%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW329+1 : TPTP v8.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 18:07:35 EDT 2024 % Result : Theorem 166.52s 166.32s % Output : CNFRefutation 166.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SWW329+1 : TPTP v8.2.0. Released v5.2.0. % 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.35 % Computer : n010.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Wed Jun 19 04:58:24 EDT 2024 % 0.13/0.35 % CPUTime : % 0.64/0.64 start to proof:theBenchmark % 166.10/166.17 %------------------------------------------- % 166.10/166.17 % File :CSE---1.7 % 166.10/166.17 % Problem :theBenchmark % 166.10/166.17 % Transform :cnf % 166.10/166.17 % Format :tptp:raw % 166.10/166.17 % Command :java -jar mcs_scs.jar %d %s % 166.10/166.17 % 166.10/166.17 % Result :Theorem 149.770000s % 166.10/166.17 % Output :CNFRefutation 149.770000s % 166.10/166.17 %------------------------------------------- % 166.10/166.18 %------------------------------------------------------------------------------ % 166.10/166.18 % File : SWW329+1 : TPTP v8.2.0. Released v5.2.0. % 166.10/166.18 % Domain : Software Verification % 166.10/166.18 % Problem : Hoare's Logic with Procedures 435126, 5000 axioms selected % 166.10/166.18 % Version : Especial. % 166.10/166.18 % English : % 166.10/166.18 % 166.10/166.18 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 166.10/166.18 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 166.10/166.18 % Source : [Bla11] % 166.10/166.18 % Names : hoare_435126.5000.p [Bla11] % 166.10/166.18 % 166.10/166.18 % Status : ContradictoryAxioms % 166.10/166.18 % Rating : 0.83 v8.2.0, 0.81 v7.4.0, 0.90 v7.3.0, 0.86 v7.1.0, 0.87 v7.0.0, 0.90 v6.4.0, 0.88 v6.2.0, 0.92 v6.1.0, 0.97 v6.0.0, 0.91 v5.5.0, 0.96 v5.3.0, 1.00 v5.2.0 % 166.10/166.18 % Syntax : Number of formulae : 5225 (1679 unt; 0 def) % 166.10/166.18 % Number of atoms : 12739 (4421 equ) % 166.10/166.18 % Maximal formula atoms : 13 ( 2 avg) % 166.10/166.18 % Number of connectives : 8518 (1004 ~; 151 |; 720 &) % 166.10/166.18 % ( 884 <=>;5759 =>; 0 <=; 0 <~>) % 166.10/166.18 % Maximal formula depth : 22 ( 6 avg) % 166.10/166.18 % Maximal term depth : 19 ( 2 avg) % 166.10/166.18 % Number of predicates : 149 ( 148 usr; 0 prp; 1-6 aty) % 166.10/166.18 % Number of functors : 390 ( 390 usr; 54 con; 0-7 aty) % 166.10/166.18 % Number of variables : 16657 (16508 !; 149 ?) % 166.10/166.18 % SPC : FOF_CAX_RFO_SEQ % 166.10/166.18 % 166.10/166.18 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 166.10/166.18 % 2011-03-01 11:59:31 % 166.10/166.18 %------------------------------------------------------------------------------ % 166.10/166.18 %----Relevant facts (4985) % 166.10/166.18 fof(fact_ext,axiom, % 166.10/166.18 ! [V_g_2,V_f_2] : % 166.10/166.18 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 166.10/166.18 => V_f_2 = V_g_2 ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_triple_Oinject,axiom, % 166.10/166.18 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] : % 166.10/166.18 ( 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) % 166.10/166.18 <=> ( V_fun1_2 = V_fun1_H_2 % 166.10/166.18 & V_com_2 = V_com_H_2 % 166.10/166.18 & V_fun2_2 = V_fun2_H_2 ) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_hoare__valids__def,axiom, % 166.10/166.18 ! [V_ts_2,V_Ga_2,T_b] : % 166.10/166.18 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_ts_2) % 166.10/166.18 <=> ! [B_n] : % 166.10/166.18 ( ! [B_x] : % 166.10/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_Ga_2)) % 166.10/166.18 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) % 166.10/166.18 => ! [B_x] : % 166.10/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2)) % 166.10/166.18 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_hoare__derivs_OBody,axiom, % 166.10/166.18 ! [V_Procsa_2,V_Qa_2,V_Pa_2,V_Ga_2,T_b] : % 166.10/166.18 ( 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_Ga_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_Pa_2)),c_Com_Ocom_OBODY)),V_Qa_2)),V_Procsa_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_Pa_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_Qa_2)),V_Procsa_2)) % 166.10/166.18 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_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_Pa_2)),c_Com_Ocom_OBODY)),V_Qa_2)),V_Procsa_2)) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup1E,axiom, % 166.10/166.18 ! [V_x_2,V_B_2,V_A_2,T_b] : % 166.10/166.18 ( 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)) % 166.10/166.18 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 166.10/166.18 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup1CI,axiom, % 166.10/166.18 ! [T_b,V_A_2,V_x_2,V_B_2] : % 166.10/166.18 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 166.10/166.18 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 166.10/166.18 => 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)) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup__fun__def,axiom, % 166.10/166.18 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 166.10/166.18 ( class_Lattices_Olattice(T_b) % 166.10/166.18 => 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)) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_triple_Orecs,axiom, % 166.10/166.18 ! [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) ). % 166.10/166.18 % 166.10/166.18 fof(fact_triple_Osimps_I2_J,axiom, % 166.10/166.18 ! [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) ). % 166.10/166.18 % 166.10/166.18 fof(fact_image__Un,axiom, % 166.10/166.18 ! [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)) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup__apply,axiom, % 166.10/166.18 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 166.10/166.18 ( class_Lattices_Olattice(T_b) % 166.10/166.18 => 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)) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_Body__triple__valid__Suc,axiom, % 166.10/166.18 ! [V_Qa_2,V_pn_2,V_Pa_2,V_n_2,T_b] : % 166.10/166.18 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Qa_2)) % 166.10/166.18 <=> 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_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Qa_2)) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_image__image,axiom, % 166.10/166.18 ! [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) ). % 166.10/166.18 % 166.10/166.18 fof(fact_image__ident,axiom, % 166.10/166.18 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 166.10/166.18 % 166.10/166.18 fof(fact_cut,axiom, % 166.10/166.18 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] : % 166.10/166.18 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2) % 166.10/166.18 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2) % 166.10/166.18 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_triple__valid__Suc,axiom, % 166.10/166.18 ! [V_t,V_n,T_a] : % 166.10/166.18 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t) % 166.10/166.18 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_triples__valid__Suc,axiom, % 166.10/166.18 ! [V_n_2,V_ts_2,T_b] : % 166.10/166.18 ( ! [B_x] : % 166.10/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2)) % 166.10/166.18 => c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),B_x) ) % 166.10/166.18 => ! [B_x] : % 166.10/166.18 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2)) % 166.10/166.18 => c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,B_x) ) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup__assoc,axiom, % 166.10/166.18 ! [V_z,V_y,V_x,T_a] : % 166.10/166.18 ( class_Lattices_Osemilattice__sup(T_a) % 166.10/166.18 => 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)) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_inf__sup__aci_I6_J,axiom, % 166.10/166.18 ! [V_z,V_y,V_x,T_a] : % 166.10/166.18 ( class_Lattices_Olattice(T_a) % 166.10/166.18 => 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)) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup_Oassoc,axiom, % 166.10/166.18 ! [V_c,V_b,V_a,T_a] : % 166.10/166.18 ( class_Lattices_Osemilattice__sup(T_a) % 166.10/166.18 => 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)) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup__left__commute,axiom, % 166.10/166.18 ! [V_z,V_y,V_x,T_a] : % 166.10/166.18 ( class_Lattices_Osemilattice__sup(T_a) % 166.10/166.18 => 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)) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_inf__sup__aci_I7_J,axiom, % 166.10/166.18 ! [V_z,V_y,V_x,T_a] : % 166.10/166.18 ( class_Lattices_Olattice(T_a) % 166.10/166.18 => 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)) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup_Oleft__commute,axiom, % 166.10/166.18 ! [V_c,V_a,V_b,T_a] : % 166.10/166.18 ( class_Lattices_Osemilattice__sup(T_a) % 166.10/166.18 => 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)) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup__left__idem,axiom, % 166.10/166.18 ! [V_y,V_x,T_a] : % 166.10/166.18 ( class_Lattices_Osemilattice__sup(T_a) % 166.10/166.18 => 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) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_inf__sup__aci_I8_J,axiom, % 166.10/166.18 ! [V_y,V_x,T_a] : % 166.10/166.18 ( class_Lattices_Olattice(T_a) % 166.10/166.18 => 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) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup_Oleft__idem,axiom, % 166.10/166.18 ! [V_b,V_a,T_a] : % 166.10/166.18 ( class_Lattices_Osemilattice__sup(T_a) % 166.10/166.18 => 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) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup__commute,axiom, % 166.10/166.18 ! [V_y,V_x,T_a] : % 166.10/166.18 ( class_Lattices_Osemilattice__sup(T_a) % 166.10/166.18 => 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) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_inf__sup__aci_I5_J,axiom, % 166.10/166.18 ! [V_y,V_x,T_a] : % 166.10/166.18 ( class_Lattices_Olattice(T_a) % 166.10/166.18 => 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) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup_Ocommute,axiom, % 166.10/166.18 ! [V_b,V_a,T_a] : % 166.10/166.18 ( class_Lattices_Osemilattice__sup(T_a) % 166.10/166.18 => 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) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup__idem,axiom, % 166.10/166.18 ! [V_x,T_a] : % 166.10/166.18 ( class_Lattices_Osemilattice__sup(T_a) % 166.10/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup_Oidem,axiom, % 166.10/166.18 ! [V_a,T_a] : % 166.10/166.18 ( class_Lattices_Osemilattice__sup(T_a) % 166.10/166.18 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup1I2,axiom, % 166.10/166.18 ! [V_A_2,T_b,V_x_2,V_B_2] : % 166.10/166.18 ( hBOOL(hAPP(V_B_2,V_x_2)) % 166.10/166.18 => 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)) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_sup1I1,axiom, % 166.10/166.18 ! [V_B_2,T_b,V_x_2,V_A_2] : % 166.10/166.18 ( hBOOL(hAPP(V_A_2,V_x_2)) % 166.10/166.18 => 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)) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_ball__Un,axiom, % 166.10/166.18 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 166.10/166.18 ( ! [B_x] : % 166.10/166.18 ( 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))) % 166.10/166.18 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.10/166.18 <=> ( ! [B_x] : % 166.10/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.10/166.18 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.10/166.18 & ! [B_x] : % 166.10/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 166.10/166.18 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_bex__Un,axiom, % 166.10/166.18 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 166.10/166.18 ( ? [B_x] : % 166.10/166.18 ( 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))) % 166.10/166.18 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.10/166.18 <=> ( ? [B_x] : % 166.10/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.10/166.18 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.10/166.18 | ? [B_x] : % 166.10/166.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 166.10/166.18 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 166.10/166.18 % 166.10/166.18 fof(fact_Un__assoc,axiom, % 166.10/166.18 ! [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)) ). % 166.10/166.18 % 166.10/166.18 fof(fact_Un__left__commute,axiom, % 166.10/166.18 ! [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)) ). % 166.10/166.18 % 166.10/166.18 fof(fact_Un__left__absorb,axiom, % 166.10/166.18 ! [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),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) ). % 166.10/166.18 % 166.10/166.18 fof(fact_Un__commute,axiom, % 166.10/166.18 ! [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) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 166.10/166.18 % 166.10/166.18 fof(fact_Un__absorb,axiom, % 166.10/166.18 ! [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 ). % 166.10/166.18 % 166.10/166.18 fof(fact_Powp__def,axiom, % 166.10/166.18 ! [V_B_2,V_A_2,T_b] : % 166.10/166.18 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2)) % 166.10/166.18 <=> ! [B_x] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 166.10/166.19 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_Body__triple__valid__0,axiom, % 166.10/166.19 ! [V_Qa_2,V_pn_2,V_Pa_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_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Qa_2)) ). % 166.10/166.19 % 166.10/166.19 fof(fact_evaln_OBody,axiom, % 166.10/166.19 ! [V_s1,V_n,V_s0,V_pn] : % 166.10/166.19 ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1) % 166.10/166.19 => c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,hAPP(c_Nat_OSuc,V_n),V_s1) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_com_Osimps_I6_J,axiom, % 166.10/166.19 ! [V_pname_H_2,V_pname_2] : % 166.10/166.19 ( hAPP(c_Com_Ocom_OBODY,V_pname_2) = hAPP(c_Com_Ocom_OBODY,V_pname_H_2) % 166.10/166.19 <=> V_pname_2 = V_pname_H_2 ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_evaln_Oequations_I9_J,axiom, % 166.10/166.19 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] : % 166.10/166.19 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_a1_2),V_a2_2,hAPP(c_Nat_OSuc,V_a3_2),V_a4_2) % 166.10/166.19 <=> 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) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_n__not__Suc__n,axiom, % 166.10/166.19 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 166.10/166.19 % 166.10/166.19 fof(fact_Suc__n__not__n,axiom, % 166.10/166.19 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 166.10/166.19 % 166.10/166.19 fof(fact_nat_Oinject,axiom, % 166.10/166.19 ! [V_nat_H_2,V_nat_2] : % 166.10/166.19 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 166.10/166.19 <=> V_nat_2 = V_nat_H_2 ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_Suc__inject,axiom, % 166.10/166.19 ! [V_y,V_x] : % 166.10/166.19 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 166.10/166.19 => V_x = V_y ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_Sup__fin_Oidem,axiom, % 166.10/166.19 ! [V_x,T_a] : % 166.10/166.19 ( class_Lattices_Olattice(T_a) % 166.10/166.19 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_Body1,axiom, % 166.10/166.19 ! [V_pn_2,V_Procsa_2,V_Qa_2,V_Pa_2,V_Ga_2,T_b] : % 166.10/166.19 ( 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_Ga_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_Pa_2)),c_Com_Ocom_OBODY)),V_Qa_2)),V_Procsa_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_Pa_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_Qa_2)),V_Procsa_2)) % 166.10/166.19 => ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),V_Procsa_2)) % 166.10/166.19 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(V_Pa_2,V_pn_2)),hAPP(c_Com_Ocom_OBODY,V_pn_2)),hAPP(V_Qa_2,V_pn_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_equalityCE,axiom, % 166.10/166.19 ! [V_c_2,T_b,V_B_2,V_A_2] : % 166.10/166.19 ( V_A_2 = V_B_2 % 166.10/166.19 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.10/166.19 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) % 166.10/166.19 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.10/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_emptyE,axiom, % 166.10/166.19 ! [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)))) ). % 166.10/166.19 % 166.10/166.19 fof(fact_insertE,axiom, % 166.10/166.19 ! [V_A_2,V_b_2,V_a_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 166.10/166.19 => ( V_a_2 != V_b_2 % 166.10/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_insertCI,axiom, % 166.10/166.19 ! [V_b_2,V_B_2,V_a_2,T_b] : % 166.10/166.19 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 166.10/166.19 => V_a_2 = V_b_2 ) % 166.10/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_image__eqI,axiom, % 166.10/166.19 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] : % 166.10/166.19 ( V_b_2 = hAPP(V_f_2,V_x_2) % 166.10/166.19 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 166.10/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_UnE,axiom, % 166.10/166.19 ! [V_B_2,V_A_2,V_c_2,T_b] : % 166.10/166.19 ( 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))) % 166.10/166.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.10/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_UnCI,axiom, % 166.10/166.19 ! [V_A_2,V_B_2,V_c_2,T_b] : % 166.10/166.19 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 166.10/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) % 166.10/166.19 => 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))) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_empty__not__insert,axiom, % 166.10/166.19 ! [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) ). % 166.10/166.19 % 166.10/166.19 fof(fact_insert__not__empty,axiom, % 166.10/166.19 ! [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)) ). % 166.10/166.19 % 166.10/166.19 fof(fact_bot__empty__eq,axiom, % 166.10/166.19 ! [V_x_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) % 166.10/166.19 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_insertI1,axiom, % 166.10/166.19 ! [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))) ). % 166.10/166.19 % 166.10/166.19 fof(fact_all__not__in__conv,axiom, % 166.10/166.19 ! [V_A_2,T_b] : % 166.10/166.19 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.10/166.19 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_ex__in__conv,axiom, % 166.10/166.19 ! [V_A_2,T_b] : % 166.10/166.19 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.10/166.19 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_empty__iff,axiom, % 166.10/166.19 ! [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)))) ). % 166.10/166.19 % 166.10/166.19 fof(fact_mem__def,axiom, % 166.10/166.19 ! [V_A_2,V_x_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.10/166.19 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_eq__mem,axiom, % 166.10/166.19 ! [V_y_2,V_x_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2))) % 166.10/166.19 <=> V_x_2 = V_y_2 ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_singleton__iff,axiom, % 166.10/166.19 ! [V_a_2,V_b_2,T_b] : % 166.10/166.19 ( 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))))) % 166.10/166.19 <=> V_b_2 = V_a_2 ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_insert__absorb2,axiom, % 166.10/166.19 ! [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) ). % 166.10/166.19 % 166.10/166.19 fof(fact_insert__commute,axiom, % 166.10/166.19 ! [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)) ). % 166.10/166.19 % 166.10/166.19 fof(fact_insert__iff,axiom, % 166.10/166.19 ! [V_A_2,V_b_2,V_a_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 166.10/166.19 <=> ( V_a_2 = V_b_2 % 166.10/166.19 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_doubleton__eq__iff,axiom, % 166.10/166.19 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.10/166.19 ( 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)))) % 166.10/166.19 <=> ( ( V_a_2 = V_c_2 % 166.10/166.19 & V_b_2 = V_d_2 ) % 166.10/166.19 | ( V_a_2 = V_d_2 % 166.10/166.19 & V_b_2 = V_c_2 ) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_insert__code,axiom, % 166.10/166.19 ! [V_x_2,V_A_2,V_y_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)) % 166.10/166.19 <=> ( V_y_2 = V_x_2 % 166.10/166.19 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_insert__ident,axiom, % 166.10/166.19 ! [V_B_2,V_A_2,V_x_2,T_b] : % 166.10/166.19 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.10/166.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 166.10/166.19 => ( 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) % 166.10/166.19 <=> V_A_2 = V_B_2 ) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_equals0D,axiom, % 166.10/166.19 ! [V_a_2,T_b,V_A_2] : % 166.10/166.19 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.10/166.19 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_insertI2,axiom, % 166.10/166.19 ! [V_b_2,V_B_2,V_a_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 166.10/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_insert__absorb,axiom, % 166.10/166.19 ! [V_A_2,V_a_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.10/166.19 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_eqset__imp__iff,axiom, % 166.10/166.19 ! [V_x_2,T_b,V_B_2,V_A_2] : % 166.10/166.19 ( V_A_2 = V_B_2 % 166.10/166.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.10/166.19 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_eqelem__imp__iff,axiom, % 166.10/166.19 ! [V_A_2,T_b,V_y_2,V_x_2] : % 166.10/166.19 ( V_x_2 = V_y_2 % 166.10/166.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.10/166.19 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_eq__mem__trans,axiom, % 166.10/166.19 ! [V_A_2,T_b,V_b_2,V_a_2] : % 166.10/166.19 ( V_a_2 = V_b_2 % 166.10/166.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 166.10/166.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_singletonE,axiom, % 166.10/166.19 ! [V_a_2,V_b_2,T_b] : % 166.10/166.19 ( 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))))) % 166.10/166.19 => V_b_2 = V_a_2 ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_singleton__inject,axiom, % 166.10/166.19 ! [V_b_2,V_a_2,T_b] : % 166.10/166.19 ( 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))) % 166.10/166.19 => V_a_2 = V_b_2 ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_image__constant,axiom, % 166.10/166.19 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.10/166.19 => 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))) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_insert__image,axiom, % 166.10/166.19 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.10/166.19 => 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) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_insert__is__Un,axiom, % 166.10/166.19 ! [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) ). % 166.10/166.19 % 166.10/166.19 fof(fact_pred__equals__eq,axiom, % 166.10/166.19 ! [V_S_2,V_R_2,T_b] : % 166.10/166.19 ( 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) % 166.10/166.19 <=> V_R_2 = V_S_2 ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_derivs__insertD,axiom, % 166.10/166.19 ! [V_ts_2,V_t_2,V_Ga_2,T_b] : % 166.10/166.19 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2)) % 166.10/166.19 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.10/166.19 & c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_hoare__derivs_Oinsert,axiom, % 166.10/166.19 ! [V_ts_2,V_t_2,V_Ga_2,T_b] : % 166.10/166.19 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.10/166.19 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) % 166.10/166.19 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2)) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_evaln__Suc,axiom, % 166.10/166.19 ! [V_s_H,V_n,V_s,V_c] : % 166.10/166.19 ( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) % 166.10/166.19 => c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_Suc__neq__Zero,axiom, % 166.10/166.19 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.10/166.19 % 166.10/166.19 fof(fact_Zero__neq__Suc,axiom, % 166.10/166.19 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 166.10/166.19 % 166.10/166.19 fof(fact_nat_Osimps_I3_J,axiom, % 166.10/166.19 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.10/166.19 % 166.10/166.19 fof(fact_Suc__not__Zero,axiom, % 166.10/166.19 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.10/166.19 % 166.10/166.19 fof(fact_nat_Osimps_I2_J,axiom, % 166.10/166.19 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 166.10/166.19 % 166.10/166.19 fof(fact_Zero__not__Suc,axiom, % 166.10/166.19 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 166.10/166.19 % 166.10/166.19 fof(fact_image__constant__conv,axiom, % 166.10/166.19 ! [V_c_2,T_c,T_b,V_A_2] : % 166.10/166.19 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.10/166.19 => 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)) ) % 166.10/166.19 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.10/166.19 => 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))) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_image__insert,axiom, % 166.10/166.19 ! [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)) ). % 166.10/166.19 % 166.10/166.19 fof(fact_Un__insert__right,axiom, % 166.10/166.19 ! [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)) ). % 166.10/166.19 % 166.10/166.19 fof(fact_Un__insert__left,axiom, % 166.10/166.19 ! [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)) ). % 166.10/166.19 % 166.10/166.19 fof(fact_image__iff,axiom, % 166.10/166.19 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 166.10/166.19 <=> ? [B_x] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.10/166.19 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_imageI,axiom, % 166.10/166.19 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.10/166.19 => 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))) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_rev__image__eqI,axiom, % 166.10/166.19 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.10/166.19 => ( V_b_2 = hAPP(V_f_2,V_x_2) % 166.10/166.19 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_Un__iff,axiom, % 166.10/166.19 ! [V_B_2,V_A_2,V_c_2,T_b] : % 166.10/166.19 ( 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))) % 166.10/166.19 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.10/166.19 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_UnI1,axiom, % 166.10/166.19 ! [V_B_2,V_A_2,V_c_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.10/166.19 => 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))) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_UnI2,axiom, % 166.10/166.19 ! [V_A_2,V_B_2,V_c_2,T_b] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 166.10/166.19 => 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))) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_empty__is__image,axiom, % 166.10/166.19 ! [V_A_2,V_f_2,T_c,T_b] : % 166.10/166.19 ( 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) % 166.10/166.19 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_image__empty,axiom, % 166.10/166.19 ! [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)) ). % 166.10/166.19 % 166.10/166.19 fof(fact_image__is__empty,axiom, % 166.10/166.19 ! [V_A_2,V_f_2,T_b,T_c] : % 166.10/166.19 ( 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)) % 166.10/166.19 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_ball__empty,axiom, % 166.10/166.19 ! [V_Pa_2,T_b,B_x] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 166.10/166.19 => hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_Un__empty__left,axiom, % 166.10/166.19 ! [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 ). % 166.10/166.19 % 166.10/166.19 fof(fact_Un__empty__right,axiom, % 166.10/166.19 ! [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 ). % 166.10/166.19 % 166.10/166.19 fof(fact_Un__empty,axiom, % 166.10/166.19 ! [V_B_2,V_A_2,T_b] : % 166.10/166.19 ( 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)) % 166.10/166.19 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.10/166.19 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_hoare__derivs_Oequations_I1_J,axiom, % 166.10/166.19 ! [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))) ). % 166.10/166.19 % 166.10/166.19 fof(fact_empty,axiom, % 166.10/166.19 ! [V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ). % 166.10/166.19 % 166.10/166.19 fof(fact_sup__Un__eq,axiom, % 166.10/166.19 ! [V_x_2,V_S_2,V_R_2,T_b] : % 166.10/166.19 ( 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)) % 166.10/166.19 <=> 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))) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_sup__bot__left,axiom, % 166.10/166.19 ! [V_x,T_a] : % 166.10/166.19 ( class_Lattices_Obounded__lattice__bot(T_a) % 166.10/166.19 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_sup__bot__right,axiom, % 166.10/166.19 ! [V_x,T_a] : % 166.10/166.19 ( class_Lattices_Obounded__lattice__bot(T_a) % 166.10/166.19 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_sup__eq__bot__iff,axiom, % 166.10/166.19 ! [V_y_2,V_x_2,T_b] : % 166.10/166.19 ( class_Lattices_Obounded__lattice__bot(T_b) % 166.10/166.19 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b) % 166.10/166.19 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b) % 166.10/166.19 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_triple__valid__def2,axiom, % 166.10/166.19 ! [V_Qa_2,V_c_2,V_Pa_2,V_n_2,T_b] : % 166.10/166.19 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)) % 166.10/166.19 <=> ! [B_Z,B_s] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s)) % 166.10/166.19 => ! [B_s_H] : % 166.10/166.19 ( c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H) % 166.10/166.19 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_weak__Body,axiom, % 166.10/166.19 ! [V_Qa_2,V_pn_2,V_Pa_2,V_Ga_2,T_b] : % 166.10/166.19 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.10/166.19 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_BodyN,axiom, % 166.10/166.19 ! [V_Ga_2,V_Qa_2,V_pn_2,V_Pa_2,T_b] : % 166.10/166.19 ( 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_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Qa_2)),V_Ga_2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.10/166.19 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_triple_Osize_I1_J,axiom, % 166.10/166.19 ! [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) ). % 166.10/166.19 % 166.10/166.19 fof(fact_triple_Osize_I2_J,axiom, % 166.10/166.19 ! [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) ). % 166.10/166.19 % 166.10/166.19 fof(fact_evaln__elim__cases_I6_J,axiom, % 166.10/166.19 ! [V_s1,V_n,V_s,V_P] : % 166.10/166.19 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1) % 166.10/166.19 => ~ ! [B_n] : % 166.10/166.19 ( V_n = hAPP(c_Nat_OSuc,B_n) % 166.10/166.19 => ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,B_n,V_s1) ) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_the__elem__eq,axiom, % 166.10/166.19 ! [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 ). % 166.10/166.19 % 166.10/166.19 fof(fact_bot__fun__def,axiom, % 166.10/166.19 ! [V_x_2,T_c,T_b] : % 166.10/166.19 ( class_Orderings_Obot(T_b) % 166.10/166.19 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_bot__apply,axiom, % 166.10/166.19 ! [V_x_2,T_c,T_b] : % 166.10/166.19 ( class_Orderings_Obot(T_b) % 166.10/166.19 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_escape,axiom, % 166.10/166.19 ! [V_Qa_2,V_c_2,V_Ga_2,T_b,V_Pa_2] : % 166.10/166.19 ( ! [B_Z,B_s] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s)) % 166.10/166.19 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_c_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Qa_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) % 166.10/166.19 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ). % 166.10/166.19 % 166.10/166.19 fof(fact_hoare__derivs_Oequations_I7_J,axiom, % 166.10/166.19 ! [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)))) ). % 166.10/166.19 % 166.10/166.19 fof(fact_hoare__derivs_OSkip,axiom, % 166.10/166.19 ! [V_Pa_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OSKIP),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 166.10/166.19 % 166.10/166.19 fof(fact_conseq1,axiom, % 166.10/166.19 ! [V_Pa_2,V_Qa_2,V_c_2,V_P_H_2,V_Ga_2,T_b] : % 166.10/166.19 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_H_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.10/166.19 => ( ! [B_Z,B_s] : % 166.10/166.19 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s)) % 166.10/166.19 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) ) % 166.10/166.20 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_conseq2,axiom, % 166.10/166.20 ! [V_Qa_2,V_Q_H_2,V_c_2,V_Pa_2,V_Ga_2,T_b] : % 166.10/166.20 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.10/166.20 => ( ! [B_Z,B_s] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s)) % 166.10/166.20 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s)) ) % 166.10/166.20 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Comp,axiom, % 166.10/166.20 ! [V_R_2,V_d_2,V_Qa_2,V_c_2,V_Pa_2,V_Ga_2,T_b] : % 166.10/166.20 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.10/166.20 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Qa_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.10/166.20 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OSemi(V_c_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln_OSemi,axiom, % 166.10/166.20 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] : % 166.10/166.20 ( c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1) % 166.10/166.20 => ( c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2) % 166.10/166.20 => c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln_OSkip,axiom, % 166.10/166.20 ! [V_n,V_s] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln__elim__cases_I1_J,axiom, % 166.10/166.20 ! [V_t,V_n,V_s] : % 166.10/166.20 ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) % 166.10/166.20 => V_t = V_s ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I3_J,axiom, % 166.10/166.20 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] : % 166.10/166.20 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) % 166.10/166.20 <=> ( V_com1_2 = V_com1_H_2 % 166.10/166.20 & V_com2_2 = V_com2_H_2 ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I13_J,axiom, % 166.10/166.20 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I12_J,axiom, % 166.10/166.20 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln_Oequations_I4_J,axiom, % 166.10/166.20 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] : % 166.10/166.20 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_a1_2,V_a5_2),V_a2_2,V_a3_2,V_a6_2) % 166.10/166.20 <=> ? [B_s1] : % 166.10/166.20 ( c_Natural_Oevaln(V_a1_2,V_a2_2,V_a3_2,B_s1) % 166.10/166.20 & c_Natural_Oevaln(V_a5_2,B_s1,V_a3_2,V_a6_2) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I48_J,axiom, % 166.10/166.20 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I49_J,axiom, % 166.10/166.20 ! [V_com2,V_com1,V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 166.10/166.20 % 166.10/166.20 fof(fact_bot__nat__def,axiom, % 166.10/166.20 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln_Oequations_I1_J,axiom, % 166.10/166.20 ! [V_a2,V_a1] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_a1,V_a2,V_a1) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I19_J,axiom, % 166.10/166.20 ! [V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I18_J,axiom, % 166.10/166.20 ! [V_pname_H] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ). % 166.10/166.20 % 166.10/166.20 fof(fact_the__elem__def,axiom, % 166.10/166.20 ! [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))))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_LoopF,axiom, % 166.10/166.20 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_Pa_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),V_b_2))),c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_OBody,axiom, % 166.10/166.20 ! [V_s1,V_s0,V_pn] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1)) % 166.10/166.20 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1)) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc__elim__cases_I6_J,axiom, % 166.10/166.20 ! [V_s1,V_s,V_P] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1)) % 166.10/166.20 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1)) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_override__on__def,axiom, % 166.10/166.20 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 166.10/166.20 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.10/166.20 => 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) ) % 166.10/166.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.10/166.20 => 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) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_Oequations_I9_J,axiom, % 166.10/166.20 ! [V_a3_2,V_a2_2,V_a1_2] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),V_a3_2)) % 166.10/166.20 <=> 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)) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_imageE,axiom, % 166.10/166.20 ! [V_A_2,V_f_2,T_c,V_b_2,T_b] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 166.10/166.20 => ~ ! [B_x] : % 166.10/166.20 ( V_b_2 = hAPP(V_f_2,B_x) % 166.10/166.20 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln__elim__cases_I4_J,axiom, % 166.10/166.20 ! [V_t,V_n,V_s,V_c2,V_c1] : % 166.10/166.20 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t) % 166.10/166.20 => ~ ! [B_s1] : % 166.10/166.20 ( c_Natural_Oevaln(V_c1,V_s,V_n,B_s1) % 166.10/166.20 => ~ c_Natural_Oevaln(V_c2,B_s1,V_n,V_t) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Least__Suc,axiom, % 166.10/166.20 ! [V_n_2,V_Pa_2] : % 166.10/166.20 ( hBOOL(hAPP(V_Pa_2,V_n_2)) % 166.10/166.20 => ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 166.10/166.20 => c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_Pa_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_Pa_2),c_Nat_OSuc))) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osize_I1_J,axiom, % 166.10/166.20 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Nats__0,axiom, % 166.10/166.20 ! [T_b] : % 166.10/166.20 ( class_Rings_Osemiring__1(T_b) % 166.10/166.20 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln_OWhileTrue,axiom, % 166.10/166.20 ! [V_s2_2,V_s1_2,V_n_2,V_c_2,V_s0_2,V_b_2] : % 166.10/166.20 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 166.10/166.20 => ( c_Natural_Oevaln(V_c_2,V_s0_2,V_n_2,V_s1_2) % 166.10/166.20 => ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s1_2,V_n_2,V_s2_2) % 166.10/166.20 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s0_2,V_n_2,V_s2_2) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln_OWhileFalse,axiom, % 166.10/166.20 ! [V_n_2,V_c_2,V_s_2,V_b_2] : % 166.10/166.20 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 166.10/166.20 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_n_2,V_s_2) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_OWhileFalse,axiom, % 166.10/166.20 ! [V_c_2,V_s_2,V_b_2] : % 166.10/166.20 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 166.10/166.20 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s_2),V_s_2)) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_OWhileTrue,axiom, % 166.10/166.20 ! [V_s2_2,V_s1_2,V_c_2,V_s0_2,V_b_2] : % 166.10/166.20 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 166.10/166.20 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s0_2),V_s1_2)) % 166.10/166.20 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s1_2),V_s2_2)) % 166.10/166.20 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s0_2),V_s2_2)) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_OSemi,axiom, % 166.10/166.20 ! [V_s2,V_c1,V_s1,V_s0,V_c0] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1)) % 166.10/166.20 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2)) % 166.10/166.20 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_OSkip,axiom, % 166.10/166.20 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc__elim__cases_I1_J,axiom, % 166.10/166.20 ! [V_t,V_s] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t)) % 166.10/166.20 => V_t = V_s ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I5_J,axiom, % 166.10/166.20 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] : % 166.10/166.20 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) % 166.10/166.20 <=> ( V_fun_2 = V_fun_H_2 % 166.10/166.20 & V_com_2 = V_com_H_2 ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_Oequations_I7_J,axiom, % 166.10/166.20 ! [V_a2_2,V_a3_2,V_a1_2] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2)) % 166.10/166.20 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 166.10/166.20 => ? [B_s1] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 166.10/166.20 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_Oequations_I8_J,axiom, % 166.10/166.20 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2)) % 166.10/166.20 <=> ( ( V_a5_2 = V_a2_2 % 166.10/166.20 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 166.10/166.20 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 166.10/166.20 & ? [B_s1] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 166.10/166.20 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com__det,axiom, % 166.10/166.20 ! [V_u,V_t,V_s,V_c] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) % 166.10/166.20 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u)) % 166.10/166.20 => V_u = V_t ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_LeastI__ex,axiom, % 166.10/166.20 ! [V_Pa_2,T_b] : % 166.10/166.20 ( class_Orderings_Owellorder(T_b) % 166.10/166.20 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 166.10/166.20 => hBOOL(hAPP(V_Pa_2,c_Orderings_Oord__class_OLeast(T_b,V_Pa_2))) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_LeastI,axiom, % 166.10/166.20 ! [V_k_2,V_Pa_2,T_b] : % 166.10/166.20 ( class_Orderings_Owellorder(T_b) % 166.10/166.20 => ( hBOOL(hAPP(V_Pa_2,V_k_2)) % 166.10/166.20 => hBOOL(hAPP(V_Pa_2,c_Orderings_Oord__class_OLeast(T_b,V_Pa_2))) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln__evalc,axiom, % 166.10/166.20 ! [V_t,V_n,V_s,V_c] : % 166.10/166.20 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t) % 166.10/166.20 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_eval__eq,axiom, % 166.10/166.20 ! [V_t_2,V_s_2,V_c_2] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s_2),V_t_2)) % 166.10/166.20 <=> ? [B_n] : c_Natural_Oevaln(V_c_2,V_s_2,B_n,V_t_2) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_Oequations_I4_J,axiom, % 166.10/166.20 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2)) % 166.10/166.20 <=> ? [B_s1] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1)) % 166.10/166.20 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_Oequations_I1_J,axiom, % 166.10/166.20 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln_Oequations_I8_J,axiom, % 166.10/166.20 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 166.10/166.20 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a6_2) % 166.10/166.20 <=> ( ( V_a6_2 = V_a2_2 % 166.10/166.20 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 166.10/166.20 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 166.10/166.20 & ? [B_s1] : % 166.10/166.20 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1) % 166.10/166.20 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a6_2) ) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln_Oequations_I7_J,axiom, % 166.10/166.20 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 166.10/166.20 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a2_2) % 166.10/166.20 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 166.10/166.20 => ? [B_s1] : % 166.10/166.20 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1) % 166.10/166.20 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a2_2) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I59_J,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I58_J,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I46_J,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I47_J,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I16_J,axiom, % 166.10/166.20 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I17_J,axiom, % 166.10/166.20 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 166.10/166.20 % 166.10/166.20 fof(fact_override__on__apply__notin,axiom, % 166.10/166.20 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 166.10/166.20 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.10/166.20 => 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) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_override__on__apply__in,axiom, % 166.10/166.20 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.10/166.20 => 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) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_override__on__emptyset,axiom, % 166.10/166.20 ! [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 ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osize_I7_J,axiom, % 166.10/166.20 ! [V_pname] : c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.10/166.20 % 166.10/166.20 fof(fact_MGT__def,axiom, % 166.10/166.20 ! [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)) ). % 166.10/166.20 % 166.10/166.20 fof(fact_the__eq__trivial,axiom, % 166.10/166.20 ! [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 ). % 166.10/166.20 % 166.10/166.20 fof(fact_the__sym__eq__trivial,axiom, % 166.10/166.20 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osize_I4_J,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osize_I6_J,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Least__Suc2,axiom, % 166.10/166.20 ! [V_m_2,V_Qa_2,V_n_2,V_Pa_2] : % 166.10/166.20 ( hBOOL(hAPP(V_Pa_2,V_n_2)) % 166.10/166.20 => ( hBOOL(hAPP(V_Qa_2,V_m_2)) % 166.10/166.20 => ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 166.10/166.20 => ( ! [B_k] : % 166.10/166.20 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_OSuc,B_k))) % 166.10/166.20 <=> hBOOL(hAPP(V_Qa_2,B_k)) ) % 166.10/166.20 => c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_Pa_2) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_Qa_2)) ) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_the__inv__into__def,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Loop__sound__lemma,axiom, % 166.10/166.20 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] : % 166.10/166.20 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2)),V_c_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.10/166.20 => c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc__elim__cases_I4_J,axiom, % 166.10/166.20 ! [V_t,V_s,V_c2,V_c1] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t)) % 166.10/166.20 => ~ ! [B_s1] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1)) % 166.10/166.20 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Powp__Pow__eq,axiom, % 166.10/166.20 ! [V_x_2,V_A_2,T_b] : % 166.10/166.20 ( 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)) % 166.10/166.20 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osize_I9_J,axiom, % 166.10/166.20 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Pow__not__empty,axiom, % 166.10/166.20 ! [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)) ). % 166.10/166.20 % 166.10/166.20 fof(fact_nat__add__right__cancel,axiom, % 166.10/166.20 ! [V_n_2,V_k_2,V_m_2] : % 166.10/166.20 ( 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) % 166.10/166.20 <=> V_m_2 = V_n_2 ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_nat__add__left__cancel,axiom, % 166.10/166.20 ! [V_n_2,V_m_2,V_k_2] : % 166.10/166.20 ( 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) % 166.10/166.20 <=> V_m_2 = V_n_2 ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_nat__add__assoc,axiom, % 166.10/166.20 ! [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)) ). % 166.10/166.20 % 166.10/166.20 fof(fact_nat__add__left__commute,axiom, % 166.10/166.20 ! [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)) ). % 166.10/166.20 % 166.10/166.20 fof(fact_nat__add__commute,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_o__eq__elim,axiom, % 166.10/166.20 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 166.10/166.20 ( 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) % 166.10/166.20 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_o__eq__dest,axiom, % 166.10/166.20 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 166.10/166.20 ( 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) % 166.10/166.20 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_o__apply,axiom, % 166.10/166.20 ! [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)) ). % 166.10/166.20 % 166.10/166.20 fof(fact_o__assoc,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Cantors__paradox,axiom, % 166.10/166.20 ! [V_A_2,T_b] : % 166.10/166.20 ~ ? [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Pow__top,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_o__def,axiom, % 166.10/166.20 ! [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)) ). % 166.10/166.20 % 166.10/166.20 fof(fact_image__compose,axiom, % 166.10/166.20 ! [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)) ). % 166.10/166.20 % 166.10/166.20 fof(fact_plus__nat_Oadd__0,axiom, % 166.10/166.20 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 166.10/166.20 % 166.10/166.20 fof(fact_Nat_Oadd__0__right,axiom, % 166.10/166.20 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__is__0,axiom, % 166.10/166.20 ! [V_n_2,V_m_2] : % 166.10/166.20 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.10/166.20 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.10/166.20 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__eq__self__zero,axiom, % 166.10/166.20 ! [V_n,V_m] : % 166.10/166.20 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 166.10/166.20 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__Suc__right,axiom, % 166.10/166.20 ! [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)) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__Suc,axiom, % 166.10/166.20 ! [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)) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__Suc__shift,axiom, % 166.10/166.20 ! [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)) ). % 166.10/166.20 % 166.10/166.20 fof(fact_peek__and__def,axiom, % 166.10/166.20 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_b] : % 166.10/166.20 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_p_2),V_Z_2),V_s_2)) % 166.10/166.20 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2)) % 166.10/166.20 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Pow__empty,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Pow__bottom,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Pow__insert,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_image__Pow__surj,axiom, % 166.10/166.20 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 166.10/166.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2 % 166.10/166.20 => 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) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osize_I14_J,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osize_I12_J,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__is__1,axiom, % 166.10/166.20 ! [V_n_2,V_m_2] : % 166.10/166.20 ( 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)) % 166.10/166.20 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 166.10/166.20 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.10/166.20 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.10/166.20 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_one__is__add,axiom, % 166.10/166.20 ! [V_n_2,V_m_2] : % 166.10/166.20 ( 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) % 166.10/166.20 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 166.10/166.20 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.10/166.20 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.10/166.20 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Nats__add,axiom, % 166.10/166.20 ! [V_b_2,V_a_2,T_b] : % 166.10/166.20 ( class_Rings_Osemiring__1(T_b) % 166.10/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 166.10/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 166.10/166.20 => 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))) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osize_I15_J,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Loop,axiom, % 166.10/166.20 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] : % 166.10/166.20 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2)),V_c_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.10/166.20 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_hoare__derivs_OIf,axiom, % 166.10/166.20 ! [V_d_2,V_Qa_2,V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] : % 166.10/166.20 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2)),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.10/166.20 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2))),V_d_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 166.10/166.20 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OCond(V_b_2,V_c_2,V_d_2)),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__0__left,axiom, % 166.10/166.20 ! [V_a,T_a] : % 166.10/166.20 ( class_Groups_Omonoid__add(T_a) % 166.10/166.20 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 166.10/166.20 ! [V_a,T_a] : % 166.10/166.20 ( class_Rings_Ocomm__semiring__1(T_a) % 166.10/166.20 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__0,axiom, % 166.10/166.20 ! [V_a,T_a] : % 166.10/166.20 ( class_Groups_Ocomm__monoid__add(T_a) % 166.10/166.20 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_double__zero__sym,axiom, % 166.10/166.20 ! [V_a_2,T_b] : % 166.10/166.20 ( class_Groups_Olinordered__ab__group__add(T_b) % 166.10/166.20 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) % 166.10/166.20 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__0__right,axiom, % 166.10/166.20 ! [V_a,T_a] : % 166.10/166.20 ( class_Groups_Omonoid__add(T_a) % 166.10/166.20 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 166.10/166.20 ! [V_a,T_a] : % 166.10/166.20 ( class_Rings_Ocomm__semiring__1(T_a) % 166.10/166.20 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add_Ocomm__neutral,axiom, % 166.10/166.20 ! [V_a,T_a] : % 166.10/166.20 ( class_Groups_Ocomm__monoid__add(T_a) % 166.10/166.20 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__0__iff,axiom, % 166.10/166.20 ! [V_a_2,V_b_2,T_b] : % 166.10/166.20 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 166.10/166.20 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) % 166.10/166.20 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_double__eq__0__iff,axiom, % 166.10/166.20 ! [V_a_2,T_b] : % 166.10/166.20 ( class_Groups_Olinordered__ab__group__add(T_b) % 166.10/166.20 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.10/166.20 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osize_I13_J,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln__elim__cases_I5_J,axiom, % 166.10/166.20 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 166.10/166.20 ( 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) % 166.10/166.20 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 166.10/166.20 => ~ c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_t_2) ) % 166.10/166.20 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 166.10/166.20 => ~ c_Natural_Oevaln(V_c2_2,V_s_2,V_n_2,V_t_2) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln_OIfTrue,axiom, % 166.10/166.20 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_b_2] : % 166.10/166.20 ( hBOOL(hAPP(V_b_2,V_s_2)) % 166.10/166.20 => ( c_Natural_Oevaln(V_c0_2,V_s_2,V_n_2,V_s1_2) % 166.10/166.20 => 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) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln_OIfFalse,axiom, % 166.10/166.20 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_b_2] : % 166.10/166.20 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 166.10/166.20 => ( c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_s1_2) % 166.10/166.20 => 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) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_OIfFalse,axiom, % 166.10/166.20 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] : % 166.10/166.20 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 166.10/166.20 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2)) % 166.10/166.20 => 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)) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_OIfTrue,axiom, % 166.10/166.20 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] : % 166.10/166.20 ( hBOOL(hAPP(V_b_2,V_s_2)) % 166.10/166.20 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2)) % 166.10/166.20 => 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)) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc__elim__cases_I5_J,axiom, % 166.10/166.20 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 166.10/166.20 ( 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)) % 166.10/166.20 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 166.10/166.20 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) ) % 166.10/166.20 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 166.10/166.20 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I4_J,axiom, % 166.10/166.20 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : % 166.10/166.20 ( 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) % 166.10/166.20 <=> ( V_fun_2 = V_fun_H_2 % 166.10/166.20 & V_com1_2 = V_com1_H_2 % 166.10/166.20 & V_com2_2 = V_com2_H_2 ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln_Oequations_I6_J,axiom, % 166.10/166.20 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] : % 166.10/166.20 ( 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) % 166.10/166.20 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 166.10/166.20 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) % 166.10/166.20 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 166.10/166.20 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evaln_Oequations_I5_J,axiom, % 166.10/166.20 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] : % 166.10/166.20 ( 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) % 166.10/166.20 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 166.10/166.20 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) % 166.10/166.20 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 166.10/166.20 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_Oequations_I5_J,axiom, % 166.10/166.20 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] : % 166.10/166.20 ( 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)) % 166.10/166.20 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 166.10/166.20 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) % 166.10/166.20 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 166.10/166.20 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_evalc_Oequations_I6_J,axiom, % 166.10/166.20 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] : % 166.10/166.20 ( 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)) % 166.10/166.20 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 166.10/166.20 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) % 166.10/166.20 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 166.10/166.20 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I55_J,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I54_J,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I53_J,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I52_J,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I44_J,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I45_J,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I14_J,axiom, % 166.10/166.20 ! [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) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osimps_I15_J,axiom, % 166.10/166.20 ! [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 ). % 166.10/166.20 % 166.10/166.20 fof(fact_zero__reorient,axiom, % 166.10/166.20 ! [V_x_2,T_b] : % 166.10/166.20 ( class_Groups_Ozero(T_b) % 166.10/166.20 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2 % 166.10/166.20 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__right__imp__eq,axiom, % 166.10/166.20 ! [V_c,V_a,V_b,T_a] : % 166.10/166.20 ( class_Groups_Ocancel__semigroup__add(T_a) % 166.10/166.20 => ( 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) % 166.10/166.20 => V_b = V_c ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__imp__eq,axiom, % 166.10/166.20 ! [V_c,V_b,V_a,T_a] : % 166.10/166.20 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 166.10/166.20 => ( 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) % 166.10/166.20 => V_b = V_c ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__left__imp__eq,axiom, % 166.10/166.20 ! [V_c,V_b,V_a,T_a] : % 166.10/166.20 ( class_Groups_Ocancel__semigroup__add(T_a) % 166.10/166.20 => ( 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) % 166.10/166.20 => V_b = V_c ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 166.10/166.20 ! [V_d,V_c,V_b,V_a,T_a] : % 166.10/166.20 ( class_Rings_Ocomm__semiring__1(T_a) % 166.10/166.20 => 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)) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__right__cancel,axiom, % 166.10/166.20 ! [V_c_2,V_a_2,V_b_2,T_b] : % 166.10/166.20 ( class_Groups_Ocancel__semigroup__add(T_b) % 166.10/166.20 => ( 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) % 166.10/166.20 <=> V_b_2 = V_c_2 ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_add__left__cancel,axiom, % 166.10/166.20 ! [V_c_2,V_b_2,V_a_2,T_b] : % 166.10/166.20 ( class_Groups_Ocancel__semigroup__add(T_b) % 166.10/166.20 => ( 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) % 166.10/166.20 <=> V_b_2 = V_c_2 ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 166.10/166.20 ! [V_c,V_b,V_a,T_a] : % 166.10/166.20 ( class_Rings_Ocomm__semiring__1(T_a) % 166.10/166.20 => 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) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 166.10/166.20 ! [V_c,V_b,V_a,T_a] : % 166.10/166.20 ( class_Groups_Oab__semigroup__add(T_a) % 166.10/166.20 => 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)) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 166.10/166.20 ! [V_c,V_b,V_a,T_a] : % 166.10/166.20 ( class_Rings_Ocomm__semiring__1(T_a) % 166.10/166.20 => 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)) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 166.10/166.20 ! [V_d,V_c,V_a,T_a] : % 166.10/166.20 ( class_Rings_Ocomm__semiring__1(T_a) % 166.10/166.20 => 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) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 166.10/166.20 ! [V_d,V_c,V_a,T_a] : % 166.10/166.20 ( class_Rings_Ocomm__semiring__1(T_a) % 166.10/166.20 => 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)) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 166.10/166.20 ! [V_c,V_a,T_a] : % 166.10/166.20 ( class_Rings_Ocomm__semiring__1(T_a) % 166.10/166.20 => 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) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osize_I5_J,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osize_I3_J,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_com_Osize_I11_J,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_K__record__comp,axiom, % 166.10/166.20 ! [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 ). % 166.10/166.20 % 166.10/166.20 fof(fact_nat_Osize_I2_J,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Ints__double__eq__0__iff,axiom, % 166.10/166.20 ! [V_a_2,T_b] : % 166.10/166.20 ( class_Int_Oring__char__0(T_b) % 166.10/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 166.10/166.20 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.10/166.20 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_nat_Osize_I4_J,axiom, % 166.10/166.20 ! [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))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_Un__Pow__subset,axiom, % 166.10/166.20 ! [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)))) ). % 166.10/166.20 % 166.10/166.20 fof(fact_the__inv__into__comp,axiom, % 166.10/166.20 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 166.10/166.20 ( 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)) % 166.10/166.20 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 166.10/166.20 => ( 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)))) % 166.10/166.20 => 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) ) ) ) ). % 166.10/166.20 % 166.10/166.20 fof(fact_finite__pointwise,axiom, % 166.10/166.20 ! [V_Qa_2,V_Pa_2,V_Q_H_2,V_c0_2,V_P_H_2,V_Ga_2,T_c,V_U_2,T_b] : % 166.10/166.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_U_2)) % 166.10/166.20 => ( ! [B_p] : % 166.23/166.20 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_P_H_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_H_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) % 166.23/166.20 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_Pa_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Qa_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) ) % 166.23/166.20 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_P_H_2)),V_c0_2)),V_Q_H_2)),V_U_2)) % 166.23/166.20 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_Pa_2)),V_c0_2)),V_Qa_2)),V_U_2)) ) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_o__eq__dest__lhs,axiom, % 166.23/166.20 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 166.23/166.20 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2 % 166.23/166.20 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_comp__cong,axiom, % 166.23/166.20 ! [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] : % 166.23/166.20 ( 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)) % 166.23/166.20 => 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) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_order__refl,axiom, % 166.23/166.20 ! [V_x,T_a] : % 166.23/166.20 ( class_Orderings_Opreorder(T_a) % 166.23/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_equalityI,axiom, % 166.23/166.20 ! [V_B_2,V_A_2,T_b] : % 166.23/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.20 => V_A_2 = V_B_2 ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_subsetD,axiom, % 166.23/166.20 ! [V_c_2,V_B_2,V_A_2,T_b] : % 166.23/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.23/166.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_empty__subsetI,axiom, % 166.23/166.20 ! [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)) ). % 166.23/166.20 % 166.23/166.20 fof(fact_inj__on__empty,axiom, % 166.23/166.20 ! [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))) ). % 166.23/166.20 % 166.23/166.20 fof(fact_PowI,axiom, % 166.23/166.20 ! [V_B_2,V_A_2,T_b] : % 166.23/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.20 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_com_Osimps_I2_J,axiom, % 166.23/166.20 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] : % 166.23/166.20 ( 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) % 166.23/166.20 <=> ( V_loc_2 = V_loc_H_2 % 166.23/166.20 & V_fun_2 = V_fun_H_2 % 166.23/166.20 & V_com_2 = V_com_H_2 ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_equalityE,axiom, % 166.23/166.20 ! [T_b,V_B_2,V_A_2] : % 166.23/166.20 ( V_A_2 = V_B_2 % 166.23/166.20 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.20 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_subset__trans,axiom, % 166.23/166.20 ! [V_C_2,V_B_2,V_A_2,T_b] : % 166.23/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 166.23/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_subset__inj__on,axiom, % 166.23/166.20 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 166.23/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.20 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_predicate1D,axiom, % 166.23/166.20 ! [V_x_2,V_Qa_2,V_Pa_2,T_b] : % 166.23/166.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2)) % 166.23/166.20 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.23/166.20 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_equalityD2,axiom, % 166.23/166.20 ! [T_b,V_B_2,V_A_2] : % 166.23/166.20 ( V_A_2 = V_B_2 % 166.23/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_equalityD1,axiom, % 166.23/166.20 ! [T_b,V_B_2,V_A_2] : % 166.23/166.20 ( V_A_2 = V_B_2 % 166.23/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_rev__predicate1D,axiom, % 166.23/166.20 ! [V_Qa_2,T_b,V_x_2,V_Pa_2] : % 166.23/166.20 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2)) % 166.23/166.20 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_set__eq__subset,axiom, % 166.23/166.20 ! [T_b,V_B_2,V_A_2] : % 166.23/166.20 ( V_A_2 = V_B_2 % 166.23/166.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_inj__on__def,axiom, % 166.23/166.20 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.20 <=> ! [B_x] : % 166.23/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.20 => ! [B_xa] : % 166.23/166.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 166.23/166.20 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 166.23/166.20 => B_x = B_xa ) ) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_subset__refl,axiom, % 166.23/166.20 ! [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)) ). % 166.23/166.20 % 166.23/166.20 fof(fact_linorder__le__cases,axiom, % 166.23/166.20 ! [V_y,V_x,T_a] : % 166.23/166.20 ( class_Orderings_Olinorder(T_a) % 166.23/166.20 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_le__funE,axiom, % 166.23/166.20 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 166.23/166.20 ( class_Orderings_Oord(T_c) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 166.23/166.20 => 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))) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_xt1_I6_J,axiom, % 166.23/166.20 ! [V_z,V_x,V_y,T_a] : % 166.23/166.20 ( class_Orderings_Oorder(T_a) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 166.23/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_xt1_I5_J,axiom, % 166.23/166.20 ! [V_x,V_y,T_a] : % 166.23/166.20 ( class_Orderings_Oorder(T_a) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.20 => V_x = V_y ) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_order__trans,axiom, % 166.23/166.20 ! [V_z,V_y,V_x,T_a] : % 166.23/166.20 ( class_Orderings_Opreorder(T_a) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 166.23/166.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_order__antisym,axiom, % 166.23/166.20 ! [V_y,V_x,T_a] : % 166.23/166.20 ( class_Orderings_Oorder(T_a) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 166.23/166.20 => V_x = V_y ) ) ) ). % 166.23/166.20 % 166.23/166.20 fof(fact_xt1_I4_J,axiom, % 166.23/166.20 ! [V_c,V_a,V_b,T_a] : % 166.23/166.20 ( class_Orderings_Oorder(T_a) % 166.23/166.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 166.23/166.20 => ( V_b = V_c % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_ord__le__eq__trans,axiom, % 166.23/166.21 ! [V_c,V_b,V_a,T_a] : % 166.23/166.21 ( class_Orderings_Oord(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.21 => ( V_b = V_c % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_xt1_I3_J,axiom, % 166.23/166.21 ! [V_c,V_b,V_a,T_a] : % 166.23/166.21 ( class_Orderings_Oorder(T_a) % 166.23/166.21 => ( V_a = V_b % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_ord__eq__le__trans,axiom, % 166.23/166.21 ! [V_c,V_b,V_a,T_a] : % 166.23/166.21 ( class_Orderings_Oord(T_a) % 166.23/166.21 => ( V_a = V_b % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_order__antisym__conv,axiom, % 166.23/166.21 ! [V_x_2,V_y_2,T_b] : % 166.23/166.21 ( class_Orderings_Oorder(T_b) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.21 <=> V_x_2 = V_y_2 ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__funD,axiom, % 166.23/166.21 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 166.23/166.21 ( class_Orderings_Oord(T_c) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 166.23/166.21 => 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))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_order__eq__refl,axiom, % 166.23/166.21 ! [V_y,V_x,T_a] : % 166.23/166.21 ( class_Orderings_Opreorder(T_a) % 166.23/166.21 => ( V_x = V_y % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_order__eq__iff,axiom, % 166.23/166.21 ! [V_y_2,V_x_2,T_b] : % 166.23/166.21 ( class_Orderings_Oorder(T_b) % 166.23/166.21 => ( V_x_2 = V_y_2 % 166.23/166.21 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_linorder__linear,axiom, % 166.23/166.21 ! [V_y,V_x,T_a] : % 166.23/166.21 ( class_Orderings_Olinorder(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.21 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__fun__def,axiom, % 166.23/166.21 ! [V_g_2,V_f_2,T_b,T_c] : % 166.23/166.21 ( class_Orderings_Oord(T_c) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 166.23/166.21 <=> ! [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))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_nat__size,axiom, % 166.23/166.21 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__on__id2,axiom, % 166.23/166.21 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Pow__mono,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Powp__mono,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__onD,axiom, % 166.23/166.21 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.21 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 166.23/166.21 => V_x_2 = V_y_2 ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__on__iff,axiom, % 166.23/166.21 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 166.23/166.21 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 166.23/166.21 <=> V_x_2 = V_y_2 ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__on__contraD,axiom, % 166.23/166.21 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.21 => ( V_x_2 != V_y_2 % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 166.23/166.21 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__Suc,axiom, % 166.23/166.21 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__on__imageI2,axiom, % 166.23/166.21 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] : % 166.23/166.21 ( 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) % 166.23/166.21 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_set__mp,axiom, % 166.23/166.21 ! [V_x_2,V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_set__rev__mp,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_x_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_in__mono,axiom, % 166.23/166.21 ! [V_x_2,V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__le__cancel__right,axiom, % 166.23/166.21 ! [V_b_2,V_c_2,V_a_2,T_b] : % 166.23/166.21 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 166.23/166.21 => ( 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))) % 166.23/166.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__le__cancel__left,axiom, % 166.23/166.21 ! [V_b_2,V_a_2,V_c_2,T_b] : % 166.23/166.21 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 166.23/166.21 => ( 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))) % 166.23/166.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__right__mono,axiom, % 166.23/166.21 ! [V_c,V_b,V_a,T_a] : % 166.23/166.21 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.21 => 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))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__left__mono,axiom, % 166.23/166.21 ! [V_c,V_b,V_a,T_a] : % 166.23/166.21 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.21 => 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))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__mono,axiom, % 166.23/166.21 ! [V_d,V_c,V_b,V_a,T_a] : % 166.23/166.21 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 166.23/166.21 => 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))) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__le__imp__le__right,axiom, % 166.23/166.21 ! [V_b,V_c,V_a,T_a] : % 166.23/166.21 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 166.23/166.21 => ( 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))) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__le__imp__le__left,axiom, % 166.23/166.21 ! [V_b,V_a,V_c,T_a] : % 166.23/166.21 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 166.23/166.21 => ( 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))) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_bot__least,axiom, % 166.23/166.21 ! [V_x,T_a] : % 166.23/166.21 ( class_Orderings_Obot(T_a) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_subset__empty,axiom, % 166.23/166.21 ! [V_A_2,T_b] : % 166.23/166.21 ( 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)))) % 166.23/166.21 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__supE,axiom, % 166.23/166.21 ! [V_x,V_b,V_a,T_a] : % 166.23/166.21 ( class_Lattices_Osemilattice__sup(T_a) % 166.23/166.21 => ( 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)) % 166.23/166.21 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 166.23/166.21 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_sup__mono,axiom, % 166.23/166.21 ! [V_d,V_b,V_c,V_a,T_a] : % 166.23/166.21 ( class_Lattices_Osemilattice__sup(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 166.23/166.21 => 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))) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_sup__least,axiom, % 166.23/166.21 ! [V_z,V_x,V_y,T_a] : % 166.23/166.21 ( class_Lattices_Osemilattice__sup(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 166.23/166.21 => 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)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__supI,axiom, % 166.23/166.21 ! [V_b,V_x,V_a,T_a] : % 166.23/166.21 ( class_Lattices_Osemilattice__sup(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 166.23/166.21 => 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)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_sup__absorb1,axiom, % 166.23/166.21 ! [V_x,V_y,T_a] : % 166.23/166.21 ( class_Lattices_Osemilattice__sup(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 166.23/166.21 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_sup__absorb2,axiom, % 166.23/166.21 ! [V_y,V_x,T_a] : % 166.23/166.21 ( class_Lattices_Osemilattice__sup(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.21 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__supI2,axiom, % 166.23/166.21 ! [V_a,V_b,V_x,T_a] : % 166.23/166.21 ( class_Lattices_Osemilattice__sup(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 166.23/166.21 => 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))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__supI1,axiom, % 166.23/166.21 ! [V_b,V_a,V_x,T_a] : % 166.23/166.21 ( class_Lattices_Osemilattice__sup(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 166.23/166.21 => 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))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__sup__iff,axiom, % 166.23/166.21 ! [V_z_2,V_y_2,V_x_2,T_b] : % 166.23/166.21 ( class_Lattices_Osemilattice__sup(T_b) % 166.23/166.21 => ( 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)) % 166.23/166.21 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 166.23/166.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__iff__sup,axiom, % 166.23/166.21 ! [V_y_2,V_x_2,T_b] : % 166.23/166.21 ( class_Lattices_Osemilattice__sup(T_b) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.21 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_sup__ge2,axiom, % 166.23/166.21 ! [V_x,V_y,T_a] : % 166.23/166.21 ( class_Lattices_Osemilattice__sup(T_a) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inf__sup__ord_I4_J,axiom, % 166.23/166.21 ! [V_x,V_y,T_a] : % 166.23/166.21 ( class_Lattices_Olattice(T_a) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_sup__ge1,axiom, % 166.23/166.21 ! [V_y,V_x,T_a] : % 166.23/166.21 ( class_Lattices_Osemilattice__sup(T_a) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inf__sup__ord_I3_J,axiom, % 166.23/166.21 ! [V_y,V_x,T_a] : % 166.23/166.21 ( class_Lattices_Olattice(T_a) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_insert__mono,axiom, % 166.23/166.21 ! [V_a_2,V_D_2,V_C_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_subset__insertI2,axiom, % 166.23/166.21 ! [V_b_2,V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_subset__insertI,axiom, % 166.23/166.21 ! [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))) ). % 166.23/166.21 % 166.23/166.21 fof(fact_image__mono,axiom, % 166.23/166.21 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_subset__image__iff,axiom, % 166.23/166.21 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 166.23/166.21 ( 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))) % 166.23/166.21 <=> ? [B_AA] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2)) % 166.23/166.21 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_nat_Osize_I3_J,axiom, % 166.23/166.21 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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Un__mono,axiom, % 166.23/166.21 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 166.23/166.21 => 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))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Un__least,axiom, % 166.23/166.21 ! [V_B_2,V_C_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 166.23/166.21 => 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)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Un__absorb2,axiom, % 166.23/166.21 ! [V_A_2,V_B_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.21 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Un__absorb1,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_subset__Un__eq,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Un__upper2,axiom, % 166.23/166.21 ! [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))) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Un__upper1,axiom, % 166.23/166.21 ! [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))) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__on__add__nat,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_nat_Osize_I1_J,axiom, % 166.23/166.21 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.23/166.21 % 166.23/166.21 fof(fact_com_Osimps_I40_J,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_com_Osimps_I41_J,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_pred__subset__eq,axiom, % 166.23/166.21 ! [V_S_2,V_R_2,T_b] : % 166.23/166.21 ( 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))) % 166.23/166.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_com_Osimps_I38_J,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_com_Osimps_I39_J,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_the__inv__into__into,axiom, % 166.23/166.21 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 => 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)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_com_Osimps_I36_J,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_com_Osimps_I37_J,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_com_Osimps_I34_J,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_com_Osimps_I35_J,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_com_Osimps_I11_J,axiom, % 166.23/166.21 ! [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 ). % 166.23/166.21 % 166.23/166.21 fof(fact_com_Osimps_I10_J,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Least__le,axiom, % 166.23/166.21 ! [V_k_2,V_Pa_2,T_b] : % 166.23/166.21 ( class_Orderings_Owellorder(T_b) % 166.23/166.21 => ( hBOOL(hAPP(V_Pa_2,V_k_2)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Orderings_Oord__class_OLeast(T_b,V_Pa_2)),V_k_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_image__Pow__mono,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( 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)) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__on__Un__image__eq__iff,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( 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)) % 166.23/166.21 => ( 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) % 166.23/166.21 <=> V_A_2 = V_B_2 ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_comp__inj__on__iff,axiom, % 166.23/166.21 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.21 => ( 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)) % 166.23/166.21 <=> 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) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_comp__inj__on,axiom, % 166.23/166.21 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.21 => ( 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)) % 166.23/166.21 => 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) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__on__imageI,axiom, % 166.23/166.21 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] : % 166.23/166.21 ( 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) % 166.23/166.21 => 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)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 166.23/166.21 ! [V_a_2,T_b] : % 166.23/166.21 ( class_Groups_Olinordered__ab__group__add(T_b) % 166.23/166.21 => ( 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))) % 166.23/166.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 166.23/166.21 ! [V_a_2,T_b] : % 166.23/166.21 ( class_Groups_Olinordered__ab__group__add(T_b) % 166.23/166.21 => ( 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))) % 166.23/166.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__nonneg__nonneg,axiom, % 166.23/166.21 ! [V_b,V_a,T_a] : % 166.23/166.21 ( class_Groups_Oordered__comm__monoid__add(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.21 => 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))) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__nonneg__eq__0__iff,axiom, % 166.23/166.21 ! [V_y_2,V_x_2,T_b] : % 166.23/166.21 ( class_Groups_Oordered__comm__monoid__add(T_b) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2)) % 166.23/166.21 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.21 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.21 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__increasing,axiom, % 166.23/166.21 ! [V_c,V_b,V_a,T_a] : % 166.23/166.21 ( class_Groups_Oordered__comm__monoid__add(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 166.23/166.21 => 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))) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__increasing2,axiom, % 166.23/166.21 ! [V_a,V_b,V_c,T_a] : % 166.23/166.21 ( class_Groups_Oordered__comm__monoid__add(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 166.23/166.21 => 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))) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__nonpos__nonpos,axiom, % 166.23/166.21 ! [V_b,V_a,T_a] : % 166.23/166.21 ( class_Groups_Oordered__comm__monoid__add(T_a) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.21 => 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))) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_subset__insert,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_x_2,T_b] : % 166.23/166.21 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => ( 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))) % 166.23/166.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_insert__subset,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_x_2,T_b] : % 166.23/166.21 ( 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)) % 166.23/166.21 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 166.23/166.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_the__inv__into__f__eq,axiom, % 166.23/166.21 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.21 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_the__inv__into__f__f,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => 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 ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_subset__singletonD,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,T_b] : % 166.23/166.21 ( 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))))) % 166.23/166.21 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 | 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))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__on__the__inv__into,axiom, % 166.23/166.21 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.21 => 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)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_the__inv__into__onto,axiom, % 166.23/166.21 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.21 => 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 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_PowD,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Pow__iff,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 166.23/166.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Ints__0,axiom, % 166.23/166.21 ! [T_b] : % 166.23/166.21 ( class_Rings_Oring__1(T_b) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Ints__add,axiom, % 166.23/166.21 ! [V_b_2,V_a_2,T_b] : % 166.23/166.21 ( class_Rings_Oring__1(T_b) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 166.23/166.21 => 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))) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_f__the__inv__into__f,axiom, % 166.23/166.21 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 166.23/166.21 => 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 ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__imageI,axiom, % 166.23/166.21 ! [V_h_2,T_c,V_F_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 166.23/166.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite_OinsertI,axiom, % 166.23/166.21 ! [V_a_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite_OemptyI,axiom, % 166.23/166.21 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__surj__inj,axiom, % 166.23/166.21 ! [V_f_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( 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))) % 166.23/166.21 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_endo__inj__surj,axiom, % 166.23/166.21 ! [V_f_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( 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)) % 166.23/166.21 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) % 166.23/166.21 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__on__iff__surj,axiom, % 166.23/166.21 ! [V_A_H_2,T_c,T_b,V_A_2] : % 166.23/166.21 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 => ( ? [B_f] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 166.23/166.21 & 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)) ) % 166.23/166.21 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__imageD,axiom, % 166.23/166.21 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 166.23/166.21 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) % 166.23/166.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__surj,axiom, % 166.23/166.21 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( 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))) % 166.23/166.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__Pow__iff,axiom, % 166.23/166.21 ! [V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2))) % 166.23/166.21 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__UnI,axiom, % 166.23/166.21 ! [V_Ga_2,V_F_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) % 166.23/166.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le0,axiom, % 166.23/166.21 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__0__eq,axiom, % 166.23/166.21 ! [V_n_2] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 166.23/166.21 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 166.23/166.21 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Suc__leD,axiom, % 166.23/166.21 ! [V_n,V_m] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__SucE,axiom, % 166.23/166.21 ! [V_n,V_m] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 166.23/166.21 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 166.23/166.21 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__SucI,axiom, % 166.23/166.21 ! [V_n,V_m] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Suc__le__mono,axiom, % 166.23/166.21 ! [V_m_2,V_n_2] : % 166.23/166.21 ( 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))) % 166.23/166.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__Suc__eq,axiom, % 166.23/166.21 ! [V_n_2,V_m_2] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 166.23/166.21 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.21 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_not__less__eq__eq,axiom, % 166.23/166.21 ! [V_n_2,V_m_2] : % 166.23/166.21 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Suc__n__not__le__n,axiom, % 166.23/166.21 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__add2,axiom, % 166.23/166.21 ! [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))) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__add1,axiom, % 166.23/166.21 ! [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))) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__iff__add,axiom, % 166.23/166.21 ! [V_n_2,V_m_2] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.21 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_nat__add__left__cancel__le,axiom, % 166.23/166.21 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.21 ( 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))) % 166.23/166.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_trans__le__add1,axiom, % 166.23/166.21 ! [V_m,V_j,V_i] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_trans__le__add2,axiom, % 166.23/166.21 ! [V_m,V_j,V_i] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__le__mono1,axiom, % 166.23/166.21 ! [V_k,V_j,V_i] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__le__mono,axiom, % 166.23/166.21 ! [V_l,V_k,V_j,V_i] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 166.23/166.21 => 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))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__leD2,axiom, % 166.23/166.21 ! [V_n,V_k,V_m] : % 166.23/166.21 ( 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)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__leD1,axiom, % 166.23/166.21 ! [V_n,V_k,V_m] : % 166.23/166.21 ( 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)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__leE,axiom, % 166.23/166.21 ! [V_n,V_k,V_m] : % 166.23/166.21 ( 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)) % 166.23/166.21 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 166.23/166.21 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_termination__basic__simps_I4_J,axiom, % 166.23/166.21 ! [V_y,V_z,V_x] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_termination__basic__simps_I3_J,axiom, % 166.23/166.21 ! [V_z,V_y,V_x] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_evaln__nonstrict,axiom, % 166.23/166.21 ! [V_m,V_t,V_n,V_s,V_c] : % 166.23/166.21 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 166.23/166.21 => c_Natural_Oevaln(V_c,V_s,V_m,V_t) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_thin,axiom, % 166.23/166.21 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] : % 166.23/166.21 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_G_H_2),V_Ga_2)) % 166.23/166.21 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_weaken,axiom, % 166.23/166.21 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_b] : % 166.23/166.21 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_ts_H_2)) % 166.23/166.21 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_asm,axiom, % 166.23/166.21 ! [V_Ga_2,V_ts_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_Ga_2)) % 166.23/166.21 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__code,axiom, % 166.23/166.21 ! [V_A_2,T_b] : % 166.23/166.21 ( class_Finite__Set_Ofinite(T_b) % 166.23/166.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite,axiom, % 166.23/166.21 ! [V_A_2,T_b] : % 166.23/166.21 ( class_Finite__Set_Ofinite(T_b) % 166.23/166.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite_Oequations_I1_J,axiom, % 166.23/166.21 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__insert,axiom, % 166.23/166.21 ! [V_A_2,V_a_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) % 166.23/166.21 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__subset,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_rev__finite__subset,axiom, % 166.23/166.21 ! [V_A_2,V_B_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__Un,axiom, % 166.23/166.21 ! [V_Ga_2,V_F_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) % 166.23/166.21 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 166.23/166.21 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__image_Oreindex,axiom, % 166.23/166.21 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.21 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2) % 166.23/166.21 => 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) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__one_Oinsert,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 => 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)) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__idem_Ounion__idem,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.21 => 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)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.21 => 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) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__idem_Oinsert__idem,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => 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)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__idem_Oin__comp__idem,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => 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) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__one__idem_Ounion__idem,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.21 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 => 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)) ) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Least__mono,axiom, % 166.23/166.21 ! [V_S_2,V_f_2,T_b,T_c] : % 166.23/166.21 ( ( class_Orderings_Oorder(T_c) % 166.23/166.21 & class_Orderings_Oorder(T_b) ) % 166.23/166.21 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 166.23/166.21 => ( ? [B_x] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 166.23/166.21 & ! [B_xa] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_S_2)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) % 166.23/166.21 => 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))) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__subset__induct,axiom, % 166.23/166.21 ! [V_Pa_2,V_A_2,V_F_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 166.23/166.21 => ( ! [B_a,B_F] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 166.23/166.21 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F)) % 166.23/166.21 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 166.23/166.21 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) ) % 166.23/166.21 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__one__idem_Osubset__idem,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.21 => 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) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__antisym,axiom, % 166.23/166.21 ! [V_n,V_m] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 166.23/166.21 => V_m = V_n ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__trans,axiom, % 166.23/166.21 ! [V_k,V_j,V_i] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_eq__imp__le,axiom, % 166.23/166.21 ! [V_n,V_m] : % 166.23/166.21 ( V_m = V_n % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_nat__le__linear,axiom, % 166.23/166.21 ! [V_n,V_m] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 166.23/166.21 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__refl,axiom, % 166.23/166.21 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__one__idem_Oidem,axiom, % 166.23/166.21 ! [V_x_2,V_F_2,V_f_2,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 166.23/166.21 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_monoD,axiom, % 166.23/166.21 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : % 166.23/166.21 ( ( class_Orderings_Oorder(T_c) % 166.23/166.21 & class_Orderings_Oorder(T_b) ) % 166.23/166.21 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.21 => 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))) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_mono__Suc,axiom, % 166.23/166.21 c_Orderings_Oorder__class_Omono(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc) ). % 166.23/166.21 % 166.23/166.21 fof(fact_mono__Un,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2) % 166.23/166.21 => 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)))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__idem_Oidem__comp,axiom, % 166.23/166.21 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => 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) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__idem_Oidem__left__comp,axiom, % 166.23/166.21 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => 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) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_mono__iff__le__Suc,axiom, % 166.23/166.21 ! [V_f_2,T_b] : % 166.23/166.21 ( class_Orderings_Oorder(T_b) % 166.23/166.21 => ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat,T_b,V_f_2) % 166.23/166.21 <=> ! [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)))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_mono__sup,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 166.23/166.21 ( ( class_Lattices_Osemilattice__sup(T_c) % 166.23/166.21 & class_Lattices_Osemilattice__sup(T_b) ) % 166.23/166.21 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 166.23/166.21 => 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)))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__image_Odistrib,axiom, % 166.23/166.21 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.21 => 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)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__one_Osingleton,axiom, % 166.23/166.21 ! [V_x_2,V_F_2,V_f_2,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 166.23/166.21 => 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 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__one__idem_Oin__idem,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 => 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)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__one_Oclosed,axiom, % 166.23/166.21 ! [V_A_2,V_F_2,V_f_2,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 => ( ! [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)))))) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding_Oinsert,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => 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)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_image__eq__fold__image,axiom, % 166.23/166.21 ! [V_f_2,T_c,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => 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) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Sup__fin_Oinsert,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,T_b] : % 166.23/166.21 ( class_Lattices_Olattice(T_b) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 => 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)) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__one__idem_Ohom__commute,axiom, % 166.23/166.21 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 166.23/166.21 => ( ! [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)) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 166.23/166.21 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 => 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)) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__image__simple_Oinsert,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.21 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 166.23/166.21 => 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)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 166.23/166.21 ! [V_n_2,V_m_2] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 166.23/166.21 <=> 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)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__one_Oremove,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => ( ( hAPP(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)) % 166.23/166.21 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 166.23/166.21 & ( hAPP(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)) % 166.23/166.21 => 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)))))) ) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 166.23/166.21 => 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)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.21 => 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) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_DiffI,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_c_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.23/166.21 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 166.23/166.21 => 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))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_DiffE,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_c_2,T_b] : % 166.23/166.21 ( 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))) % 166.23/166.21 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__Diff,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_fun__diff__def,axiom, % 166.23/166.21 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 166.23/166.21 ( class_Groups_Ominus(T_b) % 166.23/166.21 => 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)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Diff__idemp,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_minus__apply,axiom, % 166.23/166.21 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 166.23/166.21 ( class_Groups_Ominus(T_b) % 166.23/166.21 => 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)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_diff__eq__diff__eq,axiom, % 166.23/166.21 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.21 ( class_Groups_Oab__group__add(T_b) % 166.23/166.21 => ( 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) % 166.23/166.21 => ( V_a_2 = V_b_2 % 166.23/166.21 <=> V_c_2 = V_d_2 ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__image__simple__idem_Oidem,axiom, % 166.23/166.21 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.23/166.21 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 166.23/166.21 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.21 => 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) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_diff__eq__diff__less__eq,axiom, % 166.23/166.21 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.21 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.21 => ( 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) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 166.23/166.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_right__minus__eq,axiom, % 166.23/166.21 ! [V_b_2,V_a_2,T_b] : % 166.23/166.21 ( class_Groups_Ogroup__add(T_b) % 166.23/166.21 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.21 <=> V_a_2 = V_b_2 ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_eq__iff__diff__eq__0,axiom, % 166.23/166.21 ! [V_b_2,V_a_2,T_b] : % 166.23/166.21 ( class_Groups_Oab__group__add(T_b) % 166.23/166.21 => ( V_a_2 = V_b_2 % 166.23/166.21 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_diff__self,axiom, % 166.23/166.21 ! [V_a,T_a] : % 166.23/166.21 ( class_Groups_Ogroup__add(T_a) % 166.23/166.21 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_diff__0__right,axiom, % 166.23/166.21 ! [V_a,T_a] : % 166.23/166.21 ( class_Groups_Ogroup__add(T_a) % 166.23/166.21 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_add__diff__cancel,axiom, % 166.23/166.21 ! [V_b,V_a,T_a] : % 166.23/166.21 ( class_Groups_Ogroup__add(T_a) % 166.23/166.21 => 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 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_diff__add__cancel,axiom, % 166.23/166.21 ! [V_b,V_a,T_a] : % 166.23/166.21 ( class_Groups_Ogroup__add(T_a) % 166.23/166.21 => 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 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Diff__iff,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_c_2,T_b] : % 166.23/166.21 ( 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))) % 166.23/166.21 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.23/166.21 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_DiffD1,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_c_2,T_b] : % 166.23/166.21 ( 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))) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_DiffD2,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_c_2,T_b] : % 166.23/166.21 ( 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))) % 166.23/166.21 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_empty__Diff,axiom, % 166.23/166.21 ! [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)) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Diff__empty,axiom, % 166.23/166.21 ! [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 ). % 166.23/166.21 % 166.23/166.21 fof(fact_Diff__cancel,axiom, % 166.23/166.21 ! [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)) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__Diff2,axiom, % 166.23/166.21 ! [V_A_2,V_B_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.21 => ( 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))) % 166.23/166.21 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Diff__subset,axiom, % 166.23/166.21 ! [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)) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Diff__mono,axiom, % 166.23/166.21 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2)) % 166.23/166.21 => 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))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_double__diff,axiom, % 166.23/166.21 ! [V_C_2,V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 166.23/166.21 => 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 ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Un__Diff__cancel,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Un__Diff__cancel2,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Un__Diff,axiom, % 166.23/166.21 ! [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)) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__on__diff,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.21 => 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)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_fold__image__empty,axiom, % 166.23/166.21 ! [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 ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding_Ocommute__left__comp,axiom, % 166.23/166.21 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => 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)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding_Ocommute__comp,axiom, % 166.23/166.21 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => 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)) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 166.23/166.21 ! [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] : % 166.23/166.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2) % 166.23/166.21 => 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) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.21 => 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)))))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_le__iff__diff__le__0,axiom, % 166.23/166.21 ! [V_b_2,V_a_2,T_b] : % 166.23/166.21 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 166.23/166.21 <=> 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))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_insert__Diff__if,axiom, % 166.23/166.21 ! [V_A_2,V_B_2,V_x_2,T_b] : % 166.23/166.21 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 166.23/166.21 => 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) ) % 166.23/166.21 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 166.23/166.21 => 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)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_insert__Diff1,axiom, % 166.23/166.21 ! [V_A_2,V_B_2,V_x_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 166.23/166.21 => 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) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Sup__fin_Oinsert__remove,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,T_b] : % 166.23/166.21 ( class_Lattices_Olattice(T_b) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( ( hAPP(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)) % 166.23/166.21 => 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 ) % 166.23/166.21 & ( hAPP(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)) % 166.23/166.21 => 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)))))) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Diff__insert,axiom, % 166.23/166.21 ! [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)))) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Diff__insert2,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_insert__Diff__single,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_finite__Diff__insert,axiom, % 166.23/166.21 ! [V_B_2,V_a_2,V_A_2,T_b] : % 166.23/166.21 ( 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)))) % 166.23/166.21 <=> 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_image__diff__subset,axiom, % 166.23/166.21 ! [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)))) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Diff__partition,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.21 => 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 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Diff__subset__conv,axiom, % 166.23/166.21 ! [V_C_2,V_B_2,V_A_2,T_b] : % 166.23/166.21 ( 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)) % 166.23/166.21 <=> 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))) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Ints__diff,axiom, % 166.23/166.21 ! [V_b_2,V_a_2,T_b] : % 166.23/166.21 ( class_Rings_Oring__1(T_b) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 166.23/166.21 => 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))) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__image__simple_Oempty,axiom, % 166.23/166.21 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.23/166.21 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding_Oinsert__remove,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => 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)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__image__simple_Oremove,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 166.23/166.21 => 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)))))) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Sup__fin_Osingleton,axiom, % 166.23/166.21 ! [V_x_2,T_b] : % 166.23/166.21 ( class_Lattices_Olattice(T_b) % 166.23/166.21 => 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 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Sup__fin_Oremove,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,T_b] : % 166.23/166.21 ( class_Lattices_Olattice(T_b) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => ( ( hAPP(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)) % 166.23/166.21 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 ) % 166.23/166.21 & ( hAPP(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)) % 166.23/166.21 => 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)))))) ) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_nat__case__0,axiom, % 166.23/166.21 ! [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 ). % 166.23/166.21 % 166.23/166.21 fof(fact_nat__case__Suc,axiom, % 166.23/166.21 ! [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) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__image_Oeq__fold,axiom, % 166.23/166.21 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.21 => 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) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding_Oremove,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => 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)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Diff__insert__absorb,axiom, % 166.23/166.21 ! [V_A_2,V_x_2,T_b] : % 166.23/166.21 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => 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 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_insert__Diff,axiom, % 166.23/166.21 ! [V_A_2,V_a_2,T_b] : % 166.23/166.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.21 => 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 ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__on__image__set__diff,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 166.23/166.21 => 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)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 166.23/166.21 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.21 => 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)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding_Ocommute__comp_H_H,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.21 => 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)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding_Ocommute__left__comp_H,axiom, % 166.23/166.21 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => 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)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding_Ocommute__comp_H,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => 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)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Sup__fin_Oin__idem,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,T_b] : % 166.23/166.21 ( class_Lattices_Olattice(T_b) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => 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) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_subset__insert__iff,axiom, % 166.23/166.21 ! [V_B_2,V_x_2,V_A_2,T_b] : % 166.23/166.21 ( 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))) % 166.23/166.21 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => 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)) ) % 166.23/166.21 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_diff__single__insert,axiom, % 166.23/166.21 ! [V_B_2,V_x_2,V_A_2,T_b] : % 166.23/166.21 ( 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)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.21 => 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))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__one_Oinsert__remove,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( ( hAPP(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)) % 166.23/166.21 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 166.23/166.21 & ( hAPP(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)) % 166.23/166.21 => 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)))))) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Sup__fin_Oinsert__idem,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,T_b] : % 166.23/166.21 ( class_Lattices_Olattice(T_b) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 => 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)) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Sup__fin_Osubset__idem,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,T_b] : % 166.23/166.21 ( class_Lattices_Olattice(T_b) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.21 => 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) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_Sup__fin_Ounion__idem,axiom, % 166.23/166.21 ! [V_B_2,V_A_2,T_b] : % 166.23/166.21 ( class_Lattices_Olattice(T_b) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.21 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.21 => 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)) ) ) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 166.23/166.21 => 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) ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_inj__on__insert,axiom, % 166.23/166.21 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) % 166.23/166.21 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.21 & ~ 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))))))) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 166.23/166.21 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.23/166.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.21 => 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)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_coinduct3__mono__lemma,axiom, % 166.23/166.21 ! [V_B_2,V_X_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( class_Orderings_Oorder(T_b) % 166.23/166.21 => ( c_Orderings_Oorder__class_Omono(T_b,tc_fun(T_c,tc_HOL_Obool),V_f_2) % 166.23/166.21 => 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)) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_comm__monoid__big_OF__eq,axiom, % 166.23/166.21 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.21 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 166.23/166.21 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.21 => 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) ) % 166.23/166.21 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.21 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 166.23/166.21 % 166.23/166.21 fof(fact_flat__lub__def,axiom, % 166.23/166.21 ! [V_b_2,V_A_2,T_b] : % 166.23/166.21 ( ( 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))))) % 166.23/166.22 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 ) % 166.23/166.22 & ( ~ 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))))) % 166.23/166.22 => 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)))))) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Sup__fin_Oclosed,axiom, % 166.23/166.22 ! [V_A_2,T_b] : % 166.23/166.22 ( class_Lattices_Olattice(T_b) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.22 => ( ! [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)))))) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__upd__image,axiom, % 166.23/166.22 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 166.23/166.22 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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)))))) ) % 166.23/166.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Sup__fin_Ohom__commute,axiom, % 166.23/166.22 ! [V_N_2,V_h_2,T_b] : % 166.23/166.22 ( class_Lattices_Olattice(T_b) % 166.23/166.22 => ( ! [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)) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 166.23/166.22 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.22 => 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)) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_finite__empty__induct,axiom, % 166.23/166.22 ! [V_Pa_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(V_Pa_2,V_A_2)) % 166.23/166.22 => ( ! [B_a,B_A] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) % 166.23/166.22 => ( hBOOL(hAPP(V_Pa_2,B_A)) % 166.23/166.22 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) % 166.23/166.22 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__Suc__Diff1,axiom, % 166.23/166.22 ! [V_x_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__left__comm__idem__remove,axiom, % 166.23/166.22 ! [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))))) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__diff1__ring,axiom, % 166.23/166.22 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 166.23/166.22 ( class_Rings_Oring(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.22 => 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)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__upd__triv,axiom, % 166.23/166.22 ! [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 ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 166.23/166.22 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] : % 166.23/166.22 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__commute,axiom, % 166.23/166.22 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__upd__idem,axiom, % 166.23/166.22 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 166.23/166.22 ( hAPP(V_f_2,V_x_2) = V_y_2 % 166.23/166.22 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__upd__other,axiom, % 166.23/166.22 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 166.23/166.22 ( V_z_2 != V_x_2 % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__upd__twist,axiom, % 166.23/166.22 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] : % 166.23/166.22 ( V_a_2 != V_c_2 % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__upd__apply,axiom, % 166.23/166.22 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 166.23/166.22 ( ( V_z_2 = V_x_2 % 166.23/166.22 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 ) % 166.23/166.22 & ( V_z_2 != V_x_2 % 166.23/166.22 => 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__upd__same,axiom, % 166.23/166.22 ! [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 ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__upd__upd,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__upd__idem__iff,axiom, % 166.23/166.22 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 166.23/166.22 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2 % 166.23/166.22 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__upd__def,axiom, % 166.23/166.22 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] : % 166.23/166.22 ( ( V_x_2 = V_a_2 % 166.23/166.22 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 ) % 166.23/166.22 & ( V_x_2 != V_a_2 % 166.23/166.22 => 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 166.23/166.22 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 166.23/166.22 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__0__eq__0,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_minus__nat_Odiff__0,axiom, % 166.23/166.22 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__self__eq__0,axiom, % 166.23/166.22 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diffs0__imp__equal,axiom, % 166.23/166.22 ! [V_n,V_m] : % 166.23/166.22 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.22 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.22 => V_m = V_n ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__Suc__Suc,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Suc__diff__diff,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__cancel2,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__cancel,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__diff__left,axiom, % 166.23/166.22 ! [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)) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__add__inverse,axiom, % 166.23/166.22 ! [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 ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__add__inverse2,axiom, % 166.23/166.22 ! [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 ). % 166.23/166.22 % 166.23/166.22 fof(fact_le__diff__iff,axiom, % 166.23/166.22 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 166.23/166.22 => ( 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))) % 166.23/166.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Nat_Odiff__diff__eq,axiom, % 166.23/166.22 ! [V_n,V_m,V_k] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 166.23/166.22 => 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_eq__diff__iff,axiom, % 166.23/166.22 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 166.23/166.22 => ( 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) % 166.23/166.22 <=> V_m_2 = V_n_2 ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__diff__cancel,axiom, % 166.23/166.22 ! [V_n,V_i] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 166.23/166.22 => 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 ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__le__mono,axiom, % 166.23/166.22 ! [V_l,V_n,V_m] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 166.23/166.22 => 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))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__le__mono2,axiom, % 166.23/166.22 ! [V_l,V_n,V_m] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 166.23/166.22 => 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))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__le__self,axiom, % 166.23/166.22 ! [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)) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__0,axiom, % 166.23/166.22 ! [V_A_2,T_c,T_b] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__addf,axiom, % 166.23/166.22 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__subtractf,axiom, % 166.23/166.22 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 166.23/166.22 ( class_Groups_Oab__group__add(T_b) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__diff__nat,axiom, % 166.23/166.22 ! [V_f_2,V_A_2,V_B_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__Diff__subset,axiom, % 166.23/166.22 ! [V_A_2,V_B_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__card__le__card__Diff,axiom, % 166.23/166.22 ! [V_A_2,V_B_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.22 => 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)))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__Suc,axiom, % 166.23/166.22 ! [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)) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__upd__comp,axiom, % 166.23/166.22 ! [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)) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__diff1__nat,axiom, % 166.23/166.22 ! [V_f_2,V_A_2,V_a_2,T_b] : % 166.23/166.22 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.22 => 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)) ) % 166.23/166.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.22 => 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__empty,axiom, % 166.23/166.22 ! [V_f_2,T_c,T_b] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum_Oempty,axiom, % 166.23/166.22 ! [V_g_2,T_c,T_b] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum_Oinfinite,axiom, % 166.23/166.22 ! [V_g_2,V_A_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__infinite,axiom, % 166.23/166.22 ! [V_f_2,V_A_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__eq__0__iff,axiom, % 166.23/166.22 ! [V_f_2,V_F_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 166.23/166.22 => ( 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) % 166.23/166.22 <=> ! [B_x] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 166.23/166.22 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__left__comm__idem__insert,axiom, % 166.23/166.22 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card_Oempty,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__infinite,axiom, % 166.23/166.22 ! [V_A_2,T_b] : % 166.23/166.22 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__left__comm__idem__sup,axiom, % 166.23/166.22 ! [T_b] : % 166.23/166.22 ( class_Lattices_Osemilattice__sup(T_b) % 166.23/166.22 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__image,axiom, % 166.23/166.22 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 166.23/166.22 ! [V_x_2,V_f_2,T_c,T_b] : % 166.23/166.22 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__add__0,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__is__0__eq,axiom, % 166.23/166.22 ! [V_n_2,V_m_2] : % 166.23/166.22 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__is__0__eq_H,axiom, % 166.23/166.22 ! [V_n,V_m] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 166.23/166.22 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Suc__diff__le,axiom, % 166.23/166.22 ! [V_m,V_n] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__add__assoc2,axiom, % 166.23/166.22 ! [V_i,V_j,V_k] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_add__diff__assoc2,axiom, % 166.23/166.22 ! [V_i,V_j,V_k] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__add__assoc,axiom, % 166.23/166.22 ! [V_i,V_j,V_k] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_le__imp__diff__is__add,axiom, % 166.23/166.22 ! [V_k_2,V_j_2,V_i_2] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 166.23/166.22 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 166.23/166.22 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_le__add__diff__inverse2,axiom, % 166.23/166.22 ! [V_m,V_n] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 166.23/166.22 => 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 ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_le__diff__conv2,axiom, % 166.23/166.22 ! [V_i_2,V_j_2,V_k_2] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 166.23/166.22 => ( 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))) % 166.23/166.22 <=> 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_add__diff__assoc,axiom, % 166.23/166.22 ! [V_i,V_j,V_k] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_le__add__diff__inverse,axiom, % 166.23/166.22 ! [V_m,V_n] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 166.23/166.22 => 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 ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_le__add__diff,axiom, % 166.23/166.22 ! [V_m,V_n,V_k] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 166.23/166.22 => 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))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_le__diff__conv,axiom, % 166.23/166.22 ! [V_i_2,V_k_2,V_j_2] : % 166.23/166.22 ( 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)) % 166.23/166.22 <=> 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))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__diff__right,axiom, % 166.23/166.22 ! [V_i,V_j,V_k] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum_Odistrib,axiom, % 166.23/166.22 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__eq__Suc0__iff,axiom, % 166.23/166.22 ! [V_f_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( 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)) % 166.23/166.22 <=> ? [B_x] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.22 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 166.23/166.22 & ! [B_xa] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 166.23/166.22 => ( B_x != B_xa % 166.23/166.22 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__reindex,axiom, % 166.23/166.22 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_d) % 166.23/166.22 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 166.23/166.22 => 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__eq__0__iff,axiom, % 166.23/166.22 ! [V_A_2,T_b] : % 166.23/166.22 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.22 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.22 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__insert__le,axiom, % 166.23/166.22 ! [V_x_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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)))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__mono,axiom, % 166.23/166.22 ! [V_A_2,V_B_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.22 => 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))) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__seteq,axiom, % 166.23/166.22 ! [V_A_2,V_B_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.22 => ( 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))) % 166.23/166.22 => V_A_2 = V_B_2 ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__image__le,axiom, % 166.23/166.22 ! [V_f_2,T_c,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inj__on__iff__eq__card,axiom, % 166.23/166.22 ! [V_f_2,T_c,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.22 <=> 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_eq__card__imp__inj__on,axiom, % 166.23/166.22 ! [V_f_2,T_c,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( 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) % 166.23/166.22 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__delta_H,axiom, % 166.23/166.22 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.22 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 166.23/166.22 => 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) ) % 166.23/166.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 166.23/166.22 => 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) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__delta,axiom, % 166.23/166.22 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.22 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 166.23/166.22 => 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) ) % 166.23/166.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 166.23/166.22 => 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) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__Suc__diff__eq1,axiom, % 166.23/166.22 ! [V_m,V_j,V_k] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__Suc__diff__eq2,axiom, % 166.23/166.22 ! [V_m,V_j,V_k] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum_Oinsert,axiom, % 166.23/166.22 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__insert,axiom, % 166.23/166.22 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2)) % 166.23/166.22 => 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)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__diff,axiom, % 166.23/166.22 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Oab__group__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.22 => 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)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum_Oreindex,axiom, % 166.23/166.22 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 166.23/166.22 => 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) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum_OF__eq,axiom, % 166.23/166.22 ! [V_g_2,V_A_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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) ) % 166.23/166.22 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum_Oeq__fold,axiom, % 166.23/166.22 ! [V_g_2,V_A_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__insert__disjoint,axiom, % 166.23/166.22 ! [V_x_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__insert__if,axiom, % 166.23/166.22 ! [V_x_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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) ) % 166.23/166.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__bij__eq,axiom, % 166.23/166.22 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.22 => ( 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)) % 166.23/166.22 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 166.23/166.22 => ( 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)) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 166.23/166.22 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inj__on__fun__updI,axiom, % 166.23/166.22 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 166.23/166.22 => 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum_Oinsert__remove,axiom, % 166.23/166.22 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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)))))) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_comm__monoid__big_Oinfinite,axiom, % 166.23/166.22 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.22 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 166.23/166.22 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.22 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__insert,axiom, % 166.23/166.22 ! [V_x_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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)))))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__Diff1__le,axiom, % 166.23/166.22 ! [V_x_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__inj__on__le,axiom, % 166.23/166.22 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.22 => ( 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)) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 166.23/166.22 => 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))) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__diff1_H,axiom, % 166.23/166.22 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.22 => 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)))))) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum_Oremove,axiom, % 166.23/166.22 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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)))))) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__diff1,axiom, % 166.23/166.22 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Oab__group__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.22 => 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)) ) % 166.23/166.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.22 => 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) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inj__on__iff__card__le,axiom, % 166.23/166.22 ! [V_B_2,T_c,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 166.23/166.22 => ( ? [B_f] : % 166.23/166.22 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 166.23/166.22 & 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)) ) % 166.23/166.22 <=> 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))) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__mono2,axiom, % 166.23/166.22 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Oordered__comm__monoid__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.22 => ( ! [B_b] : % 166.23/166.22 ( 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))) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) ) % 166.23/166.22 => 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))) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__Suc__eq,axiom, % 166.23/166.22 ! [V_k_2,V_A_2,T_b] : % 166.23/166.22 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 166.23/166.22 <=> ? [B_b,B_B] : % 166.23/166.22 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B) % 166.23/166.22 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B)) % 166.23/166.22 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2 % 166.23/166.22 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.22 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__mono3,axiom, % 166.23/166.22 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 166.23/166.22 ( ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.22 => ( ! [B_x] : % 166.23/166.22 ( 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))) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 166.23/166.22 => 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))) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__reindex__nonzero,axiom, % 166.23/166.22 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_d) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.22 => ( ! [B_x] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 166.23/166.22 => ! [B_y] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2)) % 166.23/166.22 => ( B_x != B_y % 166.23/166.22 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 166.23/166.22 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) % 166.23/166.22 => 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) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card_Oremove,axiom, % 166.23/166.22 ! [V_x_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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)))))) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__Plus__conv__if,axiom, % 166.23/166.22 ! [V_B_2,T_c,V_A_2,T_b] : % 166.23/166.22 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 166.23/166.22 => 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)) ) % 166.23/166.22 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 166.23/166.22 => 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__nonneg__0,axiom, % 166.23/166.22 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Oordered__ab__group__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 166.23/166.22 => ( ! [B_i] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 166.23/166.22 => ( 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) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 166.23/166.22 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__nonneg__leq__bound,axiom, % 166.23/166.22 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Oordered__ab__group__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 166.23/166.22 => ( ! [B_i] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 166.23/166.22 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2 % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__commute,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_one__reorient,axiom, % 166.23/166.22 ! [V_x_2,T_b] : % 166.23/166.22 ( class_Groups_Oone(T_b) % 166.23/166.22 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2 % 166.23/166.22 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__Suc__eq__diff__pred,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_diff__Suc__1,axiom, % 166.23/166.22 ! [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 ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__eq__setsum,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_finite__PlusD_I2_J,axiom, % 166.23/166.22 ! [V_B_2,V_A_2,T_c,T_b] : % 166.23/166.22 ( 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))) % 166.23/166.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_finite__PlusD_I1_J,axiom, % 166.23/166.22 ! [V_B_2,V_A_2,T_c,T_b] : % 166.23/166.22 ( 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))) % 166.23/166.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_finite__Plus,axiom, % 166.23/166.22 ! [V_B_2,T_c,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 166.23/166.22 => 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))) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_finite__Plus__iff,axiom, % 166.23/166.22 ! [V_B_2,V_A_2,T_c,T_b] : % 166.23/166.22 ( 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))) % 166.23/166.22 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__eq__1__iff,axiom, % 166.23/166.22 ! [V_f_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( 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) % 166.23/166.22 <=> ? [B_x] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.22 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 166.23/166.22 & ! [B_xa] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 166.23/166.22 => ( B_x != B_xa % 166.23/166.22 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_One__nat__def,axiom, % 166.23/166.22 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Suc__eq__plus1__left,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Suc__eq__plus1,axiom, % 166.23/166.22 ! [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)) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Ints__1,axiom, % 166.23/166.22 ! [T_b] : % 166.23/166.22 ( class_Rings_Oring__1(T_b) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Nats__1,axiom, % 166.23/166.22 ! [T_b] : % 166.23/166.22 ( class_Rings_Osemiring__1(T_b) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_add__eq__if,axiom, % 166.23/166.22 ! [V_n,V_m] : % 166.23/166.22 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.22 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 166.23/166.22 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 166.23/166.22 ! [V_N_2] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 166.23/166.22 <=> ? [B_m] : % 166.23/166.22 ! [B_x] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Ints__odd__nonzero,axiom, % 166.23/166.22 ! [V_a_2,T_b] : % 166.23/166.22 ( class_Int_Oring__char__0(T_b) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 166.23/166.22 => 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) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card_Oeq__fold__g,axiom, % 166.23/166.22 ! [V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__def,axiom, % 166.23/166.22 ! [V_A_2,T_b] : % 166.23/166.22 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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) ) % 166.23/166.22 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__Plus,axiom, % 166.23/166.22 ! [V_B_2,T_c,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card_Oinsert,axiom, % 166.23/166.22 ! [V_x_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__Diff__insert,axiom, % 166.23/166.22 ! [V_B_2,V_a_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 166.23/166.22 => 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)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__Diff__singleton__if,axiom, % 166.23/166.22 ! [V_x_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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)) ) % 166.23/166.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__Diff__singleton,axiom, % 166.23/166.22 ! [V_x_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card_Oinsert__remove,axiom, % 166.23/166.22 ! [V_x_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => 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)))))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_zero__le__one,axiom, % 166.23/166.22 ! [T_a] : % 166.23/166.22 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.22 => 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))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_not__one__le__zero,axiom, % 166.23/166.22 ! [T_a] : % 166.23/166.22 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.22 => ~ 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))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Plus__eq__empty__conv,axiom, % 166.23/166.22 ! [V_B_2,V_A_2,T_c,T_b] : % 166.23/166.22 ( 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)) % 166.23/166.22 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.22 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 166.23/166.22 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 166.23/166.22 ( 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))) % 166.23/166.22 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 166.23/166.22 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_ord_OatLeastLessThan__iff,axiom, % 166.23/166.22 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 166.23/166.22 ( 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))) % 166.23/166.22 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 166.23/166.22 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 166.23/166.22 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] : % 166.23/166.22 ( 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))) % 166.23/166.22 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 166.23/166.22 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_ord_OatLeastAtMost__iff,axiom, % 166.23/166.22 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] : % 166.23/166.22 ( 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))) % 166.23/166.22 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 166.23/166.22 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_ord_OgreaterThan__iff,axiom, % 166.23/166.22 ! [V_k_2,V_less_2,V_i_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2))) % 166.23/166.22 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_ord_OlessThan__iff,axiom, % 166.23/166.22 ! [V_k_2,V_less_2,V_i_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2))) % 166.23/166.22 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_zero__neq__one,axiom, % 166.23/166.22 ! [T_a] : % 166.23/166.22 ( class_Rings_Ozero__neq__one(T_a) % 166.23/166.22 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_one__neq__zero,axiom, % 166.23/166.22 ! [T_a] : % 166.23/166.22 ( class_Rings_Ozero__neq__one(T_a) % 166.23/166.22 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_ord_OatMost__iff,axiom, % 166.23/166.22 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2))) % 166.23/166.22 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_ord_OatLeast__iff,axiom, % 166.23/166.22 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2))) % 166.23/166.22 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__mono__zero__left,axiom, % 166.23/166.22 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 166.23/166.22 => ( ! [B_x] : % 166.23/166.22 ( 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))) % 166.23/166.22 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 166.23/166.22 => 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) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__mono__zero__right,axiom, % 166.23/166.22 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 166.23/166.22 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 166.23/166.22 => ( ! [B_x] : % 166.23/166.22 ( 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))) % 166.23/166.22 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 166.23/166.22 => 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) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__Diff1__less,axiom, % 166.23/166.22 ! [V_x_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => 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))) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_card__Diff2__less,axiom, % 166.23/166.22 ! [V_y_2,V_x_2,V_A_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 166.23/166.22 => 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))) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inj__on__diff__nat,axiom, % 166.23/166.22 ! [V_k_2,V_N_2] : % 166.23/166.22 ( ! [B_x] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_setsum__natinterval__difff,axiom, % 166.23/166.22 ! [V_f_2,V_n_2,V_m_2,T_b] : % 166.23/166.22 ( class_Groups_Oab__group__add(T_b) % 166.23/166.22 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.22 => 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)))) ) % 166.23/166.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.22 => 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) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_folding_Ounion,axiom, % 166.23/166.22 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.22 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.22 => ( 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)) % 166.23/166.22 => 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)) ) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf1I,axiom, % 166.23/166.22 ! [T_b,V_B_2,V_x_2,V_A_2] : % 166.23/166.22 ( hBOOL(hAPP(V_A_2,V_x_2)) % 166.23/166.22 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf1E,axiom, % 166.23/166.22 ! [V_x_2,V_B_2,V_A_2,T_b] : % 166.23/166.22 ( 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)) % 166.23/166.22 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 166.23/166.22 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_IntI,axiom, % 166.23/166.22 ! [V_B_2,V_A_2,V_c_2,T_b] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 166.23/166.22 => 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))) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_IntE,axiom, % 166.23/166.22 ! [V_B_2,V_A_2,V_c_2,T_b] : % 166.23/166.22 ( 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))) % 166.23/166.22 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.23/166.22 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_less__zeroE,axiom, % 166.23/166.22 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Suc__mono,axiom, % 166.23/166.22 ! [V_n,V_m] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_lessI,axiom, % 166.23/166.22 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 166.23/166.22 % 166.23/166.22 fof(fact_finite__Int,axiom, % 166.23/166.22 ! [V_Ga_2,V_F_2,T_b] : % 166.23/166.22 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 166.23/166.22 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) % 166.23/166.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_finite__atLeastAtMost,axiom, % 166.23/166.22 ! [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))) ). % 166.23/166.22 % 166.23/166.22 fof(fact_zero__less__Suc,axiom, % 166.23/166.22 ! [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))) ). % 166.23/166.22 % 166.23/166.22 fof(fact_atLeastatMost__empty,axiom, % 166.23/166.22 ! [V_a_2,V_b_2,T_b] : % 166.23/166.22 ( class_Orderings_Oorder(T_b) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_linorder__neqE__linordered__idom,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.22 => ( V_x != V_y % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Pow__Int__eq,axiom, % 166.23/166.22 ! [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)) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__less__irrefl,axiom, % 166.23/166.22 ! [V_x,T_a] : % 166.23/166.22 ( class_Orderings_Opreorder(T_a) % 166.23/166.22 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_linorder__neq__iff,axiom, % 166.23/166.22 ! [V_y_2,V_x_2,T_b] : % 166.23/166.22 ( class_Orderings_Olinorder(T_b) % 166.23/166.22 => ( V_x_2 != V_y_2 % 166.23/166.22 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 166.23/166.22 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_not__less__iff__gr__or__eq,axiom, % 166.23/166.22 ! [V_y_2,V_x_2,T_b] : % 166.23/166.22 ( class_Orderings_Olinorder(T_b) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 166.23/166.22 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 166.23/166.22 | V_x_2 = V_y_2 ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_linorder__less__linear,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Olinorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 | V_x = V_y % 166.23/166.22 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_linorder__antisym__conv3,axiom, % 166.23/166.22 ! [V_x_2,V_y_2,T_b] : % 166.23/166.22 ( class_Orderings_Olinorder(T_b) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 166.23/166.22 <=> V_x_2 = V_y_2 ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_linorder__neqE,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Olinorder(T_a) % 166.23/166.22 => ( V_x != V_y % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_less__imp__neq,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Oorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 => V_x != V_y ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__less__not__sym,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Opreorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__less__imp__not__less,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Opreorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__less__imp__not__eq,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Oorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 => V_x != V_y ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__less__imp__not__eq2,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Oorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 => V_y != V_x ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__less__asym_H,axiom, % 166.23/166.22 ! [V_b,V_a,T_a] : % 166.23/166.22 ( class_Orderings_Opreorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.22 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_xt1_I9_J,axiom, % 166.23/166.22 ! [V_a,V_b,T_a] : % 166.23/166.22 ( class_Orderings_Oorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 166.23/166.22 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_ord__eq__less__trans,axiom, % 166.23/166.22 ! [V_c,V_b,V_a,T_a] : % 166.23/166.22 ( class_Orderings_Oord(T_a) % 166.23/166.22 => ( V_a = V_b % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_xt1_I1_J,axiom, % 166.23/166.22 ! [V_c,V_b,V_a,T_a] : % 166.23/166.22 ( class_Orderings_Oorder(T_a) % 166.23/166.22 => ( V_a = V_b % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_ord__less__eq__trans,axiom, % 166.23/166.22 ! [V_c,V_b,V_a,T_a] : % 166.23/166.22 ( class_Orderings_Oord(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.22 => ( V_b = V_c % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_xt1_I2_J,axiom, % 166.23/166.22 ! [V_c,V_a,V_b,T_a] : % 166.23/166.22 ( class_Orderings_Oorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 166.23/166.22 => ( V_b = V_c % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__less__trans,axiom, % 166.23/166.22 ! [V_z,V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Opreorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_xt1_I10_J,axiom, % 166.23/166.22 ! [V_z,V_x,V_y,T_a] : % 166.23/166.22 ( class_Orderings_Oorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__less__asym,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Opreorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_linorder__cases,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Olinorder(T_a) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 => ( V_x != V_y % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Int__absorb,axiom, % 166.23/166.22 ! [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 ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf_Oidem,axiom, % 166.23/166.22 ! [V_a,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__idem,axiom, % 166.23/166.22 ! [V_x,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__fun__def,axiom, % 166.23/166.22 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 166.23/166.22 ( class_Lattices_Olattice(T_b) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Int__commute,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf_Ocommute,axiom, % 166.23/166.22 ! [V_b,V_a,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__sup__aci_I1_J,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Olattice(T_a) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__commute,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Int__left__absorb,axiom, % 166.23/166.22 ! [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) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf_Oleft__idem,axiom, % 166.23/166.22 ! [V_b,V_a,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__sup__aci_I4_J,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Olattice(T_a) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__left__idem,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Int__left__commute,axiom, % 166.23/166.22 ! [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)) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf_Oleft__commute,axiom, % 166.23/166.22 ! [V_c,V_a,V_b,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__sup__aci_I3_J,axiom, % 166.23/166.22 ! [V_z,V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Olattice(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__left__commute,axiom, % 166.23/166.22 ! [V_z,V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Int__assoc,axiom, % 166.23/166.22 ! [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)) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf_Oassoc,axiom, % 166.23/166.22 ! [V_c,V_b,V_a,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__sup__aci_I2_J,axiom, % 166.23/166.22 ! [V_z,V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Olattice(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__assoc,axiom, % 166.23/166.22 ! [V_z,V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__apply,axiom, % 166.23/166.22 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 166.23/166.22 ( class_Lattices_Olattice(T_b) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_less__infI1,axiom, % 166.23/166.22 ! [V_b,V_x,V_a,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_less__infI2,axiom, % 166.23/166.22 ! [V_a,V_x,V_b,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf1D1,axiom, % 166.23/166.22 ! [V_x_2,V_B_2,V_A_2,T_b] : % 166.23/166.22 ( 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)) % 166.23/166.22 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf1D2,axiom, % 166.23/166.22 ! [V_x_2,V_B_2,V_A_2,T_b] : % 166.23/166.22 ( 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)) % 166.23/166.22 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_less__not__refl,axiom, % 166.23/166.22 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 166.23/166.22 % 166.23/166.22 fof(fact_nat__neq__iff,axiom, % 166.23/166.22 ! [V_n_2,V_m_2] : % 166.23/166.22 ( V_m_2 != V_n_2 % 166.23/166.22 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.22 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Inf__fin_Oidem,axiom, % 166.23/166.22 ! [V_x,T_a] : % 166.23/166.22 ( class_Lattices_Olattice(T_a) % 166.23/166.22 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_linorder__neqE__nat,axiom, % 166.23/166.22 ! [V_y,V_x] : % 166.23/166.22 ( V_x != V_y % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_less__irrefl__nat,axiom, % 166.23/166.22 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 166.23/166.22 % 166.23/166.22 fof(fact_less__not__refl2,axiom, % 166.23/166.22 ! [V_m,V_n] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 166.23/166.22 => V_m != V_n ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_less__not__refl3,axiom, % 166.23/166.22 ! [V_t,V_s] : % 166.23/166.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 166.23/166.22 => V_s != V_t ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_nat__less__cases,axiom, % 166.23/166.22 ! [V_Pa_2,V_n_2,V_m_2] : % 166.23/166.22 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.22 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 166.23/166.22 => ( ( V_m_2 = V_n_2 % 166.23/166.22 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 166.23/166.22 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 166.23/166.22 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 166.23/166.22 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_atLeastatMost__psubset__iff,axiom, % 166.23/166.22 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.22 ( class_Orderings_Oorder(T_b) % 166.23/166.22 => ( 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))) % 166.23/166.22 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 166.23/166.22 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 166.23/166.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) % 166.23/166.22 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2)) % 166.23/166.22 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) ) % 166.23/166.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__sup__ord_I1_J,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Olattice(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__le1,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__sup__ord_I2_J,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Olattice(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__le2,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_le__iff__inf,axiom, % 166.23/166.22 ! [V_y_2,V_x_2,T_b] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_b) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.22 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_le__inf__iff,axiom, % 166.23/166.22 ! [V_z_2,V_y_2,V_x_2,T_b] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_b) % 166.23/166.22 => ( 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))) % 166.23/166.22 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_le__infI1,axiom, % 166.23/166.22 ! [V_b,V_x,V_a,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_le__infI2,axiom, % 166.23/166.22 ! [V_a,V_x,V_b,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 166.23/166.22 => 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)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__absorb1,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.22 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__absorb2,axiom, % 166.23/166.22 ! [V_x,V_y,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 166.23/166.22 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_le__infI,axiom, % 166.23/166.22 ! [V_b,V_a,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 166.23/166.22 => 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))) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__greatest,axiom, % 166.23/166.22 ! [V_z,V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 166.23/166.22 => 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))) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__mono,axiom, % 166.23/166.22 ! [V_d,V_b,V_c,V_a,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 166.23/166.22 => 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))) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_le__infE,axiom, % 166.23/166.22 ! [V_b,V_a,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Osemilattice__inf(T_a) % 166.23/166.22 => ( 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))) % 166.23/166.22 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 166.23/166.22 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__bot__left,axiom, % 166.23/166.22 ! [V_x,T_a] : % 166.23/166.22 ( class_Lattices_Obounded__lattice__bot(T_a) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__bot__right,axiom, % 166.23/166.22 ! [V_x,T_a] : % 166.23/166.22 ( class_Lattices_Obounded__lattice__bot(T_a) % 166.23/166.22 => 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) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__sup__absorb,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Olattice(T_a) % 166.23/166.22 => 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 ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_sup__inf__absorb,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Olattice(T_a) % 166.23/166.22 => 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 ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__sup__distrib1,axiom, % 166.23/166.22 ! [V_z,V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Odistrib__lattice(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_sup__inf__distrib1,axiom, % 166.23/166.22 ! [V_z,V_y,V_x,T_a] : % 166.23/166.22 ( class_Lattices_Odistrib__lattice(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_inf__sup__distrib2,axiom, % 166.23/166.22 ! [V_x,V_z,V_y,T_a] : % 166.23/166.22 ( class_Lattices_Odistrib__lattice(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_sup__inf__distrib2,axiom, % 166.23/166.22 ! [V_x,V_z,V_y,T_a] : % 166.23/166.22 ( class_Lattices_Odistrib__lattice(T_a) % 166.23/166.22 => 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)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_Int__iff,axiom, % 166.23/166.22 ! [V_B_2,V_A_2,V_c_2,T_b] : % 166.23/166.22 ( 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))) % 166.23/166.22 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.23/166.22 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_IntD1,axiom, % 166.23/166.22 ! [V_B_2,V_A_2,V_c_2,T_b] : % 166.23/166.22 ( 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))) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_IntD2,axiom, % 166.23/166.22 ! [V_B_2,V_A_2,V_c_2,T_b] : % 166.23/166.22 ( 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))) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_linorder__not__less,axiom, % 166.23/166.22 ! [V_y_2,V_x_2,T_b] : % 166.23/166.22 ( class_Orderings_Olinorder(T_b) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 166.23/166.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_linorder__not__le,axiom, % 166.23/166.22 ! [V_y_2,V_x_2,T_b] : % 166.23/166.22 ( class_Orderings_Olinorder(T_b) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_linorder__le__less__linear,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Olinorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.22 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__less__le,axiom, % 166.23/166.22 ! [V_y_2,V_x_2,T_b] : % 166.23/166.22 ( class_Orderings_Oorder(T_b) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 166.23/166.22 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.22 & V_x_2 != V_y_2 ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_less__le__not__le,axiom, % 166.23/166.22 ! [V_y_2,V_x_2,T_b] : % 166.23/166.22 ( class_Orderings_Opreorder(T_b) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 166.23/166.22 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.22 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__le__less,axiom, % 166.23/166.22 ! [V_y_2,V_x_2,T_b] : % 166.23/166.22 ( class_Orderings_Oorder(T_b) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.22 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 166.23/166.22 | V_x_2 = V_y_2 ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_leI,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Olinorder(T_a) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_not__leE,axiom, % 166.23/166.22 ! [V_x,V_y,T_a] : % 166.23/166.22 ( class_Orderings_Olinorder(T_a) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_linorder__antisym__conv1,axiom, % 166.23/166.22 ! [V_y_2,V_x_2,T_b] : % 166.23/166.22 ( class_Orderings_Olinorder(T_b) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.22 <=> V_x_2 = V_y_2 ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__neq__le__trans,axiom, % 166.23/166.22 ! [V_b,V_a,T_a] : % 166.23/166.22 ( class_Orderings_Oorder(T_a) % 166.23/166.22 => ( V_a != V_b % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_xt1_I12_J,axiom, % 166.23/166.22 ! [V_b,V_a,T_a] : % 166.23/166.22 ( class_Orderings_Oorder(T_a) % 166.23/166.22 => ( V_a != V_b % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_leD,axiom, % 166.23/166.22 ! [V_x,V_y,T_a] : % 166.23/166.22 ( class_Orderings_Olinorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 166.23/166.22 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__less__imp__le,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Opreorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_linorder__antisym__conv2,axiom, % 166.23/166.22 ! [V_y_2,V_x_2,T_b] : % 166.23/166.22 ( class_Orderings_Olinorder(T_b) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 166.23/166.22 <=> V_x_2 = V_y_2 ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__le__imp__less__or__eq,axiom, % 166.23/166.22 ! [V_y,V_x,T_a] : % 166.23/166.22 ( class_Orderings_Oorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.22 | V_x = V_y ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__le__neq__trans,axiom, % 166.23/166.22 ! [V_b,V_a,T_a] : % 166.23/166.22 ( class_Orderings_Oorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.22 => ( V_a != V_b % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_xt1_I11_J,axiom, % 166.23/166.22 ! [V_a,V_b,T_a] : % 166.23/166.22 ( class_Orderings_Oorder(T_a) % 166.23/166.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 166.23/166.22 => ( V_a != V_b % 166.23/166.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 166.23/166.22 % 166.23/166.22 fof(fact_order__less__le__trans,axiom, % 166.23/166.23 ! [V_z,V_y,V_x,T_a] : % 166.23/166.23 ( class_Orderings_Opreorder(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_xt1_I7_J,axiom, % 166.23/166.23 ! [V_z,V_x,V_y,T_a] : % 166.23/166.23 ( class_Orderings_Oorder(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_order__le__less__trans,axiom, % 166.23/166.23 ! [V_z,V_y,V_x,T_a] : % 166.23/166.23 ( class_Orderings_Opreorder(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_xt1_I8_J,axiom, % 166.23/166.23 ! [V_z,V_x,V_y,T_a] : % 166.23/166.23 ( class_Orderings_Oorder(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__empty__left,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__empty__right,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_disjoint__iff__not__equal,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,T_b] : % 166.23/166.23 ( 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)) % 166.23/166.23 <=> ! [B_x] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.23 => ! [B_xa] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2)) % 166.23/166.23 => B_x != B_xa ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_image__Suc__atLeastAtMost,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_insert__inter__insert,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__less__imp__less__left,axiom, % 166.23/166.23 ! [V_b,V_a,V_c,T_a] : % 166.23/166.23 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 166.23/166.23 => ( 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))) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__less__imp__less__right,axiom, % 166.23/166.23 ! [V_b,V_c,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 166.23/166.23 => ( 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))) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__strict__mono,axiom, % 166.23/166.23 ! [V_d,V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__strict__left__mono,axiom, % 166.23/166.23 ! [V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__strict__right__mono,axiom, % 166.23/166.23 ! [V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__less__cancel__left,axiom, % 166.23/166.23 ! [V_b_2,V_a_2,V_c_2,T_b] : % 166.23/166.23 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 166.23/166.23 => ( 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))) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__less__cancel__right,axiom, % 166.23/166.23 ! [V_b_2,V_c_2,V_a_2,T_b] : % 166.23/166.23 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 166.23/166.23 => ( 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))) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__lower1,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__lower2,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__absorb2,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__absorb1,axiom, % 166.23/166.23 ! [V_A_2,V_B_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__greatest,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_C_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__mono,axiom, % 166.23/166.23 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_diff__eq__diff__less,axiom, % 166.23/166.23 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.23 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.23 => ( 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) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__Un__distrib,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Un__Int__distrib,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__Un__distrib2,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Un__Int__distrib2,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Un__Int__crazy,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__supI1,axiom, % 166.23/166.23 ! [V_b,V_a,V_x,T_a] : % 166.23/166.23 ( class_Lattices_Osemilattice__sup(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__supI2,axiom, % 166.23/166.23 ! [V_a,V_b,V_x,T_a] : % 166.23/166.23 ( class_Lattices_Osemilattice__sup(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Diff__Int__distrib,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__Diff,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Diff__Int__distrib2,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Diff__Int2,axiom, % 166.23/166.23 ! [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) ). % 166.23/166.23 % 166.23/166.23 fof(fact_gr0I,axiom, % 166.23/166.23 ! [V_n] : % 166.23/166.23 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_gr__implies__not0,axiom, % 166.23/166.23 ! [V_n,V_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.23 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__nat__zero__code,axiom, % 166.23/166.23 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 166.23/166.23 % 166.23/166.23 fof(fact_neq0__conv,axiom, % 166.23/166.23 ! [V_n_2] : % 166.23/166.23 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_not__less0,axiom, % 166.23/166.23 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 166.23/166.23 % 166.23/166.23 fof(fact_inj__on__Int,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.23 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 166.23/166.23 => 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)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Suc__less__SucD,axiom, % 166.23/166.23 ! [V_n,V_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Suc__lessD,axiom, % 166.23/166.23 ! [V_n,V_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__SucE,axiom, % 166.23/166.23 ! [V_n,V_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 166.23/166.23 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.23 => V_m = V_n ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__trans__Suc,axiom, % 166.23/166.23 ! [V_k,V_j,V_i] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Suc__lessI,axiom, % 166.23/166.23 ! [V_n,V_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.23 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__SucI,axiom, % 166.23/166.23 ! [V_n,V_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__antisym,axiom, % 166.23/166.23 ! [V_m,V_n] : % 166.23/166.23 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 166.23/166.23 => V_m = V_n ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_not__less__less__Suc__eq,axiom, % 166.23/166.23 ! [V_m_2,V_n_2] : % 166.23/166.23 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 166.23/166.23 <=> V_n_2 = V_m_2 ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Suc__less__eq,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( 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))) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__Suc__eq,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 166.23/166.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.23 | V_m_2 = V_n_2 ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_not__less__eq,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_not__add__less1,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_not__add__less2,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_nat__add__left__cancel__less,axiom, % 166.23/166.23 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.23 ( 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))) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_trans__less__add1,axiom, % 166.23/166.23 ! [V_m,V_j,V_i] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.23/166.23 => 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))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_trans__less__add2,axiom, % 166.23/166.23 ! [V_m,V_j,V_i] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.23/166.23 => 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))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__less__mono1,axiom, % 166.23/166.23 ! [V_k,V_j,V_i] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.23/166.23 => 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))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__less__mono,axiom, % 166.23/166.23 ! [V_l,V_k,V_j,V_i] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__add__eq__less,axiom, % 166.23/166.23 ! [V_n,V_m,V_l,V_k] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 166.23/166.23 => ( 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) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__lessD1,axiom, % 166.23/166.23 ! [V_k,V_j,V_i] : % 166.23/166.23 ( 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)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_termination__basic__simps_I2_J,axiom, % 166.23/166.23 ! [V_y,V_z,V_x] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 166.23/166.23 => 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))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_termination__basic__simps_I1_J,axiom, % 166.23/166.23 ! [V_z,V_y,V_x] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 166.23/166.23 => 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))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_termination__basic__simps_I5_J,axiom, % 166.23/166.23 ! [V_y,V_x] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_nat__less__le,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.23 & V_m_2 != V_n_2 ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_le__eq__less__or__eq,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.23 | V_m_2 = V_n_2 ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__imp__le__nat,axiom, % 166.23/166.23 ! [V_n,V_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_le__neq__implies__less,axiom, % 166.23/166.23 ! [V_n,V_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 166.23/166.23 => ( V_m != V_n % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__or__eq__imp__le,axiom, % 166.23/166.23 ! [V_n,V_m] : % 166.23/166.23 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.23 | V_m = V_n ) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__imp__diff__less,axiom, % 166.23/166.23 ! [V_n,V_k,V_j] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_diff__less__mono2,axiom, % 166.23/166.23 ! [V_l,V_n,V_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_fun__left__comm__idem__inf,axiom, % 166.23/166.23 ! [T_b] : % 166.23/166.23 ( class_Lattices_Osemilattice__inf(T_b) % 166.23/166.23 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__cl__ivl__Suc,axiom, % 166.23/166.23 ! [V_f_2,V_m_2,V_n_2,T_b] : % 166.23/166.23 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.23 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 166.23/166.23 => 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) ) % 166.23/166.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_inf__Int__eq,axiom, % 166.23/166.23 ! [V_x_2,V_S_2,V_R_2,T_b] : % 166.23/166.23 ( 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)) % 166.23/166.23 <=> 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))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_finite__nat__set__iff__bounded,axiom, % 166.23/166.23 ! [V_N_2] : % 166.23/166.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 166.23/166.23 <=> ? [B_m] : % 166.23/166.23 ! [B_x] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 166.23/166.23 ! [V_n_2,V_m_2,V_f_2,T_b] : % 166.23/166.23 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_image__add__atLeastAtMost,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 166.23/166.23 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 166.23/166.23 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_not__less__Least,axiom, % 166.23/166.23 ! [V_Pa_2,V_k_2,T_b] : % 166.23/166.23 ( class_Orderings_Owellorder(T_b) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),c_Orderings_Oord__class_OLeast(T_b,V_Pa_2))) % 166.23/166.23 => ~ hBOOL(hAPP(V_Pa_2,V_k_2)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_distrib__inf__le,axiom, % 166.23/166.23 ! [V_z,V_y,V_x,T_a] : % 166.23/166.23 ( class_Lattices_Olattice(T_a) % 166.23/166.23 => 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)))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_distrib__sup__le,axiom, % 166.23/166.23 ! [V_z,V_y,V_x,T_a] : % 166.23/166.23 ( class_Lattices_Olattice(T_a) % 166.23/166.23 => 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)))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__insert__right,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_a_2,T_b] : % 166.23/166.23 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.23 => 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)) ) % 166.23/166.23 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.23 => 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) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__insert__left,axiom, % 166.23/166.23 ! [V_B_2,V_C_2,V_a_2,T_b] : % 166.23/166.23 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 166.23/166.23 => 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)) ) % 166.23/166.23 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 166.23/166.23 => 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) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__insert__right__if0,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_a_2,T_b] : % 166.23/166.23 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__insert__left__if0,axiom, % 166.23/166.23 ! [V_B_2,V_C_2,V_a_2,T_b] : % 166.23/166.23 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__insert__right__if1,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_a_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Int__insert__left__if1,axiom, % 166.23/166.23 ! [V_B_2,V_C_2,V_a_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 166.23/166.23 ! [V_k_2,V_f_2] : % 166.23/166.23 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__less__le__mono,axiom, % 166.23/166.23 ! [V_d,V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__le__less__mono,axiom, % 166.23/166.23 ! [V_d,V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__neg__neg,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__comm__monoid__add(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__pos__pos,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__comm__monoid__add(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 166.23/166.23 ! [V_a_2,T_b] : % 166.23/166.23 ( class_Groups_Olinordered__ab__group__add(T_b) % 166.23/166.23 => ( 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))) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_even__less__0__iff,axiom, % 166.23/166.23 ! [V_a_2,T_b] : % 166.23/166.23 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.23 => ( 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))) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 166.23/166.23 ! [V_a_2,T_b] : % 166.23/166.23 ( class_Groups_Olinordered__ab__group__add(T_b) % 166.23/166.23 => ( 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))) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_pos__add__strict,axiom, % 166.23/166.23 ! [V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__iff__diff__less__0,axiom, % 166.23/166.23 ! [V_b_2,V_a_2,T_b] : % 166.23/166.23 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 166.23/166.23 <=> 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mono__inf,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 166.23/166.23 ( ( class_Lattices_Osemilattice__inf(T_c) % 166.23/166.23 & class_Lattices_Osemilattice__inf(T_b) ) % 166.23/166.23 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 166.23/166.23 => 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)))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_zero__less__one,axiom, % 166.23/166.23 ! [T_a] : % 166.23/166.23 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_not__one__less__zero,axiom, % 166.23/166.23 ! [T_a] : % 166.23/166.23 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.23 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_atLeastAtMostSuc__conv,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_card__atLeastAtMost,axiom, % 166.23/166.23 ! [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) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__add__one,axiom, % 166.23/166.23 ! [V_a,T_a] : % 166.23/166.23 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.23 => 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)))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_image__Int__subset,axiom, % 166.23/166.23 ! [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)))) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Diff__triv,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,T_b] : % 166.23/166.23 ( 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)) % 166.23/166.23 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Diff__disjoint,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Un__Int__assoc__eq,axiom, % 166.23/166.23 ! [V_C_2,V_B_2,V_A_2,T_b] : % 166.23/166.23 ( 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)) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Diff__Int,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Diff__Un,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Un__Diff__Int,axiom, % 166.23/166.23 ! [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 ). % 166.23/166.23 % 166.23/166.23 fof(fact_gr0__conv__Suc,axiom, % 166.23/166.23 ! [V_n_2] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 166.23/166.23 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__Suc0,axiom, % 166.23/166.23 ! [V_n_2] : % 166.23/166.23 ( 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)))) % 166.23/166.23 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__Suc__eq__0__disj,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 166.23/166.23 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.23 | ? [B_j] : % 166.23/166.23 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 166.23/166.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__gr__0,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( 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))) % 166.23/166.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 166.23/166.23 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__add__Suc1,axiom, % 166.23/166.23 ! [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)))) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__add__Suc2,axiom, % 166.23/166.23 ! [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)))) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__iff__Suc__add,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.23 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__eq__Suc__le,axiom, % 166.23/166.23 ! [V_m_2,V_n_2] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__Suc__eq__le,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Suc__le__eq,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_le__imp__less__Suc,axiom, % 166.23/166.23 ! [V_n,V_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Suc__leI,axiom, % 166.23/166.23 ! [V_n,V_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_le__less__Suc__eq,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 166.23/166.23 <=> V_n_2 = V_m_2 ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Suc__le__lessD,axiom, % 166.23/166.23 ! [V_n,V_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_diff__less,axiom, % 166.23/166.23 ! [V_m,V_n] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 166.23/166.23 => 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)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_zero__less__diff,axiom, % 166.23/166.23 ! [V_m_2,V_n_2] : % 166.23/166.23 ( 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))) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_diff__less__Suc,axiom, % 166.23/166.23 ! [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))) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__diff__conv,axiom, % 166.23/166.23 ! [V_k_2,V_j_2,V_i_2] : % 166.23/166.23 ( 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))) % 166.23/166.23 <=> 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__diff__inverse,axiom, % 166.23/166.23 ! [V_n,V_m] : % 166.23/166.23 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.23 => 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 ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_diff__less__mono,axiom, % 166.23/166.23 ! [V_c,V_b,V_a] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__diff__iff,axiom, % 166.23/166.23 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 166.23/166.23 => ( 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))) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_atLeastatMost__empty__iff,axiom, % 166.23/166.23 ! [V_b_2,V_a_2,T_b] : % 166.23/166.23 ( class_Orderings_Oorder(T_b) % 166.23/166.23 => ( 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)) % 166.23/166.23 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_atLeastatMost__empty__iff2,axiom, % 166.23/166.23 ! [V_b_2,V_a_2,T_b] : % 166.23/166.23 ( class_Orderings_Oorder(T_b) % 166.23/166.23 => ( 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) % 166.23/166.23 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_atLeastatMost__subset__iff,axiom, % 166.23/166.23 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.23 ( class_Orderings_Oorder(T_b) % 166.23/166.23 => ( 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))) % 166.23/166.23 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 166.23/166.23 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 166.23/166.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mono__Int,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.23 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2) % 166.23/166.23 => 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)))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_atLeastAtMost__singleton_H,axiom, % 166.23/166.23 ! [V_b_2,V_a_2,T_b] : % 166.23/166.23 ( class_Orderings_Oorder(T_b) % 166.23/166.23 => ( V_a_2 = V_b_2 % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_atLeastAtMost__singleton__iff,axiom, % 166.23/166.23 ! [V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.23 ( class_Orderings_Oorder(T_b) % 166.23/166.23 => ( 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))) % 166.23/166.23 <=> ( V_a_2 = V_b_2 % 166.23/166.23 & V_b_2 = V_c_2 ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_atLeastAtMost__singleton,axiom, % 166.23/166.23 ! [V_a_2,T_b] : % 166.23/166.23 ( class_Orderings_Oorder(T_b) % 166.23/166.23 => 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))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__eq__Suc__le__raw,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_inf__Sup__absorb,axiom, % 166.23/166.23 ! [V_a_2,V_A_2,T_b] : % 166.23/166.23 ( class_Lattices_Olattice(T_b) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.23 => 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 ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__nonpos__neg,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__comm__monoid__add(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__neg__nonpos,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__comm__monoid__add(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__strict__increasing2,axiom, % 166.23/166.23 ! [V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__comm__monoid__add(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__strict__increasing,axiom, % 166.23/166.23 ! [V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__comm__monoid__add(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__nonneg__pos,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__comm__monoid__add(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__pos__nonneg,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oordered__comm__monoid__add(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__head__Suc,axiom, % 166.23/166.23 ! [V_f_2,V_n_2,V_m_2,T_b] : % 166.23/166.23 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_zero__less__two,axiom, % 166.23/166.23 ! [T_a] : % 166.23/166.23 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.23 => 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)))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_inj__on__image__Int,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 166.23/166.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 166.23/166.23 => 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)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_card__ge__0__finite,axiom, % 166.23/166.23 ! [V_A_2,T_b] : % 166.23/166.23 ( 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))) % 166.23/166.23 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Suc__pred,axiom, % 166.23/166.23 ! [V_n] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.23/166.23 => 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 ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_diff__Suc__less,axiom, % 166.23/166.23 ! [V_i,V_n] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_nat__diff__split,axiom, % 166.23/166.23 ! [V_b_2,V_a_2,V_Pa_2] : % 166.23/166.23 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 166.23/166.23 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 166.23/166.23 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 166.23/166.23 & ! [B_d] : % 166.23/166.23 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 166.23/166.23 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_nat__diff__split__asm,axiom, % 166.23/166.23 ! [V_b_2,V_a_2,V_Pa_2] : % 166.23/166.23 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 166.23/166.23 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 166.23/166.23 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 166.23/166.23 | ? [B_d] : % 166.23/166.23 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 166.23/166.23 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_pigeonhole,axiom, % 166.23/166.23 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.23 ( 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))) % 166.23/166.23 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_folding__image__simple_Ounion__inter,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.23 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 166.23/166.23 => 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)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__Un__Int,axiom, % 166.23/166.23 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.23 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => 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)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__ub__add__nat,axiom, % 166.23/166.23 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] : % 166.23/166.23 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.23 => ( 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)))) % 166.23/166.23 => 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)))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_card__Un__Int,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_card_Ounion__inter,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => 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)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_card__Diff__subset__Int,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,T_b] : % 166.23/166.23 ( 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))) % 166.23/166.23 => 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))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_card__gt__0__iff,axiom, % 166.23/166.23 ! [V_A_2,T_b] : % 166.23/166.23 ( 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))) % 166.23/166.23 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.23 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Suc__pred_H,axiom, % 166.23/166.23 ! [V_n] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.23/166.23 => 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))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Suc__diff__1,axiom, % 166.23/166.23 ! [V_n] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.23/166.23 => 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 ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__restrict__set,axiom, % 166.23/166.23 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 166.23/166.23 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => 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) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_folding_Ounion__inter,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.23/166.23 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => 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)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.23 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 166.23/166.23 => ( 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)) % 166.23/166.23 => 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)) ) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_folding__one_Ounion__inter,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 166.23/166.23 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => ( 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)) % 166.23/166.23 => 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)) ) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_folding__one_Ounion__disjoint,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 166.23/166.23 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.23 => ( 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)) % 166.23/166.23 => 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)) ) ) ) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__Un__disjoint,axiom, % 166.23/166.23 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.23 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => ( 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)) % 166.23/166.23 => 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)) ) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__Un,axiom, % 166.23/166.23 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.23 ( class_Groups_Oab__group__add(T_c) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_card__Un__disjoint,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => ( 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)) % 166.23/166.23 => 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)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_inj__on__Un,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.23 ( 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)) % 166.23/166.23 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.23 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 166.23/166.23 & 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)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Sup__fin_Ounion__inter,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,T_b] : % 166.23/166.23 ( class_Lattices_Olattice(T_b) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => ( 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)) % 166.23/166.23 => 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)) ) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,T_b] : % 166.23/166.23 ( class_Lattices_Olattice(T_b) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.23 => ( 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)) % 166.23/166.23 => 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)) ) ) ) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Ints__odd__less__0,axiom, % 166.23/166.23 ! [V_a_2,T_b] : % 166.23/166.23 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 166.23/166.23 => ( 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))) % 166.23/166.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__Un__nat,axiom, % 166.23/166.23 ! [V_f_2,V_B_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_ex__nat__less,axiom, % 166.23/166.23 ! [V_Pa_2,V_n_2] : % 166.23/166.23 ( ? [B_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 166.23/166.23 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 166.23/166.23 <=> ? [B_x] : % 166.23/166.23 ( 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))) % 166.23/166.23 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_all__nat__less,axiom, % 166.23/166.23 ! [V_Pa_2,V_n_2] : % 166.23/166.23 ( ! [B_m] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 166.23/166.23 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 166.23/166.23 <=> ! [B_x] : % 166.23/166.23 ( 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))) % 166.23/166.23 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_card_Ounion__inter__neutral,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => ( ( ? [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))) % 166.23/166.23 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.23/166.23 => 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)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum_Ounion__inter__neutral,axiom, % 166.23/166.23 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.23 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => ( ! [B_x] : % 166.23/166.23 ( 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))) % 166.23/166.23 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 166.23/166.23 => 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)) ) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__Un__zero,axiom, % 166.23/166.23 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 166.23/166.23 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 166.23/166.23 => ( ! [B_x] : % 166.23/166.23 ( 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))) % 166.23/166.23 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 166.23/166.23 => 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)) ) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Inf__fin_Oremove,axiom, % 166.23/166.23 ! [V_x_2,V_A_2,T_b] : % 166.23/166.23 ( class_Lattices_Olattice(T_b) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.23 => ( ( hAPP(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)) % 166.23/166.23 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 ) % 166.23/166.23 & ( hAPP(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)) % 166.23/166.23 => 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)))))) ) ) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_ivl__disj__un_I5_J,axiom, % 166.23/166.23 ! [V_u_2,V_l_2,T_b] : % 166.23/166.23 ( class_Orderings_Olinorder(T_b) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 166.23/166.23 => 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) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_ex__least__nat__less,axiom, % 166.23/166.23 ! [V_n_2,V_Pa_2] : % 166.23/166.23 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 166.23/166.23 => ( hBOOL(hAPP(V_Pa_2,V_n_2)) % 166.23/166.23 => ? [B_k] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2)) % 166.23/166.23 & ! [B_i] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 166.23/166.23 => ~ hBOOL(hAPP(V_Pa_2,B_i)) ) % 166.23/166.23 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_fold__Un__disjoint,axiom, % 166.23/166.23 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.23 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.23 => ( 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)) % 166.23/166.23 => 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)) ) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_finite__greaterThanAtMost,axiom, % 166.23/166.23 ! [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))) ). % 166.23/166.23 % 166.23/166.23 fof(fact_psubset__trans,axiom, % 166.23/166.23 ! [V_C_2,V_B_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 166.23/166.23 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 166.23/166.23 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 166.23/166.23 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => 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))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 166.23/166.23 ! [V_rx,V_ly,V_lx,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 166.23/166.23 ! [V_rx,V_ly,V_lx,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 166.23/166.23 ! [V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Groups_Oab__semigroup__mult(T_a) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 166.23/166.23 ! [V_ry,V_rx,V_lx,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 166.23/166.23 ! [V_ry,V_rx,V_lx,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__left__idem,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__idem,axiom, % 166.23/166.23 ! [V_x,T_a] : % 166.23/166.23 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 166.23/166.23 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_times_Oidem,axiom, % 166.23/166.23 ! [V_a,T_a] : % 166.23/166.23 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 166.23/166.23 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_less__fun__def,axiom, % 166.23/166.23 ! [V_g_2,V_f_2,T_b,T_c] : % 166.23/166.23 ( class_Orderings_Oord(T_c) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 166.23/166.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 166.23/166.23 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_divisors__zero,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Ono__zero__divisors(T_a) % 166.23/166.23 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.23 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.23 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_no__zero__divisors,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Ono__zero__divisors(T_a) % 166.23/166.23 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.23 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.23 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__eq__0__iff,axiom, % 166.23/166.23 ! [V_b_2,V_a_2,T_b] : % 166.23/166.23 ( class_Rings_Oring__no__zero__divisors(T_b) % 166.23/166.23 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.23 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.23 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__zero__right,axiom, % 166.23/166.23 ! [V_a,T_a] : % 166.23/166.23 ( class_Rings_Omult__zero(T_a) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__zero__left,axiom, % 166.23/166.23 ! [V_a,T_a] : % 166.23/166.23 ( class_Rings_Omult__zero(T_a) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 166.23/166.23 ! [V_a,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 166.23/166.23 ! [V_a,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_psubsetD,axiom, % 166.23/166.23 ! [V_c_2,V_B_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_combine__common__factor,axiom, % 166.23/166.23 ! [V_c,V_b,V_e,V_a,T_a] : % 166.23/166.23 ( class_Rings_Osemiring(T_a) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__class_Odistrib,axiom, % 166.23/166.23 ! [V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring(T_a) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 166.23/166.23 ! [V_z,V_y,V_x,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_crossproduct__noteq,axiom, % 166.23/166.23 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.23 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 166.23/166.23 => ( ( V_a_2 != V_b_2 % 166.23/166.23 & V_c_2 != V_d_2 ) % 166.23/166.23 <=> 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)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 166.23/166.23 ! [V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => 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)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 166.23/166.23 ! [V_b,V_m,V_a,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_crossproduct__eq,axiom, % 166.23/166.23 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] : % 166.23/166.23 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 166.23/166.23 => ( 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)) % 166.23/166.23 <=> ( V_w_2 = V_x_2 % 166.23/166.23 | V_y_2 = V_z_2 ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_not__psubset__empty,axiom, % 166.23/166.23 ! [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)))) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult_Ocomm__neutral,axiom, % 166.23/166.23 ! [V_a,T_a] : % 166.23/166.23 ( class_Groups_Ocomm__monoid__mult(T_a) % 166.23/166.23 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 166.23/166.23 ! [V_a,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__1__right,axiom, % 166.23/166.23 ! [V_a,T_a] : % 166.23/166.23 ( class_Groups_Omonoid__mult(T_a) % 166.23/166.23 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__1,axiom, % 166.23/166.23 ! [V_a,T_a] : % 166.23/166.23 ( class_Groups_Ocomm__monoid__mult(T_a) % 166.23/166.23 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 166.23/166.23 ! [V_a,T_a] : % 166.23/166.23 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.23 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__1__left,axiom, % 166.23/166.23 ! [V_a,T_a] : % 166.23/166.23 ( class_Groups_Omonoid__mult(T_a) % 166.23/166.23 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__0,axiom, % 166.23/166.23 ! [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) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__0__right,axiom, % 166.23/166.23 ! [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) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__is__0,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.23 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.23 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__cancel1,axiom, % 166.23/166.23 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.23 ( 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) % 166.23/166.23 <=> ( V_m_2 = V_n_2 % 166.23/166.23 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__cancel2,axiom, % 166.23/166.23 ! [V_n_2,V_k_2,V_m_2] : % 166.23/166.23 ( 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) % 166.23/166.23 <=> ( V_m_2 = V_n_2 % 166.23/166.23 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_Suc__mult__cancel1,axiom, % 166.23/166.23 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.23 ( 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) % 166.23/166.23 <=> V_m_2 = V_n_2 ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_subset__psubset__trans,axiom, % 166.23/166.23 ! [V_C_2,V_B_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_psubset__subset__trans,axiom, % 166.23/166.23 ! [V_C_2,V_B_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_psubset__imp__subset,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_subset__iff__psubset__eq,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.23 | V_A_2 = V_B_2 ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_psubset__eq,axiom, % 166.23/166.23 ! [V_B_2,V_A_2,T_b] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.23 & V_A_2 != V_B_2 ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__mult__distrib,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_add__mult__distrib2,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__le__mono,axiom, % 166.23/166.23 ! [V_l,V_k,V_j,V_i] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 166.23/166.23 => 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))) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__le__mono2,axiom, % 166.23/166.23 ! [V_k,V_j,V_i] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.23/166.23 => 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))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__le__mono1,axiom, % 166.23/166.23 ! [V_k,V_j,V_i] : % 166.23/166.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.23/166.23 => 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))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_le__cube,axiom, % 166.23/166.23 ! [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)))) ). % 166.23/166.23 % 166.23/166.23 fof(fact_le__square,axiom, % 166.23/166.23 ! [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))) ). % 166.23/166.23 % 166.23/166.23 fof(fact_diff__mult__distrib,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_diff__mult__distrib2,axiom, % 166.23/166.23 ! [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)) ). % 166.23/166.23 % 166.23/166.23 fof(fact_nat__mult__eq__1__iff,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 166.23/166.23 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 166.23/166.23 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_nat__mult__1__right,axiom, % 166.23/166.23 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 166.23/166.23 % 166.23/166.23 fof(fact_nat__1__eq__mult__iff,axiom, % 166.23/166.23 ! [V_n_2,V_m_2] : % 166.23/166.23 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) % 166.23/166.23 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 166.23/166.23 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_nat__mult__1,axiom, % 166.23/166.23 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 166.23/166.23 % 166.23/166.23 fof(fact_fun__left__comm__idem,axiom, % 166.23/166.23 ! [T_b] : % 166.23/166.23 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 166.23/166.23 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_card__greaterThanAtMost,axiom, % 166.23/166.23 ! [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) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__product,axiom, % 166.23/166.23 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.23 ( class_Rings_Osemiring__0(T_b) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__left__distrib,axiom, % 166.23/166.23 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.23 ( class_Rings_Osemiring__0(T_b) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_setsum__right__distrib,axiom, % 166.23/166.23 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] : % 166.23/166.23 ( class_Rings_Osemiring__0(T_b) % 166.23/166.23 => 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) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_zero__le__square,axiom, % 166.23/166.23 ! [V_a,T_a] : % 166.23/166.23 ( class_Rings_Olinordered__ring(T_a) % 166.23/166.23 => 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))) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_zero__le__mult__iff,axiom, % 166.23/166.23 ! [V_b_2,V_a_2,T_b] : % 166.23/166.23 ( class_Rings_Olinordered__ring__strict(T_b) % 166.23/166.23 => ( 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))) % 166.23/166.23 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 166.23/166.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 166.23/166.23 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__le__0__iff,axiom, % 166.23/166.23 ! [V_b_2,V_a_2,T_b] : % 166.23/166.23 ( class_Rings_Olinordered__ring__strict(T_b) % 166.23/166.23 => ( 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))) % 166.23/166.23 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 166.23/166.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 166.23/166.23 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__nonneg__nonneg,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Oordered__cancel__semiring(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__nonneg__nonpos,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Oordered__cancel__semiring(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__nonneg__nonpos2,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Oordered__cancel__semiring(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__nonpos__nonneg,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Oordered__cancel__semiring(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__nonpos__nonpos,axiom, % 166.23/166.23 ! [V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Oordered__ring(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__right__mono,axiom, % 166.23/166.23 ! [V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Oordered__semiring(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__left__mono,axiom, % 166.23/166.23 ! [V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Oordered__semiring(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_comm__mult__left__mono,axiom, % 166.23/166.23 ! [V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Oordered__comm__semiring(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__right__mono__neg,axiom, % 166.23/166.23 ! [V_c,V_a,V_b,T_a] : % 166.23/166.23 ( class_Rings_Oordered__ring(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__left__mono__neg,axiom, % 166.23/166.23 ! [V_c,V_a,V_b,T_a] : % 166.23/166.23 ( class_Rings_Oordered__ring(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.23 => 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))) ) ) ) ). % 166.23/166.23 % 166.23/166.23 fof(fact_mult__mono_H,axiom, % 166.23/166.23 ! [V_d,V_c,V_b,V_a,T_a] : % 166.23/166.23 ( class_Rings_Oordered__semiring(T_a) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => 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))) ) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__mono,axiom, % 166.23/166.24 ! [V_d,V_c,V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Oordered__semiring(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => 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))) ) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_split__mult__pos__le,axiom, % 166.23/166.24 ! [V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Oordered__ring(T_a) % 166.23/166.24 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 166.23/166.24 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_split__mult__neg__le,axiom, % 166.23/166.24 ! [V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Oordered__cancel__semiring(T_a) % 166.23/166.24 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 166.23/166.24 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__strict__left__mono__neg,axiom, % 166.23/166.24 ! [V_c,V_a,V_b,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__ring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__strict__right__mono__neg,axiom, % 166.23/166.24 ! [V_c,V_a,V_b,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__ring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_comm__mult__strict__left__mono,axiom, % 166.23/166.24 ! [V_c,V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__strict__left__mono,axiom, % 166.23/166.24 ! [V_c,V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__strict__right__mono,axiom, % 166.23/166.24 ! [V_c,V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__neg__neg,axiom, % 166.23/166.24 ! [V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__ring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__neg__pos,axiom, % 166.23/166.24 ! [V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__less__cancel__left__neg,axiom, % 166.23/166.24 ! [V_b_2,V_a_2,V_c_2,T_b] : % 166.23/166.24 ( class_Rings_Olinordered__ring__strict(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zero__less__mult__pos2,axiom, % 166.23/166.24 ! [V_a,V_b,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( 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))) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zero__less__mult__pos,axiom, % 166.23/166.24 ! [V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( 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))) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__pos__neg2,axiom, % 166.23/166.24 ! [V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__pos__neg,axiom, % 166.23/166.24 ! [V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__pos__pos,axiom, % 166.23/166.24 ! [V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__less__cancel__left__pos,axiom, % 166.23/166.24 ! [V_b_2,V_a_2,V_c_2,T_b] : % 166.23/166.24 ( class_Rings_Olinordered__ring__strict(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__less__cancel__left__disj,axiom, % 166.23/166.24 ! [V_b_2,V_a_2,V_c_2,T_b] : % 166.23/166.24 ( class_Rings_Olinordered__ring__strict(T_b) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 166.23/166.24 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__less__cancel__right__disj,axiom, % 166.23/166.24 ! [V_b_2,V_c_2,V_a_2,T_b] : % 166.23/166.24 ( class_Rings_Olinordered__ring__strict(T_b) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 166.23/166.24 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_not__square__less__zero,axiom, % 166.23/166.24 ! [V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__ring(T_a) % 166.23/166.24 => ~ 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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_sum__squares__eq__zero__iff,axiom, % 166.23/166.24 ! [V_y_2,V_x_2,T_b] : % 166.23/166.24 ( class_Rings_Olinordered__ring__strict(T_b) % 166.23/166.24 => ( 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) % 166.23/166.24 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.24 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_add__scale__eq__noteq,axiom, % 166.23/166.24 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 166.23/166.24 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 166.23/166.24 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.24 => ( ( V_a = V_b % 166.23/166.24 & V_c != V_d ) % 166.23/166.24 => 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)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_less__1__mult,axiom, % 166.23/166.24 ! [V_n,V_m,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_eq__add__iff2,axiom, % 166.23/166.24 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 166.23/166.24 ( class_Rings_Oring(T_b) % 166.23/166.24 => ( 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) % 166.23/166.24 <=> 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) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_eq__add__iff1,axiom, % 166.23/166.24 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 166.23/166.24 ( class_Rings_Oring(T_b) % 166.23/166.24 => ( 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) % 166.23/166.24 <=> 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 ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 166.23/166.24 ! [V_m,T_a] : % 166.23/166.24 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.24 => 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) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 166.23/166.24 ! [V_a,V_m,T_a] : % 166.23/166.24 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.24 => 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) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 166.23/166.24 ! [V_m,V_a,T_a] : % 166.23/166.24 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.24 => 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) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__eq__1__iff,axiom, % 166.23/166.24 ! [V_n_2,V_m_2] : % 166.23/166.24 ( 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)) % 166.23/166.24 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 166.23/166.24 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__less__mono2,axiom, % 166.23/166.24 ! [V_k,V_j,V_i] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__less__mono1,axiom, % 166.23/166.24 ! [V_k,V_j,V_i] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__less__cancel2,axiom, % 166.23/166.24 ! [V_n_2,V_k_2,V_m_2] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 166.23/166.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__less__cancel1,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 166.23/166.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__0__less__mult__iff,axiom, % 166.23/166.24 ! [V_n_2,V_m_2] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 166.23/166.24 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Suc__mult__less__cancel1,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__Suc,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__Suc__right,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Suc__mult__le__cancel1,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_inj__on__strict__subset,axiom, % 166.23/166.24 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 166.23/166.24 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__eq__self__implies__10,axiom, % 166.23/166.24 ! [V_n,V_m] : % 166.23/166.24 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 166.23/166.24 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 166.23/166.24 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Ints__mult,axiom, % 166.23/166.24 ! [V_b_2,V_a_2,T_b] : % 166.23/166.24 ( class_Rings_Oring__1(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Nats__mult,axiom, % 166.23/166.24 ! [V_b_2,V_a_2,T_b] : % 166.23/166.24 ( class_Rings_Osemiring__1(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Inf__fin_Osingleton,axiom, % 166.23/166.24 ! [V_x_2,T_b] : % 166.23/166.24 ( class_Lattices_Olattice(T_b) % 166.23/166.24 => 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 ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_greaterThanAtMost__empty,axiom, % 166.23/166.24 ! [V_k_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Oorder(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 166.23/166.24 => 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)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 166.23/166.24 ! [V_l_2,V_k_2,T_b] : % 166.23/166.24 ( class_Orderings_Oorder(T_b) % 166.23/166.24 => ( 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) % 166.23/166.24 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_greaterThanAtMost__empty__iff,axiom, % 166.23/166.24 ! [V_l_2,V_k_2,T_b] : % 166.23/166.24 ( class_Orderings_Oorder(T_b) % 166.23/166.24 => ( 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)) % 166.23/166.24 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_ivl__disj__un_I20_J,axiom, % 166.23/166.24 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 166.23/166.24 => 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) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_ivl__disj__int_I14_J,axiom, % 166.23/166.24 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Oorder(T_b) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 166.23/166.24 ! [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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__le__cancel__left__pos,axiom, % 166.23/166.24 ! [V_b_2,V_a_2,V_c_2,T_b] : % 166.23/166.24 ( class_Rings_Olinordered__ring__strict(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__le__cancel__left__neg,axiom, % 166.23/166.24 ! [V_b_2,V_a_2,V_c_2,T_b] : % 166.23/166.24 ( class_Rings_Olinordered__ring__strict(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__strict__mono,axiom, % 166.23/166.24 ! [V_d,V_c,V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => 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))) ) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__strict__mono_H,axiom, % 166.23/166.24 ! [V_d,V_c,V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => 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))) ) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__less__le__imp__less,axiom, % 166.23/166.24 ! [V_d,V_c,V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => 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))) ) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__le__less__imp__less,axiom, % 166.23/166.24 ! [V_d,V_c,V_b,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => 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))) ) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__right__less__imp__less,axiom, % 166.23/166.24 ! [V_b,V_c,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring(T_a) % 166.23/166.24 => ( 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))) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__less__imp__less__right,axiom, % 166.23/166.24 ! [V_b,V_c,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( 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))) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__left__less__imp__less,axiom, % 166.23/166.24 ! [V_b,V_a,V_c,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring(T_a) % 166.23/166.24 => ( 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))) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__less__imp__less__left,axiom, % 166.23/166.24 ! [V_b,V_a,V_c,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( 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))) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__right__le__imp__le,axiom, % 166.23/166.24 ! [V_b,V_c,V_a,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( 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))) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__left__le__imp__le,axiom, % 166.23/166.24 ! [V_b,V_a,V_c,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__strict(T_a) % 166.23/166.24 => ( 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))) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_sum__squares__ge__zero,axiom, % 166.23/166.24 ! [V_y,V_x,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__ring(T_a) % 166.23/166.24 => 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)))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_sum__squares__le__zero__iff,axiom, % 166.23/166.24 ! [V_y_2,V_x_2,T_b] : % 166.23/166.24 ( class_Rings_Olinordered__ring__strict(T_b) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.24 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_not__sum__squares__lt__zero,axiom, % 166.23/166.24 ! [V_y,V_x,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__ring(T_a) % 166.23/166.24 => ~ 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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_sum__squares__gt__zero__iff,axiom, % 166.23/166.24 ! [V_y_2,V_x_2,T_b] : % 166.23/166.24 ( class_Rings_Olinordered__ring__strict(T_b) % 166.23/166.24 => ( 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)))) % 166.23/166.24 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.24 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__right__le__one__le,axiom, % 166.23/166.24 ! [V_y,V_x,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 166.23/166.24 => 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)) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__left__le__one__le,axiom, % 166.23/166.24 ! [V_y,V_x,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 166.23/166.24 => 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)) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_le__add__iff2,axiom, % 166.23/166.24 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 166.23/166.24 ( class_Rings_Oordered__ring(T_b) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_le__add__iff1,axiom, % 166.23/166.24 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 166.23/166.24 ( class_Rings_Oordered__ring(T_b) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> 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)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_less__add__iff2,axiom, % 166.23/166.24 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 166.23/166.24 ( class_Rings_Oordered__ring(T_b) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_less__add__iff1,axiom, % 166.23/166.24 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 166.23/166.24 ( class_Rings_Oordered__ring(T_b) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> 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)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_one__less__mult,axiom, % 166.23/166.24 ! [V_m,V_n] : % 166.23/166.24 ( 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)) % 166.23/166.24 => ( 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)) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_n__less__n__mult__m,axiom, % 166.23/166.24 ! [V_m,V_n] : % 166.23/166.24 ( 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)) % 166.23/166.24 => ( 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)) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_n__less__m__mult__n,axiom, % 166.23/166.24 ! [V_m,V_n] : % 166.23/166.24 ( 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)) % 166.23/166.24 => ( 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)) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_one__le__mult__iff,axiom, % 166.23/166.24 ! [V_n_2,V_m_2] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> ( 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)) % 166.23/166.24 & 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)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__le__cancel1,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__le__cancel2,axiom, % 166.23/166.24 ! [V_n_2,V_k_2,V_m_2] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_psubset__card__mono,axiom, % 166.23/166.24 ! [V_A_2,V_B_2,T_b] : % 166.23/166.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_sup__Inf__absorb,axiom, % 166.23/166.24 ! [V_a_2,V_A_2,T_b] : % 166.23/166.24 ( class_Lattices_Olattice(T_b) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.24 => 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 ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Inf__fin_Oin__idem,axiom, % 166.23/166.24 ! [V_x_2,V_A_2,T_b] : % 166.23/166.24 ( class_Lattices_Olattice(T_b) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.24 => 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) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_fold__image__distrib,axiom, % 166.23/166.24 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 166.23/166.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => 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)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_convex__bound__le,axiom, % 166.23/166.24 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__1(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 166.23/166.24 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 166.23/166.24 => 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)) ) ) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_card__psubset,axiom, % 166.23/166.24 ! [V_A_2,V_B_2,T_b] : % 166.23/166.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.24 => ( 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))) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_fold__image__insert,axiom, % 166.23/166.24 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] : % 166.23/166.24 ( class_Groups_Oab__semigroup__mult(T_c) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.24 => 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)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_ivl__disj__un_I22_J,axiom, % 166.23/166.24 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 166.23/166.24 => 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) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_ivl__disj__int_I16_J,axiom, % 166.23/166.24 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Oorder(T_b) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_mult__eq__if,axiom, % 166.23/166.24 ! [V_n,V_m] : % 166.23/166.24 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.24 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.23/166.24 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.24 => 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)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Inf__fin_Oinsert__idem,axiom, % 166.23/166.24 ! [V_x_2,V_A_2,T_b] : % 166.23/166.24 ( class_Lattices_Olattice(T_b) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.24 => 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)) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Inf__fin_Osubset__idem,axiom, % 166.23/166.24 ! [V_B_2,V_A_2,T_b] : % 166.23/166.24 ( class_Lattices_Olattice(T_b) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.24 => 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) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Inf__fin_Ounion__idem,axiom, % 166.23/166.24 ! [V_B_2,V_A_2,T_b] : % 166.23/166.24 ( class_Lattices_Olattice(T_b) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.24 => 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)) ) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Inf__le__Sup,axiom, % 166.23/166.24 ! [V_A_2,T_b] : % 166.23/166.24 ( class_Lattices_Olattice(T_b) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_convex__bound__lt,axiom, % 166.23/166.24 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 166.23/166.24 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 166.23/166.24 => 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)) ) ) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_psubset__insert__iff,axiom, % 166.23/166.24 ! [V_B_2,V_x_2,V_A_2,T_b] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 166.23/166.24 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 166.23/166.24 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.24 => 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)) ) % 166.23/166.24 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_fold__image__Un__Int,axiom, % 166.23/166.24 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.24 => 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))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_fold__image__reindex,axiom, % 166.23/166.24 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] : % 166.23/166.24 ( class_Groups_Oab__semigroup__mult(T_d) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2) % 166.23/166.24 => 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) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Inf__fin_Oinsert,axiom, % 166.23/166.24 ! [V_x_2,V_A_2,T_b] : % 166.23/166.24 ( class_Lattices_Olattice(T_b) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.24 => 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)) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Inf__fin_Oinsert__remove,axiom, % 166.23/166.24 ! [V_x_2,V_A_2,T_b] : % 166.23/166.24 ( class_Lattices_Olattice(T_b) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( ( hAPP(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)) % 166.23/166.24 => 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 ) % 166.23/166.24 & ( hAPP(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)) % 166.23/166.24 => 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)))))) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Inf__fin_Ounion__inter,axiom, % 166.23/166.24 ! [V_B_2,V_A_2,T_b] : % 166.23/166.24 ( class_Lattices_Olattice(T_b) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.24 => ( 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)) % 166.23/166.24 => 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)) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 166.23/166.24 ! [V_B_2,V_A_2,T_b] : % 166.23/166.24 ( class_Lattices_Olattice(T_b) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.24 => ( 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)) % 166.23/166.24 => 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)) ) ) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_setsum__head,axiom, % 166.23/166.24 ! [V_Pa_2,V_n_2,V_m_2,T_b] : % 166.23/166.24 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_Pa_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__less__add__iff2,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__less__add__iff1,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> 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)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__eq__add__iff2,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 166.23/166.24 => ( 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) % 166.23/166.24 <=> 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) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__diff__add__eq2,axiom, % 166.23/166.24 ! [V_n,V_m,V_u,V_j,V_i] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__le__add__iff2,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__eq__add__iff1,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 166.23/166.24 => ( 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) % 166.23/166.24 <=> 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 ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__diff__add__eq1,axiom, % 166.23/166.24 ! [V_n,V_m,V_u,V_i,V_j] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 166.23/166.24 => 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) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__mult__assoc,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__mult__commute,axiom, % 166.23/166.24 ! [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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__mult__eq__cancel__disj,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.24 ( 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) % 166.23/166.24 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.24 | V_m_2 = V_n_2 ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_left__add__mult__distrib,axiom, % 166.23/166.24 ! [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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__mult__less__cancel1,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__mult__eq__cancel1,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 166.23/166.24 => ( 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) % 166.23/166.24 <=> V_m_2 = V_n_2 ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__mult__le__cancel1,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_k_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_nat__le__add__iff1,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> 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)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_arith__series__nat,axiom, % 166.23/166.24 ! [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)))) ). % 166.23/166.24 % 166.23/166.24 fof(fact_fold__image__Un__one,axiom, % 166.23/166.24 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 166.23/166.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 166.23/166.24 => ( ! [B_x] : % 166.23/166.24 ( 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))) % 166.23/166.24 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 166.23/166.24 => 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)) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Inf__fin_Oclosed,axiom, % 166.23/166.24 ! [V_A_2,T_b] : % 166.23/166.24 ( class_Lattices_Olattice(T_b) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.24 => ( ! [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)))))) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_ivl__disj__un_I19_J,axiom, % 166.23/166.24 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 166.23/166.24 => 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) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_ivl__disj__un_I4_J,axiom, % 166.23/166.24 ! [V_u_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 166.23/166.24 => 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) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_gauss__sum,axiom, % 166.23/166.24 ! [V_n_2,T_b] : % 166.23/166.24 ( class_Rings_Ocomm__semiring__1(T_b) % 166.23/166.24 => 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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Inf__fin_Ohom__commute,axiom, % 166.23/166.24 ! [V_N_2,V_h_2,T_b] : % 166.23/166.24 ( class_Lattices_Olattice(T_b) % 166.23/166.24 => ( ! [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)) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 166.23/166.24 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.24 => 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)) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_finite__greaterThanLessThan,axiom, % 166.23/166.24 ! [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))) ). % 166.23/166.24 % 166.23/166.24 fof(fact_finite__lessThan,axiom, % 166.23/166.24 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 166.23/166.24 % 166.23/166.24 fof(fact_lessThan__eq__iff,axiom, % 166.23/166.24 ! [V_y_2,V_x_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.24 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2) % 166.23/166.24 <=> V_x_2 = V_y_2 ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__eq__iff,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,T_b] : % 166.23/166.24 ( class_Nat_Osemiring__char__0(T_b) % 166.23/166.24 => ( 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) % 166.23/166.24 <=> V_m_2 = V_n_2 ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_int__eq__0__conv,axiom, % 166.23/166.24 ! [V_n_2] : % 166.23/166.24 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.24 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_int__0,axiom, % 166.23/166.24 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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_int__le__0__conv,axiom, % 166.23/166.24 ! [V_n_2] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zless__iff__Suc__zadd,axiom, % 166.23/166.24 ! [V_z_2,V_w_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 166.23/166.24 <=> ? [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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_int__Suc,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zless__int,axiom, % 166.23/166.24 ! [V_n_2,V_m_2] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zadd__int__left,axiom, % 166.23/166.24 ! [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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zadd__int,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zle__int,axiom, % 166.23/166.24 ! [V_n_2,V_m_2] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_int__mult,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zmult__int,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_int__1,axiom, % 166.23/166.24 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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_lessThan__0,axiom, % 166.23/166.24 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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_int__setsum,axiom, % 166.23/166.24 ! [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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_card__lessThan,axiom, % 166.23/166.24 ! [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 ). % 166.23/166.24 % 166.23/166.24 fof(fact_int__Suc0__eq__1,axiom, % 166.23/166.24 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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zmult__zless__mono2__lemma,axiom, % 166.23/166.24 ! [V_k,V_j,V_i] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zero__less__int__conv,axiom, % 166.23/166.24 ! [V_n_2] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zero__le__imp__of__nat,axiom, % 166.23/166.24 ! [V_m,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.24 => 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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__0__le__iff,axiom, % 166.23/166.24 ! [V_n,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.24 => 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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zdiff__int,axiom, % 166.23/166.24 ! [V_m,V_n] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__less__0__iff,axiom, % 166.23/166.24 ! [V_m,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.24 => ~ 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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__0,axiom, % 166.23/166.24 ! [T_a] : % 166.23/166.24 ( class_Rings_Osemiring__1(T_a) % 166.23/166.24 => 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) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__less__imp__less,axiom, % 166.23/166.24 ! [V_n,V_m,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.24 => ( 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))) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_less__imp__of__nat__less,axiom, % 166.23/166.24 ! [V_n,V_m,T_a] : % 166.23/166.24 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__less__iff,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,T_b] : % 166.23/166.24 ( class_Rings_Olinordered__semidom(T_b) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__le__iff,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,T_b] : % 166.23/166.24 ( class_Rings_Olinordered__semidom(T_b) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__add,axiom, % 166.23/166.24 ! [V_n,V_m,T_a] : % 166.23/166.24 ( class_Rings_Osemiring__1(T_a) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__mult,axiom, % 166.23/166.24 ! [V_n,V_m,T_a] : % 166.23/166.24 ( class_Rings_Osemiring__1(T_a) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__1,axiom, % 166.23/166.24 ! [T_a] : % 166.23/166.24 ( class_Rings_Osemiring__1(T_a) % 166.23/166.24 => 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) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_Ints__of__nat,axiom, % 166.23/166.24 ! [V_n_2,T_b] : % 166.23/166.24 ( class_Rings_Oring__1(T_b) % 166.23/166.24 => 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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__in__Nats,axiom, % 166.23/166.24 ! [V_n_2,T_b] : % 166.23/166.24 ( class_Rings_Osemiring__1(T_b) % 166.23/166.24 => 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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__setsum,axiom, % 166.23/166.24 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.24 ( class_Rings_Osemiring__1(T_b) % 166.23/166.24 => 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) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_lessThan__Suc,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_greaterThanLessThan__empty,axiom, % 166.23/166.24 ! [V_k_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Oorder(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 166.23/166.24 => 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)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_lessThan__iff,axiom, % 166.23/166.24 ! [V_k_2,V_i_2,T_b] : % 166.23/166.24 ( class_Orderings_Oord(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_lessThan__subset__iff,axiom, % 166.23/166.24 ! [V_y_2,V_x_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__Suc,axiom, % 166.23/166.24 ! [V_m,T_a] : % 166.23/166.24 ( class_Rings_Osemiring__1(T_a) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__diff,axiom, % 166.23/166.24 ! [V_m,V_n,T_a] : % 166.23/166.24 ( class_Rings_Oring__1(T_a) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 166.23/166.24 => 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)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_lessThan__strict__subset__iff,axiom, % 166.23/166.24 ! [V_n_2,V_m_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_arith__series__general,axiom, % 166.23/166.24 ! [V_n_2,V_d_2,V_a_2,T_b] : % 166.23/166.24 ( class_Rings_Ocomm__semiring__1(T_b) % 166.23/166.24 => 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)))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_setsum__constant,axiom, % 166.23/166.24 ! [V_A_2,V_y_2,T_c,T_b] : % 166.23/166.24 ( class_Rings_Osemiring__1(T_b) % 166.23/166.24 => 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) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_of__nat__0__less__iff,axiom, % 166.23/166.24 ! [V_n_2,T_b] : % 166.23/166.24 ( class_Rings_Olinordered__semidom(T_b) % 166.23/166.24 => ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_setsum__lessThan__Suc,axiom, % 166.23/166.24 ! [V_n_2,V_f_2,T_b] : % 166.23/166.24 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_ivl__disj__int_I12_J,axiom, % 166.23/166.24 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Oorder(T_b) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_ivl__disj__int_I13_J,axiom, % 166.23/166.24 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Oorder(T_b) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_card__greaterThanLessThan,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_single__Diff__lessThan,axiom, % 166.23/166.24 ! [V_k_2,T_b] : % 166.23/166.24 ( class_Orderings_Oorder(T_b) % 166.23/166.24 => 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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_ivl__disj__int_I10_J,axiom, % 166.23/166.24 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Oorder(T_b) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_ivl__disj__int_I4_J,axiom, % 166.23/166.24 ! [V_u_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Oorder(T_b) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 166.23/166.24 ! [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))) ). % 166.23/166.24 % 166.23/166.24 fof(fact_ivl__disj__un_I16_J,axiom, % 166.23/166.24 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 166.23/166.24 => 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) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 166.23/166.24 ! [V_n_2,T_b] : % 166.23/166.24 ( class_Rings_Osemiring__1(T_b) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zdiff__int__split,axiom, % 166.23/166.24 ! [V_y_2,V_x_2,V_Pa_2] : % 166.23/166.24 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2)))) % 166.23/166.24 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 166.23/166.24 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) ) % 166.23/166.24 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 166.23/166.24 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_setsum__bounded,axiom, % 166.23/166.24 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] : % 166.23/166.24 ( ( class_Groups_Oordered__ab__semigroup__add(T_c) % 166.23/166.24 & class_Rings_Osemiring__1(T_c) ) % 166.23/166.24 => ( ! [B_i] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) ) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_sum__diff__distrib,axiom, % 166.23/166.24 ! [V_n_2,V_Pa_2,V_Qa_2] : % 166.23/166.24 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Qa_2,B_x)),hAPP(V_Pa_2,B_x))) % 166.23/166.24 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Pa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Qa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_Pa_2)),V_Qa_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_ivl__disj__un_I7_J,axiom, % 166.23/166.24 ! [V_u_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 166.23/166.24 => 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) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_ivl__disj__un_I18_J,axiom, % 166.23/166.24 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 166.23/166.24 => 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) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_setsum__strict__mono,axiom, % 166.23/166.24 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 166.23/166.24 ( ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.24 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) ) % 166.23/166.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.24 => ( ! [B_x] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 166.23/166.24 => 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))) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_finite__atLeastLessThan,axiom, % 166.23/166.24 ! [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))) ). % 166.23/166.24 % 166.23/166.24 fof(fact_finite__atMost,axiom, % 166.23/166.24 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 166.23/166.24 % 166.23/166.24 fof(fact_int__less__0__conv,axiom, % 166.23/166.24 ! [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))) ). % 166.23/166.24 % 166.23/166.24 fof(fact_int__int__eq,axiom, % 166.23/166.24 ! [V_n_2,V_m_2] : % 166.23/166.24 ( 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) % 166.23/166.24 <=> V_m_2 = V_n_2 ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zero__zle__int,axiom, % 166.23/166.24 ! [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))) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zle__iff__zadd,axiom, % 166.23/166.24 ! [V_z_2,V_w_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 166.23/166.24 <=> ? [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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 166.23/166.24 ! [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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 166.23/166.24 ! [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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_image__add__int__atLeastLessThan,axiom, % 166.23/166.24 ! [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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_int__0__neq__1,axiom, % 166.23/166.24 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 166.23/166.24 % 166.23/166.24 fof(fact_odd__nonzero,axiom, % 166.23/166.24 ! [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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 166.23/166.24 ! [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))) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zadd__left__mono,axiom, % 166.23/166.24 ! [V_k,V_j,V_i] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 166.23/166.24 => 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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zle__antisym,axiom, % 166.23/166.24 ! [V_w,V_z] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 166.23/166.24 => V_z = V_w ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zle__trans,axiom, % 166.23/166.24 ! [V_k,V_j,V_i] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 166.23/166.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zle__linear,axiom, % 166.23/166.24 ! [V_w,V_z] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 166.23/166.24 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zle__refl,axiom, % 166.23/166.24 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zadd__assoc,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zadd__left__commute,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zadd__commute,axiom, % 166.23/166.24 ! [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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zadd__0__right,axiom, % 166.23/166.24 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 166.23/166.24 % 166.23/166.24 fof(fact_zadd__0,axiom, % 166.23/166.24 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 166.23/166.24 % 166.23/166.24 fof(fact_atMost__eq__iff,axiom, % 166.23/166.24 ! [V_y_2,V_x_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.24 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2) % 166.23/166.24 <=> V_x_2 = V_y_2 ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zmult__1,axiom, % 166.23/166.24 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 166.23/166.24 % 166.23/166.24 fof(fact_zmult__1__right,axiom, % 166.23/166.24 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 166.23/166.24 % 166.23/166.24 fof(fact_zmult__commute,axiom, % 166.23/166.24 ! [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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zmult__assoc,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zadd__zmult__distrib,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zadd__zmult__distrib2,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zdiff__zmult__distrib,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zdiff__zmult__distrib2,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_less__bin__lemma,axiom, % 166.23/166.24 ! [V_l_2,V_k_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 166.23/166.24 <=> 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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zadd__strict__right__mono,axiom, % 166.23/166.24 ! [V_k,V_j,V_i] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 166.23/166.24 => 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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zless__linear,axiom, % 166.23/166.24 ! [V_y,V_x] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 166.23/166.24 | V_x = V_y % 166.23/166.24 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zmult__zless__mono2,axiom, % 166.23/166.24 ! [V_k,V_j,V_i] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zless__le,axiom, % 166.23/166.24 ! [V_w_2,V_z_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 166.23/166.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 166.23/166.24 & V_z_2 != V_w_2 ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zadd__zless__mono,axiom, % 166.23/166.24 ! [V_z,V_z_H,V_w,V_w_H] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 166.23/166.24 => 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))) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_simp__from__to,axiom, % 166.23/166.24 ! [V_i_2,V_j_2] : % 166.23/166.24 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 166.23/166.24 => 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)) ) % 166.23/166.24 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 166.23/166.24 => 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)) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_odd__less__0,axiom, % 166.23/166.24 ! [V_z_2] : % 166.23/166.24 ( 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))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zless__add1__eq,axiom, % 166.23/166.24 ! [V_z_2,V_w_2] : % 166.23/166.24 ( 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)))) % 166.23/166.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 166.23/166.24 | V_w_2 = V_z_2 ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 166.23/166.24 ! [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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_pos__zmult__eq__1__iff,axiom, % 166.23/166.24 ! [V_n_2,V_m_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 166.23/166.24 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 166.23/166.24 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 166.23/166.24 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_int__0__less__1,axiom, % 166.23/166.24 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))) ). % 166.23/166.24 % 166.23/166.24 fof(fact_int__one__le__iff__zero__less,axiom, % 166.23/166.24 ! [V_z_2] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zless__imp__add1__zle,axiom, % 166.23/166.24 ! [V_z,V_w] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 166.23/166.24 => 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)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_add1__zle__eq,axiom, % 166.23/166.24 ! [V_z_2,V_w_2] : % 166.23/166.24 ( 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)) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zle__add1__eq__le,axiom, % 166.23/166.24 ! [V_z_2,V_w_2] : % 166.23/166.24 ( 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)))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_le__imp__0__less,axiom, % 166.23/166.24 ! [V_z] : % 166.23/166.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 166.23/166.24 => 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))) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_zle__diff1__eq,axiom, % 166.23/166.24 ! [V_z_2,V_w_2] : % 166.23/166.24 ( 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)))) % 166.23/166.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_atLeastLessThan0,axiom, % 166.23/166.24 ! [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)) ). % 166.23/166.24 % 166.23/166.24 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 166.23/166.24 ! [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) ). % 166.23/166.24 % 166.23/166.24 fof(fact_atLeastLessThan__eq__iff,axiom, % 166.23/166.24 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 166.23/166.24 => ( 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) % 166.23/166.24 <=> ( V_a_2 = V_c_2 % 166.23/166.24 & V_b_2 = V_d_2 ) ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 166.23/166.24 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.24 => ( 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) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 166.23/166.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 166.23/166.24 => V_a_2 = V_c_2 ) ) ) ) ). % 166.23/166.24 % 166.23/166.24 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 166.23/166.24 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.24 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( 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) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 166.23/166.25 => V_b_2 = V_d_2 ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_all__nat__less__eq,axiom, % 166.23/166.25 ! [V_Pa_2,V_n_2] : % 166.23/166.25 ( ! [B_m] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 166.23/166.25 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 166.23/166.25 <=> ! [B_x] : % 166.23/166.25 ( 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))) % 166.23/166.25 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ex__nat__less__eq,axiom, % 166.23/166.25 ! [V_Pa_2,V_n_2] : % 166.23/166.25 ( ? [B_m] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 166.23/166.25 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 166.23/166.25 <=> ? [B_x] : % 166.23/166.25 ( 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))) % 166.23/166.25 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeastLessThan__add__Un,axiom, % 166.23/166.25 ! [V_k_2,V_j_2,V_i_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 166.23/166.25 => 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))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 166.23/166.25 ! [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) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeast0LessThan,axiom, % 166.23/166.25 ! [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) ). % 166.23/166.25 % 166.23/166.25 fof(fact_subset__card__intvl__is__intvl,axiom, % 166.23/166.25 ! [V_k_2,V_A_2] : % 166.23/166.25 ( 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))))) % 166.23/166.25 => 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))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeastLessThan__singleton,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_card__atLeastLessThan,axiom, % 166.23/166.25 ! [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) ). % 166.23/166.25 % 166.23/166.25 fof(fact_image__Suc__atLeastLessThan,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeastLessThan__empty,axiom, % 166.23/166.25 ! [V_a_2,V_b_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeastLessThan__empty__iff,axiom, % 166.23/166.25 ! [V_b_2,V_a_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => ( 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)) % 166.23/166.25 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeastLessThan__empty__iff2,axiom, % 166.23/166.25 ! [V_b_2,V_a_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => ( 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) % 166.23/166.25 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeastLessThan__subset__iff,axiom, % 166.23/166.25 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( 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))) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 166.23/166.25 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 166.23/166.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 166.23/166.25 ! [V_n_2,V_m_2,V_f_2,T_b] : % 166.23/166.25 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I17_J,axiom, % 166.23/166.25 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 166.23/166.25 => 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) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 166.23/166.25 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 166.23/166.25 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__diff,axiom, % 166.23/166.25 ! [V_m_2,V_n_2,V_i_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__int_I11_J,axiom, % 166.23/166.25 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeast0AtMost,axiom, % 166.23/166.25 ! [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) ). % 166.23/166.25 % 166.23/166.25 fof(fact_image__add__atLeastLessThan,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_lessThan__Suc__atMost,axiom, % 166.23/166.25 ! [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) ). % 166.23/166.25 % 166.23/166.25 fof(fact_card__atMost,axiom, % 166.23/166.25 ! [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) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atMost__0,axiom, % 166.23/166.25 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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atMost__Suc,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atMost__iff,axiom, % 166.23/166.25 ! [V_k_2,V_i_2,T_b] : % 166.23/166.25 ( class_Orderings_Oord(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atMost__subset__iff,axiom, % 166.23/166.25 ! [V_y_2,V_x_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => ( 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))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__add__nat__ivl,axiom, % 166.23/166.25 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 166.23/166.25 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 166.23/166.25 => 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)) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__diff__nat__ivl,axiom, % 166.23/166.25 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 166.23/166.25 ( class_Groups_Oab__group__add(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 166.23/166.25 => 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)) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 166.23/166.25 ! [V_i_2,V_inc_2,T_b] : % 166.23/166.25 ( class_Rings_Osemiring__1(T_b) % 166.23/166.25 => 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 ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 166.23/166.25 ! [V_i_2,V_n_2,V_inc_2,T_b] : % 166.23/166.25 ( class_Rings_Osemiring__1(T_b) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeastLessThanSuc,axiom, % 166.23/166.25 ! [V_n_2,V_m_2] : % 166.23/166.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.25 => 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)) ) % 166.23/166.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I21_J,axiom, % 166.23/166.25 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 166.23/166.25 => 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) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__int_I15_J,axiom, % 166.23/166.25 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I8_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__int_I2_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__int_I9_J,axiom, % 166.23/166.25 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 166.23/166.25 ! [V_k_2,V_f_2,T_b] : % 166.23/166.25 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.25 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__head__upt__Suc,axiom, % 166.23/166.25 ! [V_f_2,V_n_2,V_m_2,T_b] : % 166.23/166.25 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 166.23/166.25 => 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))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__atMost__Suc,axiom, % 166.23/166.25 ! [V_n_2,V_f_2,T_b] : % 166.23/166.25 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.25 => 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))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I9_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__int_I3_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__int_I1_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__op__ivl__Suc,axiom, % 166.23/166.25 ! [V_f_2,V_m_2,V_n_2,T_b] : % 166.23/166.25 ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 166.23/166.25 => 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) ) % 166.23/166.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 166.23/166.25 => 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)) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I15_J,axiom, % 166.23/166.25 ! [V_u_2,V_m_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 166.23/166.25 => 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) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 166.23/166.25 ! [V_x_2,V_y_2,V_c_2] : % 166.23/166.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 166.23/166.25 => 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)) ) % 166.23/166.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 166.23/166.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 166.23/166.25 => 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))) ) % 166.23/166.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 166.23/166.25 => 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)) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I6_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I2_J,axiom, % 166.23/166.25 ! [V_u_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => 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) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I3_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I10_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_self__quotient__aux1,axiom, % 166.23/166.25 ! [V_q,V_r,V_a] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.23/166.25 => ( 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)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_self__quotient__aux2,axiom, % 166.23/166.25 ! [V_q,V_r,V_a] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.23/166.25 => ( 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)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_zdiv__mono2__neg__lemma,axiom, % 166.23/166.25 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 166.23/166.25 ( 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) % 166.23/166.25 => ( 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))) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_unique__quotient__lemma__neg,axiom, % 166.23/166.25 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_zdiv__mono2__lemma,axiom, % 166.23/166.25 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 166.23/166.25 ( 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) % 166.23/166.25 => ( 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))) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_unique__quotient__lemma,axiom, % 166.23/166.25 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_q__neg__lemma,axiom, % 166.23/166.25 ! [V_r_H,V_q_H,V_b_H] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_finite__atLeastAtMost__int,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_finite__atLeastLessThan__int,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_finite__greaterThanLessThan__int,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_finite__greaterThanAtMost__int,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_q__pos__lemma,axiom, % 166.23/166.25 ! [V_r_H,V_q_H,V_b_H] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 166.23/166.25 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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 166.23/166.25 ! [V_A_2] : % 166.23/166.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 166.23/166.25 <=> 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))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 166.23/166.25 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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 166.23/166.25 ! [V_y_2,V_x_2] : % 166.23/166.25 ( 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))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 166.23/166.25 ! [V_B_2,V_A_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.25 <=> 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))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 166.23/166.25 ! [V_y_2,V_x_2] : % 166.23/166.25 ( 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) % 166.23/166.25 <=> V_x_2 = V_y_2 ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 166.23/166.25 ! [V_A_2,V_x_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 166.23/166.25 <=> 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))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 166.23/166.25 ! [V_B_2,V_A_2] : % 166.23/166.25 ( V_A_2 = V_B_2 % 166.23/166.25 <=> 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) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 166.23/166.25 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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 166.23/166.25 ! [V_B_2,V_A_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.25 <=> 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))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 166.23/166.25 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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 166.23/166.25 ! [V_y,V_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.23/166.25 => 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))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 166.23/166.25 ! [V_Pa_2] : % 166.23/166.25 ( ! [B_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 166.23/166.25 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.23/166.25 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 166.23/166.25 ! [V_Pa_2] : % 166.23/166.25 ( ? [B_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 166.23/166.25 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.23/166.25 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 166.23/166.25 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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 166.23/166.25 ! [V_y,V_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.23/166.25 => 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))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 166.23/166.25 ! [V_y_2,V_x_2] : % 166.23/166.25 ( 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))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_bset_I6_J,axiom, % 166.23/166.25 ! [V_t_2,V_B_2,V_D_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 166.23/166.25 => ! [B_x] : % 166.23/166.25 ( ! [B_xa] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ! [B_xb] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 166.23/166.25 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 166.23/166.25 => 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)) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_aset_I8_J,axiom, % 166.23/166.25 ! [V_t_2,V_A_2,V_D_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 166.23/166.25 => ! [B_x] : % 166.23/166.25 ( ! [B_xa] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ! [B_xb] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 166.23/166.25 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 166.23/166.25 => 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))) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_bset_I8_J,axiom, % 166.23/166.25 ! [V_B_2,V_t_2,V_D_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 166.23/166.25 => ( 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)) % 166.23/166.25 => ! [B_x] : % 166.23/166.25 ( ! [B_xa] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ! [B_xb] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 166.23/166.25 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 166.23/166.25 => 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))) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_aset_I6_J,axiom, % 166.23/166.25 ! [V_A_2,V_t_2,V_D_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 166.23/166.25 => ( 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)) % 166.23/166.25 => ! [B_x] : % 166.23/166.25 ( ! [B_xa] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ! [B_xb] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 166.23/166.25 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 166.23/166.25 => 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)) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_periodic__finite__ex,axiom, % 166.23/166.25 ! [V_Pa_2,V_d_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 166.23/166.25 => ( ! [B_x,B_k] : % 166.23/166.25 ( hBOOL(hAPP(V_Pa_2,B_x)) % 166.23/166.25 <=> hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) ) % 166.23/166.25 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 166.23/166.25 <=> ? [B_x] : % 166.23/166.25 ( 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))) % 166.23/166.25 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_bset_I3_J,axiom, % 166.23/166.25 ! [V_B_2,V_t_2,V_D_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 166.23/166.25 => ( 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)) % 166.23/166.25 => ( ! [B_x] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ! [B_xa] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 166.23/166.25 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 166.23/166.25 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_aset_I4_J,axiom, % 166.23/166.25 ! [V_A_2,V_t_2,V_D_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 166.23/166.25 => ! [B_x] : % 166.23/166.25 ( ! [B_xa] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ! [B_xb] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 166.23/166.25 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 166.23/166.25 => ( B_x != V_t_2 % 166.23/166.25 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_bset_I4_J,axiom, % 166.23/166.25 ! [V_B_2,V_t_2,V_D_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 166.23/166.25 => ! [B_x] : % 166.23/166.25 ( ! [B_xa] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ! [B_xb] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 166.23/166.25 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 166.23/166.25 => ( B_x != V_t_2 % 166.23/166.25 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_bset_I7_J,axiom, % 166.23/166.25 ! [V_B_2,V_t_2,V_D_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 166.23/166.25 => ! [B_x] : % 166.23/166.25 ( ! [B_xa] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ! [B_xb] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 166.23/166.25 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 166.23/166.25 => 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))) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_aset_I5_J,axiom, % 166.23/166.25 ! [V_A_2,V_t_2,V_D_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 166.23/166.25 => ! [B_x] : % 166.23/166.25 ( ! [B_xa] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ! [B_xb] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 166.23/166.25 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 166.23/166.25 => 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)) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_aset_I3_J,axiom, % 166.23/166.25 ! [V_A_2,V_t_2,V_D_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 166.23/166.25 => ( 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)) % 166.23/166.25 => ( ! [B_x] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ! [B_xa] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 166.23/166.25 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 166.23/166.25 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_bset_I5_J,axiom, % 166.23/166.25 ! [V_t_2,V_B_2,V_D_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 166.23/166.25 => ! [B_x] : % 166.23/166.25 ( ! [B_xa] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ! [B_xb] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 166.23/166.25 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 166.23/166.25 => 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)) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_aset_I7_J,axiom, % 166.23/166.25 ! [V_t_2,V_A_2,V_D_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 166.23/166.25 => ! [B_x] : % 166.23/166.25 ( ! [B_xa] : % 166.23/166.25 ( 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))) % 166.23/166.25 => ! [B_xb] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 166.23/166.25 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 166.23/166.25 => 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))) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_tsub__def,axiom, % 166.23/166.25 ! [V_x,V_y] : % 166.23/166.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 166.23/166.25 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 166.23/166.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 166.23/166.25 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_image__atLeastZeroLessThan__int,axiom, % 166.23/166.25 ! [V_u_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 166.23/166.25 => 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))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_decr__mult__lemma,axiom, % 166.23/166.25 ! [V_k_2,V_Pa_2,V_d_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 166.23/166.25 => ( ! [B_x] : % 166.23/166.25 ( hBOOL(hAPP(V_Pa_2,B_x)) % 166.23/166.25 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 166.23/166.25 => ! [B_x] : % 166.23/166.25 ( hBOOL(hAPP(V_Pa_2,B_x)) % 166.23/166.25 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_incr__mult__lemma,axiom, % 166.23/166.25 ! [V_k_2,V_Pa_2,V_d_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 166.23/166.25 => ( ! [B_x] : % 166.23/166.25 ( hBOOL(hAPP(V_Pa_2,B_x)) % 166.23/166.25 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 166.23/166.25 => ! [B_x] : % 166.23/166.25 ( hBOOL(hAPP(V_Pa_2,B_x)) % 166.23/166.25 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_zero__less__imp__eq__int,axiom, % 166.23/166.25 ! [V_k] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 166.23/166.25 => ? [B_n] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 166.23/166.25 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__int,axiom, % 166.23/166.25 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__0,axiom, % 166.23/166.25 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 166.23/166.25 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 166.23/166.25 ! [V_y,V_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_eq__nat__nat__iff,axiom, % 166.23/166.25 ! [V_z_H_2,V_z_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 166.23/166.25 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 166.23/166.25 <=> V_z_2 = V_z_H_2 ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 166.23/166.25 ! [V_y_2,V_x_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 166.23/166.25 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 166.23/166.25 <=> V_x_2 = V_y_2 ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_all__nat,axiom, % 166.23/166.25 ! [V_Pa_2] : % 166.23/166.25 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 166.23/166.25 <=> ! [B_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 166.23/166.25 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ex__nat,axiom, % 166.23/166.25 ! [V_Pa_2] : % 166.23/166.25 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 166.23/166.25 <=> ? [B_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 166.23/166.25 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 166.23/166.25 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__set__return__embed,axiom, % 166.23/166.25 ! [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 ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 166.23/166.25 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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__0__iff,axiom, % 166.23/166.25 ! [V_i_2] : % 166.23/166.25 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__le__0,axiom, % 166.23/166.25 ! [V_z] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.25 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_zless__nat__conj,axiom, % 166.23/166.25 ! [V_z_2,V_w_2] : % 166.23/166.25 ( 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))) % 166.23/166.25 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 166.23/166.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__mono__iff,axiom, % 166.23/166.25 ! [V_w_2,V_z_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 166.23/166.25 => ( 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))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 166.23/166.25 ! [V_y_2,V_x_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 166.23/166.25 => ( 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))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__1,axiom, % 166.23/166.25 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__0__le,axiom, % 166.23/166.25 ! [V_z] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 166.23/166.25 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_int__eq__iff,axiom, % 166.23/166.25 ! [V_z_2,V_m_2] : % 166.23/166.25 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 166.23/166.25 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 166.23/166.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_int__nat__eq,axiom, % 166.23/166.25 ! [V_z] : % 166.23/166.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 166.23/166.25 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 166.23/166.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_zless__nat__eq__int__zless,axiom, % 166.23/166.25 ! [V_z_2,V_m_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 166.23/166.25 <=> 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 166.23/166.25 ! [V_A_2,V_f_2,T_b] : % 166.23/166.25 ( ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.25 & class_Groups_Ocomm__monoid__mult(T_b) ) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_card__atLeastZeroLessThan__int,axiom, % 166.23/166.25 ! [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) ). % 166.23/166.25 % 166.23/166.25 fof(fact_card__atLeastLessThan__int,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_zero__less__nat__eq,axiom, % 166.23/166.25 ! [V_z_2] : % 166.23/166.25 ( 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))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__less__eq__zless,axiom, % 166.23/166.25 ! [V_z_2,V_w_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 166.23/166.25 => ( 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))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 166.23/166.25 ! [V_y_2,V_x_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 166.23/166.25 => ( 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))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__eq__iff2,axiom, % 166.23/166.25 ! [V_w_2,V_m_2] : % 166.23/166.25 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 166.23/166.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 166.23/166.25 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 166.23/166.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 166.23/166.25 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__eq__iff,axiom, % 166.23/166.25 ! [V_m_2,V_w_2] : % 166.23/166.25 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 166.23/166.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 166.23/166.25 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 166.23/166.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 166.23/166.25 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__le__eq__zle,axiom, % 166.23/166.25 ! [V_z_2,V_w_2] : % 166.23/166.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 166.23/166.25 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 166.23/166.25 => ( 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))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_split__nat,axiom, % 166.23/166.25 ! [V_i_2,V_Pa_2] : % 166.23/166.25 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2))) % 166.23/166.25 <=> ( ! [B_n] : % 166.23/166.25 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 166.23/166.25 => hBOOL(hAPP(V_Pa_2,B_n)) ) % 166.23/166.25 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.25 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__add__distrib,axiom, % 166.23/166.25 ! [V_z_H,V_z] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 166.23/166.25 ! [V_y,V_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__mult__distrib,axiom, % 166.23/166.25 ! [V_z_H,V_z] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 166.23/166.25 ! [V_y,V_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__diff__distrib,axiom, % 166.23/166.25 ! [V_z,V_z_H] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_card__greaterThanAtMost__int,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_one__less__nat__eq,axiom, % 166.23/166.25 ! [V_z_2] : % 166.23/166.25 ( 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))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__less__iff,axiom, % 166.23/166.25 ! [V_m_2,V_w_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 166.23/166.25 <=> 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))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 166.23/166.25 ! [V_z] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 166.23/166.25 ! [V_y,V_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.23/166.25 => 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))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_tsub__eq,axiom, % 166.23/166.25 ! [V_x,V_y] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 166.23/166.25 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_card__atLeastAtMost__int,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_card__greaterThanLessThan__int,axiom, % 166.23/166.25 ! [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)))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__aux__def,axiom, % 166.23/166.25 ! [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) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__morphism__nat__int,axiom, % 166.23/166.25 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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 166.23/166.25 ! [V_n_2,V_m_2] : % 166.23/166.25 ( c_Nat__Transfer_Ois__nat(V_m_2) % 166.23/166.25 => ( c_Nat__Transfer_Ois__nat(V_n_2) % 166.23/166.25 => 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))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 166.23/166.25 ! [V_B_2,V_A_2] : % 166.23/166.25 ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => ( c_Nat__Transfer_Onat__set(V_B_2) % 166.23/166.25 => 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))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 166.23/166.25 ! [V_B_2,V_A_2] : % 166.23/166.25 ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => ( c_Nat__Transfer_Onat__set(V_B_2) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.25 <=> 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))) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 166.23/166.25 ! [V_B_2,V_A_2] : % 166.23/166.25 ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => ( c_Nat__Transfer_Onat__set(V_B_2) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.25 <=> 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))) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 166.23/166.25 ! [V_x_2,V_A_2] : % 166.23/166.25 ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 166.23/166.25 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 166.23/166.25 ! [V_y_2,V_x_2] : % 166.23/166.25 ( c_Nat__Transfer_Ois__nat(V_x_2) % 166.23/166.25 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 166.23/166.25 ! [V_B_2,V_A_2] : % 166.23/166.25 ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => ( c_Nat__Transfer_Onat__set(V_B_2) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 166.23/166.25 ! [V_B_2,V_A_2] : % 166.23/166.25 ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => ( c_Nat__Transfer_Onat__set(V_B_2) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 166.23/166.25 ! [V_B_2,V_A_2] : % 166.23/166.25 ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => ( c_Nat__Transfer_Onat__set(V_B_2) % 166.23/166.25 => ( V_A_2 = V_B_2 % 166.23/166.25 <=> 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) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 166.23/166.25 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 166.23/166.25 ! [V_y,V_x] : % 166.23/166.25 ( c_Nat__Transfer_Ois__nat(V_x) % 166.23/166.25 => ( c_Nat__Transfer_Ois__nat(V_y) % 166.23/166.25 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 166.23/166.25 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 166.23/166.25 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 166.23/166.25 ! [V_y,V_x] : % 166.23/166.25 ( c_Nat__Transfer_Ois__nat(V_x) % 166.23/166.25 => ( c_Nat__Transfer_Ois__nat(V_y) % 166.23/166.25 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 166.23/166.25 ! [V_y,V_x] : % 166.23/166.25 ( c_Nat__Transfer_Ois__nat(V_x) % 166.23/166.25 => ( c_Nat__Transfer_Ois__nat(V_y) % 166.23/166.25 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 166.23/166.25 ! [V_A_2,V_x_2] : % 166.23/166.25 ( c_Nat__Transfer_Ois__nat(V_x_2) % 166.23/166.25 => ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 166.23/166.25 <=> 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))) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 166.23/166.25 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__set__def,axiom, % 166.23/166.25 ! [V_S_2] : % 166.23/166.25 ( c_Nat__Transfer_Onat__set(V_S_2) % 166.23/166.25 <=> ! [B_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_is__nat__def,axiom, % 166.23/166.25 ! [V_x_2] : % 166.23/166.25 ( c_Nat__Transfer_Ois__nat(V_x_2) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 166.23/166.25 ! [V_y_2,V_x_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 166.23/166.25 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__set__return__embed,axiom, % 166.23/166.25 ! [V_A_2] : % 166.23/166.25 ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => 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 ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 166.23/166.25 ! [V_B_2,V_A_2] : % 166.23/166.25 ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => ( c_Nat__Transfer_Onat__set(V_B_2) % 166.23/166.25 => 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))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 166.23/166.25 ! [V_x_2,V_A_2] : % 166.23/166.25 ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 166.23/166.25 ! [V_f_2,V_A_2,T_b] : % 166.23/166.25 ( ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.25 & class_Groups_Ocomm__monoid__mult(T_b) ) % 166.23/166.25 => ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 166.23/166.25 ! [V_A_2] : % 166.23/166.25 ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 166.23/166.25 <=> 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))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 166.23/166.25 ! [V_A_2] : % 166.23/166.25 ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 166.23/166.25 ! [V_f_2,V_A_2,T_b] : % 166.23/166.25 ( ! [B_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.25 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atMost__Int__atLeast,axiom, % 166.23/166.25 ! [V_n_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => 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))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold__graph__permute__diff,axiom, % 166.23/166.25 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] : % 166.23/166.25 ( class_Groups_Oab__semigroup__mult(T_b) % 166.23/166.25 => ( 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)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 166.23/166.25 => 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)) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_incr__lemma,axiom, % 166.23/166.25 ! [V_x,V_z,V_d] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 166.23/166.25 => 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)))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_decr__lemma,axiom, % 166.23/166.25 ! [V_z,V_x,V_d] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 166.23/166.25 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 166.23/166.25 ( ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.25 & class_Groups_Ocomm__monoid__mult(T_b) ) % 166.23/166.25 => ( V_A_2 = V_B_2 % 166.23/166.25 => ( c_Nat__Transfer_Onat__set(V_B_2) % 166.23/166.25 => ( ! [B_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 166.23/166.25 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 166.23/166.25 => 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) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__abs,axiom, % 166.23/166.25 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 166.23/166.25 => 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))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__abs__ge__zero,axiom, % 166.23/166.25 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 166.23/166.25 => 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))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeast__eq__iff,axiom, % 166.23/166.25 ! [V_y_2,V_x_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2) % 166.23/166.25 <=> V_x_2 = V_y_2 ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__idempotent,axiom, % 166.23/166.25 ! [V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => 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) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__le__D1,axiom, % 166.23/166.25 ! [V_b,V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__ge__self,axiom, % 166.23/166.25 ! [V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__zero,axiom, % 166.23/166.25 ! [T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__eq__0,axiom, % 166.23/166.25 ! [V_a_2,T_b] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 166.23/166.25 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.25 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__add__abs,axiom, % 166.23/166.25 ! [V_b,V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__mult__self,axiom, % 166.23/166.25 ! [V_a,T_a] : % 166.23/166.25 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.25 => 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) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__mult,axiom, % 166.23/166.25 ! [V_b,V_a,T_a] : % 166.23/166.25 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__minus__commute,axiom, % 166.23/166.25 ! [V_b,V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__one,axiom, % 166.23/166.25 ! [T_a] : % 166.23/166.25 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.25 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__of__nat,axiom, % 166.23/166.25 ! [V_n,T_a] : % 166.23/166.25 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.25 => 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) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__int__eq,axiom, % 166.23/166.25 ! [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) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold__graph_Oequations_I1_J,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold__graph_OemptyI,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_empty__fold__graphE,axiom, % 166.23/166.25 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.25 ( 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)) % 166.23/166.25 => V_x_2 = V_z_2 ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold__graph__imp__finite,axiom, % 166.23/166.25 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.25 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 166.23/166.25 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__setsum__abs,axiom, % 166.23/166.25 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 166.23/166.25 => 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) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__of__nonneg,axiom, % 166.23/166.25 ! [V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.25 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__le__zero__iff,axiom, % 166.23/166.25 ! [V_a_2,T_b] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 166.23/166.25 => ( 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))) % 166.23/166.25 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__ge__zero,axiom, % 166.23/166.25 ! [V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => 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))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__of__pos,axiom, % 166.23/166.25 ! [V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.25 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_zero__less__abs__iff,axiom, % 166.23/166.25 ! [V_a_2,T_b] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 166.23/166.25 => ( 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))) % 166.23/166.25 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__not__less__zero,axiom, % 166.23/166.25 ! [V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => ~ 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))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__triangle__ineq,axiom, % 166.23/166.25 ! [V_b,V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => 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)))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__mult__less,axiom, % 166.23/166.25 ! [V_d,V_b,V_c,V_a,T_a] : % 166.23/166.25 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 166.23/166.25 => 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))) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__triangle__ineq3,axiom, % 166.23/166.25 ! [V_b,V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => 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)))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__triangle__ineq2,axiom, % 166.23/166.25 ! [V_b,V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => 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)))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__triangle__ineq2__sym,axiom, % 166.23/166.25 ! [V_b,V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => 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)))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__zmult__eq__1,axiom, % 166.23/166.25 ! [V_n,V_m] : % 166.23/166.25 ( 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) % 166.23/166.25 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold__graph_OinsertI,axiom, % 166.23/166.25 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 166.23/166.25 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 166.23/166.25 => 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))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__eq__mult,axiom, % 166.23/166.25 ! [V_b,V_a,T_a] : % 166.23/166.25 ( class_Rings_Oordered__ring__abs(T_a) % 166.23/166.25 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.25 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 166.23/166.25 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.25 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__mult__pos,axiom, % 166.23/166.25 ! [V_y,V_x,T_a] : % 166.23/166.25 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__triangle__ineq4,axiom, % 166.23/166.25 ! [V_b,V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => 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)))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_abs__diff__triangle__ineq,axiom, % 166.23/166.25 ! [V_d,V_c,V_b,V_a,T_a] : % 166.23/166.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.25 => 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))))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeast__iff,axiom, % 166.23/166.25 ! [V_k_2,V_i_2,T_b] : % 166.23/166.25 ( class_Orderings_Oord(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_zabs__less__one__iff,axiom, % 166.23/166.25 ! [V_z_2] : % 166.23/166.25 ( 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))) % 166.23/166.25 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__abs__mult__distrib,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeast__subset__iff,axiom, % 166.23/166.25 ! [V_y_2,V_x_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => ( 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))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold__graph__insert__swap,axiom, % 166.23/166.25 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] : % 166.23/166.25 ( class_Groups_Oab__semigroup__mult(T_b) % 166.23/166.25 => ( 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)) % 166.23/166.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 166.23/166.25 => 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))) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I14_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__int_I8_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__int_I6_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Diff1__fold__graph,axiom, % 166.23/166.25 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.25 ( 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)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.25 => 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))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeast__Suc,axiom, % 166.23/166.25 ! [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)))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold1Set_Ointros,axiom, % 166.23/166.25 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] : % 166.23/166.25 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2)) % 166.23/166.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I12_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I13_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I1_J,axiom, % 166.23/166.25 ! [V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => 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) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat0__intermed__int__val,axiom, % 166.23/166.25 ! [V_k_2,V_f_2,V_n_2] : % 166.23/166.25 ( ! [B_i] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 166.23/166.25 => 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))) ) % 166.23/166.25 => ( 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)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 166.23/166.25 => ? [B_i] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 166.23/166.25 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_int__val__lemma,axiom, % 166.23/166.25 ! [V_k_2,V_f_2,V_n_2] : % 166.23/166.25 ( ! [B_i] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 166.23/166.25 => 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))) ) % 166.23/166.25 => ( 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)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 166.23/166.25 => ? [B_i] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 166.23/166.25 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_greaterThan__eq__iff,axiom, % 166.23/166.25 ! [V_y_2,V_x_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2) % 166.23/166.25 <=> V_x_2 = V_y_2 ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_atLeast__Suc__greaterThan,axiom, % 166.23/166.25 ! [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) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold1Set__nonempty,axiom, % 166.23/166.25 ! [V_x_2,V_A_2,V_f_2,T_b] : % 166.23/166.25 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2)) % 166.23/166.25 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_empty__fold1SetE,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_greaterThan__iff,axiom, % 166.23/166.25 ! [V_k_2,V_i_2,T_b] : % 166.23/166.25 ( class_Orderings_Oord(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_greaterThan__subset__iff,axiom, % 166.23/166.25 ! [V_y_2,V_x_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( 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))) % 166.23/166.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold1Set__sing,axiom, % 166.23/166.25 ! [V_b_2,V_a_2,V_f_2,T_b] : % 166.23/166.25 ( 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)) % 166.23/166.25 <=> V_a_2 = V_b_2 ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__int_I7_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__un_I11_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Olinorder(T_b) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_ivl__disj__int_I5_J,axiom, % 166.23/166.25 ! [V_u_2,V_l_2,T_b] : % 166.23/166.25 ( class_Orderings_Oorder(T_b) % 166.23/166.25 => 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)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_greaterThan__Suc,axiom, % 166.23/166.25 ! [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)))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold1Set_Oequations,axiom, % 166.23/166.25 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] : % 166.23/166.25 ( 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)) % 166.23/166.25 <=> ? [B_a,B_A] : % 166.23/166.25 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 166.23/166.25 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2)) % 166.23/166.25 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_insert__fold1SetE,axiom, % 166.23/166.25 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] : % 166.23/166.25 ( 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)) % 166.23/166.25 => ~ ! [B_a,B_A] : % 166.23/166.25 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold1__Un,axiom, % 166.23/166.25 ! [V_B_2,V_A_2,T_b] : % 166.23/166.25 ( class_Groups_Oab__semigroup__mult(T_b) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 => ( 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)) % 166.23/166.25 => 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)) ) ) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 166.23/166.25 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 166.23/166.25 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 166.23/166.25 => ( ! [B_x] : % 166.23/166.25 ( 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))) % 166.23/166.25 => hAPP(V_g_2,B_x) = V_z_2 ) % 166.23/166.25 => 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)) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold1__insert,axiom, % 166.23/166.25 ! [V_x_2,V_A_2,T_b] : % 166.23/166.25 ( class_Groups_Oab__semigroup__mult(T_b) % 166.23/166.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.25 => 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)) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_card__less__Suc2,axiom, % 166.23/166.25 ! [V_i_2,V_M_2] : % 166.23/166.25 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 166.23/166.25 => 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))))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_CollectI,axiom, % 166.23/166.25 ! [T_b,V_a_2,V_Pa_2] : % 166.23/166.25 ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_finite__Collect__conjI,axiom, % 166.23/166.25 ! [V_Qa_2,V_Pa_2,T_b] : % 166.23/166.25 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 166.23/166.25 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) % 166.23/166.25 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Qa_2)))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_finite__Collect__less__nat,axiom, % 166.23/166.25 ! [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)))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_finite__Collect__le__nat,axiom, % 166.23/166.25 ! [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)))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Collect__def,axiom, % 166.23/166.25 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ). % 166.23/166.25 % 166.23/166.25 fof(fact_Collect__empty__eq,axiom, % 166.23/166.25 ! [V_Pa_2,T_b] : % 166.23/166.25 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_empty__Collect__eq,axiom, % 166.23/166.25 ! [V_Pa_2,T_b] : % 166.23/166.25 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2) % 166.23/166.25 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_CollectE,axiom, % 166.23/166.25 ! [V_Pa_2,V_a_2,T_b] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 166.23/166.25 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_CollectD,axiom, % 166.23/166.25 ! [V_Pa_2,V_a_2,T_b] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 166.23/166.25 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_mem__Collect__eq,axiom, % 166.23/166.25 ! [V_Pa_2,V_a_2,T_b] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 166.23/166.25 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Collect__mem__eq,axiom, % 166.23/166.25 ! [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 ). % 166.23/166.25 % 166.23/166.25 fof(fact_empty__def,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_finite__Collect__disjI,axiom, % 166.23/166.25 ! [V_Qa_2,V_Pa_2,T_b] : % 166.23/166.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Qa_2)))) % 166.23/166.25 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 166.23/166.25 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_insert__Collect,axiom, % 166.23/166.25 ! [V_Pa_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Collect__disj__eq,axiom, % 166.23/166.25 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Collect__conj__eq,axiom, % 166.23/166.25 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_insert__compr__raw,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_insert__compr,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Un__def,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Int__def,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Int__Collect,axiom, % 166.23/166.25 ! [V_Pa_2,V_A_2,V_x_2,T_b] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))) % 166.23/166.25 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.25 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Collect__conv__if,axiom, % 166.23/166.25 ! [T_b,V_a_2,V_Pa_2] : % 166.23/166.25 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 166.23/166.25 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 166.23/166.25 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 166.23/166.25 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Collect__conv__if2,axiom, % 166.23/166.25 ! [T_b,V_a_2,V_Pa_2] : % 166.23/166.25 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 166.23/166.25 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 166.23/166.25 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 166.23/166.25 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_singleton__conv,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_singleton__conv2,axiom, % 166.23/166.25 ! [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))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_set__diff__eq,axiom, % 166.23/166.25 ! [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)))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_insert__def,axiom, % 166.23/166.25 ! [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) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold1__singleton,axiom, % 166.23/166.25 ! [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 ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold1__singleton__def,axiom, % 166.23/166.25 ! [V_a_2,V_f_2,T_b,V_g_2] : % 166.23/166.25 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2) % 166.23/166.25 => 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 ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_finite__M__bounded__by__nat,axiom, % 166.23/166.25 ! [V_i_2,V_Pa_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_Pa_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_folding__one_Oeq__fold,axiom, % 166.23/166.25 ! [V_A_2,V_F_2,V_f_2,T_b] : % 166.23/166.25 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__setsum__restrict,axiom, % 166.23/166.25 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] : % 166.23/166.25 ( class_Groups_Ocomm__monoid__add(T_d) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 166.23/166.25 => 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) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_if__image__distrib,axiom, % 166.23/166.25 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_nat__seg__image__imp__finite,axiom, % 166.23/166.25 ! [V_n_2,V_f_2,T_b,V_A_2] : % 166.23/166.25 ( 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))) % 166.23/166.25 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold1__def,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Sup__fin_OF__eq,axiom, % 166.23/166.25 ! [V_A_2,T_b] : % 166.23/166.25 ( class_Lattices_Olattice(T_b) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Inf__fin_OF__eq,axiom, % 166.23/166.25 ! [V_A_2,T_b] : % 166.23/166.25 ( class_Lattices_Olattice(T_b) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__restrict__set_H,axiom, % 166.23/166.25 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 166.23/166.25 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => 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) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__image__gen,axiom, % 166.23/166.25 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] : % 166.23/166.25 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.25 => 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)) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold1__belowI,axiom, % 166.23/166.25 ! [V_a_2,V_A_2,T_b] : % 166.23/166.25 ( class_Lattices_Osemilattice__inf(T_b) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.25 => 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)) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_below__fold1__iff,axiom, % 166.23/166.25 ! [V_x_2,V_A_2,T_b] : % 166.23/166.25 ( class_Lattices_Osemilattice__inf(T_b) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 => ( 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))) % 166.23/166.25 <=> ! [B_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold1__insert__idem,axiom, % 166.23/166.25 ! [V_x_2,V_A_2,T_b] : % 166.23/166.25 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 166.23/166.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => 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)) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold1__Un2,axiom, % 166.23/166.25 ! [V_B_2,V_A_2,T_b] : % 166.23/166.25 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 => 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)) ) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_card__less__Suc,axiom, % 166.23/166.25 ! [V_i_2,V_M_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 166.23/166.25 => 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))))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_card__less,axiom, % 166.23/166.25 ! [V_i_2,V_M_2] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 166.23/166.25 => 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) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_semilattice__big_OF__eq,axiom, % 166.23/166.25 ! [V_A_2,V_F_2,V_f_2,T_b] : % 166.23/166.25 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__multicount,axiom, % 166.23/166.25 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] : % 166.23/166.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 166.23/166.25 => ( ! [B_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2)) % 166.23/166.25 => 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 ) % 166.23/166.25 => 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)) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_fold1__in,axiom, % 166.23/166.25 ! [V_A_2,T_b] : % 166.23/166.25 ( class_Groups_Oab__semigroup__mult(T_b) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 => ( ! [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)))))) % 166.23/166.25 => 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)) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_setsum__multicount__gen,axiom, % 166.23/166.25 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] : % 166.23/166.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2)) % 166.23/166.25 => ( ! [B_x] : % 166.23/166.25 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2)) % 166.23/166.25 => 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) ) % 166.23/166.25 => 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) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_inf__Sup2__distrib,axiom, % 166.23/166.25 ! [V_B_2,V_A_2,T_b] : % 166.23/166.25 ( class_Lattices_Odistrib__lattice(T_b) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.25 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 => 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))))))) ) ) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_inf__Sup1__distrib,axiom, % 166.23/166.25 ! [V_x_2,V_A_2,T_b] : % 166.23/166.25 ( class_Lattices_Odistrib__lattice(T_b) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 => 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))))) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_finite__Collect__subsets,axiom, % 166.23/166.25 ! [V_A_2,T_b] : % 166.23/166.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => 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)))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Pow__def,axiom, % 166.23/166.25 ! [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)) ). % 166.23/166.25 % 166.23/166.25 fof(fact_finite__image__set,axiom, % 166.23/166.25 ! [V_f_2,T_c,V_Pa_2,T_b] : % 166.23/166.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 166.23/166.25 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_Pa_2))))) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_finite__Collect__bounded__ex,axiom, % 166.23/166.25 ! [V_Qa_2,T_c,V_Pa_2,T_b] : % 166.23/166.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))))) % 166.23/166.25 <=> ! [B_y] : % 166.23/166.25 ( hBOOL(hAPP(V_Pa_2,B_y)) % 166.23/166.25 => 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_Qa_2),B_y)))) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 166.23/166.25 ! [V_Pa_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 166.23/166.25 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 166.23/166.25 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_Pa_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_Pa_2),c_Int_Onat)))) ). % 166.23/166.25 % 166.23/166.25 fof(fact_sup__Inf1__distrib,axiom, % 166.23/166.25 ! [V_x_2,V_A_2,T_b] : % 166.23/166.25 ( class_Lattices_Odistrib__lattice(T_b) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 => 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))))) ) ) ) ). % 166.23/166.25 % 166.23/166.25 fof(fact_sup__Inf2__distrib,axiom, % 166.23/166.25 ! [V_B_2,V_A_2,T_b] : % 166.23/166.25 ( class_Lattices_Odistrib__lattice(T_b) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.25 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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))))))) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_add__Max__commute,axiom, % 166.23/166.26 ! [V_k_2,V_N_2,T_b] : % 166.23/166.26 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 166.23/166.26 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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))))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_add__Min__commute,axiom, % 166.23/166.26 ! [V_k_2,V_N_2,T_b] : % 166.23/166.26 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 166.23/166.26 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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))))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_hom__fold1__commute,axiom, % 166.23/166.26 ! [V_N_2,V_h_2,T_b] : % 166.23/166.26 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 166.23/166.26 => ( ! [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)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 166.23/166.26 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__conv__nat__seg__image,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 <=> ? [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))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_pigeonhole__infinite,axiom, % 166.23/166.26 ! [V_f_2,T_c,V_A_2,T_b] : % 166.23/166.26 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 166.23/166.26 => ? [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.26 & ~ 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)))))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__le__eq__Un0,axiom, % 166.23/166.26 ! [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))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_SUP1__I,axiom, % 166.23/166.26 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__UN,axiom, % 166.23/166.26 ! [V_B_2,T_c,V_A_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> ! [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.26 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_SUP1__iff,axiom, % 166.23/166.26 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 166.23/166.26 ( 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)) % 166.23/166.26 <=> ? [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.26 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__o,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max_Osingleton,axiom, % 166.23/166.26 ! [V_x_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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 ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min_Osingleton,axiom, % 166.23/166.26 ! [V_x_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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 ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min__le,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => 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)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max__ge,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => 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))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max__in,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min__in,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__le__add__shift,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max__mono,axiom, % 166.23/166.26 ! [V_N_2,V_M_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 166.23/166.26 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 166.23/166.26 => 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))) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min__antimono,axiom, % 166.23/166.26 ! [V_N_2,V_M_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 166.23/166.26 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 166.23/166.26 => 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))) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__I,axiom, % 166.23/166.26 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 166.23/166.26 => 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_image__eq__UN,axiom, % 166.23/166.26 ! [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)))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__Pow__subset,axiom, % 166.23/166.26 ! [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)))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__insert,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__extend__simps_I2_J,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.23/166.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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 ) % 166.23/166.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__extend__simps_I3_J,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.23/166.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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 ) % 166.23/166.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_ball__UN,axiom, % 166.23/166.26 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] : % 166.23/166.26 ( ! [B_x] : % 166.23/166.26 ( 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))) % 166.23/166.26 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.23/166.26 <=> ! [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.23/166.26 => ! [B_xa] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x))) % 166.23/166.26 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_SUP__commute,axiom, % 166.23/166.26 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 166.23/166.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.26 => 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))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__UN__flatten,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__simps_I9_J,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__extend__simps_I9_J,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_SUP__le__iff,axiom, % 166.23/166.26 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] : % 166.23/166.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.26 => ( 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)) % 166.23/166.26 <=> ! [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.23/166.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_less__SUP__iff,axiom, % 166.23/166.26 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] : % 166.23/166.26 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.26 & class_Orderings_Olinorder(T_b) ) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> ? [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.23/166.26 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__iff,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 166.23/166.26 ( 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))) % 166.23/166.26 <=> ? [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.23/166.26 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_SUP__const,axiom, % 166.23/166.26 ! [V_M_2,T_b,V_A_2,T_c] : % 166.23/166.26 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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 ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UNION__empty__conv_I1_J,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_c,T_b] : % 166.23/166.26 ( 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) % 166.23/166.26 <=> ! [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.23/166.26 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__empty2,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__constant,axiom, % 166.23/166.26 ! [V_c_2,T_c,T_b,V_A_2] : % 166.23/166.26 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) % 166.23/166.26 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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 ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UNION__empty__conv_I2_J,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b,T_c] : % 166.23/166.26 ( 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)) % 166.23/166.26 <=> ! [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.23/166.26 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__subset__iff,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : % 166.23/166.26 ( 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)) % 166.23/166.26 <=> ! [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__simps_I10_J,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_image__UN,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__extend__simps_I10_J,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__Un,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__Un__distrib,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Int__UN__distrib2,axiom, % 166.23/166.26 ! [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))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__extend__simps_I4_J,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Int__UN__distrib,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__extend__simps_I5_J,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__simps_I4_J,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__simps_I5_J,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_SUPR__apply,axiom, % 166.23/166.26 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 166.23/166.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__simps_I6_J,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__extend__simps_I6_J,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_SUP__subset,axiom, % 166.23/166.26 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.26 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.26 => 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_le__SUPI,axiom, % 166.23/166.26 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 166.23/166.26 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 166.23/166.26 => 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__insert__distrib,axiom, % 166.23/166.26 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__upper,axiom, % 166.23/166.26 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.26 => 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))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__absorb,axiom, % 166.23/166.26 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__extend__simps_I1_J,axiom, % 166.23/166.26 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 166.23/166.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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))) ) % 166.23/166.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__singleton,axiom, % 166.23/166.26 ! [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 ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__simps_I1_J,axiom, % 166.23/166.26 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 166.23/166.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) % 166.23/166.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__simps_I3_J,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.23/166.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) % 166.23/166.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__simps_I2_J,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.23/166.26 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) % 166.23/166.26 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min_Oremove,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => ( ( hAPP(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)) % 166.23/166.26 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) % 166.23/166.26 & ( hAPP(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)) % 166.23/166.26 => 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)))))) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max_Oremove,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => ( ( hAPP(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)) % 166.23/166.26 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) % 166.23/166.26 & ( hAPP(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)) % 166.23/166.26 => 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)))))) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__UN__I,axiom, % 166.23/166.26 ! [V_B_2,T_c,V_A_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( ! [B_a] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 166.23/166.26 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 166.23/166.26 => 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_greaterThan__0,axiom, % 166.23/166.26 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))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_diff__nat__eq__if,axiom, % 166.23/166.26 ! [V_z_2,V_z_H_2] : % 166.23/166.26 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 166.23/166.26 => 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) ) % 166.23/166.26 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_setsum__SucD,axiom, % 166.23/166.26 ! [V_n_2,V_A_2,V_f_2,T_b] : % 166.23/166.26 ( 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) % 166.23/166.26 => ? [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.26 & 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_top1I,axiom, % 166.23/166.26 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_SUP2__I,axiom, % 166.23/166.26 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UNIV__I,axiom, % 166.23/166.26 ! [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)))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Int__greaterThanAtMost,axiom, % 166.23/166.26 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Int__greaterThanLessThan,axiom, % 166.23/166.26 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Pow__UNIV,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min_Oidem,axiom, % 166.23/166.26 ! [V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max_Oidem,axiom, % 166.23/166.26 ! [V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 166.23/166.26 ! [V_x,V_z,V_y,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__inf__distrib2,axiom, % 166.23/166.26 ! [V_x,V_z,V_y,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__assoc,axiom, % 166.23/166.26 ! [V_z,V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf_Oassoc,axiom, % 166.23/166.26 ! [V_c,V_b,V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__assoc,axiom, % 166.23/166.26 ! [V_z,V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup_Oassoc,axiom, % 166.23/166.26 ! [V_c,V_b,V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 166.23/166.26 ! [V_z,V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__inf__distrib1,axiom, % 166.23/166.26 ! [V_z,V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__left__commute,axiom, % 166.23/166.26 ! [V_z,V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 166.23/166.26 ! [V_c,V_a,V_b,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__left__commute,axiom, % 166.23/166.26 ! [V_z,V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup_Oleft__commute,axiom, % 166.23/166.26 ! [V_c,V_a,V_b,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__left__idem,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__left__idem,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup_Oleft__idem,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__sup__absorb,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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 ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__inf__absorb,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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 ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__commute,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf_Ocommute,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__commute,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup_Ocommute,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf_Oidem,axiom, % 166.23/166.26 ! [V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup_Oidem,axiom, % 166.23/166.26 ! [V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_top__apply,axiom, % 166.23/166.26 ! [V_x_2,T_c,T_b] : % 166.23/166.26 ( class_Orderings_Otop(T_b) % 166.23/166.26 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UNIV__Plus__UNIV,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__option__UNIV,axiom, % 166.23/166.26 ! [T_b] : % 166.23/166.26 ( 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)))) % 166.23/166.26 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__Prod__UNIV,axiom, % 166.23/166.26 ! [T_c,T_b] : % 166.23/166.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) % 166.23/166.26 => 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)))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Odistrib__inf__le,axiom, % 166.23/166.26 ! [V_z,V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Odistrib__sup__le,axiom, % 166.23/166.26 ! [V_z,V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Int__atLeastLessThan,axiom, % 166.23/166.26 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Int__atLeastAtMost,axiom, % 166.23/166.26 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ole__supE,axiom, % 166.23/166.26 ! [V_x,V_b,V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( 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)) % 166.23/166.26 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 166.23/166.26 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__mono,axiom, % 166.23/166.26 ! [V_d,V_b,V_c,V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 166.23/166.26 => 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))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__least,axiom, % 166.23/166.26 ! [V_z,V_x,V_y,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 166.23/166.26 => 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)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ole__supI,axiom, % 166.23/166.26 ! [V_b,V_x,V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 166.23/166.26 => 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)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__absorb1,axiom, % 166.23/166.26 ! [V_x,V_y,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 166.23/166.26 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__absorb2,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.26 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ole__supI2,axiom, % 166.23/166.26 ! [V_a,V_b,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 166.23/166.26 => 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ole__supI1,axiom, % 166.23/166.26 ! [V_b,V_a,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 166.23/166.26 => 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ole__sup__iff,axiom, % 166.23/166.26 ! [V_z_2,V_y_2,V_x_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( 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)) % 166.23/166.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 166.23/166.26 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ole__iff__sup,axiom, % 166.23/166.26 ! [V_y_2,V_x_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.26 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_le__maxI2,axiom, % 166.23/166.26 ! [V_x,V_y,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_le__maxI1,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_le__max__iff__disj,axiom, % 166.23/166.26 ! [V_y_2,V_x_2,V_z_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2)) % 166.23/166.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ole__infE,axiom, % 166.23/166.26 ! [V_b,V_a,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( 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))) % 166.23/166.26 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 166.23/166.26 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__mono,axiom, % 166.23/166.26 ! [V_d,V_b,V_c,V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 166.23/166.26 => 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))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__greatest,axiom, % 166.23/166.26 ! [V_z,V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 166.23/166.26 => 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))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ole__infI,axiom, % 166.23/166.26 ! [V_b,V_a,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 166.23/166.26 => 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))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__absorb2,axiom, % 166.23/166.26 ! [V_x,V_y,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 166.23/166.26 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__absorb1,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.26 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ole__infI2,axiom, % 166.23/166.26 ! [V_a,V_x,V_b,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ole__infI1,axiom, % 166.23/166.26 ! [V_b,V_x,V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ole__inf__iff,axiom, % 166.23/166.26 ! [V_z_2,V_y_2,V_x_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.26 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ole__iff__inf,axiom, % 166.23/166.26 ! [V_y_2,V_x_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.23/166.26 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__le2,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__le1,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__le__iff__disj,axiom, % 166.23/166.26 ! [V_z_2,V_y_2,V_x_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( 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)) % 166.23/166.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 166.23/166.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oless__supI2,axiom, % 166.23/166.26 ! [V_a,V_b,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 166.23/166.26 => 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oless__supI1,axiom, % 166.23/166.26 ! [V_b,V_a,V_x,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 166.23/166.26 => 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_max__less__iff__conj,axiom, % 166.23/166.26 ! [V_z_2,V_y_2,V_x_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( 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)) % 166.23/166.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 166.23/166.26 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_less__max__iff__disj,axiom, % 166.23/166.26 ! [V_y_2,V_x_2,V_z_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 166.23/166.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oless__infI2,axiom, % 166.23/166.26 ! [V_a,V_x,V_b,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oless__infI1,axiom, % 166.23/166.26 ! [V_b,V_x,V_a,T_a] : % 166.23/166.26 ( class_Orderings_Olinorder(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__less__iff__disj,axiom, % 166.23/166.26 ! [V_z_2,V_y_2,V_x_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( 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)) % 166.23/166.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 166.23/166.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__less__iff__conj,axiom, % 166.23/166.26 ! [V_y_2,V_x_2,V_z_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 166.23/166.26 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_max__add__distrib__left,axiom, % 166.23/166.26 ! [V_z,V_y,V_x,T_a] : % 166.23/166.26 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__add__distrib__left,axiom, % 166.23/166.26 ! [V_z,V_y,V_x,T_a] : % 166.23/166.26 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_max__diff__distrib__left,axiom, % 166.23/166.26 ! [V_z,V_y,V_x,T_a] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__diff__distrib__left,axiom, % 166.23/166.26 ! [V_z,V_y,V_x,T_a] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_sup__max,axiom, % 166.23/166.26 ! [T_b] : % 166.23/166.26 ( ( class_Lattices_Osemilattice__sup(T_b) % 166.23/166.26 & class_Orderings_Olinorder(T_b) ) % 166.23/166.26 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_max__0L,axiom, % 166.23/166.26 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 166.23/166.26 % 166.23/166.26 fof(fact_max__0R,axiom, % 166.23/166.26 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 166.23/166.26 % 166.23/166.26 fof(fact_inf__min,axiom, % 166.23/166.26 ! [T_b] : % 166.23/166.26 ( ( class_Lattices_Osemilattice__inf(T_b) % 166.23/166.26 & class_Orderings_Olinorder(T_b) ) % 166.23/166.26 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__0L,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__0R,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_max__Suc__Suc,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__Suc__Suc,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__diff,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_iso__tuple__UNIV__I,axiom, % 166.23/166.26 ! [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)))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__fun__UNIVD2,axiom, % 166.23/166.26 ! [T_c,T_b] : % 166.23/166.26 ( 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)))) % 166.23/166.26 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UNIV__not__empty,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__UNIV,axiom, % 166.23/166.26 ! [T_b] : % 166.23/166.26 ( class_Finite__Set_Ofinite(T_b) % 166.23/166.26 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_subset__UNIV,axiom, % 166.23/166.26 ! [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)))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Un__UNIV__right,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Un__UNIV__left,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Int__UNIV__right,axiom, % 166.23/166.26 ! [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 ). % 166.23/166.26 % 166.23/166.26 fof(fact_Int__UNIV__left,axiom, % 166.23/166.26 ! [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 ). % 166.23/166.26 % 166.23/166.26 fof(fact_injD,axiom, % 166.23/166.26 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 166.23/166.26 => V_x_2 = V_y_2 ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inj__eq,axiom, % 166.23/166.26 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 166.23/166.26 <=> V_x_2 = V_y_2 ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_max__of__mono,axiom, % 166.23/166.26 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] : % 166.23/166.26 ( ( class_Orderings_Olinorder(T_c) % 166.23/166.26 & class_Orderings_Olinorder(T_b) ) % 166.23/166.26 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__of__mono,axiom, % 166.23/166.26 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] : % 166.23/166.26 ( ( class_Orderings_Olinorder(T_c) % 166.23/166.26 & class_Orderings_Olinorder(T_b) ) % 166.23/166.26 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inj__int,axiom, % 166.23/166.26 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))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__Plus__UNIV__iff,axiom, % 166.23/166.26 ! [T_c,T_b] : % 166.23/166.26 ( 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)))) % 166.23/166.26 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 166.23/166.26 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_not__neg__0,axiom, % 166.23/166.26 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 166.23/166.26 ! [T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 166.23/166.26 ! [T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_not__neg__int,axiom, % 166.23/166.26 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_not__neg__1,axiom, % 166.23/166.26 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_infinite__UNIV__nat,axiom, % 166.23/166.26 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UNIV__def,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_range__composition,axiom, % 166.23/166.26 ! [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)))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inj__fun,axiom, % 166.23/166.26 ! [T_d,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => 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))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_top__greatest,axiom, % 166.23/166.26 ! [V_x,T_a] : % 166.23/166.26 ( class_Orderings_Otop(T_a) % 166.23/166.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_sup__top__right,axiom, % 166.23/166.26 ! [V_x,T_a] : % 166.23/166.26 ( class_Lattices_Obounded__lattice__top(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_sup__top__left,axiom, % 166.23/166.26 ! [V_x,T_a] : % 166.23/166.26 ( class_Lattices_Obounded__lattice__top(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inf__eq__top__iff,axiom, % 166.23/166.26 ! [V_y_2,V_x_2,T_b] : % 166.23/166.26 ( class_Lattices_Obounded__lattice__top(T_b) % 166.23/166.26 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b) % 166.23/166.26 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b) % 166.23/166.26 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inf__top__right,axiom, % 166.23/166.26 ! [V_x,T_a] : % 166.23/166.26 ( class_Lattices_Obounded__lattice__top(T_a) % 166.23/166.26 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inf__top__left,axiom, % 166.23/166.26 ! [V_x,T_a] : % 166.23/166.26 ( class_Lattices_Obounded__lattice__top(T_a) % 166.23/166.26 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__lessThan__UNIV,axiom, % 166.23/166.26 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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__atMost__UNIV,axiom, % 166.23/166.26 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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_nat__minus__add__max,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_rangeI,axiom, % 166.23/166.26 ! [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))))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_range__eqI,axiom, % 166.23/166.26 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] : % 166.23/166.26 ( V_b_2 = hAPP(V_f_2,V_x_2) % 166.23/166.26 => 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))))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__atLeast__UNIV,axiom, % 166.23/166.26 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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Diff__UNIV,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_comp__surj,axiom, % 166.23/166.26 ! [V_g_2,T_d,V_f_2,T_b,T_c] : % 166.23/166.26 ( 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)) % 166.23/166.26 => ( 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)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 166.23/166.26 => ( 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))) % 166.23/166.26 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inj__image__eq__iff,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => ( 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) % 166.23/166.26 <=> V_A_2 = V_B_2 ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inj__comp,axiom, % 166.23/166.26 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 166.23/166.26 => 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_not__neg__eq__ge__0,axiom, % 166.23/166.26 ! [V_x_2] : % 166.23/166.26 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_neg__def,axiom, % 166.23/166.26 ! [V_Z_2] : % 166.23/166.26 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_neg__nat,axiom, % 166.23/166.26 ! [V_z] : % 166.23/166.26 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 166.23/166.26 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inj__singleton,axiom, % 166.23/166.26 ! [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))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_not__neg__nat,axiom, % 166.23/166.26 ! [V_z] : % 166.23/166.26 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 166.23/166.26 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__Collect__not,axiom, % 166.23/166.26 ! [V_Pa_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)))) % 166.23/166.26 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_SUP__UN__eq,axiom, % 166.23/166.26 ! [V_x_2,V_r_2,T_c,T_b] : % 166.23/166.26 ( 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)) % 166.23/166.26 <=> 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))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__range__imageI,axiom, % 166.23/166.26 ! [V_f_2,T_d,V_g_2,T_c,T_b] : % 166.23/166.26 ( 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))))) % 166.23/166.26 => 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))))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_the__inv__f__f,axiom, % 166.23/166.26 ! [V_x_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => 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 ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__fun__UNIVD1,axiom, % 166.23/166.26 ! [T_c,T_b] : % 166.23/166.26 ( 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)))) % 166.23/166.26 => ( 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)) % 166.23/166.26 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inj__of__nat,axiom, % 166.23/166.26 ! [T_b] : % 166.23/166.26 ( class_Nat_Osemiring__char__0(T_b) % 166.23/166.26 => 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))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_atLeast__0,axiom, % 166.23/166.26 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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_max__Suc2,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_max__Suc1,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max_Oin__idem,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => 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) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min_Oin__idem,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => 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) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Omono__sup,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 166.23/166.26 ( ( class_Lattices_Osemilattice__sup(T_c) % 166.23/166.26 & class_Orderings_Olinorder(T_b) ) % 166.23/166.26 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 166.23/166.26 => 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)))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Omono__inf,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 166.23/166.26 ( ( class_Lattices_Osemilattice__inf(T_c) % 166.23/166.26 & class_Orderings_Olinorder(T_b) ) % 166.23/166.26 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 166.23/166.26 => 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)))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Int__atLeastAtMostL1,axiom, % 166.23/166.26 ! [V_d_2,V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Int__atLeastAtMostR1,axiom, % 166.23/166.26 ! [V_d_2,V_c_2,V_b_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inj__image__mem__iff,axiom, % 166.23/166.26 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_range__ex1__eq,axiom, % 166.23/166.26 ! [V_b_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => ( 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))))) % 166.23/166.26 <=> ? [B_x] : % 166.23/166.26 ( V_b_2 = hAPP(V_f_2,B_x) % 166.23/166.26 & ! [B_y] : % 166.23/166.26 ( V_b_2 = hAPP(V_f_2,B_y) % 166.23/166.26 => B_y = B_x ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Int__atLeastAtMostL2,axiom, % 166.23/166.26 ! [V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Int__atLeastAtMostR2,axiom, % 166.23/166.26 ! [V_d_2,V_c_2,V_a_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__UNIV__inj__surj,axiom, % 166.23/166.26 ! [V_f_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 166.23/166.26 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__UNIV__surj__inj,axiom, % 166.23/166.26 ! [V_f_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 166.23/166.26 => ( 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)) % 166.23/166.26 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max_OF__eq,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => 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) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min_OF__eq,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => 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) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inj__image__subset__iff,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_image__Int,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_image__set__diff,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__Suc1,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__Suc2,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Ofold1__belowI,axiom, % 166.23/166.26 ! [V_a_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.26 => 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)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__UN__finite__eq,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Obelow__fold1__iff,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> ! [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_fold1__below__iff,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( 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)) % 166.23/166.26 <=> ? [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.26 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_strict__below__fold1__iff,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> ! [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_fold1__strict__below__iff,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( 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)) % 166.23/166.26 <=> ? [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.26 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max__insert,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min__insert,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max_Osubset__idem,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.26 => 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) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min_Osubset__idem,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.26 => 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) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max__Un,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min__Un,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__UNIV__card__ge__0,axiom, % 166.23/166.26 ! [T_b] : % 166.23/166.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 166.23/166.26 => 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))))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max_Oinsert,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min_Oinsert,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_fold1__antimono,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => 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))) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max_Oinsert__remove,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( ( hAPP(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)) % 166.23/166.26 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 166.23/166.26 & ( hAPP(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)) % 166.23/166.26 => 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)))))) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max_Ounion__inter,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( 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)) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max_Ounion__disjoint,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( 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)) % 166.23/166.26 => 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)) ) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min_Oinsert__remove,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( ( hAPP(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)) % 166.23/166.26 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 166.23/166.26 & ( hAPP(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)) % 166.23/166.26 => 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)))))) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min_Ounion__inter,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( 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)) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min_Ounion__disjoint,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( 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)) % 166.23/166.26 => 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)) ) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_dual__min,axiom, % 166.23/166.26 ! [T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_dual__max,axiom, % 166.23/166.26 ! [T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__finite2__subset,axiom, % 166.23/166.26 ! [V_B_2,V_k_2,V_A_2,T_b] : % 166.23/166.26 ( ! [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))) % 166.23/166.26 => 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))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_max__ord__max,axiom, % 166.23/166.26 ! [T_b] : % 166.23/166.26 ( class_Orderings_Oord(T_b) % 166.23/166.26 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__ord__min,axiom, % 166.23/166.26 ! [T_b] : % 166.23/166.26 ( class_Orderings_Oord(T_b) % 166.23/166.26 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_SUP2__iff,axiom, % 166.23/166.26 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 166.23/166.26 ( 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)) % 166.23/166.26 <=> ? [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.26 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_sup__nat__def,axiom, % 166.23/166.26 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inf__nat__def,axiom, % 166.23/166.26 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 166.23/166.26 % 166.23/166.26 fof(fact_card__UNIV__unit,axiom, % 166.23/166.26 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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_infinite__UNIV__int,axiom, % 166.23/166.26 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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))))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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))))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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))))))) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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))))))) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max_Oclosed,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( ! [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)))))) % 166.23/166.26 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__le__Sup,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => 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) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => 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) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 166.23/166.26 ! [V_x_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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 ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 166.23/166.26 ! [V_x_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => 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 ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => 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) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => 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) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.26 => 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) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.23/166.26 => 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) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 166.23/166.26 ! [V_a_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.26 => 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 ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_Osup__Inf__absorb,axiom, % 166.23/166.26 ! [V_a_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.26 => 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 ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( ( hAPP(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)) % 166.23/166.26 => 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 ) % 166.23/166.26 & ( hAPP(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)) % 166.23/166.26 => 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)))))) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( ( hAPP(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)) % 166.23/166.26 => 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 ) % 166.23/166.26 & ( hAPP(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)) % 166.23/166.26 => 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)))))) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( 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)) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( 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)) % 166.23/166.26 => 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)) ) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( 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)) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.26 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( 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)) % 166.23/166.26 => 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)) ) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__fin_Oremove,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => ( ( hAPP(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)) % 166.23/166.26 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 ) % 166.23/166.26 & ( hAPP(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)) % 166.23/166.26 => 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)))))) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OSup__fin_Oremove,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => ( ( hAPP(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)) % 166.23/166.26 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 ) % 166.23/166.26 & ( hAPP(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)) % 166.23/166.26 => 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)))))) ) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( ! [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)))))) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( ! [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)))))) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min_Oclosed,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => ( ! [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)))))) % 166.23/166.26 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__finite2__eq,axiom, % 166.23/166.26 ! [V_B_2,V_k_2,V_A_2,T_b] : % 166.23/166.26 ( ! [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) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_UN__finite__subset,axiom, % 166.23/166.26 ! [V_C_2,V_A_2,T_b] : % 166.23/166.26 ( ! [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)) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inj__vimage__singleton,axiom, % 166.23/166.26 ! [V_a_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => 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))))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 166.23/166.26 ! [V_N_2,V_h_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( ! [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)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 166.23/166.26 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 166.23/166.26 ! [V_N_2,V_h_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( ! [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)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 166.23/166.26 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Max_Ohom__commute,axiom, % 166.23/166.26 ! [V_N_2,V_h_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( ! [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)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 166.23/166.26 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Min_Ohom__commute,axiom, % 166.23/166.26 ! [V_N_2,V_h_2,T_b] : % 166.23/166.26 ( class_Orderings_Olinorder(T_b) % 166.23/166.26 => ( ! [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)) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 166.23/166.26 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.26 => 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)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimageI,axiom, % 166.23/166.26 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] : % 166.23/166.26 ( hAPP(V_f_2,V_a_2) = V_b_2 % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2)) % 166.23/166.26 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__eq,axiom, % 166.23/166.26 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimageD,axiom, % 166.23/166.26 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2))) % 166.23/166.26 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimageI2,axiom, % 166.23/166.26 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) % 166.23/166.26 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__empty,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__mono,axiom, % 166.23/166.26 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.26 => 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))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__compose,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__ident,axiom, % 166.23/166.26 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__code,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2)) % 166.23/166.26 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__Diff,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__Int,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__Un,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__UNIV,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__Collect__eq,axiom, % 166.23/166.26 ! [V_Pa_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_Pa_2),V_f_2)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__UN,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_image__vimage__subset,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_surj__image__vimage__eq,axiom, % 166.23/166.26 ! [V_A_2,V_f_2,T_b,T_c] : % 166.23/166.26 ( 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)) % 166.23/166.26 => 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 ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__def,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__singleton__eq,axiom, % 166.23/166.26 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] : % 166.23/166.26 ( 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)))))) % 166.23/166.26 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__insert,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__vimageD,axiom, % 166.23/166.26 ! [V_F_2,V_h_2,T_c,T_b] : % 166.23/166.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 166.23/166.26 => ( 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)) % 166.23/166.26 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__subsetD,axiom, % 166.23/166.26 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] : % 166.23/166.26 ( 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)) % 166.23/166.26 => ( 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)) % 166.23/166.26 => 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_image__vimage__eq,axiom, % 166.23/166.26 ! [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)))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_finite__vimageI,axiom, % 166.23/166.26 ! [V_h_2,T_c,V_F_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 166.23/166.26 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 166.23/166.26 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inj__vimage__image__eq,axiom, % 166.23/166.26 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => 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 ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__const,axiom, % 166.23/166.26 ! [T_c,V_A_2,V_c_2,T_b] : % 166.23/166.26 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.23/166.26 => 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)) ) % 166.23/166.26 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__eq__UN,axiom, % 166.23/166.26 ! [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))))) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__subsetI,axiom, % 166.23/166.26 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.26 => ( 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))) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_setsum__cases,axiom, % 166.23/166.26 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] : % 166.23/166.26 ( class_Groups_Ocomm__monoid__add(T_c) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_setprod_Oremove,axiom, % 166.23/166.26 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 166.23/166.26 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.26 => 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)))))) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_fold__image__1,axiom, % 166.23/166.26 ! [V_f_2,V_S_2,T_b,T_c] : % 166.23/166.26 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.26 => ( ! [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 166.23/166.26 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 166.23/166.26 => 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) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_card_Oneutral,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.26 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.23/166.26 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_def__coinduct__set,axiom, % 166.23/166.26 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] : % 166.23/166.26 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 166.23/166.26 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 166.23/166.26 => ( 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)))) % 166.23/166.26 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inj__uminus,axiom, % 166.23/166.26 ! [V_A_2,T_b] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.26 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_ComplI,axiom, % 166.23/166.26 ! [V_A_2,V_c_2,T_b] : % 166.23/166.26 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.23/166.26 => 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))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_le__imp__neg__le,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.26 => 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_neg__le__iff__le,axiom, % 166.23/166.26 ! [V_a_2,V_b_2,T_b] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__le__iff,axiom, % 166.23/166.26 ! [V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.26 => ( 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)) % 166.23/166.26 <=> 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_le__minus__iff,axiom, % 166.23/166.26 ! [V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_compl__mono,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Lattices_Oboolean__algebra(T_a) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.26 => 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_compl__le__compl__iff,axiom, % 166.23/166.26 ! [V_y_2,V_x_2,T_b] : % 166.23/166.26 ( class_Lattices_Oboolean__algebra(T_b) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__zero,axiom, % 166.23/166.26 ! [T_a] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_a) % 166.23/166.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_neg__0__equal__iff__equal,axiom, % 166.23/166.26 ! [V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_b) % 166.23/166.26 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 166.23/166.26 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_equal__neg__zero,axiom, % 166.23/166.26 ! [V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Olinordered__ab__group__add(T_b) % 166.23/166.26 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 166.23/166.26 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_neg__equal__0__iff__equal,axiom, % 166.23/166.26 ! [V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_b) % 166.23/166.26 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.26 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_neg__equal__zero,axiom, % 166.23/166.26 ! [V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Olinordered__ab__group__add(T_b) % 166.23/166.26 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2 % 166.23/166.26 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_neg__less__iff__less,axiom, % 166.23/166.26 ! [V_a_2,V_b_2,T_b] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__less__iff,axiom, % 166.23/166.26 ! [V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_less__minus__iff,axiom, % 166.23/166.26 ! [V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_fun__Compl__def,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_c,T_b] : % 166.23/166.26 ( class_Groups_Ouminus(T_b) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_double__complement,axiom, % 166.23/166.26 ! [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 ). % 166.23/166.26 % 166.23/166.26 fof(fact_double__compl,axiom, % 166.23/166.26 ! [V_x,T_a] : % 166.23/166.26 ( class_Lattices_Oboolean__algebra(T_a) % 166.23/166.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_uminus__apply,axiom, % 166.23/166.26 ! [V_x_2,V_A_2,T_c,T_b] : % 166.23/166.26 ( class_Groups_Ouminus(T_b) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Compl__eq__Compl__iff,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( 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) % 166.23/166.26 <=> V_A_2 = V_B_2 ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_compl__eq__compl__iff,axiom, % 166.23/166.26 ! [V_y_2,V_x_2,T_b] : % 166.23/166.26 ( class_Lattices_Oboolean__algebra(T_b) % 166.23/166.26 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2) % 166.23/166.26 <=> V_x_2 = V_y_2 ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__minus,axiom, % 166.23/166.26 ! [V_a,T_a] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_a) % 166.23/166.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_equation__minus__iff,axiom, % 166.23/166.26 ! [V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_b) % 166.23/166.26 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 166.23/166.26 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__equation__iff,axiom, % 166.23/166.26 ! [V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_b) % 166.23/166.26 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2 % 166.23/166.26 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_neg__equal__iff__equal,axiom, % 166.23/166.26 ! [V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_b) % 166.23/166.26 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 166.23/166.26 <=> V_a_2 = V_b_2 ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_of__nat__setprod,axiom, % 166.23/166.26 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 166.23/166.26 & class_Rings_Osemiring__1(T_b) ) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_int__setprod,axiom, % 166.23/166.26 ! [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) ). % 166.23/166.26 % 166.23/166.26 fof(fact_abs__minus__cancel,axiom, % 166.23/166.26 ! [V_a,T_a] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Compl__anti__mono,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.23/166.26 => 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))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Compl__subset__Compl__iff,axiom, % 166.23/166.26 ! [V_B_2,V_A_2,T_b] : % 166.23/166.26 ( 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))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__diff__eq,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Groups_Oab__group__add(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_ComplE,axiom, % 166.23/166.26 ! [V_A_2,V_c_2,T_b] : % 166.23/166.26 ( 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))) % 166.23/166.26 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_ComplD,axiom, % 166.23/166.26 ! [V_A_2,V_c_2,T_b] : % 166.23/166.26 ( 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))) % 166.23/166.26 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Compl__iff,axiom, % 166.23/166.26 ! [V_A_2,V_c_2,T_b] : % 166.23/166.26 ( 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))) % 166.23/166.26 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_square__eq__iff,axiom, % 166.23/166.26 ! [V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Rings_Oidom(T_b) % 166.23/166.26 => ( 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) % 166.23/166.26 <=> ( V_a_2 = V_b_2 % 166.23/166.26 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__mult__minus,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Rings_Oring(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__mult__commute,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Rings_Oring(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__mult__left,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Rings_Oring(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__mult__right,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Rings_Oring(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__add__distrib,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Groups_Oab__group__add(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__add,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_add__minus__cancel,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_a) % 166.23/166.26 => 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 ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__add__cancel,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_a) % 166.23/166.26 => 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 ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_vimage__Compl,axiom, % 166.23/166.26 ! [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)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_setprod__timesf,axiom, % 166.23/166.26 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( class_Groups_Ocomm__monoid__mult(T_b) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_setprod__1,axiom, % 166.23/166.26 ! [V_A_2,T_c,T_b] : % 166.23/166.26 ( class_Groups_Ocomm__monoid__mult(T_b) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_abs__setprod,axiom, % 166.23/166.26 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( class_Fields_Olinordered__field(T_b) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_setsum__negf,axiom, % 166.23/166.26 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.26 ( class_Groups_Oab__group__add(T_b) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_Collect__neg__eq,axiom, % 166.23/166.26 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)) ). % 166.23/166.26 % 166.23/166.26 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 166.23/166.26 ! [V_A_2,V_f_2,T_b] : % 166.23/166.26 ( ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.26 & class_Groups_Ocomm__monoid__mult(T_b) ) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_gfp__upperbound,axiom, % 166.23/166.26 ! [V_f_2,V_X_2,T_b] : % 166.23/166.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,V_X_2))) % 166.23/166.26 => 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))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_setprod__zero__iff,axiom, % 166.23/166.26 ! [V_f_2,V_A_2,T_b,T_c] : % 166.23/166.26 ( ( class_Rings_Ocomm__semiring__1(T_c) % 166.23/166.26 & class_Rings_Ono__zero__divisors(T_c) ) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( 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) % 166.23/166.26 <=> ? [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.26 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_setprod__zero,axiom, % 166.23/166.26 ! [V_f_2,V_A_2,T_b,T_c] : % 166.23/166.26 ( class_Rings_Ocomm__semiring__1(T_c) % 166.23/166.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => ( ? [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.26 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 166.23/166.26 => 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) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_setprod__empty,axiom, % 166.23/166.26 ! [V_f_2,T_c,T_b] : % 166.23/166.26 ( class_Groups_Ocomm__monoid__mult(T_b) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_setprod_Oempty,axiom, % 166.23/166.26 ! [V_g_2,T_c,T_b] : % 166.23/166.26 ( class_Groups_Ocomm__monoid__mult(T_b) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_setprod__infinite,axiom, % 166.23/166.26 ! [V_f_2,V_A_2,T_b,T_c] : % 166.23/166.26 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.26 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => 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) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_setprod_Oinfinite,axiom, % 166.23/166.26 ! [V_g_2,V_A_2,T_b,T_c] : % 166.23/166.26 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.26 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.26 => 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) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_def__gfp__unfold,axiom, % 166.23/166.26 ! [V_f_2,V_A_2,T_b] : % 166.23/166.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.26 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) % 166.23/166.26 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 166.23/166.26 => V_A_2 = hAPP(V_f_2,V_A_2) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_gfp__unfold,axiom, % 166.23/166.26 ! [V_f_2,T_b] : % 166.23/166.26 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.26 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 166.23/166.26 => 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)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_setprod__eq__1__iff,axiom, % 166.23/166.26 ! [V_f_2,V_F_2,T_b] : % 166.23/166.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 166.23/166.26 => ( 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) % 166.23/166.26 <=> ! [B_x] : % 166.23/166.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 166.23/166.26 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__le__self__iff,axiom, % 166.23/166.26 ! [V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Olinordered__ab__group__add(T_b) % 166.23/166.26 => ( 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)) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_neg__le__0__iff__le,axiom, % 166.23/166.26 ! [V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_le__minus__self__iff,axiom, % 166.23/166.26 ! [V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Olinordered__ab__group__add(T_b) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_neg__0__le__iff__le,axiom, % 166.23/166.26 ! [V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_less__minus__self__iff,axiom, % 166.23/166.26 ! [V_a_2,T_b] : % 166.23/166.26 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_neg__0__less__iff__less,axiom, % 166.23/166.26 ! [V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_neg__less__0__iff__less,axiom, % 166.23/166.26 ! [V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.26 => ( 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))) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_neg__less__nonneg,axiom, % 166.23/166.26 ! [V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Olinordered__ab__group__add(T_b) % 166.23/166.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 166.23/166.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_minus__unique,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_a) % 166.23/166.26 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_ab__left__minus,axiom, % 166.23/166.26 ! [V_a,T_a] : % 166.23/166.26 ( class_Groups_Oab__group__add(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_left__minus,axiom, % 166.23/166.26 ! [V_a,T_a] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_eq__neg__iff__add__eq__0,axiom, % 166.23/166.26 ! [V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_b) % 166.23/166.26 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 166.23/166.26 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_right__minus,axiom, % 166.23/166.26 ! [V_a,T_a] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_diff__0,axiom, % 166.23/166.26 ! [V_a,T_a] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_diff__minus__eq__add,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Rings_Ocomm__ring__1(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_ab__diff__minus,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Groups_Oab__group__add(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_diff__def,axiom, % 166.23/166.26 ! [V_b,V_a,T_a] : % 166.23/166.26 ( class_Groups_Ogroup__add(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_square__eq__1__iff,axiom, % 166.23/166.26 ! [V_x_2,T_b] : % 166.23/166.26 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 166.23/166.26 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 166.23/166.26 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b) % 166.23/166.26 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 166.23/166.26 ! [V_x,T_a] : % 166.23/166.26 ( class_Rings_Ocomm__ring__1(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_inf__compl__bot,axiom, % 166.23/166.26 ! [V_x,T_a] : % 166.23/166.26 ( class_Lattices_Oboolean__algebra(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_compl__inf__bot,axiom, % 166.23/166.26 ! [V_x,T_a] : % 166.23/166.26 ( class_Lattices_Oboolean__algebra(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_diff__eq,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Lattices_Oboolean__algebra(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_compl__bot__eq,axiom, % 166.23/166.26 ! [T_a] : % 166.23/166.26 ( class_Lattices_Oboolean__algebra(T_a) % 166.23/166.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_compl__top__eq,axiom, % 166.23/166.26 ! [T_a] : % 166.23/166.26 ( class_Lattices_Oboolean__algebra(T_a) % 166.23/166.26 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_compl__inf,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Lattices_Oboolean__algebra(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_compl__sup,axiom, % 166.23/166.26 ! [V_y,V_x,T_a] : % 166.23/166.26 ( class_Lattices_Oboolean__algebra(T_a) % 166.23/166.26 => 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)) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_sup__compl__top,axiom, % 166.23/166.26 ! [V_x,T_a] : % 166.23/166.26 ( class_Lattices_Oboolean__algebra(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_compl__sup__top,axiom, % 166.23/166.26 ! [V_x,T_a] : % 166.23/166.26 ( class_Lattices_Oboolean__algebra(T_a) % 166.23/166.26 => 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) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_abs__ge__minus__self,axiom, % 166.23/166.26 ! [V_a,T_a] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.26 => 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))) ) ). % 166.23/166.26 % 166.23/166.26 fof(fact_abs__le__iff,axiom, % 166.23/166.26 ! [V_b_2,V_a_2,T_b] : % 166.23/166.26 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 166.23/166.26 => ( 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)) % 166.23/166.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 166.23/166.26 & 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)) ) ) ) ). % 166.23/166.26 % 166.23/166.27 fof(fact_abs__leI,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_abs__le__D2,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_abs__less__iff,axiom, % 166.23/166.27 ! [V_b_2,V_a_2,T_b] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 166.23/166.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_subset__Compl__self__eq,axiom, % 166.23/166.27 ! [V_A_2,T_b] : % 166.23/166.27 ( 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))) % 166.23/166.27 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__empty__eq,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__UNIV__eq,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_finite__compl,axiom, % 166.23/166.27 ! [V_A_2,T_b] : % 166.23/166.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 166.23/166.27 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__disjoint,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__disjoint2,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 166.23/166.27 ! [V_f_2,V_A_2,T_b] : % 166.23/166.27 ( ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.27 & class_Groups_Ocomm__monoid__mult(T_b) ) % 166.23/166.27 => ( c_Nat__Transfer_Onat__set(V_A_2) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__partition,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__partition2,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__Int,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__Un,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_minus__max__eq__min,axiom, % 166.23/166.27 ! [V_y,V_x,T_a] : % 166.23/166.27 ( class_Groups_Olinordered__ab__group__add(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_minus__min__eq__max,axiom, % 166.23/166.27 ! [V_y,V_x,T_a] : % 166.23/166.27 ( class_Groups_Olinordered__ab__group__add(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_image__uminus__atLeastAtMost,axiom, % 166.23/166.27 ! [V_y_2,V_x_2,T_b] : % 166.23/166.27 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__eq__Diff__UNIV,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__Diff__eq,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Diff__Compl,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Diff__eq,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod_Odistrib,axiom, % 166.23/166.27 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Ints__minus,axiom, % 166.23/166.27 ! [V_a_2,T_b] : % 166.23/166.27 ( class_Rings_Oring__1(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_image__uminus__greaterThanLessThan,axiom, % 166.23/166.27 ! [V_y_2,V_x_2,T_b] : % 166.23/166.27 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__eq,axiom, % 166.23/166.27 ! [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))) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__atLeast,axiom, % 166.23/166.27 ! [V_k_2,T_b] : % 166.23/166.27 ( class_Orderings_Olinorder(T_b) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__lessThan,axiom, % 166.23/166.27 ! [V_k_2,T_b] : % 166.23/166.27 ( class_Orderings_Olinorder(T_b) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Collect__imp__eq,axiom, % 166.23/166.27 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__atMost,axiom, % 166.23/166.27 ! [V_k_2,T_b] : % 166.23/166.27 ( class_Orderings_Olinorder(T_b) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Compl__greaterThan,axiom, % 166.23/166.27 ! [V_k_2,T_b] : % 166.23/166.27 ( class_Orderings_Olinorder(T_b) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_weak__coinduct,axiom, % 166.23/166.27 ! [V_f_2,V_X_2,V_a_2,T_b] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 166.23/166.27 => ( 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))) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__pos__nat__iff,axiom, % 166.23/166.27 ! [V_f_2,V_S_2,T_b] : % 166.23/166.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> ! [B_x] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__reindex__cong,axiom, % 166.23/166.27 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_d) % 166.23/166.27 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.27 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 166.23/166.27 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2) % 166.23/166.27 => 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) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__reindex,axiom, % 166.23/166.27 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_d) % 166.23/166.27 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_abs__minus__le__zero,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.27 => 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))) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_abs__of__nonpos,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_abs__if,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Groups_Oabs__if(T_a) % 166.23/166.27 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_abs__of__neg,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__delta_H,axiom, % 166.23/166.27 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 166.23/166.27 => 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) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 166.23/166.27 => 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) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__delta,axiom, % 166.23/166.27 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 166.23/166.27 => 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) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 166.23/166.27 => 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) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_disjoint__eq__subset__Compl,axiom, % 166.23/166.27 ! [V_B_2,V_A_2,T_b] : % 166.23/166.27 ( 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)) % 166.23/166.27 <=> 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))) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_surj__Compl__image__subset,axiom, % 166.23/166.27 ! [V_A_2,V_f_2,T_b,T_c] : % 166.23/166.27 ( 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)) % 166.23/166.27 => 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)))) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_gfp__lemma3,axiom, % 166.23/166.27 ! [V_f_2,T_b] : % 166.23/166.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_gfp__lemma2,axiom, % 166.23/166.27 ! [V_f_2,T_b] : % 166.23/166.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 166.23/166.27 => 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)))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_image__uminus__greaterThanAtMost,axiom, % 166.23/166.27 ! [V_y_2,V_x_2,T_b] : % 166.23/166.27 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_image__uminus__atLeastLessThan,axiom, % 166.23/166.27 ! [V_y_2,V_x_2,T_b] : % 166.23/166.27 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_image__uminus__lessThan,axiom, % 166.23/166.27 ! [V_x_2,T_b] : % 166.23/166.27 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_image__uminus__greaterThan,axiom, % 166.23/166.27 ! [V_x_2,T_b] : % 166.23/166.27 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_image__uminus__atMost,axiom, % 166.23/166.27 ! [V_x_2,T_b] : % 166.23/166.27 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_image__uminus__atLeast,axiom, % 166.23/166.27 ! [V_x_2,T_b] : % 166.23/166.27 ( class_Groups_Oordered__ab__group__add(T_b) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod_Oinsert,axiom, % 166.23/166.27 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.23/166.27 => 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__insert,axiom, % 166.23/166.27 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.27 => 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Pow__Compl,axiom, % 166.23/166.27 ! [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))))) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__Un__Int,axiom, % 166.23/166.27 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.27 => 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod_Ounion__inter,axiom, % 166.23/166.27 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.27 => 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_weak__coinduct__image,axiom, % 166.23/166.27 ! [V_f_2,V_g_2,T_c,V_X_2,V_a_2,T_b] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 166.23/166.27 => ( 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)))) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod_Oreindex,axiom, % 166.23/166.27 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 166.23/166.27 => 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) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod_OF__eq,axiom, % 166.23/166.27 ! [V_g_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => 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) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => 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) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod_Oeq__fold,axiom, % 166.23/166.27 ! [V_g_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_compl__unique,axiom, % 166.23/166.27 ! [V_y,V_x,T_a] : % 166.23/166.27 ( class_Lattices_Oboolean__algebra(T_a) % 166.23/166.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 166.23/166.27 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 166.23/166.27 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_gfp__fun__UnI2,axiom, % 166.23/166.27 ! [V_X_2,V_a_2,V_f_2,T_b] : % 166.23/166.27 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 166.23/166.27 => ( 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))) % 166.23/166.27 => 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))))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_inj__image__Compl__subset,axiom, % 166.23/166.27 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.27 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.23/166.27 => 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)))) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_vimage__if,axiom, % 166.23/166.27 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] : % 166.23/166.27 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.23/166.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 166.23/166.27 => 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)) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 166.23/166.27 => 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 ) ) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 166.23/166.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 166.23/166.27 => 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) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 166.23/166.27 => 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)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod_Oinsert__remove,axiom, % 166.23/166.27 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => 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)))))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__Un__disjoint,axiom, % 166.23/166.27 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.27 => ( 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)) % 166.23/166.27 => 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)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod_Ounion__disjoint,axiom, % 166.23/166.27 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.27 => ( 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)) % 166.23/166.27 => 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)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_def__coinduct,axiom, % 166.23/166.27 ! [V_X_2,V_f_2,V_A_2,T_b] : % 166.23/166.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.27 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 166.23/166.27 => ( 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)))) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),V_A_2)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_coinduct__lemma,axiom, % 166.23/166.27 ! [V_f_2,V_X_2,T_b] : % 166.23/166.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.27 => ( 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))))) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 166.23/166.27 => 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))))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_coinduct,axiom, % 166.23/166.27 ! [V_X_2,V_f_2,T_b] : % 166.23/166.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 166.23/166.27 => ( 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))))) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_minus__Max__eq__Min,axiom, % 166.23/166.27 ! [V_S_2,T_b] : % 166.23/166.27 ( class_Groups_Olinordered__ab__group__add(T_b) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.27 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.27 => 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_minus__Min__eq__Max,axiom, % 166.23/166.27 ! [V_S_2,T_b] : % 166.23/166.27 ( class_Groups_Olinordered__ab__group__add(T_b) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.27 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.23/166.27 => 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_coinduct__set,axiom, % 166.23/166.27 ! [V_X_2,V_a_2,V_f_2,T_b] : % 166.23/166.27 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 166.23/166.27 => ( 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))))) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_def__coinduct3,axiom, % 166.23/166.27 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] : % 166.23/166.27 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 166.23/166.27 => ( 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))))) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_coinduct3,axiom, % 166.23/166.27 ! [V_X_2,V_a_2,V_f_2,T_b] : % 166.23/166.27 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 166.23/166.27 => ( 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)))))) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod_Ounion__inter__neutral,axiom, % 166.23/166.27 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.27 => ( ! [B_x] : % 166.23/166.27 ( 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))) % 166.23/166.27 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 166.23/166.27 => 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)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__Un__one,axiom, % 166.23/166.27 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 166.23/166.27 => ( ! [B_x] : % 166.23/166.27 ( 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))) % 166.23/166.27 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 166.23/166.27 => 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)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_def__Collect__coinduct,axiom, % 166.23/166.27 ! [V_X_2,V_a_2,V_Pa_2,T_b,V_A_2] : % 166.23/166.27 ( 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_Pa_2)) % 166.23/166.27 => ( 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_Pa_2)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 166.23/166.27 => ( ! [B_z] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_z),V_X_2)) % 166.23/166.27 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2)),B_z)) ) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_negative__zle,axiom, % 166.23/166.27 ! [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))) ). % 166.23/166.27 % 166.23/166.27 fof(fact_negative__zless,axiom, % 166.23/166.27 ! [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))) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zminus__zadd__distrib,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zminus__0,axiom, % 166.23/166.27 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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmult__zminus,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_lfp__const,axiom, % 166.23/166.27 ! [V_t_2,T_b] : % 166.23/166.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.27 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,hAPP(c_COMBK(T_b,T_b),V_t_2)) = V_t_2 ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_lfp__lowerbound,axiom, % 166.23/166.27 ! [V_A_2,V_f_2,T_b] : % 166.23/166.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_A_2)),V_A_2)) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_lfp__unfold,axiom, % 166.23/166.27 ! [V_f_2,T_b] : % 166.23/166.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_def__lfp__unfold,axiom, % 166.23/166.27 ! [V_f_2,V_h_2,T_b] : % 166.23/166.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.27 => ( V_h_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 166.23/166.27 => V_h_2 = hAPP(V_f_2,V_h_2) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zadd__zminus__inverse2,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_negative__eq__positive,axiom, % 166.23/166.27 ! [V_m_2,V_n_2] : % 166.23/166.27 ( 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) % 166.23/166.27 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.27 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_not__int__zless__negative,axiom, % 166.23/166.27 ! [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)))) ). % 166.23/166.27 % 166.23/166.27 fof(fact_diff__int__def__symmetric,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_diff__int__def,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_int__zle__neg,axiom, % 166.23/166.27 ! [V_m_2,V_n_2] : % 166.23/166.27 ( 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)))) % 166.23/166.27 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.27 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_negative__zle__0,axiom, % 166.23/166.27 ! [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))) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nat__zminus__int,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zabs__def,axiom, % 166.23/166.27 ! [V_i] : % 166.23/166.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_neg__zminus__int,axiom, % 166.23/166.27 ! [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))))) ). % 166.23/166.27 % 166.23/166.27 fof(fact_lfp__lemma3,axiom, % 166.23/166.27 ! [V_f_2,T_b] : % 166.23/166.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 166.23/166.27 => 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)))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_lfp__lemma2,axiom, % 166.23/166.27 ! [V_f_2,T_b] : % 166.23/166.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_not__zle__0__negative,axiom, % 166.23/166.27 ! [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))))) ). % 166.23/166.27 % 166.23/166.27 fof(fact_negative__zless__0,axiom, % 166.23/166.27 ! [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))) ). % 166.23/166.27 % 166.23/166.27 fof(fact_lfp__induct,axiom, % 166.23/166.27 ! [V_Pa_2,V_f_2,T_b] : % 166.23/166.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 166.23/166.27 => ( 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_Pa_2))),V_Pa_2)) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_Pa_2)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_def__lfp__induct,axiom, % 166.23/166.27 ! [V_Pa_2,V_f_2,V_A_2,T_b] : % 166.23/166.27 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.23/166.27 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 166.23/166.27 => ( 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_Pa_2))),V_Pa_2)) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_A_2),V_Pa_2)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nat__mult__distrib__neg,axiom, % 166.23/166.27 ! [V_z_H,V_z] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => 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))) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_coinduct3__lemma,axiom, % 166.23/166.27 ! [V_f_2,V_X_2,T_b] : % 166.23/166.27 ( 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)))))) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 166.23/166.27 => 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)))))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 166.23/166.27 ! [V_f_2,V_A_2,T_b] : % 166.23/166.27 ( ! [B_x] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.27 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_lfp__induct__set,axiom, % 166.23/166.27 ! [V_Pa_2,V_f_2,V_a_2,T_b] : % 166.23/166.27 ( 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))) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 166.23/166.27 => ( ! [B_x] : % 166.23/166.27 ( 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_Pa_2))))) % 166.23/166.27 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.23/166.27 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_def__lfp__induct__set,axiom, % 166.23/166.27 ! [V_Pa_2,V_a_2,V_f_2,T_b,V_A_2] : % 166.23/166.27 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 166.23/166.27 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.27 => ( ! [B_x] : % 166.23/166.27 ( 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_Pa_2))))) % 166.23/166.27 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.23/166.27 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__gen__delta,axiom, % 166.23/166.27 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.23/166.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 166.23/166.27 => 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)))) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 166.23/166.27 => 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)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zminus__zminus,axiom, % 166.23/166.27 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 166.23/166.27 % 166.23/166.27 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 166.23/166.27 ! [V_n,V_x] : % 166.23/166.27 ( c_Nat__Transfer_Ois__nat(V_x) % 166.23/166.27 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 166.23/166.27 ! [V_x,T_a] : % 166.23/166.27 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.27 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_int__power,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zpower__int,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zpower__zpower,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 166.23/166.27 ! [V_q,V_p,V_x,T_a] : % 166.23/166.27 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 166.23/166.27 ! [V_q,V_y,V_x,T_a] : % 166.23/166.27 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 166.23/166.27 ! [V_n,V_x] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nat__power__eq,axiom, % 166.23/166.27 ! [V_n,V_z] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 166.23/166.27 ! [V_q,V_x,T_a] : % 166.23/166.27 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 166.23/166.27 ! [V_q,V_x,T_a] : % 166.23/166.27 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 166.23/166.27 ! [V_q,V_x,T_a] : % 166.23/166.27 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 166.23/166.27 ! [V_x,T_a] : % 166.23/166.27 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 166.23/166.27 ! [V_q,V_p,V_x,T_a] : % 166.23/166.27 ( class_Rings_Ocomm__semiring__1(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 166.23/166.27 ! [V_n,V_x] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.23/166.27 => 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))) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zpower__zadd__distrib,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Ints__power,axiom, % 166.23/166.27 ! [V_n_2,V_a_2,T_b] : % 166.23/166.27 ( class_Rings_Oring__1(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zero__le__zpower__abs,axiom, % 166.23/166.27 ! [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))) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__constant,axiom, % 166.23/166.27 ! [V_y_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__eq__if,axiom, % 166.23/166.27 ! [V_p,V_m] : % 166.23/166.27 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.27 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 166.23/166.27 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.27 => 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)))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zero__less__zpower__abs__iff,axiom, % 166.23/166.27 ! [V_n_2,V_x_2] : % 166.23/166.27 ( 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))) % 166.23/166.27 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.27 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_card__Pow,axiom, % 166.23/166.27 ! [V_A_2,T_b] : % 166.23/166.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__strict__mono,axiom, % 166.23/166.27 ! [V_n,V_b,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.23/166.27 => 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))) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_one__less__power,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__increasing__iff,axiom, % 166.23/166.27 ! [V_y_2,V_x_2,V_b_2,T_b] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__le__imp__le__exp,axiom, % 166.23/166.27 ! [V_n,V_m,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 166.23/166.27 => ( 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))) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_field__power__not__zero,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 166.23/166.27 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__Suc__0,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 166.23/166.27 ! [V_m_2,V_x_2] : % 166.23/166.27 ( 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)) % 166.23/166.27 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.27 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nat__power__less__imp__less,axiom, % 166.23/166.27 ! [V_n,V_m,V_i] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 166.23/166.27 => ( 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))) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nat__zero__less__power__iff,axiom, % 166.23/166.27 ! [V_n_2,V_x_2] : % 166.23/166.27 ( 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))) % 166.23/166.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 166.23/166.27 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__mult__distrib,axiom, % 166.23/166.27 ! [V_n,V_b,V_a,T_a] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__commutes,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Groups_Omonoid__mult(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__one,axiom, % 166.23/166.27 ! [V_n,T_a] : % 166.23/166.27 ( class_Groups_Omonoid__mult(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__nat__power,axiom, % 166.23/166.27 ! [V_n,V_m,T_a] : % 166.23/166.27 ( class_Rings_Osemiring__1(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__mult,axiom, % 166.23/166.27 ! [V_n,V_m,V_a,T_a] : % 166.23/166.27 ( class_Groups_Omonoid__mult(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__abs,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__one__right,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Groups_Omonoid__mult(T_a) % 166.23/166.27 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__mono,axiom, % 166.23/166.27 ! [V_n,V_b,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zero__le__power,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zero__less__power,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__eq__0__iff,axiom, % 166.23/166.27 ! [V_n_2,V_a_2,T_b] : % 166.23/166.27 ( ( class_Power_Opower(T_b) % 166.23/166.27 & class_Rings_Omult__zero(T_b) % 166.23/166.27 & class_Rings_Ono__zero__divisors(T_b) % 166.23/166.27 & class_Rings_Ozero__neq__one(T_b) ) % 166.23/166.27 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.27 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.27 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_one__le__power,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__0__Suc,axiom, % 166.23/166.27 ! [V_n,T_a] : % 166.23/166.27 ( ( class_Power_Opower(T_a) % 166.23/166.27 & class_Rings_Osemiring__0(T_a) ) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__inject__exp,axiom, % 166.23/166.27 ! [V_n_2,V_m_2,V_a_2,T_b] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)) % 166.23/166.27 => ( 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) % 166.23/166.27 <=> V_m_2 = V_n_2 ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__Suc,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Power_Opower(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__Suc2,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Groups_Omonoid__mult(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nat__one__le__power,axiom, % 166.23/166.27 ! [V_n,V_i] : % 166.23/166.27 ( 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)) % 166.23/166.27 => 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))) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__0,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Power_Opower(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__add,axiom, % 166.23/166.27 ! [V_n,V_m,V_a,T_a] : % 166.23/166.27 ( class_Groups_Omonoid__mult(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_abs__power__minus,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__less__imp__less__base,axiom, % 166.23/166.27 ! [V_b,V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( 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))) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__inject__base,axiom, % 166.23/166.27 ! [V_b,V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( 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)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.27 => V_a = V_b ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__le__imp__le__base,axiom, % 166.23/166.27 ! [V_b,V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( 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)))) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__gt1__lemma,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 166.23/166.27 => 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)))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__less__power__Suc,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 166.23/166.27 => 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)))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__0__left,axiom, % 166.23/166.27 ! [V_n,T_a] : % 166.23/166.27 ( ( class_Power_Opower(T_a) % 166.23/166.27 & class_Rings_Osemiring__0(T_a) ) % 166.23/166.27 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.27 => 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) ) % 166.23/166.27 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.27 => 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) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__gt1,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 166.23/166.27 => 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)))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__strict__increasing__iff,axiom, % 166.23/166.27 ! [V_y_2,V_x_2,V_b_2,T_b] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__less__imp__less__exp,axiom, % 166.23/166.27 ! [V_n,V_m,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 166.23/166.27 => ( 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))) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__strict__increasing,axiom, % 166.23/166.27 ! [V_a,V_N,V_n,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zero__le__power__abs,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.27 => 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))) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__increasing,axiom, % 166.23/166.27 ! [V_a,V_N,V_n,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__minus,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Oring__1(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__Suc__less,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__eq__imp__eq__base,axiom, % 166.23/166.27 ! [V_b,V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( 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) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.23/166.27 => V_a = V_b ) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__Suc__less__one,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__strict__decreasing,axiom, % 166.23/166.27 ! [V_a,V_N,V_n,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 166.23/166.27 => 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))) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__decreasing,axiom, % 166.23/166.27 ! [V_a,V_N,V_n,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__semidom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 166.23/166.27 => 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))) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__power__power,axiom, % 166.23/166.27 ! [T_b] : % 166.23/166.27 ( class_Power_Opower(T_b) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_int__power__div__base,axiom, % 166.23/166.27 ! [V_k,V_m] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 166.23/166.27 => 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)))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__of__nat,axiom, % 166.23/166.27 ! [V_k,T_a] : % 166.23/166.27 ( class_Rings_Oring__1(T_a) % 166.23/166.27 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => 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)))) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__diff1,axiom, % 166.23/166.27 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Fields_Ofield(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c) % 166.23/166.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.27 => 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)) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.23/166.27 => 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) ) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__divide,axiom, % 166.23/166.27 ! [V_n,V_b,V_a,T_a] : % 166.23/166.27 ( class_Fields_Ofield__inverse__zero(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__int__eq,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__0,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__by__0,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__by__1,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 166.23/166.27 ! [V_y,V_x] : % 166.23/166.27 ( c_Nat__Transfer_Ois__nat(V_x) % 166.23/166.27 => ( c_Nat__Transfer_Ois__nat(V_y) % 166.23/166.27 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__zero,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__zero__left,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_add__divide__distrib,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_times__divide__eq__right,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__eq__iff,axiom, % 166.23/166.27 ! [V_z_2,V_w_2,T_b] : % 166.23/166.27 ( class_Int_Oring__char__0(T_b) % 166.23/166.27 => ( 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) % 166.23/166.27 <=> V_w_2 = V_z_2 ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiv__zero,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__1,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_a) % 166.23/166.27 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_diff__divide__distrib,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_minus__divide__left,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiv__zminus__zminus,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiv__zminus2,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setsum__divide__distrib,axiom, % 166.23/166.27 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 166.23/166.27 ( class_Fields_Ofield(T_b) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nonzero__eq__divide__eq,axiom, % 166.23/166.27 ! [V_b_2,V_a_2,V_c_2,T_b] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_b) % 166.23/166.27 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.27 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 166.23/166.27 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nonzero__divide__eq__eq,axiom, % 166.23/166.27 ! [V_a_2,V_b_2,V_c_2,T_b] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_b) % 166.23/166.27 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.27 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 166.23/166.27 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__eq__imp,axiom, % 166.23/166.27 ! [V_a,V_b,V_c,T_a] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_a) % 166.23/166.27 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 166.23/166.27 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_eq__divide__imp,axiom, % 166.23/166.27 ! [V_b,V_a,V_c,T_a] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_a) % 166.23/166.27 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 166.23/166.27 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_right__inverse__eq,axiom, % 166.23/166.27 ! [V_a_2,V_b_2,T_b] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_b) % 166.23/166.27 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.27 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b) % 166.23/166.27 <=> V_a_2 = V_b_2 ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__self,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_a) % 166.23/166.27 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__self__if,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 166.23/166.27 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 166.23/166.27 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nonzero__minus__divide__divide,axiom, % 166.23/166.27 ! [V_a,V_b,T_a] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_a) % 166.23/166.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nonzero__minus__divide__right,axiom, % 166.23/166.27 ! [V_a,V_b,T_a] : % 166.23/166.27 ( class_Rings_Odivision__ring(T_a) % 166.23/166.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nonzero__power__divide,axiom, % 166.23/166.27 ! [V_n,V_a,V_b,T_a] : % 166.23/166.27 ( class_Fields_Ofield(T_a) % 166.23/166.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 166.23/166.27 ! [V_y,V_x] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 166.23/166.27 ! [V_a_2,V_b_2] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 166.23/166.27 ! [V_a_2,V_b_2] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__neg__pos__less0,axiom, % 166.23/166.27 ! [V_b,V_a] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__one__over,axiom, % 166.23/166.27 ! [V_n,V_a,T_a] : % 166.23/166.27 ( class_Fields_Ofield__inverse__zero(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiv__self,axiom, % 166.23/166.27 ! [V_a] : % 166.23/166.27 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__mult__mult1,axiom, % 166.23/166.27 ! [V_b,V_a,V_c,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__mult__mult2,axiom, % 166.23/166.27 ! [V_b,V_a,V_c,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__mult__self1__is__id,axiom, % 166.23/166.27 ! [V_a,V_b,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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 ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__mult__self2__is__id,axiom, % 166.23/166.27 ! [V_a,V_b,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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 ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__mult__mult1__if,axiom, % 166.23/166.27 ! [V_b,V_a,V_c,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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) ) % 166.23/166.27 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__self,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__eq__0__iff,axiom, % 166.23/166.27 ! [V_z_2,T_b] : % 166.23/166.27 ( class_Int_Oring__char__0(T_b) % 166.23/166.27 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.27 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__0__eq__iff,axiom, % 166.23/166.27 ! [V_z_2,T_b] : % 166.23/166.27 ( class_Int_Oring__char__0(T_b) % 166.23/166.27 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 166.23/166.27 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__0,axiom, % 166.23/166.27 ! [T_a] : % 166.23/166.27 ( class_Rings_Oring__1(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__le__iff,axiom, % 166.23/166.27 ! [V_z_2,V_w_2,T_b] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__less__iff,axiom, % 166.23/166.27 ! [V_z_2,V_w_2,T_b] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__add,axiom, % 166.23/166.27 ! [V_z,V_w,T_a] : % 166.23/166.27 ( class_Rings_Oring__1(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__mult,axiom, % 166.23/166.27 ! [V_z,V_w,T_a] : % 166.23/166.27 ( class_Rings_Oring__1(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__dividef,axiom, % 166.23/166.27 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Fields_Ofield__inverse__zero(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__1,axiom, % 166.23/166.27 ! [T_a] : % 166.23/166.27 ( class_Rings_Oring__1(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__diff,axiom, % 166.23/166.27 ! [V_z,V_w,T_a] : % 166.23/166.27 ( class_Rings_Oring__1(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__of__nat__eq,axiom, % 166.23/166.27 ! [V_n,T_a] : % 166.23/166.27 ( class_Rings_Oring__1(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__minus,axiom, % 166.23/166.27 ! [V_z,T_a] : % 166.23/166.27 ( class_Rings_Oring__1(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Ints__of__int,axiom, % 166.23/166.27 ! [V_z_2,T_b] : % 166.23/166.27 ( class_Rings_Oring__1(T_b) % 166.23/166.27 => 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))) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__power,axiom, % 166.23/166.27 ! [V_n,V_z,T_a] : % 166.23/166.27 ( class_Rings_Oring__1(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiv__mono1__neg,axiom, % 166.23/166.27 ! [V_b,V_a_H,V_a] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiv__mono1,axiom, % 166.23/166.27 ! [V_b,V_a_H,V_a] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__neg__neg__trivial,axiom, % 166.23/166.27 ! [V_b,V_a] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 166.23/166.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiv__mono2__neg,axiom, % 166.23/166.27 ! [V_b,V_b_H,V_a] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__nonpos__pos__le0,axiom, % 166.23/166.27 ! [V_b,V_a] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 166.23/166.27 ! [V_a_2,V_b_2] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__pos__pos__trivial,axiom, % 166.23/166.27 ! [V_b,V_a] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 166.23/166.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__nonneg__neg__le0,axiom, % 166.23/166.27 ! [V_b,V_a] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiv__mono2,axiom, % 166.23/166.27 ! [V_b,V_b_H,V_a] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 166.23/166.27 ! [V_b_2,V_a_2] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2)) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 166.23/166.27 ! [V_i_2,V_k_2] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 166.23/166.27 ! [V_a_2,V_b_2] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiv__eq__0__iff,axiom, % 166.23/166.27 ! [V_k_2,V_i_2] : % 166.23/166.27 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.27 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.27 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 166.23/166.27 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_int__div__less__self,axiom, % 166.23/166.27 ! [V_k,V_x] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiv__zmult2__eq,axiom, % 166.23/166.27 ! [V_b,V_a,V_c] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power_Opower_Opower__0,axiom, % 166.23/166.27 ! [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 ). % 166.23/166.27 % 166.23/166.27 fof(fact_power_Opower_Opower__Suc,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__mult__self1,axiom, % 166.23/166.27 ! [V_c,V_a,V_b,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__mult__self2,axiom, % 166.23/166.27 ! [V_c,V_a,V_b,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__add__self1,axiom, % 166.23/166.27 ! [V_a,V_b,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__add__self2,axiom, % 166.23/166.27 ! [V_a,V_b,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__setsum,axiom, % 166.23/166.27 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.27 ( class_Rings_Oring__1(T_b) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__setprod,axiom, % 166.23/166.27 ! [V_A_2,V_f_2,T_c,T_b] : % 166.23/166.27 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 166.23/166.27 & class_Rings_Oring__1(T_b) ) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_power__diff,axiom, % 166.23/166.27 ! [V_m,V_n,V_a,T_a] : % 166.23/166.27 ( class_Fields_Ofield(T_a) % 166.23/166.27 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 166.23/166.27 => 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__0__le__iff,axiom, % 166.23/166.27 ! [V_z_2,T_b] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__le__0__iff,axiom, % 166.23/166.27 ! [V_z_2,T_b] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__0__less__iff,axiom, % 166.23/166.27 ! [V_z_2,T_b] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__int__less__0__iff,axiom, % 166.23/166.27 ! [V_z_2,T_b] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_of__nat__nat,axiom, % 166.23/166.27 ! [V_z,T_a] : % 166.23/166.27 ( class_Rings_Oring__1(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divmod__int__rel__div__eq,axiom, % 166.23/166.27 ! [V_r_1,V_y,V_b_1,V_a_1] : % 166.23/166.27 ( 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) % 166.23/166.27 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 166.23/166.27 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_split__zdiv,axiom, % 166.23/166.27 ! [V_k_2,V_n_2,V_Pa_2] : % 166.23/166.27 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2))) % 166.23/166.27 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.27 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.23/166.27 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 166.23/166.27 => ! [B_i] : % 166.23/166.27 ( ? [B_j] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 166.23/166.27 & 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) ) % 166.23/166.27 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) % 166.23/166.27 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => ! [B_i] : % 166.23/166.27 ( ? [B_j] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 & 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) ) % 166.23/166.27 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_geometric__sum,axiom, % 166.23/166.27 ! [V_n_2,V_x_2,T_b] : % 166.23/166.27 ( class_Fields_Ofield(T_b) % 166.23/166.27 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_le__divide__eq,axiom, % 166.23/166.27 ! [V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.27 => 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)) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.27 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 => 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))) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__le__eq,axiom, % 166.23/166.27 ! [V_a_2,V_c_2,V_b_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.23/166.27 => ( 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)) % 166.23/166.27 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.27 => 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))) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.27 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 => 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)) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_pos__le__divide__eq,axiom, % 166.23/166.27 ! [V_b_2,V_a_2,V_c_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_pos__divide__le__eq,axiom, % 166.23/166.27 ! [V_a_2,V_b_2,V_c_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.27 => ( 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)) % 166.23/166.27 <=> 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__mult2__eq,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__le__dividend,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__le__mono,axiom, % 166.23/166.27 ! [V_k,V_n,V_m] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 166.23/166.27 => 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))) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__1,axiom, % 166.23/166.27 ! [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 ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__less,axiom, % 166.23/166.27 ! [V_n,V_m] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nat__mult__div__cancel__disj,axiom, % 166.23/166.27 ! [V_n,V_m,V_k] : % 166.23/166.27 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.27 => 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) ) % 166.23/166.27 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiv__int,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__le__mono2,axiom, % 166.23/166.27 ! [V_k,V_n,V_m] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__mult__self__is__m,axiom, % 166.23/166.27 ! [V_m,V_n] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.23/166.27 => 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 ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__mult__self1__is__m,axiom, % 166.23/166.27 ! [V_m,V_n] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.23/166.27 => 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 ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nat__mult__div__cancel1,axiom, % 166.23/166.27 ! [V_n,V_m,V_k] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__less__dividend,axiom, % 166.23/166.27 ! [V_m,V_n] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__if,axiom, % 166.23/166.27 ! [V_m,V_n] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.23/166.27 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.27 => 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__geq,axiom, % 166.23/166.27 ! [V_m,V_n] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.23/166.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_split__div,axiom, % 166.23/166.27 ! [V_k_2,V_n_2,V_Pa_2] : % 166.23/166.27 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2))) % 166.23/166.27 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.27 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 166.23/166.27 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.27 => ! [B_i,B_j] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 166.23/166.27 => ( 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) % 166.23/166.27 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nat__div__distrib,axiom, % 166.23/166.27 ! [V_y,V_x] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 166.23/166.27 ! [V_y,V_x] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_le__div__geq,axiom, % 166.23/166.27 ! [V_m,V_n] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_split__div__lemma,axiom, % 166.23/166.27 ! [V_m_2,V_q_2,V_n_2] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 166.23/166.27 => ( ( 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)) % 166.23/166.27 & 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)))) ) % 166.23/166.27 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_split__div_H,axiom, % 166.23/166.27 ! [V_n_2,V_m_2,V_Pa_2] : % 166.23/166.27 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2))) % 166.23/166.27 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.23/166.27 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 166.23/166.27 | ? [B_q] : % 166.23/166.27 ( 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)) % 166.23/166.27 & 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)))) % 166.23/166.27 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_times__divide__times__eq,axiom, % 166.23/166.27 ! [V_w,V_z,V_y,V_x,T_a] : % 166.23/166.27 ( class_Fields_Ofield__inverse__zero(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_minus__divide__divide,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Fields_Ofield__inverse__zero(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_minus__divide__right,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Fields_Ofield__inverse__zero(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_abs__divide,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__right__mono__neg,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__right__mono,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__le__0__iff,axiom, % 166.23/166.27 ! [V_b_2,V_a_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 166.23/166.27 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zero__le__divide__iff,axiom, % 166.23/166.27 ! [V_b_2,V_a_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 166.23/166.27 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__strict__right__mono__neg,axiom, % 166.23/166.27 ! [V_c,V_a,V_b,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__strict__right__mono,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__neg__neg,axiom, % 166.23/166.27 ! [V_y,V_x,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__neg__pos,axiom, % 166.23/166.27 ! [V_y,V_x,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__pos__neg,axiom, % 166.23/166.27 ! [V_y,V_x,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__pos__pos,axiom, % 166.23/166.27 ! [V_y,V_x,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__less__0__iff,axiom, % 166.23/166.27 ! [V_b_2,V_a_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 166.23/166.27 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zero__less__divide__iff,axiom, % 166.23/166.27 ! [V_b_2,V_a_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 166.23/166.27 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_frac__eq__eq,axiom, % 166.23/166.27 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] : % 166.23/166.27 ( class_Fields_Ofield(T_b) % 166.23/166.27 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.27 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.27 => ( 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) % 166.23/166.27 <=> 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) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mult__divide__mult__cancel__left,axiom, % 166.23/166.27 ! [V_b,V_a,V_c,T_a] : % 166.23/166.27 ( class_Fields_Ofield__inverse__zero(T_a) % 166.23/166.27 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mult__divide__mult__cancel__right,axiom, % 166.23/166.27 ! [V_b,V_a,V_c,T_a] : % 166.23/166.27 ( class_Fields_Ofield__inverse__zero(T_a) % 166.23/166.27 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__eq__eq,axiom, % 166.23/166.27 ! [V_a_2,V_c_2,V_b_2,T_b] : % 166.23/166.27 ( class_Fields_Ofield__inverse__zero(T_b) % 166.23/166.27 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 166.23/166.27 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.27 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) % 166.23/166.27 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.27 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_eq__divide__eq,axiom, % 166.23/166.27 ! [V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.27 ( class_Fields_Ofield__inverse__zero(T_b) % 166.23/166.27 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 166.23/166.27 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.27 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) % 166.23/166.27 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.27 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_nonzero__abs__divide,axiom, % 166.23/166.27 ! [V_a,V_b,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__nonpos__neg,axiom, % 166.23/166.27 ! [V_y,V_x,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__nonpos__pos,axiom, % 166.23/166.27 ! [V_y,V_x,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_frac__le,axiom, % 166.23/166.27 ! [V_z,V_w,V_y,V_x,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 166.23/166.27 => 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))) ) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_frac__less,axiom, % 166.23/166.27 ! [V_z,V_w,V_y,V_x,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 166.23/166.27 => 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))) ) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_frac__less2,axiom, % 166.23/166.27 ! [V_z,V_w,V_y,V_x,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 166.23/166.27 => 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))) ) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__nonneg__neg,axiom, % 166.23/166.27 ! [V_y,V_x,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__nonneg__pos,axiom, % 166.23/166.27 ! [V_y,V_x,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__strict__left__mono__neg,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => ( 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))) % 166.23/166.27 => 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))) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__strict__left__mono,axiom, % 166.23/166.27 ! [V_c,V_a,V_b,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.27 => ( 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))) % 166.23/166.27 => 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))) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_neg__divide__less__eq,axiom, % 166.23/166.27 ! [V_a_2,V_b_2,V_c_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 => ( 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)) % 166.23/166.27 <=> 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_neg__less__divide__eq,axiom, % 166.23/166.27 ! [V_b_2,V_a_2,V_c_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mult__imp__less__div__pos,axiom, % 166.23/166.27 ! [V_x,V_z,V_y,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.23/166.27 => ( 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)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mult__imp__div__pos__less,axiom, % 166.23/166.27 ! [V_z,V_x,V_y,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.23/166.27 => ( 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))) % 166.23/166.27 => 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_pos__divide__less__eq,axiom, % 166.23/166.27 ! [V_a_2,V_b_2,V_c_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.27 => ( 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)) % 166.23/166.27 <=> 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_pos__less__divide__eq,axiom, % 166.23/166.27 ! [V_b_2,V_a_2,V_c_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__less__eq,axiom, % 166.23/166.27 ! [V_a_2,V_c_2,V_b_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.23/166.27 => ( 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)) % 166.23/166.27 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.27 => 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))) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.27 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 => 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)) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_less__divide__eq,axiom, % 166.23/166.27 ! [V_c_2,V_b_2,V_a_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.27 => 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)) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.23/166.27 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 => 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))) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_add__frac__eq,axiom, % 166.23/166.27 ! [V_w,V_x,V_z,V_y,T_a] : % 166.23/166.27 ( class_Fields_Ofield(T_a) % 166.23/166.27 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__add__eq__iff,axiom, % 166.23/166.27 ! [V_y,V_x,V_z,T_a] : % 166.23/166.27 ( class_Fields_Ofield(T_a) % 166.23/166.27 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_add__frac__num,axiom, % 166.23/166.27 ! [V_z,V_x,V_y,T_a] : % 166.23/166.27 ( class_Fields_Ofield__inverse__zero(T_a) % 166.23/166.27 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_add__divide__eq__iff,axiom, % 166.23/166.27 ! [V_y,V_x,V_z,T_a] : % 166.23/166.27 ( class_Fields_Ofield(T_a) % 166.23/166.27 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_add__num__frac,axiom, % 166.23/166.27 ! [V_x,V_z,V_y,T_a] : % 166.23/166.27 ( class_Fields_Ofield__inverse__zero(T_a) % 166.23/166.27 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_diff__divide__eq__iff,axiom, % 166.23/166.27 ! [V_y,V_x,V_z,T_a] : % 166.23/166.27 ( class_Fields_Ofield(T_a) % 166.23/166.27 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__diff__eq__iff,axiom, % 166.23/166.27 ! [V_y,V_x,V_z,T_a] : % 166.23/166.27 ( class_Fields_Ofield(T_a) % 166.23/166.27 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_diff__frac__eq,axiom, % 166.23/166.27 ! [V_w,V_x,V_z,V_y,T_a] : % 166.23/166.27 ( class_Fields_Ofield(T_a) % 166.23/166.27 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.27 => 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_less__half__sum,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.27 => 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))))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_gt__half__sum,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_abs__div__pos,axiom, % 166.23/166.27 ! [V_x,V_y,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.23/166.27 => 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)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__left__mono__neg,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => ( 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))) % 166.23/166.27 => 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))) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_divide__left__mono,axiom, % 166.23/166.27 ! [V_c,V_a,V_b,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 166.23/166.27 => ( 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))) % 166.23/166.27 => 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))) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_neg__divide__le__eq,axiom, % 166.23/166.27 ! [V_a_2,V_b_2,V_c_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 => ( 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)) % 166.23/166.27 <=> 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_neg__le__divide__eq,axiom, % 166.23/166.27 ! [V_b_2,V_a_2,V_c_2,T_b] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_b) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.23/166.27 => ( 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))) % 166.23/166.27 <=> 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mult__imp__le__div__pos,axiom, % 166.23/166.27 ! [V_x,V_z,V_y,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.23/166.27 => ( 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)) % 166.23/166.27 => 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))) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mult__imp__div__pos__le,axiom, % 166.23/166.27 ! [V_z,V_x,V_y,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.23/166.27 => ( 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))) % 166.23/166.27 => 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)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_z3div__def,axiom, % 166.23/166.27 ! [V_k,V_l] : % 166.23/166.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 166.23/166.27 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 166.23/166.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__Un,axiom, % 166.23/166.27 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 166.23/166.27 ( class_Fields_Ofield(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 166.23/166.27 => ( ! [B_x] : % 166.23/166.27 ( 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))) % 166.23/166.27 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) ) % 166.23/166.27 => 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))) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_negD,axiom, % 166.23/166.27 ! [V_x] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => ? [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))) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_strong__setprod__reindex__cong,axiom, % 166.23/166.27 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_d) % 166.23/166.27 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.23/166.27 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 166.23/166.27 => ( ! [B_x] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.23/166.27 => 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) ) % 166.23/166.27 => 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) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__mono__one__right,axiom, % 166.23/166.27 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 166.23/166.27 => ( ! [B_x] : % 166.23/166.27 ( 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))) % 166.23/166.27 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 166.23/166.27 => 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) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_setprod__mono__one__left,axiom, % 166.23/166.27 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 166.23/166.27 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.23/166.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 166.23/166.27 => ( ! [B_x] : % 166.23/166.27 ( 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))) % 166.23/166.27 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 166.23/166.27 => 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) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_field__le__mult__one__interval,axiom, % 166.23/166.27 ! [V_y,V_x,T_a] : % 166.23/166.27 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 166.23/166.27 => ( ! [B_z] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 166.23/166.27 => 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)) ) ) % 166.23/166.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 166.23/166.27 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 166.23/166.27 ( ( class_Groups_Ocomm__monoid__add(T_b) % 166.23/166.27 & class_Groups_Ocomm__monoid__mult(T_b) ) % 166.23/166.27 => ( V_A_2 = V_B_2 % 166.23/166.27 => ( c_Nat__Transfer_Onat__set(V_B_2) % 166.23/166.27 => ( ! [B_x] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 166.23/166.27 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 166.23/166.27 => 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) ) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_split__pos__lemma,axiom, % 166.23/166.27 ! [V_n_2,V_Pa_2,V_k_2] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 166.23/166.27 <=> ! [B_i,B_j] : % 166.23/166.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 166.23/166.27 & 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) ) % 166.23/166.27 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_split__neg__lemma,axiom, % 166.23/166.27 ! [V_n_2,V_Pa_2,V_k_2] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 166.23/166.27 <=> ! [B_i,B_j] : % 166.23/166.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 166.23/166.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 & 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) ) % 166.23/166.27 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_sgn__neg,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.23/166.27 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_sgn__1__neg,axiom, % 166.23/166.27 ! [V_a_2,T_b] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.27 => ( 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)) % 166.23/166.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zpower__zmod,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 166.23/166.27 ! [V_y,V_x] : % 166.23/166.27 ( c_Nat__Transfer_Ois__nat(V_x) % 166.23/166.27 => ( c_Nat__Transfer_Ois__nat(V_y) % 166.23/166.27 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__add__self2,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__add__self1,axiom, % 166.23/166.27 ! [V_a,V_b,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__add__right__eq,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__add__left__eq,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__add__eq,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__simps_I2_J,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__simps_I1_J,axiom, % 166.23/166.27 ! [V_b,V_c,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__add__cong,axiom, % 166.23/166.27 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 166.23/166.27 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 166.23/166.27 => 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) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__mult__cong,axiom, % 166.23/166.27 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 166.23/166.27 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 166.23/166.27 => 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) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__simps_I4_J,axiom, % 166.23/166.27 ! [V_b,V_c,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__mult__mult2,axiom, % 166.23/166.27 ! [V_b,V_c,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__mult__mult1,axiom, % 166.23/166.27 ! [V_b,V_a,V_c,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__mult__eq,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__mult__left__eq,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__mult__right__eq,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__mod__trivial,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_sgn__sgn,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__0,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__by__0,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__self,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__diff__right__eq,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Oring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__diff__left__eq,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Oring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__diff__eq,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Oring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__diff__cong,axiom, % 166.23/166.27 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 166.23/166.27 ( class_Divides_Oring__div(T_a) % 166.23/166.27 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 166.23/166.27 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 166.23/166.27 => 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) ) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__simps_I3_J,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__zmult1__eq,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__self,axiom, % 166.23/166.27 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__zero,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiff__zmod__right,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiff__zmod__left,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__minus__cong,axiom, % 166.23/166.27 ! [V_a_H,V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Oring__div(T_a) % 166.23/166.27 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 166.23/166.27 => 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) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zminus__zmod,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__zminus__zminus,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__minus__eq,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Oring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__zminus2,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_sgn0,axiom, % 166.23/166.27 ! [T_a] : % 166.23/166.27 ( class_Groups_Osgn__if(T_a) % 166.23/166.27 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_sgn__0__0,axiom, % 166.23/166.27 ! [V_a_2,T_b] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.27 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.23/166.27 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_sgn__times,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__mult__self1__is__0,axiom, % 166.23/166.27 ! [V_a,V_b,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__mult__self2__is__0,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__mult__self1,axiom, % 166.23/166.27 ! [V_b,V_c,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__mult__self2,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__by__1,axiom, % 166.23/166.27 ! [V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__div__trivial,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__le__nonneg__dividend,axiom, % 166.23/166.27 ! [V_k,V_m] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 166.23/166.27 ! [V_y,V_x] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.23/166.27 => 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_pos__mod__bound,axiom, % 166.23/166.27 ! [V_a,V_b] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.23/166.27 => 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)) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_neg__mod__bound,axiom, % 166.23/166.27 ! [V_a,V_b] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => 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))) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__eq__0__iff,axiom, % 166.23/166.27 ! [V_d_2,V_m_2] : % 166.23/166.27 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.27 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__zminus1__not__zero,axiom, % 166.23/166.27 ! [V_l,V_k] : % 166.23/166.27 ( 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) % 166.23/166.27 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__zminus2__not__zero,axiom, % 166.23/166.27 ! [V_l,V_k] : % 166.23/166.27 ( 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) % 166.23/166.27 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zmod__zdiv__trivial,axiom, % 166.23/166.27 ! [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) ). % 166.23/166.27 % 166.23/166.27 fof(fact_DIVISION__BY__ZERO,axiom, % 166.23/166.27 ! [V_a] : % 166.23/166.27 ( 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) % 166.23/166.27 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_zdiv__zadd1__eq,axiom, % 166.23/166.27 ! [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)) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__mod__equality,axiom, % 166.23/166.27 ! [V_c,V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_div__mod__equality2,axiom, % 166.23/166.27 ! [V_c,V_a,V_b,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__div__equality,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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 ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__div__equality2,axiom, % 166.23/166.27 ! [V_a,V_b,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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 ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 166.23/166.27 ! [V_b,V_a,T_a] : % 166.23/166.27 ( class_Divides_Osemiring__div(T_a) % 166.23/166.27 => 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 ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__neg__neg__trivial,axiom, % 166.23/166.27 ! [V_b,V_a] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 166.23/166.27 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_neg__mod__conj,axiom, % 166.23/166.27 ! [V_a,V_b] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => ( 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))) % 166.23/166.27 & 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))) ) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_neg__mod__sign,axiom, % 166.23/166.27 ! [V_a,V_b] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.27 => 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))) ) ). % 166.23/166.27 % 166.23/166.27 fof(fact_mod__pos__pos__trivial,axiom, % 166.23/166.27 ! [V_b,V_a] : % 166.23/166.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.23/166.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 166.23/166.28 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_pos__mod__conj,axiom, % 166.23/166.28 ! [V_a,V_b] : % 166.23/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.23/166.28 => ( 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))) % 166.23/166.28 & 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)) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_pos__mod__sign,axiom, % 166.23/166.28 ! [V_a,V_b] : % 166.23/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.23/166.28 => 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))) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_sgn__greater,axiom, % 166.23/166.28 ! [V_a_2,T_b] : % 166.23/166.28 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.28 => ( 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))) % 166.23/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_sgn__less,axiom, % 166.23/166.28 ! [V_a_2,T_b] : % 166.23/166.28 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.28 => ( 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))) % 166.23/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zmod__zminus1__eq__if,axiom, % 166.23/166.28 ! [V_b,V_a] : % 166.23/166.28 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => 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) ) % 166.23/166.28 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => 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)) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zmod__zminus2__eq__if,axiom, % 166.23/166.28 ! [V_b,V_a] : % 166.23/166.28 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => 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) ) % 166.23/166.28 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => 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) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zdiv__zmod__equality2,axiom, % 166.23/166.28 ! [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) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zdiv__zmod__equality,axiom, % 166.23/166.28 ! [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) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zdiv__zmult1__eq,axiom, % 166.23/166.28 ! [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)) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zmod__zdiv__equality,axiom, % 166.23/166.28 ! [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)) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zmod__zdiv__equality_H,axiom, % 166.23/166.28 ! [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)) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zmult__div__cancel,axiom, % 166.23/166.28 ! [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)) ). % 166.23/166.28 % 166.23/166.28 fof(fact_mult__sgn__abs,axiom, % 166.23/166.28 ! [V_x,T_a] : % 166.23/166.28 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.28 => 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 ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_abs__sgn,axiom, % 166.23/166.28 ! [V_k,T_a] : % 166.23/166.28 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.28 => 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)) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_mod__pos__neg__trivial,axiom, % 166.23/166.28 ! [V_b,V_a] : % 166.23/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.23/166.28 => ( 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))) % 166.23/166.28 => 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) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_sgn__pos,axiom, % 166.23/166.28 ! [V_a,T_a] : % 166.23/166.28 ( class_Rings_Olinordered__idom(T_a) % 166.23/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 166.23/166.28 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_sgn__1__pos,axiom, % 166.23/166.28 ! [V_a_2,T_b] : % 166.23/166.28 ( class_Rings_Olinordered__idom(T_b) % 166.23/166.28 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b) % 166.23/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_divmod__int__rel__mod__eq,axiom, % 166.23/166.28 ! [V_y,V_q_1,V_b_1,V_a_1] : % 166.23/166.28 ( 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) % 166.23/166.28 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 166.23/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.23/166.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 166.23/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 166.23/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 166.23/166.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 166.23/166.28 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zmult2__lemma__aux2,axiom, % 166.23/166.28 ! [V_q,V_r,V_b,V_c] : % 166.23/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 166.23/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 166.23/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.28 => 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))) ) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zmult2__lemma__aux1,axiom, % 166.23/166.28 ! [V_q,V_r,V_b,V_c] : % 166.23/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 166.23/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 166.23/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.28 => 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))) ) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zmult2__lemma__aux4,axiom, % 166.23/166.28 ! [V_q,V_b,V_r,V_c] : % 166.23/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 166.23/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 166.23/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 166.23/166.28 => 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))) ) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zmult2__lemma__aux3,axiom, % 166.23/166.28 ! [V_q,V_b,V_r,V_c] : % 166.23/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 166.23/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 166.23/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 166.23/166.28 => 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))) ) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_split__zmod,axiom, % 166.23/166.28 ! [V_k_2,V_n_2,V_Pa_2] : % 166.23/166.28 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 166.23/166.28 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => hBOOL(hAPP(V_Pa_2,V_n_2)) ) % 166.23/166.28 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 166.23/166.28 => ! [B_i,B_j] : % 166.23/166.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 166.23/166.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 166.23/166.28 & 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) ) % 166.23/166.28 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) % 166.23/166.28 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.28 => ! [B_i,B_j] : % 166.23/166.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 166.23/166.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.23/166.28 & 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) ) % 166.23/166.28 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zmod__zmult2__eq,axiom, % 166.23/166.28 ! [V_b,V_a,V_c] : % 166.23/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 166.23/166.28 => 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)) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zdiv__zminus1__eq__if,axiom, % 166.23/166.28 ! [V_a,V_b] : % 166.23/166.28 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => 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)) ) % 166.23/166.28 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => 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)) ) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zdiv__zminus2__eq__if,axiom, % 166.23/166.28 ! [V_a,V_b] : % 166.23/166.28 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => 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)) ) % 166.23/166.28 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => 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)) ) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_zsgn__def,axiom, % 166.23/166.28 ! [V_i] : % 166.23/166.28 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.23/166.28 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.23/166.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 166.23/166.28 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 166.23/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 166.23/166.28 => 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)) ) ) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_sgn__if,axiom, % 166.23/166.28 ! [V_x,T_a] : % 166.23/166.28 ( class_Groups_Osgn__if(T_a) % 166.23/166.28 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.28 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 166.23/166.28 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 166.23/166.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.23/166.28 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 166.23/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.23/166.28 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 166.23/166.28 % 166.23/166.28 fof(fact_z3mod__def,axiom, % 166.23/166.28 ! [V_k,V_l] : % 166.23/166.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 166.52/166.28 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_setprod__pos__nat,axiom, % 166.52/166.28 ! [V_f_2,V_S_2,T_b] : % 166.52/166.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 166.52/166.28 => ( ! [B_x] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 166.52/166.28 => 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))) ) % 166.52/166.28 => 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))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_card__quotient__disjoint,axiom, % 166.52/166.28 ! [V_r_2,V_A_2,T_b] : % 166.52/166.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.28 => ( 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) % 166.52/166.28 => 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) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_fold__image__cong,axiom, % 166.52/166.28 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] : % 166.52/166.28 ( class_Groups_Oab__semigroup__mult(T_c) % 166.52/166.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.28 => ( ! [B_x] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.28 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 166.52/166.28 => 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) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__mult__distrib,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__mult__distrib2,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__less__eq__dividend,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__less,axiom, % 166.52/166.28 ! [V_n,V_m] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.52/166.28 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_quotient__empty,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_quotient__is__empty2,axiom, % 166.52/166.28 ! [V_r_2,V_A_2,T_b] : % 166.52/166.28 ( 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) % 166.52/166.28 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_quotient__is__empty,axiom, % 166.52/166.28 ! [V_r_2,V_A_2,T_b] : % 166.52/166.28 ( 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)) % 166.52/166.28 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__Suc,axiom, % 166.52/166.28 ! [V_n,V_m] : % 166.52/166.28 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 166.52/166.28 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.52/166.28 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__1,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__less__divisor,axiom, % 166.52/166.28 ! [V_m,V_n] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__eq__0__iff,axiom, % 166.52/166.28 ! [V_d_2,V_m_2] : % 166.52/166.28 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.28 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__geq,axiom, % 166.52/166.28 ! [V_n,V_m] : % 166.52/166.28 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__if,axiom, % 166.52/166.28 ! [V_n,V_m] : % 166.52/166.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.52/166.28 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.52/166.28 => 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) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__mult__self3,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_le__mod__geq,axiom, % 166.52/166.28 ! [V_m,V_n] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zmod__int,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_div__add1__eq,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__le__divisor,axiom, % 166.52/166.28 ! [V_m,V_n] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__mult__self4,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_div__mult1__eq,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__mult2__eq,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_div__mod__equality_H,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mult__div__cancel,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Divides_Omod__div__equality_H,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_quotient__diff1,axiom, % 166.52/166.28 ! [V_a_2,V_A_2,V_r_2,T_b] : % 166.52/166.28 ( 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) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_split__mod,axiom, % 166.52/166.28 ! [V_k_2,V_n_2,V_Pa_2] : % 166.52/166.28 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2))) % 166.52/166.28 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.28 => hBOOL(hAPP(V_Pa_2,V_n_2)) ) % 166.52/166.28 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.28 => ! [B_i,B_j] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 166.52/166.28 => ( 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) % 166.52/166.28 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__lemma,axiom, % 166.52/166.28 ! [V_q,V_b,V_r,V_c] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 166.52/166.28 => 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))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Suc__times__mod__eq,axiom, % 166.52/166.28 ! [V_m,V_k] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 166.52/166.28 ! [V_y,V_x] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__mod__distrib,axiom, % 166.52/166.28 ! [V_y,V_x] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_quotient__def,axiom, % 166.52/166.28 ! [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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_singleton__quotient,axiom, % 166.52/166.28 ! [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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_quotientI,axiom, % 166.52/166.28 ! [V_r_2,V_A_2,V_x_2,T_b] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Max__eqI,axiom, % 166.52/166.28 ! [V_x_2,V_A_2,T_b] : % 166.52/166.28 ( class_Orderings_Olinorder(T_b) % 166.52/166.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.28 => ( ! [B_y] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 166.52/166.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) ) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.28 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Image__eq__UN,axiom, % 166.52/166.28 ! [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))))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Image__Int__subset,axiom, % 166.52/166.28 ! [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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Image__UN,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_quotientE,axiom, % 166.52/166.28 ! [V_r_2,V_A_2,V_X_2,T_b] : % 166.52/166.28 ( 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))) % 166.52/166.28 => ~ ! [B_x] : % 166.52/166.28 ( 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)))) % 166.52/166.28 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Image__empty,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Image__mono,axiom, % 166.52/166.28 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] : % 166.52/166.28 ( 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)) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 166.52/166.28 => 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))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Un__Image,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Image__Un,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__mod__eq__lemma,axiom, % 166.52/166.28 ! [V_y,V_n,V_x] : % 166.52/166.28 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 166.52/166.28 => ? [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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__induct__0,axiom, % 166.52/166.28 ! [V_i_2,V_Pa_2,V_p_2] : % 166.52/166.28 ( ! [B_i] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 166.52/166.28 => ( hBOOL(hAPP(V_Pa_2,B_i)) % 166.52/166.28 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 166.52/166.28 => ( hBOOL(hAPP(V_Pa_2,V_i_2)) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 166.52/166.28 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Min__eqI,axiom, % 166.52/166.28 ! [V_x_2,V_A_2,T_b] : % 166.52/166.28 ( class_Orderings_Olinorder(T_b) % 166.52/166.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.28 => ( ! [B_y] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 166.52/166.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) ) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.28 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_expand__Suc,axiom, % 166.52/166.28 ! [V_v] : % 166.52/166.28 ( 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))) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of__eq,axiom, % 166.52/166.28 ! [V_k,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_of__int__number__of__eq,axiom, % 166.52/166.28 ! [V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_of__nat__number__of__lemma,axiom, % 166.52/166.28 ! [V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => ( ( 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))) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => 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) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_of__nat__number__of__eq,axiom, % 166.52/166.28 ! [V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__by__empty,axiom, % 166.52/166.28 ! [V_B_2,T_b,V_A_2] : % 166.52/166.28 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of__reorient,axiom, % 166.52/166.28 ! [V_x_2,V_w_2,T_b] : % 166.52/166.28 ( class_Int_Onumber(T_b) % 166.52/166.28 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2 % 166.52/166.28 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_eq__number__of,axiom, % 166.52/166.28 ! [V_y_2,V_x_2,T_b] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_b) % 166.52/166.28 & class_Int_Oring__char__0(T_b) ) % 166.52/166.28 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 166.52/166.28 <=> V_x_2 = V_y_2 ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_le__number__of__eq__not__less,axiom, % 166.52/166.28 ! [V_w_2,V_v_2,T_b] : % 166.52/166.28 ( ( class_Int_Onumber(T_b) % 166.52/166.28 & class_Orderings_Olinorder(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> ~ 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))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_left__distrib__number__of,axiom, % 166.52/166.28 ! [V_v,V_b,V_a,T_b] : % 166.52/166.28 ( ( class_Int_Onumber(T_b) % 166.52/166.28 & class_Rings_Osemiring(T_b) ) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_right__distrib__number__of,axiom, % 166.52/166.28 ! [V_c,V_b,V_v,T_b] : % 166.52/166.28 ( ( class_Int_Onumber(T_b) % 166.52/166.28 & class_Rings_Osemiring(T_b) ) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_left__diff__distrib__number__of,axiom, % 166.52/166.28 ! [V_v,V_b,V_a,T_b] : % 166.52/166.28 ( ( class_Int_Onumber(T_b) % 166.52/166.28 & class_Rings_Oring(T_b) ) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_right__diff__distrib__number__of,axiom, % 166.52/166.28 ! [V_c,V_b,V_v,T_b] : % 166.52/166.28 ( ( class_Int_Onumber(T_b) % 166.52/166.28 & class_Rings_Oring(T_b) ) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_le__number__of,axiom, % 166.52/166.28 ! [V_y_2,V_x_2,T_b] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_b) % 166.52/166.28 & class_Rings_Olinordered__idom(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__number__of,axiom, % 166.52/166.28 ! [V_y_2,V_x_2,T_b] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_b) % 166.52/166.28 & class_Rings_Olinordered__idom(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_min__number__of,axiom, % 166.52/166.28 ! [V_v,V_u,T_b] : % 166.52/166.28 ( ( class_Int_Onumber(T_b) % 166.52/166.28 & class_Orderings_Oord(T_b) ) % 166.52/166.28 => ( ( 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))) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => 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) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_max__number__of,axiom, % 166.52/166.28 ! [V_v,V_u,T_b] : % 166.52/166.28 ( ( class_Int_Onumber(T_b) % 166.52/166.28 & class_Orderings_Oord(T_b) ) % 166.52/166.28 => ( ( 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))) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => 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) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__number__of__left,axiom, % 166.52/166.28 ! [V_z,V_w,V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__number__of__eq,axiom, % 166.52/166.28 ! [V_w,V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of__add,axiom, % 166.52/166.28 ! [V_w,V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of__mult,axiom, % 166.52/166.28 ! [V_w,V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_arith__simps_I32_J,axiom, % 166.52/166.28 ! [V_w,V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mult__number__of__left,axiom, % 166.52/166.28 ! [V_z,V_w,V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of__diff,axiom, % 166.52/166.28 ! [V_w,V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_arith__simps_I30_J,axiom, % 166.52/166.28 ! [V_w,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of__minus,axiom, % 166.52/166.28 ! [V_w,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Ints__number__of,axiom, % 166.52/166.28 ! [V_w_2,T_b] : % 166.52/166.28 ( class_Int_Onumber__ring(T_b) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_divide__eq__eq__number__of1,axiom, % 166.52/166.28 ! [V_a_2,V_w_2,V_b_2,T_b] : % 166.52/166.28 ( ( class_Fields_Ofield__inverse__zero(T_b) % 166.52/166.28 & class_Int_Onumber(T_b) ) % 166.52/166.28 => ( 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 % 166.52/166.28 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.52/166.28 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_divide__eq__eq__number__of,axiom, % 166.52/166.28 ! [V_w_2,V_c_2,V_b_2,T_b] : % 166.52/166.28 ( ( class_Fields_Ofield__inverse__zero(T_b) % 166.52/166.28 & class_Int_Onumber(T_b) ) % 166.52/166.28 => ( 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) % 166.52/166.28 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.52/166.28 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_eq__divide__eq__number__of,axiom, % 166.52/166.28 ! [V_c_2,V_b_2,V_w_2,T_b] : % 166.52/166.28 ( ( class_Fields_Ofield__inverse__zero(T_b) % 166.52/166.28 & class_Int_Onumber(T_b) ) % 166.52/166.28 => ( 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) % 166.52/166.28 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.52/166.28 => 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 ) % 166.52/166.28 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.52/166.28 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_eq__divide__eq__number__of1,axiom, % 166.52/166.28 ! [V_w_2,V_b_2,V_a_2,T_b] : % 166.52/166.28 ( ( class_Fields_Ofield__inverse__zero(T_b) % 166.52/166.28 & class_Int_Onumber(T_b) ) % 166.52/166.28 => ( 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)) % 166.52/166.28 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 166.52/166.28 => 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 ) % 166.52/166.28 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.52/166.28 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__number__of__diff1,axiom, % 166.52/166.28 ! [V_c,V_w,V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_minus__number__of__mult,axiom, % 166.52/166.28 ! [V_z,V_w,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__number__of__eq,axiom, % 166.52/166.28 ! [V_w,V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_divide__less__eq__number__of1,axiom, % 166.52/166.28 ! [V_a_2,V_w_2,V_b_2,T_b] : % 166.52/166.28 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.52/166.28 & class_Int_Onumber(T_b) ) % 166.52/166.28 => ( 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)) % 166.52/166.28 <=> ( ( 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))) % 166.52/166.28 => 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)))) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => ( ( 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))) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_divide__less__eq__number__of,axiom, % 166.52/166.28 ! [V_w_2,V_c_2,V_b_2,T_b] : % 166.52/166.28 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.52/166.28 & class_Int_Onumber(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.52/166.28 => 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))) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.52/166.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.52/166.28 => 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))) ) ) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__divide__eq__number__of,axiom, % 166.52/166.28 ! [V_c_2,V_b_2,V_w_2,T_b] : % 166.52/166.28 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.52/166.28 & class_Int_Onumber(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.52/166.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.52/166.28 => 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))) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.52/166.28 => 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))) ) ) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__divide__eq__number__of1,axiom, % 166.52/166.28 ! [V_w_2,V_b_2,V_a_2,T_b] : % 166.52/166.28 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.52/166.28 & class_Int_Onumber(T_b) ) % 166.52/166.28 => ( 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)))) % 166.52/166.28 <=> ( ( 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))) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => ( ( 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))) % 166.52/166.28 => 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)))) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_abs__number__of,axiom, % 166.52/166.28 ! [V_x,T_a] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_a) % 166.52/166.28 & class_Rings_Olinordered__idom(T_a) ) % 166.52/166.28 => ( ( 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))) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => 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) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__number__of__diff2,axiom, % 166.52/166.28 ! [V_w,V_c,V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_divide__le__eq__number__of1,axiom, % 166.52/166.28 ! [V_a_2,V_w_2,V_b_2,T_b] : % 166.52/166.28 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.52/166.28 & class_Int_Onumber(T_b) ) % 166.52/166.28 => ( 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)) % 166.52/166.28 <=> ( ( 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))) % 166.52/166.28 => 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)))) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => ( ( 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))) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_divide__le__eq__number__of,axiom, % 166.52/166.28 ! [V_w_2,V_c_2,V_b_2,T_b] : % 166.52/166.28 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.52/166.28 & class_Int_Onumber(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.52/166.28 => 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))) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.52/166.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.52/166.28 => 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))) ) ) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_le__divide__eq__number__of,axiom, % 166.52/166.28 ! [V_c_2,V_b_2,V_w_2,T_b] : % 166.52/166.28 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.52/166.28 & class_Int_Onumber(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 166.52/166.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.52/166.28 => 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))) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 166.52/166.28 => 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))) ) ) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_le__divide__eq__number__of1,axiom, % 166.52/166.28 ! [V_w_2,V_b_2,V_a_2,T_b] : % 166.52/166.28 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.52/166.28 & class_Int_Onumber(T_b) ) % 166.52/166.28 => ( 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)))) % 166.52/166.28 <=> ( ( 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))) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => ( ( 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))) % 166.52/166.28 => 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)))) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_one__mod__nat__number__of,axiom, % 166.52/166.28 ! [V_v_H] : % 166.52/166.28 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 166.52/166.28 => 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))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_one__div__nat__number__of,axiom, % 166.52/166.28 ! [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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power__number__of__odd__number__of,axiom, % 166.52/166.28 ! [V_v_2,V_w_2,T_b] : % 166.52/166.28 ( class_Int_Onumber__ring(T_b) % 166.52/166.28 => ( ( 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))) % 166.52/166.28 => 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))) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => 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) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power__nat__number__of,axiom, % 166.52/166.28 ! [V_n,V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__number__of__int__code,axiom, % 166.52/166.28 ! [V_l_2,V_k_2] : % 166.52/166.28 ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_neg__number__of__Bit1,axiom, % 166.52/166.28 ! [V_w_2] : % 166.52/166.28 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 166.52/166.28 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of__is__id,axiom, % 166.52/166.28 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__eq__number__of__int__code,axiom, % 166.52/166.28 ! [V_l_2,V_k_2] : % 166.52/166.28 ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I34_J,axiom, % 166.52/166.28 ! [V_l_2,V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__eq__int__code_I16_J,axiom, % 166.52/166.28 ! [V_k2_2,V_k1_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_plus__numeral__code_I9_J,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_times__numeral__code_I5_J,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_minus__numeral__code_I5_J,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__int__code_I16_J,axiom, % 166.52/166.28 ! [V_k2_2,V_k1_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I17_J,axiom, % 166.52/166.28 ! [V_l_2,V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I51_J,axiom, % 166.52/166.28 ! [V_l_2,V_k_2] : % 166.52/166.28 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 166.52/166.28 <=> V_k_2 = V_l_2 ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_int__number__of__def,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_bin__less__0__simps_I4_J,axiom, % 166.52/166.28 ! [V_w_2] : % 166.52/166.28 ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Bit1__def,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__number__of__def,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__number__of,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__number__of__Bit1,axiom, % 166.52/166.28 ! [V_w_2] : % 166.52/166.28 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 166.52/166.28 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 166.52/166.28 => 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)))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of__Bit1,axiom, % 166.52/166.28 ! [V_w,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power__number__of__odd,axiom, % 166.52/166.28 ! [V_z_2,V_w_2,T_b] : % 166.52/166.28 ( class_Int_Onumber__ring(T_b) % 166.52/166.28 => ( ( 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))) % 166.52/166.28 => 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))) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => 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) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zpower__number__of__odd,axiom, % 166.52/166.28 ! [V_z_2,V_w_2] : % 166.52/166.28 ( ( 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))) % 166.52/166.28 => 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))) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => 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) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_minus__numeral__code_I6_J,axiom, % 166.52/166.28 ! [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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_neg__imp__number__of__eq__0,axiom, % 166.52/166.28 ! [V_v] : % 166.52/166.28 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_int__eq__iff__number__of,axiom, % 166.52/166.28 ! [V_v_2,V_m_2] : % 166.52/166.28 ( 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) % 166.52/166.28 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 166.52/166.28 & 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))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_eq__nat__number__of,axiom, % 166.52/166.28 ! [V_v_H_2,V_v_2] : % 166.52/166.28 ( 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) % 166.52/166.28 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 166.52/166.28 => 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))) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 166.52/166.28 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 166.52/166.28 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 166.52/166.28 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__number__of__add__left,axiom, % 166.52/166.28 ! [V_k,V_v_H,V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 166.52/166.28 => 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) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_int__nat__number__of,axiom, % 166.52/166.28 ! [V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__nat__number__of,axiom, % 166.52/166.28 ! [V_v_H,V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 166.52/166.28 => 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))) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_div__nat__number__of,axiom, % 166.52/166.28 ! [V_v_H,V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power__nat__number__of__number__of,axiom, % 166.52/166.28 ! [V_w,V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Suc__nat__number__of__add,axiom, % 166.52/166.28 ! [V_n,V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__nat__number__of,axiom, % 166.52/166.28 ! [V_v_2,V_v_H_2] : % 166.52/166.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_min__Suc__number__of,axiom, % 166.52/166.28 ! [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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_min__number__of__Suc,axiom, % 166.52/166.28 ! [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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I46_J,axiom, % 166.52/166.28 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I39_J,axiom, % 166.52/166.28 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 166.52/166.28 % 166.52/166.28 fof(fact_succ__Pls,axiom, % 166.52/166.28 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__Pls,axiom, % 166.52/166.28 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__Pls__right,axiom, % 166.52/166.28 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 166.52/166.28 % 166.52/166.28 fof(fact_mult__Pls,axiom, % 166.52/166.28 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 166.52/166.28 % 166.52/166.28 fof(fact_succ__pred,axiom, % 166.52/166.28 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 166.52/166.28 % 166.52/166.28 fof(fact_Pls__def,axiom, % 166.52/166.28 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I2_J,axiom, % 166.52/166.28 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_minus__Pls,axiom, % 166.52/166.28 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__bin__simps_I1_J,axiom, % 166.52/166.28 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I19_J,axiom, % 166.52/166.28 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of__Pls,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_semiring__norm_I112_J,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__numeral__0__right,axiom, % 166.52/166.28 ! [V_a,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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 ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__numeral__0,axiom, % 166.52/166.28 ! [V_a,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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 ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_bin__less__0__simps_I1_J,axiom, % 166.52/166.28 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__number__of__Pls,axiom, % 166.52/166.28 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.52/166.28 % 166.52/166.28 fof(fact_semiring__norm_I113_J,axiom, % 166.52/166.28 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zero__is__num__zero,axiom, % 166.52/166.28 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I22_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I12_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Suc__diff__number__of,axiom, % 166.52/166.28 ! [V_m,V_v] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_not__neg__number__of__Pls,axiom, % 166.52/166.28 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__1__add__number__of,axiom, % 166.52/166.28 ! [V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__number__of__add__1,axiom, % 166.52/166.28 ! [V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_le__iff__pred__less,axiom, % 166.52/166.28 ! [V_l_2,V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_minus__Bit1,axiom, % 166.52/166.28 ! [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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_pred__def,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__number__of__diff__1,axiom, % 166.52/166.28 ! [V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mult__numeral__1__right,axiom, % 166.52/166.28 ! [V_a,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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 ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mult__numeral__1,axiom, % 166.52/166.28 ! [V_a,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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 ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_divide__Numeral0,axiom, % 166.52/166.28 ! [V_x,T_a] : % 166.52/166.28 ( ( class_Fields_Ofield__inverse__zero(T_a) % 166.52/166.28 & class_Int_Onumber__ring(T_a) ) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_semiring__norm_I110_J,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_numeral__1__eq__1,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_eq__number__of__0,axiom, % 166.52/166.28 ! [V_v_2] : % 166.52/166.28 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_eq__0__number__of,axiom, % 166.52/166.28 ! [V_v_2] : % 166.52/166.28 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of2,axiom, % 166.52/166.28 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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I5_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I29_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__nat__number__of,axiom, % 166.52/166.28 ! [V_v_H_2,V_v_2] : % 166.52/166.28 ( 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))) % 166.52/166.28 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 166.52/166.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 166.52/166.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_divide__numeral__1,axiom, % 166.52/166.28 ! [V_a,T_a] : % 166.52/166.28 ( ( class_Fields_Ofield(T_a) % 166.52/166.28 & class_Int_Onumber__ring(T_a) ) % 166.52/166.28 => 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 ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_divide__Numeral1,axiom, % 166.52/166.28 ! [V_x,T_a] : % 166.52/166.28 ( ( class_Fields_Ofield(T_a) % 166.52/166.28 & class_Int_Onumber__ring(T_a) ) % 166.52/166.28 => 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 ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_le__nat__number__of,axiom, % 166.52/166.28 ! [V_v_H_2,V_v_2] : % 166.52/166.28 ( 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))) % 166.52/166.28 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 166.52/166.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_one__is__num__one,axiom, % 166.52/166.28 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Numeral1__eq1__nat,axiom, % 166.52/166.28 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__numeral__1__eq__1,axiom, % 166.52/166.28 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 166.52/166.28 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_succ__def,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_le__special_I3_J,axiom, % 166.52/166.28 ! [V_x_2,T_b] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_b) % 166.52/166.28 & class_Rings_Olinordered__idom(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_le__special_I1_J,axiom, % 166.52/166.28 ! [V_y_2,T_b] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_b) % 166.52/166.28 & class_Rings_Olinordered__idom(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__special_I3_J,axiom, % 166.52/166.28 ! [V_x_2,T_b] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_b) % 166.52/166.28 & class_Rings_Olinordered__idom(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__special_I1_J,axiom, % 166.52/166.28 ! [V_y_2,T_b] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_b) % 166.52/166.28 & class_Rings_Olinordered__idom(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__0__number__of,axiom, % 166.52/166.28 ! [V_v_2] : % 166.52/166.28 ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_numeral__3__eq__3,axiom, % 166.52/166.28 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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_numeral__1__eq__Suc__0,axiom, % 166.52/166.28 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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power3__eq__cube,axiom, % 166.52/166.28 ! [V_a,T_a] : % 166.52/166.28 ( class_Groups_Omonoid__mult(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 166.52/166.28 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))))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Suc3__eq__add__3,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__nat__number__of,axiom, % 166.52/166.28 ! [V_v_H,V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.52/166.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 166.52/166.28 => 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)) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 166.52/166.28 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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 166.52/166.28 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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Nats__number__of,axiom, % 166.52/166.28 ! [V_w_2,T_b] : % 166.52/166.28 ( class_Int_Onumber__ring(T_b) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 166.52/166.28 => 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))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of__succ,axiom, % 166.52/166.28 ! [V_k,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of__pred,axiom, % 166.52/166.28 ! [V_w,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_le__special_I4_J,axiom, % 166.52/166.28 ! [V_x_2,T_b] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_b) % 166.52/166.28 & class_Rings_Olinordered__idom(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_le__special_I2_J,axiom, % 166.52/166.28 ! [V_y_2,T_b] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_b) % 166.52/166.28 & class_Rings_Olinordered__idom(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__special_I4_J,axiom, % 166.52/166.28 ! [V_x_2,T_b] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_b) % 166.52/166.28 & class_Rings_Olinordered__idom(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__special_I2_J,axiom, % 166.52/166.28 ! [V_y_2,T_b] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_b) % 166.52/166.28 & class_Rings_Olinordered__idom(T_b) ) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__special_I2_J,axiom, % 166.52/166.28 ! [V_w,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__special_I3_J,axiom, % 166.52/166.28 ! [V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Suc__diff__eq__diff__pred,axiom, % 166.52/166.28 ! [V_m,V_n] : % 166.52/166.28 ( 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)) % 166.52/166.28 => 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)))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__number__of__mult__left,axiom, % 166.52/166.28 ! [V_k,V_v_H,V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.52/166.28 => 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) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mult__nat__number__of,axiom, % 166.52/166.28 ! [V_v_H,V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.52/166.28 => 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) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_neg__number__of__pred__iff__0,axiom, % 166.52/166.28 ! [V_v_2] : % 166.52/166.28 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 166.52/166.28 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Suc__mod__eq__add3__mod,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod__Suc__eq__mod__add3,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Suc__div__eq__add3__div,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_div__Suc__eq__div__add3,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__special_I2_J,axiom, % 166.52/166.28 ! [V_v,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__special_I1_J,axiom, % 166.52/166.28 ! [V_w,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_eq__number__of__Suc,axiom, % 166.52/166.28 ! [V_n_2,V_v_2] : % 166.52/166.28 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2) % 166.52/166.28 <=> 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))))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Suc__eq__number__of,axiom, % 166.52/166.28 ! [V_v_2,V_n_2] : % 166.52/166.28 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 166.52/166.28 <=> 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))))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__case__number__of,axiom, % 166.52/166.28 ! [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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__Suc__number__of,axiom, % 166.52/166.28 ! [V_v_2,V_n_2] : % 166.52/166.28 ( 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))) % 166.52/166.28 <=> 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))))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__number__of__Suc,axiom, % 166.52/166.28 ! [V_n_2,V_v_2] : % 166.52/166.28 ( 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))) % 166.52/166.28 <=> 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)))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_le__number__of__Suc,axiom, % 166.52/166.28 ! [V_n_2,V_v_2] : % 166.52/166.28 ( 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))) % 166.52/166.28 <=> 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)))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_le__Suc__number__of,axiom, % 166.52/166.28 ! [V_v_2,V_n_2] : % 166.52/166.28 ( 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))) % 166.52/166.28 <=> 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))))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Suc__nat__number__of,axiom, % 166.52/166.28 ! [V_v] : % 166.52/166.28 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_max__number__of__Suc,axiom, % 166.52/166.28 ! [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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_max__Suc__number__of,axiom, % 166.52/166.28 ! [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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__case__add__eq__if,axiom, % 166.52/166.28 ! [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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__rec__add__eq__if,axiom, % 166.52/166.28 ! [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))))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_eq__special_I2_J,axiom, % 166.52/166.28 ! [V_y_2,T_b] : % 166.52/166.28 ( class_Int_Onumber__ring(T_b) % 166.52/166.28 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 166.52/166.28 <=> 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)))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_eq__special_I4_J,axiom, % 166.52/166.28 ! [V_x_2,T_b] : % 166.52/166.28 ( class_Int_Onumber__ring(T_b) % 166.52/166.28 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 166.52/166.28 <=> 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))))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__rec__number__of,axiom, % 166.52/166.28 ! [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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_iszero__0,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Rings_Osemiring__1(T_a) % 166.52/166.28 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_iszero__def,axiom, % 166.52/166.28 ! [V_z_2,T_b] : % 166.52/166.28 ( class_Rings_Osemiring__1(T_b) % 166.52/166.28 => ( c_Int_Oiszero(T_b,V_z_2) % 166.52/166.28 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_not__iszero__1,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Rings_Osemiring__1(T_a) % 166.52/166.28 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__rec__0,axiom, % 166.52/166.28 ! [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 ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__rec__Suc,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_iszero__Numeral0,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_iszero__number__of__Bit1,axiom, % 166.52/166.28 ! [V_w,T_a] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_a) % 166.52/166.28 & class_Int_Oring__char__0(T_a) ) % 166.52/166.28 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_not__iszero__Numeral1,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_eq__number__of__eq,axiom, % 166.52/166.28 ! [V_y_2,V_x_2,T_b] : % 166.52/166.28 ( class_Int_Onumber__ring(T_b) % 166.52/166.28 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 166.52/166.28 <=> 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)))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_eq__special_I1_J,axiom, % 166.52/166.28 ! [V_y_2,T_b] : % 166.52/166.28 ( class_Int_Onumber__ring(T_b) % 166.52/166.28 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 166.52/166.28 <=> 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)))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_eq__special_I3_J,axiom, % 166.52/166.28 ! [V_x_2,T_b] : % 166.52/166.28 ( class_Int_Onumber__ring(T_b) % 166.52/166.28 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b) % 166.52/166.28 <=> 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)))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zmod__number__of__Bit1,axiom, % 166.52/166.28 ! [V_v,V_w] : % 166.52/166.28 ( ( 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))) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_neg__zmod__mult__2,axiom, % 166.52/166.28 ! [V_b,V_a] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_arith__series__int,axiom, % 166.52/166.28 ! [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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I50_J,axiom, % 166.52/166.28 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I49_J,axiom, % 166.52/166.28 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I48_J,axiom, % 166.52/166.28 ! [V_l_2,V_k_2] : % 166.52/166.28 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 166.52/166.28 <=> V_k_2 = V_l_2 ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mult__Bit0,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Bit0__def,axiom, % 166.52/166.28 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__Bit0__Bit0,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I14_J,axiom, % 166.52/166.28 ! [V_l_2,V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__int__code_I13_J,axiom, % 166.52/166.28 ! [V_k2_2,V_k1_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_minus__Bit0,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__bin__simps_I7_J,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__eq__int__code_I13_J,axiom, % 166.52/166.28 ! [V_k2_2,V_k1_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I31_J,axiom, % 166.52/166.28 ! [V_l_2,V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I44_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 166.52/166.28 <=> V_k_2 = c_Int_OPls ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I38_J,axiom, % 166.52/166.28 ! [V_l_2] : % 166.52/166.28 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 166.52/166.28 <=> c_Int_OPls = V_l_2 ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Bit0__Pls,axiom, % 166.52/166.28 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 166.52/166.28 % 166.52/166.28 fof(fact_bin__less__0__simps_I3_J,axiom, % 166.52/166.28 ! [V_w_2] : % 166.52/166.28 ( 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))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I27_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I21_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__eq__int__code_I14_J,axiom, % 166.52/166.28 ! [V_k2_2,V_k1_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I32_J,axiom, % 166.52/166.28 ! [V_l_2,V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I10_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I4_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__int__code_I15_J,axiom, % 166.52/166.28 ! [V_k2_2,V_k1_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I16_J,axiom, % 166.52/166.28 ! [V_l_2,V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__Bit0__Bit1,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__Bit1__Bit0,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__bin__simps_I3_J,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__bin__simps_I9_J,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__bin__simps_I10_J,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zdiv__number__of__Bit0,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_neg__number__of__Bit0,axiom, % 166.52/166.28 ! [V_w_2] : % 166.52/166.28 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 166.52/166.28 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_pred__Bit0,axiom, % 166.52/166.28 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_pred__Bit1,axiom, % 166.52/166.28 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 166.52/166.28 % 166.52/166.28 fof(fact_iszero__number__of__Bit0,axiom, % 166.52/166.28 ! [V_w_2,T_b] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_b) % 166.52/166.28 & class_Int_Oring__char__0(T_b) ) % 166.52/166.28 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2))) % 166.52/166.28 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_succ__Bit1,axiom, % 166.52/166.28 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_succ__Bit0,axiom, % 166.52/166.28 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__number__of__Bit0,axiom, % 166.52/166.28 ! [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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of__Bit0,axiom, % 166.52/166.28 ! [V_w,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I15_J,axiom, % 166.52/166.28 ! [V_l_2,V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__int__code_I14_J,axiom, % 166.52/166.28 ! [V_k2_2,V_k1_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I33_J,axiom, % 166.52/166.28 ! [V_l_2,V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__eq__int__code_I15_J,axiom, % 166.52/166.28 ! [V_k2_2,V_k1_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_card__UNIV__bool,axiom, % 166.52/166.28 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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mult__Bit1,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__bin__simps_I8_J,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__Bit1__Bit1,axiom, % 166.52/166.28 ! [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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power__number__of__even,axiom, % 166.52/166.28 ! [V_w_2,V_z_2,T_b] : % 166.52/166.28 ( class_Int_Onumber__ring(T_b) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zpower__number__of__even,axiom, % 166.52/166.28 ! [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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_double__number__of__Bit0,axiom, % 166.52/166.28 ! [V_w,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of1,axiom, % 166.52/166.28 ! [V_n] : % 166.52/166.28 ( 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))) % 166.52/166.28 => ( 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)))) % 166.52/166.28 & 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)))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 166.52/166.28 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power__number__of__even__number__of,axiom, % 166.52/166.28 ! [V_w_2,V_v_2,T_b] : % 166.52/166.28 ( class_Int_Onumber__ring(T_b) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mult__2,axiom, % 166.52/166.28 ! [V_z,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mult__2__right,axiom, % 166.52/166.28 ! [V_z,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_one__add__one__is__two,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zero__eq__power2,axiom, % 166.52/166.28 ! [V_a_2,T_b] : % 166.52/166.28 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 166.52/166.28 => ( 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) % 166.52/166.28 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zero__power2,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Rings_Osemiring__1(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_semiring__norm_I115_J,axiom, % 166.52/166.28 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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_numeral__2__eq__2,axiom, % 166.52/166.28 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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power2__eq__square,axiom, % 166.52/166.28 ! [V_a,T_a] : % 166.52/166.28 ( class_Groups_Omonoid__mult(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 166.52/166.28 ! [V_x,T_a] : % 166.52/166.28 ( class_Rings_Ocomm__semiring__1(T_a) % 166.52/166.28 => 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)))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 166.52/166.28 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))))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__2__eq__Suc,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__2__eq__Suc_H,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_one__power2,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Rings_Osemiring__1(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power2__minus,axiom, % 166.52/166.28 ! [V_a,T_a] : % 166.52/166.28 ( class_Rings_Oring__1(T_a) % 166.52/166.28 => 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)))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__mult__2__right,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__mult__2,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power__even__eq,axiom, % 166.52/166.28 ! [V_n,V_a,T_a] : % 166.52/166.28 ( class_Groups_Omonoid__mult(T_a) % 166.52/166.28 => 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)))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 166.52/166.28 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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 166.52/166.28 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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power2__abs,axiom, % 166.52/166.28 ! [V_a,T_a] : % 166.52/166.28 ( class_Rings_Olinordered__idom(T_a) % 166.52/166.28 => 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)))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_abs__power2,axiom, % 166.52/166.28 ! [V_a,T_a] : % 166.52/166.28 ( class_Rings_Olinordered__idom(T_a) % 166.52/166.28 => 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)))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__1__add__1,axiom, % 166.52/166.28 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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod2__Suc__Suc,axiom, % 166.52/166.28 ! [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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_div2__Suc__Suc,axiom, % 166.52/166.28 ! [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))))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zmod__number__of__Bit0,axiom, % 166.52/166.28 ! [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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__self__div__2,axiom, % 166.52/166.28 ! [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 ). % 166.52/166.28 % 166.52/166.28 fof(fact_half__gt__zero,axiom, % 166.52/166.28 ! [V_r,T_a] : % 166.52/166.28 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 166.52/166.28 & class_Int_Onumber__ring(T_a) ) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 166.52/166.28 => 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)))))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_half__gt__zero__iff,axiom, % 166.52/166.28 ! [V_r_2,T_b] : % 166.52/166.28 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 166.52/166.28 & class_Int_Onumber__ring(T_b) ) % 166.52/166.28 => ( 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)))))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zero__le__power2,axiom, % 166.52/166.28 ! [V_a,T_a] : % 166.52/166.28 ( class_Rings_Olinordered__idom(T_a) % 166.52/166.28 => 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)))))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power2__le__imp__le,axiom, % 166.52/166.28 ! [V_y,V_x,T_a] : % 166.52/166.28 ( class_Rings_Olinordered__semidom(T_a) % 166.52/166.28 => ( 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)))))) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.52/166.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power2__eq__imp__eq,axiom, % 166.52/166.28 ! [V_y,V_x,T_a] : % 166.52/166.28 ( class_Rings_Olinordered__semidom(T_a) % 166.52/166.28 => ( 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)))) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.52/166.28 => V_x = V_y ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zero__less__power2,axiom, % 166.52/166.28 ! [V_a_2,T_b] : % 166.52/166.28 ( class_Rings_Olinordered__idom(T_b) % 166.52/166.28 => ( 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)))))) % 166.52/166.28 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power2__less__0,axiom, % 166.52/166.28 ! [V_a,T_a] : % 166.52/166.28 ( class_Rings_Olinordered__idom(T_a) % 166.52/166.28 => ~ 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_sum__power2__eq__zero__iff,axiom, % 166.52/166.28 ! [V_y_2,V_x_2,T_b] : % 166.52/166.28 ( class_Rings_Olinordered__idom(T_b) % 166.52/166.28 => ( 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) % 166.52/166.28 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.52/166.28 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power2__eq__square__number__of,axiom, % 166.52/166.28 ! [V_w,T_b] : % 166.52/166.28 ( ( class_Groups_Omonoid__mult(T_b) % 166.52/166.28 & class_Int_Onumber(T_b) ) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_less__2__cases,axiom, % 166.52/166.28 ! [V_n] : % 166.52/166.28 ( 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))))) % 166.52/166.28 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.28 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__2,axiom, % 166.52/166.28 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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power2__eq__1__iff,axiom, % 166.52/166.28 ! [V_a_2,T_b] : % 166.52/166.28 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 166.52/166.28 => ( 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) % 166.52/166.28 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b) % 166.52/166.28 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 166.52/166.28 ! [V_n,V_x,T_a] : % 166.52/166.28 ( class_Rings_Ocomm__semiring__1(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power__minus__even,axiom, % 166.52/166.28 ! [V_n,V_a,T_a] : % 166.52/166.28 ( class_Rings_Oring__1(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power2__less__imp__less,axiom, % 166.52/166.28 ! [V_y,V_x,T_a] : % 166.52/166.28 ( class_Rings_Olinordered__semidom(T_a) % 166.52/166.28 => ( 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)))))) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 166.52/166.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_sum__power2__ge__zero,axiom, % 166.52/166.28 ! [V_y,V_x,T_a] : % 166.52/166.28 ( class_Rings_Olinordered__idom(T_a) % 166.52/166.28 => 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))))))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_sum__power2__le__zero__iff,axiom, % 166.52/166.28 ! [V_y_2,V_x_2,T_b] : % 166.52/166.28 ( class_Rings_Olinordered__idom(T_b) % 166.52/166.28 => ( 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))) % 166.52/166.28 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 166.52/166.28 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_sum__power2__gt__zero__iff,axiom, % 166.52/166.28 ! [V_y_2,V_x_2,T_b] : % 166.52/166.28 ( class_Rings_Olinordered__idom(T_b) % 166.52/166.28 => ( 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))))))) % 166.52/166.28 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 166.52/166.28 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_not__sum__power2__lt__zero,axiom, % 166.52/166.28 ! [V_y,V_x,T_a] : % 166.52/166.28 ( class_Rings_Olinordered__idom(T_a) % 166.52/166.28 => ~ 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power2__sum,axiom, % 166.52/166.28 ! [V_y,V_x,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zero__le__even__power_H,axiom, % 166.52/166.28 ! [V_n,V_a,T_a] : % 166.52/166.28 ( class_Rings_Olinordered__idom(T_a) % 166.52/166.28 => 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)))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 166.52/166.28 ! [V_n,V_x,T_a] : % 166.52/166.28 ( class_Rings_Ocomm__semiring__1(T_a) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power__odd__eq,axiom, % 166.52/166.28 ! [V_n,V_a,T_a] : % 166.52/166.28 ( class_Groups_Omonoid__mult(T_a) % 166.52/166.28 => 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))))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power__minus1__even,axiom, % 166.52/166.28 ! [V_n,T_a] : % 166.52/166.28 ( class_Rings_Oring__1(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zdiv__number__of__Bit1,axiom, % 166.52/166.28 ! [V_v,V_w] : % 166.52/166.28 ( ( 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))) % 166.52/166.28 => 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)) ) % 166.52/166.28 & ( ~ 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))) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mod2__gr__0,axiom, % 166.52/166.28 ! [V_m_2] : % 166.52/166.28 ( 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)))))) % 166.52/166.28 <=> 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_div__2__gt__zero,axiom, % 166.52/166.28 ! [V_n] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 166.52/166.28 => 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)))))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power2__diff,axiom, % 166.52/166.28 ! [V_y,V_x,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_odd__0__le__power__imp__0__le,axiom, % 166.52/166.28 ! [V_n,V_a,T_a] : % 166.52/166.28 ( class_Rings_Olinordered__idom(T_a) % 166.52/166.28 => ( 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))))) % 166.52/166.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_odd__power__less__zero,axiom, % 166.52/166.28 ! [V_n,V_a,T_a] : % 166.52/166.28 ( class_Rings_Olinordered__idom(T_a) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 166.52/166.28 => 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))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power__minus1__odd,axiom, % 166.52/166.28 ! [V_n,T_a] : % 166.52/166.28 ( class_Rings_Oring__1(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Suc__n__div__2__gt__zero,axiom, % 166.52/166.28 ! [V_n] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.52/166.28 => 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)))))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_of__nat__double,axiom, % 166.52/166.28 ! [V_x,T_a] : % 166.52/166.28 ( class_Rings_Osemiring__1(T_a) % 166.52/166.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 166.52/166.28 => 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))) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_pos__zmod__mult__2,axiom, % 166.52/166.28 ! [V_b,V_a] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.52/166.28 => 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))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_pos__zdiv__mult__2,axiom, % 166.52/166.28 ! [V_b,V_a] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_neg__zdiv__mult__2,axiom, % 166.52/166.28 ! [V_b,V_a] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_int__of__code,axiom, % 166.52/166.28 ! [V_k] : % 166.52/166.28 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.52/166.28 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.52/166.28 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.52/166.28 => ( ( 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) % 166.52/166.28 => 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)))))) ) % 166.52/166.28 & ( 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) % 166.52/166.28 => 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)) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_of__int__num,axiom, % 166.52/166.28 ! [V_k_2,T_b] : % 166.52/166.28 ( class_Rings_Oring__1(T_b) % 166.52/166.28 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.28 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) ) % 166.52/166.28 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.28 => 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))) ) % 166.52/166.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.28 => 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))))) ) ) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power__m1__odd,axiom, % 166.52/166.28 ! [V_n,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I42_J,axiom, % 166.52/166.28 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I45_J,axiom, % 166.52/166.28 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I40_J,axiom, % 166.52/166.28 c_Int_OMin != c_Int_OPls ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I37_J,axiom, % 166.52/166.28 c_Int_OPls != c_Int_OMin ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I24_J,axiom, % 166.52/166.28 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_code__numeral__zero__minus__one,axiom, % 166.52/166.28 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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I7_J,axiom, % 166.52/166.28 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Bit1__Min,axiom, % 166.52/166.28 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I43_J,axiom, % 166.52/166.28 ! [V_l_2] : % 166.52/166.28 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 166.52/166.28 <=> c_Int_OMin = V_l_2 ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I47_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 166.52/166.28 <=> V_k_2 = c_Int_OMin ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_bin__less__0__simps_I2_J,axiom, % 166.52/166.28 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I23_J,axiom, % 166.52/166.28 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I20_J,axiom, % 166.52/166.28 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I26_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I30_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I6_J,axiom, % 166.52/166.28 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I3_J,axiom, % 166.52/166.28 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I9_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I13_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I28_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I8_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_eq__number__of__Pls__Min,axiom, % 166.52/166.28 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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Int_OMin__def,axiom, % 166.52/166.28 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mult__Min,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_neg__number__of__Min,axiom, % 166.52/166.28 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_pred__Pls,axiom, % 166.52/166.28 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__Min__right,axiom, % 166.52/166.28 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 166.52/166.28 % 166.52/166.28 fof(fact_add__Min,axiom, % 166.52/166.28 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 166.52/166.28 % 166.52/166.28 fof(fact_pred__Min,axiom, % 166.52/166.28 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nonzero__number__of__Min,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_succ__Min,axiom, % 166.52/166.28 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__bin__simps_I2_J,axiom, % 166.52/166.28 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mult__minus1,axiom, % 166.52/166.28 ! [V_z,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_mult__minus1__right,axiom, % 166.52/166.28 ! [V_z,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_number__of__Min,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_arith__simps_I31_J,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_abs__minus__one,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_a) % 166.52/166.28 & class_Rings_Olinordered__idom(T_a) ) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_divide__minus1,axiom, % 166.52/166.28 ! [V_x,T_a] : % 166.52/166.28 ( ( class_Fields_Ofield__inverse__zero(T_a) % 166.52/166.28 & class_Int_Onumber__ring(T_a) ) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I11_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_rel__simps_I25_J,axiom, % 166.52/166.28 ! [V_k_2] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 166.52/166.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zmod__minus1__right,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__bin__simps_I4_J,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_minus__Min,axiom, % 166.52/166.28 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 166.52/166.28 % 166.52/166.28 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 166.52/166.28 ! [V_n,V_m] : % 166.52/166.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 166.52/166.28 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 166.52/166.28 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zmult__eq__1__iff,axiom, % 166.52/166.28 ! [V_n_2,V_m_2] : % 166.52/166.28 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 166.52/166.28 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 166.52/166.28 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 166.52/166.28 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 166.52/166.28 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__bin__simps_I5_J,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_diff__bin__simps_I6_J,axiom, % 166.52/166.28 ! [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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_of__int__m1,axiom, % 166.52/166.28 ! [T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zdiv__minus1__right,axiom, % 166.52/166.28 ! [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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zero__code__numeral__code,axiom, % 166.52/166.28 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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_minus1__divide,axiom, % 166.52/166.28 ! [V_x,T_a] : % 166.52/166.28 ( ( class_Fields_Ofield__inverse__zero(T_a) % 166.52/166.28 & class_Int_Onumber__ring(T_a) ) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_abs__power__minus__one,axiom, % 166.52/166.28 ! [V_n,T_a] : % 166.52/166.28 ( ( class_Int_Onumber__ring(T_a) % 166.52/166.28 & class_Rings_Olinordered__idom(T_a) ) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_div__eq__minus1,axiom, % 166.52/166.28 ! [V_b] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_div__pos__neg__trivial,axiom, % 166.52/166.28 ! [V_b,V_a] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.52/166.28 => ( 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))) % 166.52/166.28 => 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) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_zmod__minus1,axiom, % 166.52/166.28 ! [V_b] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.28 => 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)) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_one__code__numeral__code,axiom, % 166.52/166.28 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)) ). % 166.52/166.28 % 166.52/166.28 fof(fact_power__m1__even,axiom, % 166.52/166.28 ! [V_n,T_a] : % 166.52/166.28 ( class_Int_Onumber__ring(T_a) % 166.52/166.28 => 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) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_int__ge__less__than2__def,axiom, % 166.52/166.28 ! [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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_int__ge__less__than__def,axiom, % 166.52/166.28 ! [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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_code__numeral_Osize_I1_J,axiom, % 166.52/166.28 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) ). % 166.52/166.28 % 166.52/166.28 fof(fact_inj__graph,axiom, % 166.52/166.28 ! [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))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_nat__of__aux__code,axiom, % 166.52/166.28 ! [V_n,V_i] : % 166.52/166.28 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.52/166.28 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 166.52/166.28 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.52/166.28 => 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)) ) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_divmod__int__rel__def,axiom, % 166.52/166.28 ! [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))))))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Nitpick_Oprod__def,axiom, % 166.52/166.28 ! [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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_divmod__int__correct,axiom, % 166.52/166.28 ! [V_a,V_b] : % 166.52/166.28 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.28 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 166.52/166.28 % 166.52/166.28 fof(fact_Nitpick_OFrac__def,axiom, % 166.52/166.28 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)))) ). % 166.52/166.28 % 166.52/166.28 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 166.52/166.28 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 166.52/166.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.28 => ( 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) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_code__numeral_Osize_I2_J,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_code__numeral_Oinject,axiom, % 166.52/166.29 ! [V_code__numeral_H_2,V_code__numeral_2] : % 166.52/166.29 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 166.52/166.29 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_code__numeral_Osimps_I2_J,axiom, % 166.52/166.29 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 166.52/166.29 % 166.52/166.29 fof(fact_code__numeral_Osimps_I3_J,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Suc__code__numeral__minus__one,axiom, % 166.52/166.29 ! [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 ). % 166.52/166.29 % 166.52/166.29 fof(fact_code__numeral_Osize_I4_J,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Nitpick_Oint__gcd__def,axiom, % 166.52/166.29 ! [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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_finite__psubset__def,axiom, % 166.52/166.29 ! [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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_nat__gcd_Osimps,axiom, % 166.52/166.29 ! [V_x,V_y] : % 166.52/166.29 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.29 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 166.52/166.29 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_code__numeral_Osize_I3_J,axiom, % 166.52/166.29 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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Nitpick_Onat__lcm__def,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_zmult2__lemma,axiom, % 166.52/166.29 ! [V_c,V_r,V_q,V_b,V_a] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 166.52/166.29 => 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)))) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 166.52/166.29 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.29 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 166.52/166.29 | ? [B_x,B_y] : % 166.52/166.29 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 166.52/166.29 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2)) % 166.52/166.29 & 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) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pred__equals__eq2,axiom, % 166.52/166.29 ! [V_S_2,V_R_2,T_c,T_b] : % 166.52/166.29 ( 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) % 166.52/166.29 <=> V_R_2 = V_S_2 ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_inf__Int__eq2,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_sup__Un__eq2,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_bot__empty__eq2,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> 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)))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pred__subset__eq2,axiom, % 166.52/166.29 ! [V_S_2,V_R_2,T_c,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 <=> 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Image__iff,axiom, % 166.52/166.29 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 166.52/166.29 <=> ? [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.52/166.29 & 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rev__ImageI,axiom, % 166.52/166.29 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__int__rel__0,axiom, % 166.52/166.29 ! [V_b] : % 166.52/166.29 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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)))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_self__remainder,axiom, % 166.52/166.29 ! [V_r,V_q,V_a] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_unique__quotient,axiom, % 166.52/166.29 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => V_q = V_q_H ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_unique__remainder,axiom, % 166.52/166.29 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => V_r = V_r_H ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_SUP__UN__eq2,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_self__quotient,axiom, % 166.52/166.29 ! [V_r,V_q,V_a] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__int__rel__mod,axiom, % 166.52/166.29 ! [V_r,V_q,V_b,V_a] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__int__rel__div,axiom, % 166.52/166.29 ! [V_r,V_q,V_b,V_a] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__int__mod__div,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Image__singleton__iff,axiom, % 166.52/166.29 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] : % 166.52/166.29 ( 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)))))) % 166.52/166.29 <=> 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__int__rel__div__mod,axiom, % 166.52/166.29 ! [V_a,V_b] : % 166.52/166.29 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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)))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Image__singleton,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_zadd1__lemma,axiom, % 166.52/166.29 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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)))) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_zminus1__lemma,axiom, % 166.52/166.29 ! [V_r_2,V_q_2,V_b_2,V_a_2] : % 166.52/166.29 ( 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))) % 166.52/166.29 => 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))))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__int__relI,axiom, % 166.52/166.29 ! [V_r,V_q,V_b,V_a] : % 166.52/166.29 ( 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) % 166.52/166.29 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 166.52/166.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 166.52/166.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 166.52/166.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 166.52/166.29 => 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))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_zmult1__lemma,axiom, % 166.52/166.29 ! [V_a,V_r,V_q,V_c,V_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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)))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pair__imageI,axiom, % 166.52/166.29 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Nitpick_Oint__lcm__def,axiom, % 166.52/166.29 ! [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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_norm__frac_Osimps,axiom, % 166.52/166.29 ! [V_a_2,V_b_2] : % 166.52/166.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.52/166.29 => 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))) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_sup2E,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_sup2CI,axiom, % 166.52/166.29 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] : % 166.52/166.29 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 166.52/166.29 => 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_inf2E,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 166.52/166.29 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_inf2I,axiom, % 166.52/166.29 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mem__splitI,axiom, % 166.52/166.29 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2))) % 166.52/166.29 => 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)))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_splitI,axiom, % 166.52/166.29 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_prod__caseI,axiom, % 166.52/166.29 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2)) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_bot2E,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_swap__inj__on,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_splitD_H,axiom, % 166.52/166.29 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_sup2I1,axiom, % 166.52/166.29 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 166.52/166.29 => 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_sup2I2,axiom, % 166.52/166.29 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 166.52/166.29 => 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_predicate2D,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_c,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rev__predicate2D,axiom, % 166.52/166.29 ! [V_Qa_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2)) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_inf2D2,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_inf2D1,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_split__paired__All,axiom, % 166.52/166.29 ! [T_c,T_b,V_Pa_2] : % 166.52/166.29 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 166.52/166.29 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Pair__eq,axiom, % 166.52/166.29 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.29 ( 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) % 166.52/166.29 <=> ( V_a_2 = V_a_H_2 % 166.52/166.29 & V_b_2 = V_b_H_2 ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Pair__inject,axiom, % 166.52/166.29 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 166.52/166.29 ( 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) % 166.52/166.29 => ~ ( V_a = V_a_H % 166.52/166.29 => V_b != V_b_H ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_split__weak__cong,axiom, % 166.52/166.29 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] : % 166.52/166.29 ( V_p_2 = V_q_2 % 166.52/166.29 => 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) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_in__finite__psubset,axiom, % 166.52/166.29 ! [V_B_2,V_A_2,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.52/166.29 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_split__twice,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_split__conv,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_prod_Osimps_I2_J,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_splitD,axiom, % 166.52/166.29 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_split__eta,axiom, % 166.52/166.29 ! [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 ). % 166.52/166.29 % 166.52/166.29 fof(fact_The__split__eq,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_split__paired__The,axiom, % 166.52/166.29 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_Pa_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_in__rel__def,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2)) % 166.52/166.29 <=> 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_div__mod__code__numeral__def,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_adjust__def,axiom, % 166.52/166.29 ! [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))))))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_adjust__eq,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 166.52/166.29 ! [V_w] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ( 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)))) % 166.52/166.29 => 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))) ) % 166.52/166.29 & ( ~ 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)))) % 166.52/166.29 => 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)))) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_negDivAlg__eqn,axiom, % 166.52/166.29 ! [V_a,V_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => ( ( 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))) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( ~ 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))) % 166.52/166.29 => 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))) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_negDivAlg__eqn__number__of,axiom, % 166.52/166.29 ! [V_w,V_v] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ( 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)))) % 166.52/166.29 => 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))) ) % 166.52/166.29 & ( ~ 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)))) % 166.52/166.29 => 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)))) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_negDivAlg__correct,axiom, % 166.52/166.29 ! [V_b,V_a] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_negDivAlg__div__mod,axiom, % 166.52/166.29 ! [V_l,V_k] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_negDivAlg__minus1,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_negDivAlg_Osimps,axiom, % 166.52/166.29 ! [V_b,V_a] : % 166.52/166.29 ( ( ( 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))) % 166.52/166.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( ~ ( 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))) % 166.52/166.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.52/166.29 => 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))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Nitpick_Orefl_H__def,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Nitpick_Orefl_H(T_b,V_r_2) % 166.52/166.29 <=> ! [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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 166.52/166.29 ! [V_w] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ( 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))) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( ~ 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))) % 166.52/166.29 => 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)))) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_posDivAlg_Osimps,axiom, % 166.52/166.29 ! [V_b,V_a] : % 166.52/166.29 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 166.52/166.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.52/166.29 => 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) ) % 166.52/166.29 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 166.52/166.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.52/166.29 => 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))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_posDivAlg__0,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_posDivAlg__correct,axiom, % 166.52/166.29 ! [V_b,V_a] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_posDivAlg__div__mod,axiom, % 166.52/166.29 ! [V_l,V_k] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_posDivAlg__eqn__number__of,axiom, % 166.52/166.29 ! [V_w,V_v] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ( 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))) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( ~ 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))) % 166.52/166.29 => 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)))) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_posDivAlg__eqn,axiom, % 166.52/166.29 ! [V_a,V_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 166.52/166.29 => 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) ) % 166.52/166.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 166.52/166.29 => 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))) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__int__def,axiom, % 166.52/166.29 ! [V_b,V_a] : % 166.52/166.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.52/166.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 166.52/166.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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))) ) ) ) ) ) % 166.52/166.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.52/166.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 166.52/166.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => 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))) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__step,axiom, % 166.52/166.29 ! [V_m,V_n] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__int__pdivmod,axiom, % 166.52/166.29 ! [V_l_2,V_k_2] : % 166.52/166.29 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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) ) % 166.52/166.29 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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)))) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_apsnd__conv,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_negateSnd__def,axiom, % 166.52/166.29 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_apsnd__compose,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__zero,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__base,axiom, % 166.52/166.29 ! [V_n,V_m] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 166.52/166.29 => 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) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_negateSnd__eq,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__div__mod,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__int__rel__neg,axiom, % 166.52/166.29 ! [V_qr,V_b,V_a] : % 166.52/166.29 ( 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)) % 166.52/166.29 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__if,axiom, % 166.52/166.29 ! [V_m_2,V_n_2] : % 166.52/166.29 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 166.52/166.29 => 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) ) % 166.52/166.29 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pdivmod__def,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pdivmod__posDivAlg,axiom, % 166.52/166.29 ! [V_k,V_l] : % 166.52/166.29 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__int__code,axiom, % 166.52/166.29 ! [V_l_2,V_k_2] : % 166.52/166.29 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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) ) % 166.52/166.29 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 => 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)))) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 166.52/166.29 ! [V_c,V_r,V_q,V_b,V_a] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 166.52/166.29 => 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)))) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 166.52/166.29 ! [V_a,V_r,V_q,V_c,V_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 166.52/166.29 => 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)))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_negDivAlg_Opsimps,axiom, % 166.52/166.29 ! [V_b_2,V_a_2] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ( ( 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))) % 166.52/166.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( ~ ( 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))) % 166.52/166.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.52/166.29 => 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))) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__rel__unique,axiom, % 166.52/166.29 ! [V_qr_H,V_qr,V_n,V_m] : % 166.52/166.29 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 166.52/166.29 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 166.52/166.29 => V_qr = V_qr_H ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_accp_Osimps,axiom, % 166.52/166.29 ! [V_a_2,V_r_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 166.52/166.29 <=> ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 166.52/166.29 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_accp_Oequations,axiom, % 166.52/166.29 ! [V_a_2,V_r_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 166.52/166.29 <=> ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 166.52/166.29 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_accp__downward,axiom, % 166.52/166.29 ! [V_a_2,V_b_2,V_r_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 166.52/166.29 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 166.52/166.29 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__eq,axiom, % 166.52/166.29 ! [V_qr,V_n,V_m] : % 166.52/166.29 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 166.52/166.29 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__def,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_accp__subset,axiom, % 166.52/166.29 ! [V_R2_2,V_R1_2,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mod__eq,axiom, % 166.52/166.29 ! [V_r,V_q,V_n,V_m] : % 166.52/166.29 ( 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))) % 166.52/166.29 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_div__eq,axiom, % 166.52/166.29 ! [V_r,V_q,V_n,V_m] : % 166.52/166.29 ( 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))) % 166.52/166.29 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__rel,axiom, % 166.52/166.29 ! [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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__rel__add1__eq,axiom, % 166.52/166.29 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 166.52/166.29 => 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)))) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_posDivAlg_Opsimps,axiom, % 166.52/166.29 ! [V_b_2,V_a_2] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 166.52/166.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.52/166.29 => 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) ) % 166.52/166.29 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 166.52/166.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.52/166.29 => 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))) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_norm__frac_Opsimps,axiom, % 166.52/166.29 ! [V_b_2,V_a_2] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 166.52/166.29 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 166.52/166.29 => 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))) ) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_negDivAlg_Opinduct,axiom, % 166.52/166.29 ! [V_Pa_2,V_a1_2,V_a0_2] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ! [B_a,B_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ( ~ ( 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))) % 166.52/166.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_posDivAlg_Opinduct,axiom, % 166.52/166.29 ! [V_Pa_2,V_a1_2,V_a0_2] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ! [B_a,B_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 166.52/166.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_nat__gcd_Opsimps,axiom, % 166.52/166.29 ! [V_y_2,V_x_2] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.29 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 166.52/166.29 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mod__pos__neg__1__number__of,axiom, % 166.52/166.29 ! [V_w] : % 166.52/166.29 ( 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))) % 166.52/166.29 => 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))))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_snd__eqD,axiom, % 166.52/166.29 ! [V_a,V_y,V_x,T_a,T_b] : % 166.52/166.29 ( 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 % 166.52/166.29 => V_y = V_a ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_snd__conv,axiom, % 166.52/166.29 ! [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 ). % 166.52/166.29 % 166.52/166.29 fof(fact_snd__def,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_snd__apsnd,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_apsnd__eq__conv,axiom, % 166.52/166.29 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] : % 166.52/166.29 ( 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) % 166.52/166.29 <=> 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mod__int__def,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mod__neg__pos,axiom, % 166.52/166.29 ! [V_b,V_a] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mod__pos__pos,axiom, % 166.52/166.29 ! [V_b,V_a] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mod__pos__pos__1__number__of,axiom, % 166.52/166.29 ! [V_w] : % 166.52/166.29 ( 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))) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mod__pos__neg,axiom, % 166.52/166.29 ! [V_b,V_a] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => 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)))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mod__neg__neg,axiom, % 166.52/166.29 ! [V_b,V_a] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => 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)))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_in__measure,axiom, % 166.52/166.29 ! [V_f_2,V_y_2,V_x_2,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 <=> 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_irrefl__def,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Relation_Oirrefl(T_b,V_r_2) % 166.52/166.29 <=> ! [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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_norm__frac_Opinduct,axiom, % 166.52/166.29 ! [V_Pa_2,V_a1_2,V_a0_2] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ! [B_a,B_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) ) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mod__nat__def,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_div__pos__neg__1__number__of,axiom, % 166.52/166.29 ! [V_w] : % 166.52/166.29 ( 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))) % 166.52/166.29 => 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))))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_nat__def,axiom, % 166.52/166.29 ! [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)))))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_nat__gcd_Opinduct,axiom, % 166.52/166.29 ! [V_Pa_2,V_a1_2,V_a0_2] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ! [B_x,B_y] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) ) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Pair__fst__snd__eq,axiom, % 166.52/166.29 ! [T_c,T_b,V_t_2,V_s_2] : % 166.52/166.29 ( V_s_2 = V_t_2 % 166.52/166.29 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2) % 166.52/166.29 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_prod__eqI,axiom, % 166.52/166.29 ! [V_q,V_p,T_b,T_a] : % 166.52/166.29 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 166.52/166.29 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 166.52/166.29 => V_p = V_q ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_fst__eqD,axiom, % 166.52/166.29 ! [V_a,V_y,V_x,T_b,T_a] : % 166.52/166.29 ( 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 % 166.52/166.29 => V_x = V_a ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_fst__conv,axiom, % 166.52/166.29 ! [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 ). % 166.52/166.29 % 166.52/166.29 fof(fact_Rep__Integ__inject,axiom, % 166.52/166.29 ! [V_y_2,V_x_2] : % 166.52/166.29 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 166.52/166.29 <=> V_x_2 = V_y_2 ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_fst__def,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_fst__apsnd,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pair__collapse,axiom, % 166.52/166.29 ! [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 ). % 166.52/166.29 % 166.52/166.29 fof(fact_surjective__pairing,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_prod__case__beta,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_div__int__def,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_split__comp__eq,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_split__beta,axiom, % 166.52/166.29 ! [V_z_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_split__def,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_split__comp,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_The__split,axiom, % 166.52/166.29 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_div__neg__pos,axiom, % 166.52/166.29 ! [V_b,V_a] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_div__pos__pos,axiom, % 166.52/166.29 ! [V_b,V_a] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_div__pos__pos__1__number__of,axiom, % 166.52/166.29 ! [V_w] : % 166.52/166.29 ( 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))) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_div__pos__neg,axiom, % 166.52/166.29 ! [V_b,V_a] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => 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)))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_div__neg__neg,axiom, % 166.52/166.29 ! [V_b,V_a] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 166.52/166.29 => 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)))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_prod__size__simp,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_exI__realizer,axiom, % 166.52/166.29 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2)) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_conjI__realizer,axiom, % 166.52/166.29 ! [T_c,T_b,V_q_2,V_Qa_2,V_p_2,V_Pa_2] : % 166.52/166.29 ( hBOOL(hAPP(V_Pa_2,V_p_2)) % 166.52/166.29 => ( hBOOL(hAPP(V_Qa_2,V_q_2)) % 166.52/166.29 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) % 166.52/166.29 & hBOOL(hAPP(V_Qa_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)))) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_div__nat__def,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_divmod__nat__rel__def,axiom, % 166.52/166.29 ! [V_qr_2,V_n_2,V_m_2] : % 166.52/166.29 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2)) % 166.52/166.29 <=> ( 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)) % 166.52/166.29 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.29 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.52/166.29 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 166.52/166.29 => ( 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))) % 166.52/166.29 & 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)) ) ) % 166.52/166.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 166.52/166.29 => ( 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))) % 166.52/166.29 & 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))) ) ) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_inv__image__def,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_equiv__class__nondisjoint,axiom, % 166.52/166.29 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( 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))))))) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_subset__equiv__class,axiom, % 166.52/166.29 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( 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)))))) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_in__inv__image,axiom, % 166.52/166.29 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 <=> 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_equiv__class__self,axiom, % 166.52/166.29 ! [V_a_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.29 => 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)))))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_quotient__disj,axiom, % 166.52/166.29 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( V_X_2 = V_Y_2 % 166.52/166.29 | 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)) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_equiv__class__eq,axiom, % 166.52/166.29 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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)))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_quotient__eq__iff,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 166.52/166.29 => ( V_X_2 = V_Y_2 % 166.52/166.29 <=> 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)) ) ) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_quotient__eqI,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_equiv__class__eq__iff,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 <=> ( 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)))) % 166.52/166.29 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.29 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_eq__equiv__class__iff,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 166.52/166.29 => ( 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)))) % 166.52/166.29 <=> 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)) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_eq__equiv__class,axiom, % 166.52/166.29 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] : % 166.52/166.29 ( 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)))) % 166.52/166.29 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_equiv__class__subset,axiom, % 166.52/166.29 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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)))))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_eq__equiv__class__iff2,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 166.52/166.29 => ( 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) % 166.52/166.29 <=> 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)) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_UN__equiv__class,axiom, % 166.52/166.29 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.29 => 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) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_UN__equiv__class2,axiom, % 166.52/166.29 ! [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] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 166.52/166.29 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 166.52/166.29 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2)) % 166.52/166.29 => 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) ) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rp__inv__image__def,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_congruent2__implies__congruent,axiom, % 166.52/166.29 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2) % 166.52/166.29 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.29 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_congruent__def,axiom, % 166.52/166.29 ! [V_f_2,V_r_2,T_c,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 166.52/166.29 <=> ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_congruent2D,axiom, % 166.52/166.29 ! [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] : % 166.52/166.29 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_congruentD,axiom, % 166.52/166.29 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_congruent2__implies__congruent__UN,axiom, % 166.52/166.29 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 166.52/166.29 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 166.52/166.29 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2)) % 166.52/166.29 => 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)) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_UN__equiv__class__inject,axiom, % 166.52/166.29 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 166.52/166.29 => ( 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) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.29 => ! [B_y] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 166.52/166.29 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 166.52/166.29 => 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)) ) ) ) % 166.52/166.29 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_UN__equiv__class__type2,axiom, % 166.52/166.29 ! [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] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 166.52/166.29 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 166.52/166.29 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( ! [B_x1] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2)) % 166.52/166.29 => ! [B_x2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2)) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 166.52/166.29 => 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)) ) ) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_UN__equiv__class__type,axiom, % 166.52/166.29 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 166.52/166.29 => ( 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))) % 166.52/166.29 => ( ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 166.52/166.29 => 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)) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mlex__leq,axiom, % 166.52/166.29 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mlex__less,axiom, % 166.52/166.29 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 166.52/166.29 ( 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))) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_prod_Orecs,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_lfp__induct2,axiom, % 166.52/166.29 ! [V_Pa_2,V_f_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( 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) % 166.52/166.29 => ( ! [B_a,B_b] : % 166.52/166.29 ( 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_Pa_2)))))) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_a_2),V_b_2)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_refl__on__def_H,axiom, % 166.52/166.29 ! [V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.52/166.29 <=> ( ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_in__lex__prod,axiom, % 166.52/166.29 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 <=> ( 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)) % 166.52/166.29 | ( V_a_2 = V_a_H_2 % 166.52/166.29 & 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_refl__on__empty,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_refl__on__Un,axiom, % 166.52/166.29 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_refl__on__Int,axiom, % 166.52/166.29 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_refl__onD,axiom, % 166.52/166.29 ! [V_a_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_refl__onD1,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_refl__onD2,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_same__fstI,axiom, % 166.52/166.29 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] : % 166.52/166.29 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.29 => ( 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))) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_reflp__def,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Predicate_Oreflp(T_b,V_r_2) % 166.52/166.29 <=> 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_equivp__equiv,axiom, % 166.52/166.29 ! [V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 166.52/166.29 <=> 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_reflpE,axiom, % 166.52/166.29 ! [V_x_2,V_r_2,T_b] : % 166.52/166.29 ( c_Predicate_Oreflp(T_b,V_r_2) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_equivp__transp,axiom, % 166.52/166.29 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_equivp__symp,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_R_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_equivp__reflp,axiom, % 166.52/166.29 ! [V_x_2,V_R_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.52/166.29 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_equivp__def,axiom, % 166.52/166.29 ! [V_R_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.52/166.29 <=> ! [B_x,B_y] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 166.52/166.29 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_identity__equivp,axiom, % 166.52/166.29 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ). % 166.52/166.29 % 166.52/166.29 fof(fact_apsnd__apfst,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_apfst__apsnd,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pair__lessI2,axiom, % 166.52/166.29 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_apfst__compose,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_snd__apfst,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_apfst__eq__conv,axiom, % 166.52/166.29 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] : % 166.52/166.29 ( 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) % 166.52/166.29 <=> 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_fst__apfst,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_apfst__conv,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_apsnd__apfst__commute,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pair__lessI1,axiom, % 166.52/166.29 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 166.52/166.29 => 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pair__leqI2,axiom, % 166.52/166.29 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_smax__insertI,axiom, % 166.52/166.29 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_smin__insertI,axiom, % 166.52/166.29 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_smax__emptyI,axiom, % 166.52/166.29 ! [V_Y_2] : % 166.52/166.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 166.52/166.29 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_smin__emptyI,axiom, % 166.52/166.29 ! [V_X_2] : % 166.52/166.29 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 166.52/166.29 => 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pair__leqI1,axiom, % 166.52/166.29 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 166.52/166.29 => 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wmin__insertI,axiom, % 166.52/166.29 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wmax__insertI,axiom, % 166.52/166.29 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Field__insert,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Field__empty,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mono__Field,axiom, % 166.52/166.29 ! [V_s_2,V_r_2,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Field__Un,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_finite__Field,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 166.52/166.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wmin__emptyI,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wmax__emptyI,axiom, % 166.52/166.29 ! [V_X_2] : % 166.52/166.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 166.52/166.29 => 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_min__weak__def,axiom, % 166.52/166.29 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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_max__weak__def,axiom, % 166.52/166.29 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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Id__on__def,axiom, % 166.52/166.29 ! [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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_refl__on__Id__on,axiom, % 166.52/166.29 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Id__on__def_H,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Id__on__empty,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Image__Id__on,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Id__on__eqI,axiom, % 166.52/166.29 ! [V_A_2,T_b,V_b_2,V_a_2] : % 166.52/166.29 ( V_a_2 = V_b_2 % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.29 => 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))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Id__on__iff,axiom, % 166.52/166.29 ! [V_A_2,V_y_2,V_x_2,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 <=> ( V_x_2 = V_y_2 % 166.52/166.29 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_max__strict__def,axiom, % 166.52/166.29 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 166.52/166.29 % 166.52/166.29 fof(fact_max__ext__additive,axiom, % 166.52/166.29 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ( 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))) % 166.52/166.29 => 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))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_min__strict__def,axiom, % 166.52/166.29 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 166.52/166.29 % 166.52/166.29 fof(fact_max__extp__max__ext__eq,axiom, % 166.52/166.29 ! [V_xa_2,V_x_2,V_R_2,T_b] : % 166.52/166.29 ( 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) % 166.52/166.29 <=> 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_max__rpair__set,axiom, % 166.52/166.29 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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_min__rpair__set,axiom, % 166.52/166.29 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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rp__inv__image__rp,axiom, % 166.52/166.29 ! [V_f_2,T_c,V_Pa_2,T_b] : % 166.52/166.29 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 166.52/166.29 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_equiv__intrel__iff,axiom, % 166.52/166.29 ! [V_y_2,V_x_2] : % 166.52/166.29 ( 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)))) % 166.52/166.29 <=> 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_less__than__iff,axiom, % 166.52/166.29 ! [V_y_2,V_x_2] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_intrel__iff,axiom, % 166.52/166.29 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> 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) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_equiv__intrel,axiom, % 166.52/166.29 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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pair__less__def,axiom, % 166.52/166.29 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 166.52/166.29 % 166.52/166.29 fof(fact_measure__def,axiom, % 166.52/166.29 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mlex__prod__def,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_of__int,axiom, % 166.52/166.29 ! [V_j_2,V_i_2,T_b] : % 166.52/166.29 ( class_Rings_Oring__1(T_b) % 166.52/166.29 => 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_One__int__def,axiom, % 166.52/166.29 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))))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mult,axiom, % 166.52/166.29 ! [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))))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Rep__Integ__inverse,axiom, % 166.52/166.29 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 166.52/166.29 % 166.52/166.29 fof(fact_minus,axiom, % 166.52/166.29 ! [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))))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Zero__int__def,axiom, % 166.52/166.29 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))))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_int__def,axiom, % 166.52/166.29 ! [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))))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_add,axiom, % 166.52/166.29 ! [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))))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_nat,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_minus__int__def,axiom, % 166.52/166.29 ! [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))))))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_less,axiom, % 166.52/166.29 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 166.52/166.29 ( 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))))))) % 166.52/166.29 <=> 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_le,axiom, % 166.52/166.29 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 166.52/166.29 ( 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))))))) % 166.52/166.29 <=> 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_eq__Abs__Integ,axiom, % 166.52/166.29 ! [V_z_2] : % 166.52/166.29 ~ ! [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))))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Integ__def,axiom, % 166.52/166.29 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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Id__onE,axiom, % 166.52/166.29 ! [V_A_2,V_c_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2))) % 166.52/166.29 => ~ ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.29 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Rep__Integ,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_type__definition__Integ,axiom, % 166.52/166.29 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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_ImageE,axiom, % 166.52/166.29 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 166.52/166.29 => ~ ! [B_x] : % 166.52/166.29 ( 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)) % 166.52/166.29 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_code__numeral_Osimps_I5_J,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_code__numeral_Osimps_I4_J,axiom, % 166.52/166.29 ! [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 ). % 166.52/166.29 % 166.52/166.29 fof(fact_type__definition_OAbs__image,axiom, % 166.52/166.29 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.52/166.29 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.52/166.29 => 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_type__definition_ORep__range,axiom, % 166.52/166.29 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.52/166.29 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.52/166.29 => 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 ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_type__definition_ORep,axiom, % 166.52/166.29 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.52/166.29 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_type__definition_ORep__inverse,axiom, % 166.52/166.29 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.52/166.29 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.52/166.29 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_type__definition_ORep__inject,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.52/166.29 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.52/166.29 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 166.52/166.29 <=> V_x_2 = V_y_2 ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_type__definition_OAbs__inject,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.52/166.29 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 166.52/166.29 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 166.52/166.29 <=> V_x_2 = V_y_2 ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_type__definition_OAbs__inverse,axiom, % 166.52/166.29 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 166.52/166.29 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 166.52/166.29 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_accp__acc__eq,axiom, % 166.52/166.29 ! [V_x_2,V_r_2,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rel__comp__def,axiom, % 166.52/166.29 ! [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))))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_max__extp_Oequations,axiom, % 166.52/166.29 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 166.52/166.29 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 166.52/166.29 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 166.52/166.29 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.29 & ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 166.52/166.29 => ? [B_xa] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 166.52/166.29 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rel__compI,axiom, % 166.52/166.29 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rel__comp__UNION__distrib,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rel__comp__UNION__distrib2,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rel__comp__empty2,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rel__comp__empty1,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rel__comp__distrib,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rel__comp__distrib2,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rel__comp__mono,axiom, % 166.52/166.29 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_O__assoc,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_union__comp__emptyL,axiom, % 166.52/166.29 ! [V_B_2,V_C_2,V_A_2,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_union__comp__emptyR,axiom, % 166.52/166.29 ! [V_C_2,V_B_2,V_A_2,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_acc__subset,axiom, % 166.52/166.29 ! [V_R2_2,V_R1_2,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_acc_Osimps,axiom, % 166.52/166.29 ! [V_r_2,V_a_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 166.52/166.29 <=> ! [B_x] : % 166.52/166.29 ( 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)) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_acc__downward,axiom, % 166.52/166.29 ! [V_a_2,V_r_2,V_b_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 166.52/166.29 => ( 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)) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_max__ext__compat,axiom, % 166.52/166.29 ! [V_S_2,V_R_2,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_min__ext__compat,axiom, % 166.52/166.29 ! [V_S_2,V_R_2,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pred__comp__rel__comp__eq,axiom, % 166.52/166.29 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_reduction__pairI,axiom, % 166.52/166.29 ! [V_S_2,V_R_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_R_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_max__ext_Ointros,axiom, % 166.52/166.29 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 166.52/166.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 166.52/166.29 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.29 => ( ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 166.52/166.29 => ? [B_xa] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 166.52/166.29 & 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)) ) ) % 166.52/166.29 => 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))) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__less__than,axiom, % 166.52/166.29 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pred__comp_Ointros,axiom, % 166.52/166.29 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__empty,axiom, % 166.52/166.29 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__inv__image,axiom, % 166.52/166.29 ! [V_f_2,T_c,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__lex__prod,axiom, % 166.52/166.29 ! [V_rb_2,T_c,V_ra_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_ra_2) % 166.52/166.29 => ( c_Wellfounded_Owf(T_c,V_rb_2) % 166.52/166.29 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__measure,axiom, % 166.52/166.29 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__comp__self,axiom, % 166.52/166.29 ! [V_R_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_R_2) % 166.52/166.29 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_max__ext__wf,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__pair__less,axiom, % 166.52/166.29 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pred__comp_Oequations,axiom, % 166.52/166.29 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> ? [B_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 166.52/166.29 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__finite__psubset,axiom, % 166.52/166.29 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__Int1,axiom, % 166.52/166.29 ! [V_r_H_2,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__Int2,axiom, % 166.52/166.29 ! [V_r_H_2,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__subset,axiom, % 166.52/166.29 ! [V_p_2,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__mlex,axiom, % 166.52/166.29 ! [V_f_2,V_R_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_R_2) % 166.52/166.29 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_min__ext__wf,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__less,axiom, % 166.52/166.29 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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__not__refl,axiom, % 166.52/166.29 ! [V_a_2,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => ~ 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__not__sym,axiom, % 166.52/166.29 ! [V_x_2,V_a_2,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => ~ 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__asym,axiom, % 166.52/166.29 ! [V_x_2,V_a_2,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => ~ 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__irrefl,axiom, % 166.52/166.29 ! [V_a_2,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => ~ 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__int__ge__less__than2,axiom, % 166.52/166.29 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__int__ge__less__than,axiom, % 166.52/166.29 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_acc__wfD,axiom, % 166.52/166.29 ! [V_x_2,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__acc__iff,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__no__loop,axiom, % 166.52/166.29 ! [V_R_2,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__union__merge,axiom, % 166.52/166.29 ! [V_S_2,V_R_2,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 <=> ~ ? [B_f] : % 166.52/166.29 ! [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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wfE__pf,axiom, % 166.52/166.29 ! [V_A_2,V_R_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_R_2) % 166.52/166.29 => ( 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))) % 166.52/166.29 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__union__compatible,axiom, % 166.52/166.29 ! [V_S_2,V_R_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_R_2) % 166.52/166.29 => ( c_Wellfounded_Owf(T_b,V_S_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf,axiom, % 166.52/166.29 ! [T_b] : % 166.52/166.29 ( class_Orderings_Owellorder(T_b) % 166.52/166.29 => 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)))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_reduction__pair__def,axiom, % 166.52/166.29 ! [V_Pa_2,T_b] : % 166.52/166.29 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 166.52/166.29 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)) % 166.52/166.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_reduction__pair__lemma,axiom, % 166.52/166.29 ! [V_S_2,V_R_2,V_Pa_2,T_b] : % 166.52/166.29 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) % 166.52/166.29 => ( c_Wellfounded_Owf(T_b,V_S_2) % 166.52/166.29 => 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)) ) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__lenlex,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__if__measure,axiom, % 166.52/166.29 ! [T_b,V_g_2,V_f_2,V_Pa_2] : % 166.52/166.29 ( ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(V_Pa_2,B_x)) % 166.52/166.29 => 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))) ) % 166.52/166.29 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Nitpick_Ozero__frac__def,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Nitpick_Oone__frac__def,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_pred__nat__def,axiom, % 166.52/166.29 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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__pred__nat,axiom, % 166.52/166.29 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Nitpick_Ofrac__def,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__lex,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__lexn,axiom, % 166.52/166.29 ! [V_n_2,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_lex__def,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_lexn_Osimps_I1_J,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__same__fst,axiom, % 166.52/166.29 ! [T_b,V_R_2,T_c,V_Pa_2] : % 166.52/166.29 ( ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(V_Pa_2,B_x)) % 166.52/166.29 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) ) % 166.52/166.29 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Range__Collect__split,axiom, % 166.52/166.29 ! [V_Pa_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_image__split__eq__Sigma,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_SigmaI,axiom, % 166.52/166.29 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.29 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 166.52/166.29 => 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))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_RangeI,axiom, % 166.52/166.29 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Times__eq__cancel2,axiom, % 166.52/166.29 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 166.52/166.29 => ( 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)) % 166.52/166.29 <=> V_A_2 = V_B_2 ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Sigma__Diff__distrib1,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Times__Diff__distrib1,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Sigma__Diff__distrib2,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Range__Id__on,axiom, % 166.52/166.29 ! [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 ). % 166.52/166.29 % 166.52/166.29 fof(fact_Sigma__empty1,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_card__cartesian__product,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_setsum__cartesian__product,axiom, % 166.52/166.29 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 166.52/166.29 ( class_Groups_Ocomm__monoid__add(T_b) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Times__empty,axiom, % 166.52/166.29 ! [V_B_2,V_A_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.29 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Sigma__empty2,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Compl__Times__UNIV1,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Compl__Times__UNIV2,axiom, % 166.52/166.29 ! [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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_setprod__cartesian__product,axiom, % 166.52/166.29 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 166.52/166.29 ( class_Groups_Ocomm__monoid__mult(T_b) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Sigma__Un__distrib1,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Times__Un__distrib1,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Sigma__Un__distrib2,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_rel__comp__subset__Sigma,axiom, % 166.52/166.29 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 166.52/166.29 ( 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)))) % 166.52/166.29 => ( 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)))) % 166.52/166.29 => 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)))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_swap__product,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_finite__cartesian__product,axiom, % 166.52/166.29 ! [V_B_2,T_c,V_A_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 166.52/166.29 => 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)))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_equiv__type,axiom, % 166.52/166.29 ! [V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.29 => 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)))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Sigma__Int__distrib2,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Times__Int__distrib1,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Sigma__Int__distrib1,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Id__on__subset__Times,axiom, % 166.52/166.29 ! [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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Range__Diff__subset,axiom, % 166.52/166.29 ! [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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_UNIV__Times__UNIV,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_SigmaE2,axiom, % 166.52/166.29 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.29 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_SigmaD2,axiom, % 166.52/166.29 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_SigmaD1,axiom, % 166.52/166.29 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mem__Sigma__iff,axiom, % 166.52/166.29 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.29 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Range__empty,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Range__empty__iff,axiom, % 166.52/166.29 ! [V_r_2,T_b,T_c] : % 166.52/166.29 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.29 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Range__Un__eq,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_finite__Range,axiom, % 166.52/166.29 ! [V_r_2,T_c,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 166.52/166.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_snd__eq__Range,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_card__cartesian__product__singleton,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Times__subset__cancel2,axiom, % 166.52/166.29 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 166.52/166.29 => ( 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)))) % 166.52/166.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Image__subset,axiom, % 166.52/166.29 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 166.52/166.29 ( 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)))) % 166.52/166.29 => 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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_finite__cartesian__productD2,axiom, % 166.52/166.29 ! [V_B_2,V_A_2,T_c,T_b] : % 166.52/166.29 ( 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)))) % 166.52/166.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_finite__cartesian__productD1,axiom, % 166.52/166.29 ! [V_B_2,V_A_2,T_c,T_b] : % 166.52/166.29 ( 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)))) % 166.52/166.29 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 166.52/166.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Collect__split,axiom, % 166.52/166.29 ! [V_Qa_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Qa_2))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_SetCompr__Sigma__eq,axiom, % 166.52/166.29 ! [V_Qa_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Qa_2)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_fst__image__times,axiom, % 166.52/166.29 ! [V_A_2,T_c,T_b,V_B_2] : % 166.52/166.29 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.29 => 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 ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_snd__image__times,axiom, % 166.52/166.29 ! [V_B_2,T_c,T_b,V_A_2] : % 166.52/166.29 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.29 => 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)) ) % 166.52/166.29 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.29 => 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 ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Range__iff,axiom, % 166.52/166.29 ! [V_r_2,T_c,V_a_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 166.52/166.29 <=> ? [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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Range__insert,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Range__Int__subset,axiom, % 166.52/166.29 ! [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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_refl__on__def,axiom, % 166.52/166.29 ! [V_r_2,V_A_2,T_b] : % 166.52/166.29 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.52/166.29 <=> ( 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)))) % 166.52/166.29 & ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_insert__times__insert,axiom, % 166.52/166.29 ! [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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_finite__equiv__class,axiom, % 166.52/166.29 ! [V_X_2,V_r_2,V_A_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.29 => ( 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)))) % 166.52/166.29 => ( 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))) % 166.52/166.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_vimage__Times,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_UN__Times__distrib,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Sigma__def,axiom, % 166.52/166.29 ! [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))))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_finite__quotient,axiom, % 166.52/166.29 ! [V_r_2,V_A_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.29 => ( 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)))) % 166.52/166.29 => 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))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_setsum__mult__setsum__if__inj,axiom, % 166.52/166.29 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : % 166.52/166.29 ( class_Rings_Osemiring__0(T_d) % 166.52/166.29 => ( 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))) % 166.52/166.29 => 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))))))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_RangeP__Range__eq,axiom, % 166.52/166.29 ! [V_x_2,V_r_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 166.52/166.29 ! [V_A_2,V_I_2,T_c,T_b] : % 166.52/166.29 ? [B_f] : % 166.52/166.29 ( 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)) % 166.52/166.29 & 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_RangeP_Ointros,axiom, % 166.52/166.29 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 166.52/166.29 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_image__id,axiom, % 166.52/166.29 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ). % 166.52/166.29 % 166.52/166.29 fof(fact_id__o,axiom, % 166.52/166.29 ! [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 ). % 166.52/166.29 % 166.52/166.29 fof(fact_o__id,axiom, % 166.52/166.29 ! [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 ). % 166.52/166.29 % 166.52/166.29 fof(fact_o__eq__id__dest,axiom, % 166.52/166.29 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 166.52/166.29 ( 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) % 166.52/166.29 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_id__def,axiom, % 166.52/166.29 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 166.52/166.29 % 166.52/166.29 fof(fact_vimage__id,axiom, % 166.52/166.29 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ). % 166.52/166.29 % 166.52/166.29 fof(fact_id__apply,axiom, % 166.52/166.29 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 166.52/166.29 % 166.52/166.29 fof(fact_RangeP_Oequations,axiom, % 166.52/166.29 ! [V_a2_2,V_r_2,T_c,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2)) % 166.52/166.29 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_inj__on__id,axiom, % 166.52/166.29 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ). % 166.52/166.29 % 166.52/166.29 fof(fact_apsnd__id,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_apfst__id,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_of__int__eq__id,axiom, % 166.52/166.29 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 166.52/166.29 % 166.52/166.29 fof(fact_surj__id,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_folding_Oempty,axiom, % 166.52/166.29 ! [V_F_2,V_f_2,T_c,T_b] : % 166.52/166.29 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.52/166.29 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_split__Pair,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_setsum__reindex__id,axiom, % 166.52/166.29 ! [V_B_2,V_f_2,T_b,T_c] : % 166.52/166.29 ( class_Groups_Ocomm__monoid__add(T_c) % 166.52/166.29 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_setprod__reindex__id,axiom, % 166.52/166.29 ! [V_B_2,V_f_2,T_b,T_c] : % 166.52/166.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 166.52/166.29 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_setprod__Sigma,axiom, % 166.52/166.29 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 166.52/166.29 ( class_Groups_Ocomm__monoid__mult(T_d) % 166.52/166.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.29 => ( ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_refl__onI,axiom, % 166.52/166.29 ! [V_A_2,V_r_2,T_b] : % 166.52/166.29 ( 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)))) % 166.52/166.29 => ( ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.29 => 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)) ) % 166.52/166.29 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_setsum__Sigma,axiom, % 166.52/166.29 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 166.52/166.29 ( class_Groups_Ocomm__monoid__add(T_d) % 166.52/166.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.29 => ( ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_fold__image__Sigma,axiom, % 166.52/166.29 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 166.52/166.29 ( class_Groups_Ocomm__monoid__mult(T_d) % 166.52/166.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.29 => ( ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_card__SigmaI,axiom, % 166.52/166.29 ! [V_B_2,T_c,V_A_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.29 => ( ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 166.52/166.29 => 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) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_finite__SigmaI,axiom, % 166.52/166.29 ! [V_B_2,T_c,V_A_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.29 => ( ! [B_a] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 166.52/166.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 166.52/166.29 => 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))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_RangeE,axiom, % 166.52/166.29 ! [V_r_2,T_c,V_b_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 166.52/166.29 => ~ ! [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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_SigmaE,axiom, % 166.52/166.29 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ~ ! [B_x] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.29 => ! [B_y] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x))) % 166.52/166.29 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__Un,axiom, % 166.52/166.29 ! [V_s_2,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => ( c_Wellfounded_Owf(T_b,V_s_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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)) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_DomainI,axiom, % 166.52/166.29 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Domain__Id__on,axiom, % 166.52/166.29 ! [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 ). % 166.52/166.29 % 166.52/166.29 fof(fact_Domain__empty,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Domain__empty__iff,axiom, % 166.52/166.29 ! [V_r_2,T_c,T_b] : % 166.52/166.29 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.29 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Domain__mono,axiom, % 166.52/166.29 ! [V_s_2,V_r_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Domain__Un__eq,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_finite__Domain,axiom, % 166.52/166.29 ! [V_r_2,T_c,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 166.52/166.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_fst__eq__Domain,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Domain__iff,axiom, % 166.52/166.29 ! [V_r_2,T_c,V_a_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 166.52/166.29 <=> ? [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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Domain__insert,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Domain__Int__subset,axiom, % 166.52/166.29 ! [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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Domain__Diff__subset,axiom, % 166.52/166.29 ! [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)))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Field__def,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Domain__Collect__split,axiom, % 166.52/166.29 ! [V_Pa_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_Pa_2)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_DomainP__Domain__eq,axiom, % 166.52/166.29 ! [V_x_2,V_r_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_DomainE,axiom, % 166.52/166.29 ! [V_r_2,T_c,V_a_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 166.52/166.29 => ~ ! [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)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_map__pair__surj,axiom, % 166.52/166.29 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] : % 166.52/166.29 ( 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)) % 166.52/166.29 => ( 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)) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_DomainP_Ointros,axiom, % 166.52/166.29 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 166.52/166.29 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_map__pair__imageI,axiom, % 166.52/166.29 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_map__pair__ident,axiom, % 166.52/166.29 ! [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 ). % 166.52/166.29 % 166.52/166.29 fof(fact_map__pair__simp,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_fst__map__pair,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_snd__prod__fun,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_snd__comp__map__pair,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_fst__comp__map__pair,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_map__pair_Ocomp,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_map__pair__compose,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_map__pair_Ocompositionality,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_map__pair_Oidentity,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_DomainP_Oequations,axiom, % 166.52/166.29 ! [V_a1_2,V_r_2,T_c,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2)) % 166.52/166.29 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_apsnd__def,axiom, % 166.52/166.29 ! [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) ). % 166.52/166.29 % 166.52/166.29 fof(fact_apfst__def,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_map__pair_Oid,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_map__pair__def,axiom, % 166.52/166.29 ! [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)) ). % 166.52/166.29 % 166.52/166.29 fof(fact_map__pair__surj__on,axiom, % 166.52/166.29 ! [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] : % 166.52/166.29 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 166.52/166.29 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2 % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__map__pair__image,axiom, % 166.52/166.29 ! [V_f_2,T_c,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_map__pair__inj__on,axiom, % 166.52/166.29 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.29 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.52/166.29 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2) % 166.52/166.29 => 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))) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_prod__fun__imageE,axiom, % 166.52/166.29 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.29 => ~ ! [B_x,B_y] : % 166.52/166.29 ( 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)) % 166.52/166.29 => ~ 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wfP__def,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_OwfP(T_b,V_r_2) % 166.52/166.29 <=> 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Rep__Integ__induct,axiom, % 166.52/166.29 ! [V_Pa_2,V_y_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 166.52/166.29 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x))) % 166.52/166.29 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wfP__empty,axiom, % 166.52/166.29 ! [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))) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wfP__accp__iff,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_OwfP(T_b,V_r_2) % 166.52/166.29 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_accp__wfPD,axiom, % 166.52/166.29 ! [V_x_2,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_OwfP(T_b,V_r_2) % 166.52/166.29 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wfP__subset,axiom, % 166.52/166.29 ! [V_p_2,V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_OwfP(T_b,V_r_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__in__rel,axiom, % 166.52/166.29 ! [V_R_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_R_2) % 166.52/166.29 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wfP__wf__eq,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( 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)) % 166.52/166.29 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wfP__acyclicP,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_OwfP(T_b,V_r_2) % 166.52/166.29 => 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))) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Rep__Integ__cases,axiom, % 166.52/166.29 ! [V_y_2] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 166.52/166.29 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Abs__Integ__induct,axiom, % 166.52/166.29 ! [V_x_2,V_Pa_2] : % 166.52/166.29 ( ! [B_y] : % 166.52/166.29 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 166.52/166.29 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 166.52/166.29 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_acyclic__subset,axiom, % 166.52/166.29 ! [V_r_2,V_s_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Oacyclic(T_b,V_s_2) % 166.52/166.29 => ( 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)) % 166.52/166.29 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__acyclic,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_finite__acyclic__wf,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 166.52/166.29 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 166.52/166.29 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wf__iff__acyclic__if__finite,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 166.52/166.29 => ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.29 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Nitpick_Owf_H__def,axiom, % 166.52/166.29 ! [V_r_2,T_b] : % 166.52/166.29 ( c_Nitpick_Owf_H(T_b,V_r_2) % 166.52/166.29 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 166.52/166.29 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 166.52/166.29 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_Abs__Integ__cases,axiom, % 166.52/166.29 ! [V_x_2] : % 166.52/166.29 ~ ! [B_y] : % 166.52/166.29 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 166.52/166.29 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_wfP__SUP,axiom, % 166.52/166.29 ! [T_b,V_r_2,T_c] : % 166.52/166.29 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i)) % 166.52/166.29 => ( ! [B_i,B_j] : % 166.52/166.29 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 166.52/166.29 => 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)) ) % 166.52/166.29 => 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)) ) ) ). % 166.52/166.29 % 166.52/166.29 fof(fact_mem__splitE,axiom, % 166.52/166.29 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] : % 166.52/166.29 ( 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))) % 166.52/166.30 => ~ ! [B_x,B_y] : % 166.52/166.30 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) % 166.52/166.30 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_mem__splitI2,axiom, % 166.52/166.30 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] : % 166.52/166.30 ( ! [B_a,B_b] : % 166.52/166.30 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) ) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Eps__split,axiom, % 166.52/166.30 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_exE__some,axiom, % 166.52/166.30 ! [T_b,V_c_2,V_Pa_2] : % 166.52/166.30 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 166.52/166.30 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2) % 166.52/166.30 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_someI__ex,axiom, % 166.52/166.30 ! [T_b,V_Pa_2] : % 166.52/166.30 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 166.52/166.30 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_some__eq__ex,axiom, % 166.52/166.30 ! [T_b,V_Pa_2] : % 166.52/166.30 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) % 166.52/166.30 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_some__eq__trivial,axiom, % 166.52/166.30 ! [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 ). % 166.52/166.30 % 166.52/166.30 fof(fact_some__sym__eq__trivial,axiom, % 166.52/166.30 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 166.52/166.30 % 166.52/166.30 fof(fact_tfl__some,axiom, % 166.52/166.30 ! [T_b,B_P] : % 166.52/166.30 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 166.52/166.30 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_someI,axiom, % 166.52/166.30 ! [T_b,V_x_2,V_Pa_2] : % 166.52/166.30 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.30 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_split__paired__Eps,axiom, % 166.52/166.30 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_Pa_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Eps__split__eq,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_wfI__pf,axiom, % 166.52/166.30 ! [V_R_2,T_b] : % 166.52/166.30 ( ! [B_A] : % 166.52/166.30 ( 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))) % 166.52/166.30 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 166.52/166.30 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sigma__mono,axiom, % 166.52/166.30 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 166.52/166.30 => ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.30 => 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))) ) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_not__acc__down,axiom, % 166.52/166.30 ! [V_R_2,V_x_2,T_b] : % 166.52/166.30 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2))) % 166.52/166.30 => ~ ! [B_z] : % 166.52/166.30 ( 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)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_acc_OaccI,axiom, % 166.52/166.30 ! [V_r_2,V_x_2,T_b] : % 166.52/166.30 ( ! [B_y] : % 166.52/166.30 ( 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)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) ) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_max__ext_Osimps,axiom, % 166.52/166.30 ! [V_R_2,V_a2_2,V_a1_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 166.52/166.30 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 166.52/166.30 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 & ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 166.52/166.30 => ? [B_xa] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 166.52/166.30 & 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)) ) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_wf__no__infinite__down__chainE,axiom, % 166.52/166.30 ! [V_f_2,V_r_2,T_b] : % 166.52/166.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.30 => ~ ! [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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_setsum__reindex__cong,axiom, % 166.52/166.30 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 166.52/166.30 ( class_Groups_Ocomm__monoid__add(T_d) % 166.52/166.30 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.52/166.30 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 166.52/166.30 => ( ! [B_a] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 166.52/166.30 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 166.52/166.30 => 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) ) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_scomp__unfold,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_setsum__ivl__cong,axiom, % 166.52/166.30 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] : % 166.52/166.30 ( ( class_Groups_Ocomm__monoid__add(T_c) % 166.52/166.30 & class_Orderings_Oord(T_b) ) % 166.52/166.30 => ( V_a_2 = V_c_2 % 166.52/166.30 => ( V_b_2 = V_d_2 % 166.52/166.30 => ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x)) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2)) % 166.52/166.30 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 166.52/166.30 => 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)) ) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_scomp__apply,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_scomp__Pair,axiom, % 166.52/166.30 ! [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 ). % 166.52/166.30 % 166.52/166.30 fof(fact_Pair__scomp,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_scomp__scomp,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_scomp__def,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_iterate_Osimps,axiom, % 166.52/166.30 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 166.52/166.30 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.52/166.30 => 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) ) % 166.52/166.30 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_less__eq,axiom, % 166.52/166.30 ! [V_n_2,V_m_2] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_nat__intermed__int__val,axiom, % 166.52/166.30 ! [V_k_2,V_f_2,V_n_2,V_m_2] : % 166.52/166.30 ( ! [B_i] : % 166.52/166.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 166.52/166.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) ) % 166.52/166.30 => 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))) ) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 166.52/166.30 => ? [B_i] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 166.52/166.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 166.52/166.30 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_wf__trancl,axiom, % 166.52/166.30 ! [V_r_2,T_b] : % 166.52/166.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.30 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_less__than__def,axiom, % 166.52/166.30 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 166.52/166.30 % 166.52/166.30 fof(fact_acyclic__def,axiom, % 166.52/166.30 ! [V_r_2,T_b] : % 166.52/166.30 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 166.52/166.30 <=> ! [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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl_Or__into__trancl,axiom, % 166.52/166.30 ! [V_r_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__subset__Field2,axiom, % 166.52/166.30 ! [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))))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__Int__subset,axiom, % 166.52/166.30 ! [V_s_2,V_r_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( 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)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_r__into__trancl_H,axiom, % 166.52/166.30 ! [V_r_2,V_p_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__empty,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__domain,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__range,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_finite__trancl,axiom, % 166.52/166.30 ! [V_r_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 166.52/166.30 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__trans,axiom, % 166.52/166.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( 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))) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 166.52/166.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( 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)) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__into__trancl2,axiom, % 166.52/166.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( 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))) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_r__r__into__trancl,axiom, % 166.52/166.30 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( 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)) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__mono,axiom, % 166.52/166.30 ! [V_s_2,V_r_2,V_p_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 166.52/166.30 => ( 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)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__unfold,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__subset__Sigma,axiom, % 166.52/166.30 ! [V_A_2,V_r_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_log_Osimps,axiom, % 166.52/166.30 ! [V_i,V_b] : % 166.52/166.30 ( ( ( 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))) % 166.52/166.30 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 166.52/166.30 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 166.52/166.30 & ( ~ ( 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))) % 166.52/166.30 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_minus__shift__def,axiom, % 166.52/166.30 ! [V_r,V_l,V_k] : % 166.52/166.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 166.52/166.30 => 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) ) % 166.52/166.30 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_inc__shift__def,axiom, % 166.52/166.30 ! [V_k,V_v] : % 166.52/166.30 ( ( V_v = V_k % 166.52/166.30 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 166.52/166.30 & ( V_v != V_k % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_range,axiom, % 166.52/166.30 ! [V_s,V_k] : % 166.52/166.30 ( 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)) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__insert,axiom, % 166.52/166.30 ! [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)))))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_reflcl__set__eq,axiom, % 166.52/166.30 ! [V_y_2,V_x_2,V_r_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 <=> 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_r__into__rtrancl,axiom, % 166.52/166.30 ! [V_r_2,V_p_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl_Ortrancl__refl,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_IdI,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__into__rtrancl,axiom, % 166.52/166.30 ! [V_r_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Image__closed__trancl,axiom, % 166.52/166.30 ! [V_X_2,V_r_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__Un__subset,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__subset__rtrancl,axiom, % 166.52/166.30 ! [V_s_2,V_r_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__subset,axiom, % 166.52/166.30 ! [V_S_2,V_R_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( 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))) % 166.52/166.30 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__mono,axiom, % 166.52/166.30 ! [V_s_2,V_r_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__Int__subset,axiom, % 166.52/166.30 ! [V_r_2,V_s_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( 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)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Image__Id,axiom, % 166.52/166.30 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ). % 166.52/166.30 % 166.52/166.30 fof(fact_R__O__Id,axiom, % 166.52/166.30 ! [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 ). % 166.52/166.30 % 166.52/166.30 fof(fact_Id__O__R,axiom, % 166.52/166.30 ! [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 ). % 166.52/166.30 % 166.52/166.30 fof(fact_Domain__rtrancl,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Range__rtrancl,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__empty,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__unfold,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__idemp__self__comp,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_r__comp__rtrancl__eq,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_in__rtrancl__UnI,axiom, % 166.52/166.30 ! [V_S_2,V_R_2,V_x_2,T_b] : % 166.52/166.30 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 166.52/166.30 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) ) % 166.52/166.30 => 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__reflcl,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__Un__rtrancl,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__reflcl__absorb,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__idemp,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_refl__rtrancl,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 166.52/166.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( 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))) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 166.52/166.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( 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)) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__trans,axiom, % 166.52/166.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( 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))) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__r__diff__Id,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__trancl__absorb,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__rtrancl__absorb,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_reflcl__trancl,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__reflcl,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__unfold__left,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__unfold__right,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_pair__in__Id__conv,axiom, % 166.52/166.30 ! [V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> V_a_2 = V_b_2 ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__eq__or__trancl,axiom, % 166.52/166.30 ! [V_R_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> ( V_x_2 = V_y_2 % 166.52/166.30 | ( V_x_2 != V_y_2 % 166.52/166.30 & 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__into__trancl2,axiom, % 166.52/166.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( 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))) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtranclD,axiom, % 166.52/166.30 ! [V_R_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( V_a_2 = V_b_2 % 166.52/166.30 | ( V_a_2 != V_b_2 % 166.52/166.30 & 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__into__trancl1,axiom, % 166.52/166.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( 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)) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__rtrancl__trancl,axiom, % 166.52/166.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( 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))) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__trancl__trancl,axiom, % 166.52/166.30 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( 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))) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Domain__Id,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Range__Id,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_refl__Id,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_pair__leq__def,axiom, % 166.52/166.30 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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Not__Domain__rtrancl,axiom, % 166.52/166.30 ! [V_y_2,V_R_2,V_x_2,T_b] : % 166.52/166.30 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2))) % 166.52/166.30 => ( 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))) % 166.52/166.30 <=> V_x_2 = V_y_2 ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_acc__downwards,axiom, % 166.52/166.30 ! [V_b_2,V_r_2,V_a_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 166.52/166.30 => ( 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))) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_acc__downwards__aux,axiom, % 166.52/166.30 ! [V_r_2,V_a_2,V_b_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_wf__insert,axiom, % 166.52/166.30 ! [V_r_2,V_x_2,V_y_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 <=> ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.30 & ~ 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_acyclic__insert,axiom, % 166.52/166.30 ! [V_r_2,V_x_2,V_y_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 166.52/166.30 & ~ 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_refl__reflcl,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Id__def,axiom, % 166.52/166.30 ! [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))))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_irrefl__diff__Id,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_pred__nat__trancl__eq__le,axiom, % 166.52/166.30 ! [V_n_2,V_m_2] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__subset__Sigma__aux,axiom, % 166.52/166.30 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( 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)))) % 166.52/166.30 => ( V_a_2 = V_b_2 % 166.52/166.30 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_irrefl__tranclI,axiom, % 166.52/166.30 ! [V_x_2,V_r_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ~ 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_sequence__trans,axiom, % 166.52/166.30 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] : % 166.52/166.30 ( ! [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))) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_total__on__diff__Id,axiom, % 166.52/166.30 ! [V_r_2,V_A_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converse__Id,axiom, % 166.52/166.30 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__converse,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__converse,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converse__iff,axiom, % 166.52/166.30 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converseI,axiom, % 166.52/166.30 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converseD,axiom, % 166.52/166.30 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converse__rel__comp,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converse__Un,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converse__Id__on,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converse__Int,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converse__converse,axiom, % 166.52/166.30 ! [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 ). % 166.52/166.30 % 166.52/166.30 fof(fact_total__on__converse,axiom, % 166.52/166.30 ! [V_r_2,V_A_2,T_b] : % 166.52/166.30 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.52/166.30 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_refl__on__converse,axiom, % 166.52/166.30 ! [V_r_2,V_A_2,T_b] : % 166.52/166.30 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.52/166.30 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Field__converse,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_finite__converse,axiom, % 166.52/166.30 ! [V_r_2,T_c,T_b] : % 166.52/166.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 166.52/166.30 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converse__inv__image,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converse__UNION,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_acyclic__converse,axiom, % 166.52/166.30 ! [V_r_2,T_b] : % 166.52/166.30 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.52/166.30 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_wf__converse__trancl,axiom, % 166.52/166.30 ! [V_r_2,T_b] : % 166.52/166.30 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.52/166.30 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_equiv__comp__eq,axiom, % 166.52/166.30 ! [V_r_2,V_A_2,T_b] : % 166.52/166.30 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.30 => 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 ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Range__def,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Domain__converse,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Range__converse,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_total__on__empty,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__converseD,axiom, % 166.52/166.30 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__converseI,axiom, % 166.52/166.30 ! [V_r_2,V_x_2,V_y_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__converseI,axiom, % 166.52/166.30 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__converseD,axiom, % 166.52/166.30 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Image__subset__eq,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 <=> 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))))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_refl__on__comp__subset,axiom, % 166.52/166.30 ! [V_r_2,V_A_2,T_b] : % 166.52/166.30 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_comp__equivI,axiom, % 166.52/166.30 ! [V_A_2,V_r_2,T_b] : % 166.52/166.30 ( 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 % 166.52/166.30 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2 % 166.52/166.30 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_finite__acyclic__wf__converse,axiom, % 166.52/166.30 ! [V_r_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 166.52/166.30 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 166.52/166.30 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_total__on__def,axiom, % 166.52/166.30 ! [V_r_2,V_A_2,T_b] : % 166.52/166.30 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2) % 166.52/166.30 <=> ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.30 => ! [B_xa] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 166.52/166.30 => ( B_x != B_xa % 166.52/166.30 => ( 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)) % 166.52/166.30 | 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)) ) ) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converse__def,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 166.52/166.30 ! [V_R_2,V_p_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 166.52/166.30 => 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_acyclicI,axiom, % 166.52/166.30 ! [V_r_2,T_b] : % 166.52/166.30 ( ! [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))) % 166.52/166.30 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_wf__exp,axiom, % 166.52/166.30 ! [V_R_2,V_n_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_funpow__swap1,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_funpow__mult,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_comp__funpow,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__pow__commute,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__pow__1,axiom, % 166.52/166.30 ! [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 ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__pow__imp__rtrancl,axiom, % 166.52/166.30 ! [V_R_2,V_n_2,V_p_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__power,axiom, % 166.52/166.30 ! [V_R_2,V_p_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 166.52/166.30 <=> ? [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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_relpow_Osimps_I2_J,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__pow__add,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_relpow_Osimps_I1_J,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__pow__0__I,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__pow__0__E,axiom, % 166.52/166.30 ! [V_R_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => V_x_2 = V_y_2 ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__pow__Suc__I2,axiom, % 166.52/166.30 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( 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))) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__pow__Suc__I,axiom, % 166.52/166.30 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( 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)) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_funpow_Osimps_I2_J,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_funpow__add,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_funpow_Osimps_I1_J,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_trancl__power,axiom, % 166.52/166.30 ! [V_R_2,V_p_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 166.52/166.30 <=> ? [B_n] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 166.52/166.30 & 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_funpow__code__def,axiom, % 166.52/166.30 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__pow__E2,axiom, % 166.52/166.30 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.30 => V_x_2 != V_z_2 ) % 166.52/166.30 => ~ ! [B_y,B_m] : % 166.52/166.30 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 166.52/166.30 => ( 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)) % 166.52/166.30 => ~ 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))) ) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__pow__E,axiom, % 166.52/166.30 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.30 => V_x_2 != V_z_2 ) % 166.52/166.30 => ~ ! [B_y,B_m] : % 166.52/166.30 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 166.52/166.30 => ( 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))) % 166.52/166.30 => ~ 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)) ) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Image__Int__eq,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : % 166.52/166.30 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2)) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_single__valued__rel__pow,axiom, % 166.52/166.30 ! [V_n_2,V_R_2,T_b] : % 166.52/166.30 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_single__valued__Id,axiom, % 166.52/166.30 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_single__valued__subset,axiom, % 166.52/166.30 ! [V_s_2,V_r_2,T_c,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 166.52/166.30 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_single__valued__rel__comp,axiom, % 166.52/166.30 ! [V_s_2,T_d,V_r_2,T_c,T_b] : % 166.52/166.30 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 166.52/166.30 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_single__valued__Id__on,axiom, % 166.52/166.30 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_single__valuedD,axiom, % 166.52/166.30 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] : % 166.52/166.30 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 166.52/166.30 => ( 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)) % 166.52/166.30 => ( 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)) % 166.52/166.30 => V_y_2 = V_z_2 ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_single__valued__def,axiom, % 166.52/166.30 ! [V_r_2,T_c,T_b] : % 166.52/166.30 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 166.52/166.30 <=> ! [B_x,B_y] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ! [B_z] : % 166.52/166.30 ( 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)) % 166.52/166.30 => B_y = B_z ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_single__valued__confluent,axiom, % 166.52/166.30 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 166.52/166.30 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2) % 166.52/166.30 => ( 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))) % 166.52/166.30 => ( 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))) % 166.52/166.30 => ( 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))) % 166.52/166.30 | 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))) ) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__Un__separatorE,axiom, % 166.52/166.30 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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_Pa_2),V_Qa_2)))) % 166.52/166.30 => ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) % 166.52/166.30 => ! [B_y] : % 166.52/166.30 ( 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_Qa_2)) % 166.52/166.30 => B_x = B_y ) ) % 166.52/166.30 => 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_Pa_2))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__Un__separator__converseE,axiom, % 166.52/166.30 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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_Pa_2),V_Qa_2)))) % 166.52/166.30 => ( ! [B_x] : % 166.52/166.30 ( 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_Pa_2))) % 166.52/166.30 => ! [B_y] : % 166.52/166.30 ( 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_Qa_2)) % 166.52/166.30 => B_y = B_x ) ) % 166.52/166.30 => 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_Pa_2))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__pow__Suc__D2,axiom, % 166.52/166.30 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ? [B_y] : % 166.52/166.30 ( 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)) % 166.52/166.30 & 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__pow__Suc__E2,axiom, % 166.52/166.30 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ~ ! [B_y] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ~ 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__pow__Suc__E,axiom, % 166.52/166.30 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ~ ! [B_y] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ~ 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_tranclD2,axiom, % 166.52/166.30 ! [V_R_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ? [B_z] : % 166.52/166.30 ( 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))) % 166.52/166.30 & 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_tranclD,axiom, % 166.52/166.30 ! [V_R_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ? [B_z] : % 166.52/166.30 ( 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)) % 166.52/166.30 & 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_IdE,axiom, % 166.52/166.30 ! [V_p_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b))) % 166.52/166.30 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 166.52/166.30 ! [V_x_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 => 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) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_mod__div__decomp,axiom, % 166.52/166.30 ! [V_b,V_a,T_a] : % 166.52/166.30 ( class_Divides_Osemiring__div(T_a) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fold__empty,axiom, % 166.52/166.30 ! [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 ). % 166.52/166.30 % 166.52/166.30 fof(fact_fold__image__def,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_folding_Oeq__fold,axiom, % 166.52/166.30 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fold__def,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_union__fold__insert,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fold__sup__insert,axiom, % 166.52/166.30 ! [V_a_2,V_b_2,V_A_2,T_b] : % 166.52/166.30 ( class_Lattices_Osemilattice__sup(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fold__inf__insert,axiom, % 166.52/166.30 ! [V_a_2,V_b_2,V_A_2,T_b] : % 166.52/166.30 ( class_Lattices_Osemilattice__inf(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_min__max_Ofold__inf__insert,axiom, % 166.52/166.30 ! [V_a_2,V_b_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_min__max_Ofold__sup__insert,axiom, % 166.52/166.30 ! [V_a_2,V_b_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 166.52/166.30 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 166.52/166.30 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_sup__SUPR__fold__sup,axiom, % 166.52/166.30 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 166.52/166.30 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_sup__le__fold__sup,axiom, % 166.52/166.30 ! [V_b_2,V_a_2,V_A_2,T_b] : % 166.52/166.30 ( class_Lattices_Osemilattice__sup(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.30 => 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fold__inf__le__inf,axiom, % 166.52/166.30 ! [V_b_2,V_a_2,V_A_2,T_b] : % 166.52/166.30 ( class_Lattices_Osemilattice__inf(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.30 => 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 166.52/166.30 ! [V_b_2,V_a_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.30 => 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_min__max_Osup__le__fold__sup,axiom, % 166.52/166.30 ! [V_b_2,V_a_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.30 => 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fold1__eq__fold__idem,axiom, % 166.52/166.30 ! [V_a_2,V_A_2,T_b] : % 166.52/166.30 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 166.52/166.30 ! [V_a_2,V_A_2,T_b] : % 166.52/166.30 ( class_Lattices_Olattice(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 166.52/166.30 ! [V_a_2,V_A_2,T_b] : % 166.52/166.30 ( class_Lattices_Olattice(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Min_Oeq__fold__idem_H,axiom, % 166.52/166.30 ! [V_a_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Max_Oeq__fold__idem_H,axiom, % 166.52/166.30 ! [V_a_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 166.52/166.30 ! [V_a_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 166.52/166.30 ! [V_a_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_minus__fold__remove,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_folding__one_Oeq__fold_H,axiom, % 166.52/166.30 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 => 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) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_SUPR__fold__sup,axiom, % 166.52/166.30 ! [V_f_2,V_A_2,T_b,T_c] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fold1__eq__fold,axiom, % 166.52/166.30 ! [V_a_2,V_A_2,T_b] : % 166.52/166.30 ( class_Groups_Oab__semigroup__mult(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.30 => 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) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 166.52/166.30 ! [V_x_2,V_A_2,T_b] : % 166.52/166.30 ( class_Lattices_Olattice(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 => 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) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 166.52/166.30 ! [V_x_2,V_A_2,T_b] : % 166.52/166.30 ( class_Lattices_Olattice(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 => 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) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Min_Oeq__fold_H,axiom, % 166.52/166.30 ! [V_x_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 => 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) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Max_Oeq__fold_H,axiom, % 166.52/166.30 ! [V_x_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 => 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) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 166.52/166.30 ! [V_x_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 => 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) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm_Ofold__rec,axiom, % 166.52/166.30 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 => 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)))))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 166.52/166.30 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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)))))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 166.52/166.30 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 166.52/166.30 => V_y_2 = V_x_2 ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm,axiom, % 166.52/166.30 ! [T_b] : % 166.52/166.30 ( class_Groups_Oab__semigroup__mult(T_b) % 166.52/166.30 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 166.52/166.30 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 166.52/166.30 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 166.52/166.30 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 166.52/166.30 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm_Ofold__equality,axiom, % 166.52/166.30 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 166.52/166.30 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 166.52/166.30 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm_Ofold__insert,axiom, % 166.52/166.30 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 => 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)) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 166.52/166.30 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 => 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) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 166.52/166.30 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.30 => ? [B_y_H] : % 166.52/166.30 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 166.52/166.30 & 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)) ) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INFI__fold__inf,axiom, % 166.52/166.30 ! [V_f_2,V_A_2,T_b,T_c] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__E,axiom, % 166.52/166.30 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 166.52/166.30 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__D,axiom, % 166.52/166.30 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INF1__D,axiom, % 166.52/166.30 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INF1__E,axiom, % 166.52/166.30 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 166.52/166.30 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INF2__D,axiom, % 166.52/166.30 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INF2__E,axiom, % 166.52/166.30 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 166.52/166.30 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_finite__INT,axiom, % 166.52/166.30 ! [V_A_2,T_c,V_I_2,T_b] : % 166.52/166.30 ( ? [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 166.52/166.30 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Compl__INT,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Compl__UN,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_UN__simps_I7_J,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_UN__extend__simps_I7_J,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__extend__simps_I9_J,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__simps_I9_J,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Image__INT__subset,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Collect__ball__eq,axiom, % 166.52/166.30 ! [V_Pa_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_Pa_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_Pa_2))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__extend__simps_I1_J,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.52/166.30 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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 ) % 166.52/166.30 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__extend__simps_I2_J,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.52/166.30 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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 ) % 166.52/166.30 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INF__const,axiom, % 166.52/166.30 ! [V_M_2,T_b,V_A_2,T_c] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.52/166.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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 ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__insert__distrib,axiom, % 166.52/166.30 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__extend__simps_I5_J,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__simps_I5_J,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__Int__distrib,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Pow__INT__eq,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INFI__apply,axiom, % 166.52/166.30 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INF__commute,axiom, % 166.52/166.30 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INFI__bool__eq,axiom, % 166.52/166.30 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_c,T_b] : % 166.52/166.30 ( 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) % 166.52/166.30 <=> ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.52/166.30 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_b,T_c] : % 166.52/166.30 ( 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)) % 166.52/166.30 <=> ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.52/166.30 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INF__INT__eq2,axiom, % 166.52/166.30 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 <=> 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__iff,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_vimage__INT,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__extend__simps_I10_J,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__simps_I10_J,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INF__INT__eq,axiom, % 166.52/166.30 ! [V_x_2,V_r_2,T_c,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 <=> 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__absorb,axiom, % 166.52/166.30 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__empty,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__constant,axiom, % 166.52/166.30 ! [V_c_2,T_c,T_b,V_A_2] : % 166.52/166.30 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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)) ) % 166.52/166.30 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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 ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__insert,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__lower,axiom, % 166.52/166.30 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_le__INF__iff,axiom, % 166.52/166.30 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => ( 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))) % 166.52/166.30 <=> ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__subset__iff,axiom, % 166.52/166.30 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INF__less__iff,axiom, % 166.52/166.30 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] : % 166.52/166.30 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 & class_Orderings_Olinorder(T_b) ) % 166.52/166.30 => ( 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)) % 166.52/166.30 <=> ? [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 166.52/166.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__Un,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converse__INTER,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__simps_I7_J,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__simps_I6_J,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__extend__simps_I7_J,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Un__INT__distrib,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__extend__simps_I6_J,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Un__INT__distrib2,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INF__subset,axiom, % 166.52/166.30 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INTER__def,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__simps_I2_J,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.52/166.30 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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)) ) % 166.52/166.30 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__simps_I1_J,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.52/166.30 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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)) ) % 166.52/166.30 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__extend__simps_I3_J,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.52/166.30 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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) ) % 166.52/166.30 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__simps_I3_J,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.52/166.30 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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)) ) % 166.52/166.30 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__extend__simps_I4_J,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.52/166.30 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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 ) % 166.52/166.30 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INF__leI,axiom, % 166.52/166.30 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__greaterThan__UNIV,axiom, % 166.52/166.30 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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__simps_I4_J,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 166.52/166.30 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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)) ) % 166.52/166.30 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Image__INT__eq,axiom, % 166.52/166.30 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] : % 166.52/166.30 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) % 166.52/166.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_inf__INFI__fold__inf,axiom, % 166.52/166.30 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inf__fold__inf,axiom, % 166.52/166.30 ! [V_A_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sup__fold__sup,axiom, % 166.52/166.30 ! [V_A_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_finite__Inter,axiom, % 166.52/166.30 ! [V_M_2,T_b] : % 166.52/166.30 ( ? [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2)) % 166.52/166.30 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 166.52/166.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_UnionI,axiom, % 166.52/166.30 ! [V_A_2,V_C_2,V_X_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_InterD,axiom, % 166.52/166.30 ! [V_X_2,V_C_2,V_A_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_InterE,axiom, % 166.52/166.30 ! [V_X_2,V_C_2,V_A_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__simps_I8_J,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INT__extend__simps_I8_J,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INF2__iff,axiom, % 166.52/166.30 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 <=> ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INF1__iff,axiom, % 166.52/166.30 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 <=> ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_INTER__eq__Inter__image,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inter__image__eq,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Un__Inter,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Union__upper,axiom, % 166.52/166.30 ! [V_A_2,V_B_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_le__Inf__iff,axiom, % 166.52/166.30 ! [V_A_2,V_b_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => ( 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))) % 166.52/166.30 <=> ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sup__le__iff,axiom, % 166.52/166.30 ! [V_b_2,V_A_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => ( 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)) % 166.52/166.30 <=> ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inf__less__iff,axiom, % 166.52/166.30 ! [V_a_2,V_S_2,T_b] : % 166.52/166.30 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 & class_Orderings_Olinorder(T_b) ) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2)) % 166.52/166.30 <=> ? [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 166.52/166.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_less__Sup__iff,axiom, % 166.52/166.30 ! [V_S_2,V_a_2,T_b] : % 166.52/166.30 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 & class_Orderings_Olinorder(T_b) ) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2))) % 166.52/166.30 <=> ? [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 166.52/166.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Field__Union,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Union__disjoint,axiom, % 166.52/166.30 ! [V_A_2,V_C_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 <=> ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Union__Pow__eq,axiom, % 166.52/166.30 ! [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 ). % 166.52/166.30 % 166.52/166.30 fof(fact_Domain__Union,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_vimage__Union,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Range__Union,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_image__Union,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Int__Union,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Int__Union2,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sigma__Union,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_UN__simps_I8_J,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_UN__extend__simps_I8_J,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sup__Inf,axiom, % 166.52/166.30 ! [V_A_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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)))))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inf__Sup,axiom, % 166.52/166.30 ! [V_A_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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))))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inter__lower,axiom, % 166.52/166.30 ! [V_A_2,V_B_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Union__empty,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Union__mono,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Union__quotient,axiom, % 166.52/166.30 ! [V_r_2,V_A_2,T_b] : % 166.52/166.30 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.30 => 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 ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Union__insert,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_finite__UnionD,axiom, % 166.52/166.30 ! [V_A_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) % 166.52/166.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_subset__Pow__Union,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inter__anti__mono,axiom, % 166.52/166.30 ! [V_A_2,V_B_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inter__empty,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inter__eq,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Union__UNIV,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Union__Un__distrib,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inter__insert,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_UNION__eq__Union__image,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Union__image__eq,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sup__upper,axiom, % 166.52/166.30 ! [V_A_2,V_x_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inter__UNIV,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inf__lower,axiom, % 166.52/166.30 ! [V_A_2,V_x_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inter__Un__distrib,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sup__empty,axiom, % 166.52/166.30 ! [T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sup__singleton,axiom, % 166.52/166.30 ! [V_a_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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 ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sup__insert,axiom, % 166.52/166.30 ! [V_A_2,V_a_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Int__Inter__image,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inf__singleton,axiom, % 166.52/166.30 ! [V_a_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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 ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sup__UNIV,axiom, % 166.52/166.30 ! [T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inf__empty,axiom, % 166.52/166.30 ! [T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inf__UNIV,axiom, % 166.52/166.30 ! [T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inf__insert,axiom, % 166.52/166.30 ! [V_A_2,V_a_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Un__eq__Union,axiom, % 166.52/166.30 ! [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))))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Un__Union__image,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Union__Int__subset,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Int__eq__Inter,axiom, % 166.52/166.30 ! [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))))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inter__Un__subset,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sup__binary,axiom, % 166.52/166.30 ! [V_b_2,V_a_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inf__binary,axiom, % 166.52/166.30 ! [V_b_2,V_a_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_sup__Sup__fold__sup,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Sup__fin__Sup,axiom, % 166.52/166.30 ! [V_A_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_inf__Inf__fold__inf,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inf__fin__Inf,axiom, % 166.52/166.30 ! [V_A_2,T_b] : % 166.52/166.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_image__INT,axiom, % 166.52/166.30 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 166.52/166.30 => ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) % 166.52/166.30 => 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)) ) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2)) % 166.52/166.30 => 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)) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_card__partition,axiom, % 166.52/166.30 ! [V_k_2,V_C_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 166.52/166.30 => ( ! [B_c] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2)) % 166.52/166.30 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 ) % 166.52/166.30 => ( ! [B_c1] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2)) % 166.52/166.30 => ! [B_c2] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2)) % 166.52/166.30 => ( B_c1 != B_c2 % 166.52/166.30 => 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)) ) ) ) % 166.52/166.30 => 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)) ) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inter__def,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Union__def,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_finite__Union,axiom, % 166.52/166.30 ! [V_A_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) % 166.52/166.30 => ( ! [B_M] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) ) % 166.52/166.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_insert__partition,axiom, % 166.52/166.30 ! [V_F_2,V_x_2,T_b] : % 166.52/166.30 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)) % 166.52/166.30 => ( ! [B_x] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ! [B_xa] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( B_x != B_xa % 166.52/166.30 => 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)) ) ) ) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_inj__on__Inter,axiom, % 166.52/166.30 ! [V_f_2,T_c,T_b,V_S_2] : % 166.52/166.30 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 166.52/166.30 => ( ! [B_A] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2)) % 166.52/166.30 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) ) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Inter__subset,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_b] : % 166.52/166.30 ( ! [B_X] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) ) % 166.52/166.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_inj__on__INTER,axiom, % 166.52/166.30 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] : % 166.52/166.30 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.30 => ( ! [B_i] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2)) % 166.52/166.30 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) ) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 166.52/166.30 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] : % 166.52/166.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.30 => ( 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)) % 166.52/166.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 => ~ ! [B_y] : % 166.52/166.30 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 166.52/166.30 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 166.52/166.30 ! [V_c_2,V_b_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 166.52/166.30 => 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 166.52/166.30 ! [V_c_2,V_b_2,V_A_2,T_b] : % 166.52/166.30 ( class_Orderings_Olinorder(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 166.52/166.30 => 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_InterI,axiom, % 166.52/166.30 ! [V_A_2,V_C_2,T_b] : % 166.52/166.30 ( ! [B_X] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) ) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_inf__le__fold__inf,axiom, % 166.52/166.30 ! [V_c_2,V_b_2,V_A_2,T_b] : % 166.52/166.30 ( class_Lattices_Osemilattice__inf(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 166.52/166.30 => 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_fold__sup__le__sup,axiom, % 166.52/166.30 ! [V_c_2,V_b_2,V_A_2,T_b] : % 166.52/166.30 ( class_Lattices_Osemilattice__sup(T_b) % 166.52/166.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 166.52/166.30 => 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_wf__eq__minimal,axiom, % 166.52/166.30 ! [V_r_2,T_b] : % 166.52/166.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 166.52/166.30 <=> ! [B_Q] : % 166.52/166.30 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 166.52/166.30 => ? [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 166.52/166.30 & ! [B_y] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_transfer__nat__int__set__cong,axiom, % 166.52/166.30 ! [V_P_H_2,V_Pa_2] : % 166.52/166.30 ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 166.52/166.30 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 166.52/166.30 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 166.52/166.30 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Int__Collect__mono,axiom, % 166.52/166.30 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.52/166.30 => ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.30 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 166.52/166.30 => hBOOL(hAPP(V_Qa_2,B_x)) ) ) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Qa_2)))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_UnionE,axiom, % 166.52/166.30 ! [V_C_2,V_A_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ~ ! [B_X] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) % 166.52/166.30 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rel__compE,axiom, % 166.52/166.30 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ~ ! [B_x,B_y,B_z] : % 166.52/166.30 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z) % 166.52/166.30 => ( 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)) % 166.52/166.30 => ~ 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)) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_converseE,axiom, % 166.52/166.30 ! [V_r_2,V_yx_2,T_c,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ~ ! [B_x,B_y] : % 166.52/166.30 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x) % 166.52/166.30 => ~ 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Nitpick_Oplus__frac__def,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Nitpick_Otimes__frac__def,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Nitpick_Oof__frac__def,axiom, % 166.52/166.30 ! [V_q,T_a,T_b] : % 166.52/166.30 ( ( class_Rings_Oinverse(T_b) % 166.52/166.30 & class_Rings_Oring__1(T_b) ) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Nitpick_Oless__frac__def,axiom, % 166.52/166.30 ! [V_r_2,V_q_2,T_b] : % 166.52/166.30 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2) % 166.52/166.30 <=> 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 166.52/166.30 ! [V_r_2,V_q_2,T_b] : % 166.52/166.30 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2) % 166.52/166.30 <=> 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Nitpick_Onum__def,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Nitpick_Odenom__def,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_setprod__pos,axiom, % 166.52/166.30 ! [V_f_2,V_A_2,T_b,T_c] : % 166.52/166.30 ( class_Rings_Olinordered__semidom(T_c) % 166.52/166.30 => ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_internal__split__def,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_internal__split__conv,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_setprod__nonneg,axiom, % 166.52/166.30 ! [V_f_2,V_A_2,T_b,T_c] : % 166.52/166.30 ( class_Rings_Olinordered__semidom(T_c) % 166.52/166.30 => ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_bool_Osize_I2_J,axiom, % 166.52/166.30 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.52/166.30 % 166.52/166.30 fof(fact_bool_Osize_I1_J,axiom, % 166.52/166.30 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.52/166.30 % 166.52/166.30 fof(fact_finite__less__ub,axiom, % 166.52/166.30 ! [V_u_2,V_f_2] : % 166.52/166.30 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n))) % 166.52/166.30 => 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lenlex__def,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_neq__if__length__neq,axiom, % 166.52/166.30 ! [V_ys,V_xs,T_a] : % 166.52/166.30 ( 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) % 166.52/166.30 => V_xs != V_ys ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lexn__length,axiom, % 166.52/166.30 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2 % 166.52/166.30 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lenlex__conv,axiom, % 166.52/166.30 ! [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)))))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_length__sublist,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lexn_Osimps_I2_J,axiom, % 166.52/166.30 ! [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)))))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_impossible__Cons,axiom, % 166.52/166.30 ! [V_x,V_ys,V_xs,T_a] : % 166.52/166.30 ( 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))) % 166.52/166.30 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_list_Oinject,axiom, % 166.52/166.30 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] : % 166.52/166.30 ( 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) % 166.52/166.30 <=> ( V_a_2 = V_a_H_2 % 166.52/166.30 & V_list_2 = V_list_H_2 ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_not__Cons__self2,axiom, % 166.52/166.30 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 166.52/166.30 % 166.52/166.30 fof(fact_not__Cons__self,axiom, % 166.52/166.30 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 166.52/166.30 % 166.52/166.30 fof(fact_list_Osize_I4_J,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Cons__in__lex,axiom, % 166.52/166.30 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> ( ( 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)) % 166.52/166.30 & 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) ) % 166.52/166.30 | ( V_x_2 = V_y_2 % 166.52/166.30 & 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_set__Cons__def,axiom, % 166.52/166.30 ! [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)))))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_pick_Osimps,axiom, % 166.52/166.30 ! [V_xs,V_x,T_a,V_i] : % 166.52/166.30 ( ( 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))) % 166.52/166.30 => 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) ) % 166.52/166.30 & ( ~ 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))) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_select__weight__cons__zero,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lexord__cons__cons,axiom, % 166.52/166.30 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> ( 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)) % 166.52/166.30 | ( V_a_2 = V_b_2 % 166.52/166.30 & 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lexord__lex,axiom, % 166.52/166.30 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> ( 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))) % 166.52/166.30 & 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) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 166.52/166.30 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( 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)))) % 166.52/166.30 => 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)))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_list_Osize_I2_J,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Cons__acc__listrel1I,axiom, % 166.52/166.30 ! [V_xs_2,V_r_2,V_x_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 166.52/166.30 => ( 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)))) % 166.52/166.30 => 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)))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel1__mono,axiom, % 166.52/166.30 ! [V_s_2,V_r_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel1__converse,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 166.52/166.30 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel1I2,axiom, % 166.52/166.30 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__listrel1__eq__len,axiom, % 166.52/166.30 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel1__eq__len,axiom, % 166.52/166.30 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_in__listrel1__converse,axiom, % 166.52/166.30 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 <=> 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Cons__listrel1__Cons,axiom, % 166.52/166.30 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> ( ( 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)) % 166.52/166.30 & V_xs_2 = V_ys_2 ) % 166.52/166.30 | ( V_x_2 = V_y_2 % 166.52/166.30 & 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel1I1,axiom, % 166.52/166.30 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__Cons,axiom, % 166.52/166.30 ! [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))))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lexord__linear,axiom, % 166.52/166.30 ! [V_y_2,V_x_2,V_r_2,T_b] : % 166.52/166.30 ( ! [B_a,B_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 | B_a = B_b % 166.52/166.30 | 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)) ) % 166.52/166.30 => ( 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))) % 166.52/166.30 | V_x_2 = V_y_2 % 166.52/166.30 | 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__rtrancl__refl,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__mono,axiom, % 166.52/166.30 ! [V_s_2,V_r_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__eq__len,axiom, % 166.52/166.30 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__rtrancl__trans,axiom, % 166.52/166.30 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => ( 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)))) % 166.52/166.30 => 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)))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__reflcl__if__listrel1,axiom, % 166.52/166.30 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel1__subset__listrel,axiom, % 166.52/166.30 ! [V_r_H_2,V_r_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 166.52/166.30 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel_OCons,axiom, % 166.52/166.30 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 => ( 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))) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrelp__listrel__eq,axiom, % 166.52/166.30 ! [V_xa_2,V_x_2,V_r_2,T_b] : % 166.52/166.30 ( 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) % 166.52/166.30 <=> 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__Cons1,axiom, % 166.52/166.30 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ~ ! [B_y,B_ys] : % 166.52/166.30 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys) % 166.52/166.30 => ( 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)) % 166.52/166.30 => ~ 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrelp_Oequations_I2_J,axiom, % 166.52/166.30 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] : % 166.52/166.30 ( 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)) % 166.52/166.30 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 166.52/166.30 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrelp_OCons,axiom, % 166.52/166.30 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 166.52/166.30 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__Cons2,axiom, % 166.52/166.30 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ~ ! [B_x,B_xs] : % 166.52/166.30 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 166.52/166.30 => ( 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)) % 166.52/166.30 => ~ 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))) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__subset,axiom, % 166.52/166.30 ! [V_A_2,V_r_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => 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))))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lists__UNIV,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lists__mono,axiom, % 166.52/166.30 ! [V_B_2,V_A_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_equiv__listrel,axiom, % 166.52/166.30 ! [V_r_2,V_A_2,T_b] : % 166.52/166.30 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__refl__on,axiom, % 166.52/166.30 ! [V_r_2,V_A_2,T_b] : % 166.52/166.30 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_Cons__in__lists__iff,axiom, % 166.52/166.30 ! [V_A_2,V_xs_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.30 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lists__accD,axiom, % 166.52/166.30 ! [V_r_2,V_xs_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lists__accI,axiom, % 166.52/166.30 ! [V_r_2,V_xs_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__iff__nth,axiom, % 166.52/166.30 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> ( 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) % 166.52/166.30 & ! [B_n] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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)) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lexord__irreflexive,axiom, % 166.52/166.30 ! [V_y_2,V_r_2,T_b] : % 166.52/166.30 ( ! [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)) % 166.52/166.30 => ~ 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_infinite__UNIV__listI,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_list__eq__iff__nth__eq,axiom, % 166.52/166.30 ! [T_b,V_ys_2,V_xs_2] : % 166.52/166.30 ( V_xs_2 = V_ys_2 % 166.52/166.30 <=> ( 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) % 166.52/166.30 & ! [B_i] : % 166.52/166.30 ( 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))) % 166.52/166.30 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_nth__Cons__0,axiom, % 166.52/166.30 ! [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 ). % 166.52/166.30 % 166.52/166.30 fof(fact_nth__Cons__Suc,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_nth_Osimps,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_nth__Cons_H,axiom, % 166.52/166.30 ! [V_xs,V_x,T_a,V_n] : % 166.52/166.30 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.30 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 166.52/166.30 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_nth__Cons__number__of,axiom, % 166.52/166.30 ! [V_xs,V_x,T_a,V_v] : % 166.52/166.30 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.30 => 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 ) % 166.52/166.30 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lexord__take__index__conv,axiom, % 166.52/166.30 ! [V_r_2,V_y_2,V_x_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> ( ( 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))) % 166.52/166.30 & 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 ) % 166.52/166.30 | ? [B_i] : % 166.52/166.30 ( 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)))) % 166.52/166.30 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2) % 166.52/166.30 & 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)) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_set__sublist,axiom, % 166.52/166.30 ! [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))))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_finite__set,axiom, % 166.52/166.30 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_set__subset__Cons,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_take__all,axiom, % 166.52/166.30 ! [V_n,V_xs,T_a] : % 166.52/166.30 ( 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)) % 166.52/166.30 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_set__take__subset__set__take,axiom, % 166.52/166.30 ! [V_xs_2,T_b,V_n_2,V_m_2] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.52/166.30 => 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_set__take__subset,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_set__sublist__subset,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_nth__take,axiom, % 166.52/166.30 ! [V_xs,T_a,V_n,V_i] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_set__ConsD,axiom, % 166.52/166.30 ! [V_xs_2,V_x_2,V_y_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => ( V_y_2 = V_x_2 % 166.52/166.30 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_in__set__sublistD,axiom, % 166.52/166.30 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_in__set__takeD,axiom, % 166.52/166.30 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_notin__set__sublistI,axiom, % 166.52/166.30 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 166.52/166.30 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.30 => ~ 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)))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_take__Suc__Cons,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_sublist__upt__eq__take,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_length__take,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_take__take,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_List_Oset_Osimps_I2_J,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_card__length,axiom, % 166.52/166.30 ! [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))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_all__set__conv__all__nth,axiom, % 166.52/166.30 ! [V_Pa_2,V_xs_2,T_b] : % 166.52/166.30 ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.30 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.52/166.30 <=> ! [B_i] : % 166.52/166.30 ( 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))) % 166.52/166.30 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_list__size__estimation,axiom, % 166.52/166.30 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_list__size__estimation_H,axiom, % 166.52/166.30 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 166.52/166.30 => 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))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_in__lists__conv__set,axiom, % 166.52/166.30 ! [V_A_2,V_xs_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 166.52/166.30 <=> ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_length__pos__if__in__set,axiom, % 166.52/166.30 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_in__set__conv__nth,axiom, % 166.52/166.30 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.30 <=> ? [B_i] : % 166.52/166.30 ( 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))) % 166.52/166.30 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_nth__mem,axiom, % 166.52/166.30 ! [V_xs_2,T_b,V_n_2] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_lists__eq__set,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_set__conv__nth,axiom, % 166.52/166.30 ! [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))))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_finite__lists__length__eq,axiom, % 166.52/166.30 ! [V_n_2,V_A_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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))))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_finite__lists__length__le,axiom, % 166.52/166.30 ! [V_n_2,V_A_2,T_b] : % 166.52/166.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.30 => 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))))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listrel__iff__zip,axiom, % 166.52/166.30 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.30 ( 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))) % 166.52/166.30 <=> ( 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) % 166.52/166.30 & ! [B_x] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => 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)) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_set__zip,axiom, % 166.52/166.30 ! [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)))))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_take__zip,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_length__zip,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_zip__Cons__Cons,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_list__eq__iff__zip__eq,axiom, % 166.52/166.30 ! [T_b,V_ys_2,V_xs_2] : % 166.52/166.30 ( V_xs_2 = V_ys_2 % 166.52/166.30 <=> ( 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) % 166.52/166.30 & ! [B_x] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_in__set__zipE,axiom, % 166.52/166.30 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.30 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_set__zip__rightD,axiom, % 166.52/166.30 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_set__zip__leftD,axiom, % 166.52/166.30 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_zip__same,axiom, % 166.52/166.30 ! [V_xs_2,V_b_2,V_a_2,T_b] : % 166.52/166.30 ( 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)))) % 166.52/166.30 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.30 & V_a_2 = V_b_2 ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_nth__zip,axiom, % 166.52/166.30 ! [V_ys,T_b,V_xs,T_a,V_i] : % 166.52/166.30 ( 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))) % 166.52/166.30 => ( 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))) % 166.52/166.30 => 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)) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_greaterThanLessThan__upto,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listsum__setsum__nth,axiom, % 166.52/166.30 ! [V_xs_2,T_b] : % 166.52/166.30 ( class_Groups_Ocomm__monoid__add(T_b) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_atLeastAtMost__upto,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_set__upto,axiom, % 166.52/166.30 ! [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) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 166.52/166.30 ! [V_ns_2] : % 166.52/166.30 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.30 <=> ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 166.52/166.30 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_elem__le__listsum__nat,axiom, % 166.52/166.30 ! [V_ns,V_k] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listsum__simps_I2_J,axiom, % 166.52/166.30 ! [V_xs,V_x,T_a] : % 166.52/166.30 ( class_Groups_Omonoid__add(T_a) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_atLeastLessThan__upto,axiom, % 166.52/166.30 ! [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)))) ). % 166.52/166.30 % 166.52/166.30 fof(fact_greaterThanAtMost__upto,axiom, % 166.52/166.30 ! [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)) ). % 166.52/166.30 % 166.52/166.30 fof(fact_nat__list__def,axiom, % 166.52/166.30 ! [V_l_2] : % 166.52/166.30 ( c_List_Onat__list(V_l_2) % 166.52/166.30 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_list__size__pointwise,axiom, % 166.52/166.30 ! [V_g_2,V_f_2,V_xs_2,T_b] : % 166.52/166.30 ( ! [B_x] : % 166.52/166.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 166.52/166.30 => 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))) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_listsum__update__nat,axiom, % 166.52/166.30 ! [V_n,V_ns,V_k] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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)) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_butlast__take,axiom, % 166.52/166.30 ! [V_xs,T_a,V_n] : % 166.52/166.30 ( 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))) % 166.52/166.30 => 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) ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_list__update__beyond,axiom, % 166.52/166.30 ! [V_x,V_i,V_xs,T_a] : % 166.52/166.30 ( 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)) % 166.52/166.30 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 166.52/166.30 % 166.52/166.30 fof(fact_list__update__id,axiom, % 166.52/166.30 ! [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 ). % 166.52/166.30 % 166.52/166.30 fof(fact_nth__list__update__neq,axiom, % 166.52/166.30 ! [V_x,V_xs,T_a,V_j,V_i] : % 166.52/166.30 ( V_i != V_j % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__list__update,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_butlast__list__update,axiom, % 166.52/166.31 ! [V_x,V_xs,T_a,V_k] : % 166.52/166.31 ( ( 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)) % 166.52/166.31 => 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) ) % 166.52/166.31 & ( 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)) % 166.52/166.31 => 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) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__update,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_update__zip,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__update__swap,axiom, % 166.52/166.31 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 166.52/166.31 ( V_i != V_i_H % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__update__overwrite,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__update_Osimps_I2_J,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__update__code_I2_J,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__update__code_I3_J,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_in__set__butlastD,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 166.52/166.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__update__subsetI,axiom, % 166.52/166.31 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] : % 166.52/166.31 ( 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)) % 166.52/166.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__update__subset__insert,axiom, % 166.52/166.31 ! [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)))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__list__update,axiom, % 166.52/166.31 ! [V_x,V_j,V_xs,T_a,V_i] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ( ( V_i = V_j % 166.52/166.31 => 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 ) % 166.52/166.31 & ( V_i != V_j % 166.52/166.31 => 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) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__update__same__conv,axiom, % 166.52/166.31 ! [V_x_2,V_xs_2,T_b,V_i_2] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 166.52/166.31 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__list__update__eq,axiom, % 166.52/166.31 ! [V_x,V_xs,T_a,V_i] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__butlast,axiom, % 166.52/166.31 ! [V_xs,T_a,V_n] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__butlast,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__update__memI,axiom, % 166.52/166.31 ! [V_x_2,V_xs_2,T_b,V_n_2] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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)))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_butlast__conv__take,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listrel1__iff__update,axiom, % 166.52/166.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 <=> ? [B_y,B_n] : % 166.52/166.31 ( 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)) % 166.52/166.31 & 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))) % 166.52/166.31 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__list__update,axiom, % 166.52/166.31 ! [V_i_2,V_a_2,V_xs_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 => ( ~ 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)))))) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__upto,axiom, % 166.52/166.31 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__take,axiom, % 166.52/166.31 ! [V_i,V_xs,T_a] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__sublistI,axiom, % 166.52/166.31 ! [V_I_2,V_xs_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__zipI2,axiom, % 166.52/166.31 ! [V_xs,T_b,V_ys,T_a] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__zipI1,axiom, % 166.52/166.31 ! [V_ys,T_b,V_xs,T_a] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct_Osimps_I2_J,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) % 166.52/166.31 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__card,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_card__distinct,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( 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) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__conv__nth,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 <=> ! [B_i] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ! [B_j] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ( B_i != B_j % 166.52/166.31 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__eq__iff__index__eq,axiom, % 166.52/166.31 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 => ( 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))) % 166.52/166.31 => ( 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))) % 166.52/166.31 => ( 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) % 166.52/166.31 <=> V_i_2 = V_j_2 ) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__listsum__conv__Setsum,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( class_Groups_Ocomm__monoid__add(T_b) % 166.52/166.31 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Nitpick_Ocard_H__def,axiom, % 166.52/166.31 ! [V_A_2,T_b] : % 166.52/166.31 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.31 => 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)))) ) % 166.52/166.31 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.31 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__take__lemma,axiom, % 166.52/166.31 ! [V_ys,V_xs,T_a,V_k] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ( 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))) % 166.52/166.31 => ( ! [B_i] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 166.52/166.31 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 166.52/166.31 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__remove1__eq,axiom, % 166.52/166.31 ! [V_x_2,V_xs_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 => 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)))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__Cons__number__of,axiom, % 166.52/166.31 ! [V_xs,V_x,T_a,V_v] : % 166.52/166.31 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 => 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) ) % 166.52/166.31 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_lists_ONil,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listrel__Nil2,axiom, % 166.52/166.31 ! [V_r_2,V_xs_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listrel__Nil1,axiom, % 166.52/166.31 ! [V_r_2,V_xs_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__butlast,axiom, % 166.52/166.31 ! [T_a,V_xs] : % 166.52/166.31 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct_Osimps_I1_J,axiom, % 166.52/166.31 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__remove1,axiom, % 166.52/166.31 ! [V_x,V_xs,T_a] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_butlast_Osimps_I1_J,axiom, % 166.52/166.31 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 166.52/166.31 % 166.52/166.31 fof(fact_butlast_Osimps_I2_J,axiom, % 166.52/166.31 ! [V_x,T_a,V_xs] : % 166.52/166.31 ( ( V_xs = c_List_Olist_ONil(T_a) % 166.52/166.31 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 166.52/166.31 & ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remove1_Osimps_I2_J,axiom, % 166.52/166.31 ! [V_xs,T_a,V_y,V_x] : % 166.52/166.31 ( ( V_x = V_y % 166.52/166.31 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 166.52/166.31 & ( V_x != V_y % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list_Osimps_I3_J,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list_Osimps_I2_J,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upto__empty,axiom, % 166.52/166.31 ! [V_i,V_j] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 166.52/166.31 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__0,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__eq__Nil,axiom, % 166.52/166.31 ! [V_xs_2,V_n_2,T_b] : % 166.52/166.31 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 166.52/166.31 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__Nil,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sublist__nil,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remove1_Osimps_I1_J,axiom, % 166.52/166.31 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remove1__commute,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list_Osize_I1_J,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listrelp_ONil,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listrelp_Oequations_I1_J,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip_Osimps_I1_J,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__Nil,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__simps_I1_J,axiom, % 166.52/166.31 ! [T_a] : % 166.52/166.31 ( class_Groups_Omonoid__add(T_a) % 166.52/166.31 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__0__conv,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list_Osize_I3_J,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_List_Oset_Osimps_I1_J,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__empty2,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2) % 166.52/166.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__empty,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remove1__idem,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_notin__set__remove1,axiom, % 166.52/166.31 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => ~ 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)))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_in__set__remove1,axiom, % 166.52/166.31 ! [V_xs_2,T_b,V_b_2,V_a_2] : % 166.52/166.31 ( V_a_2 != V_b_2 % 166.52/166.31 => ( 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)))) % 166.52/166.31 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__update__nonempty,axiom, % 166.52/166.31 ! [V_x_2,V_k_2,V_xs_2,T_b] : % 166.52/166.31 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b) % 166.52/166.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__update_Osimps_I1_J,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__update__code_I1_J,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sublist__empty,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__remove1__subset,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__greater__0__conv,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__1__Cons,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_not__listrel1__Nil,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_not__Nil__listrel1,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listrel_ONil,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_lexord__Nil__right,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Nil2__notin__lex,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Nil__notin__lex,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__Cons,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upto_Osimps,axiom, % 166.52/166.31 ! [V_j,V_i] : % 166.52/166.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 166.52/166.31 => 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)) ) % 166.52/166.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 166.52/166.31 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sublist__singleton,axiom, % 166.52/166.31 ! [V_x_2,T_b,V_A_2] : % 166.52/166.31 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 166.52/166.31 => 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)) ) % 166.52/166.31 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 166.52/166.31 => 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) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_lists__empty,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__Cons_H,axiom, % 166.52/166.31 ! [V_xs,V_x,T_a,V_n] : % 166.52/166.31 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 => 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) ) % 166.52/166.31 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upto__rec__number__of,axiom, % 166.52/166.31 ! [V_n,V_m] : % 166.52/166.31 ( ( 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))) % 166.52/166.31 => 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))) ) % 166.52/166.31 & ( ~ 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))) % 166.52/166.31 => 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) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listrel__Nil,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__Cons__sing__Nil,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__remove1,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => 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)) ) % 166.52/166.31 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => 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) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upto_Opsimps,axiom, % 166.52/166.31 ! [V_j_2,V_i_2] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 166.52/166.31 => 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)) ) % 166.52/166.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 166.52/166.31 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_select,axiom, % 166.52/166.31 ! [V_s_2,T_b,V_xs_2] : % 166.52/166.31 ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listset_Osimps_I1_J,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__Cons,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list_Osimps_I5_J,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list_Osimps_I4_J,axiom, % 166.52/166.31 ! [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 ). % 166.52/166.31 % 166.52/166.31 fof(fact_listset_Osimps_I2_J,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__Cons1,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__list__of__set__remove,axiom, % 166.52/166.31 ! [V_x_2,V_A_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upto_Opinduct,axiom, % 166.52/166.31 ! [V_Pa_2,V_a1_2,V_a0_2] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ( ! [B_i,B_j] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 166.52/166.31 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) ) % 166.52/166.31 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) % 166.52/166.31 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__list__of__set__empty,axiom, % 166.52/166.31 ! [T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_anamorph_Osimps,axiom, % 166.52/166.31 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 166.52/166.31 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.52/166.31 => 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) ) % 166.52/166.31 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sublist__Cons,axiom, % 166.52/166.31 ! [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)))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append1__eq__conv,axiom, % 166.52/166.31 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 <=> ( V_xs_2 = V_ys_2 % 166.52/166.31 & V_x_2 = V_y_2 ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Cons__eq__append__conv,axiom, % 166.52/166.31 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( 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) % 166.52/166.31 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 166.52/166.31 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 ) % 166.52/166.31 | ? [B_ys_H] : % 166.52/166.31 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2 % 166.52/166.31 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__eq__Cons__conv,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] : % 166.52/166.31 ( 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) % 166.52/166.31 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 166.52/166.31 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) % 166.52/166.31 | ? [B_ys_H] : % 166.52/166.31 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) % 166.52/166.31 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Cons__eq__appendI,axiom, % 166.52/166.31 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 166.52/166.31 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 166.52/166.31 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 166.52/166.31 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__Cons,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__in__lists__conv,axiom, % 166.52/166.31 ! [V_A_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 166.52/166.31 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__assoc,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__eq__append__conv2,axiom, % 166.52/166.31 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_ts_2) % 166.52/166.31 <=> ? [B_us] : % 166.52/166.31 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us) % 166.52/166.31 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 ) % 166.52/166.31 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2 % 166.52/166.31 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_same__append__eq,axiom, % 166.52/166.31 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( 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) % 166.52/166.31 <=> V_ys_2 = V_zs_2 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__same__eq,axiom, % 166.52/166.31 ! [V_zs_2,V_xs_2,V_ys_2,T_b] : % 166.52/166.31 ( 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) % 166.52/166.31 <=> V_ys_2 = V_zs_2 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__eq__appendI,axiom, % 166.52/166.31 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 166.52/166.31 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 166.52/166.31 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 166.52/166.31 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__append,axiom, % 166.52/166.31 ! [V_ys,V_xs,T_a] : % 166.52/166.31 ( class_Groups_Omonoid__add(T_a) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__append,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__append,axiom, % 166.52/166.31 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 166.52/166.31 ( 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) % 166.52/166.31 => ( 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) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__append,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_eq__Nil__appendI,axiom, % 166.52/166.31 ! [T_a,V_ys,V_xs] : % 166.52/166.31 ( V_xs = V_ys % 166.52/166.31 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__self__conv2,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2 % 166.52/166.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__self__conv,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2 % 166.52/166.31 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__is__Nil__conv,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b) % 166.52/166.31 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 166.52/166.31 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_self__append__conv2,axiom, % 166.52/166.31 ! [V_xs_2,T_b,V_ys_2] : % 166.52/166.31 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 166.52/166.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_self__append__conv,axiom, % 166.52/166.31 ! [V_ys_2,T_b,V_xs_2] : % 166.52/166.31 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 166.52/166.31 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__Nil2,axiom, % 166.52/166.31 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 166.52/166.31 % 166.52/166.31 fof(fact_Nil__is__append__conv,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 166.52/166.31 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 166.52/166.31 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__Nil,axiom, % 166.52/166.31 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 166.52/166.31 % 166.52/166.31 fof(fact_butlast__append,axiom, % 166.52/166.31 ! [V_xs,T_a,V_ys] : % 166.52/166.31 ( ( V_ys = c_List_Olist_ONil(T_a) % 166.52/166.31 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 166.52/166.31 & ( V_ys != c_List_Olist_ONil(T_a) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__append__length,axiom, % 166.52/166.31 ! [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 ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__append__length__plus,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__append,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__update__append1,axiom, % 166.52/166.31 ! [V_x,V_ys,V_xs,T_a,V_i] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__update__length,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remove1__append,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => 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) ) % 166.52/166.31 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_in__set__butlast__appendI,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 166.52/166.31 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) ) % 166.52/166.31 => 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))))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_butlast__snoc,axiom, % 166.52/166.31 ! [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 ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__listrel1I,axiom, % 166.52/166.31 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( ( ( 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))) % 166.52/166.31 & V_us_2 = V_vs_2 ) % 166.52/166.31 | ( V_xs_2 = V_ys_2 % 166.52/166.31 & 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))) ) ) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_lexord__append__leftI,axiom, % 166.52/166.31 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__append,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 166.52/166.31 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 166.52/166.31 & 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__append,axiom, % 166.52/166.31 ! [V_ys,V_xs,T_a,V_n] : % 166.52/166.31 ( ( 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))) % 166.52/166.31 => 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) ) % 166.52/166.31 & ( ~ 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))) % 166.52/166.31 => 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))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__update__append,axiom, % 166.52/166.31 ! [V_x,V_ys,V_xs,T_a,V_n] : % 166.52/166.31 ( ( 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))) % 166.52/166.31 => 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) ) % 166.52/166.31 & ( ~ 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))) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sublist__append,axiom, % 166.52/166.31 ! [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)))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listrel1I,axiom, % 166.52/166.31 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 166.52/166.31 ( 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)) % 166.52/166.31 => ( 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)) % 166.52/166.31 => ( 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)) % 166.52/166.31 => 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))) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_lexord__append__left__rightI,axiom, % 166.52/166.31 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] : % 166.52/166.31 ( 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)) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__Suc__conv__app__nth,axiom, % 166.52/166.31 ! [V_xs,T_a,V_i] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_snoc__listrel1__snoc__iff,axiom, % 166.52/166.31 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 <=> ( ( 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))) % 166.52/166.31 & V_x_2 = V_y_2 ) % 166.52/166.31 | ( V_xs_2 = V_ys_2 % 166.52/166.31 & 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)) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listrel1E,axiom, % 166.52/166.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ~ ! [B_x,B_y] : % 166.52/166.31 ( 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)) % 166.52/166.31 => ! [B_us,B_vs] : % 166.52/166.31 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs)) % 166.52/166.31 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_lexord__append__leftD,axiom, % 166.52/166.31 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ( ! [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)) % 166.52/166.31 => 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))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate1__def,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upd__conv__take__nth__drop,axiom, % 166.52/166.31 ! [V_a,V_xs,T_a,V_i] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__take__drop__id,axiom, % 166.52/166.31 ! [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 ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__1__Cons,axiom, % 166.52/166.31 ! [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 ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__Suc__Cons,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__via__drop,axiom, % 166.52/166.31 ! [V_ys,V_y,V_xs,V_n,T_a] : % 166.52/166.31 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 166.52/166.31 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct1__rotate,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2))) % 166.52/166.31 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__drop,axiom, % 166.52/166.31 ! [V_i,V_xs,T_a] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__butlast,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_butlast__drop,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__take,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__drop,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__0,axiom, % 166.52/166.31 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__drop,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__zip,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__drop,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__rotate1,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__rotate1,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_in__set__dropD,axiom, % 166.52/166.31 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 166.52/166.31 ( 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)))) % 166.52/166.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__drop__subset,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate1__is__Nil__conv,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 166.52/166.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__Nil,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__drop__subset__set__drop,axiom, % 166.52/166.31 ! [V_xs_2,T_b,V_m_2,V_n_2] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) % 166.52/166.31 => 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)))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__eq__Nil,axiom, % 166.52/166.31 ! [V_xs_2,V_n_2,T_b] : % 166.52/166.31 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 166.52/166.31 <=> 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__all,axiom, % 166.52/166.31 ! [V_n,V_xs,T_a] : % 166.52/166.31 ( 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)) % 166.52/166.31 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__append,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__eq__conv__conj,axiom, % 166.52/166.31 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2 % 166.52/166.31 <=> ( 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) % 166.52/166.31 & 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) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__Cons,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__Cons_H,axiom, % 166.52/166.31 ! [V_xs,V_x,T_a,V_n] : % 166.52/166.31 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 => 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) ) % 166.52/166.31 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 => 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) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__drop,axiom, % 166.52/166.31 ! [V_xs,T_a,V_i,V_n] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__eq__append__conv__if,axiom, % 166.52/166.31 ! [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] : % 166.52/166.31 ( 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) % 166.52/166.31 <=> ( ( 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))) % 166.52/166.31 => ( 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) % 166.52/166.31 & 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) ) ) % 166.52/166.31 & ( ~ 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))) % 166.52/166.31 => ( 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 % 166.52/166.31 & 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 ) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__drop_H,axiom, % 166.52/166.31 ! [V_xs,T_a,V_i] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate__simps,axiom, % 166.52/166.31 ! [V_xs,V_x,T_b,T_a] : % 166.52/166.31 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 166.52/166.31 & 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__Cons__number__of,axiom, % 166.52/166.31 ! [V_xs,V_x,T_a,V_v] : % 166.52/166.31 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 => 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) ) % 166.52/166.31 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 => 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) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__add,axiom, % 166.52/166.31 ! [V_xs,T_a,V_j,V_i] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate1__length01,axiom, % 166.52/166.31 ! [V_xs,T_a] : % 166.52/166.31 ( 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))) % 166.52/166.31 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__append1,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__append2,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_id__take__nth__drop,axiom, % 166.52/166.31 ! [V_xs,T_a,V_i] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__hd__drop,axiom, % 166.52/166.31 ! [V_xs,T_a,V_n] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_hd__drop__conv__nth,axiom, % 166.52/166.31 ! [V_n,T_a,V_xs] : % 166.52/166.31 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => ( 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))) % 166.52/166.31 => 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) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_hd_Osimps,axiom, % 166.52/166.31 ! [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 ). % 166.52/166.31 % 166.52/166.31 fof(fact_hd__append,axiom, % 166.52/166.31 ! [V_ys,T_a,V_xs] : % 166.52/166.31 ( ( V_xs = c_List_Olist_ONil(T_a) % 166.52/166.31 => 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) ) % 166.52/166.31 & ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => 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) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_hd__append2,axiom, % 166.52/166.31 ! [V_ys,T_a,V_xs] : % 166.52/166.31 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_hd__in__set,axiom, % 166.52/166.31 ! [T_b,V_xs_2] : % 166.52/166.31 ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_hd__conv__nth,axiom, % 166.52/166.31 ! [T_a,V_xs] : % 166.52/166.31 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate1__hd__tl,axiom, % 166.52/166.31 ! [T_a,V_xs] : % 166.52/166.31 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_hd__rotate__conv__nth,axiom, % 166.52/166.31 ! [V_n,T_a,V_xs] : % 166.52/166.31 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_tl__drop,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__tl,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_tl_Osimps_I2_J,axiom, % 166.52/166.31 ! [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 ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__rotate,axiom, % 166.52/166.31 ! [V_xs_2,V_n_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2))) % 166.52/166.31 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__tl,axiom, % 166.52/166.31 ! [V_xs,T_a] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate__add,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate0,axiom, % 166.52/166.31 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate__rotate,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__rotate,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__rotate,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate__is__Nil__conv,axiom, % 166.52/166.31 ! [V_xs_2,V_n_2,T_b] : % 166.52/166.31 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 166.52/166.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_tl_Osimps_I1_J,axiom, % 166.52/166.31 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate__def,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate1__rotate__swap,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_tl__append2,axiom, % 166.52/166.31 ! [V_ys,T_a,V_xs] : % 166.52/166.31 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__tl,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate__conv__mod,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__Suc,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate__Suc,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_tl__append,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate__id,axiom, % 166.52/166.31 ! [V_xs,T_a,V_n] : % 166.52/166.31 ( 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) % 166.52/166.31 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate__length01,axiom, % 166.52/166.31 ! [V_n,V_xs,T_a] : % 166.52/166.31 ( 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))) % 166.52/166.31 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__tl,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_tl__take,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__Suc,axiom, % 166.52/166.31 ! [V_n,T_a,V_xs] : % 166.52/166.31 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate__drop__take,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_fold1__set,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 166.52/166.31 => ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_lexord__append__rightI,axiom, % 166.52/166.31 ! [V_r_2,V_x_2,T_b,V_y_2] : % 166.52/166.31 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldl__Nil,axiom, % 166.52/166.31 ! [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 ). % 166.52/166.31 % 166.52/166.31 fof(fact_start__le__sum,axiom, % 166.52/166.31 ! [V_ns_2,V_n_2,V_m_2] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldl__absorb0,axiom, % 166.52/166.31 ! [V_zs_2,V_x_2,T_b] : % 166.52/166.31 ( class_Groups_Omonoid__add(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldl__assoc,axiom, % 166.52/166.31 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 166.52/166.31 ( class_Groups_Osemigroup__add(T_b) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldl__Cons,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldl__append,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__foldl,axiom, % 166.52/166.31 ! [T_b] : % 166.52/166.31 ( class_Groups_Omonoid__add(T_b) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sum__eq__0__conv,axiom, % 166.52/166.31 ! [V_ns_2,V_m_2] : % 166.52/166.31 ( 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) % 166.52/166.31 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 & ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 166.52/166.31 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 166.52/166.31 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Sup__set__fold,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Inf__set__fold,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Sup__fin__set__fold,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( class_Lattices_Olattice(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Inf__fin__set__fold,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( class_Lattices_Olattice(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Min__fin__set__fold,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Max__fin__set__fold,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_min__max_OInf__fin__set__fold,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_min__max_OSup__fin__set__fold,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_SUPR__set__fold,axiom, % 166.52/166.31 ! [V_f_2,V_xs_2,T_c,T_b] : % 166.52/166.31 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_INFI__set__fold,axiom, % 166.52/166.31 ! [V_f_2,V_xs_2,T_c,T_b] : % 166.52/166.31 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_elem__le__sum,axiom, % 166.52/166.31 ! [V_ns_2,V_n_2] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__list__of__set__insert,axiom, % 166.52/166.31 ! [V_x_2,V_A_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.31 => 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)))))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_lexord__Nil__left,axiom, % 166.52/166.31 ! [V_r_2,V_y_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_insort__key_Osimps_I1_J,axiom, % 166.52/166.31 ! [V_x_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_insort__key_Osimps_I2_J,axiom, % 166.52/166.31 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( ( 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))) % 166.52/166.31 => 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)) ) % 166.52/166.31 & ( ~ 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))) % 166.52/166.31 => 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)) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_fun__left__comm__insort,axiom, % 166.52/166.31 ! [T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_insort__left__comm,axiom, % 166.52/166.31 ! [V_xs_2,V_y_2,V_x_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_insort__key__left__comm,axiom, % 166.52/166.31 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__insort,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__insort,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remove1__insort,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_insort__not__Nil,axiom, % 166.52/166.31 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__insort,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => ( 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))) % 166.52/166.31 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_insort__insert__insort__key,axiom, % 166.52/166.31 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( ~ 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)))) % 166.52/166.31 => 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) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_insort__insert__insort,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => 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) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__insort__insert,axiom, % 166.52/166.31 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 => 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))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_insort__insert__triv,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__insort__insert,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_insort__insert__key__triv,axiom, % 166.52/166.31 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( 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)))) % 166.52/166.31 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_last__list__update,axiom, % 166.52/166.31 ! [V_x,V_k,T_a,V_xs] : % 166.52/166.31 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => ( ( 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)) % 166.52/166.31 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 166.52/166.31 & ( 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)) % 166.52/166.31 => 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) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_last__conv__nth,axiom, % 166.52/166.31 ! [T_a,V_xs] : % 166.52/166.31 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_last__append,axiom, % 166.52/166.31 ! [V_xs,T_a,V_ys] : % 166.52/166.31 ( ( V_ys = c_List_Olist_ONil(T_a) % 166.52/166.31 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 166.52/166.31 & ( V_ys != c_List_Olist_ONil(T_a) % 166.52/166.31 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_last__appendR,axiom, % 166.52/166.31 ! [V_xs,T_a,V_ys] : % 166.52/166.31 ( V_ys != c_List_Olist_ONil(T_a) % 166.52/166.31 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_last__appendL,axiom, % 166.52/166.31 ! [V_xs,T_a,V_ys] : % 166.52/166.31 ( V_ys = c_List_Olist_ONil(T_a) % 166.52/166.31 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_last_Osimps,axiom, % 166.52/166.31 ! [V_x,T_a,V_xs] : % 166.52/166.31 ( ( V_xs = c_List_Olist_ONil(T_a) % 166.52/166.31 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 166.52/166.31 & ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_last__ConsR,axiom, % 166.52/166.31 ! [V_x,T_a,V_xs] : % 166.52/166.31 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_last__ConsL,axiom, % 166.52/166.31 ! [V_x,T_a,V_xs] : % 166.52/166.31 ( V_xs = c_List_Olist_ONil(T_a) % 166.52/166.31 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_last__in__set,axiom, % 166.52/166.31 ! [T_b,V_as_2] : % 166.52/166.31 ( V_as_2 != c_List_Olist_ONil(T_b) % 166.52/166.31 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_last__snoc,axiom, % 166.52/166.31 ! [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 ). % 166.52/166.31 % 166.52/166.31 fof(fact_last__drop,axiom, % 166.52/166.31 ! [V_xs,T_a,V_n] : % 166.52/166.31 ( 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))) % 166.52/166.31 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_snoc__eq__iff__butlast,axiom, % 166.52/166.31 ! [V_ys_2,V_x_2,V_xs_2,T_b] : % 166.52/166.31 ( 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 % 166.52/166.31 <=> ( V_ys_2 != c_List_Olist_ONil(T_b) % 166.52/166.31 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2 % 166.52/166.31 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__butlast__last__id,axiom, % 166.52/166.31 ! [T_a,V_xs] : % 166.52/166.31 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => 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 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_lists_Osimps,axiom, % 166.52/166.31 ! [V_A_2,V_a_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2))) % 166.52/166.31 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 166.52/166.31 | ? [B_a,B_l] : % 166.52/166.31 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l) % 166.52/166.31 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 166.52/166.31 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_select__weigth__select,axiom, % 166.52/166.31 ! [T_b,V_xs_2] : % 166.52/166.31 ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_inj__mapI,axiom, % 166.52/166.31 ! [V_f_2,T_c,T_b] : % 166.52/166.31 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_last__map,axiom, % 166.52/166.31 ! [V_f_2,T_c,T_b,V_xs_2] : % 166.52/166.31 ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldl__map,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_inj__on__map__eq__map,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ( 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) % 166.52/166.31 <=> V_xs_2 = V_ys_2 ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__inj__on,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( 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) % 166.52/166.31 => ( 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))) % 166.52/166.31 => V_xs_2 = V_ys_2 ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__map,axiom, % 166.52/166.31 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__fun__upd,axiom, % 166.52/166.31 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] : % 166.52/166.31 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__tl,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rotate__map,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__same__conv__map,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__map__map,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__map1,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__zip__map,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__zip__map2,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__map2,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Nil__is__map__conv,axiom, % 166.52/166.31 ! [V_xs_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) % 166.52/166.31 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map_Osimps_I1_J,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__is__Nil__conv,axiom, % 166.52/166.31 ! [V_xs_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b) % 166.52/166.31 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__update,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__eq__conv,axiom, % 166.52/166.31 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( 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) % 166.52/166.31 <=> ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2))) % 166.52/166.31 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__map,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__eq__imp__length__eq,axiom, % 166.52/166.31 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( 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) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__addf,axiom, % 166.52/166.31 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( class_Groups_Ocomm__monoid__add(T_b) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__subtractf,axiom, % 166.52/166.31 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( class_Groups_Oab__group__add(T_b) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__0,axiom, % 166.52/166.31 ! [V_xs_2,T_c,T_b] : % 166.52/166.31 ( class_Groups_Omonoid__add(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__const__mult,axiom, % 166.52/166.31 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] : % 166.52/166.31 ( class_Rings_Osemiring__0(T_b) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__mult__const,axiom, % 166.52/166.31 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( class_Rings_Osemiring__0(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__injective,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( 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) % 166.52/166.31 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 166.52/166.31 => V_xs_2 = V_ys_2 ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_inj__map__eq__map,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.52/166.31 => ( 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) % 166.52/166.31 <=> V_xs_2 = V_ys_2 ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__ident,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__map,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__butlast,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__map,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map_Osimps_I2_J,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__append,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_hd__map,axiom, % 166.52/166.31 ! [V_f_2,T_c,T_b,V_xs_2] : % 166.52/166.31 ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__map,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_List_Omap_Ocomp,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__comp__map,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_List_Omap_Ocompositionality,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__map,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_List_Omap_Oidentity,axiom, % 166.52/166.31 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_List_Omap_Oid,axiom, % 166.52/166.31 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__size__map,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__map,axiom, % 166.52/166.31 ! [V_xs_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 166.52/166.31 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 166.52/166.31 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__abs,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 166.52/166.31 => 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)))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_uminus__listsum__map,axiom, % 166.52/166.31 ! [V_xs_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( class_Groups_Oab__group__add(T_b) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_inj__on__mapI,axiom, % 166.52/166.31 ! [V_A_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_inj__map,axiom, % 166.52/166.31 ! [V_f_2,T_c,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_inj__mapD,axiom, % 166.52/166.31 ! [V_f_2,T_c,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 166.52/166.31 ! [V_f_2,V_xs_2,T_b,T_c] : % 166.52/166.31 ( class_Groups_Ocomm__monoid__add(T_c) % 166.52/166.31 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__triv,axiom, % 166.52/166.31 ! [V_xs_2,V_r_2,T_c,T_b] : % 166.52/166.31 ( class_Rings_Osemiring__1(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__map__remove1,axiom, % 166.52/166.31 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] : % 166.52/166.31 ( class_Groups_Ocomm__monoid__add(T_c) % 166.52/166.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => 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)))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Nitpick_Osetsum_H__def,axiom, % 166.52/166.31 ! [V_f_2,V_A_2,T_b,T_c] : % 166.52/166.31 ( class_Groups_Ocomm__monoid__add(T_c) % 166.52/166.31 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.31 => 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))))) ) % 166.52/166.31 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.31 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_pick__same,axiom, % 166.52/166.31 ! [V_xs_2,T_b,V_l_2] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_code__numeral_Oof__nat__inject,axiom, % 166.52/166.31 ! [V_y_2,V_x_2] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 166.52/166.31 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 166.52/166.31 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 166.52/166.31 <=> V_x_2 = V_y_2 ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_one__code__numeral__def,axiom, % 166.52/166.31 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_less__code__numeral__code,axiom, % 166.52/166.31 ! [V_m_2,V_n_2] : % 166.52/166.31 ( 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))) % 166.52/166.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zero__code__numeral__def,axiom, % 166.52/166.31 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 166.52/166.31 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.31 % 166.52/166.31 fof(fact_times__code__numeral__code,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 166.52/166.31 ! [V_m_2,V_n_2] : % 166.52/166.31 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 166.52/166.31 <=> V_n_2 = V_m_2 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__fst__zip,axiom, % 166.52/166.31 ! [V_ys_2,T_c,V_xs_2,T_b] : % 166.52/166.31 ( 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) % 166.52/166.31 => 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 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__snd__zip,axiom, % 166.52/166.31 ! [V_ys_2,T_c,V_xs_2,T_b] : % 166.52/166.31 ( 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) % 166.52/166.31 => 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 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_number__of__code__numeral__def,axiom, % 166.52/166.31 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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__map__fst__snd,axiom, % 166.52/166.31 ! [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 ). % 166.52/166.31 % 166.52/166.31 fof(fact_plus__code__numeral__code,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_less__eq__code__numeral__code,axiom, % 166.52/166.31 ! [V_m_2,V_n_2] : % 166.52/166.31 ( 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))) % 166.52/166.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_pick__member,axiom, % 166.52/166.31 ! [V_xs_2,T_b,V_i_2] : % 166.52/166.31 ( 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)))) % 166.52/166.31 => 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)))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__eq__conv,axiom, % 166.52/166.31 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] : % 166.52/166.31 ( 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) % 166.52/166.31 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2 % 166.52/166.31 <=> ( 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 % 166.52/166.31 & 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 ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__size__conv__listsum,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_code__numeral__not__eq__zero,axiom, % 166.52/166.31 ! [V_i_2] : % 166.52/166.31 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 166.52/166.31 <=> 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 166.52/166.31 ! [V_j_2,V_i_2,V_f_2,T_b] : % 166.52/166.31 ( class_Groups_Ocomm__monoid__add(T_b) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 166.52/166.31 ! [V_l_2,V_k_2,V_f_2,T_b] : % 166.52/166.31 ( class_Groups_Ocomm__monoid__add(T_b) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_select__weight__member,axiom, % 166.52/166.31 ! [V_s_2,V_xs_2,T_b] : % 166.52/166.31 ( 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)))) % 166.52/166.31 => 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)))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_select__weight__def,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_select__def,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_subtract__code__numeral__code,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_times__code__numeral__def,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nat__of__of__nat,axiom, % 166.52/166.31 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 166.52/166.31 % 166.52/166.31 fof(fact_of__nat__nat__of,axiom, % 166.52/166.31 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 166.52/166.31 % 166.52/166.31 fof(fact_nat__of__inverse,axiom, % 166.52/166.31 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 166.52/166.31 % 166.52/166.31 fof(fact_code__numeral_Onat__of__inject,axiom, % 166.52/166.31 ! [V_y_2,V_x_2] : % 166.52/166.31 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 166.52/166.31 <=> V_x_2 = V_y_2 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 166.52/166.31 ! [V_l_2,V_k_2] : % 166.52/166.31 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 166.52/166.31 <=> V_k_2 = V_l_2 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_type__definition__code__numeral,axiom, % 166.52/166.31 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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_less__code__numeral__def,axiom, % 166.52/166.31 ! [V_m_2,V_n_2] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 166.52/166.31 <=> 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nat__of,axiom, % 166.52/166.31 ! [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)))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nat__of__number,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_int__of__def,axiom, % 166.52/166.31 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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_less__eq__code__numeral__def,axiom, % 166.52/166.31 ! [V_m_2,V_n_2] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 166.52/166.31 <=> 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nat__of__code,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nat__of__aux__def,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Suc__code__numeral__def,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_minus__code__numeral__def,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_of__nat__inverse,axiom, % 166.52/166.31 ! [V_y_2] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 166.52/166.31 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_plus__code__numeral__def,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_div__code__numeral__def,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_minus__code__numeral__code,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_subtract__code__numeral__def,axiom, % 166.52/166.31 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.31 % 166.52/166.31 fof(fact_mod__code__numeral__def,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_code__numeral__decr,axiom, % 166.52/166.31 ! [V_k] : % 166.52/166.31 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__mono,axiom, % 166.52/166.31 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] : % 166.52/166.31 ( ( class_Groups_Omonoid__add(T_c) % 166.52/166.31 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 166.52/166.31 => ( ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 166.52/166.31 => 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)))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_partition__set,axiom, % 166.52/166.31 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 166.52/166.31 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_lists__Int__eq,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsp_ONil,axiom, % 166.52/166.31 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsp_Oequations_I1_J,axiom, % 166.52/166.31 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_in__listsp__conv__set,axiom, % 166.52/166.31 ! [V_xs_2,V_A_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 166.52/166.31 <=> ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsp__conj__eq,axiom, % 166.52/166.31 ! [V_x_2,V_B_2,V_A_2,T_b] : % 166.52/166.31 ( 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)) % 166.52/166.31 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2)) % 166.52/166.31 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsp__infI,axiom, % 166.52/166.31 ! [V_B_2,V_l_2,V_A_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2)) % 166.52/166.31 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2)) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsp__inf__eq,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsp_Oequations_I2_J,axiom, % 166.52/166.31 ! [V_a2_2,V_a1_2,V_A_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2))) % 166.52/166.31 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 166.52/166.31 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_append__in__listsp__conv,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_A_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 166.52/166.31 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 166.52/166.31 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsp__mono,axiom, % 166.52/166.31 ! [V_B_2,V_A_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_partition__P,axiom, % 166.52/166.31 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 166.52/166.31 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 166.52/166.31 => ( ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2))) % 166.52/166.31 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.52/166.31 & ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2))) % 166.52/166.31 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_partition_Osimps_I1_J,axiom, % 166.52/166.31 ! [V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsp__lists__eq,axiom, % 166.52/166.31 ! [V_x_2,V_A_2,T_b] : % 166.52/166.31 ( 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)) % 166.52/166.31 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_partition_Osimps_I2_J,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_lists__IntI,axiom, % 166.52/166.31 ! [V_B_2,V_A_2,V_l_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2))) % 166.52/166.31 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2))) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_product_Osimps_I2_J,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__def,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 166.52/166.31 <=> ( 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) % 166.52/166.31 & ! [B_x] : % 166.52/166.31 ( 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)))) % 166.52/166.31 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__map2,axiom, % 166.52/166.31 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2)) % 166.52/166.31 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_Pa_2)),V_f_2),V_as_2,V_bs_2) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__map1,axiom, % 166.52/166.31 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2) % 166.52/166.31 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_Pa_2),V_f_2),V_as_2,V_bs_2) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__dropI,axiom, % 166.52/166.31 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2) % 166.52/166.31 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_bs_2)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__appendI,axiom, % 166.52/166.31 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) % 166.52/166.31 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2) % 166.52/166.31 => c_List_Olist__all2(T_b,T_c,V_Pa_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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__append,axiom, % 166.52/166.31 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 166.52/166.31 ( 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) % 166.52/166.31 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2)) % 166.52/166.31 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 166.52/166.31 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__Cons,axiom, % 166.52/166.31 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) % 166.52/166.31 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 166.52/166.31 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__takeI,axiom, % 166.52/166.31 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 166.52/166.31 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_ys_2)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__eq,axiom, % 166.52/166.31 ! [T_b,V_ys_2,V_xs_2] : % 166.52/166.31 ( V_xs_2 = V_ys_2 % 166.52/166.31 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__lengthD,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__Nil2,axiom, % 166.52/166.31 ! [V_xs_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c)) % 166.52/166.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__Nil,axiom, % 166.52/166.31 ! [V_ys_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2) % 166.52/166.31 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_product_Osimps_I1_J,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__conv__all__nth,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 166.52/166.31 <=> ( 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) % 166.52/166.31 & ! [B_i] : % 166.52/166.31 ( 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))) % 166.52/166.31 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__nthD,axiom, % 166.52/166.31 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 166.52/166.31 => ( 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))) % 166.52/166.31 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__nthD2,axiom, % 166.52/166.31 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 166.52/166.31 => ( 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))) % 166.52/166.31 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__update__cong,axiom, % 166.52/166.31 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 166.52/166.31 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 166.52/166.31 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__update__cong2,axiom, % 166.52/166.31 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 166.52/166.31 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 166.52/166.31 => ( 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))) % 166.52/166.31 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__product,axiom, % 166.52/166.31 ! [V_ys,T_b,V_xs,T_a] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.52/166.31 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_product__list__set,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sublists__powset,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__sublists,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sublists_Osimps_I1_J,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sublists_Osimps_I2_J,axiom, % 166.52/166.31 ! [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))))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__set__sublists,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 => 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)))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__n__lists,axiom, % 166.52/166.31 ! [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)))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_enum__the__def,axiom, % 166.52/166.31 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__n__lists,axiom, % 166.52/166.31 ! [V_n,V_xs,T_a] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_n__lists_Osimps_I1_J,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_n__lists__Nil,axiom, % 166.52/166.31 ! [T_a,V_n] : % 166.52/166.31 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 => 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))) ) % 166.52/166.31 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__n__lists,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__n__lists__elem,axiom, % 166.52/166.31 ! [V_xs_2,V_n_2,V_ys_2,T_b] : % 166.52/166.31 ( 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)))) % 166.52/166.31 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2I,axiom, % 166.52/166.31 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.31 ( ! [B_x] : % 166.52/166.31 ( 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)))) % 166.52/166.31 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) % 166.52/166.31 => ( 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) % 166.52/166.31 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_all__nth__imp__all__set,axiom, % 166.52/166.31 ! [V_x_2,V_Pa_2,V_xs_2,T_b] : % 166.52/166.31 ( ! [B_i] : % 166.52/166.31 ( 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))) % 166.52/166.31 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 166.52/166.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 166.52/166.31 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__removeAll__inj__on,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__remdups,axiom, % 166.52/166.31 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__remdups__leq,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remove1__remdups,axiom, % 166.52/166.31 ! [V_x,V_xs,T_a] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remdups__id__iff__distinct,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2 % 166.52/166.31 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__removeAll,axiom, % 166.52/166.31 ! [V_x,V_xs,T_a] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__remdups__id,axiom, % 166.52/166.31 ! [V_xs,T_a] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.52/166.31 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__remdups,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__remdups__eq,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( 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) % 166.52/166.31 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remdups__remdups,axiom, % 166.52/166.31 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remdups_Osimps_I1_J,axiom, % 166.52/166.31 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remdups__eq__nil__right__iff,axiom, % 166.52/166.31 ! [V_x_2,T_b] : % 166.52/166.31 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2) % 166.52/166.31 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_removeAll_Osimps_I1_J,axiom, % 166.52/166.31 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remdups__eq__nil__iff,axiom, % 166.52/166.31 ! [V_x_2,T_b] : % 166.52/166.31 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b) % 166.52/166.31 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_removeAll_Osimps_I2_J,axiom, % 166.52/166.31 ! [V_xs,T_a,V_y,V_x] : % 166.52/166.31 ( ( V_x = V_y % 166.52/166.31 => 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) ) % 166.52/166.31 & ( V_x != V_y % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_removeAll__append,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remdups__map__remdups,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_removeAll__id,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__remove1__removeAll,axiom, % 166.52/166.31 ! [V_x,V_xs,T_a] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.52/166.31 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remdups_Osimps_I2_J,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => 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) ) % 166.52/166.31 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__remdups__card__conv,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__removeAll__inj,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__removeAll,axiom, % 166.52/166.31 ! [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)))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__remdups__concat,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sort__key__simps_I1_J,axiom, % 166.52/166.31 ! [V_f_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_concat_Osimps_I1_J,axiom, % 166.52/166.31 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldl__conv__concat,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_concat__conv__foldl,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__sort,axiom, % 166.52/166.31 ! [V_xs_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__sort,axiom, % 166.52/166.31 ! [V_xs_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_concat_Osimps_I2_J,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__sort,axiom, % 166.52/166.31 ! [V_xs_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2))) % 166.52/166.31 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Nil__eq__concat__conv,axiom, % 166.52/166.31 ! [V_xss_2,T_b] : % 166.52/166.31 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2) % 166.52/166.31 <=> ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 166.52/166.31 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_concat__eq__Nil__conv,axiom, % 166.52/166.31 ! [V_xss_2,T_b] : % 166.52/166.31 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b) % 166.52/166.31 <=> ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 166.52/166.31 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__concat,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__concat,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__concat,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sort__key__simps_I2_J,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_concat__append,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sort__foldl__insort,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_concat__eq__concat__iff,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( ! [B_x] : % 166.52/166.31 ( 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)))) % 166.52/166.31 => 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)) ) % 166.52/166.31 => ( 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) % 166.52/166.31 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 166.52/166.31 <=> V_xs_2 = V_ys_2 ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_concat__injective,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 166.52/166.31 => ( 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) % 166.52/166.31 => ( ! [B_x] : % 166.52/166.31 ( 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)))) % 166.52/166.31 => 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)) ) % 166.52/166.31 => V_xs_2 = V_ys_2 ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_concat__map__singleton,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_n__lists_Osimps_I2_J,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose_Osimps_I3_J,axiom, % 166.52/166.31 ! [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))))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose__aux__filter__head,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter__concat,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter__sort,axiom, % 166.52/166.31 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__filter,axiom, % 166.52/166.31 ! [V_Pa_2,V_xs_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter__is__subset,axiom, % 166.52/166.31 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter__id__conv,axiom, % 166.52/166.31 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.31 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2 % 166.52/166.31 <=> ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__filter__le,axiom, % 166.52/166.31 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sum__length__filter__compl,axiom, % 166.52/166.31 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ). % 166.52/166.31 % 166.52/166.31 fof(fact_partition__filter2,axiom, % 166.52/166.31 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_Pa_2)),V_xs_2) ). % 166.52/166.31 % 166.52/166.31 fof(fact_partition__filter1,axiom, % 166.52/166.31 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter__filter,axiom, % 166.52/166.31 ! [V_xs_2,V_Qa_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Ofilter(T_b,V_Qa_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_Qa_2)),V_Pa_2)),V_xs_2) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remove1__filter__not,axiom, % 166.52/166.31 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 166.52/166.31 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.31 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter__remove1,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,V_Qa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Qa_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_Qa_2),V_xs_2)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter__insort__triv,axiom, % 166.52/166.31 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.31 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter__map,axiom, % 166.52/166.31 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose_Osimps_I1_J,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter_Osimps_I1_J,axiom, % 166.52/166.31 ! [V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter_Osimps_I2_J,axiom, % 166.52/166.31 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 166.52/166.31 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.31 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) % 166.52/166.31 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.31 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter__append,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter__empty__conv,axiom, % 166.52/166.31 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.31 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b) % 166.52/166.31 <=> ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_removeAll__filter__not,axiom, % 166.52/166.31 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 166.52/166.31 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.31 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_remdups__filter,axiom, % 166.52/166.31 ! [V_xs_2,V_Pa_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oremdups(T_b,V_xs_2)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_removeAll__filter__not__eq,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose_Osimps_I2_J,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__transpose,axiom, % 166.52/166.31 ! [V_xs_2,T_b,V_i_2] : % 166.52/166.31 ( 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)))) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose__map__map,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__filter,axiom, % 166.52/166.31 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_Pa_2)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__filter__map,axiom, % 166.52/166.31 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__filter__less,axiom, % 166.52/166.31 ! [V_Pa_2,V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_partition__filter__conv,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__minus__filter__out,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter__in__sublist,axiom, % 166.52/166.31 ! [V_s_2,V_xs_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose__empty,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b)) % 166.52/166.31 <=> ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 166.52/166.31 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__filter__conv__card,axiom, % 166.52/166.31 ! [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))))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose__aux__filter__tail,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose_Opsimps_I3_J,axiom, % 166.52/166.31 ! [V_xss_2,V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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))))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose_Opsimps_I2_J,axiom, % 166.52/166.31 ! [V_xss_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sublist__shift__lemma__Suc,axiom, % 166.52/166.31 ! [V_is_2,V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_select__weigth__drop__zero,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_pick__drop__zero,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose_Opsimps_I1_J,axiom, % 166.52/166.31 ! [T_b] : % 166.52/166.31 ( 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)))) % 166.52/166.31 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose__max__length,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose__aux__max,axiom, % 166.52/166.31 ! [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)))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldr_Osimps_I1_J,axiom, % 166.52/166.31 ! [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 ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldr_Osimps_I2_J,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldr__append,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldr__conv__foldl,axiom, % 166.52/166.31 ! [V_a_2,V_xs_2,T_b] : % 166.52/166.31 ( class_Groups_Oab__semigroup__add(T_b) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldr__map,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldl__foldr1,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( class_Groups_Omonoid__add(T_b) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_foldl__foldr1__lemma,axiom, % 166.52/166.31 ! [V_xs_2,V_a_2,T_b] : % 166.52/166.31 ( class_Groups_Omonoid__add(T_b) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__transpose,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sublist__def,axiom, % 166.52/166.31 ! [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))))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sublist__shift__lemma,axiom, % 166.52/166.31 ! [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))))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_atLeastLessThan__upt,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__upt,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upt__Suc,axiom, % 166.52/166.31 ! [V_j,V_i] : % 166.52/166.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.52/166.31 => 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))) ) % 166.52/166.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.52/166.31 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upt__Suc__append,axiom, % 166.52/166.31 ! [V_j,V_i] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upt__add__eq__append,axiom, % 166.52/166.31 ! [V_k,V_j,V_i] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upt__rec,axiom, % 166.52/166.31 ! [V_j,V_i] : % 166.52/166.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.52/166.31 => 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)) ) % 166.52/166.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.52/166.31 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upt__conv__Cons,axiom, % 166.52/166.31 ! [V_j,V_i] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upt__eq__Nil__conv,axiom, % 166.52/166.31 ! [V_j_2,V_i_2] : % 166.52/166.31 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 166.52/166.31 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upt__conv__Nil,axiom, % 166.52/166.31 ! [V_i,V_j] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 166.52/166.31 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upt__0,axiom, % 166.52/166.31 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 166.52/166.31 % 166.52/166.31 fof(fact_take__upt,axiom, % 166.52/166.31 ! [V_n,V_m,V_i] : % 166.52/166.31 ( 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)) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__list__of__set__range,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_hd__upt,axiom, % 166.52/166.31 ! [V_j,V_i] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.52/166.31 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_drop__upt,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__upt,axiom, % 166.52/166.31 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_length__upt,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upt__rec__number__of,axiom, % 166.52/166.31 ! [V_n,V_m] : % 166.52/166.31 ( ( 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))) % 166.52/166.31 => 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))) ) % 166.52/166.31 & ( ~ 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))) % 166.52/166.31 => 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) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_upt__eq__Cons__conv,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 166.52/166.31 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 166.52/166.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 166.52/166.31 & V_i_2 = V_x_2 % 166.52/166.31 & 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 ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_last__upt,axiom, % 166.52/166.31 ! [V_j,V_i] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__Suc__upt,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_atLeastAtMost__upt,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_atLeast__upt,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__upt,axiom, % 166.52/166.31 ! [V_j,V_k,V_i] : % 166.52/166.31 ( 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)) % 166.52/166.31 => 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) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_greaterThanAtMost__upt,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_greaterThanLessThan__upt,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_atMost__upto,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__nth,axiom, % 166.52/166.31 ! [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 ). % 166.52/166.31 % 166.52/166.31 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 166.52/166.31 ! [V_n_2,V_m_2,V_f_2,T_b] : % 166.52/166.31 ( class_Groups_Ocomm__monoid__add(T_b) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 166.52/166.31 ! [V_n_2,V_m_2,V_f_2,T_b] : % 166.52/166.31 ( class_Groups_Ocomm__monoid__add(T_b) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__map__upt,axiom, % 166.52/166.31 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose__rectangle,axiom, % 166.52/166.31 ! [V_n_2,T_b,V_xs_2] : % 166.52/166.31 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 166.52/166.31 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 166.52/166.31 => ( ! [B_i] : % 166.52/166.31 ( 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))) % 166.52/166.31 => 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 ) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_insort__key__remove1,axiom, % 166.52/166.31 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 166.52/166.31 => ( 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 % 166.52/166.31 => 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 ) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted_ONil,axiom, % 166.52/166.31 ! [T_a] : % 166.52/166.31 ( class_Orderings_Olinorder(T_a) % 166.52/166.31 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__single,axiom, % 166.52/166.31 ! [V_x,T_a] : % 166.52/166.31 ( class_Orderings_Olinorder(T_a) % 166.52/166.31 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__upt,axiom, % 166.52/166.31 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__sort,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__insort__insert,axiom, % 166.52/166.31 ! [V_x_2,V_xs_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.52/166.31 => 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)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__drop,axiom, % 166.52/166.31 ! [V_n,V_xs,T_a] : % 166.52/166.31 ( class_Orderings_Olinorder(T_a) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 166.52/166.31 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__upto,axiom, % 166.52/166.31 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__take,axiom, % 166.52/166.31 ! [V_n,V_xs,T_a] : % 166.52/166.31 ( class_Orderings_Olinorder(T_a) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 166.52/166.31 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__remove1,axiom, % 166.52/166.31 ! [V_a,V_xs,T_a] : % 166.52/166.31 ( class_Orderings_Olinorder(T_a) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 166.52/166.31 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__tl,axiom, % 166.52/166.31 ! [V_xs,T_a] : % 166.52/166.31 ( class_Orderings_Olinorder(T_a) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 166.52/166.31 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__insort,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( 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)) % 166.52/166.31 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__butlast,axiom, % 166.52/166.31 ! [V_xs,T_a] : % 166.52/166.31 ( class_Orderings_Olinorder(T_a) % 166.52/166.31 => ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 166.52/166.31 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted_Oequations_I1_J,axiom, % 166.52/166.31 ! [T_a] : % 166.52/166.31 ( class_Orderings_Olinorder(T_a) % 166.52/166.31 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__many__eq,axiom, % 166.52/166.31 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( 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))) % 166.52/166.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 166.52/166.31 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__many,axiom, % 166.52/166.31 ! [V_zs,V_y,V_x,T_a] : % 166.52/166.31 ( class_Orderings_Olinorder(T_a) % 166.52/166.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 166.52/166.31 => 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))) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__remdups,axiom, % 166.52/166.31 ! [V_l,T_a] : % 166.52/166.31 ( class_Orderings_Olinorder(T_a) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 166.52/166.31 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__distinct__set__unique,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.52/166.31 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 166.52/166.31 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 166.52/166.31 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 166.52/166.31 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__sort__key,axiom, % 166.52/166.31 ! [V_xs_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__insort__insert__key,axiom, % 166.52/166.31 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 166.52/166.31 => 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))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__map__remove1,axiom, % 166.52/166.31 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 166.52/166.31 => 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))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__insort__key,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( 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))) % 166.52/166.31 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__filter,axiom, % 166.52/166.31 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 166.52/166.31 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__map__same,axiom, % 166.52/166.31 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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))) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__same,axiom, % 166.52/166.31 ! [V_xs_2,V_g_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__Cons,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 166.52/166.31 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.52/166.31 & ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__append,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 166.52/166.31 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.52/166.31 & c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 166.52/166.31 & ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => ! [B_xa] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2))) % 166.52/166.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_filter__insort,axiom, % 166.52/166.31 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 166.52/166.31 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.31 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted_Oequations_I2_J,axiom, % 166.52/166.31 ! [V_a1_2,V_a2_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2)) % 166.52/166.31 <=> ( ! [B_x] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2))) % 166.52/166.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) ) % 166.52/166.31 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__list__of__set,axiom, % 166.52/166.31 ! [V_A_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.31 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2 % 166.52/166.31 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) % 166.52/166.31 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_insort__remove1,axiom, % 166.52/166.31 ! [V_xs_2,V_a_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.52/166.31 => 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 ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__nth__mono,axiom, % 166.52/166.31 ! [V_j,V_i,V_xs,T_a] : % 166.52/166.31 ( class_Orderings_Olinorder(T_a) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 166.52/166.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.52/166.31 => ( 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))) % 166.52/166.31 => 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))) ) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_sorted__equals__nth__mono,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( class_Orderings_Olinorder(T_b) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.52/166.31 <=> ! [B_j] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ! [B_i] : % 166.52/166.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 166.52/166.31 => 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))) ) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_map__sorted__distinct__set__unique,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 166.52/166.31 ( class_Orderings_Olinorder(T_c) % 166.52/166.31 => ( 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))) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 166.52/166.31 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))) % 166.52/166.31 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)) % 166.52/166.31 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))) % 166.52/166.31 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 166.52/166.31 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_transpose__column,axiom, % 166.52/166.31 ! [V_i_2,V_xs_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ( 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))) % 166.52/166.31 => 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) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_nth__nth__transpose__sorted,axiom, % 166.52/166.31 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 166.52/166.31 ( 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))) % 166.52/166.31 => ( 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)))) % 166.52/166.31 => ( 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)))) % 166.52/166.31 => 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) ) ) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_inj__on__rev,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_distinct__rev,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2))) % 166.52/166.31 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rev_Osimps_I1_J,axiom, % 166.52/166.31 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 166.52/166.31 % 166.52/166.31 fof(fact_Nil__is__rev__conv,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2) % 166.52/166.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rev__is__Nil__conv,axiom, % 166.52/166.31 ! [V_xs_2,T_b] : % 166.52/166.31 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 166.52/166.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rev__singleton__conv,axiom, % 166.52/166.31 ! [V_x_2,V_xs_2,T_b] : % 166.52/166.31 ( 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)) % 166.52/166.31 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_singleton__rev__conv,axiom, % 166.52/166.31 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.31 ( 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) % 166.52/166.31 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rev__append,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rev__concat,axiom, % 166.52/166.31 ! [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))) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rev__map,axiom, % 166.52/166.31 ! [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)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rev__filter,axiom, % 166.52/166.31 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Orev(T_b),V_xs_2)) ). % 166.52/166.31 % 166.52/166.31 fof(fact_zip__rev,axiom, % 166.52/166.31 ! [V_ys,T_b,V_xs,T_a] : % 166.52/166.31 ( 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) % 166.52/166.31 => 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)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_set__rev,axiom, % 166.52/166.31 ! [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) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__rev1,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2) % 166.52/166.31 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_list__all2__rev,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 166.52/166.31 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2)) % 166.52/166.31 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rev__is__rev__conv,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2) % 166.52/166.31 <=> V_xs_2 = V_ys_2 ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rev__swap,axiom, % 166.52/166.31 ! [V_ys_2,V_xs_2,T_b] : % 166.52/166.31 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2 % 166.52/166.31 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ). % 166.52/166.31 % 166.52/166.31 fof(fact_rev__rev__ident,axiom, % 166.52/166.31 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 166.52/166.31 % 166.52/166.31 fof(fact_listsum__rev,axiom, % 166.52/166.32 ! [V_xs,T_a] : % 166.52/166.32 ( class_Groups_Ocomm__monoid__add(T_a) % 166.52/166.32 => 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) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_length__rev,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_foldl__foldr,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_foldr__foldl,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_rev_Osimps_I2_J,axiom, % 166.52/166.32 ! [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))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_rev__eq__Cons__iff,axiom, % 166.52/166.32 ! [V_ys_2,V_y_2,V_xs_2,T_b] : % 166.52/166.32 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 166.52/166.32 <=> 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))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_last__rev,axiom, % 166.52/166.32 ! [T_a,V_xs] : % 166.52/166.32 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.32 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_hd__rev,axiom, % 166.52/166.32 ! [T_a,V_xs] : % 166.52/166.32 ( V_xs != c_List_Olist_ONil(T_a) % 166.52/166.32 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sorted__transpose,axiom, % 166.52/166.32 ! [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)))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_rev__foldl__cons,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_rev__take,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_rev__drop,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_rotate__rev,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_rev__nth,axiom, % 166.52/166.32 ! [V_xs,T_a,V_n] : % 166.52/166.32 ( 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))) % 166.52/166.32 => 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))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_rev__update,axiom, % 166.52/166.32 ! [V_y,V_xs,T_a,V_k] : % 166.52/166.32 ( 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))) % 166.52/166.32 => 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) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sorted__rev__nth__mono,axiom, % 166.52/166.32 ! [V_j,V_i,V_xs,T_a] : % 166.52/166.32 ( class_Orderings_Olinorder(T_a) % 166.52/166.32 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 166.52/166.32 => ( 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))) % 166.52/166.32 => 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))) ) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_foldr__max__sorted,axiom, % 166.52/166.32 ! [V_y_2,V_xs_2,T_b] : % 166.52/166.32 ( class_Orderings_Olinorder(T_b) % 166.52/166.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2)) % 166.52/166.32 => ( ( V_xs_2 = c_List_Olist_ONil(T_b) % 166.52/166.32 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 ) % 166.52/166.32 & ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.52/166.32 => 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) ) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_length__transpose__sorted,axiom, % 166.52/166.32 ! [V_xs_2,T_b] : % 166.52/166.32 ( 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))) % 166.52/166.32 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 166.52/166.32 => 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) ) % 166.52/166.32 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b)) % 166.52/166.32 => 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))) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_transpose__column__length,axiom, % 166.52/166.32 ! [V_i_2,V_xs_2,T_b] : % 166.52/166.32 ( 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))) % 166.52/166.32 => ( 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))) % 166.52/166.32 => 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)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_transpose__transpose,axiom, % 166.52/166.32 ! [V_xs_2,T_b] : % 166.52/166.32 ( 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))) % 166.52/166.32 => 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) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 166.52/166.32 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sorted__takeWhile,axiom, % 166.52/166.32 ! [V_Pa_2,V_xs_2,T_b] : % 166.52/166.32 ( class_Orderings_Olinorder(T_b) % 166.52/166.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.52/166.32 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_length__takeWhile__le,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile__eq__all__conv,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2 % 166.52/166.32 <=> ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_set__takeWhileD,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,V_x_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_zip__takeWhile__snd,axiom, % 166.52/166.32 ! [V_ys_2,V_Pa_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_Pa_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_zip__takeWhile__fst,axiom, % 166.52/166.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile__map,axiom, % 166.52/166.32 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile__tail,axiom, % 166.52/166.32 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] : % 166.52/166.32 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile_Osimps_I2_J,axiom, % 166.52/166.32 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 166.52/166.32 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) % 166.52/166.32 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile_Osimps_I1_J,axiom, % 166.52/166.32 ! [V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile__eq__take,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ). % 166.52/166.32 % 166.52/166.32 fof(fact_distinct__takeWhile,axiom, % 166.52/166.32 ! [V_Pa_2,V_xs_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.32 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_return__list__def,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile__append1,axiom, % 166.52/166.32 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile__nth,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) % 166.52/166.32 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_nth__length__takeWhile,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 166.52/166.32 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile__not__last,axiom, % 166.52/166.32 ! [T_b,V_xs_2] : % 166.52/166.32 ( V_xs_2 != c_List_Olist_ONil(T_b) % 166.52/166.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.32 => 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) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 166.52/166.32 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( class_Orderings_Olinorder(T_b) % 166.52/166.32 => ( 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))) % 166.52/166.32 => 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) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_transfer__nat__int__list__return__embed,axiom, % 166.52/166.32 ! [V_l] : % 166.52/166.32 ( c_List_Onat__list(V_l) % 166.52/166.32 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 166.52/166.32 ! [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))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_embed__list__def,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile__neq__rev,axiom, % 166.52/166.32 ! [V_x_2,V_xs_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => 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))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_dropWhile__neq__rev,axiom, % 166.52/166.32 ! [V_x_2,V_xs_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => 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))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile__dropWhile__id,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) = V_xs_2 ). % 166.52/166.32 % 166.52/166.32 fof(fact_sorted__dropWhile,axiom, % 166.52/166.32 ! [V_Pa_2,V_xs_2,T_b] : % 166.52/166.32 ( class_Orderings_Olinorder(T_b) % 166.52/166.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.52/166.32 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_length__dropWhile__le,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_hd__dropWhile,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b) % 166.52/166.32 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_dropWhile__eq__Nil__conv,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b) % 166.52/166.32 <=> ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_dropWhile_Osimps_I2_J,axiom, % 166.52/166.32 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 166.52/166.32 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) ) % 166.52/166.32 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_dropWhile_Osimps_I1_J,axiom, % 166.52/166.32 ! [V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 166.52/166.32 % 166.52/166.32 fof(fact_distinct__dropWhile,axiom, % 166.52/166.32 ! [V_Pa_2,V_xs_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 166.52/166.32 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_dropWhile__map,axiom, % 166.52/166.32 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_dropWhile__append1,axiom, % 166.52/166.32 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_dropWhile__eq__Cons__conv,axiom, % 166.52/166.32 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 166.52/166.32 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) % 166.52/166.32 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_dropWhile__eq__drop,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ). % 166.52/166.32 % 166.52/166.32 fof(fact_dropWhile__nth,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) % 166.52/166.32 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_listsum__map__filter,axiom, % 166.52/166.32 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] : % 166.52/166.32 ( class_Groups_Omonoid__add(T_c) % 166.52/166.32 => ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => ( ~ hBOOL(hAPP(V_Pa_2,B_x)) % 166.52/166.32 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) % 166.52/166.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sorted__nth__monoI,axiom, % 166.52/166.32 ! [V_xs,T_a] : % 166.52/166.32 ( class_Orderings_Olinorder(T_a) % 166.52/166.32 => ( ! [B_i,B_j] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 166.52/166.32 => ( 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))) % 166.52/166.32 => 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))) ) ) % 166.52/166.32 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile__eq__filter,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) % 166.52/166.32 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.52/166.32 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile__eq__take__P__nth,axiom, % 166.52/166.32 ! [V_Pa_2,V_xs_2,T_b,V_n_2] : % 166.52/166.32 ( ! [B_i] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 166.52/166.32 => ( 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))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) % 166.52/166.32 => ( ( 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))) % 166.52/166.32 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) % 166.52/166.32 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_length__takeWhile__less__P__nth,axiom, % 166.52/166.32 ! [V_xs_2,T_b,V_Pa_2,V_j_2] : % 166.52/166.32 ( ! [B_i] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 166.52/166.32 => ( 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))) % 166.52/166.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sorted_Osimps,axiom, % 166.52/166.32 ! [V_a_2,T_b] : % 166.52/166.32 ( class_Orderings_Olinorder(T_b) % 166.52/166.32 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2) % 166.52/166.32 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 166.52/166.32 | ? [B_xs,B_x] : % 166.52/166.32 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 166.52/166.32 & ! [B_xa] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs))) % 166.52/166.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) % 166.52/166.32 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_not__in__set__insert,axiom, % 166.52/166.32 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => 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) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_List_Oinsert__def,axiom, % 166.52/166.32 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) % 166.52/166.32 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => 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) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_insert__remdups,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_distinct__insert,axiom, % 166.52/166.32 ! [V_x,V_xs,T_a] : % 166.52/166.32 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 166.52/166.32 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_in__set__insert,axiom, % 166.52/166.32 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_List_Oset__insert,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_insert__Nil,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_concat__map__maps,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_maps__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_maps__simps_I2_J,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_maps__simps_I1_J,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_distinct__concat,axiom, % 166.52/166.32 ! [V_xs_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2)) % 166.52/166.32 => ( ! [B_ys] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 166.52/166.32 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) ) % 166.52/166.32 => ( ! [B_ys] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 166.52/166.32 => ! [B_zs] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 166.52/166.32 => ( B_ys != B_zs % 166.52/166.32 => 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)) ) ) ) % 166.52/166.32 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_measures__lesseq,axiom, % 166.52/166.32 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 166.52/166.32 ( 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))) % 166.52/166.32 => ( 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))) % 166.52/166.32 => 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)))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_wf__measures,axiom, % 166.52/166.32 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_in__measures_I1_J,axiom, % 166.52/166.32 ! [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))))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_measures__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_in__measures_I2_J,axiom, % 166.52/166.32 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] : % 166.52/166.32 ( 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)))) % 166.52/166.32 <=> ( 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))) % 166.52/166.32 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 166.52/166.32 & 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))) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_measures__less,axiom, % 166.52/166.32 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 166.52/166.32 ( 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))) % 166.52/166.32 => 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)))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_foldl__apply,axiom, % 166.52/166.32 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] : % 166.52/166.32 ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => 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)) ) % 166.52/166.32 => 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)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_order__fun_I2_J,axiom, % 166.52/166.32 ! [V_g_2,V_f_2,T_b,T_c] : % 166.52/166.32 ( ( class_Orderings_Oorder(T_c) % 166.52/166.32 & class_Enum_Oenum(T_b) ) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 166.52/166.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 166.52/166.32 & 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)))) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_enum__ex__prod__def,axiom, % 166.52/166.32 ! [V_Pa_2,T_b,T_c] : % 166.52/166.32 ( ( class_Enum_Oenum(T_c) % 166.52/166.32 & class_Enum_Oenum(T_b) ) % 166.52/166.32 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2)) % 166.52/166.32 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_exists__code,axiom, % 166.52/166.32 ! [V_Pa_2,T_b] : % 166.52/166.32 ( class_Enum_Oenum(T_b) % 166.52/166.32 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 166.52/166.32 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_enum__ex,axiom, % 166.52/166.32 ! [V_Pa_2,T_b] : % 166.52/166.32 ( class_Enum_Oenum(T_b) % 166.52/166.32 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) % 166.52/166.32 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_zip__obtain__same__length,axiom, % 166.52/166.32 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 166.52/166.32 ( ( 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)) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) ) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_pos__not__random__dseq__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_dropWhile__append2,axiom, % 166.52/166.32 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 166.52/166.32 ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.52/166.32 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_ys_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__all2__all__nthI,axiom, % 166.52/166.32 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] : % 166.52/166.32 ( 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) % 166.52/166.32 => ( ! [B_n] : % 166.52/166.32 ( 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))) % 166.52/166.32 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) ) % 166.52/166.32 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_finite__sorted__distinct__unique,axiom, % 166.52/166.32 ! [V_A_2,T_b] : % 166.52/166.32 ( class_Orderings_Olinorder(T_b) % 166.52/166.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.32 => ? [B_x] : % 166.52/166.32 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2 % 166.52/166.32 & c_List_Olinorder__class_Osorted(T_b,B_x) % 166.52/166.32 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x)) % 166.52/166.32 & ! [B_y] : % 166.52/166.32 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2 % 166.52/166.32 & c_List_Olinorder__class_Osorted(T_b,B_y) % 166.52/166.32 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) ) % 166.52/166.32 => B_y = B_x ) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_takeWhile__append2,axiom, % 166.52/166.32 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 166.52/166.32 ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.52/166.32 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_Pa_2,V_ys_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_insort__is__Cons,axiom, % 166.52/166.32 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] : % 166.52/166.32 ( class_Orderings_Olinorder(T_c) % 166.52/166.32 => ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) ) % 166.52/166.32 => 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) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_filter__eq__Cons__iff,axiom, % 166.52/166.32 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] : % 166.52/166.32 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) % 166.52/166.32 <=> ? [B_us,B_vs] : % 166.52/166.32 ( 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)) % 166.52/166.32 & ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 166.52/166.32 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Cons__eq__filter__iff,axiom, % 166.52/166.32 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 166.52/166.32 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) % 166.52/166.32 <=> ? [B_us,B_vs] : % 166.52/166.32 ( 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)) % 166.52/166.32 & ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 166.52/166.32 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_order__fun_I1_J,axiom, % 166.52/166.32 ! [V_g_2,V_f_2,T_b,T_c] : % 166.52/166.32 ( ( class_Orderings_Oorder(T_c) % 166.52/166.32 & class_Enum_Oenum(T_b) ) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 166.52/166.32 <=> 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))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_enum__all,axiom, % 166.52/166.32 ! [V_Pa_2,T_b] : % 166.52/166.32 ( class_Enum_Oenum(T_b) % 166.52/166.32 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) % 166.52/166.32 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_all__code,axiom, % 166.52/166.32 ! [V_Pa_2,T_b] : % 166.52/166.32 ( class_Enum_Oenum(T_b) % 166.52/166.32 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 166.52/166.32 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_enum__all__prod__def,axiom, % 166.52/166.32 ! [V_Pa_2,T_b,T_c] : % 166.52/166.32 ( ( class_Enum_Oenum(T_c) % 166.52/166.32 & class_Enum_Oenum(T_b) ) % 166.52/166.32 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2)) % 166.52/166.32 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__ball__nth,axiom, % 166.52/166.32 ! [V_Pa_2,V_xs_2,T_b,V_n_2] : % 166.52/166.32 ( 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))) % 166.52/166.32 => ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sorted_OCons,axiom, % 166.52/166.32 ! [V_x_2,V_xs_2,T_b] : % 166.52/166.32 ( class_Orderings_Olinorder(T_b) % 166.52/166.32 => ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) % 166.52/166.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 166.52/166.32 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__ex__length,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 166.52/166.32 <=> ? [B_n] : % 166.52/166.32 ( 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))) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_in__set__conv__decomp__first,axiom, % 166.52/166.32 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 <=> ? [B_ys] : % 166.52/166.32 ( ? [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)) % 166.52/166.32 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__ex__simps_I2_J,axiom, % 166.52/166.32 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__ex__append,axiom, % 166.52/166.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 166.52/166.32 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 166.52/166.32 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__ex__iff,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 166.52/166.32 <=> ? [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__ex__rev,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 166.52/166.32 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__ex__simps_I1_J,axiom, % 166.52/166.32 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 166.52/166.32 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_in__set__conv__decomp,axiom, % 166.52/166.32 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 <=> ? [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)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_in__set__conv__decomp__last,axiom, % 166.52/166.32 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 <=> ? [B_ys,B_zs] : % 166.52/166.32 ( 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)) % 166.52/166.32 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__all__length,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 166.52/166.32 <=> ! [B_n] : % 166.52/166.32 ( 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))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_finite__induct,axiom, % 166.52/166.32 ! [V_Pa_2,V_F_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 166.52/166.32 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 166.52/166.32 => ( ! [B_x,B_F] : % 166.52/166.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 166.52/166.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F)) % 166.52/166.32 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) ) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__all__simps_I2_J,axiom, % 166.52/166.32 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__all__append,axiom, % 166.52/166.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 166.52/166.32 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 166.52/166.32 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__all__iff,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 166.52/166.32 <=> ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__all__rev,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 166.52/166.32 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__all__simps_I1_J,axiom, % 166.52/166.32 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 166.52/166.32 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Ball__set__list__all,axiom, % 166.52/166.32 ! [V_Pa_2,V_xs_2,T_b] : % 166.52/166.32 ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.52/166.32 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__all__iff__raw,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 166.52/166.32 <=> ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__ex1__simps_I2_J,axiom, % 166.52/166.32 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 166.52/166.32 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))),hAPP(c_fequal,V_x_2)),V_xs_2) ) % 166.52/166.32 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_measure__function__int,axiom, % 166.52/166.32 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))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_measure__snd,axiom, % 166.52/166.32 ! [T_c,V_f_2,T_b] : % 166.52/166.32 ( c_FunDef_Ois__measure(T_b,V_f_2) % 166.52/166.32 => 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))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_measure__fst,axiom, % 166.52/166.32 ! [T_c,V_f_2,T_b] : % 166.52/166.32 ( c_FunDef_Ois__measure(T_b,V_f_2) % 166.52/166.32 => 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))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_is__measure_Osimps,axiom, % 166.52/166.32 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 166.52/166.32 % 166.52/166.32 fof(fact_is__measure_Oequations,axiom, % 166.52/166.32 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 166.52/166.32 % 166.52/166.32 fof(fact_is__measure_Ointros,axiom, % 166.52/166.32 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ). % 166.52/166.32 % 166.52/166.32 fof(fact_measure__size,axiom, % 166.52/166.32 ! [T_b] : % 166.52/166.32 ( class_Nat_Osize(T_b) % 166.52/166.32 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__ex1__simps_I1_J,axiom, % 166.52/166.32 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__ex1__iff,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 166.52/166.32 <=> ? [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,B_x)) % 166.52/166.32 & ! [B_y] : % 166.52/166.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 166.52/166.32 => B_y = B_x ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_transfer__morphism__int__nat,axiom, % 166.52/166.32 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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 166.52/166.32 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 166.52/166.32 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.52/166.32 => 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) ) % 166.52/166.32 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.52/166.32 => 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)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_bool_Osize_I4_J,axiom, % 166.52/166.32 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(fact_bool_Osize_I3_J,axiom, % 166.52/166.32 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_neg__bind__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 166.52/166.32 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 166.52/166.32 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.52/166.32 => 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) ) % 166.52/166.32 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 166.52/166.32 => 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)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_New__DSequence_Opos__empty__def,axiom, % 166.52/166.32 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 166.52/166.32 % 166.52/166.32 fof(fact_pos__empty__def,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_New__DSequence_Opos__bind__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_pos__bind__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_neg__map__def,axiom, % 166.52/166.32 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_neg__single__def,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_pos__map__def,axiom, % 166.52/166.32 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_New__DSequence_Oneg__single__def,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_pos__single__def,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_New__DSequence_Opos__single__def,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_length__splice,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_splice_Osimps_I1_J,axiom, % 166.52/166.32 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ). % 166.52/166.32 % 166.52/166.32 fof(fact_splice__Nil2,axiom, % 166.52/166.32 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ). % 166.52/166.32 % 166.52/166.32 fof(fact_splice_Osimps_I3_J,axiom, % 166.52/166.32 ! [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))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_splice_Osimps_I2_J,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_,axiom, % 166.52/166.32 ! [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)))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_acyclicP__converse,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( 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)))) % 166.52/166.32 <=> 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))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_converse__join,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_conversepD,axiom, % 166.52/166.32 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 166.52/166.32 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_conversep_Ointros,axiom, % 166.52/166.32 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 166.52/166.32 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_conversep_Oequations,axiom, % 166.52/166.32 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2)) % 166.52/166.32 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_conversep__iff,axiom, % 166.52/166.32 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 166.52/166.32 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_conversep__conversep,axiom, % 166.52/166.32 ! [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 ). % 166.52/166.32 % 166.52/166.32 fof(fact_conversep__eq,axiom, % 166.52/166.32 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ). % 166.52/166.32 % 166.52/166.32 fof(fact_conversep__noteq,axiom, % 166.52/166.32 ! [V_y_2,V_x_2,T_b] : % 166.52/166.32 ( 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)) % 166.52/166.32 <=> V_x_2 != V_y_2 ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_converse__pred__comp,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_converse__meet,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_conversep__converse__eq,axiom, % 166.52/166.32 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] : % 166.52/166.32 ( 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)) % 166.52/166.32 <=> 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))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_small__lazy__list_Osimps,axiom, % 166.52/166.32 ! [V_d_2,T_b] : % 166.52/166.32 ( class_Lazy__Sequence_Osmall__lazy(T_b) % 166.52/166.32 => 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)))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_tl__replicate,axiom, % 166.52/166.32 ! [V_x,T_a,V_n] : % 166.52/166.32 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.32 => 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) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_small__lazy__prod__def,axiom, % 166.52/166.32 ! [V_d,T_b,T_a] : % 166.52/166.32 ( ( class_Lazy__Sequence_Osmall__lazy(T_a) % 166.52/166.32 & class_Lazy__Sequence_Osmall__lazy(T_b) ) % 166.52/166.32 => 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)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_map__replicate__const,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_length__replicate,axiom, % 166.52/166.32 ! [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 ). % 166.52/166.32 % 166.52/166.32 fof(fact_replicate__length__filter,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_map__replicate,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_replicate__0,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_empty__replicate,axiom, % 166.52/166.32 ! [V_x_2,V_n_2,T_b] : % 166.52/166.32 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2) % 166.52/166.32 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_replicate__empty,axiom, % 166.52/166.32 ! [V_x_2,V_n_2,T_b] : % 166.52/166.32 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b) % 166.52/166.32 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_concat__replicate__trivial,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_filter__replicate,axiom, % 166.52/166.32 ! [V_n_2,T_b,V_x_2,V_Pa_2] : % 166.52/166.32 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,V_x_2) ) % 166.52/166.32 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 166.52/166.32 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_replicate__add,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_append__replicate__commute,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_nth__replicate,axiom, % 166.52/166.32 ! [V_x,T_a,V_n,V_i] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 166.52/166.32 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_replicate__eq__replicate,axiom, % 166.52/166.32 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] : % 166.52/166.32 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2) % 166.52/166.32 <=> ( V_m_2 = V_n_2 % 166.52/166.32 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.32 => V_x_2 = V_y_2 ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Bex__set__replicate,axiom, % 166.52/166.32 ! [V_Pa_2,V_a_2,V_n_2,T_b] : % 166.52/166.32 ( ? [B_x] : % 166.52/166.32 ( 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)))) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.52/166.32 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 166.52/166.32 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Ball__set__replicate,axiom, % 166.52/166.32 ! [V_Pa_2,V_a_2,V_n_2,T_b] : % 166.52/166.32 ( ! [B_x] : % 166.52/166.32 ( 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)))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.52/166.32 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 166.52/166.32 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_zip__replicate,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_last__replicate,axiom, % 166.52/166.32 ! [V_x,T_a,V_n] : % 166.52/166.32 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.32 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_take__replicate,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_hd__replicate,axiom, % 166.52/166.32 ! [V_x,T_a,V_n] : % 166.52/166.32 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.32 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_drop__replicate,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_rev__replicate,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_replicate__Suc,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_replicate__app__Cons__same,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_in__set__replicate,axiom, % 166.52/166.32 ! [V_y_2,V_n_2,V_x_2,T_b] : % 166.52/166.32 ( 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)))) % 166.52/166.32 <=> ( V_x_2 = V_y_2 % 166.52/166.32 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_replicate__append__same,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_map__replicate__trivial,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_set__replicate,axiom, % 166.52/166.32 ! [V_x_2,T_b,V_n_2] : % 166.52/166.32 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.32 => 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))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_set__replicate__conv__if,axiom, % 166.52/166.32 ! [V_x_2,T_b,V_n_2] : % 166.52/166.32 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.32 => 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)) ) % 166.52/166.32 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 166.52/166.32 => 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))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_set__replicate__Suc,axiom, % 166.52/166.32 ! [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))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_New__DSequence_Opos__union__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_eq__comp__r,axiom, % 166.52/166.32 ! [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 ). % 166.52/166.32 % 166.52/166.32 fof(fact_pos__union__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_small__lazy_H_Osimps,axiom, % 166.52/166.32 ! [V_i,V_d] : % 166.52/166.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 166.52/166.32 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 166.52/166.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 166.52/166.32 => 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)))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_small__lazy__int__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_small__lazy_H_Opsimps,axiom, % 166.52/166.32 ! [V_i_2,V_d_2] : % 166.52/166.32 ( 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))) % 166.52/166.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 166.52/166.32 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 166.52/166.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 166.52/166.32 => 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)))) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_field__le__epsilon,axiom, % 166.52/166.32 ! [V_y,V_x,T_a] : % 166.52/166.32 ( class_Fields_Olinordered__field(T_a) % 166.52/166.32 => ( ! [B_e] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e)) % 166.52/166.32 => 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))) ) % 166.52/166.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_small__lazy_H_Opinduct,axiom, % 166.52/166.32 ! [V_Pa_2,V_a1_2,V_a0_2] : % 166.52/166.32 ( 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))) % 166.52/166.32 => ( ! [B_d,B_i] : % 166.52/166.32 ( 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))) % 166.52/166.32 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i)) % 166.52/166.32 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) % 166.52/166.32 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) ) % 166.52/166.32 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_lazy__sequence_Osize_I4_J,axiom, % 166.52/166.32 ! [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))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_lazy__sequence_Oinject,axiom, % 166.52/166.32 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] : % 166.52/166.32 ( 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) % 166.52/166.32 <=> ( V_a_2 = V_a_H_2 % 166.52/166.32 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact__01,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_lazy__sequence_Osize_I2_J,axiom, % 166.52/166.32 ! [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))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_size__code,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_lazy__sequence__size__code,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_seq__case,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_yieldn__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_lazy__sequence_Osimps_I5_J,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_refl__on__INTER,axiom, % 166.52/166.32 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 166.52/166.32 ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 166.52/166.32 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 166.52/166.32 => 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)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_List_Omember__def,axiom, % 166.52/166.32 ! [V_x_2,V_xs_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) % 166.52/166.32 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_member__rec_I1_J,axiom, % 166.52/166.32 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 166.52/166.32 ( 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)) % 166.52/166.32 <=> ( V_x_2 = V_y_2 % 166.52/166.32 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_member__set,axiom, % 166.52/166.32 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ). % 166.52/166.32 % 166.52/166.32 fof(fact_member__rec_I2_J,axiom, % 166.52/166.32 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_in__set__member,axiom, % 166.52/166.32 ! [V_xs_2,V_x_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_pair__box_Osize_I1_J,axiom, % 166.52/166.32 ! [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))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__ex1__iff__raw,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 166.52/166.32 <=> ? [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,B_x)) % 166.52/166.32 & ! [B_y] : % 166.52/166.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 166.52/166.32 => B_y = B_x ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_pair__box_Oinject,axiom, % 166.52/166.32 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 166.52/166.32 ( 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) % 166.52/166.32 <=> ( V_a_2 = V_a_H_2 % 166.52/166.32 & V_b_2 = V_b_H_2 ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_pair__box_Osize_I2_J,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_pair__box_Orecs,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_pair__box_Osimps_I2_J,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_THE__default__def,axiom, % 166.52/166.32 ! [V_d_2,T_b,V_Pa_2] : % 166.52/166.32 ( ( ? [B_x] : % 166.52/166.32 ( hBOOL(hAPP(V_Pa_2,B_x)) % 166.52/166.32 & ! [B_y] : % 166.52/166.32 ( hBOOL(hAPP(V_Pa_2,B_y)) % 166.52/166.32 => B_y = B_x ) ) % 166.52/166.32 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ) % 166.52/166.32 & ( ~ ? [B_x] : % 166.52/166.32 ( hBOOL(hAPP(V_Pa_2,B_x)) % 166.52/166.32 & ! [B_y] : % 166.52/166.32 ( hBOOL(hAPP(V_Pa_2,B_y)) % 166.52/166.32 => B_y = B_x ) ) % 166.52/166.32 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_setsum__UNION__zero,axiom, % 166.52/166.32 ! [V_f_2,V_S_2,T_b,T_c] : % 166.52/166.32 ( class_Groups_Ocomm__monoid__add(T_c) % 166.52/166.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2)) % 166.52/166.32 => ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2)) % 166.52/166.32 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 166.52/166.32 => ( ! [B_T1] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2)) % 166.52/166.32 => ! [B_T2] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2)) % 166.52/166.32 => ( B_T1 != B_T2 % 166.52/166.32 => ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1)) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2)) % 166.52/166.32 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) % 166.52/166.32 => 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) ) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_SUP2__E,axiom, % 166.52/166.32 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 166.52/166.32 ( 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)) % 166.52/166.32 => ~ ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.32 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_INF2__I,axiom, % 166.52/166.32 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] : % 166.52/166.32 ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.32 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) % 166.52/166.32 => 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)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_finite__maxlen,axiom, % 166.52/166.32 ! [V_M_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2)) % 166.52/166.32 => ? [B_n] : % 166.52/166.32 ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2)) % 166.52/166.32 => 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)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_lazy__sequence_Osize_I1_J,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact__02,axiom, % 166.52/166.32 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ). % 166.52/166.32 % 166.52/166.32 fof(fact_lazy__sequence_Osimps_I3_J,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_lazy__sequence_Osimps_I2_J,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_lazy__sequence_Osimps_I4_J,axiom, % 166.52/166.32 ! [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 ). % 166.52/166.32 % 166.52/166.32 fof(fact_lazy__sequence_Osize_I3_J,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__all__iff__all__interval__int,axiom, % 166.52/166.32 ! [V_j_2,V_i_2,V_Pa_2] : % 166.52/166.32 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 166.52/166.32 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__ex__iff__not__all__inverval__int,axiom, % 166.52/166.32 ! [V_j_2,V_i_2,V_Pa_2] : % 166.52/166.32 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 166.52/166.32 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_all__interval__int__def,axiom, % 166.52/166.32 ! [V_j_2,V_i_2,V_Pa_2] : % 166.52/166.32 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) % 166.52/166.32 <=> ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_code__numeral_Orecs_I2_J,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Random_Osimps,axiom, % 166.52/166.32 ! [V_size_2,V_g_2,T_b,V_nrandom_2] : % 166.52/166.32 ( ( 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))) % 166.52/166.32 => 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)) ) % 166.52/166.32 & ( ~ 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))) % 166.52/166.32 => 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))))))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_code__numeral_Orecs_I1_J,axiom, % 166.52/166.32 ! [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 ). % 166.52/166.32 % 166.52/166.32 fof(fact_Random__Sequence_Oempty__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Random__Sequence_Osingle__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Random__Sequence_Omap__def,axiom, % 166.52/166.32 ! [V_Pa_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_Pa_2) = c_Random__Sequence_Obind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_exE__realizer,axiom, % 166.52/166.32 ! [T_d,V_f_2,V_Qa_2,V_p_2,T_b,T_c,V_Pa_2] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2))) % 166.52/166.32 => ( ! [B_x,B_y] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x)) % 166.52/166.32 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(V_f_2,B_x),B_y))) ) % 166.52/166.32 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Image__Collect__split,axiom, % 166.52/166.32 ! [V_A_2,V_Pa_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2)))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_lexord__trans,axiom, % 166.52/166.32 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 166.52/166.32 ( 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))) % 166.52/166.32 => ( 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))) % 166.52/166.32 => ( c_Relation_Otrans(T_b,V_r_2) % 166.52/166.32 => 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))) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__less__than,axiom, % 166.52/166.32 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__lex__prod,axiom, % 166.52/166.32 ! [V_R2_2,T_c,V_R1_2,T_b] : % 166.52/166.32 ( c_Relation_Otrans(T_b,V_R1_2) % 166.52/166.32 => ( c_Relation_Otrans(T_c,V_R2_2) % 166.52/166.32 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_transD,axiom, % 166.52/166.32 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Otrans(T_b,V_r_2) % 166.52/166.32 => ( 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)) % 166.52/166.32 => ( 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)) % 166.52/166.32 => 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)) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__def,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Otrans(T_b,V_r_2) % 166.52/166.32 <=> ! [B_x,B_y] : % 166.52/166.32 ( 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)) % 166.52/166.32 => ! [B_z] : % 166.52/166.32 ( 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)) % 166.52/166.32 => 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)) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__reflclI,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Otrans(T_b,V_r_2) % 166.52/166.32 => 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))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__rtrancl,axiom, % 166.52/166.32 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__finite__psubset,axiom, % 166.52/166.32 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__Id,axiom, % 166.52/166.32 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__Id__on,axiom, % 166.52/166.32 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__trancl,axiom, % 166.52/166.32 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trancl__id,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Otrans(T_b,V_r_2) % 166.52/166.32 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_lexord__transI,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Otrans(T_b,V_r_2) % 166.52/166.32 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_bex__empty,axiom, % 166.52/166.32 ! [V_Pa_2,T_b] : % 166.52/166.32 ~ ? [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_listrel__trans,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Otrans(T_b,V_r_2) % 166.52/166.32 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__converse,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.52/166.32 <=> c_Relation_Otrans(T_b,V_r_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_finite__Collect__bex,axiom, % 166.52/166.32 ! [V_Qa_2,T_c,V_A_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 166.52/166.32 => ( 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_Qa_2))))) % 166.52/166.32 <=> ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 166.52/166.32 => 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_Qa_2),B_x)))) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_bex__UNIV,axiom, % 166.52/166.32 ! [V_Pa_2,T_b] : % 166.52/166.32 ( ? [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.52/166.32 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__Int,axiom, % 166.52/166.32 ! [V_s_2,V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Otrans(T_b,V_r_2) % 166.52/166.32 => ( c_Relation_Otrans(T_b,V_s_2) % 166.52/166.32 => 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)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__O__subset,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Otrans(T_b,V_r_2) % 166.52/166.32 => 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)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_SUPR__bool__eq,axiom, % 166.52/166.32 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Union__eq,axiom, % 166.52/166.32 ! [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)))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__inv__image,axiom, % 166.52/166.32 ! [V_f_2,T_c,V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Otrans(T_b,V_r_2) % 166.52/166.32 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_UN__eq,axiom, % 166.52/166.32 ! [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))))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Bex__set__list__ex,axiom, % 166.52/166.32 ! [V_Pa_2,V_xs_2,T_b] : % 166.52/166.32 ( ? [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 166.52/166.32 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_list__ex__iff__raw,axiom, % 166.52/166.32 ! [V_xs_2,V_Pa_2,T_b] : % 166.52/166.32 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 166.52/166.32 <=> ? [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 166.52/166.32 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_INT__eq,axiom, % 166.52/166.32 ! [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))))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Sup__fun__def,axiom, % 166.52/166.32 ! [V_x_2,V_A_2,T_c,T_b] : % 166.52/166.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.32 => 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)))))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Sup__apply,axiom, % 166.52/166.32 ! [V_x_2,V_A_2,T_c,T_b] : % 166.52/166.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.32 => 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)))))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Inf__fun__def,axiom, % 166.52/166.32 ! [V_x_2,V_A_2,T_c,T_b] : % 166.52/166.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.32 => 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)))))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_Inf__apply,axiom, % 166.52/166.32 ! [V_x_2,V_A_2,T_c,T_b] : % 166.52/166.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 166.52/166.32 => 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)))))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_max__extp_Ointros,axiom, % 166.52/166.32 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 166.52/166.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 166.52/166.32 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.32 => ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 166.52/166.32 => ? [B_xa] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 166.52/166.32 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) % 166.52/166.32 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_transp__def,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Predicate_Otransp(T_b,V_r_2) % 166.52/166.32 <=> 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))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_transpE,axiom, % 166.52/166.32 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 166.52/166.32 ( c_Predicate_Otransp(T_b,V_r_2) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2)) % 166.52/166.32 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_equivpE,axiom, % 166.52/166.32 ! [V_R_2,T_b] : % 166.52/166.32 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.52/166.32 => ~ ( c_Predicate_Oreflp(T_b,V_R_2) % 166.52/166.32 => ( c_Predicate_Osymp(T_b,V_R_2) % 166.52/166.32 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_equivpI,axiom, % 166.52/166.32 ! [V_R_2,T_b] : % 166.52/166.32 ( c_Predicate_Oreflp(T_b,V_R_2) % 166.52/166.32 => ( c_Predicate_Osymp(T_b,V_R_2) % 166.52/166.32 => ( c_Predicate_Otransp(T_b,V_R_2) % 166.52/166.32 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sympE,axiom, % 166.52/166.32 ! [V_y_2,V_x_2,V_r_2,T_b] : % 166.52/166.32 ( c_Predicate_Osymp(T_b,V_r_2) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 166.52/166.32 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_equivp__reflp__symp__transp,axiom, % 166.52/166.32 ! [V_R_2,T_b] : % 166.52/166.32 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.52/166.32 <=> ( c_Predicate_Oreflp(T_b,V_R_2) % 166.52/166.32 & c_Predicate_Osymp(T_b,V_R_2) % 166.52/166.32 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_max__extp_Osimps,axiom, % 166.52/166.32 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 166.52/166.32 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 166.52/166.32 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 166.52/166.32 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 166.52/166.32 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 166.52/166.32 & ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 166.52/166.32 => ? [B_xa] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 166.52/166.32 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_trans__diff__Id,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Otrans(T_b,V_r_2) % 166.52/166.32 => ( c_Relation_Oantisym(T_b,V_r_2) % 166.52/166.32 => 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))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_antisym__converse,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.52/166.32 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_antisym__empty,axiom, % 166.52/166.32 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_antisym__Id,axiom, % 166.52/166.32 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_antisym__Id__on,axiom, % 166.52/166.32 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_antisym__subset,axiom, % 166.52/166.32 ! [V_s_2,V_r_2,T_b] : % 166.52/166.32 ( 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)) % 166.52/166.32 => ( c_Relation_Oantisym(T_b,V_s_2) % 166.52/166.32 => c_Relation_Oantisym(T_b,V_r_2) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_antisym__def,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Oantisym(T_b,V_r_2) % 166.52/166.32 <=> ! [B_x,B_y] : % 166.52/166.32 ( 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)) % 166.52/166.32 => ( 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)) % 166.52/166.32 => B_x = B_y ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_antisymD,axiom, % 166.52/166.32 ! [V_b_2,V_a_2,V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Oantisym(T_b,V_r_2) % 166.52/166.32 => ( 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)) % 166.52/166.32 => ( 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)) % 166.52/166.32 => V_a_2 = V_b_2 ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_antisym__reflcl,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( 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))) % 166.52/166.32 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_acyclic__impl__antisym__rtrancl,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 166.52/166.32 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_fun__lub__def,axiom, % 166.52/166.32 ! [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)))))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sym__trans__comp__subset,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Osym(T_b,V_r_2) % 166.52/166.32 => ( c_Relation_Otrans(T_b,V_r_2) % 166.52/166.32 => 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)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_symD,axiom, % 166.52/166.32 ! [V_b_2,V_a_2,V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Osym(T_b,V_r_2) % 166.52/166.32 => ( 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)) % 166.52/166.32 => 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)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sym__def,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Osym(T_b,V_r_2) % 166.52/166.32 <=> ! [B_x,B_y] : % 166.52/166.32 ( 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)) % 166.52/166.32 => 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)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sym__Int__converse,axiom, % 166.52/166.32 ! [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))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sym__Un__converse,axiom, % 166.52/166.32 ! [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))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sym__rtrancl,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Osym(T_b,V_r_2) % 166.52/166.32 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sym__Id,axiom, % 166.52/166.32 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sym__Un,axiom, % 166.52/166.32 ! [V_s_2,V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Osym(T_b,V_r_2) % 166.52/166.32 => ( c_Relation_Osym(T_b,V_s_2) % 166.52/166.32 => 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)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sym__Id__on,axiom, % 166.52/166.32 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sym__trancl,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Osym(T_b,V_r_2) % 166.52/166.32 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_listrel__sym,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Osym(T_b,V_r_2) % 166.52/166.32 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sym__converse,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 166.52/166.32 <=> c_Relation_Osym(T_b,V_r_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sym__conv__converse__eq,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Osym(T_b,V_r_2) % 166.52/166.32 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sym__Int,axiom, % 166.52/166.32 ! [V_s_2,V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Osym(T_b,V_r_2) % 166.52/166.32 => ( c_Relation_Osym(T_b,V_s_2) % 166.52/166.32 => 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)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_sym__inv__image,axiom, % 166.52/166.32 ! [V_f_2,T_c,V_r_2,T_b] : % 166.52/166.32 ( c_Relation_Osym(T_b,V_r_2) % 166.52/166.32 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_equivE,axiom, % 166.52/166.32 ! [V_r_2,V_A_2,T_b] : % 166.52/166.32 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.32 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.52/166.32 => ( c_Relation_Osym(T_b,V_r_2) % 166.52/166.32 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_equivI,axiom, % 166.52/166.32 ! [V_r_2,V_A_2,T_b] : % 166.52/166.32 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.52/166.32 => ( c_Relation_Osym(T_b,V_r_2) % 166.52/166.32 => ( c_Relation_Otrans(T_b,V_r_2) % 166.52/166.32 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_equiv__def,axiom, % 166.52/166.32 ! [V_r_2,V_A_2,T_b] : % 166.52/166.32 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 166.52/166.32 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 166.52/166.32 & c_Relation_Osym(T_b,V_r_2) % 166.52/166.32 & c_Relation_Otrans(T_b,V_r_2) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_symp__def,axiom, % 166.52/166.32 ! [V_r_2,T_b] : % 166.52/166.32 ( c_Predicate_Osymp(T_b,V_r_2) % 166.52/166.32 <=> 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))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_part__equivp__refl__symp__transp,axiom, % 166.52/166.32 ! [V_R_2,T_b] : % 166.52/166.32 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 166.52/166.32 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 166.52/166.32 & c_Predicate_Osymp(T_b,V_R_2) % 166.52/166.32 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_part__equivpI,axiom, % 166.52/166.32 ! [T_b,V_R_2] : % 166.52/166.32 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 166.52/166.32 => ( c_Predicate_Osymp(T_b,V_R_2) % 166.52/166.32 => ( c_Predicate_Otransp(T_b,V_R_2) % 166.52/166.32 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_equivp__implies__part__equivp,axiom, % 166.52/166.32 ! [V_R_2,T_b] : % 166.52/166.32 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 166.52/166.32 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_part__equivp__def,axiom, % 166.52/166.32 ! [V_R_2,T_b] : % 166.52/166.32 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 166.52/166.32 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 166.52/166.32 & ! [B_x,B_y] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 166.52/166.32 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 166.52/166.32 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y)) % 166.52/166.32 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_part__equivp__symp,axiom, % 166.52/166.32 ! [V_y_2,V_x_2,V_R_2,T_b] : % 166.52/166.32 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 166.52/166.32 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_part__equivp__transp,axiom, % 166.52/166.32 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 166.52/166.32 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 166.52/166.32 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_part__equivpE,axiom, % 166.52/166.32 ! [V_R_2,T_b] : % 166.52/166.32 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 166.52/166.32 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 166.52/166.32 => ( c_Predicate_Osymp(T_b,V_R_2) % 166.52/166.32 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_part__equivp__typedef,axiom, % 166.52/166.32 ! [V_R_2,T_b] : % 166.52/166.32 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 166.52/166.32 => ? [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))))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__o__cancel,axiom, % 166.52/166.32 ! [V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.52/166.32 => 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) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inj__iff,axiom, % 166.52/166.32 ! [V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.52/166.32 <=> 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) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__into__image__cancel,axiom, % 166.52/166.32 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2)) % 166.52/166.32 => 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 ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inj__on__inv__into,axiom, % 166.52/166.32 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 166.52/166.32 ( 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))) % 166.52/166.32 => 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) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inj__imp__surj__inv,axiom, % 166.52/166.32 ! [V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.52/166.32 => 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)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_image__inv__f__f,axiom, % 166.52/166.32 ! [V_A_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.52/166.32 => 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 ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__image__comp,axiom, % 166.52/166.32 ! [V_X_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.52/166.32 => 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 ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_surj__imp__inj__inv,axiom, % 166.52/166.32 ! [V_f_2,T_b,T_c] : % 166.52/166.32 ( 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)) % 166.52/166.32 => 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))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__id,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__into__def,axiom, % 166.52/166.32 ! [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))) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__f__f,axiom, % 166.52/166.32 ! [V_x_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.52/166.32 => 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 ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__f__eq,axiom, % 166.52/166.32 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.52/166.32 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 166.52/166.32 => 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 ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__into__f__f,axiom, % 166.52/166.32 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.32 => 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 ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__into__f__eq,axiom, % 166.52/166.32 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 166.52/166.32 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 166.52/166.32 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_f__inv__into__f,axiom, % 166.52/166.32 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 166.52/166.32 => 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 ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__into__into,axiom, % 166.52/166.32 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 166.52/166.32 => 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)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__into__injective,axiom, % 166.52/166.32 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] : % 166.52/166.32 ( 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) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 166.52/166.32 => V_x_2 = V_y_2 ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_surj__iff__all,axiom, % 166.52/166.32 ! [V_f_2,T_b,T_c] : % 166.52/166.32 ( 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)) % 166.52/166.32 <=> ! [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 ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_surj__f__inv__f,axiom, % 166.52/166.32 ! [V_y_2,V_f_2,T_b,T_c] : % 166.52/166.32 ( 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)) % 166.52/166.32 => 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 ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_image__surj__f__inv__f,axiom, % 166.52/166.32 ! [V_A_2,V_f_2,T_b,T_c] : % 166.52/166.32 ( 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)) % 166.52/166.32 => 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 ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_image__inv__into__cancel,axiom, % 166.52/166.32 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 166.52/166.32 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2)) % 166.52/166.32 => 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 ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_o__inv__o__cancel,axiom, % 166.52/166.32 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.52/166.32 => 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 ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__into__comp,axiom, % 166.52/166.32 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 166.52/166.32 ( 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)) % 166.52/166.32 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 166.52/166.32 => ( 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)))) % 166.52/166.32 => 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) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_surj__iff,axiom, % 166.52/166.32 ! [V_f_2,T_b,T_c] : % 166.52/166.32 ( 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)) % 166.52/166.32 <=> 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) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inj__transfer,axiom, % 166.52/166.32 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 166.52/166.32 => ( ! [B_y] : % 166.52/166.32 ( 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))))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) ) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_fold__image__UN__disjoint,axiom, % 166.52/166.32 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] : % 166.52/166.32 ( class_Groups_Ocomm__monoid__mult(T_d) % 166.52/166.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2)) % 166.52/166.32 => ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 166.52/166.32 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 166.52/166.32 => ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 166.52/166.32 => ! [B_xa] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2)) % 166.52/166.32 => ( B_x != B_xa % 166.52/166.32 => 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)) ) ) ) % 166.52/166.32 => 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) ) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_nat__of__induct,axiom, % 166.52/166.32 ! [V_Pa_2,V_y_2] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 166.52/166.32 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_nat__of__cases,axiom, % 166.52/166.32 ! [V_y_2] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 166.52/166.32 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_of__nat__induct,axiom, % 166.52/166.32 ! [V_x_2,V_Pa_2] : % 166.52/166.32 ( ! [B_y] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) ) % 166.52/166.32 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_of__nat__cases,axiom, % 166.52/166.32 ! [V_x_2] : % 166.52/166.32 ~ ! [B_y] : % 166.52/166.32 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y) % 166.52/166.32 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_lazy__sequence_Orecs_I1_J,axiom, % 166.52/166.32 ! [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 ). % 166.52/166.32 % 166.52/166.32 fof(fact_beyond__def,axiom, % 166.52/166.32 ! [V_l,V_k] : % 166.52/166.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 166.52/166.32 => c_Quickcheck_Obeyond(V_k,V_l) = V_l ) % 166.52/166.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 166.52/166.32 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_beyond__zero,axiom, % 166.52/166.32 ! [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) ). % 166.52/166.32 % 166.52/166.32 fof(fact_lazy__sequence_Orecs_I2_J,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_bij__image__Collect__eq,axiom, % 166.52/166.32 ! [V_Pa_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( 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))) % 166.52/166.32 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_Pa_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_curry__def,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_curryI,axiom, % 166.52/166.32 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] : % 166.52/166.32 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) % 166.52/166.32 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_bij__betw__id,axiom, % 166.52/166.32 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ). % 166.52/166.32 % 166.52/166.32 fof(fact_bij__betw__inv__into,axiom, % 166.52/166.32 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 166.52/166.32 => 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) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__into__inv__into__eq,axiom, % 166.52/166.32 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 166.52/166.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 166.52/166.32 => 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) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_inv__inv__eq,axiom, % 166.52/166.32 ! [V_f_2,T_c,T_b] : % 166.52/166.32 ( 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))) % 166.52/166.32 => 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 ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_bij__imp__bij__inv,axiom, % 166.52/166.32 ! [V_f_2,T_c,T_b] : % 166.52/166.32 ( 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))) % 166.52/166.32 => 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))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_o__inv__distrib,axiom, % 166.52/166.32 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 166.52/166.32 ( 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))) % 166.52/166.32 => ( 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))) % 166.52/166.32 => 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)) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_bij__betw__comp__iff2,axiom, % 166.52/166.32 ! [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] : % 166.52/166.32 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2) % 166.52/166.32 => ( 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)) % 166.52/166.32 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2) % 166.52/166.32 <=> 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) ) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_bij__betw__trans,axiom, % 166.52/166.32 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 166.52/166.32 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2) % 166.52/166.32 => 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) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_bij__betw__comp__iff,axiom, % 166.52/166.32 ! [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] : % 166.52/166.32 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 166.52/166.32 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2) % 166.52/166.32 <=> 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) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_bij__comp,axiom, % 166.52/166.32 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 166.52/166.32 ( 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))) % 166.52/166.32 => ( 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))) % 166.52/166.32 => 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))) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_curryD,axiom, % 166.52/166.32 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 166.52/166.32 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_curryE,axiom, % 166.52/166.32 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 166.52/166.32 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 166.52/166.32 % 166.52/166.32 fof(fact_curry__conv,axiom, % 166.52/166.32 ! [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)) ). % 166.52/166.32 % 166.52/166.32 fof(fact_curry__split,axiom, % 166.52/166.32 ! [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 ). % 166.52/166.32 % 166.52/166.32 %----Arity declarations (218) % 166.52/166.32 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 166.52/166.32 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Lattices_Obounded__lattice(T_1) % 166.52/166.32 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 166.52/166.32 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Lattices_Obounded__lattice(T_1) % 166.52/166.32 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Lattices_Obounded__lattice(T_1) % 166.52/166.32 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Lattices_Olattice(T_1) % 166.52/166.32 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Lattices_Olattice(T_1) % 166.52/166.32 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Lattices_Odistrib__lattice(T_1) % 166.52/166.32 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Lattices_Oboolean__algebra(T_1) % 166.52/166.32 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Orderings_Opreorder,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Orderings_Opreorder(T_1) % 166.52/166.32 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Finite__Set_Ofinite,axiom, % 166.52/166.32 ! [T_1,T_2] : % 166.52/166.32 ( ( class_Finite__Set_Ofinite(T_2) % 166.52/166.32 & class_Finite__Set_Ofinite(T_1) ) % 166.52/166.32 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Lattices_Olattice,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Lattices_Olattice(T_1) % 166.52/166.32 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Orderings_Oorder,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Orderings_Oorder(T_1) % 166.52/166.32 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Orderings_Otop,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Orderings_Otop(T_1) % 166.52/166.32 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Orderings_Oord,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Orderings_Oord(T_1) % 166.52/166.32 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Orderings_Obot,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Orderings_Obot(T_1) % 166.52/166.32 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Groups_Ouminus,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Groups_Ouminus(T_1) % 166.52/166.32 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Groups_Ominus,axiom, % 166.52/166.32 ! [T_2,T_1] : % 166.52/166.32 ( class_Groups_Ominus(T_1) % 166.52/166.32 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_fun__Enum_Oenum,axiom, % 166.52/166.32 ! [T_1,T_2] : % 166.52/166.32 ( ( class_Enum_Oenum(T_2) % 166.52/166.32 & class_Enum_Oenum(T_1) ) % 166.52/166.32 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Com__Ocom__Nat_Osize,axiom, % 166.52/166.32 class_Nat_Osize(tc_Com_Ocom) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 166.52/166.32 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 166.52/166.32 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 166.52/166.32 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 166.52/166.32 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 166.52/166.32 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 166.52/166.32 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 166.52/166.32 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 166.52/166.32 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 166.52/166.32 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 166.52/166.32 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 166.52/166.32 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 166.52/166.32 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 166.52/166.32 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 166.52/166.32 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 166.52/166.32 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 166.52/166.32 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 166.52/166.32 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 166.52/166.32 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom, % 166.52/166.32 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 166.52/166.32 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 166.52/166.32 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 166.52/166.32 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 166.52/166.32 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 166.52/166.32 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 166.52/166.32 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 166.52/166.32 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 166.52/166.32 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 166.52/166.32 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 166.52/166.32 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 166.52/166.32 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 166.52/166.32 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 166.52/166.32 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 166.52/166.32 class_Divides_Osemiring__div(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 166.52/166.32 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 166.52/166.32 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 166.52/166.32 class_Groups_Oab__group__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 166.52/166.32 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 166.52/166.32 class_Rings_Oordered__ring(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 166.52/166.32 class_Orderings_Opreorder(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 166.52/166.32 class_Orderings_Olinorder(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 166.52/166.32 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 166.52/166.32 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 166.52/166.32 class_Groups_Omonoid__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 166.52/166.32 class_Rings_Osemiring__1(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 166.52/166.32 class_Rings_Osemiring__0(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 166.52/166.32 class_Lattices_Olattice(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 166.52/166.32 class_Groups_Ogroup__add(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 166.52/166.32 class_Divides_Oring__div(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 166.52/166.32 class_Rings_Omult__zero(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 166.52/166.32 class_Orderings_Oorder(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 166.52/166.32 class_Int_Oring__char__0(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 166.52/166.32 class_Int_Onumber__ring(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 166.52/166.32 class_Rings_Osemiring(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Orderings_Oord,axiom, % 166.52/166.32 class_Orderings_Oord(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 166.52/166.32 class_Groups_Ouminus(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 166.52/166.32 class_Groups_Osgn__if(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 166.52/166.32 class_Groups_Oabs__if(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 166.52/166.32 class_Rings_Oring__1(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Ominus,axiom, % 166.52/166.32 class_Groups_Ominus(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Power_Opower,axiom, % 166.52/166.32 class_Power_Opower(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Ozero,axiom, % 166.52/166.32 class_Groups_Ozero(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Oring,axiom, % 166.52/166.32 class_Rings_Oring(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Rings_Oidom,axiom, % 166.52/166.32 class_Rings_Oidom(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Int_Onumber,axiom, % 166.52/166.32 class_Int_Onumber(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Int__Oint__Groups_Oone,axiom, % 166.52/166.32 class_Groups_Oone(tc_Int_Oint) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 166.52/166.32 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 166.52/166.32 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 166.52/166.32 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 166.52/166.32 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 166.52/166.32 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 166.52/166.32 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 166.52/166.32 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 166.52/166.32 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 166.52/166.32 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 166.52/166.32 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 166.52/166.32 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 166.52/166.32 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 166.52/166.32 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 166.52/166.32 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 166.52/166.32 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 166.52/166.32 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 166.52/166.32 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 166.52/166.32 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 166.52/166.32 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 166.52/166.32 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 166.52/166.32 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 166.52/166.32 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 166.52/166.32 class_Orderings_Owellorder(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 166.52/166.32 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 166.52/166.32 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 166.52/166.32 class_Orderings_Opreorder(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 166.52/166.32 class_Orderings_Olinorder(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 166.52/166.32 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 166.52/166.32 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 166.52/166.32 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 166.52/166.32 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 166.52/166.32 class_Lattices_Olattice(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 166.52/166.32 class_Rings_Omult__zero(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 166.52/166.32 class_Orderings_Oorder(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 166.52/166.32 class_Rings_Osemiring(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 166.52/166.32 class_Orderings_Oord(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 166.52/166.32 class_Orderings_Obot(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 166.52/166.32 class_Groups_Ominus(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Power_Opower,axiom, % 166.52/166.32 class_Power_Opower(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 166.52/166.32 class_Groups_Ozero(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Int_Onumber,axiom, % 166.52/166.32 class_Int_Onumber(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Groups_Oone,axiom, % 166.52/166.32 class_Groups_Oone(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nat__Onat__Nat_Osize,axiom, % 166.52/166.32 class_Nat_Osize(tc_Nat_Onat) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 166.52/166.32 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 166.52/166.32 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 166.52/166.32 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 166.52/166.32 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 166.52/166.32 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 166.52/166.32 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 166.52/166.32 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 166.52/166.32 class_Orderings_Opreorder(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 166.52/166.32 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 166.52/166.32 class_Lattices_Olattice(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 166.52/166.32 class_Orderings_Oorder(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 166.52/166.32 class_Orderings_Otop(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 166.52/166.32 class_Orderings_Oord(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 166.52/166.32 class_Orderings_Obot(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 166.52/166.32 class_Groups_Ouminus(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 166.52/166.32 class_Groups_Ominus(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 166.52/166.32 class_Enum_Oenum(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_HOL__Obool__Nat_Osize,axiom, % 166.52/166.32 class_Nat_Osize(tc_HOL_Obool) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Com__Ostate__Nat_Osize,axiom, % 166.52/166.32 class_Nat_Osize(tc_Com_Ostate) ). % 166.52/166.32 % 166.52/166.32 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom, % 166.52/166.32 ! [T_1] : % 166.52/166.32 ( class_Lazy__Sequence_Osmall__lazy(T_1) % 166.52/166.32 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_List__Olist__Nat_Osize,axiom, % 166.52/166.32 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 166.52/166.32 % 166.52/166.32 fof(arity_sum__Finite__Set_Ofinite,axiom, % 166.52/166.32 ! [T_1,T_2] : % 166.52/166.32 ( ( class_Finite__Set_Ofinite(T_2) % 166.52/166.32 & class_Finite__Set_Ofinite(T_1) ) % 166.52/166.32 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_sum__Enum_Oenum,axiom, % 166.52/166.32 ! [T_1,T_2] : % 166.52/166.32 ( ( class_Enum_Oenum(T_2) % 166.52/166.32 & class_Enum_Oenum(T_1) ) % 166.52/166.32 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_sum__Nat_Osize,axiom, % 166.52/166.32 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 166.52/166.32 ! [T_1] : % 166.52/166.32 ( class_Finite__Set_Ofinite(T_1) % 166.52/166.32 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 166.52/166.32 ! [T_1] : % 166.52/166.32 ( class_Enum_Oenum(T_1) % 166.52/166.32 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Option__Ooption__Nat_Osize,axiom, % 166.52/166.32 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom, % 166.52/166.32 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ). % 166.52/166.32 % 166.52/166.32 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom, % 166.52/166.32 ! [T_1,T_2] : % 166.52/166.32 ( ( class_Lazy__Sequence_Osmall__lazy(T_2) % 166.52/166.32 & class_Lazy__Sequence_Osmall__lazy(T_1) ) % 166.52/166.32 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_prod__Finite__Set_Ofinite,axiom, % 166.52/166.32 ! [T_1,T_2] : % 166.52/166.32 ( ( class_Finite__Set_Ofinite(T_2) % 166.52/166.32 & class_Finite__Set_Ofinite(T_1) ) % 166.52/166.32 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_prod__Enum_Oenum,axiom, % 166.52/166.32 ! [T_1,T_2] : % 166.52/166.32 ( ( class_Enum_Oenum(T_2) % 166.52/166.32 & class_Enum_Oenum(T_1) ) % 166.52/166.32 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 166.52/166.32 % 166.52/166.32 fof(arity_prod__Nat_Osize,axiom, % 166.52/166.32 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom, % 166.52/166.32 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 166.52/166.32 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 166.52/166.32 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 166.52/166.32 class_Nat_Osize(tc_Product__Type_Ounit) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom, % 166.52/166.32 class_Nat_Osize(tc_Code__Evaluation_Oterm) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom, % 166.52/166.32 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 166.52/166.32 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 166.52/166.32 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 166.52/166.32 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 166.52/166.32 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 166.52/166.32 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 166.52/166.32 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 166.52/166.32 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 166.52/166.32 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 166.52/166.32 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 166.52/166.32 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 166.52/166.32 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 166.52/166.32 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 166.52/166.32 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 166.52/166.32 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 166.52/166.32 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 166.52/166.32 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 166.52/166.32 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 166.52/166.32 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 166.52/166.32 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 166.52/166.32 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 166.52/166.32 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 166.52/166.32 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 166.52/166.32 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 166.52/166.32 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 166.52/166.32 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 166.52/166.32 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 166.52/166.32 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 166.52/166.32 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 166.52/166.32 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 166.52/166.32 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 166.52/166.32 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 166.52/166.32 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 166.52/166.32 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 166.52/166.32 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 166.52/166.32 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 166.52/166.32 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 166.52/166.32 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 166.52/166.32 % 166.52/166.32 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 166.52/166.32 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 166.52/166.32 % 166.52/166.32 %----Helper facts (20) % 166.52/166.32 fof(help_c__COMBI__1,axiom, % 166.52/166.32 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 166.52/166.32 % 166.52/166.32 fof(help_c__COMBK__1,axiom, % 166.52/166.32 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 166.52/166.32 % 166.52/166.32 fof(help_c__COMBB__1,axiom, % 166.52/166.32 ! [V_R_2,V_Qa_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Qa_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Qa_2,V_R_2)) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__COMBC__1,axiom, % 166.52/166.32 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Qa_2) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__COMBS__1,axiom, % 166.52/166.32 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Qa_2,V_R_2)) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fequal__1,axiom, % 166.52/166.32 ! [V_y_2,V_x_2] : % 166.52/166.32 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 166.52/166.32 | V_x_2 = V_y_2 ) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fequal__2,axiom, % 166.52/166.32 ! [V_y_2,V_x_2] : % 166.52/166.32 ( V_x_2 != V_y_2 % 166.52/166.32 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fFalse__1,axiom, % 166.52/166.32 ~ hBOOL(c_fFalse) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fTrue__1,axiom, % 166.52/166.32 hBOOL(c_fTrue) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fNot__1,axiom, % 166.52/166.32 ! [V_Pa_2] : % 166.52/166.32 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2)) % 166.52/166.32 | ~ hBOOL(V_Pa_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fNot__2,axiom, % 166.52/166.32 ! [V_Pa_2] : % 166.52/166.32 ( ~ ~ hBOOL(V_Pa_2) % 166.52/166.32 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fconj__1,axiom, % 166.52/166.32 ! [V_Qa_2,V_Pa_2] : % 166.52/166.32 ( ~ hBOOL(V_Pa_2) % 166.52/166.32 | ~ hBOOL(V_Qa_2) % 166.52/166.32 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fconj__2,axiom, % 166.52/166.32 ! [V_Qa_2,V_Pa_2] : % 166.52/166.32 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) % 166.52/166.32 | hBOOL(V_Pa_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fconj__3,axiom, % 166.52/166.32 ! [V_Qa_2,V_Pa_2] : % 166.52/166.32 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) % 166.52/166.32 | hBOOL(V_Qa_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fdisj__1,axiom, % 166.52/166.32 ! [V_Qa_2,V_Pa_2] : % 166.52/166.32 ( ~ hBOOL(V_Pa_2) % 166.52/166.32 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fdisj__2,axiom, % 166.52/166.32 ! [V_Pa_2,V_Qa_2] : % 166.52/166.32 ( ~ hBOOL(V_Qa_2) % 166.52/166.32 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fdisj__3,axiom, % 166.52/166.32 ! [V_Qa_2,V_Pa_2] : % 166.52/166.32 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) % 166.52/166.32 | hBOOL(V_Pa_2) % 166.52/166.32 | hBOOL(V_Qa_2) ) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fimplies__1,axiom, % 166.52/166.32 ! [V_Qa_2,V_Pa_2] : % 166.52/166.32 ( hBOOL(V_Pa_2) % 166.52/166.32 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fimplies__2,axiom, % 166.52/166.32 ! [V_Pa_2,V_Qa_2] : % 166.52/166.32 ( ~ hBOOL(V_Qa_2) % 166.52/166.32 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ). % 166.52/166.32 % 166.52/166.32 fof(help_c__fimplies__3,axiom, % 166.52/166.32 ! [V_Qa_2,V_Pa_2] : % 166.52/166.32 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) % 166.52/166.32 | ~ hBOOL(V_Pa_2) % 166.52/166.32 | hBOOL(V_Qa_2) ) ). % 166.52/166.32 % 166.52/166.32 %----Conjectures (2) % 166.52/166.32 fof(conj_0,hypothesis, % 166.52/166.32 ! [B_n] : % 166.52/166.32 ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),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)))) % 166.52/166.32 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) % 166.52/166.32 => ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),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))) % 166.52/166.32 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) ) ). % 166.52/166.32 % 166.52/166.32 fof(conj_1,conjecture, % 166.52/166.32 ! [B_n] : % 166.52/166.32 ( ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G)) % 166.52/166.32 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) % 166.52/166.32 => ! [B_x] : % 166.52/166.32 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),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))) % 166.52/166.32 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) ) ). % 166.52/166.32 % 166.52/166.32 %------------------------------------------------------------------------------ % 166.52/166.32 %------------------------------------------- % 166.52/166.32 % Proof found % 166.52/166.32 % SZS status Theorem for theBenchmark % 166.52/166.32 % SZS output start Proof % 166.52/166.33 %ClaNum:10378(EqnAxiom:3026) % 166.52/166.33 %VarNum:70888(SingletonVarNum:20540) % 166.52/166.33 %MaxLitNum:8 % 166.52/166.33 %MaxfuncDepth:13 % 166.52/166.33 %SharedTerms:1015 % 166.52/166.33 %goalClause: 4557 4601 5700 % 166.52/166.33 %singleGoalClaCount:2 % 166.52/166.33 [3030]P1(a190) % 166.52/166.33 [3031]P2(a905) % 166.52/166.33 [3032]P2(a910) % 166.52/166.33 [3033]P2(a1) % 166.52/166.33 [3034]P103(a905) % 166.52/166.33 [3035]P103(a910) % 166.52/166.33 [3036]P103(a1) % 166.52/166.33 [3037]P3(a905) % 166.52/166.33 [3038]P105(a905) % 166.52/166.33 [3039]P105(a910) % 166.52/166.33 [3040]P109(a910) % 166.52/166.33 [3041]P109(a1) % 166.52/166.33 [3042]P109(a104) % 166.52/166.33 [3043]P110(a910) % 166.52/166.33 [3044]P4(a910) % 166.52/166.33 [3045]P4(a1) % 166.52/166.33 [3046]P4(a104) % 166.52/166.33 [3047]P116(a910) % 166.52/166.33 [3048]P116(a1) % 166.52/166.33 [3049]P116(a104) % 166.52/166.33 [3050]P5(a910) % 166.52/166.33 [3051]P5(a1) % 166.52/166.33 [3052]P5(a104) % 166.52/166.33 [3053]P78(a1) % 166.52/166.33 [3054]P146(a910) % 166.52/166.33 [3055]P146(a1) % 166.52/166.33 [3056]P83(a910) % 166.52/166.33 [3057]P83(a1) % 166.52/166.33 [3058]P83(a104) % 166.52/166.33 [3059]P6(a910) % 166.52/166.33 [3060]P6(a1) % 166.52/166.33 [3061]P6(a104) % 166.52/166.33 [3062]P7(a910) % 166.52/166.33 [3063]P7(a1) % 166.52/166.33 [3064]P7(a104) % 166.52/166.33 [3065]P8(a910) % 166.52/166.33 [3066]P8(a1) % 166.52/166.33 [3067]P8(a104) % 166.52/166.33 [3068]P95(a1) % 166.52/166.33 [3069]P111(a905) % 166.52/166.33 [3070]P111(a910) % 166.52/166.33 [3071]P111(a1) % 166.52/166.33 [3072]P111(a104) % 166.52/166.33 [3073]P112(a910) % 166.52/166.33 [3074]P112(a1) % 166.52/166.33 [3075]P112(a104) % 166.52/166.33 [3076]P113(a905) % 166.52/166.33 [3077]P113(a910) % 166.52/166.33 [3078]P113(a1) % 166.52/166.33 [3079]P113(a104) % 166.52/166.33 [3080]P114(a905) % 166.52/166.33 [3081]P114(a910) % 166.52/166.33 [3082]P114(a1) % 166.52/166.33 [3083]P114(a104) % 166.52/166.33 [3084]P84(a910) % 166.52/166.33 [3085]P84(a1) % 166.52/166.33 [3086]P84(a104) % 166.52/166.33 [3087]P85(a910) % 166.52/166.33 [3088]P85(a1) % 166.52/166.33 [3089]P85(a104) % 166.52/166.33 [3090]P90(a910) % 166.52/166.33 [3091]P90(a1) % 166.52/166.33 [3092]P90(a104) % 166.52/166.33 [3093]P120(a1) % 166.52/166.33 [3094]P9(a905) % 166.52/166.33 [3095]P9(a913) % 166.52/166.33 [3096]P81(a905) % 166.52/166.33 [3097]P81(a910) % 166.52/166.33 [3098]P81(a1) % 166.52/166.33 [3099]P81(a104) % 166.52/166.33 [3100]P75(a1) % 166.52/166.33 [3101]P86(a1) % 166.52/166.33 [3102]P79(a1) % 166.52/166.33 [3103]P121(a1) % 166.52/166.33 [3104]P87(a910) % 166.52/166.33 [3105]P87(a1) % 166.52/166.33 [3106]P87(a104) % 166.52/166.33 [3107]P122(a910) % 166.52/166.33 [3108]P122(a1) % 166.52/166.33 [3109]P122(a104) % 166.52/166.33 [3110]P147(a910) % 166.52/166.33 [3111]P147(a1) % 166.52/166.33 [3112]P147(a104) % 166.52/166.33 [3113]P123(a1) % 166.52/166.33 [3114]P104(a905) % 166.52/166.33 [3115]P104(a910) % 166.52/166.33 [3116]P104(a1) % 166.52/166.33 [3117]P101(a905) % 166.52/166.33 [3118]P101(a910) % 166.52/166.33 [3119]P101(a1) % 166.52/166.33 [3120]P91(a910) % 166.52/166.33 [3121]P91(a1) % 166.52/166.33 [3122]P91(a104) % 166.52/166.33 [3123]P80(a910) % 166.52/166.33 [3124]P80(a1) % 166.52/166.33 [3125]P80(a104) % 166.52/166.33 [3126]P76(a910) % 166.52/166.33 [3127]P76(a1) % 166.52/166.33 [3128]P76(a104) % 166.52/166.33 [3129]P131(a910) % 166.52/166.33 [3130]P131(a1) % 166.52/166.33 [3131]P131(a104) % 166.52/166.33 [3132]P142(a1) % 166.52/166.33 [3133]P132(a910) % 166.52/166.33 [3134]P132(a1) % 166.52/166.33 [3135]P132(a104) % 166.52/166.33 [3136]P144(a910) % 166.52/166.33 [3137]P144(a1) % 166.52/166.33 [3138]P144(a104) % 166.52/166.33 [3139]P117(a910) % 166.52/166.33 [3140]P117(a1) % 166.52/166.33 [3141]P117(a104) % 166.52/166.33 [3142]P88(a910) % 166.52/166.33 [3143]P88(a1) % 166.52/166.33 [3144]P88(a104) % 166.52/166.33 [3145]P145(a910) % 166.52/166.33 [3146]P145(a1) % 166.52/166.33 [3147]P145(a104) % 166.52/166.33 [3148]P129(a1) % 166.52/166.33 [3149]P130(a1) % 166.52/166.33 [3150]P137(a910) % 166.52/166.33 [3151]P137(a1) % 166.52/166.33 [3152]P137(a104) % 166.52/166.33 [3153]P138(a1) % 166.52/166.33 [3154]P140(a910) % 166.52/166.33 [3155]P140(a1) % 166.52/166.33 [3156]P140(a104) % 166.52/166.33 [3157]P139(a910) % 166.52/166.33 [3158]P139(a1) % 166.52/166.33 [3159]P139(a104) % 166.52/166.33 [3160]P124(a910) % 166.52/166.33 [3161]P124(a1) % 166.52/166.33 [3162]P124(a104) % 166.52/166.33 [3163]P133(a910) % 166.52/166.33 [3164]P133(a1) % 166.52/166.33 [3165]P133(a104) % 166.52/166.33 [3166]P134(a910) % 166.52/166.33 [3167]P134(a1) % 166.52/166.33 [3168]P134(a104) % 166.52/166.33 [3169]P135(a1) % 166.52/166.33 [3170]P136(a1) % 166.52/166.33 [3171]P106(a910) % 166.52/166.33 [3172]P106(a1) % 166.52/166.33 [3173]P106(a104) % 166.52/166.33 [3174]P89(a1) % 166.52/166.33 [3175]P141(a1) % 166.52/166.33 [3176]P82(a910) % 166.52/166.33 [3177]P82(a1) % 166.52/166.33 [3178]P82(a104) % 166.52/166.33 [3179]P10(a905) % 166.52/166.33 [3180]P115(a905) % 166.52/166.33 [3181]P102(a905) % 166.52/166.33 [3182]P98(a905) % 166.52/166.33 [3183]P92(a905) % 166.52/166.33 [3184]P92(a1) % 166.52/166.33 [3185]P125(a1) % 166.52/166.33 [3186]P118(a1) % 166.52/166.33 [3187]P143(a1) % 166.52/166.33 [3188]P77(a1) % 166.52/166.33 [3189]P119(a910) % 166.52/166.33 [3190]P119(a1) % 166.52/166.33 [3191]P119(a104) % 166.52/166.33 [3192]P68(a910) % 166.52/166.33 [3193]P68(a1) % 166.52/166.33 [3194]P68(a104) % 166.52/166.33 [3195]P69(a1) % 166.52/166.33 [3196]P93(a1) % 166.52/166.33 [3197]P96(a1) % 166.52/166.33 [3198]P97(a910) % 166.52/166.33 [3199]P97(a1) % 166.52/166.33 [3200]P97(a104) % 166.52/166.33 [3201]P94(a910) % 166.52/166.33 [3202]P94(a1) % 166.52/166.33 [3203]P94(a104) % 166.52/166.33 [3204]P70(a905) % 166.52/166.33 [3205]P70(a913) % 166.52/166.33 [3206]P108(a905) % 166.52/166.33 [3207]P108(a906) % 166.52/166.33 [3208]P108(a907) % 166.52/166.33 [3209]P108(a910) % 166.52/166.33 [3210]P108(a913) % 166.52/166.33 [3211]P108(a104) % 166.52/166.33 [3212]P108(a325) % 166.52/166.33 [3213]P107(a1) % 166.52/166.33 [3214]P107(a913) % 166.52/166.33 [3215]P100(a905) % 166.52/166.33 [3231]P43(a910,a245) % 166.52/166.33 [3232]P43(a910,a319) % 166.52/166.33 [3233]P44(a910,a245) % 166.52/166.33 [3315]P46(a910,a910,a117) % 166.52/166.33 [4573]~E(a102,a85) % 166.52/166.33 [4574]~P1(a244) % 166.52/166.33 [4601]~P33(a904,a845,a844) % 166.52/166.33 [3027]E(f2(a1),a85) % 166.52/166.33 [3028]E(f105(a104),a3) % 166.52/166.33 [3029]E(f23(a104),a24) % 166.52/166.33 [3216]E(f191(a910),f2(a910)) % 166.52/166.33 [3217]E(f30(a25),f2(a910)) % 166.52/166.33 [3218]E(f106(a910),f237(a910)) % 166.52/166.33 [3219]E(f115(a910),f238(a910)) % 166.52/166.33 [3220]E(f107(a1),f33(a1)) % 166.52/166.33 [3221]E(f86(a244),f2(a910)) % 166.52/166.33 [3222]E(f86(a190),f2(a910)) % 166.52/166.33 [3223]P11(f2(a1)) % 166.52/166.33 [3224]P11(f80(a1)) % 166.52/166.33 [3281]P43(f917(a910,a910),a34) % 166.52/166.33 [3626]E(f321(a910,a910,a245,a245),a34) % 166.52/166.33 [4575]~E(f80(a1),f2(a1)) % 166.52/166.33 [3225]E(f116(f2(a910)),f2(a910)) % 166.52/166.33 [3226]E(f4(f2(a104)),f2(a910)) % 166.52/166.33 [3235]E(f329(f81(a1),a85),a85) % 166.52/166.33 [3239]E(f329(a3,f2(a910)),f2(a104)) % 166.52/166.33 [3240]E(f329(a117,f2(a910)),f80(a910)) % 166.52/166.33 [3241]E(f329(a109,f80(a1)),f80(a910)) % 166.52/166.33 [3242]E(f329(a3,f80(a910)),f80(a104)) % 166.52/166.33 [3244]E(f329(f108(a1),a85),f2(a1)) % 166.52/166.33 [3245]E(f329(f108(a104),a85),f2(a104)) % 166.52/166.33 [3246]E(f329(a109,f2(a1)),f2(a910)) % 166.52/166.33 [3247]E(f329(f192(a905),a244),f2(a910)) % 166.52/166.33 [3248]E(f329(f192(a905),a190),f2(a910)) % 166.52/166.33 [3249]E(f329(f192(a907),a25),f2(a910)) % 166.52/166.33 [3250]E(f329(f108(a910),a85),f2(a910)) % 166.52/166.33 [3256]E(f329(f81(a1),f80(a1)),a102) % 166.52/166.33 [3264]E(f329(f192(a104),f2(a104)),f2(a910)) % 166.52/166.33 [3265]E(f329(f105(a1),f2(a910)),f2(a1)) % 166.52/166.33 [3266]E(f329(f105(a1),f80(a910)),f80(a1)) % 166.52/166.33 [3267]E(f329(f81(a1),f2(a1)),f2(a1)) % 166.52/166.33 [3278]E(f329(a109,f80(a1)),f329(a117,f2(a910))) % 166.52/166.33 [3279]E(f320(f917(a910,a910),a34),a35) % 166.52/166.33 [3280]E(f322(f917(a910,a910),a34),a70) % 166.52/166.33 [3307]E(f329(f285(a910),f2(a910)),f191(f918(a910,a905))) % 166.52/166.33 [3308]E(f329(f286(a910),f2(a910)),f247(f918(a910,a905))) % 166.52/166.33 [3317]P47(f191(f918(a1,a905))) % 166.52/166.33 [3351]E(f329(f329(f23(a104),f2(a104)),f80(a104)),f2(a104)) % 166.52/166.33 [3427]P1(f329(f329(f240(a1),a102),f2(a1))) % 166.52/166.33 [3452]P1(f329(f329(f239(a1),f2(a1)),f80(a1))) % 166.52/166.33 [3453]P1(f329(f329(f240(a1),f2(a1)),f80(a1))) % 166.52/166.33 [3659]E(f329(f329(f291(a910,a910,a910),a319),f309(a910,a319)),a245) % 166.52/166.33 [3697]P49(a1,a910,a109,f329(f239(a1),f2(a1))) % 166.52/166.33 [3701]E(f329(f329(f40(a910,f918(a910,a905)),f247(f918(a910,a905))),f285(a910)),f247(f918(a910,a905))) % 166.52/166.33 [3702]E(f329(f329(f40(a910,f918(a910,a905)),f247(f918(a910,a905))),f303(a910)),f247(f918(a910,a905))) % 166.52/166.33 [3703]E(f329(f329(f40(a910,f918(a910,a905)),f247(f918(a910,a905))),f286(a910)),f247(f918(a910,a905))) % 166.52/166.33 [3704]E(f329(f329(f41(a910,f918(a910,a905)),f247(f918(a910,a905))),f306(a910)),f191(f918(a910,a905))) % 166.52/166.33 [3720]P30(a910,a1,f105(a1),f247(f918(a910,a905))) % 166.52/166.33 [3734]P49(a910,a1,f105(a1),f329(f16(a905,a910),a190)) % 166.52/166.33 [3871]E(f329(f74(a910,a104,a1,a3),a109),f108(a104)) % 166.52/166.33 [4091]P64(a104,a910,a20,a3,f247(f918(a910,a905))) % 166.52/166.33 [4098]P64(a1,f918(f917(a910,a910),a905),a112,a91,a103) % 166.52/166.33 [4351]E(f263(a1,a1,a1,a1,f33(a1),f81(a1)),a52) % 166.52/166.33 [4596]~E(f329(f108(a1),a102),f329(f108(a1),a85)) % 166.52/166.33 [4597]~P1(f329(a196,f2(a1))) % 166.52/166.33 [4598]~P1(f329(a196,f80(a1))) % 166.52/166.33 [4640]~P1(f329(f329(f240(a1),a85),f2(a1))) % 166.52/166.33 [3300]E(f329(f329(f23(a1),a102),a102),a85) % 166.52/166.33 [3314]E(f329(f105(a1),f329(a117,f2(a910))),f80(a1)) % 166.52/166.33 [3380]E(f329(f36(a913),f247(f918(a913,a905))),f80(a910)) % 166.52/166.33 [3400]P1(f329(a196,f329(f108(a1),a102))) % 166.52/166.33 [3402]P1(f329(f329(f239(a1),a102),a85)) % 166.52/166.33 [3404]P1(f329(f329(f240(a1),a102),a85)) % 166.52/166.33 [3462]E(f329(f329(f311(a910),f2(a910)),f191(f918(a910,a905))),f329(f303(a910),f2(a910))) % 166.52/166.33 [3517]P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),a85))) % 166.52/166.33 [3529]E(f329(f312(a910,a910,a117),f247(f918(a910,a905))),f329(f306(a910),f2(a910))) % 166.52/166.33 [3566]P13(f917(a910,a910),f247(f918(f917(a910,a910),a905)),a113) % 166.52/166.33 [3878]E(f329(f74(a910,a1,a104,f105(a1)),a20),a22) % 166.52/166.33 [3939]P43(a910,f329(f267(f917(a910,a910)),f329(f262(a910,a910,a905),f240(a910)))) % 166.52/166.33 [4631]~P1(f329(a196,f329(f108(a1),a85))) % 166.52/166.33 [4632]~P1(f329(f329(f239(a1),a85),a102)) % 166.52/166.33 [4633]~P1(f329(f329(f240(a1),a85),a85)) % 166.52/166.33 [4634]~P1(f329(f329(f240(a1),a85),a102)) % 166.52/166.33 [4635]~P1(f329(f329(f240(a1),a102),a102)) % 166.52/166.33 [4646]~P1(f329(f62(a910),f247(f918(a910,a905)))) % 166.52/166.33 [4647]~P1(f329(f62(a1),f247(f918(a1,a905)))) % 166.52/166.33 [4517]E(f329(f262(a1,a1,a905),f329(f329(f8(f918(a1,a905),f918(a1,a905),a1),f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f240(a1),f2(a1))))),f329(f329(f7(a1,a1,f918(a1,a905)),f329(f329(f8(f918(a1,f918(a1,a905)),f918(a1,f918(a1,a905)),a1),f7(a1,a1,a905)),f329(f329(f8(f918(a1,a1),f918(a1,f918(a1,a905)),a1),f329(f8(a1,f918(a1,a905),a1),a326)),a221))),f80(a1)))),a217) % 166.52/166.33 [3601]E(f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102),f329(f81(a1),a102)) % 166.52/166.33 [3641]E(f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102),f329(f329(f23(a1),a85),a102)) % 166.52/166.33 [3804]E(f329(f329(f61(f917(a910,a910)),f247(f918(f917(a910,a910),a905))),a113),a103) % 166.52/166.33 [3833]E(f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(a1)) % 166.52/166.33 [3834]E(f329(f108(a104),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(a104)) % 166.52/166.33 [3835]E(f329(f108(a910),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(a910)) % 166.52/166.33 [3839]E(f329(f108(a910),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(a117,f2(a910))) % 166.52/166.33 [4219]E(f329(f329(f115(f918(f917(f917(a910,a910),f917(a910,a910)),a905)),a34),f309(f917(a910,a910),f191(f918(f917(f917(a910,a910),f917(a910,a910)),a905)))),a72) % 166.52/166.33 [4285]E(f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),f2(a910)),f2(a910))),f191(f918(f917(a910,a910),a905))))),f2(a1)) % 166.52/166.33 [4286]E(f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),f80(a910)),f2(a910))),f191(f918(f917(a910,a910),a905))))),f80(a1)) % 166.52/166.33 [4299]E(f329(f267(f917(a910,a910)),f329(f262(a910,a910,a905),f329(f329(f8(a910,f918(a910,a905),a910),f329(f7(a910,a910,a905),a326)),a117))),a319) % 166.52/166.33 [4271]E(f329(f108(a910),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(a910)))) % 166.52/166.33 [4274]E(f329(f108(a910),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(a910),f80(a910)),f80(a910))) % 166.52/166.33 [4275]E(f329(f108(a910),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(f36(a905),f247(f918(a905,a905)))) % 166.52/166.33 [4338]P11(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)))) % 166.52/166.33 [4407]P32(f918(f917(a910,a910),a905),f329(f329(f257(f918(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),a905),f918(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),a905)),a35),a71)) % 166.52/166.33 [4408]P32(f918(f917(a910,a910),a905),f329(f329(f257(f918(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),a905),f918(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),a905)),a70),a73)) % 166.52/166.33 [4448]E(f329(f329(f115(f918(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),a905)),f322(f917(a910,a910),a72)),f329(f329(f311(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),f191(f918(f917(a910,a910),a905))),f191(f918(f917(a910,a910),a905)))),f191(f918(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),a905)))),a73) % 166.52/166.33 [4449]E(f329(f329(f115(f918(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),a905)),f320(f917(a910,a910),a72)),f329(f329(f311(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),f191(f918(f917(a910,a910),a905))),f191(f918(f917(a910,a910),a905)))),f191(f918(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),a905)))),a71) % 166.52/166.33 [4340]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(a910)))) % 166.52/166.33 [4385]E(f329(f105(a1),f329(f108(a910),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)))) % 166.52/166.33 [4418]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))))) % 166.52/166.33 [4419]E(f329(f108(a910),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(a910))))) % 166.52/166.33 [4463]P11(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))) % 166.52/166.33 [4489]E(f329(f105(a1),f329(f108(a910),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))) % 166.52/166.33 [4502]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)))) % 166.52/166.33 [4557]P1(f329(f329(f331(f909(a904)),a844),f329(f312(a908,f909(a904),f329(f329(f18(a908,f918(a904,f918(a906,a905)),f909(a904)),f329(f329(f18(a908,a907,f918(f918(a904,f918(a906,a905)),f909(a904))),f329(f329(f8(f918(a904,f918(a906,a905)),f918(a907,f918(f918(a904,f918(a906,a905)),f909(a904))),a908),f93(a904)),a919)),a26)),a921)),a922))) % 166.52/166.33 [3234]P12(x32341,a326) % 166.52/166.33 [3627]P30(a910,a910,a117,x36271) % 166.52/166.33 [3227]P108(f909(x32271)) % 166.52/166.33 [3228]P108(f914(x32281)) % 166.52/166.33 [3229]P108(f911(x32291)) % 166.52/166.33 [3230]P108(f912(x32301)) % 166.52/166.33 [3251]P43(a1,f110(x32511)) % 166.52/166.33 [3252]P43(a1,f111(x32521)) % 166.52/166.33 [3303]P43(f918(x33031,a905),f316(x33031)) % 166.52/166.33 [3304]P44(f918(x33041,a905),f316(x33041)) % 166.52/166.33 [3329]E(f248(x33291,x33291,a326),a326) % 166.52/166.33 [3344]E(f46(a1,x33441,x33441),f2(a1)) % 166.52/166.33 [3397]P19(x33971,f918(x33971,a905),f311(x33971)) % 166.52/166.33 [4577]~E(f329(a26,x45771),a25) % 166.52/166.33 [4579]~E(f329(a117,x45791),x45791) % 166.52/166.33 [4589]~E(f329(a117,x45891),f2(a910)) % 166.52/166.33 [3236]E(f329(f192(a910),x32361),x32361) % 166.52/166.33 [3237]E(f329(f108(a1),x32371),x32371) % 166.52/166.33 [3253]E(f329(a91,f330(x32531)),x32531) % 166.52/166.33 [3254]E(f329(a3,f571(x32541)),x32541) % 166.52/166.33 [3255]E(f246(x32551,f2(a104)),f2(a104)) % 166.52/166.33 [3268]E(f119(x32681,f118(x32681)),f118(x32681)) % 166.52/166.33 [3269]E(f155(x32691,f118(x32691)),f118(x32691)) % 166.52/166.33 [3271]E(f30(f329(a26,x32711)),f2(a910)) % 166.52/166.33 [3275]E(f329(f170(x32751),f118(x32751)),f118(x32751)) % 166.52/166.33 [3276]E(f329(f174(x32761),f118(x32761)),f118(x32761)) % 166.52/166.33 [3277]E(f329(f171(x32771),f118(x32771)),f118(x32771)) % 166.52/166.33 [3282]E(f329(f108(a1),x32821),f329(f107(a1),x32821)) % 166.52/166.33 [3283]E(f329(a91,f329(a112,x32831)),x32831) % 166.52/166.33 [3285]E(f329(a3,f329(a20,x32851)),x32851) % 166.52/166.33 [3286]E(f329(a20,f329(a3,x32861)),x32861) % 166.52/166.33 [3287]P11(f329(f105(a1),x32871)) % 166.52/166.33 [3296]E(f329(f192(f911(x32961)),f118(x32961)),f2(a910)) % 166.52/166.33 [3297]E(f329(f192(f912(x32971)),f124(x32971)),f2(a910)) % 166.52/166.33 [3302]E(f329(f192(a907),f329(a26,x33021)),f2(a910)) % 166.52/166.33 [3320]E(f329(f329(f82(a910),x33201),f2(a910)),x33201) % 166.52/166.33 [3321]E(f329(f329(f82(a1),x33211),f2(a1)),x33211) % 166.52/166.33 [3322]E(f329(f329(f23(a910),x33221),f2(a910)),x33221) % 166.52/166.33 [3323]E(f329(f329(f83(a910),x33231),f80(a910)),x33231) % 166.52/166.33 [3324]E(f329(f329(f83(a1),x33241),f80(a1)),x33241) % 166.52/166.33 [3325]E(f329(f329(f238(a910),x33251),f2(a910)),x33251) % 166.52/166.33 [3326]E(f329(f329(f83(a910),x33261),f2(a910)),f2(a910)) % 166.52/166.33 [3327]E(f329(f329(f237(a910),x33271),f2(a910)),f2(a910)) % 166.52/166.33 [3328]E(f329(f329(f37(a1),x33281),f2(a1)),f2(a1)) % 166.52/166.33 [3335]E(f329(f175(x33351),f118(x33351)),f191(f918(x33351,a905))) % 166.52/166.33 [3339]P1(f329(f140(x33391),f118(x33391))) % 166.52/166.33 [3345]E(f329(f157(x33451,x33451),f5(x33451)),f33(f911(x33451))) % 166.52/166.33 [3346]E(f329(f157(x33461,x33461),f33(x33461)),f33(f911(x33461))) % 166.52/166.33 [3347]E(f46(a1,x33471,f2(a1)),x33471) % 166.52/166.33 [3348]E(f329(f239(a910),f329(a117,x33481)),f329(f240(a910),x33481)) % 166.52/166.33 [3349]E(f329(f285(a910),f329(a117,x33491)),f329(f303(a910),x33491)) % 166.52/166.33 [3350]E(f329(f286(a910),f329(a117,x33501)),f329(f306(a910),x33501)) % 166.52/166.33 [3352]E(f46(a1,f2(a1),x33521),f2(a1)) % 166.52/166.33 [3365]E(f329(f329(f82(a910),x33651),f80(a910)),f329(a117,x33651)) % 166.52/166.33 [3374]E(f329(f304(a910,x33741),f2(a910)),f191(f918(a910,a905))) % 166.52/166.33 [3386]E(f305(a910,f2(a910),x33861),f329(f303(a910),x33861)) % 166.52/166.33 [3430]E(f329(f329(f23(a910),f329(a117,x34301)),f80(a910)),x34301) % 166.52/166.33 [3442]E(f48(f2(a1),x34421),f329(f329(f257(a1,a1),f2(a1)),f2(a1))) % 166.52/166.33 [3492]P1(f329(f329(f240(a910),x34921),f329(a117,x34921))) % 166.52/166.33 [3504]P1(f329(f329(f240(a910),f2(a910)),f329(a117,x35041))) % 166.52/166.33 [3733]E(f94(x37331,x37331,f247(f918(x37331,a905)),f33(x37331)),f33(x37331)) % 166.52/166.33 [3790]E(f329(f329(f23(a104),f329(a3,f329(a117,f329(a20,x37901)))),f80(a104)),x37901) % 166.52/166.33 [3862]P1(f329(f329(f239(a1),f329(f81(a1),f329(f105(a1),x38621))),f2(a1))) % 166.52/166.33 [4007]P1(f329(f329(f240(a1),f329(f81(a1),f329(f105(a1),f329(a117,x40071)))),f2(a1))) % 166.52/166.33 [4604]~E(f247(f918(x46041,a905)),f191(f918(x46041,a905))) % 166.52/166.33 [4643]~P1(f329(f329(f240(a910),x46431),f2(a910))) % 166.52/166.33 [4656]~P1(f329(f329(f240(a1),f329(f105(a1),x46561)),f2(a1))) % 166.52/166.33 [3301]E(f182(x33011,f118(f911(x33011))),f118(f911(x33011))) % 166.52/166.33 [3305]E(f329(f329(f83(a1),a85),x33051),a85) % 166.52/166.33 [3306]E(f329(f329(f82(a1),a85),x33061),x33061) % 166.52/166.33 [3309]E(f329(a109,f329(f105(a1),x33091)),x33091) % 166.52/166.33 [3310]E(f329(f329(f82(a1),x33101),a85),x33101) % 166.52/166.33 [3311]E(f329(f329(f23(a1),x33111),a85),x33111) % 166.52/166.33 [3313]E(f329(f329(f23(a910),x33131),x33131),f2(a910)) % 166.52/166.33 [3318]E(f329(f36(a910),f329(f285(a910),x33181)),x33181) % 166.52/166.33 [3319]E(f329(f81(a1),f329(f81(a1),x33191)),x33191) % 166.52/166.33 [3330]E(f329(f329(f82(a910),f2(a910)),x33301),x33301) % 166.52/166.33 [3331]E(f329(f329(f82(a1),f2(a1)),x33311),x33311) % 166.52/166.33 [3332]E(f329(f329(f83(a910),f80(a910)),x33321),x33321) % 166.52/166.33 [3333]E(f329(f329(f83(a1),f80(a1)),x33331),x33331) % 166.52/166.33 [3334]E(f329(f329(f238(a910),f2(a910)),x33341),x33341) % 166.52/166.33 [3340]E(f329(f329(f23(a910),f2(a910)),x33401),f2(a910)) % 166.52/166.33 [3341]E(f329(f329(f83(a910),f2(a910)),x33411),f2(a910)) % 166.52/166.33 [3342]E(f329(f329(f237(a910),f2(a910)),x33421),f2(a910)) % 166.52/166.33 [3343]E(f329(f329(f37(a1),f2(a1)),x33431),f2(a1)) % 166.52/166.33 [3353]E(f132(x33531,f329(f81(a1),x33531)),f135(a1,x33531)) % 166.52/166.33 [3358]E(f329(f304(a910,f2(a910)),x33581),f329(f285(a910),x33581)) % 166.52/166.33 [3359]E(f329(f329(f83(a1),a102),x33591),f329(f81(a1),x33591)) % 166.52/166.33 [3367]E(f329(a109,f329(f108(a1),x33671)),f329(f108(a910),x33671)) % 166.52/166.33 [3368]E(f329(a20,f329(f108(a104),x33681)),f329(f108(a910),x33681)) % 166.52/166.33 [3369]E(f329(f36(a910),f329(f303(a910),x33691)),f329(a117,x33691)) % 166.52/166.33 [3378]E(f329(f329(f82(a910),f80(a910)),x33781),f329(a117,x33781)) % 166.52/166.33 [3382]E(f329(f77(a1),f329(f105(a1),x33821)),f329(f105(a1),x33821)) % 166.52/166.33 [3383]E(f329(f107(a1),f329(f105(a1),x33831)),f329(f105(a1),x33831)) % 166.52/166.33 [3387]E(f329(f36(x33871),f191(f918(x33871,a905))),f2(a910)) % 166.52/166.33 [3389]E(f329(f329(f37(a910),x33891),f329(a117,f2(a910))),x33891) % 166.52/166.33 [3398]E(f46(a910,x33981,f329(a117,f2(a910))),f2(a910)) % 166.52/166.33 [3399]E(f46(a1,x33991,f329(f108(a1),a102)),f2(a1)) % 166.52/166.33 [3413]E(f329(f329(f37(a1),x34131),f329(f108(a1),a102)),f329(f81(a1),x34131)) % 166.52/166.33 [3417]E(f142(a910,f329(f304(a910,x34171),f2(a910))),f118(a910)) % 166.52/166.33 [3418]E(f329(f329(f23(a1),x34181),f80(a1)),f329(f329(f82(a1),x34181),a102)) % 166.52/166.33 [3419]E(f329(f329(f82(a1),x34191),f80(a1)),f329(f329(f23(a1),x34191),a102)) % 166.52/166.33 [3424]P1(f329(f329(f197(a25),x34241),x34241)) % 166.52/166.33 [3425]P1(f329(f329(f239(a910),x34251),x34251)) % 166.52/166.33 [3426]P1(f329(f329(f239(a1),x34261),x34261)) % 166.52/166.33 [3431]E(f329(f81(a1),f329(f108(a1),x34311)),f329(f108(a1),f329(f81(a1),x34311))) % 166.52/166.33 [3432]P1(f329(f62(a910),f329(f285(a910),x34321))) % 166.52/166.33 [3433]P1(f329(f62(a910),f329(f303(a910),x34331))) % 166.52/166.33 [3440]E(f164(x34401,f247(f918(x34401,a905))),f247(f918(f911(x34401),a905))) % 166.52/166.33 [3445]P1(f329(f329(f239(a910),f2(a910)),x34451)) % 166.52/166.33 [3455]E(f329(f329(f82(a910),f116(x34551)),f329(a117,f2(a910))),f116(f329(a117,x34551))) % 166.52/166.33 [3456]E(f329(f267(x34561),f329(f16(a905,x34561),a244)),f191(f918(x34561,a905))) % 166.52/166.33 [3457]E(f329(f267(x34571),f329(f16(a905,x34571),a190)),f247(f918(x34571,a905))) % 166.52/166.33 [3461]E(f329(f329(f311(a910),x34611),f329(f285(a910),x34611)),f329(f285(a910),f329(a117,x34611))) % 166.52/166.33 [3473]E(f329(f329(f82(a1),f80(a1)),f329(f105(a1),x34731)),f329(f105(a1),f329(a117,x34731))) % 166.52/166.33 [3475]E(f329(f329(f154(f911(x34751)),f118(x34751)),f118(f911(x34751))),f55(x34751,f118(x34751))) % 166.52/166.33 [3495]E(f191(f918(f917(x34951,x34951),a905)),f268(x34951,f191(f918(x34951,a905)))) % 166.52/166.33 [3496]E(f329(f310(x34961),f247(f918(x34961,a905))),f247(f918(f918(x34961,a905),a905))) % 166.52/166.33 [3497]E(f329(f81(f918(x34971,a905)),f191(f918(x34971,a905))),f247(f918(x34971,a905))) % 166.52/166.33 [3498]E(f329(f81(f918(x34981,a905)),f247(f918(x34981,a905))),f191(f918(x34981,a905))) % 166.52/166.33 [3500]P1(f329(f62(x35001),f191(f918(x35001,a905)))) % 166.52/166.33 [3502]E(f329(f304(a910,x35021),f329(a117,x35021)),f329(f329(f311(a910),x35021),f191(f918(a910,a905)))) % 166.52/166.33 [3503]E(f87(f917(a910,a910),f49(x35031,f2(a910))),f329(f329(f257(a910,a910),f2(a910)),x35031)) % 166.52/166.33 [3516]E(f329(f329(f311(a910),f329(a117,x35161)),f329(f303(a910),x35161)),f329(f303(a910),f329(a117,x35161))) % 166.52/166.33 [3520]P43(x35201,f191(f918(f917(x35201,x35201),a905))) % 166.52/166.33 [3521]P45(x35211,f191(f918(f917(x35211,x35211),a905))) % 166.52/166.33 [3524]P1(f329(f329(f239(a1),f2(a1)),f329(f105(a1),x35241))) % 166.52/166.33 [3531]E(f329(f329(f82(a910),f329(f192(a910),x35311)),f329(a117,f2(a910))),f329(f192(a910),f329(a117,x35311))) % 166.52/166.33 [3634]P47(f329(f312(a910,a1,f105(a1)),x36341)) % 166.52/166.33 [3673]P60(x36731,f191(f918(x36731,a905)),f191(f918(f917(x36731,x36731),a905))) % 166.52/166.33 [3693]E(f329(f329(f257(a1,a1),f329(f108(a1),a102)),f329(f329(f23(a1),x36931),f80(a1))),f51(f329(f108(a1),a102),x36931)) % 166.52/166.33 [3746]P67(x37461,f329(f16(f918(x37461,a905),x37461),f329(f16(a905,x37461),a244))) % 166.52/166.33 [3950]P1(f329(f329(f331(f918(f917(a910,a910),a905)),f330(x39501)),a103)) % 166.52/166.33 [3975]P1(f329(f329(f331(f918(f917(a910,a910),a905)),f329(a112,x39751)),a103)) % 166.52/166.33 [4106]P30(x41061,f918(x41061,a905),f329(f329(f7(x41061,f918(x41061,a905),f918(x41061,a905)),f311(x41061)),f191(f918(x41061,a905))),f247(f918(x41061,a905))) % 166.52/166.33 [4600]~E(f329(f329(f82(a1),x46001),x46001),a102) % 166.52/166.33 [4630]~E(f329(a3,f329(a117,f329(a20,x46301))),f2(a104)) % 166.52/166.33 [4636]~P1(f329(a196,f329(f105(a1),x46361))) % 166.52/166.33 [4639]~P1(f329(f329(f240(a910),x46391),x46391)) % 166.52/166.33 [4649]~P1(f329(f329(f239(a910),f329(a117,x46491)),x46491)) % 166.52/166.33 [3447]E(f329(a109,f329(f81(a1),f329(f105(a1),x34471))),f2(a910)) % 166.52/166.33 [3450]E(f329(f329(f82(a1),f329(f81(a1),x34501)),x34501),f2(a1)) % 166.52/166.33 [3454]E(f329(f36(a1),f329(f304(a1,f2(a1)),x34541)),f329(a109,x34541)) % 166.52/166.33 [3466]E(f329(f329(f249(a910),f329(a117,f2(a910))),x34661),f329(a117,f2(a910))) % 166.52/166.33 [3563]E(f329(f284(x35631),f191(f918(f917(x35631,x35631),a905))),f191(f918(x35631,a905))) % 166.52/166.33 [3571]E(f39(f918(x35711,a905),f191(f918(f918(x35711,a905),a905))),f247(f918(x35711,a905))) % 166.52/166.33 [3572]E(f39(f918(x35721,a905),f247(f918(f918(x35721,a905),a905))),f191(f918(x35721,a905))) % 166.52/166.33 [3573]E(f38(f918(x35731,a905),f191(f918(f918(x35731,a905),a905))),f191(f918(x35731,a905))) % 166.52/166.33 [3574]E(f38(f918(x35741,a905),f247(f918(f918(x35741,a905),a905))),f247(f918(x35741,a905))) % 166.52/166.33 [3617]E(f329(f329(f311(f911(x36171)),f118(x36171)),f191(f918(f911(x36171),a905))),f164(x36171,f191(f918(x36171,a905)))) % 166.52/166.33 [3618]E(f329(f329(f311(f911(x36181)),f118(x36181)),f191(f918(f911(x36181),a905))),f165(x36181,f118(f918(x36181,a905)))) % 166.52/166.33 [3658]E(f329(f329(f82(a910),f4(x36581)),f329(a117,f2(a910))),f4(f329(a3,f329(a117,f329(a20,x36581))))) % 166.52/166.33 [3684]E(f329(f36(a1),f329(f312(a910,a1,f105(a1)),x36841)),f329(f36(a910),x36841)) % 166.52/166.33 [3687]P1(f329(f329(f239(a910),x36871),f329(f329(f83(a910),x36871),x36871))) % 166.52/166.33 [3724]E(f329(f312(a1,a910,a109),f305(a1,f2(a1),f329(f105(a1),x37241))),f329(f303(a910),x37241)) % 166.52/166.33 [3741]E(f329(f329(f37(a910),f329(a117,f2(a910))),f329(f108(a910),x37411)),f329(a109,f329(f329(f37(a1),f80(a1)),f329(f108(a1),x37411)))) % 166.52/166.33 [3743]E(f329(f175(a910),f142(a910,f329(f304(a910,f2(a910)),f329(a117,x37431)))),f329(f303(a910),x37431)) % 166.52/166.33 [3744]E(f329(f329(f82(a910),f329(f192(a104),x37441)),f329(a117,f2(a910))),f329(f192(a104),f329(a3,f329(a117,f329(a20,x37441))))) % 166.52/166.33 [3763]P45(x37631,f309(x37631,f191(f918(f917(x37631,x37631),a905)))) % 166.52/166.33 [3764]P59(x37641,f309(x37641,f191(f918(f917(x37641,x37641),a905)))) % 166.52/166.33 [3765]E(f329(f312(a1,a910,a109),f329(f312(a910,a1,f105(a1)),x37651)),x37651) % 166.52/166.33 [3796]E(f329(f329(f311(a910),f2(a910)),f329(f312(a910,a910,a117),f329(f285(a910),x37961))),f329(f285(a910),f329(a117,x37961))) % 166.52/166.33 [3803]P62(x38031,x38031,f309(x38031,f191(f918(f917(x38031,x38031),a905)))) % 166.52/166.33 [3809]P1(f329(a196,f329(f81(a1),f329(f105(a1),f329(a117,x38091))))) % 166.52/166.33 [3819]E(f329(f329(f23(f918(a910,a905)),f329(f286(a910),x38191)),f329(f329(f311(a910),x38191),f191(f918(a910,a905)))),f329(f286(a910),f329(a117,x38191))) % 166.52/166.33 [3836]E(f329(f329(f82(a1),f329(f329(f23(a1),a85),x38361)),f329(f329(f23(a1),a85),x38361)),f329(f329(f23(a1),a85),f329(f329(f82(a1),x38361),x38361))) % 166.52/166.33 [3851]E(f329(f329(f311(f918(x38511,a905)),f191(f918(x38511,a905))),f191(f918(f918(x38511,a905),a905))),f329(f310(x38511),f191(f918(x38511,a905)))) % 166.52/166.33 [3879]E(f329(f329(f23(f918(a910,a905)),f329(f306(a910),x38791)),f329(f329(f311(a910),f329(a117,x38791)),f191(f918(a910,a905)))),f329(f306(a910),f329(a117,x38791))) % 166.52/166.33 [3987]E(f329(f108(a910),f329(f329(f82(a1),x39871),x39871)),f329(f329(f88(a910,a910),f329(f108(a910),x39871)),f329(f329(f18(a910,a910,a910),f82(a910)),f5(a910)))) % 166.52/166.33 [4360]P19(x43601,f918(x43601,a905),f329(f329(f8(f918(x43601,a905),f918(f918(x43601,a905),f918(x43601,a905)),x43601),f329(f7(f918(x43601,a905),f918(x43601,a905),f918(x43601,a905)),f23(f918(x43601,a905)))),f329(f329(f7(x43601,f918(x43601,a905),f918(x43601,a905)),f311(x43601)),f191(f918(x43601,a905))))) % 166.52/166.33 [4447]E(f329(f267(f917(a1,a1)),f329(f262(a1,a1,a905),f329(f329(f8(f918(a1,a905),f918(a1,a905),a1),f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f239(a1),x44471)))),f240(a1)))),f110(x44471)) % 166.52/166.33 [4480]E(f329(f267(f917(a1,a1)),f329(f262(a1,a1,a905),f329(f329(f18(a1,f918(a1,a905),f918(a1,a905)),f329(f329(f8(f918(a905,a905),f918(f918(a1,a905),f918(a1,a905)),a1),f8(a905,a905,a1)),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f239(a1),x44801)))),f240(a1)))),f111(x44801)) % 166.52/166.33 [4533]E(f329(f267(f917(f918(x45331,a905),f918(x45331,a905))),f329(f262(f918(x45331,a905),f918(x45331,a905),a905),f329(f329(f7(f918(x45331,a905),f918(f918(x45331,a905),a905),f918(f918(x45331,a905),a905)),f329(f329(f8(f918(f918(x45331,a905),f918(a905,a905)),f918(f918(f918(x45331,a905),a905),f918(f918(x45331,a905),a905)),f918(x45331,a905)),f18(f918(x45331,a905),a905,a905)),f329(f329(f8(f918(f918(x45331,a905),a905),f918(f918(x45331,a905),f918(a905,a905)),f918(x45331,a905)),f329(f8(a905,f918(a905,a905),f918(x45331,a905)),a327)),f240(f918(x45331,a905))))),f62(x45331)))),f316(x45331)) % 166.52/166.33 [4653]~P1(f329(f62(f911(x46531)),f247(f918(f911(x46531),a905)))) % 166.52/166.33 [4665]~P1(f329(f329(f239(a1),f2(a1)),f329(f81(a1),f329(f105(a1),f329(a117,x46651))))) % 166.52/166.33 [3596]E(f329(f329(f23(a1),f329(f329(f82(a1),x35961),a102)),a102),x35961) % 166.52/166.33 [3610]E(f329(f175(a910),f142(a910,f329(f304(a910,f2(a910)),x36101))),f329(f285(a910),x36101)) % 166.52/166.33 [3858]E(f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x38581)),x38581),f329(f329(f23(a1),f329(f329(f82(a1),x38581),x38581)),a102)) % 166.52/166.33 [3906]E(f329(f289(x39061,x39061),f309(x39061,f191(f918(f917(x39061,x39061),a905)))),f309(x39061,f191(f918(f917(x39061,x39061),a905)))) % 166.52/166.33 [3953]P1(f329(f329(f239(a910),x39531),f329(f329(f83(a910),x39531),f329(f329(f83(a910),x39531),x39531)))) % 166.52/166.33 [4223]P1(f329(f62(a910),f329(f267(a910),f329(f329(f7(a910,a910,a905),f239(a910)),x42231)))) % 166.52/166.33 [4224]P1(f329(f62(a910),f329(f267(a910),f329(f329(f7(a910,a910,a905),f240(a910)),x42241)))) % 166.52/166.33 [4496]E(f329(f267(f917(x44961,x44961)),f329(f329(f8(f918(x44961,a905),a905,f917(x44961,x44961)),f89(x44961)),f329(f329(f7(f917(x44961,x44961),f918(x44961,f917(x44961,x44961)),f918(x44961,a905)),f329(f329(f8(f918(f917(x44961,x44961),a905),f918(f918(x44961,f917(x44961,x44961)),f918(x44961,a905)),f917(x44961,x44961)),f8(f917(x44961,x44961),a905,x44961)),a326)),f329(f329(f18(x44961,x44961,f917(x44961,x44961)),f257(x44961,x44961)),f5(x44961))))),f309(x44961,f191(f918(f917(x44961,x44961),a905)))) % 166.52/166.33 [4655]~E(f329(f329(f23(a1),f329(f329(f82(a1),x46551),x46551)),a102),a85) % 166.52/166.33 [4657]~E(f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x46571)),x46571),f2(a1)) % 166.52/166.33 [3998]E(f329(f329(f82(a1),f329(f329(f23(a1),a102),x39981)),f329(f329(f23(a1),a102),x39981)),f329(f329(f23(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x39981),x39981)),a102))) % 166.52/166.33 [4114]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),a102),x41141)),f329(f329(f23(a1),a102),x41141))),a102),f329(f329(f23(a1),a102),f329(f329(f82(a1),x41141),x41141))) % 166.52/166.33 [4146]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f82(a1),x41461),a102)),f329(f329(f82(a1),x41461),a102))),a102),f329(f329(f82(a1),f329(f329(f82(a1),x41461),x41461)),a102)) % 166.52/166.33 [4184]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),a102),x41841)),f329(f329(f23(a1),a102),x41841))),a102),f329(f329(f23(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x41841),x41841)),a102))) % 166.52/166.33 [4281]E(f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x42811),f2(a910))),f191(f918(f917(a910,a910),a905))))),f329(f105(a1),x42811)) % 166.52/166.33 [4291]E(f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),f334(x42911)),f532(x42911))),f191(f918(f917(a910,a910),a905))))),x42911) % 166.52/166.33 [4324]E(f329(f267(a1),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f239(a1),f2(a1)))),x43241)),f329(f312(a910,a1,f105(a1)),f329(f267(a910),f329(f329(f8(a1,a905,a910),x43241),f105(a1))))) % 166.52/166.33 [4368]P47(f329(f267(a1),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f239(a1),f2(a1)))),x43681))) % 166.52/166.33 [4388]P1(f329(f329(f331(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),x43881),f191(f918(f917(a910,a910),a905)))),a73)) % 166.52/166.33 [4393]E(f329(f312(a1,a910,a109),f329(f267(a1),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f239(a1),f2(a1)))),f329(f329(f8(a910,a905,a1),x43931),a109)))),f329(f267(a910),x43931)) % 166.52/166.33 [4548]E(f314(a910,f329(f329(f40(f917(a910,a910),f918(a910,a905)),f329(a112,x45481)),f329(f262(a910,a910,f918(a910,a905)),f329(f329(f7(a910,f918(a910,a905),f918(a910,f918(a910,a905))),f329(f329(f8(f918(a910,f918(f918(a910,a905),f918(a910,a905))),f918(f918(a910,a905),f918(a910,f918(a910,a905))),a910),f7(a910,f918(a910,a905),f918(a910,a905))),f329(f329(f8(f918(a910,a910),f918(a910,f918(f918(a910,a905),f918(a910,a905))),a910),f329(f8(a910,f918(f918(a910,a905),f918(a910,a905)),a910),f311(a910))),f23(a910)))),f191(f918(a910,a905)))))),f329(a109,x45481)) % 166.52/166.33 [4042]E(f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),x40421),x40421)),a102)),a102),f329(f329(f82(a1),x40421),x40421)) % 166.52/166.33 [4092]E(f329(f329(f23(a1),f329(f329(f23(a1),f329(f329(f82(a1),x40921),x40921)),a102)),a102),f329(f329(f82(a1),f329(f329(f23(a1),x40921),a102)),f329(f329(f23(a1),x40921),a102))) % 166.52/166.33 [4297]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f82(a1),f329(f81(a1),x42971)),a102)),f329(f329(f82(a1),f329(f81(a1),x42971)),a102))),a102),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42971),x42971)),a102))) % 166.52/166.33 [4341]E(f329(f329(f82(a910),x43411),f329(f108(a910),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,x43411))) % 166.52/166.33 [4342]E(f329(f329(f83(a910),x43421),f329(f108(a910),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(a910),x43421),x43421)) % 166.52/166.33 [4343]E(f329(f329(f37(a910),f329(f329(f82(a910),x43431),x43431)),f329(f108(a910),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)))),x43431) % 166.52/166.33 [4421]E(f46(a910,f329(a117,f329(a117,x44211)),f329(f108(a910),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)))),f46(a910,x44211,f329(f108(a910),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))))) % 166.52/166.33 [4564]E(f329(a91,f329(f329(f40(f917(a910,a910),f918(f917(a910,a910),a905)),f329(a112,x45641)),f329(f262(a910,a910,f918(f917(a910,a910),a905)),f329(f329(f8(f918(a910,f918(f917(a910,a910),a905)),f918(a910,f918(f917(a910,a910),a905)),a910),f329(f8(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905),a910),f288(f917(a910,a910),f917(a910,a910),a113))),f329(f329(f7(a910,f918(f917(a910,a910),a905),f918(a910,f918(f917(a910,a910),a905))),f329(f329(f8(f918(a910,f918(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f918(f918(f917(a910,a910),a905),f918(a910,f918(f917(a910,a910),a905))),a910),f7(a910,f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f8(f918(a910,f917(a910,a910)),f918(a910,f918(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),a910),f329(f8(f917(a910,a910),f918(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),a910),f311(f917(a910,a910)))),f329(f7(a910,a910,f917(a910,a910)),f257(a910,a910))))),f191(f918(f917(a910,a910),a905))))))),f329(f81(a1),x45641)) % 166.52/166.33 [4416]E(f329(f329(f82(a910),f329(f108(a910),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)))),x44161),f329(a117,f329(a117,x44161))) % 166.52/166.33 [4417]E(f329(f329(f83(a910),f329(f108(a910),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)))),x44171),f329(f329(f82(a910),x44171),x44171)) % 166.52/166.33 [4453]E(f329(f329(f37(a910),f329(a117,f329(a117,x44531))),f329(f108(a910),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(f37(a910),x44531),f329(f108(a910),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)))))) % 166.52/166.33 [4503]E(f329(f329(f82(a910),f329(f108(a910),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))),x45031),f329(a117,f329(a117,f329(a117,x45031)))) % 166.52/166.33 [4571]E(f329(f262(a1,a1,f917(a1,a1)),f329(f329(f18(a1,f918(a1,f917(a1,a1)),f918(a1,f917(a1,a1))),f329(f329(f8(f918(a1,f918(f917(a1,a1),f917(a1,a1))),f918(f918(a1,f917(a1,a1)),f918(a1,f917(a1,a1))),a1),f18(a1,f917(a1,a1),f917(a1,a1))),f329(f329(f8(f918(a1,f917(a1,a1)),f918(a1,f918(f917(a1,a1),f917(a1,a1))),a1),f329(f18(a1,f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),f329(f329(f8(a905,f918(f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),a1),f99(f917(a1,a1))),f329(f329(f8(a1,a905,a1),f329(f239(a1),f2(a1))),f329(f329(f7(a1,a1,a1),f23(a1)),x45711))))),f329(f329(f7(a1,f918(a1,a1),f918(a1,f917(a1,a1))),f329(f329(f8(f918(a1,f917(a1,a1)),f918(f918(a1,a1),f918(a1,f917(a1,a1))),a1),f8(a1,f917(a1,a1),a1)),f329(f329(f8(a1,f918(a1,f917(a1,a1)),a1),f257(a1,a1)),f329(f329(f7(a1,a1,a1),f329(f329(f8(a1,f918(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)),x45711))))),f329(f329(f8(a1,f918(a1,f917(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))))))),f44(x45711)) % 166.52/166.33 [3637]P48(a25,x36371,x36372,x36371) % 166.52/166.33 [3272]P108(f916(x32721,x32722)) % 166.52/166.33 [3273]P108(f917(x32731,x32732)) % 166.52/166.33 [3274]P108(f915(x32741,x32742)) % 166.52/166.33 [3290]P18(a1,f181(x32901,x32902)) % 166.52/166.33 [3291]P43(x32911,f156(x32911,x32912)) % 166.52/166.33 [3292]P44(x32921,f268(x32921,x32922)) % 166.52/166.33 [3293]P44(x32931,f309(x32931,x32932)) % 166.52/166.33 [3294]P45(x32941,f268(x32941,x32942)) % 166.52/166.33 [3295]P59(x32951,f268(x32951,x32952)) % 166.52/166.33 [3360]P37(x33601,x33602,f118(x33601)) % 166.52/166.33 [3393]P60(x33931,x33932,f268(x33931,x33932)) % 166.52/166.33 [3394]P62(x33941,x33941,f268(x33941,x33942)) % 166.52/166.33 [3661]P30(x36611,x36611,f5(x36611),x36612) % 166.52/166.33 [3662]P30(x36621,x36621,f33(x36621),x36622) % 166.52/166.33 [3669]P38(x36691,x36692,f118(x36691),f118(x36691)) % 166.52/166.33 [3678]P30(f911(x36781),f911(x36781),f171(x36781),x36782) % 166.52/166.33 [4082]P31(x40821,x40821,f33(x40821),x40822,x40822) % 166.52/166.33 [4582]~E(f32(x45821,x45822),a25) % 166.52/166.33 [4583]~E(f31(x45831,x45832),a25) % 166.52/166.33 [4613]~P39(x46131,x46132,f118(x46131)) % 166.52/166.33 [4614]~P41(x46141,x46142,f118(x46141)) % 166.52/166.33 [3257]E(f329(f5(x32571),x32572),x32572) % 166.52/166.33 [3258]E(f329(f267(x32581),x32582),x32582) % 166.52/166.33 [3260]E(f329(f33(x32601),x32602),x32602) % 166.52/166.33 [3270]E(f329(f194(x32701),x32702),f120(x32701)) % 166.52/166.33 [3288]E(f87(x32881,f329(a326,x32882)),x32882) % 166.52/166.33 [3289]E(f92(x32891,f329(a326,x32892)),x32892) % 166.52/166.33 [3312]E(f329(f129(x33121,x33122),f124(x33121)),f2(a910)) % 166.52/166.33 [3316]E(f329(f139(x33161,x33162),f118(x33161)),f118(x33161)) % 166.52/166.33 [3336]E(f309(x33361,f309(x33361,x33362)),f309(x33361,x33362)) % 166.52/166.33 [3337]E(f155(x33371,f155(x33371,x33372)),f155(x33371,x33372)) % 166.52/166.33 [3355]E(f329(f329(f137(x33551),x33552),f118(x33551)),x33552) % 166.52/166.33 [3361]E(f176(x33611,x33612,f118(x33611)),x33612) % 166.52/166.33 [3362]E(f176(x33621,f118(x33621),x33622),x33622) % 166.52/166.33 [3363]E(f121(x33631,f124(x33631),x33632),x33632) % 166.52/166.33 [3364]E(f172(x33641,f2(a910),x33642),f118(x33641)) % 166.52/166.33 [3370]E(f329(f329(f178(x33701),x33702),f118(x33701)),f118(x33701)) % 166.52/166.33 [3371]E(f329(f329(f141(x33711),x33712),f118(x33711)),f118(x33711)) % 166.52/166.33 [3373]E(f158(x33731,x33732,f118(x33731)),f2(a910)) % 166.52/166.33 [3375]E(f173(x33751,x33752,f118(x33751)),f118(x33751)) % 166.52/166.33 [3376]E(f180(x33761,x33762,f118(x33761)),f118(x33761)) % 166.52/166.33 [3377]E(f179(x33771,f118(x33771),x33772),f118(x33771)) % 166.52/166.33 [3381]E(f329(f175(x33811),f155(x33811,x33812)),f329(f175(x33811),x33812)) % 166.52/166.33 [3384]E(f329(f287(x33841,x33841),f268(x33841,x33842)),x33842) % 166.52/166.33 [3385]E(f329(f269(x33851,x33851),f268(x33851,x33852)),x33852) % 166.52/166.33 [3392]E(f329(f289(x33921,x33921),f268(x33921,x33922)),f268(x33921,x33922)) % 166.52/166.33 [3405]E(f309(f911(x34051),f160(x34051,x34052)),f161(x34051,f309(x34051,x34052))) % 166.52/166.33 [3407]P1(f329(f140(a1),f181(x34071,x34072))) % 166.52/166.33 [3415]E(f329(f287(x34151,x34151),f309(x34151,x34152)),f247(f918(x34151,a905))) % 166.52/166.33 [3416]E(f329(f269(x34161,x34161),f309(x34161,x34162)),f247(f918(x34161,a905))) % 166.52/166.33 [3420]P1(f329(f140(x34201),f155(x34201,x34202))) % 166.52/166.33 [3422]P1(f329(f163(x34221,x34222),f118(x34221))) % 166.52/166.33 [3429]E(f329(f175(a1),f181(x34291,x34292)),f305(a1,x34291,x34292)) % 166.52/166.33 [3443]P63(x34431,f191(f918(x34431,a905)),x34432) % 166.52/166.33 [3448]E(f329(f261(a1,a1),f47(x34481,x34482)),f46(a1,x34481,x34482)) % 166.52/166.33 [3449]E(f329(f304(a910,x34491),f329(a117,x34492)),f305(a910,x34491,x34492)) % 166.52/166.33 [3465]E(f329(f329(f154(x34651),x34652),f118(x34651)),f143(x34651,x34652,f118(x34651))) % 166.52/166.33 [3477]E(f305(a910,f329(a117,x34771),x34772),f307(a910,x34771,x34772)) % 166.52/166.33 [3480]P60(x34801,f247(f918(x34801,a905)),f309(x34801,x34802)) % 166.52/166.33 [3543]E(f329(f329(f23(a910),x35431),f329(a117,x35432)),f329(f36(a910),f308(a910,x35432,x35431))) % 166.52/166.33 [3597]E(f169(x35971,x35972,f118(x35971)),f329(f329(f257(f911(x35971),f911(x35971)),f118(x35971)),f118(x35971))) % 166.52/166.33 [3615]E(f329(f262(x36151,x36152,f917(x36151,x36152)),f257(x36151,x36152)),f33(f917(x36151,x36152))) % 166.52/166.33 [3619]P1(f329(f329(f331(f911(x36191)),f118(x36191)),f164(x36191,x36192))) % 166.52/166.33 [3620]E(f329(f192(f911(x36201)),f119(x36201,x36202)),f329(f329(f23(a910),f329(f192(f911(x36201)),x36202)),f80(a910))) % 166.52/166.33 [3628]P1(f329(f62(a910),f305(a910,x36281,x36282))) % 166.52/166.33 [3629]P1(f329(f62(a910),f307(a910,x36291,x36292))) % 166.52/166.33 [3630]P1(f329(f62(a910),f308(a910,x36301,x36302))) % 166.52/166.33 [3631]P1(f329(f62(a1),f305(a1,x36311,x36312))) % 166.52/166.33 [3632]P1(f329(f62(a1),f307(a1,x36321,x36322))) % 166.52/166.33 [3633]P1(f329(f62(a1),f308(a1,x36331,x36332))) % 166.52/166.33 [3740]E(f329(f312(a910,a910,a117),f305(a910,x37401,x37402)),f305(a910,f329(a117,x37401),f329(a117,x37402))) % 166.52/166.33 [3759]E(f329(f329(f291(x37591,x37591,x37591),f309(x37591,x37592)),f309(x37591,x37592)),f309(x37591,x37592)) % 166.52/166.33 [3794]E(f329(f329(f257(a1,a1),f329(f329(f37(a1),x37941),x37942)),f46(a1,x37941,x37942)),f47(x37941,x37942)) % 166.52/166.33 [3795]E(f329(f329(f257(a104,a104),f329(f329(f37(a104),x37951),x37952)),f46(a104,x37951,x37952)),f21(x37951,x37952)) % 166.52/166.33 [3823]E(f329(f329(f257(a910,a910),f329(f329(f37(a910),x38231),x38232)),f46(a910,x38231,x38232)),f87(f917(a910,a910),f49(x38231,x38232))) % 166.52/166.33 [3875]P1(f329(f329(f240(a910),f329(f329(f23(a910),x38751),x38752)),f329(a117,x38751))) % 166.52/166.33 [3925]P44(x39251,f329(f329(f291(x39251,x39251,x39251),x39252),f309(x39251,x39252))) % 166.52/166.33 [3974]E(f329(f329(f82(a1),f329(f329(f83(a1),x39741),f329(f329(f37(a1),x39742),x39741))),f46(a1,x39742,x39741)),x39742) % 166.52/166.33 [3978]E(f329(f329(f40(a910,f918(f917(f911(x39781),f911(x39781)),a905)),f247(f918(a910,a905))),f146(x39781,x39782)),f148(x39781,x39782)) % 166.52/166.33 [4200]P1(f329(f329(f331(f917(f911(x42001),f911(x42001))),f329(f329(f257(f911(x42001),f911(x42001)),f118(x42001)),f118(x42001))),f161(x42001,x42002))) % 166.52/166.33 [4309]E(f258(x43091,x43091,x43091,a326,f258(x43091,x43091,x43091,x43092,a326)),x43092) % 166.52/166.33 [4353]E(f263(x43531,x43531,x43532,x43532,f5(x43531),f5(x43532)),f33(f917(x43531,x43532))) % 166.52/166.33 [4355]E(f263(x43551,x43551,x43552,x43552,f33(x43551),f33(x43552)),f33(f917(x43551,x43552))) % 166.52/166.33 [3354]E(f329(f171(x33541),f329(f171(x33541),x33542)),x33542) % 166.52/166.33 [3356]E(f329(f329(f141(x33561),f2(a910)),x33562),x33562) % 166.52/166.33 [3372]E(f329(f329(f178(x33721),f2(a910)),x33722),f118(x33721)) % 166.52/166.33 [3379]E(f329(f329(f137(x33791),f118(x33791)),x33792),x33792) % 166.52/166.33 [3388]E(f38(f918(x33881,a905),f329(f310(x33881),x33882)),x33882) % 166.52/166.33 [3390]E(f329(f175(x33901),f329(f170(x33901),x33902)),f329(f175(x33901),x33902)) % 166.52/166.33 [3391]E(f329(f175(x33911),f329(f171(x33911),x33912)),f329(f175(x33911),x33912)) % 166.52/166.33 [3396]E(f329(f329(f23(a104),x33961),x33962),f329(f329(a24,x33961),x33962)) % 166.52/166.33 [3409]E(f329(f329(f82(a910),x34091),x34092),f329(f329(f82(a910),x34092),x34091)) % 166.52/166.33 [3410]E(f329(f329(f82(a1),x34101),x34102),f329(f329(f82(a1),x34102),x34101)) % 166.52/166.33 [3411]E(f329(f329(f83(a910),x34111),x34112),f329(f329(f83(a910),x34112),x34111)) % 166.52/166.33 [3412]E(f329(f329(f83(a1),x34121),x34122),f329(f329(f83(a1),x34122),x34121)) % 166.52/166.33 [3435]E(f329(f329(f186(x34351,x34351),f2(a910)),x34352),f33(x34351)) % 166.52/166.33 [3436]E(f329(f192(f911(x34361)),f329(f170(x34361),x34362)),f329(f192(f911(x34361)),x34362)) % 166.52/166.33 [3437]E(f329(f192(f911(x34371)),f329(f171(x34371),x34372)),f329(f192(f911(x34371)),x34372)) % 166.52/166.33 [3438]E(f179(x34381,x34382,f191(f918(a910,a905))),f118(x34381)) % 166.52/166.33 [3439]E(f329(f329(f157(x34391,x34391),f5(x34391)),x34392),x34392) % 166.52/166.33 [3441]E(f329(f256(a1,a1),f47(x34411,x34412)),f329(f329(f37(a1),x34411),x34412)) % 166.52/166.33 [3458]E(f329(f192(f911(x34581)),f155(x34581,x34582)),f329(f36(x34581),f329(f175(x34581),x34582))) % 166.52/166.33 [3459]E(f30(f31(x34591,x34592)),f329(f329(f82(a910),f30(x34592)),f329(a117,f2(a910)))) % 166.52/166.33 [3460]E(f329(f284(x34601),f329(f289(x34601,x34601),x34602)),f329(f284(x34601),x34602)) % 166.52/166.33 [3464]P1(f329(f62(x34641),f329(f175(x34641),x34642))) % 166.52/166.33 [3472]E(f329(f329(f82(a1),x34721),f329(f81(a1),x34722)),f329(f329(f23(a1),x34721),x34722)) % 166.52/166.33 [3479]P29(x34791,x34792,f191(f918(f909(x34791),a905))) % 166.52/166.33 [3481]E(f329(f312(x34811,x34811,f5(x34811)),x34812),x34812) % 166.52/166.33 [3482]E(f329(f312(x34821,x34821,f33(x34821)),x34822),x34822) % 166.52/166.33 [3483]E(f329(f313(x34831,x34831,f5(x34831)),x34832),x34832) % 166.52/166.33 [3484]E(f329(f313(x34841,x34841,f33(x34841)),x34842),x34842) % 166.52/166.33 [3485]P1(f329(f247(f918(x34851,a905)),x34852)) % 166.52/166.33 [3487]E(f329(f36(a910),f329(f304(a910,x34871),x34872)),f329(f329(f23(a910),x34872),x34871)) % 166.52/166.33 [3488]E(f329(f304(a910,f329(a117,x34881)),x34882),f308(a910,x34881,x34882)) % 166.52/166.33 [3501]E(f329(f329(f311(x35011),x35012),f191(f918(x35011,a905))),f329(f267(x35011),f329(a326,x35012))) % 166.52/166.33 [3506]E(f309(x35061,f329(f289(x35061,x35061),x35062)),f329(f289(x35061,x35061),f309(x35061,x35062))) % 166.52/166.33 [3511]E(f329(f329(f82(a910),f329(a117,x35111)),x35112),f329(f329(f82(a910),x35111),f329(a117,x35112))) % 166.52/166.33 [3512]E(f329(f329(f23(a910),f329(a117,x35121)),f329(a117,x35122)),f329(f329(f23(a910),x35121),x35122)) % 166.52/166.33 [3518]E(f56(x35181,f2(a910),x35182),f329(f329(f154(f911(x35181)),f118(x35181)),f118(f911(x35181)))) % 166.52/166.33 [3519]E(f329(f36(a910),f307(a910,x35191,x35192)),f329(f329(f23(a910),x35192),x35191)) % 166.52/166.33 [3528]P43(x35281,f329(f329(f290(a910,x35281),a245),x35282)) % 166.52/166.33 [3530]P18(a910,f142(a910,f329(f304(a910,x35301),x35302))) % 166.52/166.33 [3532]P1(f329(f62(a910),f329(f304(a910,x35321),x35322))) % 166.52/166.33 [3533]P1(f329(f62(a1),f329(f304(a1,x35331),x35332))) % 166.52/166.33 [3536]E(f329(f289(f911(x35361),f911(x35361)),f160(x35361,x35362)),f160(x35361,f329(f289(x35361,x35361),x35362))) % 166.52/166.33 [3537]E(f329(f192(a907),f31(x35371,x35372)),f329(f329(f82(a910),f329(f192(a907),x35372)),f329(a117,f2(a910)))) % 166.52/166.33 [3539]E(f329(f304(a1,x35391),f329(f329(f82(a1),x35392),f80(a1))),f305(a1,x35391,x35392)) % 166.52/166.33 [3542]E(f329(f329(f37(a1),f329(f81(a1),x35421)),f329(f81(a1),x35422)),f329(f329(f37(a1),x35421),x35422)) % 166.52/166.33 [3550]E(f329(f329(f186(f917(x35501,x35501),a905),f80(a910)),x35502),x35502) % 166.52/166.33 [3552]E(f329(f329(f115(f918(x35521,a905)),x35522),f191(f918(x35521,a905))),x35522) % 166.52/166.33 [3553]E(f329(f329(f23(f918(x35531,a905)),x35532),f191(f918(x35531,a905))),x35532) % 166.52/166.33 [3554]E(f329(f329(f106(f918(x35541,a905)),x35542),f247(f918(x35541,a905))),x35542) % 166.52/166.33 [3555]E(f329(f256(a910,a910),f87(f917(a910,a910),f49(x35551,x35552))),f329(f329(f37(a910),x35551),x35552)) % 166.52/166.33 [3562]E(f305(a1,f329(f329(f82(a1),x35621),f80(a1)),x35622),f307(a1,x35621,x35622)) % 166.52/166.33 [3567]E(f329(f261(a910,a910),f87(f917(a910,a910),f49(x35671,x35672))),f46(a910,x35671,x35672)) % 166.52/166.33 [3577]P1(f329(f329(f331(x35771),x35772),f247(f918(x35771,a905)))) % 166.52/166.33 [3581]E(f329(f329(f23(a910),f329(a117,x35811)),x35812),f329(f36(a910),f305(a910,x35812,x35811))) % 166.52/166.33 [3606]E(f329(f329(f115(f918(x36061,a905)),x36062),f247(f918(x36061,a905))),f247(f918(x36061,a905))) % 166.52/166.33 [3607]E(f329(f329(f23(f918(x36071,a905)),x36072),f247(f918(x36071,a905))),f191(f918(x36071,a905))) % 166.52/166.33 [3608]E(f329(f329(f106(f918(x36081,a905)),x36082),f191(f918(x36081,a905))),f191(f918(x36081,a905))) % 166.52/166.33 [3623]E(f46(a1,f329(f105(a1),x36231),f329(f105(a1),x36232)),f329(f105(a1),f46(a910,x36231,x36232))) % 166.52/166.33 [3624]E(f46(a1,f329(f81(a1),x36241),f329(f81(a1),x36242)),f329(f81(a1),f46(a1,x36241,x36242))) % 166.52/166.33 [3635]E(f329(f192(f911(x36351)),f329(f174(x36351),x36352)),f329(f329(f23(a910),f329(f192(f911(x36351)),x36352)),f80(a910))) % 166.52/166.33 [3663]E(f329(f329(f37(a1),f46(a1,x36631,x36632)),x36632),f2(a1)) % 166.52/166.33 [3671]E(f329(a3,f46(a910,f329(a20,x36711),f329(a20,x36712))),f46(a104,x36711,x36712)) % 166.52/166.33 [3706]E(f329(a3,f329(f329(f82(a910),f329(a20,x37061)),f329(a20,x37062))),f329(f329(f82(a104),x37061),x37062)) % 166.52/166.33 [3707]E(f329(a3,f329(f329(f23(a910),f329(a20,x37071)),f329(a20,x37072))),f329(f329(f23(a104),x37071),x37072)) % 166.52/166.33 [3708]E(f329(a3,f329(f329(f83(a910),f329(a20,x37081)),f329(a20,x37082))),f329(f329(f83(a104),x37081),x37082)) % 166.52/166.33 [3709]E(f329(a3,f329(f329(f37(a910),f329(a20,x37091)),f329(a20,x37092))),f329(f329(f37(a104),x37091),x37092)) % 166.52/166.33 [3718]E(f329(f312(a910,a910,a117),f329(f304(a910,x37181),x37182)),f329(f304(a910,f329(a117,x37181)),f329(a117,x37182))) % 166.52/166.33 [3745]P1(f329(f49(x37451,x37452),f87(f917(a910,a910),f49(x37451,x37452)))) % 166.52/166.33 [3768]E(f329(f329(f82(a910),f329(f329(f82(a910),f30(x37681)),f30(x37682))),f329(a117,f2(a910))),f30(f32(x37681,x37682))) % 166.52/166.33 [3769]E(f46(a910,f329(a117,f46(a910,x37691,x37692)),x37692),f46(a910,f329(a117,x37691),x37692)) % 166.52/166.33 [3781]E(f329(f329(f41(f918(x37811,a905),f918(x37811,a905)),x37812),f5(f918(x37811,a905))),f39(f918(x37811,a905),x37812)) % 166.52/166.33 [3782]E(f329(f329(f40(f918(x37821,a905),f918(x37821,a905)),x37822),f5(f918(x37821,a905))),f38(f918(x37821,a905),x37822)) % 166.52/166.33 [3783]E(f329(f312(f911(x37831),f918(x37831,a905),f175(x37831)),f329(f175(f911(x37831)),f55(x37831,x37832))),f329(f310(x37831),f329(f175(x37831),x37832))) % 166.52/166.33 [3787]P1(f329(f329(f331(f918(x37871,a905)),x37872),f329(f310(x37871),x37872))) % 166.52/166.33 [3793]E(f46(a1,f329(f81(a1),f46(a1,x37931,x37932)),x37932),f46(a1,f329(f81(a1),x37931),x37932)) % 166.52/166.33 [3805]P1(f329(f329(f239(f918(x38051,a905)),x38052),f247(f918(x38051,a905)))) % 166.52/166.33 [3807]E(f329(f329(f291(x38071,x38071,x38071),f309(x38071,x38072)),f309(x38071,f309(x38071,x38072))),f309(x38071,x38072)) % 166.52/166.33 [3808]E(f329(f329(f115(f918(x38081,a905)),f329(f269(x38081,x38081),x38082)),f329(f287(x38081,x38081),x38082)),f329(f284(x38081),x38082)) % 166.52/166.33 [3829]E(f315(x38291,x38292,f247(f918(x38291,a905)),f247(f918(x38292,a905))),f247(f918(f916(x38291,x38292),a905))) % 166.52/166.33 [3880]P1(f329(f329(f239(a910),f46(a910,x38801,x38802)),x38801)) % 166.52/166.33 [3904]P1(f329(f329(f239(a1),f329(f81(a1),f329(f105(a1),x39041))),f329(f105(a1),x39042))) % 166.52/166.33 [3930]P1(f329(f329(f331(f918(x39301,a905)),f191(f918(x39301,a905))),f329(f310(x39301),x39302))) % 166.52/166.33 [3935]E(f309(x39351,f329(f329(f291(x39351,x39351,x39351),x39352),f309(x39351,x39352))),f309(x39351,x39352)) % 166.52/166.33 [3938]E(f329(f329(f291(x39381,x39381,x39381),f309(x39381,x39382)),x39382),f329(f329(f291(x39381,x39381,x39381),x39382),f309(x39381,x39382))) % 166.52/166.33 [3940]E(f329(a109,f329(f329(f82(a1),f329(f329(f23(a1),x39401),x39402)),f80(a1))),f329(f36(a1),f305(a1,x39402,x39401))) % 166.52/166.33 [3954]E(f329(f287(x39541,x39541),f329(f329(f291(x39541,x39541,x39541),x39542),f309(x39541,x39542))),f329(f287(x39541,x39541),x39542)) % 166.52/166.33 [3955]E(f329(f269(x39551,x39551),f329(f329(f291(x39551,x39551,x39551),x39552),f309(x39551,x39552))),f329(f269(x39551,x39551),x39552)) % 166.52/166.33 [3970]E(f329(f329(f82(a910),f329(f329(f82(a910),f329(f192(a907),x39701)),f329(f192(a907),x39702))),f329(a117,f2(a910))),f329(f192(a907),f32(x39701,x39702))) % 166.52/166.33 [3973]E(f329(f145(f911(x39731),f911(x39731),f137(x39731),f118(x39731)),f172(f911(x39731),x39732,f118(x39731))),f118(x39731)) % 166.52/166.33 [3982]P30(a910,a910,f329(f329(f7(a910,a910,a910),f82(a910)),x39821),x39822) % 166.52/166.33 [3984]P18(a910,f329(f171(a910),f329(f329(f157(f911(x39841),a910),f192(f911(x39841))),f182(x39841,x39842)))) % 166.52/166.33 [4015]P59(x40151,f329(f329(f115(f918(f917(x40151,x40151),a905)),x40152),f329(f289(x40151,x40151),x40152))) % 166.52/166.33 [4016]P59(x40161,f329(f329(f106(f918(f917(x40161,x40161),a905)),x40162),f329(f289(x40161,x40161),x40162))) % 166.52/166.33 [4027]P1(f329(f329(f240(a1),f329(f81(a1),f329(f105(a1),f329(a117,x40271)))),f329(f105(a1),x40272))) % 166.52/166.33 [4071]E(f329(f145(f911(x40711),x40711,f329(f7(x40711,f911(x40711),f911(x40711)),f154(x40711)),f118(x40711)),x40712),f329(f171(x40711),x40712)) % 166.52/166.33 [4121]P1(f329(f329(f239(f918(f917(f911(x41211),f911(x41211)),a905)),f161(x41211,x41212)),f309(f911(x41211),f160(x41211,x41212)))) % 166.52/166.33 [4150]P1(f329(f49(x41501,x41502),f329(f329(f257(a910,a910),f329(f329(f37(a910),x41501),x41502)),f46(a910,x41501,x41502)))) % 166.52/166.33 [4162]P1(f329(f329(f239(f918(f917(f911(x41621),f911(x41621)),a905)),f160(x41621,f309(x41621,x41622))),f309(f911(x41621),f160(x41621,x41622)))) % 166.52/166.33 [4378]E(f329(f329(f264(f917(a104,a104),a104,f917(a104,a104),f917(x43781,f917(a104,a104))),f272(f329(f168(a104),f329(f329(f157(f917(a104,x43781),a104),f256(a104,x43781)),x43782)))),f329(f329(f8(x43781,f918(f917(a104,a104),f917(x43781,f917(a104,a104))),a104),f257(x43781,f917(a104,a104))),f273(x43781,x43782))),f271(x43781,x43782)) % 166.52/166.33 [4455]E(f227(a910,f917(x44551,f912(x44551)),f2(a910),f329(f262(x44551,f912(x44551),a910),f329(f16(f918(f912(x44551),a910),x44551),f329(f329(f7(f912(x44551),a910,a910),f329(f329(f8(a910,f918(a910,a910),f912(x44551)),f82(a910)),f192(f912(x44551)))),f80(a910)))),f329(f138(x44551),x44552)),f329(f192(f912(x44551)),x44552)) % 166.52/166.33 [4563]E(f329(f262(f918(f917(x45631,x45631),a905),f918(f917(x45631,x45631),a905),f918(f918(x45632,x45631),f917(f918(f917(x45632,x45632),a905),f918(f917(x45632,x45632),a905)))),f329(f329(f7(f918(f917(x45631,x45631),a905),f918(f918(f917(x45631,x45631),a905),f918(f918(x45632,x45631),f918(f917(x45632,x45632),a905))),f918(f918(f917(x45631,x45631),a905),f918(f918(x45632,x45631),f917(f918(f917(x45632,x45632),a905),f918(f917(x45632,x45632),a905))))),f329(f329(f8(f918(f918(f918(x45632,x45631),f918(f917(x45632,x45632),a905)),f918(f918(x45632,x45631),f917(f918(f917(x45632,x45632),a905),f918(f917(x45632,x45632),a905)))),f918(f918(f918(f917(x45631,x45631),a905),f918(f918(x45632,x45631),f918(f917(x45632,x45632),a905))),f918(f918(f917(x45631,x45631),a905),f918(f918(x45632,x45631),f917(f918(f917(x45632,x45632),a905),f918(f917(x45632,x45632),a905))))),f918(f917(x45631,x45631),a905)),f8(f918(f918(x45632,x45631),f918(f917(x45632,x45632),a905)),f918(f918(x45632,x45631),f917(f918(f917(x45632,x45632),a905),f918(f917(x45632,x45632),a905))),f918(f917(x45631,x45631),a905))),f329(f329(f8(f918(f918(x45632,x45631),f918(f918(f917(x45632,x45632),a905),f917(f918(f917(x45632,x45632),a905),f918(f917(x45632,x45632),a905)))),f918(f918(f918(x45632,x45631),f918(f917(x45632,x45632),a905)),f918(f918(x45632,x45631),f917(f918(f917(x45632,x45632),a905),f918(f917(x45632,x45632),a905)))),f918(f917(x45631,x45631),a905)),f18(f918(x45632,x45631),f918(f917(x45632,x45632),a905),f917(f918(f917(x45632,x45632),a905),f918(f917(x45632,x45632),a905)))),f329(f329(f8(f918(f918(x45632,x45631),f918(f917(x45632,x45632),a905)),f918(f918(x45632,x45631),f918(f918(f917(x45632,x45632),a905),f917(f918(f917(x45632,x45632),a905),f918(f917(x45632,x45632),a905)))),f918(f917(x45631,x45631),a905)),f329(f8(f918(f917(x45632,x45632),a905),f918(f918(f917(x45632,x45632),a905),f917(f918(f917(x45632,x45632),a905),f918(f917(x45632,x45632),a905))),f918(x45632,x45631)),f257(f918(f917(x45632,x45632),a905),f918(f917(x45632,x45632),a905)))),f290(x45631,x45632))))),f290(x45631,x45632))),f75(x45631,x45632)) % 166.52/166.33 [4637]~E(f329(f310(x46371),x46372),f191(f918(f918(x46371,a905),a905))) % 166.52/166.33 [4648]~P1(f329(f329(f175(x46481),f118(x46481)),x46482)) % 166.52/166.33 [4652]~P1(f329(f329(f331(x46521),x46522),f191(f918(x46521,a905)))) % 166.52/166.33 [4660]~P1(f329(f329(f240(f918(x46601,a905)),x46602),f191(f918(x46601,a905)))) % 166.52/166.33 [3490]E(f329(f329(f23(a910),x34901),f329(f329(f82(a910),x34901),x34902)),f2(a910)) % 166.52/166.33 [3493]E(f329(f329(f115(f918(x34931,a905)),x34932),x34932),x34932) % 166.52/166.33 [3494]E(f329(f329(f106(f918(x34941,a905)),x34942),x34942),x34942) % 166.52/166.33 [3522]E(f329(f329(f23(f918(x35221,a905)),x35222),x35222),f191(f918(x35221,a905))) % 166.52/166.33 [3525]E(f329(f146(x35251,x35252),f2(a910)),f191(f918(f917(f911(x35251),f911(x35251)),a905))) % 166.52/166.33 [3526]E(f329(f329(f82(a910),x35261),f329(a117,x35262)),f329(a117,f329(f329(f82(a910),x35261),x35262))) % 166.52/166.33 [3538]E(f198(f329(f105(a1),x35381),f329(f105(a1),x35382)),f329(f105(a1),f329(f329(f23(a910),x35381),x35382))) % 166.52/166.33 [3541]E(f329(f329(f37(a1),f329(f81(a1),x35411)),x35412),f329(f329(f37(a1),x35411),f329(f81(a1),x35412))) % 166.52/166.33 [3545]E(f329(f36(a1),f329(f304(a1,x35451),x35452)),f329(a109,f329(f329(f23(a1),x35452),x35451))) % 166.52/166.33 [3548]E(f329(f329(f82(a910),f329(a117,x35481)),x35482),f329(a117,f329(f329(f82(a910),x35481),x35482))) % 166.52/166.33 [3551]E(f329(f81(f918(x35511,a905)),f329(f81(f918(x35511,a905)),x35512)),x35512) % 166.52/166.33 [3564]E(f182(x35641,f329(f329(f154(f911(x35641)),f118(x35641)),x35642)),f182(x35641,x35642)) % 166.52/166.33 [3568]E(f329(f329(f82(a910),x35681),f329(f329(f83(a910),x35681),x35682)),f329(f329(f83(a910),x35681),f329(a117,x35682))) % 166.52/166.33 [3575]E(f329(f329(a24,f329(a3,x35751)),f329(a3,x35752)),f329(a3,f329(f329(f23(a910),x35751),x35752))) % 166.52/166.33 [3588]E(f329(f329(f83(a1),f329(f81(a1),x35881)),x35882),f329(f81(a1),f329(f329(f83(a1),x35881),x35882))) % 166.52/166.33 [3590]E(f329(f329(f249(a1),f329(f105(a1),x35901)),x35902),f329(f105(a1),f329(f329(f249(a910),x35901),x35902))) % 166.52/166.33 [3591]E(f329(f329(f82(a104),f329(a3,x35911)),f329(a3,x35912)),f329(a3,f329(f329(f82(a910),x35911),x35912))) % 166.52/166.33 [3592]E(f329(f329(f83(a104),f329(a3,x35921)),f329(a3,x35922)),f329(a3,f329(f329(f83(a910),x35921),x35922))) % 166.52/166.33 [3593]E(f329(f329(f237(a910),f329(a117,x35931)),f329(a117,x35932)),f329(a117,f329(f329(f237(a910),x35931),x35932))) % 166.52/166.33 [3594]E(f329(f329(f238(a910),f329(a117,x35941)),f329(a117,x35942)),f329(a117,f329(f329(f238(a910),x35941),x35942))) % 166.52/166.33 [3599]E(f329(f175(a910),f142(a910,f329(f304(a910,x35991),x35992))),f329(f304(a910,x35991),x35992)) % 166.52/166.33 [3600]E(f314(x36001,f329(f329(f311(x36001),x36002),f191(f918(x36001,a905)))),x36002) % 166.52/166.33 [3604]E(f329(f287(x36041,x36042),f191(f918(f917(x36041,x36042),a905))),f191(f918(x36042,a905))) % 166.52/166.33 [3605]E(f329(f269(x36051,x36052),f191(f918(f917(x36051,x36052),a905))),f191(f918(x36051,a905))) % 166.52/166.33 [3609]E(f329(a109,f329(f329(f23(a1),x36091),x36092)),f329(f36(a1),f307(a1,x36092,x36091))) % 166.52/166.33 [3614]E(f329(f329(f82(a910),x36141),f329(f329(f83(a910),x36142),x36141)),f329(f329(f83(a910),f329(a117,x36142)),x36141)) % 166.52/166.33 [3616]E(f329(f329(f61(x36161),f191(f918(x36161,a905))),x36162),f191(f918(f918(x36161,a905),a905))) % 166.52/166.33 [3625]E(f329(f192(f911(a910)),f142(a910,f329(f304(a910,x36251),x36252))),f329(f329(f23(a910),x36252),x36251)) % 166.52/166.33 [3642]E(f329(f329(f115(f918(x36421,a905)),f191(f918(x36421,a905))),x36422),x36422) % 166.52/166.33 [3643]E(f329(f329(f106(f918(x36431,a905)),f247(f918(x36431,a905))),x36432),x36432) % 166.52/166.33 [3646]E(f329(f329(f82(a1),f329(f81(a1),x36461)),f329(f81(a1),x36462)),f329(f81(a1),f329(f329(f82(a1),x36461),x36462))) % 166.52/166.33 [3649]E(f329(f329(f82(a1),f329(f105(a1),x36491)),f329(f105(a1),x36492)),f329(f105(a1),f329(f329(f82(a910),x36491),x36492))) % 166.52/166.33 [3650]E(f329(f329(f82(a1),f329(f108(a1),x36501)),f329(f108(a1),x36502)),f329(f108(a1),f329(f329(f82(a1),x36501),x36502))) % 166.52/166.33 [3652]E(f329(f329(f83(a1),f329(f105(a1),x36521)),f329(f105(a1),x36522)),f329(f105(a1),f329(f329(f83(a910),x36521),x36522))) % 166.52/166.33 [3653]E(f329(f329(f83(a1),f329(f108(a1),x36531)),f329(f108(a1),x36532)),f329(f108(a1),f329(f329(f83(a1),x36531),x36532))) % 166.52/166.33 [3654]E(f329(f329(f37(a1),f329(f105(a1),x36541)),f329(f105(a1),x36542)),f329(f105(a1),f329(f329(f37(a910),x36541),x36542))) % 166.52/166.33 [3672]E(f329(f329(f6(x36721,a910),f329(f16(a910,x36721),f80(a910))),x36722),f329(f36(x36721),x36722)) % 166.52/166.33 [3679]E(f329(f81(a1),f46(a1,f329(f81(a1),x36791),x36792)),f46(a1,x36791,f329(f81(a1),x36792))) % 166.52/166.33 [3681]E(f329(f175(a1),f181(x36811,f329(f329(f23(a1),x36812),f80(a1)))),f329(f304(a1,x36811),x36812)) % 166.52/166.33 [3685]P1(f329(f329(f239(a910),x36851),f329(f329(f82(a910),x36852),x36851))) % 166.52/166.33 [3686]P1(f329(f329(f239(a910),x36861),f329(f329(f82(a910),x36861),x36862))) % 166.52/166.33 [3689]E(f329(f329(f115(f918(x36891,a905)),f247(f918(x36891,a905))),x36892),f247(f918(x36891,a905))) % 166.52/166.33 [3690]E(f329(f329(f23(f918(x36901,a905)),f191(f918(x36901,a905))),x36902),f191(f918(x36901,a905))) % 166.52/166.33 [3691]E(f329(f329(f106(f918(x36911,a905)),f191(f918(x36911,a905))),x36912),f191(f918(x36911,a905))) % 166.52/166.33 [3698]E(f329(f329(f257(a1,a1),x36981),f329(f81(a1),x36982)),f329(a52,f329(f329(f257(a1,a1),x36981),x36982))) % 166.52/166.33 [3699]E(f329(f304(a1,f329(f329(f82(a1),x36991),f80(a1))),x36992),f308(a1,x36991,x36992)) % 166.52/166.33 [3710]E(f329(f329(f83(a910),x37101),f329(f329(f37(a910),x37102),x37101)),f329(f329(f23(a910),x37102),f46(a910,x37102,x37101))) % 166.52/166.33 [3711]E(f329(f329(f83(a1),x37111),f329(f329(f37(a1),x37112),x37111)),f329(f329(f23(a1),x37112),f46(a1,x37112,x37111))) % 166.52/166.33 [3715]E(f329(f175(a1),f181(f329(f329(f82(a1),x37151),f80(a1)),x37152)),f307(a1,x37151,x37152)) % 166.52/166.33 [3719]P1(f329(f329(f239(f918(x37191,a905)),x37192),x37192)) % 166.52/166.33 [3722]E(f329(f329(f115(f918(x37221,a905)),x37222),f329(f81(f918(x37221,a905)),x37222)),f247(f918(x37221,a905))) % 166.52/166.33 [3723]E(f329(f329(f106(f918(x37231,a905)),x37232),f329(f81(f918(x37231,a905)),x37232)),f191(f918(x37231,a905))) % 166.52/166.33 [3731]E(f329(f329(f23(a910),f329(f329(f23(a910),x37311),f80(a910))),x37312),f329(f329(f23(a910),x37311),f329(a117,x37312))) % 166.52/166.33 [3737]E(f329(f329(f23(f918(x37371,a905)),f247(f918(x37371,a905))),x37372),f329(f81(f918(x37371,a905)),x37372)) % 166.52/166.33 [3738]E(f329(f329(f23(a1),f329(f108(a1),x37381)),f329(f108(a1),x37382)),f329(f108(a1),f329(f329(f82(a1),x37381),f329(f81(a1),x37382)))) % 166.52/166.33 [3751]E(f329(f175(a910),f142(a910,f329(f304(a910,x37511),f329(a117,x37512)))),f305(a910,x37511,x37512)) % 166.52/166.33 [3766]E(f329(f192(f911(f911(x37661))),f55(x37661,x37662)),f329(f329(f249(a910),f329(a117,f329(a117,f2(a910)))),f329(f192(f911(x37661)),x37662))) % 166.52/166.33 [3785]E(f329(f329(f186(f917(x37851,x37851),a905),f2(a910)),x37852),f309(x37851,f191(f918(f917(x37851,x37851),a905)))) % 166.52/166.33 [3789]P1(f329(f140(a910),f142(a910,f329(f304(a910,x37891),x37892)))) % 166.52/166.33 [3806]E(f329(f312(a1,a910,a109),f305(a1,f329(f105(a1),x38061),f329(f105(a1),x38062))),f305(a910,x38061,x38062)) % 166.52/166.33 [3815]E(f188(a910,f2(a910),f5(a910),f329(f329(f23(a910),x38151),x38152)),f329(f329(f23(a910),x38151),f329(a117,x38152))) % 166.52/166.33 [3816]E(f329(a109,f329(f329(f23(a1),x38161),f329(f329(f82(a1),x38162),f80(a1)))),f329(f36(a1),f308(a1,x38162,x38161))) % 166.52/166.33 [3852]E(f329(f329(f157(a910,a910),a117),f142(a910,f329(f304(a910,x38521),x38522))),f142(a910,f329(f304(a910,f329(a117,x38521)),f329(a117,x38522)))) % 166.52/166.33 [3860]E(f329(f175(a1),f181(f329(f329(f82(a1),x38601),f80(a1)),f329(f329(f23(a1),x38602),f80(a1)))),f308(a1,x38601,x38602)) % 166.52/166.33 [3872]P1(f329(f329(f239(f918(x38721,a905)),f191(f918(x38721,a905))),x38722)) % 166.52/166.33 [3876]E(f87(x38761,f329(f329(f7(x38761,x38761,a905),a326),x38762)),x38762) % 166.52/166.33 [3877]E(f92(x38771,f329(f329(f7(x38771,x38771,a905),a326),x38772)),x38772) % 166.52/166.33 [3881]E(f329(f175(a910),f142(a910,f329(f304(a910,f329(a117,x38811)),f329(a117,x38812)))),f307(a910,x38811,x38812)) % 166.52/166.33 [3907]E(f329(f329(f259(x39071,x39072),f247(f918(x39071,a905))),f329(f16(f918(x39072,a905),x39071),f247(f918(x39072,a905)))),f247(f918(f917(x39071,x39072),a905))) % 166.52/166.33 [3942]E(f329(f267(x39421),f329(f329(f8(a905,a905,x39421),a324),x39422)),f329(f81(f918(x39421,a905)),f329(f267(x39421),x39422))) % 166.52/166.33 [3945]E(f329(f267(x39451),f329(f329(f7(x39451,x39451,a905),a326),x39452)),f329(f329(f311(x39451),x39452),f191(f918(x39451,a905)))) % 166.52/166.33 [3951]E(f329(f329(f82(a1),f329(f329(f82(a1),x39511),x39511)),f329(f329(f82(a1),x39512),x39512)),f329(f329(f82(a1),f329(f329(f82(a1),x39511),x39512)),f329(f329(f82(a1),x39511),x39512))) % 166.52/166.33 [3952]E(f329(f329(f23(a1),f329(f329(f82(a1),x39521),x39521)),f329(f329(f82(a1),x39522),x39522)),f329(f329(f82(a1),f329(f329(f23(a1),x39521),x39522)),f329(f329(f23(a1),x39521),x39522))) % 166.52/166.33 [3967]P1(f329(f329(f239(a910),f329(f36(x39671),f329(f175(x39671),x39672))),f329(f192(f911(x39671)),x39672))) % 166.52/166.33 [3968]P1(f329(f329(f239(a910),f329(f192(f911(x39681)),f155(x39681,x39682))),f329(f192(f911(x39681)),x39682))) % 166.52/166.33 [3979]E(f329(f267(x39791),f329(f329(f7(x39791,f918(x39791,a905),a905),f331(x39791)),x39792)),x39792) % 166.52/166.33 [3993]E(f329(f329(f178(x39931),f329(f329(f23(a910),f329(f192(f911(x39931)),x39932)),f80(a910))),x39932),f119(x39931,x39932)) % 166.52/166.33 [4014]E(f188(a910,f2(a910),f329(f329(f8(a910,a910,a910),a117),f329(f237(a910),x40141)),x40142),f329(f329(f237(a910),f329(a117,x40141)),x40142)) % 166.52/166.33 [4019]E(f38(f918(x40191,a905),f329(f312(f918(f917(x40191,x40191),a905),f918(x40191,a905),f284(x40191)),x40192)),f329(f284(x40191),f38(f918(f917(x40191,x40191),a905),x40192))) % 166.52/166.33 [4020]E(f188(a910,f329(a117,x40201),f329(f329(f8(a910,a910,a910),a117),f329(f238(a910),x40201)),x40202),f329(f329(f238(a910),f329(a117,x40201)),x40202)) % 166.52/166.33 [4022]E(f329(f329(f257(a1,a1),f329(f329(f37(a1),f329(f77(a1),x40221)),f329(f77(a1),x40222))),f46(a1,f329(f77(a1),x40221),f329(f77(a1),x40222))),f54(x40221,x40222)) % 166.52/166.33 [4044]P1(f329(f329(f239(f918(f918(x40441,a905),a905)),x40442),f329(f310(x40441),f38(f918(x40441,a905),x40442)))) % 166.52/166.33 [4076]E(f329(f329(f40(x40761,f918(x40761,a905)),x40762),f329(f329(f7(x40761,f918(x40761,a905),f918(x40761,a905)),f311(x40761)),f191(f918(x40761,a905)))),x40762) % 166.52/166.33 [4077]E(f329(f329(f291(x40771,x40771,x40771),f329(f289(x40771,x40771),x40772)),f309(x40771,f329(f289(x40771,x40771),x40772))),f329(f289(x40771,x40771),f329(f329(f291(x40771,x40771,x40771),x40772),f309(x40771,x40772)))) % 166.52/166.33 [4142]E(f329(f175(x41421),f329(f145(f911(x41421),f911(x41421),f137(x41421),f118(x41421)),x41422)),f329(f329(f40(f911(x41421),f918(x41421,a905)),f329(f175(f911(x41421)),x41422)),f175(x41421))) % 166.52/166.33 [4173]E(f329(f329(f115(f918(f917(x41731,x41731),a905)),f309(x41731,f191(f918(f917(x41731,x41731),a905)))),f329(f329(f291(x41731,x41731,x41731),f309(x41731,x41732)),x41732)),f309(x41731,x41732)) % 166.52/166.33 [4209]E(f329(f329(f184(x42091,x42091),x42092),x42092),f329(f329(f157(x42091,f917(x42091,x42091)),f329(f329(f18(x42091,x42091,f917(x42091,x42091)),f257(x42091,x42091)),f5(x42091))),x42092)) % 166.52/166.33 [4320]E(f329(f145(a910,f911(x43201),f329(f7(f911(x43201),a910,a910),f329(f329(f8(a910,f918(a910,a910),f911(x43201)),f238(a910)),f192(f911(x43201)))),f2(a910)),f329(f171(f911(x43201)),x43202)),f329(f192(f911(f911(x43201))),f182(x43201,x43202))) % 166.52/166.33 [4392]E(f329(f329(f290(f917(a910,f911(x43921)),f911(x43921)),f321(a910,f911(x43921),a245,f148(x43921,x43922))),f329(f329(f18(f911(x43921),f911(x43921),f917(a910,f911(x43921))),f329(f329(f8(a910,f918(f911(x43921),f917(a910,f911(x43921))),f911(x43921)),f257(a910,f911(x43921))),f192(f911(x43921)))),f5(f911(x43921)))),f149(x43921,x43922)) % 166.52/166.33 [4519]E(f329(f267(x45191),f329(f329(f8(f918(f918(x45191,a905),a905),a905,x45191),f90(f918(x45191,a905))),f329(f329(f8(f918(f918(x45191,a905),a905),f918(f918(x45191,a905),a905),x45191),f329(f18(f918(x45191,a905),a905,a905),f329(f329(f8(a905,f918(a905,a905),f918(x45191,a905)),a332),f329(f329(f7(f918(x45191,a905),f918(f918(x45191,a905),a905),a905),f331(f918(x45191,a905))),x45192)))),f331(x45191)))),f39(f918(x45191,a905),x45192)) % 166.52/166.33 [4520]E(f329(f267(x45201),f329(f329(f8(f918(f918(x45201,a905),a905),a905,x45201),f89(f918(x45201,a905))),f329(f329(f8(f918(f918(x45201,a905),a905),f918(f918(x45201,a905),a905),x45201),f329(f18(f918(x45201,a905),a905,a905),f329(f329(f8(a905,f918(a905,a905),f918(x45201,a905)),a327),f329(f329(f7(f918(x45201,a905),f918(f918(x45201,a905),a905),a905),f331(f918(x45201,a905))),x45202)))),f331(x45201)))),f38(f918(x45201,a905),x45202)) % 166.52/166.33 [4661]~P1(f329(f329(f240(a1),f329(f105(a1),x46611)),f329(f81(a1),f329(f105(a1),x46612)))) % 166.52/166.33 [3612]E(f329(f329(f23(a910),f329(f329(f82(a910),x36121),x36122)),x36122),x36121) % 166.52/166.33 [3613]E(f329(f329(f23(a910),f329(f329(f82(a910),x36131),x36132)),x36131),x36132) % 166.52/166.33 [3680]E(f329(f329(f82(a910),f329(f329(f23(a910),x36801),x36802)),x36802),f329(f329(f238(a910),x36801),x36802)) % 166.52/166.33 [3792]E(f329(f329(f83(a910),f329(f329(f37(a910),x37921),x37922)),x37922),f329(f329(f23(a910),x37921),f46(a910,x37921,x37922))) % 166.52/166.33 [3820]E(f329(f175(a910),f142(a910,f329(f304(a910,f329(a117,x38201)),x38202))),f308(a910,x38201,x38202)) % 166.52/166.33 [3828]E(f329(f105(a1),f220(f329(a109,f329(f77(a1),x38281)),f329(a109,f329(f77(a1),x38282)))),f329(f329(a221,x38281),x38282)) % 166.52/166.33 [3830]E(f329(f329(f115(f918(x38301,a905)),f329(f81(f918(x38301,a905)),x38302)),x38302),f247(f918(x38301,a905))) % 166.52/166.33 [3831]E(f329(f329(f106(f918(x38311,a905)),f329(f81(f918(x38311,a905)),x38312)),x38312),f191(f918(x38311,a905))) % 166.52/166.33 [3848]P1(f329(f329(f239(a910),f329(f329(f23(a910),x38481),x38482)),x38481)) % 166.52/166.33 [3849]P1(f329(f329(f239(a910),f329(f329(f37(a910),x38491),x38492)),x38491)) % 166.52/166.33 [3873]P1(f329(f329(f240(a910),x38731),f329(a117,f329(f329(f82(a910),x38732),x38731)))) % 166.52/166.33 [3874]P1(f329(f329(f240(a910),x38741),f329(a117,f329(f329(f82(a910),x38741),x38742)))) % 166.52/166.33 [3891]E(f329(f329(f83(a910),f329(a109,f329(f77(a1),x38911))),f329(a109,f329(f77(a1),x38912))),f329(a109,f329(f77(a1),f329(f329(f83(a1),x38911),x38912)))) % 166.52/166.33 [3903]P1(f329(f329(f239(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x39031)),x39032))) % 166.52/166.33 [3972]E(f329(f288(f911(x39721),f911(x39721),f161(x39721,x39722)),f329(f329(f311(f911(x39721)),f118(x39721)),f191(f918(f911(x39721),a905)))),f329(f329(f311(f911(x39721)),f118(x39721)),f191(f918(f911(x39721),a905)))) % 166.52/166.33 [3991]E(f329(f329(f115(f918(f917(x39911,x39911),a905)),f309(x39911,x39912)),f309(x39911,f191(f918(f917(x39911,x39911),a905)))),f309(x39911,x39912)) % 166.52/166.33 [4004]E(f329(f329(f37(a1),f329(f108(a1),f329(f329(f82(a1),x40041),x40041))),f329(f108(a1),f329(f329(f82(a1),x40042),x40042))),f329(f329(f37(a1),f329(f108(a1),x40041)),f329(f108(a1),x40042))) % 166.52/166.33 [4066]E(f329(f329(f249(a1),x40661),f329(f108(a910),f329(f329(f82(a1),x40662),x40662))),f329(f329(f88(a1,a1),f329(f329(f249(a1),x40661),f329(f108(a910),x40662))),f329(f329(f18(a1,a1,a1),f83(a1)),f5(a1)))) % 166.52/166.33 [4072]E(f329(f267(f918(x40721,a905)),f329(f329(f7(f918(x40721,a905),f918(x40721,a905),a905),f239(f918(x40721,a905))),x40722)),f329(f310(x40721),x40722)) % 166.52/166.33 [4088]E(f329(f329(f157(a1,a910),a109),f329(f329(f137(a1),f329(f329(f157(a910,a1),f105(a1)),x40881)),f329(f329(f157(a910,a1),f105(a1)),x40882))),f329(f329(f137(a910),x40881),x40882)) % 166.52/166.33 [4120]E(f329(f312(a1,a1,f329(f329(f7(a1,a1,a1),f82(a1)),x41201)),f329(f304(a1,f2(a1)),f329(f329(f23(a1),x41202),x41201))),f329(f304(a1,x41201),x41202)) % 166.52/166.33 [4122]P61(x41221,f329(f329(f23(f918(f917(x41221,x41221),a905)),x41222),f309(x41221,f191(f918(f917(x41221,x41221),a905))))) % 166.52/166.33 [4140]E(f329(f192(f911(x41401)),f329(f145(f911(x41401),f911(x41401),f137(x41401),f118(x41401)),x41402)),f329(f168(a910),f329(f329(f157(f911(x41401),a910),f192(f911(x41401))),x41402))) % 166.52/166.33 [4144]P60(x41441,f247(f918(x41441,a905)),f329(f329(f115(f918(f917(x41441,x41441),a905)),x41442),f309(x41441,f191(f918(f917(x41441,x41441),a905))))) % 166.52/166.33 [4189]E(f188(a910,f2(a910),f329(f329(f8(a910,a910,a910),a117),f329(f329(f7(a910,a910,a910),f237(a910)),x41891)),x41892),f329(f329(f237(a910),x41892),f329(a117,x41891))) % 166.52/166.33 [4192]E(f188(a910,f329(a117,x41921),f329(f329(f8(a910,a910,a910),a117),f329(f329(f7(a910,a910,a910),f238(a910)),x41921)),x41922),f329(f329(f238(a910),x41922),f329(a117,x41921))) % 166.52/166.33 [4195]E(f329(f312(x41951,f911(x41951),f329(f329(f7(x41951,f911(x41951),f911(x41951)),f154(x41951)),f118(x41951))),x41952),f177(x41951,x41952,f329(f329(f311(f911(x41951)),f118(x41951)),f191(f918(f911(x41951),a905))))) % 166.52/166.33 [4197]E(f329(f329(f115(f918(f917(x41971,x41971),a905)),f329(f329(f291(x41971,x41971,x41971),x41972),f309(x41971,x41972))),f309(x41971,f191(f918(f917(x41971,x41971),a905)))),f309(x41971,x41972)) % 166.52/166.33 [4204]P1(f329(f329(f239(f918(f917(x42041,x42041),a905)),f268(x42041,x42042)),f329(f329(f259(x42041,x42041),x42042),f329(f16(f918(x42041,a905),x42041),x42042)))) % 166.52/166.33 [4207]E(f329(f312(a1,a910,a109),f329(f329(f115(f918(a1,a905)),f329(f312(a910,a1,f105(a1)),x42071)),f329(f312(a910,a1,f105(a1)),x42072))),f329(f329(f115(f918(a910,a905)),x42071),x42072)) % 166.52/166.33 [4208]E(f329(f312(a1,a910,a109),f329(f329(f106(f918(a1,a905)),f329(f312(a910,a1,f105(a1)),x42081)),f329(f312(a910,a1,f105(a1)),x42082))),f329(f329(f106(f918(a910,a905)),x42081),x42082)) % 166.52/166.33 [4211]E(f329(f267(x42111),f329(f329(f8(a905,a905,x42111),a324),f329(f329(f7(x42111,f918(x42111,a905),a905),f331(x42111)),x42112))),f329(f81(f918(x42111,a905)),x42112)) % 166.52/166.33 [4238]E(f329(f145(f911(x42381),f911(x42381),f137(x42381),f118(x42381)),f329(f329(f157(f911(x42381),f911(x42381)),f171(x42381)),f329(f171(f911(x42381)),x42382))),f329(f171(x42381),f329(f145(f911(x42381),f911(x42381),f137(x42381),f118(x42381)),x42382))) % 166.52/166.33 [4264]E(f329(f329(f40(a910,f918(f917(x42641,x42641),a905)),f247(f918(a910,a905))),f329(f329(f7(a910,f918(f917(x42641,x42641),a905),f918(f917(x42641,x42641),a905)),f186(f917(x42641,x42641),a905)),x42642)),f309(x42641,x42642)) % 166.52/166.33 [4282]E(f87(x42821,f329(f329(f8(f918(x42821,a905),a905,x42821),f329(a326,x42822)),f329(f329(f7(x42821,f918(x42821,a905),f918(x42821,a905)),f311(x42821)),f191(f918(x42821,a905))))),f314(x42821,x42822)) % 166.52/166.33 [4290]E(f329(f192(f911(x42901)),f155(x42901,f329(f145(f911(x42901),f911(x42901),f137(x42901),f118(x42901)),x42902))),f329(f36(x42901),f329(f329(f40(f911(x42901),f918(x42901,a905)),f329(f175(f911(x42901)),x42902)),f175(x42901)))) % 166.52/166.33 [4304]E(f329(f329(f115(f918(f917(x43041,x43041),a905)),x43042),f329(f329(f291(x43041,x43041,x43041),f329(f329(f291(x43041,x43041,x43041),x43042),f309(x43041,x43042))),x43042)),f329(f329(f291(x43041,x43041,x43041),x43042),f309(x43041,x43042))) % 166.52/166.33 [4328]P1(f329(f329(f239(f918(f917(x43281,x43281),a905)),f329(f329(f291(x43281,x43281,x43281),x43282),f309(x43281,x43282))),f329(f329(f259(x43281,x43281),f329(f284(x43281),x43282)),f329(f16(f918(x43281,a905),x43281),f329(f284(x43281),x43282))))) % 166.52/166.33 [4369]E(f329(f267(f911(x43691)),f329(f329(f7(f911(x43691),f918(x43691,a905),a905),f329(f329(f8(f918(x43691,a905),f918(f918(x43691,a905),a905),f911(x43691)),f239(f918(x43691,a905))),f175(x43691))),x43692)),f164(x43691,x43692)) % 166.52/166.33 [4380]E(f329(f159(f911(x43801),x43801,f118(x43801),f329(f329(f8(f911(x43801),f918(f911(x43801),f911(x43801)),x43801),f329(f7(f911(x43801),f911(x43801),f911(x43801)),f137(x43801))),f329(f329(f7(x43801,f911(x43801),f911(x43801)),f154(x43801)),f118(x43801)))),x43802),f329(f170(x43801),x43802)) % 166.52/166.33 [4420]P30(f918(x44201,x44202),f918(f917(x44201,x44202),a905),f329(f329(f8(f918(f917(x44201,x44202),a905),f918(f917(x44201,x44202),a905),f918(x44201,x44202)),f267(f917(x44201,x44202))),f329(f329(f8(f918(x44201,f918(x44202,a905)),f918(f917(x44201,x44202),a905),f918(x44201,x44202)),f262(x44201,x44202,a905)),f329(f8(x44202,f918(x44202,a905),x44201),f329(f7(x44202,x44202,a905),a326)))),f247(f918(f918(x44201,x44202),a905))) % 166.52/166.33 [4425]E(f46(a1,f329(f108(a1),f329(f329(f82(a1),x44251),x44251)),f329(f108(a1),f329(f329(f82(a1),x44252),x44252))),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)))),f46(a1,f329(f108(a1),x44251),f329(f108(a1),x44252)))) % 166.52/166.33 [4469]E(f329(f329(f40(x44691,f918(f917(x44691,x44691),a905)),x44692),f329(f329(f7(x44691,f918(f917(x44691,x44691),a905),f918(f917(x44691,x44691),a905)),f329(f329(f8(f917(x44691,x44691),f918(f918(f917(x44691,x44691),a905),f918(f917(x44691,x44691),a905)),x44691),f311(f917(x44691,x44691))),f329(f329(f18(x44691,x44691,f917(x44691,x44691)),f257(x44691,x44691)),f5(x44691)))),f191(f918(f917(x44691,x44691),a905)))),f268(x44691,x44692)) % 166.52/166.33 [4477]E(f206(x44771,f329(f329(f257(a1,a1),f329(f81(a1),f329(f329(f74(f917(a1,a1),a1,x44771,f256(a1,a1)),f216(x44771)),x44772))),f329(f329(f74(f917(a1,a1),a1,x44771,f261(a1,a1)),f216(x44771)),x44772))),f231(x44771,x44772)) % 166.52/166.33 [4559]E(f329(f267(f918(x45591,a905)),f329(f329(f8(f918(f918(x45591,a905),a905),a905,f918(x45591,a905)),f89(f918(x45591,a905))),f329(f329(f7(f918(x45591,a905),f918(f918(x45591,a905),a905),f918(f918(x45591,a905),a905)),f329(f329(f8(f918(f918(x45591,a905),f918(a905,a905)),f918(f918(f918(x45591,a905),a905),f918(f918(x45591,a905),a905)),f918(x45591,a905)),f18(f918(x45591,a905),a905,a905)),f329(f329(f8(f918(f918(x45591,a905),a905),f918(f918(x45591,a905),f918(a905,a905)),f918(x45591,a905)),f329(f8(a905,f918(a905,a905),f918(x45591,a905)),a327)),f329(f329(f7(f918(x45591,a905),f918(f918(x45591,a905),f918(x45591,a905)),f918(f918(x45591,a905),a905)),f329(f329(f8(f918(f918(x45591,a905),a905),f918(f918(f918(x45591,a905),f918(x45591,a905)),f918(f918(x45591,a905),a905)),f918(x45591,a905)),f8(f918(x45591,a905),a905,f918(x45591,a905))),a326)),f81(f918(x45591,a905)))))),f329(f329(f8(f918(f918(x45591,a905),a905),a905,f918(x45591,a905)),f329(f331(f918(x45591,a905)),x45592)),f310(x45591))))),f329(f310(x45591),f329(f81(f918(x45591,a905)),x45592))) % 166.52/166.33 [4659]~E(f329(f329(f82(a1),x46591),x46591),f329(f329(f23(a1),f329(f329(f82(a1),x46592),x46592)),a102)) % 166.52/166.33 [4663]~P1(f329(f329(f240(a910),f329(f329(f82(a910),x46631),x46632)),x46632)) % 166.52/166.33 [4664]~P1(f329(f329(f240(a910),f329(f329(f82(a910),x46641),x46642)),x46641)) % 166.52/166.33 [3908]E(f329(f329(f23(a910),x39081),f329(f329(f83(a910),f329(f329(f37(a910),x39081),x39082)),x39082)),f46(a910,x39081,x39082)) % 166.52/166.33 [3909]E(f329(f329(f23(a1),x39091),f329(f329(f83(a1),f329(f329(f37(a1),x39091),x39092)),x39092)),f46(a1,x39091,x39092)) % 166.52/166.33 [3943]E(f329(f329(f157(a910,x39431),f329(f167(x39431),x39432)),f142(a910,f329(f304(a910,f2(a910)),f329(f192(f911(x39431)),x39432)))),x39432) % 166.52/166.33 [4000]E(f329(f288(x40001,x40001,f309(x40001,f191(f918(f917(x40001,x40001),a905)))),x40002),x40002) % 166.52/166.33 [4125]E(f309(x41251,f329(f329(f115(f918(f917(x41251,x41251),a905)),x41252),f309(x41251,f191(f918(f917(x41251,x41251),a905))))),f309(x41251,x41252)) % 166.52/166.33 [4126]E(f309(x41261,f329(f329(f23(f918(f917(x41261,x41261),a905)),x41262),f309(x41261,f191(f918(f917(x41261,x41261),a905))))),f309(x41261,x41262)) % 166.52/166.33 [4176]E(f329(f329(f23(a1),f329(f329(f23(a1),f329(f329(f82(a1),x41761),x41761)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x41762),x41762)),a102)),f329(f329(f82(a1),f329(f329(f23(a1),x41761),x41762)),f329(f329(f23(a1),x41761),x41762))) % 166.52/166.33 [4216]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f82(a1),x42161),x42162)),f329(f329(f82(a1),x42161),x42162))),a102),f329(f329(f82(a1),f329(f329(f82(a1),x42161),x42161)),f329(f329(f23(a1),f329(f329(f82(a1),x42162),x42162)),a102))) % 166.52/166.33 [4241]E(f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42411),x42411)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x42412),x42412)),a102)),f329(f329(f82(a1),f329(f329(f82(a1),x42411),f329(f329(f23(a1),x42412),a102))),f329(f329(f82(a1),x42411),f329(f329(f23(a1),x42412),a102)))) % 166.52/166.33 [4252]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f82(a1),x42521),x42522)),f329(f329(f82(a1),x42521),x42522))),a102),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42521),x42521)),a102)),f329(f329(f82(a1),x42522),x42522))) % 166.52/166.33 [4253]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),x42531),x42532)),f329(f329(f23(a1),x42531),x42532))),a102),f329(f329(f23(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42531),x42531)),a102)),f329(f329(f82(a1),x42532),x42532))) % 166.52/166.33 [4301]E(f329(f105(a1),f329(f329(f37(a910),f329(f329(f83(a910),f329(a109,f329(f77(a1),x43011))),f329(a109,f329(f77(a1),x43012)))),f220(f329(a109,f329(f77(a1),x43011)),f329(a109,f329(f77(a1),x43012))))),f222(x43011,x43012)) % 166.52/166.33 [4346]E(f329(f329(f264(f917(a104,a104),a104,f917(a104,a104),f917(x43461,f917(a104,a104))),f272(f329(a3,f329(f192(f911(x43461)),x43462)))),f329(f329(f8(x43461,f918(f917(a104,a104),f917(x43461,f917(a104,a104))),a104),f257(x43461,f917(a104,a104))),f329(f329(f8(a910,x43461,a104),f329(f167(x43461),x43462)),a20))),f278(x43461,x43462)) % 166.52/166.33 [4426]E(f329(f145(a910,f911(x44261),f329(f7(f911(x44261),a910,a910),f329(f329(f8(a910,f918(a910,a910),f911(x44261)),f238(a910)),f192(f911(x44261)))),f2(a910)),f329(f171(f911(x44261)),f182(x44261,x44262))),f329(f192(f911(f911(x44261))),f329(f139(f911(x44261),f329(f329(f8(a905,a905,f911(x44261)),a324),f329(f329(f7(f911(x44261),f911(x44261),a905),a326),f118(x44261)))),x44262))) % 166.52/166.33 [4432]E(f329(f329(f40(a910,f918(x44321,a905)),f247(f918(a910,a905))),f329(f329(f7(a910,f918(a910,f918(x44321,a905)),f918(x44321,a905)),f329(f329(f8(f918(a910,a905),f918(f918(a910,f918(x44321,a905)),f918(x44321,a905)),a910),f40(a910,f918(x44321,a905))),f304(a910,f2(a910)))),x44322)),f329(f329(f40(a910,f918(x44321,a905)),f247(f918(a910,a905))),x44322)) % 166.52/166.33 [4454]P1(f329(f62(a910),f329(f267(a910),f329(f329(f18(a910,a905,a905),f329(f329(f8(a905,f918(a905,a905),a910),a327),x44541)),f329(f329(f7(a910,a910,a905),f240(a910)),x44542))))) % 166.52/166.33 [4568]E(f329(f267(f917(f911(x45681),f911(x45681))),f329(f262(f911(x45681),f911(x45681),a905),f329(f329(f18(f911(x45681),f918(f911(x45681),a905),f918(f911(x45681),a905)),f329(f329(f8(f918(f911(x45681),f918(a905,a905)),f918(f918(f911(x45681),a905),f918(f911(x45681),a905)),f911(x45681)),f18(f911(x45681),a905,a905)),f329(f329(f8(f918(f911(x45681),a905),f918(f911(x45681),f918(a905,a905)),f911(x45681)),f329(f8(a905,f918(a905,a905),f911(x45681)),a328)),f329(f329(f7(f911(x45681),f918(f911(x45681),a910),f918(f911(x45681),a905)),f329(f329(f8(f918(a910,a905),f918(f918(f911(x45681),a910),f918(f911(x45681),a905)),f911(x45681)),f8(a910,a905,f911(x45681))),f329(f329(f8(a910,f918(a910,a905),f911(x45681)),f240(a910)),f192(f911(x45681))))),f192(f911(x45681)))))),f329(f329(f18(f911(x45681),f918(f911(x45681),a905),f918(f911(x45681),a905)),f329(f329(f8(f918(f911(x45681),f918(a905,a905)),f918(f918(f911(x45681),a905),f918(f911(x45681),a905)),f911(x45681)),f18(f911(x45681),a905,a905)),f329(f329(f8(f918(f911(x45681),a905),f918(f911(x45681),f918(a905,a905)),f911(x45681)),f329(f8(a905,f918(a905,a905),f911(x45681)),a327)),f329(f329(f7(f911(x45681),f918(f911(x45681),a910),f918(f911(x45681),a905)),f329(f329(f8(f918(a910,a905),f918(f918(f911(x45681),a910),f918(f911(x45681),a905)),f911(x45681)),f8(a910,a905,f911(x45681))),f329(f329(f8(a910,f918(a910,a905),f911(x45681)),a326),f192(f911(x45681))))),f192(f911(x45681)))))),f329(f329(f7(f911(x45681),f918(f917(f911(x45681),f911(x45681)),a905),f918(f911(x45681),a905)),f329(f329(f8(f918(f911(x45681),f918(f918(f917(f911(x45681),f911(x45681)),a905),a905)),f918(f918(f917(f911(x45681),f911(x45681)),a905),f918(f911(x45681),a905)),f911(x45681)),f7(f911(x45681),f918(f917(f911(x45681),f911(x45681)),a905),a905)),f329(f329(f8(f918(f911(x45681),f917(f911(x45681),f911(x45681))),f918(f911(x45681),f918(f918(f917(f911(x45681),f911(x45681)),a905),a905)),f911(x45681)),f329(f8(f917(f911(x45681),f911(x45681)),f918(f918(f917(f911(x45681),f911(x45681)),a905),a905),f911(x45681)),f331(f917(f911(x45681),f911(x45681))))),f257(f911(x45681),f911(x45681))))),f148(x45681,x45682)))))),f149(x45681,x45682)) % 166.52/166.33 [4244]E(f329(f329(f82(a1),f329(f329(f82(a1),f329(f329(f83(a1),x42441),x42442)),f329(f329(f83(a1),x42441),x42442))),x42442),f329(f329(f83(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42441),x42441)),a102)),x42442)) % 166.52/166.33 [4345]E(f329(a109,f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x43451),x43452)),f191(f918(f917(a910,a910),a905)))))),f329(f329(f23(a910),x43451),x43452)) % 166.52/166.33 [4349]E(f329(f329(f291(x43491,x43491,x43491),f329(f329(f115(f918(f917(x43491,x43491),a905)),x43492),f309(x43491,f191(f918(f917(x43491,x43491),a905))))),f309(x43491,f329(f329(f115(f918(f917(x43491,x43491),a905)),x43492),f309(x43491,f191(f918(f917(x43491,x43491),a905)))))),f309(x43491,x43492)) % 166.52/166.33 [4386]E(f273(x43861,f329(f139(f917(a104,x43861),f329(f262(a104,x43861,a905),f329(f329(f8(a905,f918(x43861,a905),a104),f16(a905,x43861)),f329(f240(a104),f2(a104))))),x43862)),f273(x43861,x43862)) % 166.52/166.33 [4387]E(f271(x43871,f329(f139(f917(a104,x43871),f329(f262(a104,x43871,a905),f329(f329(f8(a905,f918(x43871,a905),a104),f16(a905,x43871)),f329(f240(a104),f2(a104))))),x43872)),f271(x43871,x43872)) % 166.52/166.33 [4389]E(f329(f81(a1),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x43891),x43892)),f191(f918(f917(a910,a910),a905)))))),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x43892),x43891)),f191(f918(f917(a910,a910),a905)))))) % 166.52/166.33 [4445]E(f329(f329(f290(f911(a910),x44451),f148(a910,a245)),f329(f329(f7(x44451,f911(f918(x44451,a910)),f911(a910)),f329(f329(f8(f918(f918(x44451,a910),a910),f918(f911(f918(x44451,a910)),f911(a910)),x44451),f157(f918(x44451,a910),a910)),f329(f7(f918(x44451,a910),x44451,a910),f5(f918(x44451,a910))))),x44452)),f156(x44451,x44452)) % 166.52/166.33 [4466]E(f329(f329(f88(a1,a910),f329(f108(a1),f329(f329(f82(a1),x44661),a102))),f329(f329(f18(a1,a910,a910),f329(f329(f7(a1,a910,f918(a910,a910)),f329(f329(f8(a905,f918(a910,f918(a910,a910)),a1),f99(a910)),a196)),f2(a910))),f329(f329(f8(a910,a910,a1),a117),f329(f329(f8(a910,a910,a1),f329(f237(a910),x44662)),a109)))),f329(f329(f237(a910),f329(a117,x44662)),f329(f108(a910),x44661))) % 166.52/166.33 [4467]E(f329(f329(f88(a1,a910),f329(f108(a1),f329(f329(f82(a1),x44671),a102))),f329(f329(f18(a1,a910,a910),f329(f329(f7(a1,a910,f918(a910,a910)),f329(f329(f8(a905,f918(a910,f918(a910,a910)),a1),f99(a910)),a196)),f329(a117,x44672))),f329(f329(f8(a910,a910,a1),a117),f329(f329(f8(a910,a910,a1),f329(f238(a910),x44672)),a109)))),f329(f329(f238(a910),f329(a117,x44672)),f329(f108(a910),x44671))) % 166.52/166.33 [4487]E(f329(f145(f911(x44871),f911(x44871),f137(x44871),f118(x44871)),f329(f329(f157(f911(x44871),f911(x44871)),f159(f911(x44871),x44871,f118(x44871),f329(f329(f8(f911(x44871),f918(f911(x44871),f911(x44871)),x44871),f16(f911(x44871),f911(x44871))),f329(f329(f7(x44871,f911(x44871),f911(x44871)),f154(x44871)),f118(x44871))))),x44872)),f329(f329(f157(f911(x44871),x44871),f144(x44871)),f329(f139(f911(x44871),f329(f329(f8(a905,a905,f911(x44871)),a324),f329(f329(f7(f911(x44871),f911(x44871),a905),a326),f118(x44871)))),x44872))) % 166.52/166.33 [4549]E(f329(f262(a1,a1,a905),f329(f329(f7(a1,f918(a1,a905),f918(a1,a905)),f329(f329(f8(f918(a1,f918(a905,a905)),f918(f918(a1,a905),f918(a1,a905)),a1),f18(a1,a905,a905)),f329(f329(f8(f918(a1,a905),f918(a1,f918(a905,a905)),a1),f329(f8(a905,f918(a905,a905),a1),a327)),f329(f329(f8(f918(a1,a1),f918(a1,a905),a1),f329(f8(a1,a905,a1),f329(a326,x45491))),f329(f329(f8(a1,f918(a1,a1),a1),f82(a1)),f329(f83(a1),x45492)))))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f329(f8(a905,a905,a1),f329(a332,f329(f329(f240(a1),f2(a1)),x45492))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f239(a1),f2(a1)))),f329(f329(f7(a1,a1,a905),f240(a1)),x45492))))),f329(f329(f8(a905,a905,a1),f329(a332,f329(a324,f329(f329(f240(a1),f2(a1)),x45492)))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f240(a1),x45492))),f329(f329(f7(a1,a1,a905),f239(a1)),f2(a1))))))),f50(x45491,x45492)) % 166.52/166.33 [4552]E(f329(f267(x45521),f329(f329(f8(f918(a910,a905),a905,x45521),f89(a910)),f329(f329(f7(x45521,f918(a910,a905),f918(a910,a905)),f329(f329(f8(f918(a910,f918(a905,a905)),f918(f918(a910,a905),f918(a910,a905)),x45521),f18(a910,a905,a905)),f329(f329(f8(f918(a910,a905),f918(a910,f918(a905,a905)),x45521),f329(f8(a905,f918(a905,a905),a910),a327)),f329(f329(f7(x45521,f918(a910,x45521),f918(a910,a905)),f329(f329(f8(f918(x45521,a905),f918(f918(a910,x45521),f918(a910,a905)),x45521),f8(x45521,a905,a910)),a326)),f329(f167(x45521),x45522))))),f329(f329(f7(a910,a910,a905),f240(a910)),f329(f192(f911(x45521)),x45522))))),f329(f175(x45521),x45522)) % 166.52/166.33 [4359]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),x43591),a102)),x43592)),f329(f329(f23(a1),f329(f329(f82(a1),x43591),a102)),x43592))),a102),f329(f329(f23(a1),f329(f329(f82(a1),x43591),x43591)),f329(f329(f23(a1),f329(f329(f82(a1),x43592),x43592)),a102))) % 166.52/166.33 [4482]E(f329(f145(f911(f911(x44821)),f911(f911(x44821)),f137(f911(x44821)),f118(f911(x44821))),f329(f329(f157(f911(x44821),f911(f911(x44821))),f159(f911(f911(x44821)),x44821,f118(f911(x44821)),f329(f16(f918(f911(x44821),f911(f911(x44821))),x44821),f329(f329(f7(f911(x44821),f911(f911(x44821)),f911(f911(x44821))),f154(f911(x44821))),f118(f911(x44821)))))),x44822)),f329(f329(f157(f911(x44821),f911(x44821)),f174(x44821)),f329(f139(f911(x44821),f329(f329(f8(a905,a905,f911(x44821)),a324),f329(f329(f7(f911(x44821),f911(x44821),a905),a326),f118(x44821)))),x44822))) % 166.52/166.33 [4492]E(f329(f329(f88(a1,a910),f329(f108(a1),f329(f329(f82(a1),x44921),a102))),f329(f329(f18(a1,a910,a910),f329(f329(f7(a1,a910,f918(a910,a910)),f329(f329(f8(a905,f918(a910,f918(a910,a910)),a1),f99(a910)),a196)),f2(a910))),f329(f329(f8(a910,a910,a1),a117),f329(f329(f7(a1,a910,a910),f329(f329(f8(a910,f918(a910,a910),a1),f237(a910)),a109)),x44922)))),f329(f329(f237(a910),f329(f108(a910),x44921)),f329(a117,x44922))) % 166.52/166.33 [4493]E(f329(f329(f88(a1,a910),f329(f108(a1),f329(f329(f82(a1),x44931),a102))),f329(f329(f18(a1,a910,a910),f329(f329(f7(a1,a910,f918(a910,a910)),f329(f329(f8(a905,f918(a910,f918(a910,a910)),a1),f99(a910)),a196)),f329(a117,x44932))),f329(f329(f8(a910,a910,a1),a117),f329(f329(f7(a1,a910,a910),f329(f329(f8(a910,f918(a910,a910),a1),f238(a910)),a109)),x44932)))),f329(f329(f238(a910),f329(f108(a910),x44931)),f329(a117,x44932))) % 166.52/166.33 [4481]E(f329(f262(x44811,x44811,a905),f329(f329(f18(x44811,a905,f918(x44811,a905)),f329(f329(f8(f918(x44811,f918(a905,a905)),f918(a905,f918(x44811,a905)),x44811),f7(x44811,a905,a905)),f329(f329(f8(f918(x44811,a905),f918(x44811,f918(a905,a905)),x44811),f329(f8(a905,f918(a905,a905),x44811),a327)),a326))),x44812)),f268(x44811,x44812)) % 166.52/166.33 [4526]E(f329(f329(f37(a910),x45261),f329(f329(f82(a910),f329(f108(a910),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))),x45262)),f329(f329(f37(a910),x45261),f329(a117,f329(a117,f329(a117,x45262))))) % 166.52/166.33 [4527]E(f46(a910,x45271,f329(f329(f82(a910),f329(f108(a910),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))),x45272)),f46(a910,x45271,f329(a117,f329(a117,f329(a117,x45272))))) % 166.52/166.33 [4528]E(f46(a910,f329(f329(f82(a910),f329(f108(a910),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))),x45281),x45282),f46(a910,f329(a117,f329(a117,f329(a117,x45281))),x45282)) % 166.52/166.33 [4540]E(f127(f329(x45401,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))),x45402))),f329(f204(x45401),x45402)) % 166.52/166.33 [4541]E(f329(f329(f37(a910),f329(f329(f82(a910),f329(f108(a910),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))),x45411)),x45412),f329(f329(f37(a910),f329(a117,f329(a117,f329(a117,x45411)))),x45412)) % 166.52/166.33 [4590]~E(f32(x45901,x45902),f329(a26,x45903)) % 166.52/166.33 [4591]~E(f31(x45911,x45912),f329(a26,x45913)) % 166.52/166.33 [4592]~E(f329(a26,x45921),f32(x45922,x45923)) % 166.52/166.33 [4593]~E(f329(a26,x45931),f31(x45932,x45933)) % 166.52/166.33 [4607]~E(f29(x46071,x46072,x46073),a25) % 166.52/166.33 [4608]~E(f28(x46081,x46082,x46083),a25) % 166.52/166.33 [4612]~E(f130(x46121,x46122,x46123),f124(x46121)) % 166.52/166.33 [3338]E(f329(f195(x33381,x33382),x33383),f125(x33381,x33382)) % 166.52/166.33 [3357]E(f329(f203(x33571,x33572),x33573),f329(f133(x33571),x33572)) % 166.52/166.33 [3434]E(f329(f329(f157(x34341,x34342),x34343),f118(x34341)),f118(x34342)) % 166.52/166.33 [3474]E(f329(f187(x34741,x34742,x34743),f2(a910)),x34742) % 166.52/166.33 [3476]E(f329(f329(f184(x34761,x34762),x34763),f118(x34762)),f118(f917(x34761,x34762))) % 166.52/166.33 [3491]E(f329(f192(f911(x34911)),f172(x34911,x34912,x34913)),x34912) % 166.52/166.33 [3510]E(f87(x35101,f63(x35101,x35102,x35103)),f329(f64(x35101,x35102),x35103)) % 166.52/166.33 [3514]E(f248(x35141,x35142,f248(x35142,x35141,x35143)),x35143) % 166.52/166.33 [3534]E(f329(f171(x35341),f172(x35341,x35342,x35343)),f172(x35341,x35342,x35343)) % 166.52/166.33 [3561]E(f143(x35611,x35612,f155(x35611,x35613)),f155(x35611,f143(x35611,x35612,x35613))) % 166.52/166.33 [3579]E(f329(f256(f911(x35791),f911(x35791)),f169(x35791,x35792,x35793)),f329(f139(x35791,x35792),x35793)) % 166.52/166.33 [3621]E(f329(f329(f154(x36211),x36212),f172(x36211,x36213,x36212)),f172(x36211,f329(a117,x36213),x36212)) % 166.52/166.33 [3655]E(f188(x36551,x36552,x36553,f2(a910)),x36552) % 166.52/166.33 [3656]E(f17(x36561,x36562,x36563,f2(a104)),x36562) % 166.52/166.33 [3657]E(f19(x36571,x36572,x36573,f2(a104)),x36572) % 166.52/166.33 [3664]E(f166(x36641,x36642,x36643,f118(x36641)),f118(x36642)) % 166.52/166.33 [3670]E(f329(f329(f167(x36701),f329(f329(f154(x36701),x36702),x36703)),f2(a910)),x36702) % 166.52/166.33 [3700]E(f60(x37001,x37002,f118(x37001),x37003),f118(f917(x37001,x37002))) % 166.52/166.33 [3721]P30(x37211,x37212,x37213,f191(f918(x37211,a905))) % 166.52/166.33 [3824]E(f270(x38241,x38242,x38243),f329(f257(f918(a104,f918(a905,f914(f912(x38241)))),f917(a104,a104)),f42(x38241))) % 166.52/166.33 [3882]E(f329(f74(x38821,x38822,x38821,x38823),f33(x38821)),x38823) % 166.52/166.33 [4058]P1(f329(f329(f331(f917(x40581,x40581)),f329(f329(f257(x40581,x40581),x40582),x40582)),f309(x40581,x40583))) % 166.52/166.33 [4668]~P1(f329(f329(f331(f917(f911(x46681),f911(x46681))),f329(f329(f257(f911(x46681),f911(x46681)),x46682),f118(x46681))),f148(x46681,x46683))) % 166.52/166.33 [4669]~P1(f329(f329(f331(f917(f911(x46691),f911(x46691))),f329(f329(f257(f911(x46691),f911(x46691)),x46692),f118(x46691))),f150(x46691,x46693))) % 166.52/166.33 [4670]~P1(f329(f329(f331(f917(f911(x46701),f911(x46701))),f329(f329(f257(f911(x46701),f911(x46701)),x46702),f118(x46701))),f160(x46701,x46703))) % 166.52/166.33 [4671]~P1(f329(f329(f331(f917(f911(x46711),f911(x46711))),f329(f329(f257(f911(x46711),f911(x46711)),f118(x46711)),x46712)),f148(x46711,x46713))) % 166.52/166.33 [4672]~P1(f329(f329(f331(f917(f911(x46721),f911(x46721))),f329(f329(f257(f911(x46721),f911(x46721)),f118(x46721)),x46722)),f160(x46721,x46723))) % 166.52/166.33 [3408]E(f329(f329(f205(x34081),x34082),x34083),f206(x34081,f219(x34082,x34083))) % 166.52/166.33 [3463]E(f329(f289(x34631,x34632),f329(f289(x34632,x34631),x34633)),x34633) % 166.52/166.33 [3486]E(f329(f329(f184(x34861,x34862),f118(x34861)),x34863),f118(f917(x34861,x34862))) % 166.52/166.33 [3489]E(f179(x34891,x34892,f329(f285(a910),x34893)),f329(f329(f178(x34891),x34893),x34892)) % 166.52/166.33 [3507]E(f155(x35071,f329(f139(x35071,x35072),x35073)),f329(f139(x35071,x35072),f155(x35071,x35073))) % 166.52/166.33 [3508]E(f329(f287(x35081,x35082),f329(f289(x35082,x35081),x35083)),f329(f269(x35082,x35081),x35083)) % 166.52/166.33 [3509]E(f329(f269(x35091,x35092),f329(f289(x35092,x35091),x35093)),f329(f287(x35092,x35091),x35093)) % 166.52/166.33 [3527]E(f329(f139(x35271,x35272),f329(f171(x35271),x35273)),f329(f171(x35271),f329(f139(x35271,x35272),x35273))) % 166.52/166.33 [3540]E(f329(f329(f141(x35401),x35402),f329(f174(x35401),x35403)),f329(f329(f141(x35401),f329(a117,x35402)),x35403)) % 166.52/166.33 [3556]E(f30(f28(x35561,x35562,x35563)),f329(f329(f82(a910),f30(x35563)),f329(a117,f2(a910)))) % 166.52/166.33 [3557]E(f329(f312(x35571,x35572,x35573),f191(f918(x35571,a905))),f191(f918(x35572,a905))) % 166.52/166.33 [3558]E(f329(f313(x35581,x35582,x35583),f191(f918(x35582,a905))),f191(f918(x35581,a905))) % 166.52/166.33 [3559]E(f329(f313(x35591,x35592,x35593),f247(f918(x35592,a905))),f247(f918(x35591,a905))) % 166.52/166.33 [3560]E(f329(f288(x35601,x35602,x35603),f191(f918(x35601,a905))),f191(f918(x35602,a905))) % 166.52/166.33 [3586]E(f329(f329(f311(x35861),x35862),f329(f175(x35861),x35863)),f329(f175(x35861),f143(x35861,x35862,x35863))) % 166.52/166.33 [3674]E(f329(f192(a907),f28(x36741,x36742,x36743)),f329(f329(f82(a910),f329(f192(a907),x36743)),f329(a117,f2(a910)))) % 166.52/166.33 [3675]E(f329(f312(f917(x36751,x36752),x36752,f261(x36751,x36752)),x36753),f329(f287(x36751,x36752),x36753)) % 166.52/166.33 [3676]E(f329(f312(f917(x36761,x36762),x36761,f256(x36761,x36762)),x36763),f329(f269(x36761,x36762),x36763)) % 166.52/166.33 [3692]E(f329(f175(x36921),f172(x36921,f329(a117,x36922),x36923)),f329(f329(f311(x36921),x36923),f191(f918(x36921,a905)))) % 166.52/166.33 [3750]E(f329(f329(f257(x37501,x37502),f329(f256(x37501,x37502),x37503)),f329(f261(x37501,x37502),x37503)),x37503) % 166.52/166.33 [3757]E(f329(f192(f912(x37571)),f130(x37571,x37572,x37573)),f329(f329(f82(a910),f329(f192(f912(x37571)),x37573)),f329(a117,f2(a910)))) % 166.52/166.33 [3758]E(f329(f329(f262(x37581,x37582,x37581),f16(x37581,x37582)),x37583),f329(f256(x37581,x37582),x37583)) % 166.52/166.33 [3837]E(f30(f29(x38371,x38372,x38373)),f329(f329(f82(a910),f329(f329(f82(a910),f30(x38372)),f30(x38373))),f329(a117,f2(a910)))) % 166.52/166.33 [3887]E(f329(f74(x38871,x38871,x38872,f33(x38871)),x38873),x38873) % 166.52/166.33 [3894]E(f329(f329(f137(x38941),f172(x38941,x38942,x38943)),f329(f329(f154(x38941),x38943),f118(x38941))),f329(f329(f154(x38941),x38943),f172(x38941,x38942,x38943))) % 166.52/166.33 [3994]E(f329(f192(a907),f29(x39941,x39942,x39943)),f329(f329(f82(a910),f329(f329(f82(a910),f329(f192(a907),x39942)),f329(f192(a907),x39943))),f329(a117,f2(a910)))) % 166.52/166.33 [4067]P1(f329(f329(f239(f918(x40671,a905)),f329(f175(x40671),f329(f139(x40671,x40672),x40673))),f329(f175(x40671),x40673))) % 166.52/166.33 [4111]P1(f329(f329(f239(f918(x41111,a905)),f329(f175(x41111),f329(f329(f178(x41111),x41112),x41113))),f329(f175(x41111),x41113))) % 166.52/166.33 [4112]P1(f329(f329(f239(f918(x41121,a905)),f329(f175(x41121),f329(f329(f141(x41121),x41122),x41123))),f329(f175(x41121),x41123))) % 166.52/166.33 [4116]P1(f329(f329(f239(f918(x41161,a905)),f329(f175(x41161),f179(x41161,x41162,x41163))),f329(f175(x41161),x41162))) % 166.52/166.33 [4117]P1(f329(f329(f239(f918(x41171,a905)),f329(f175(x41171),f173(x41171,x41172,x41173))),f329(f175(x41171),x41173))) % 166.52/166.33 [4138]P30(f917(x41381,x41382),f917(x41382,x41381),f329(f262(x41381,x41382,f917(x41382,x41381)),f329(f7(x41382,x41381,f917(x41382,x41381)),f257(x41382,x41381))),x41383) % 166.52/166.33 [4149]E(f329(f329(f329(f186(f911(x41491),f911(x41491)),f46(a910,x41492,f329(f192(f911(x41491)),x41493))),f170(x41491)),x41493),f329(f329(f329(f186(f911(x41491),f911(x41491)),x41492),f170(x41491)),x41493)) % 166.52/166.33 [4193]P1(f329(f329(f331(f917(f911(x41931),f911(x41931))),f329(f329(f257(f911(x41931),f911(x41931)),x41932),x41932)),f161(x41931,f309(x41931,x41933)))) % 166.52/166.33 [4332]E(f87(f917(x43321,x43322),f329(f329(f18(f917(x43321,x43322),x43322,a905),f329(f329(f8(x43321,f918(x43322,a905),f917(x43321,x43322)),x43323),f256(x43321,x43322))),f261(x43321,x43322))),f87(f917(x43321,x43322),f329(f262(x43321,x43322,a905),x43323))) % 166.52/166.33 [4333]E(f92(f917(x43331,x43332),f329(f329(f18(f917(x43331,x43332),x43332,a905),f329(f329(f8(x43331,f918(x43332,a905),f917(x43331,x43332)),x43333),f256(x43331,x43332))),f261(x43331,x43332))),f92(f917(x43331,x43332),f329(f262(x43331,x43332,a905),x43333))) % 166.52/166.33 [4366]E(f329(f329(f290(f917(a910,x43661),x43661),f321(a910,x43661,a245,x43662)),f329(f329(f18(x43661,x43661,f917(a910,x43661)),f329(f329(f8(a910,f918(x43661,f917(a910,x43661)),x43661),f257(a910,x43661)),x43663)),f5(x43661))),f323(x43661,x43663,x43662)) % 166.52/166.33 [4428]E(f329(f263(x44281,x44281,x44282,x44282,f5(x44281),f5(x44282)),x44283),x44283) % 166.52/166.33 [4501]E(f329(f145(f911(f911(x45011)),f911(f911(x45011)),f137(f911(x45011)),f118(f911(x45011))),f329(f329(f157(f911(x45011),f911(f911(x45011))),f329(f329(f7(f911(x45011),f911(x45011),f911(f911(x45011))),f329(f329(f8(f918(x45011,f911(x45011)),f918(f911(x45011),f911(f911(x45011))),f911(x45011)),f157(x45011,f911(x45011))),f329(f7(x45011,f911(x45011),f911(x45011)),f154(x45011)))),x45012)),f56(x45011,x45013,x45012))),f56(x45011,f329(a117,x45013),x45012)) % 166.52/166.33 [4558]E(f227(a910,f917(x45581,f912(x45581)),f2(a910),f329(f262(x45581,f912(x45581),a910),f329(f329(f7(x45581,a910,f918(f912(x45581),a910)),f329(f329(f8(f918(f912(x45581),f918(a910,a910)),f918(a910,f918(f912(x45581),a910)),x45581),f7(f912(x45581),a910,a910)),f329(f329(f8(f918(f912(x45581),a910),f918(f912(x45581),f918(a910,a910)),x45581),f329(f8(a910,f918(a910,a910),f912(x45581)),f82(a910))),f329(f329(f7(x45581,f918(f912(x45581),a910),f918(f912(x45581),a910)),f329(f329(f8(f918(a910,a910),f918(f918(f912(x45581),a910),f918(f912(x45581),a910)),x45581),f8(a910,a910,f912(x45581))),f329(f329(f8(a910,f918(a910,a910),x45581),f82(a910)),x45582))),f129(x45581,x45582))))),f80(a910))),f329(f138(x45581),x45583)),f329(f129(x45581,x45582),x45583)) % 166.52/166.33 [4567]E(f329(f329(f88(a1,x45671),f222(f329(f329(f74(f917(a1,a1),a1,x45671,f261(a1,a1)),f216(x45671)),x45672),f329(f329(f74(f917(a1,a1),a1,x45671,f261(a1,a1)),f216(x45671)),x45673))),f329(f329(f18(a1,a1,x45671),f329(f329(f8(a1,f918(a1,x45671),a1),f205(x45671)),f329(f329(f18(a1,a1,a1),f329(f329(f8(a1,f918(a1,a1),a1),f82(a1)),f329(f329(f8(a1,a1,a1),f329(f83(a1),f329(f329(f74(f917(a1,a1),a1,x45671,f256(a1,a1)),f216(x45671)),x45672))),f329(f329(f7(a1,a1,a1),f37(a1)),f329(f329(f74(f917(a1,a1),a1,x45671,f261(a1,a1)),f216(x45671)),x45672))))),f329(f329(f8(a1,a1,a1),f329(f83(a1),f329(f329(f74(f917(a1,a1),a1,x45671,f256(a1,a1)),f216(x45671)),x45673))),f329(f329(f7(a1,a1,a1),f37(a1)),f329(f329(f74(f917(a1,a1),a1,x45671,f261(a1,a1)),f216(x45671)),x45673)))))),f5(a1))),f234(x45671,x45672,x45673)) % 166.52/166.33 [4603]~E(f329(f329(f154(x46031),x46032),x46033),x46033) % 166.52/166.33 [4610]~E(f329(f329(f154(x46101),x46102),x46103),f118(x46101)) % 166.52/166.33 [4628]~E(f329(f329(f311(x46281),x46282),x46283),f191(f918(x46281,a905))) % 166.52/166.33 [4650]~E(f329(f312(x46501,f918(x46501,a905),x46502),x46503),f329(f310(x46501),x46503)) % 166.52/166.33 [3468]E(f329(f329(f162(x34681,f118(x34681)),x34682),x34683),f118(x34681)) % 166.52/166.33 [3469]E(f329(f144(x34691),f329(f329(f154(x34691),x34692),x34693)),x34692) % 166.52/166.33 [3470]E(f329(f174(x34701),f329(f329(f154(x34701),x34702),x34703)),x34703) % 166.52/166.33 [3513]E(f329(f329(f141(x35131),f80(a910)),f329(f329(f154(x35131),x35132),x35133)),x35133) % 166.52/166.33 [3547]E(f119(x35471,f329(f329(f141(x35471),x35472),x35473)),f329(f329(f141(x35471),x35472),f119(x35471,x35473))) % 166.52/166.33 [3549]E(f329(f329(f162(x35491,x35492),x35493),f329(f329(f167(x35491),x35492),x35493)),x35492) % 166.52/166.33 [3570]E(f329(f329(f311(x35701),x35702),f329(f329(f311(x35701),x35702),x35703)),f329(f329(f311(x35701),x35702),x35703)) % 166.52/166.33 [3582]E(f329(f329(f311(x35821),x35822),f329(f175(x35821),x35823)),f329(f175(x35821),f329(f329(f154(x35821),x35822),x35823))) % 166.52/166.33 [3584]E(f329(f329(f141(x35841),x35842),f329(f174(x35841),x35843)),f329(f174(x35841),f329(f329(f141(x35841),x35842),x35843))) % 166.52/166.33 [3595]E(f329(f329(f178(x35951),f80(a910)),f329(f329(f154(x35951),x35952),x35953)),f329(f329(f154(x35951),x35952),f118(x35951))) % 166.52/166.33 [3640]E(f329(f64(x36401,x36402),f329(f329(f311(x36401),x36403),f191(f918(x36401,a905)))),x36403) % 166.52/166.33 [3682]E(f329(f329(f82(a910),x36821),f329(f329(f82(a910),x36822),x36823)),f329(f329(f82(a910),x36822),f329(f329(f82(a910),x36821),x36823))) % 166.52/166.33 [3683]E(f329(f329(f82(a1),x36831),f329(f329(f82(a1),x36832),x36833)),f329(f329(f82(a1),x36832),f329(f329(f82(a1),x36831),x36833))) % 166.52/166.33 [3688]E(f329(f329(f259(x36881,x36882),f191(f918(x36881,a905))),x36883),f191(f918(f917(x36881,x36882),a905))) % 166.52/166.33 [3713]E(f329(f329(f115(f918(x37131,a905)),x37132),x37133),f329(f329(f115(f918(x37131,a905)),x37133),x37132)) % 166.52/166.33 [3714]E(f329(f329(f106(f918(x37141,a905)),x37142),x37143),f329(f329(f106(f918(x37141,a905)),x37143),x37142)) % 166.52/166.33 [3716]E(f329(f329(f137(x37161),x37162),f329(f329(f154(x37161),x37163),f118(x37161))),f329(f170(x37161),f329(f329(f154(x37161),x37163),x37162))) % 166.52/166.33 [3717]E(f329(f329(f137(x37171),f329(f171(x37171),x37172)),f329(f171(x37171),x37173)),f329(f171(x37171),f329(f329(f137(x37171),x37173),x37172))) % 166.52/166.33 [3727]E(f329(f174(x37271),f329(f329(f178(x37271),f329(a117,x37272)),x37273)),f329(f329(f178(x37271),x37272),f329(f174(x37271),x37273))) % 166.52/166.33 [3735]P1(f329(f329(f331(x37351),x37352),f329(f329(f311(x37351),x37352),x37353))) % 166.52/166.33 [3739]E(f329(f329(f41(x37391,f918(x37392,a905)),f191(f918(x37391,a905))),x37393),f247(f918(x37392,a905))) % 166.52/166.33 [3742]E(f329(f288(x37421,x37421,f268(x37421,x37422)),x37423),f329(f329(f106(f918(x37421,a905)),x37422),x37423)) % 166.52/166.33 [3756]E(f329(f192(f911(x37561)),f329(f329(f154(x37561),x37562),x37563)),f329(f329(f82(a910),f329(f192(f911(x37561)),x37563)),f329(a117,f2(a910)))) % 166.52/166.33 [3760]E(f119(x37601,f329(f329(f137(x37601),x37602),f329(f329(f154(x37601),x37603),f118(x37601)))),x37602) % 166.52/166.33 [3761]E(f147(x37611,f329(f329(f137(x37611),x37612),f329(f329(f154(x37611),x37613),f118(x37611)))),x37613) % 166.52/166.33 [3770]E(f329(f329(f137(x37701),f329(f329(f178(x37701),x37702),x37703)),f329(f329(f141(x37701),x37702),x37703)),x37703) % 166.52/166.33 [3779]E(f329(f329(f23(a910),f329(f329(f82(a910),x37791),x37792)),f329(f329(f82(a910),x37793),x37792)),f329(f329(f23(a910),x37791),x37793)) % 166.52/166.33 [3780]E(f329(f329(f23(a910),f329(f329(f82(a910),x37801),x37802)),f329(f329(f82(a910),x37801),x37803)),f329(f329(f23(a910),x37802),x37803)) % 166.52/166.33 [3786]E(f329(f329(f137(x37861),f329(f171(x37861),x37862)),f329(f329(f154(x37861),x37863),f118(x37861))),f329(f171(x37861),f329(f329(f154(x37861),x37863),x37862))) % 166.52/166.33 [3788]E(f329(f329(f82(a910),f329(f192(f911(x37881)),x37882)),f329(f192(f911(x37881)),x37883)),f329(f192(f911(x37881)),f329(f329(f137(x37881),x37882),x37883))) % 166.52/166.33 [3791]E(f329(f329(f82(a910),f329(f192(f911(x37911)),x37912)),f329(f192(f911(x37911)),x37913)),f329(f192(f911(x37911)),f176(x37911,x37912,x37913))) % 166.52/166.33 [3799]E(f329(f329(f115(f918(x37991,a905)),f329(f175(x37991),x37992)),f329(f175(x37991),x37993)),f329(f175(x37991),f329(f329(f137(x37991),x37992),x37993))) % 166.52/166.33 [3800]E(f46(a910,f329(f329(f83(a910),x38001),x38002),f329(f329(f83(a910),x38001),x38003)),f329(f329(f83(a910),x38001),f46(a910,x38002,x38003))) % 166.52/166.33 [3812]E(f329(f329(f178(x38121),f329(f329(f23(a910),x38122),f80(a910))),f329(f174(x38121),x38123)),f329(f174(x38121),f329(f329(f178(x38121),x38122),x38123))) % 166.52/166.33 [3817]E(f329(f329(f106(f918(x38171,a905)),x38172),f329(f81(f918(x38171,a905)),x38173)),f329(f329(f23(f918(x38171,a905)),x38172),x38173)) % 166.52/166.33 [3818]E(f329(f329(f23(f918(x38181,a905)),x38182),f329(f81(f918(x38181,a905)),x38183)),f329(f329(f106(f918(x38181,a905)),x38182),x38183)) % 166.52/166.33 [3841]E(f329(f329(f259(x38411,x38412),x38413),f329(f16(f918(x38412,a905),x38411),f191(f918(x38412,a905)))),f191(f918(f917(x38411,x38412),a905))) % 166.52/166.33 [3843]E(f329(f329(f82(a910),f329(f329(f83(a910),x38431),x38432)),f329(f329(f83(a910),x38431),x38433)),f329(f329(f83(a910),x38431),f329(f329(f82(a910),x38432),x38433))) % 166.52/166.33 [3844]E(f329(f329(f23(a910),f329(f329(f83(a910),x38441),x38442)),f329(f329(f83(a910),x38441),x38443)),f329(f329(f83(a910),x38441),f329(f329(f23(a910),x38442),x38443))) % 166.52/166.33 [3845]E(f329(f329(f82(a1),f329(f329(f83(a1),x38451),x38452)),f329(f329(f83(a1),x38451),x38453)),f329(f329(f83(a1),x38451),f329(f329(f82(a1),x38452),x38453))) % 166.52/166.33 [3846]E(f329(f329(f23(a1),f329(f329(f83(a1),x38461),x38462)),f329(f329(f83(a1),x38461),x38463)),f329(f329(f83(a1),x38461),f329(f329(f23(a1),x38462),x38463))) % 166.52/166.33 [3847]E(f329(f329(f83(a1),f329(f329(f249(a1),x38471),x38472)),f329(f329(f249(a1),x38471),x38473)),f329(f329(f249(a1),x38471),f329(f329(f82(a910),x38472),x38473))) % 166.52/166.33 [3861]E(f329(f329(f40(x38611,f918(x38612,a905)),x38613),f329(f16(f918(x38612,a905),x38611),f191(f918(x38612,a905)))),f191(f918(x38612,a905))) % 166.52/166.33 [3863]E(f46(a910,f329(f329(f83(a910),x38631),x38632),f329(f329(f83(a910),x38633),x38632)),f329(f329(f83(a910),f46(a910,x38631,x38633)),x38632)) % 166.52/166.33 [3868]E(f46(a1,f329(f329(f23(a1),x38681),f46(a1,x38682,x38683)),x38683),f46(a1,f329(f329(f23(a1),x38681),x38682),x38683)) % 166.52/166.33 [3869]E(f46(a1,f329(f329(f83(a1),x38691),f46(a1,x38692,x38693)),x38693),f46(a1,f329(f329(f83(a1),x38691),x38692),x38693)) % 166.52/166.33 [3870]P1(f329(f329(f239(f918(x38701,a905)),x38702),f329(f329(f311(x38701),x38703),x38702))) % 166.52/166.33 [3946]E(f329(f329(f41(f918(x39461,a905),f918(x39461,a905)),x39462),f329(f115(f918(x39461,a905)),x39463)),f329(f329(f115(f918(x39461,a905)),x39463),f39(f918(x39461,a905),x39462))) % 166.52/166.33 [3947]E(f329(f329(f40(f918(x39471,a905),f918(x39471,a905)),x39472),f329(f106(f918(x39471,a905)),x39473)),f329(f329(f106(f918(x39471,a905)),x39473),f38(f918(x39471,a905),x39472))) % 166.52/166.33 [3958]E(f329(f175(x39581),f329(f329(f329(f186(f911(x39581),f911(x39581)),x39582),f170(x39581)),x39583)),f329(f175(x39581),x39583)) % 166.52/166.33 [3962]E(f329(f329(f178(x39621),f329(f192(f911(x39621)),f180(x39621,x39622,x39623))),x39623),f180(x39621,x39622,x39623)) % 166.52/166.33 [3966]E(f329(f192(f911(x39661)),f329(f329(f329(f186(f911(x39661),f911(x39661)),x39662),f170(x39661)),x39663)),f329(f192(f911(x39661)),x39663)) % 166.52/166.33 [3969]E(f329(f329(f262(x39691,x39692,x39692),f329(f16(f918(x39692,x39692),x39691),f5(x39692))),x39693),f329(f261(x39691,x39692),x39693)) % 166.52/166.33 [3976]E(f46(a1,f329(f329(f23(a1),f46(a1,x39761,x39762)),x39763),x39762),f46(a1,f329(f329(f23(a1),x39761),x39763),x39762)) % 166.52/166.33 [3977]E(f46(a1,f329(f329(f249(a1),f46(a1,x39771,x39772)),x39773),x39772),f46(a1,f329(f329(f249(a1),x39771),x39773),x39772)) % 166.52/166.33 [3980]E(f329(f329(f40(f918(f917(x39801,x39802),a905),f918(x39802,a905)),x39803),f287(x39801,x39802)),f329(f287(x39801,x39802),f38(f918(f917(x39801,x39802),a905),x39803))) % 166.52/166.33 [3981]E(f329(f329(f40(f918(f917(x39811,x39812),a905),f918(x39811,a905)),x39813),f269(x39811,x39812)),f329(f269(x39811,x39812),f38(f918(f917(x39811,x39812),a905),x39813))) % 166.52/166.33 [4005]E(f329(f74(x40051,x40051,x40051,x40052),f329(f329(f186(x40051,x40051),x40053),x40052)),f329(f329(f186(x40051,x40051),f329(a117,x40053)),x40052)) % 166.52/166.33 [4023]E(f329(f329(f141(x40231),f329(f329(f23(a910),f329(f192(f911(x40231)),x40232)),x40233)),f329(f171(x40231),x40232)),f329(f171(x40231),f329(f329(f178(x40231),x40233),x40232))) % 166.52/166.33 [4024]E(f329(f329(f178(x40241),f329(f329(f23(a910),f329(f192(f911(x40241)),x40242)),x40243)),f329(f171(x40241),x40242)),f329(f171(x40241),f329(f329(f141(x40241),x40243),x40242))) % 166.52/166.33 [4026]E(f329(f329(f82(a910),f329(f168(a910),f329(f329(f157(x40261,a910),x40262),x40263))),f329(f192(f911(x40261)),x40263)),f158(x40261,x40262,x40263)) % 166.52/166.33 [4045]E(f329(f170(x40451),f329(f329(f329(f186(f911(x40451),f911(x40451)),x40452),f170(x40451)),x40453)),f329(f329(f329(f186(f911(x40451),f911(x40451)),f329(a117,x40452)),f170(x40451)),x40453)) % 166.52/166.33 [4059]P1(f329(f329(f239(a910),f329(f192(f911(x40591)),f329(f139(x40591,x40592),x40593))),f329(f192(f911(x40591)),x40593))) % 166.52/166.33 [4075]E(f329(f329(f115(f918(f918(x40751,a905),a905)),f329(f310(x40751),x40752)),f329(f312(f918(x40751,a905),f918(x40751,a905),f329(f311(x40751),x40753)),f329(f310(x40751),x40752))),f329(f310(x40751),f329(f329(f311(x40751),x40753),x40752))) % 166.52/166.33 [4094]P29(x40941,x40942,f329(f329(f311(f909(x40941)),f329(f329(f329(f93(x40941),x40943),a25),x40943)),f191(f918(f909(x40941),a905)))) % 166.52/166.33 [4108]P1(f329(f329(f239(a910),f329(f192(f911(x41081)),f180(x41081,x41082,x41083))),f329(f192(f911(x41081)),x41083))) % 166.52/166.33 [4115]E(f329(f269(x41151,x41152),f329(f267(f917(x41151,x41152)),f329(f262(x41151,x41152,a905),x41153))),f329(f267(x41151),f329(f329(f8(f918(x41152,a905),a905,x41151),f89(x41152)),x41153))) % 166.52/166.33 [4127]E(f329(f312(a910,a910,f329(f329(f7(a910,a910,a910),f82(a910)),x41271)),f305(a910,x41272,x41273)),f305(a910,f329(f329(f82(a910),x41272),x41271),f329(f329(f82(a910),x41273),x41271))) % 166.52/166.33 [4141]E(f329(f312(a910,a910,f329(f329(f7(a910,a910,a910),f82(a910)),x41411)),f329(f304(a910,x41412),x41413)),f329(f304(a910,f329(f329(f82(a910),x41412),x41411)),f329(f329(f82(a910),x41413),x41411))) % 166.52/166.33 [4159]E(f329(f329(f184(x41591,x41592),f329(f329(f157(f917(x41591,x41592),x41591),f256(x41591,x41592)),x41593)),f329(f329(f157(f917(x41591,x41592),x41592),f261(x41591,x41592)),x41593)),x41593) % 166.52/166.33 [4164]E(f329(f329(f82(a910),f329(f329(f83(a910),x41641),f46(a910,f329(f329(f37(a910),x41642),x41641),x41643))),f46(a910,x41642,x41641)),f46(a910,x41642,f329(f329(f83(a910),x41641),x41643))) % 166.52/166.33 [4177]E(f329(f329(f137(x41771),x41772),f329(f145(f911(x41771),f911(x41771),f137(x41771),f118(x41771)),x41773)),f329(f145(f911(x41771),f911(x41771),f137(x41771),x41772),x41773)) % 166.52/166.33 [4198]P1(f329(f329(f331(f917(x41981,x41981)),f329(f329(f257(x41981,x41981),x41982),x41982)),f329(f329(f186(f917(x41981,x41981),a905),f2(a910)),x41983))) % 166.52/166.33 [4203]E(f329(f267(x42031),f329(f329(f8(f918(x42032,a905),a905,x42031),f89(x42032)),f329(f7(x42032,x42031,a905),x42033))),f329(f287(x42032,x42031),f329(f267(f917(x42032,x42031)),f329(f262(x42032,x42031,a905),x42033)))) % 166.52/166.33 [4220]E(f329(f329(f115(f918(x42201,a905)),f329(f329(f40(a910,f918(x42201,a905)),f305(a910,f80(a910),x42202)),x42203)),f329(x42203,f2(a910))),f329(f329(f40(a910,f918(x42201,a905)),f329(f303(a910),x42202)),x42203)) % 166.52/166.33 [4235]E(f329(f145(f911(x42351),f911(x42351),f137(x42351),f118(x42351)),f329(f329(f157(f911(x42351),f911(x42351)),f139(x42351,x42352)),x42353)),f329(f139(x42351,x42352),f329(f145(f911(x42351),f911(x42351),f137(x42351),f118(x42351)),x42353))) % 166.52/166.33 [4239]E(f329(f261(f911(x42391),f911(x42391)),f169(x42391,x42392,x42393)),f329(f139(x42391,f329(f74(a905,a905,x42391,a324),x42392)),x42393)) % 166.52/166.33 [4284]E(f329(f329(f82(a1),f329(f329(f82(a1),f329(f329(f83(a1),x42841),f329(f329(f37(a1),x42842),x42841))),f46(a1,x42842,x42841))),x42843),f329(f329(f82(a1),x42842),x42843)) % 166.52/166.33 [4321]E(f329(f329(f82(a1),f329(f329(f82(a1),f329(f329(f83(a1),f329(f329(f37(a1),x43211),x43212)),x43212)),f46(a1,x43211,x43212))),x43213),f329(f329(f82(a1),x43211),x43213)) % 166.52/166.34 [4347]E(f87(f917(x43471,x43472),f329(f262(x43471,x43472,a905),f329(f329(f8(f918(x43472,f917(x43471,x43472)),f918(x43472,a905),x43471),f329(f8(f917(x43471,x43472),a905,x43472),x43473)),f257(x43471,x43472)))),f87(f917(x43471,x43472),x43473)) % 166.52/166.34 [4348]E(f92(f917(x43481,x43482),f329(f262(x43481,x43482,a905),f329(f329(f8(f918(x43482,f917(x43481,x43482)),f918(x43482,a905),x43481),f329(f8(f917(x43481,x43482),a905,x43482),x43483)),f257(x43481,x43482)))),f92(f917(x43481,x43482),x43483)) % 166.52/166.34 [4375]P1(f329(f329(f239(f918(x43751,a905)),f38(f918(x43751,a905),f329(f329(f106(f918(f918(x43751,a905),a905)),x43752),x43753))),f329(f329(f106(f918(x43751,a905)),f38(f918(x43751,a905),x43752)),f38(f918(x43751,a905),x43753)))) % 166.52/166.34 [4376]E(f329(f171(x43761),f329(f329(f329(f186(f911(x43761),f911(x43761)),f329(f329(f23(a910),f329(f192(f911(x43761)),x43762)),f46(a910,x43763,f329(f192(f911(x43761)),x43762)))),f170(x43761)),x43762)),f329(f329(f329(f186(f911(x43761),f911(x43761)),x43763),f170(x43761)),f329(f171(x43761),x43762))) % 166.52/166.34 [4413]P1(f329(f329(f239(a910),f329(f192(f911(x44131)),f329(f329(f141(x44131),f329(f192(f911(x44131)),f180(x44131,x44132,x44133))),x44133))),f329(f192(f911(x44131)),x44133))) % 166.52/166.34 [4662]~P1(f329(f63(x46621,x46622,f191(f918(x46621,a905))),x46623)) % 166.52/166.34 [4667]~P1(f329(f329(f331(f917(x46671,x46671)),f329(f329(f257(x46671,x46671),x46672),x46673)),f156(x46671,f118(f918(x46671,a910))))) % 166.52/166.34 [3728]E(f329(f192(f911(x37281)),f329(f329(f178(x37281),x37282),x37283)),f329(f329(f237(a910),f329(f192(f911(x37281)),x37283)),x37282)) % 166.52/166.34 [3729]E(f329(f192(f911(x37291)),f329(f329(f141(x37291),x37292),x37293)),f329(f329(f23(a910),f329(f192(f911(x37291)),x37293)),x37292)) % 166.52/166.34 [3755]E(f329(f192(f911(f911(x37551))),f56(x37551,x37552,x37553)),f329(f329(f249(a910),f329(f192(f911(x37551)),x37553)),x37552)) % 166.52/166.34 [3772]E(f329(f329(f37(a910),f329(f329(f37(a910),x37721),x37722)),x37723),f329(f329(f37(a910),x37721),f329(f329(f83(a910),x37722),x37723))) % 166.52/166.34 [3773]E(f329(f329(f82(a910),f329(f329(f82(a910),x37731),x37732)),x37733),f329(f329(f82(a910),x37731),f329(f329(f82(a910),x37732),x37733))) % 166.52/166.34 [3774]E(f329(f329(f82(a1),f329(f329(f82(a1),x37741),x37742)),x37743),f329(f329(f82(a1),x37741),f329(f329(f82(a1),x37742),x37743))) % 166.52/166.34 [3775]E(f329(f329(f23(a910),f329(f329(f23(a910),x37751),x37752)),x37753),f329(f329(f23(a910),x37751),f329(f329(f82(a910),x37752),x37753))) % 166.52/166.34 [3776]E(f329(f329(f83(a910),f329(f329(f83(a910),x37761),x37762)),x37763),f329(f329(f83(a910),x37761),f329(f329(f83(a910),x37762),x37763))) % 166.52/166.34 [3777]E(f329(f329(f83(a1),f329(f329(f83(a1),x37771),x37772)),x37773),f329(f329(f83(a1),x37771),f329(f329(f83(a1),x37772),x37773))) % 166.52/166.34 [3778]E(f329(f329(f249(a1),f329(f329(f249(a1),x37781),x37782)),x37783),f329(f329(f249(a1),x37781),f329(f329(f83(a910),x37782),x37783))) % 166.52/166.34 [3797]E(f165(x37971,f329(f329(f154(f918(x37971,a905)),x37972),x37973)),f177(x37971,x37972,f165(x37971,x37973))) % 166.52/166.34 [3842]E(f329(f329(f23(a910),f329(f329(f23(a910),x38421),x38422)),x38423),f329(f329(f23(a910),f329(f329(f23(a910),x38421),x38423)),x38422)) % 166.52/166.34 [3850]E(f329(f329(f106(f918(x38501,a905)),x38502),f329(f329(f23(f918(x38501,a905)),x38503),x38502)),f191(f918(x38501,a905))) % 166.52/166.34 [3854]E(f329(f329(f157(a910,x38541),f329(f16(x38541,a910),x38542)),f142(a910,f329(f304(a910,f2(a910)),x38543))),f172(x38541,x38543,x38542)) % 166.52/166.34 [3892]E(f39(f918(x38921,a905),f329(f329(f311(f918(x38921,a905)),x38922),x38923)),f329(f329(f106(f918(x38921,a905)),x38922),f39(f918(x38921,a905),x38923))) % 166.52/166.34 [3893]E(f38(f918(x38931,a905),f329(f329(f311(f918(x38931,a905)),x38932),x38933)),f329(f329(f115(f918(x38931,a905)),x38932),f38(f918(x38931,a905),x38933))) % 166.52/166.34 [3895]E(f172(x38951,f329(f192(f911(x38951)),f329(f139(x38951,f329(a326,x38952)),x38953)),x38952),f329(f139(x38951,f329(a326,x38952)),x38953)) % 166.52/166.34 [3897]E(f329(f329(f82(a910),f329(f329(f83(a910),x38971),x38972)),f329(f329(f83(a910),x38973),x38972)),f329(f329(f83(a910),f329(f329(f82(a910),x38971),x38973)),x38972)) % 166.52/166.34 [3898]E(f329(f329(f23(a910),f329(f329(f83(a910),x38981),x38982)),f329(f329(f83(a910),x38983),x38982)),f329(f329(f83(a910),f329(f329(f23(a910),x38981),x38983)),x38982)) % 166.52/166.34 [3899]E(f329(f329(f82(a1),f329(f329(f83(a1),x38991),x38992)),f329(f329(f83(a1),x38993),x38992)),f329(f329(f83(a1),f329(f329(f82(a1),x38991),x38993)),x38992)) % 166.52/166.34 [3901]E(f329(f329(f23(a1),f329(f329(f83(a1),x39011),x39012)),f329(f329(f83(a1),x39013),x39012)),f329(f329(f83(a1),f329(f329(f23(a1),x39011),x39013)),x39012)) % 166.52/166.34 [3902]E(f329(f329(f237(a910),f329(f329(f23(a910),x39021),x39022)),f329(f329(f23(a910),x39023),x39022)),f329(f329(f23(a910),f329(f329(f237(a910),x39021),x39023)),x39022)) % 166.52/166.34 [3924]E(f329(f329(f106(f918(f911(x39241),a905)),f163(x39241,x39242)),f163(x39241,x39243)),f163(x39241,f329(f329(f106(f918(x39241,a905)),x39242),x39243))) % 166.52/166.34 [3927]E(f329(f329(f115(f918(x39271,a905)),x39272),f329(f329(f115(f918(x39271,a905)),x39272),x39273)),f329(f329(f115(f918(x39271,a905)),x39272),x39273)) % 166.52/166.34 [3928]E(f329(f329(f115(f918(x39281,a905)),x39282),f329(f329(f23(f918(x39281,a905)),x39283),x39282)),f329(f329(f115(f918(x39281,a905)),x39282),x39283)) % 166.52/166.34 [3929]E(f329(f329(f106(f918(x39291,a905)),x39292),f329(f329(f106(f918(x39291,a905)),x39292),x39293)),f329(f329(f106(f918(x39291,a905)),x39292),x39293)) % 166.52/166.34 [3941]E(f329(f329(f291(x39411,x39412,x39412),x39413),f309(x39412,f191(f918(f917(x39412,x39412),a905)))),x39413) % 166.52/166.34 [3944]E(f329(f329(f115(f918(x39441,a905)),f329(f329(f311(x39441),x39442),f191(f918(x39441,a905)))),x39443),f329(f329(f311(x39441),x39442),x39443)) % 166.52/166.34 [3961]E(f329(f329(f23(a910),f329(f329(f23(a910),f329(a117,x39611)),x39612)),f329(a117,x39613)),f329(f329(f23(a910),f329(f329(f23(a910),x39611),x39612)),x39613)) % 166.52/166.34 [3989]E(f329(f329(f106(f918(f918(x39891,a905),a905)),f329(f310(x39891),x39892)),f329(f310(x39891),x39893)),f329(f310(x39891),f329(f329(f106(f918(x39891,a905)),x39892),x39893))) % 166.52/166.34 [3992]E(f329(f329(f115(f918(x39921,a905)),f329(f81(f918(x39921,a905)),x39922)),x39923),f329(f81(f918(x39921,a905)),f329(f329(f23(f918(x39921,a905)),x39922),x39923))) % 166.52/166.34 [4002]E(f329(f329(f311(x40021),x40022),f329(f329(f23(f918(x40021,a905)),x40023),f329(f329(f311(x40021),x40022),f191(f918(x40021,a905))))),f329(f329(f311(x40021),x40022),x40023)) % 166.52/166.34 [4012]P1(f329(f329(f239(f918(x40121,a905)),x40122),f329(f329(f115(f918(x40121,a905)),x40123),x40122))) % 166.52/166.34 [4013]P1(f329(f329(f239(f918(x40131,a905)),x40132),f329(f329(f115(f918(x40131,a905)),x40132),x40133))) % 166.52/166.34 [4017]E(f329(f329(f106(f918(x40171,a905)),f329(f81(f918(x40171,a905)),x40172)),f329(f81(f918(x40171,a905)),x40173)),f329(f81(f918(x40171,a905)),f329(f329(f115(f918(x40171,a905)),x40172),x40173))) % 166.52/166.34 [4018]E(f329(f329(f115(f918(x40181,a905)),f329(f81(f918(x40181,a905)),x40182)),f329(f81(f918(x40181,a905)),x40183)),f329(f81(f918(x40181,a905)),f329(f329(f106(f918(x40181,a905)),x40182),x40183))) % 166.52/166.34 [4031]P1(f329(f329(f239(f918(x40311,a905)),f329(f175(x40311),x40312)),f329(f175(x40311),f329(f329(f154(x40311),x40313),x40312)))) % 166.52/166.34 [4043]E(f329(f329(f115(f918(x40431,a905)),f329(f329(f23(f918(x40431,a905)),x40432),x40433)),f329(f329(f106(f918(x40431,a905)),x40432),x40433)),x40432) % 166.52/166.34 [4096]E(f329(f329(f6(x40961,a1),f329(f329(f8(a910,a1,x40961),f105(a1)),x40962)),x40963),f329(f105(a1),f329(f329(f6(x40961,a910),x40962),x40963))) % 166.52/166.34 [4097]E(f329(f329(f9(x40971,a1),f329(f329(f8(a910,a1,x40971),f105(a1)),x40972)),x40973),f329(f105(a1),f329(f329(f9(x40971,a910),x40972),x40973))) % 166.52/166.34 [4143]E(f329(f329(f137(x41431),f180(x41431,x41432,x41433)),f329(f329(f141(x41431),f329(f192(f911(x41431)),f180(x41431,x41432,x41433))),x41433)),x41433) % 166.52/166.34 [4147]E(f329(f81(f918(f917(x41471,x41472),a905)),f329(f329(f259(x41471,x41472),x41473),f329(f16(f918(x41472,a905),x41471),f247(f918(x41472,a905))))),f329(f329(f259(x41471,x41472),f329(f81(f918(x41471,a905)),x41473)),f329(f16(f918(x41472,a905),x41471),f247(f918(x41472,a905))))) % 166.52/166.34 [4148]E(f329(f81(f918(f917(x41481,x41482),a905)),f329(f329(f259(x41481,x41482),f247(f918(x41481,a905))),f329(f16(f918(x41482,a905),x41481),x41483))),f329(f329(f259(x41481,x41482),f247(f918(x41481,a905))),f329(f16(f918(x41482,a905),x41481),f329(f81(f918(x41482,a905)),x41483)))) % 166.52/166.34 [4199]E(f329(f329(f40(f918(x41991,a905),f918(x41991,a905)),x41992),f329(f329(f7(f918(x41991,a905),f918(x41991,a905),f918(x41991,a905)),f106(f918(x41991,a905))),x41993)),f329(f329(f106(f918(x41991,a905)),f38(f918(x41991,a905),x41992)),x41993)) % 166.52/166.34 [4205]E(f329(f145(f911(x42051),f911(x42051),f137(x42051),f118(x42051)),f329(f329(f154(f911(x42051)),x42052),x42053)),f329(f329(f137(x42051),x42052),f329(f145(f911(x42051),f911(x42051),f137(x42051),f118(x42051)),x42053))) % 166.52/166.34 [4226]E(f329(f329(f311(f918(x42261,a905)),f329(f288(x42261,x42261,x42262),f329(f329(f311(x42261),x42263),f191(f918(x42261,a905))))),f191(f918(f918(x42261,a905),a905))),f329(f329(f61(x42261),f329(f329(f311(x42261),x42263),f191(f918(x42261,a905)))),x42262)) % 166.52/166.34 [4236]E(f329(f329(f82(a910),f329(f329(f83(a910),x42361),f329(f329(f37(a910),x42362),x42363))),f329(f329(f37(a910),f329(f329(f83(a910),x42361),f46(a910,x42362,x42363))),x42363)),f329(f329(f37(a910),f329(f329(f83(a910),x42361),x42362)),x42363)) % 166.52/166.34 [4237]E(f329(f329(f82(a1),f329(f329(f83(a1),x42371),f329(f329(f37(a1),x42372),x42373))),f329(f329(f37(a1),f329(f329(f83(a1),x42371),f46(a1,x42372,x42373))),x42373)),f329(f329(f37(a1),f329(f329(f83(a1),x42371),x42372)),x42373)) % 166.52/166.34 [4269]E(f329(f329(f23(f918(x42691,a905)),f329(f175(x42691),x42692)),f329(f329(f311(x42691),x42693),f191(f918(x42691,a905)))),f329(f175(x42691),f329(f139(x42691,f329(f329(f8(a905,a905,x42691),a324),f329(a326,x42693))),x42692))) % 166.52/166.34 [4319]E(f329(f329(f137(x43191),f329(f145(f911(x43191),f911(x43191),f137(x43191),f118(x43191)),x43192)),f329(f145(f911(x43191),f911(x43191),f137(x43191),f118(x43191)),x43193)),f329(f145(f911(x43191),f911(x43191),f137(x43191),f118(x43191)),f329(f329(f137(f911(x43191)),x43192),x43193))) % 166.52/166.34 [4322]E(f329(f329(f257(f911(x43221),f911(x43221)),f329(f139(x43221,x43222),x43223)),f329(f139(x43221,f329(f74(a905,a905,x43221,a324),x43222)),x43223)),f169(x43221,x43222,x43223)) % 166.52/166.34 [4325]E(f329(f329(f82(a910),f329(f329(f82(a910),f329(f329(f37(a910),x43251),x43252)),f329(f329(f37(a910),x43253),x43252))),f329(f329(f37(a910),f329(f329(f82(a910),f46(a910,x43251,x43252)),f46(a910,x43253,x43252))),x43252)),f329(f329(f37(a910),f329(f329(f82(a910),x43251),x43253)),x43252)) % 166.52/166.34 [4326]E(f329(f329(f82(a1),f329(f329(f82(a1),f329(f329(f37(a1),x43261),x43262)),f329(f329(f37(a1),x43263),x43262))),f329(f329(f37(a1),f329(f329(f82(a1),f46(a1,x43261,x43262)),f46(a1,x43263,x43262))),x43262)),f329(f329(f37(a1),f329(f329(f82(a1),x43261),x43263)),x43262)) % 166.52/166.34 [4379]E(f329(f329(f106(f918(f911(x43791),a905)),f329(f329(f7(f911(x43791),f918(f911(x43791),a905),a905),f331(f911(x43791))),f164(x43791,x43792))),f329(f329(f7(f911(x43791),f918(f911(x43791),a905),a905),f331(f911(x43791))),f164(x43791,x43793))),f163(x43791,f329(f329(f106(f918(x43791,a905)),f329(f329(f7(x43791,f918(x43791,a905),a905),f331(x43791)),x43792)),f329(f329(f7(x43791,f918(x43791,a905),a905),f331(x43791)),x43793)))) % 166.52/166.34 [4391]E(f329(f267(x43911),f329(f329(f18(x43911,a905,a905),f329(f329(f8(a905,f918(a905,a905),x43911),a328),f329(f329(f7(x43911,x43911,a905),a326),x43912))),f329(f329(f7(x43911,f918(x43911,a905),a905),f331(x43911)),x43913))),f329(f329(f311(x43911),x43912),x43913)) % 166.52/166.34 [4411]E(f329(f329(f88(f911(f911(x44111)),f911(f911(x44111))),f55(x44111,x44112)),f329(f329(f18(f911(f911(x44111)),f911(f911(x44111)),f911(f911(x44111))),f329(f329(f8(f911(f911(x44111)),f918(f911(f911(x44111)),f911(f911(x44111))),f911(f911(x44111))),f137(f911(x44111))),f329(f157(f911(x44111),f911(x44111)),f329(f154(x44111),x44113)))),f5(f911(f911(x44111))))),f55(x44111,f329(f329(f154(x44111),x44113),x44112))) % 166.52/166.34 [4414]E(f329(f267(x44141),f329(f329(f18(x44141,a905,a905),f329(f329(f8(a905,f918(a905,a905),x44141),a328),f329(f329(f7(x44141,f918(x44141,a905),a905),f331(x44141)),x44142))),f329(f329(f7(x44141,f918(x44141,a905),a905),f331(x44141)),x44143))),f329(f329(f115(f918(x44141,a905)),x44142),x44143)) % 166.52/166.34 [4415]E(f329(f267(x44151),f329(f329(f18(x44151,a905,a905),f329(f329(f8(a905,f918(a905,a905),x44151),a327),f329(f329(f7(x44151,f918(x44151,a905),a905),f331(x44151)),x44152))),f329(f329(f7(x44151,f918(x44151,a905),a905),f331(x44151)),x44153))),f329(f329(f106(f918(x44151,a905)),x44152),x44153)) % 166.52/166.34 [4504]E(f329(f329(f40(x45041,f918(f918(x45041,a905),a905)),x45042),f329(f329(f7(x45041,f918(f918(x45041,a905),a905),f918(f918(x45041,a905),a905)),f329(f329(f8(f918(x45041,a905),f918(f918(f918(x45041,a905),a905),f918(f918(x45041,a905),a905)),x45041),f311(f918(x45041,a905))),f329(f329(f8(f918(x45041,a905),f918(x45041,a905),x45041),f288(x45041,x45041,x45043)),f329(f329(f7(x45041,f918(x45041,a905),f918(x45041,a905)),f311(x45041)),f191(f918(x45041,a905)))))),f191(f918(f918(x45041,a905),a905)))),f329(f329(f61(x45041),x45042),x45043)) % 166.52/166.34 [4506]E(f329(f329(f205(x45061),f329(f329(f83(a1),f329(f329(f74(f917(a1,a1),a1,x45061,f256(a1,a1)),f216(x45061)),x45062)),f329(f329(f74(f917(a1,a1),a1,x45061,f256(a1,a1)),f216(x45061)),x45063))),f329(f329(f83(a1),f329(f329(f74(f917(a1,a1),a1,x45061,f261(a1,a1)),f216(x45061)),x45062)),f329(f329(f74(f917(a1,a1),a1,x45061,f261(a1,a1)),f216(x45061)),x45063))),f232(x45061,x45062,x45063)) % 166.52/166.34 [4509]E(f329(f267(f911(x45091)),f329(f329(f18(f911(x45091),a905,a905),f329(f329(f8(a905,f918(a905,a905),f911(x45091)),a327),f329(f329(f7(f911(x45091),a910,a905),f329(f329(f8(a910,f918(a910,a905),f911(x45091)),a326),f192(f911(x45091)))),x45092))),f329(f329(f7(f911(x45091),f918(x45091,a905),a905),f329(f329(f8(f918(x45091,a905),f918(f918(x45091,a905),a905),f911(x45091)),f239(f918(x45091,a905))),f175(x45091))),f329(f175(x45091),x45093)))),f329(f175(f911(x45091)),f56(x45091,x45092,x45093))) % 166.52/166.34 [3915]E(f46(a910,f329(f329(f82(a910),f329(f329(f83(a910),x39151),x39152)),x39153),x39152),f46(a910,x39153,x39152)) % 166.52/166.34 [3960]E(f142(a910,f329(f304(a910,f329(f329(f82(a910),x39601),x39602)),x39603)),f329(f329(f141(a910),x39602),f142(a910,f329(f304(a910,x39601),x39603)))) % 166.52/166.34 [4001]E(f329(f329(f82(a1),f329(f105(a1),x40011)),f329(f329(f82(a1),f329(f105(a1),x40012)),x40013)),f329(f329(f82(a1),f329(f105(a1),f329(f329(f82(a910),x40011),x40012))),x40013)) % 166.52/166.34 [4008]E(f329(f329(f115(f918(x40081,a905)),f329(f329(f23(f918(x40081,a905)),x40082),x40083)),x40083),f329(f329(f115(f918(x40081,a905)),x40082),x40083)) % 166.52/166.34 [4009]E(f329(f329(f23(f918(x40091,a905)),f329(f329(f23(f918(x40091,a905)),x40092),x40093)),x40093),f329(f329(f23(f918(x40091,a905)),x40092),x40093)) % 166.52/166.34 [4032]E(f329(f329(f291(x40321,x40321,x40322),f309(x40321,f191(f918(f917(x40321,x40321),a905)))),x40323),x40323) % 166.52/166.34 [4040]E(f329(f329(f115(f918(x40401,a905)),f329(f284(x40401),x40402)),f329(f284(x40401),x40403)),f329(f284(x40401),f329(f329(f115(f918(f917(x40401,x40401),a905)),x40402),x40403))) % 166.52/166.34 [4050]E(f271(x40501,f329(f329(f154(f917(a104,x40501)),f329(f329(f257(a104,x40501),f2(a104)),x40502)),x40503)),f271(x40501,x40503)) % 166.52/166.34 [4052]E(f329(f329(f106(f918(x40521,a905)),f39(f918(x40521,a905),x40522)),f39(f918(x40521,a905),x40523)),f39(f918(x40521,a905),f329(f329(f115(f918(f918(x40521,a905),a905)),x40522),x40523))) % 166.52/166.34 [4053]E(f329(f329(f115(f918(x40531,a905)),f38(f918(x40531,a905),x40532)),f38(f918(x40531,a905),x40533)),f38(f918(x40531,a905),f329(f329(f115(f918(f918(x40531,a905),a905)),x40532),x40533))) % 166.52/166.34 [4090]E(f329(f329(f291(x40901,x40901,x40901),f329(f329(f186(f917(x40901,x40901),a905),x40902),x40903)),x40903),f329(f329(f186(f917(x40901,x40901),a905),f329(a117,x40902)),x40903)) % 166.52/166.34 [4135]P1(f329(f329(f239(f918(x41351,a905)),f329(f329(f23(f918(x41351,a905)),x41352),x41353)),x41352)) % 166.52/166.34 [4136]P1(f329(f329(f239(f918(x41361,a905)),f329(f329(f106(f918(x41361,a905)),x41362),x41363)),x41363)) % 166.52/166.34 [4137]P1(f329(f329(f239(f918(x41371,a905)),f329(f329(f106(f918(x41371,a905)),x41372),x41373)),x41372)) % 166.52/166.34 [4161]E(f309(x41611,f329(f329(f115(f918(f917(x41611,x41611),a905)),f309(x41611,x41612)),f309(x41611,x41613))),f309(x41611,f329(f329(f115(f918(f917(x41611,x41611),a905)),x41612),x41613))) % 166.52/166.34 [4165]E(f38(f918(x41651,a905),f329(f329(f311(f918(x41651,a905)),x41652),f329(f329(f311(f918(x41651,a905)),x41653),f191(f918(f918(x41651,a905),a905))))),f329(f329(f115(f918(x41651,a905)),x41652),x41653)) % 166.52/166.34 [4166]E(f39(f918(x41661,a905),f329(f329(f311(f918(x41661,a905)),x41662),f329(f329(f311(f918(x41661,a905)),x41663),f191(f918(f918(x41661,a905),a905))))),f329(f329(f106(f918(x41661,a905)),x41662),x41663)) % 166.52/166.34 [4171]E(f329(f329(f291(x41711,x41711,x41711),f329(f329(f186(f917(x41711,x41711),a905),x41712),x41713)),x41713),f329(f329(f291(x41711,x41711,x41711),x41713),f329(f329(f186(f917(x41711,x41711),a905),x41712),x41713))) % 166.52/166.34 [4240]E(f329(f329(f115(f918(x42401,a905)),f329(f267(x42401),f329(f329(f7(x42401,x42401,a905),a326),x42402))),x42403),f329(f329(f311(x42401),x42402),x42403)) % 166.52/166.34 [4242]E(f329(a109,f329(f329(f6(x42421,a1),f329(f329(f8(a910,a1,x42421),f105(a1)),x42422)),x42423)),f329(f329(f6(x42421,a910),x42422),x42423)) % 166.52/166.34 [4243]E(f329(a109,f329(f329(f9(x42431,a1),f329(f329(f8(a910,a1,x42431),f105(a1)),x42432)),x42433)),f329(f329(f9(x42431,a910),x42432),x42433)) % 166.52/166.34 [4316]E(f329(f159(f911(x43161),x43161,f329(f174(x43161),x43162),f329(f16(f918(f911(x43161),f911(x43161)),x43161),f329(f329(f7(f911(x43161),f911(x43161),f911(x43161)),f137(x43161)),x43162))),x43163),f329(f174(x43161),f329(f329(f137(x43161),x43163),x43162))) % 166.52/166.34 [4344]P1(f329(f329(f239(f918(f918(x43441,a905),a905)),f329(f329(f115(f918(f918(x43441,a905),a905)),f329(f310(x43441),x43442)),f329(f310(x43441),x43443))),f329(f310(x43441),f329(f329(f115(f918(x43441,a905)),x43442),x43443)))) % 166.52/166.34 [4433]E(f329(f267(x44331),f329(f329(f18(x44331,a905,a905),f329(f329(f8(a905,f918(a905,a905),x44331),a327),f329(f329(f7(x44331,f918(x44331,a905),a905),f331(x44331)),x44332))),f329(f329(f8(a905,a905,x44331),a324),f329(f329(f7(x44331,f918(x44331,a905),a905),f331(x44331)),x44333)))),f329(f329(f23(f918(x44331,a905)),x44332),x44333)) % 166.52/166.34 [4457]E(f329(f36(a910),f329(f267(a910),f329(f329(f18(a910,a905,a905),f329(f329(f8(a905,f918(a905,a905),a910),a327),f329(f329(f7(a910,a910,a905),f240(a910)),f329(f192(f911(x44571)),x44572)))),f329(f329(f8(x44571,a905,a910),x44573),f329(f167(x44571),x44572))))),f329(f192(f911(x44571)),f329(f139(x44571,x44573),x44572))) % 166.52/166.34 [4459]E(f329(f192(f911(x44591)),f179(x44591,x44592,x44593)),f329(f36(a910),f329(f267(a910),f329(f329(f18(a910,a905,a905),f329(f329(f8(a905,f918(a905,a905),a910),a327),f329(f329(f7(a910,a910,a905),f240(a910)),f329(f192(f911(x44591)),x44592)))),f329(f329(f7(a910,f918(a910,a905),a905),f331(a910)),x44593))))) % 166.52/166.34 [4555]E(f329(f329(f106(f918(f917(f911(x45551),f911(x45551)),a905)),f329(f312(f917(f917(x45551,f911(x45551)),f917(x45551,f911(x45551))),f917(f911(x45551),f911(x45551)),f263(f917(x45551,f911(x45551)),f911(x45551),f917(x45551,f911(x45551)),f911(x45551),f329(f262(x45551,f911(x45551),f911(x45551)),f154(x45551)),f329(f262(x45551,f911(x45551),f911(x45551)),f154(x45551)))),f321(x45551,f911(x45551),x45552,f329(f146(x45551,x45552),x45553)))),f329(f267(f917(f911(x45551),f911(x45551))),f329(f262(f911(x45551),f911(x45551),a905),f329(f329(f7(f911(x45551),f918(f911(x45551),a905),f918(f911(x45551),a905)),f329(f329(f8(f918(a905,a905),f918(f918(f911(x45551),a905),f918(f911(x45551),a905)),f911(x45551)),f8(a905,a905,f911(x45551))),f329(f329(f8(a905,f918(a905,a905),f911(x45551)),a327),f329(f329(f7(f911(x45551),a910,a905),f329(f329(f8(a910,f918(a910,a905),f911(x45551)),a326),f192(f911(x45551)))),f329(a117,x45553))))),f329(f329(f7(f911(x45551),a910,a905),f329(f329(f8(a910,f918(a910,a905),f911(x45551)),a326),f192(f911(x45551)))),f329(a117,x45553)))))),f329(f146(x45551,x45552),f329(a117,x45553))) % 166.52/166.34 [4054]E(f46(a910,f329(a117,f329(f329(f82(a910),f329(f329(f83(a910),x40541),x40542)),x40543)),x40542),f46(a910,f329(a117,x40543),x40542)) % 166.52/166.34 [4302]E(f329(f267(x43021),f329(f329(f18(x43021,a905,a905),f329(f329(f8(a905,f918(a905,a905),x43021),a327),x43022)),x43023)),f329(f329(f106(f918(x43021,a905)),f329(f267(x43021),x43022)),f329(f267(x43021),x43023))) % 166.52/166.34 [4303]E(f329(f267(x43031),f329(f329(f18(x43031,a905,a905),f329(f329(f8(a905,f918(a905,a905),x43031),a328),x43032)),x43033)),f329(f329(f115(f918(x43031,a905)),f329(f267(x43031),x43032)),f329(f267(x43031),x43033))) % 166.52/166.34 [4305]E(f329(f329(f137(x43051),f329(f329(f141(x43051),f46(a910,x43052,f329(f192(f911(x43051)),x43053))),x43053)),f329(f329(f178(x43051),f46(a910,x43052,f329(f192(f911(x43051)),x43053))),x43053)),f329(f329(f329(f186(f911(x43051),f911(x43051)),x43052),f170(x43051)),x43053)) % 166.52/166.34 [4311]E(f329(f267(x43111),f329(f329(f18(x43111,a905,a905),f329(f329(f8(a905,f918(a905,a905),x43111),a332),x43112)),x43113)),f329(f329(f115(f918(x43111,a905)),f329(f81(f918(x43111,a905)),f329(f267(x43111),x43112))),f329(f267(x43111),x43113))) % 166.52/166.34 [4327]E(f329(f329(f82(a910),f329(f192(f911(x43271)),f329(f139(x43271,x43272),x43273))),f329(f192(f911(x43271)),f329(f139(x43271,f329(f329(f8(a905,a905,x43271),a324),x43272)),x43273))),f329(f192(f911(x43271)),x43273)) % 166.52/166.34 [4350]P1(f329(f329(f239(f918(x43501,a905)),f329(f329(f115(f918(x43501,a905)),f39(f918(x43501,a905),x43502)),f39(f918(x43501,a905),x43503))),f39(f918(x43501,a905),f329(f329(f106(f918(f918(x43501,a905),a905)),x43502),x43503)))) % 166.52/166.34 [4364]E(f329(f175(x43641),f329(f139(x43641,f329(f329(f8(a905,a905,x43641),a324),f329(f329(f7(x43641,x43641,a905),a326),x43642))),x43643)),f329(f329(f23(f918(x43641,a905)),f329(f175(x43641),x43643)),f329(f329(f311(x43641),x43642),f191(f918(x43641,a905))))) % 166.52/166.34 [4373]P1(f329(f329(f239(f918(f917(x43731,x43731),a905)),f329(f329(f115(f918(f917(x43731,x43731),a905)),f309(x43731,x43732)),f309(x43731,x43733))),f309(x43731,f329(f329(f115(f918(f917(x43731,x43731),a905)),x43732),x43733)))) % 166.52/166.34 [4396]E(f329(f329(f83(a910),f329(a117,f329(a117,f2(a910)))),f329(f329(f6(a910,a910),f329(f329(f8(a910,a910,a910),f329(f82(a910),x43961)),f329(f329(f7(a910,a910,a910),f83(a910)),x43962))),f329(f285(a910),x43963))),f329(f329(f83(a910),x43963),f329(f329(f82(a910),x43961),f329(f329(f82(a910),x43961),f329(f329(f83(a910),f329(f329(f23(a910),x43963),f80(a910))),x43962))))) % 166.52/166.34 [4406]E(f329(f267(x44061),f329(f329(f18(x44061,a905,a905),f329(f329(f8(a905,f918(a905,a905),x44061),a327),f329(f329(f7(x44061,f918(x44061,a905),a905),f331(x44061)),f329(f175(x44061),x44062)))),x44063)),f329(f175(x44061),f329(f139(x44061,x44063),x44062))) % 166.52/166.34 [4554]E(f329(f267(x45541),f329(f329(f8(f918(a910,a905),a905,x45541),f89(a910)),f329(f329(f7(x45541,f918(a910,a905),f918(a910,a905)),f329(f329(f8(f918(a910,f918(a905,a905)),f918(f918(a910,a905),f918(a910,a905)),x45541),f18(a910,a905,a905)),f329(f329(f8(f918(a910,a905),f918(a910,f918(a905,a905)),x45541),f329(f8(a905,f918(a905,a905),a910),a327)),f329(f329(f7(x45541,f918(a910,x45541),f918(a910,a905)),f329(f329(f8(f918(x45541,a905),f918(f918(a910,x45541),f918(a910,a905)),x45541),f8(x45541,a905,a910)),a326)),f329(f167(x45541),x45542))))),f329(f329(f18(a910,a905,a905),f329(f329(f8(a905,f918(a905,a905),a910),a327),f329(f329(f7(a910,a910,a905),f240(a910)),f329(f192(f911(x45541)),x45542)))),f329(f329(f7(a910,f918(a910,a905),a905),f331(a910)),x45543))))),f329(f175(x45541),f179(x45541,x45542,x45543))) % 166.52/166.34 [4446]E(f329(f267(x44461),f329(f329(f18(x44461,a905,a905),f329(f329(f8(a905,f918(a905,a905),x44461),a332),f329(f329(f8(a905,a905,x44461),a324),f329(f329(f7(x44461,x44461,a905),a326),x44462)))),x44463)),f329(f329(f311(x44461),x44462),f329(f267(x44461),x44463))) % 166.52/166.34 [4478]E(f329(f329(f157(f917(x44781,a910),x44781),f256(x44781,a910)),f329(f139(f917(x44781,a910),f329(f329(f7(f917(x44781,a910),f918(a910,a905),a905),f329(f329(f8(a910,f918(f918(a910,a905),a905),f917(x44781,a910)),f331(a910)),f261(x44781,a910))),x44782)),f329(f329(f184(x44781,a910),x44783),f142(a910,f329(f304(a910,f2(a910)),f329(f192(f911(x44781)),x44783)))))),f179(x44781,x44783,x44782)) % 166.52/166.34 [4505]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(a910,a1),f329(f329(f8(a1,a1,a910),f329(f82(a1),x45051)),f329(f329(f7(a910,a1,a1),f329(f329(f8(a1,f918(a1,a1),a910),f83(a1)),f105(a1))),x45052))),f329(f285(a910),x45053))),f329(f329(f83(a1),f329(f105(a1),x45053)),f329(f329(f82(a1),x45051),f329(f329(f82(a1),x45051),f329(f329(f83(a1),f329(f105(a1),f329(f329(f23(a910),x45053),f80(a910)))),x45052))))) % 166.52/166.34 [4547]E(f329(f267(f917(x45471,x45472)),f329(f262(x45471,x45472,a905),f329(f329(f7(x45471,f918(f917(x45472,x45471),a905),f918(x45472,a905)),f329(f329(f8(f918(x45472,f918(f918(f917(x45472,x45471),a905),a905)),f918(f918(f917(x45472,x45471),a905),f918(x45472,a905)),x45471),f7(x45472,f918(f917(x45472,x45471),a905),a905)),f329(f329(f8(f918(x45472,f917(x45472,x45471)),f918(x45472,f918(f918(f917(x45472,x45471),a905),a905)),x45471),f329(f8(f917(x45472,x45471),f918(f918(f917(x45472,x45471),a905),a905),x45472),f331(f917(x45472,x45471)))),f329(f7(x45472,x45471,f917(x45472,x45471)),f257(x45472,x45471))))),x45473))),f329(f289(x45472,x45471),x45473)) % 166.52/166.34 [4569]E(f329(f267(f911(x45691)),f329(f329(f8(f918(x45691,a905),a905,f911(x45691)),f89(x45691)),f329(f329(f8(f918(x45691,f918(f911(x45691),a905)),f918(x45691,a905),f911(x45691)),f329(f8(f918(f911(x45691),a905),a905,x45691),f89(f911(x45691)))),f329(f329(f7(f911(x45691),f918(x45691,f918(f911(x45691),a905)),f918(x45691,f918(f911(x45691),a905))),f329(f329(f8(f918(x45691,f918(f918(f911(x45691),a905),f918(f911(x45691),a905))),f918(f918(x45691,f918(f911(x45691),a905)),f918(x45691,f918(f911(x45691),a905))),f911(x45691)),f18(x45691,f918(f911(x45691),a905),f918(f911(x45691),a905))),f329(f329(f8(f918(x45691,f918(f911(x45691),f918(a905,a905))),f918(x45691,f918(f918(f911(x45691),a905),f918(f911(x45691),a905))),f911(x45691)),f329(f8(f918(f911(x45691),f918(a905,a905)),f918(f918(f911(x45691),a905),f918(f911(x45691),a905)),x45691),f18(f911(x45691),a905,a905))),f329(f329(f8(f918(x45691,f918(f911(x45691),a905)),f918(x45691,f918(f911(x45691),f918(a905,a905))),f911(x45691)),f329(f8(f918(f911(x45691),a905),f918(f911(x45691),f918(a905,a905)),x45691),f329(f8(a905,f918(a905,a905),f911(x45691)),a327))),f329(f329(f7(f911(x45691),f918(x45691,f918(f911(x45691),f911(x45691))),f918(x45691,f918(f911(x45691),a905))),f329(f329(f8(f918(f918(f911(x45691),f911(x45691)),f918(f911(x45691),a905)),f918(f918(x45691,f918(f911(x45691),f911(x45691))),f918(x45691,f918(f911(x45691),a905))),f911(x45691)),f8(f918(f911(x45691),f911(x45691)),f918(f911(x45691),a905),x45691)),f329(f329(f8(f918(f911(x45691),a905),f918(f918(f911(x45691),f911(x45691)),f918(f911(x45691),a905)),f911(x45691)),f8(f911(x45691),a905,f911(x45691))),a326))),f154(x45691)))))),f329(f329(f7(x45691,f918(f911(x45691),a905),f918(f911(x45691),a905)),f329(f329(f8(f918(a905,a905),f918(f918(f911(x45691),a905),f918(f911(x45691),a905)),x45691),f8(a905,a905,f911(x45691))),f329(f329(f8(a905,f918(a905,a905),x45691),a327),f329(f329(f7(x45691,f918(x45691,a905),a905),f331(x45691)),x45692)))),f329(f329(f7(f911(x45691),f918(f911(x45691),a905),a905),f331(f911(x45691))),x45693)))))),f177(x45691,x45692,x45693)) % 166.52/166.34 [4566]E(f329(f329(f88(a1,f917(a1,a1)),f329(f329(f23(a1),x45661),x45662)),f329(f329(f7(a1,f917(a1,a1),f917(a1,a1)),f329(f329(f18(a1,f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),f329(f329(f8(a905,f918(f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),a1),f99(f917(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)))),x45663)),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)))),x45663)),x45661))),f329(f44(x45662),f329(f329(f257(a1,a1),x45663),x45661))) % 166.52/166.34 [4595]~E(f31(x45951,x45952),f32(x45953,x45954)) % 166.52/166.34 [4615]~E(f329(a26,x46151),f29(x46152,x46153,x46154)) % 166.52/166.34 [4616]~E(f329(a26,x46161),f28(x46162,x46163,x46164)) % 166.52/166.34 [4617]~E(f29(x46171,x46172,x46173),f329(a26,x46174)) % 166.52/166.34 [4618]~E(f28(x46181,x46182,x46183),f329(a26,x46184)) % 166.52/166.34 [3611]E(f121(x36111,f329(x36112,x36113),f329(x36114,x36113)),f329(f207(x36111,x36112,x36114),x36113)) % 166.52/166.34 [3665]E(f329(f329(f250(x36651,x36652,x36653),x36654),f2(a910)),x36652) % 166.52/166.34 [3705]E(f188(x37051,x37052,x37053,f329(a117,x37054)),f329(x37053,x37054)) % 166.52/166.34 [3747]E(f173(x37471,x37472,f173(x37471,x37473,x37474)),f173(x37471,x37473,f173(x37471,x37472,x37474))) % 166.52/166.34 [3748]E(f130(x37481,x37482,f121(x37481,x37483,x37484)),f121(x37481,f130(x37481,x37482,x37483),x37484)) % 166.52/166.34 [3883]E(f329(f159(x38831,x38832,x38833,x38834),f118(x38832)),x38833) % 166.52/166.34 [3884]E(f329(f145(x38841,x38842,x38843,x38844),f118(x38842)),x38844) % 166.52/166.34 [3921]E(f329(f192(f915(x39211,x39212)),f224(x39211,x39212,x39213,x39214)),f2(a910)) % 166.52/166.34 [3988]E(f329(f329(f137(x39881),f172(x39881,x39882,x39883)),f172(x39881,x39884,x39883)),f329(f329(f137(x39881),f172(x39881,x39884,x39883)),f172(x39881,x39882,x39883))) % 166.52/166.34 [4073]E(f329(f329(f264(x40731,x40732,x40733,f917(x40732,x40733)),x40734),f257(x40732,x40733)),x40734) % 166.52/166.34 [4083]E(f131(x40831,x40832,x40833,x40834,f124(x40832)),x40833) % 166.52/166.34 [4089]E(f76(x40891,x40892,x40893,x40894,f329(x40893,x40894)),x40893) % 166.52/166.34 [4357]P50(x43571,x43572,x43573,x43574,f191(f918(x43571,a905)),x43574) % 166.52/166.34 [3414]E(f329(f329(f16(x34141,x34142),x34143),x34144),x34143) % 166.52/166.34 [3695]E(f173(x36951,x36952,f329(f139(x36951,x36953),x36954)),f329(f139(x36951,x36953),f173(x36951,x36952,x36954))) % 166.52/166.34 [3730]E(f329(f329(f65(x37301,x37302,x37303),x37304),f191(f918(x37301,a905))),x37304) % 166.52/166.34 [3754]E(f329(f329(f167(x37541),f329(f329(f154(x37541),x37542),x37543)),f329(a117,x37544)),f329(f329(f167(x37541),x37543),x37544)) % 166.52/166.34 [3798]P33(x37981,f2(a910),f329(f329(f329(f93(x37981),x37982),f329(a26,x37983)),x37984)) % 166.52/166.34 [3822]E(f329(f329(x38221,x38222),f329(f187(x38223,x38224,x38221),x38222)),f329(f187(x38223,x38224,x38221),f329(a117,x38222))) % 166.52/166.34 [3864]E(f260(x38641,x38642,x38643,f329(f262(x38641,x38642,x38643),x38644)),x38644) % 166.52/166.34 [3919]E(f329(f329(f162(x39191,f329(f329(f154(x39191),x39192),x39193)),f2(a910)),x39194),f329(f329(f154(x39191),x39194),x39193)) % 166.52/166.34 [3931]E(f329(f329(f40(f918(x39311,a905),f918(x39312,a905)),x39313),f312(x39311,x39312,x39314)),f329(f312(x39311,x39312,x39314),f38(f918(x39311,a905),x39313))) % 166.52/166.34 [3932]E(f329(f329(f40(f918(x39321,a905),f918(x39322,a905)),x39323),f313(x39322,x39321,x39324)),f329(f313(x39322,x39321,x39324),f38(f918(x39321,a905),x39323))) % 166.52/166.34 [4029]E(f329(f129(x40291,x40292),f130(x40291,x40293,x40294)),f329(f329(f82(a910),f329(f329(f82(a910),f329(x40292,x40293)),f329(f129(x40291,x40292),x40294))),f329(a117,f2(a910)))) % 166.52/166.34 [4049]E(f329(f145(x40491,x40492,f329(f7(x40492,x40491,x40491),x40493),x40494),f329(f171(x40492),f118(x40492))),x40494) % 166.52/166.34 [4095]E(f78(x40951,x40952,x40953,x40954,f191(f918(x40951,a905))),x40953) % 166.52/166.34 [4155]E(f227(x41551,f917(x41552,f912(x41552)),x41553,f329(f262(x41552,f912(x41552),x41551),x41554),f329(f138(x41552),f124(x41552))),x41553) % 166.52/166.34 [4287]E(f329(f262(x42871,x42872,x42873),f329(f329(f8(f918(x42872,f917(x42871,x42872)),f918(x42872,x42873),x42871),f329(f8(f917(x42871,x42872),x42873,x42872),x42874)),f257(x42871,x42872))),x42874) % 166.52/166.34 [3602]E(f329(f261(x36021,x36022),f329(f329(f257(x36021,x36022),x36023),x36024)),x36024) % 166.52/166.34 [3603]E(f329(f256(x36031,x36032),f329(f329(f257(x36031,x36032),x36033),x36034)),x36033) % 166.52/166.34 [3638]E(f329(f192(f911(x36381)),f329(f329(f162(x36381,x36382),x36383),x36384)),f329(f192(f911(x36381)),x36382)) % 166.52/166.34 [3639]E(f329(f192(f911(x36391)),f329(f329(f157(x36392,x36391),x36393),x36394)),f329(f192(f911(x36392)),x36394)) % 166.52/166.34 [3660]E(f329(f329(f141(x36601),f329(a117,x36602)),f329(f329(f154(x36601),x36603),x36604)),f329(f329(f141(x36601),x36602),x36604)) % 166.52/166.34 [3725]E(f329(f329(f178(x37251),x37252),f172(x37251,x37253,x37254)),f172(x37251,f329(f329(f237(a910),x37252),x37253),x37254)) % 166.52/166.34 [3726]E(f329(f329(f141(x37261),x37262),f172(x37261,x37263,x37264)),f172(x37261,f329(f329(f23(a910),x37263),x37262),x37264)) % 166.52/166.34 [3732]E(f329(f329(f311(x37321),x37322),f329(f329(f311(x37321),x37323),x37324)),f329(f329(f311(x37321),x37323),f329(f329(f311(x37321),x37322),x37324))) % 166.52/166.34 [3736]E(f329(f329(f157(x37361,x37362),x37363),f119(x37361,x37364)),f119(x37362,f329(f329(f157(x37361,x37362),x37363),x37364))) % 166.52/166.34 [3752]E(f329(f171(x37521),f329(f329(f157(x37522,x37521),x37523),x37524)),f329(f329(f157(x37522,x37521),x37523),f329(f171(x37522),x37524))) % 166.52/166.34 [3753]E(f329(f329(f157(x37531,x37532),x37533),f329(f174(x37531),x37534)),f329(f174(x37532),f329(f329(f157(x37531,x37532),x37533),x37534))) % 166.52/166.34 [3767]E(f329(f329(f178(x37671),f329(a117,x37672)),f329(f329(f154(x37671),x37673),x37674)),f329(f329(f154(x37671),x37673),f329(f329(f178(x37671),x37672),x37674))) % 166.52/166.34 [3771]E(f329(f175(x37711),f329(f329(f157(x37712,x37711),x37713),x37714)),f329(f312(x37712,x37711,x37713),f329(f175(x37712),x37714))) % 166.52/166.34 [3784]E(f329(f329(f157(x37841,x37842),f329(f16(x37842,x37841),x37843)),x37844),f172(x37842,f329(f192(f911(x37841)),x37844),x37843)) % 166.52/166.34 [3821]E(f17(x38211,x38212,x38213,f329(a3,f329(a117,f329(a20,x38214)))),f329(x38213,x38214)) % 166.52/166.34 [3825]E(f329(f329(f137(x38251),f329(f139(x38251,x38252),x38253)),f329(f139(x38251,x38252),x38254)),f329(f139(x38251,x38252),f329(f329(f137(x38251),x38253),x38254))) % 166.52/166.34 [3838]E(f155(x38381,f329(f329(f157(x38382,x38381),x38383),f155(x38382,x38384))),f155(x38381,f329(f329(f157(x38382,x38381),x38383),x38384))) % 166.52/166.34 [3853]E(f329(f289(x38531,x38531),f329(f329(f290(x38532,x38531),x38533),x38534)),f329(f329(f290(x38532,x38531),f329(f289(x38532,x38532),x38533)),x38534)) % 166.52/166.34 [3865]E(f329(f329(f291(x38651,x38652,x38653),x38654),f191(f918(f917(x38652,x38653),a905))),f191(f918(f917(x38651,x38653),a905))) % 166.52/166.34 [3866]E(f329(f329(f178(x38661),f329(f329(f23(a910),x38662),x38663)),f329(f329(f141(x38661),x38663),x38664)),f329(f329(f141(x38661),x38663),f329(f329(f178(x38661),x38662),x38664))) % 166.52/166.34 [3885]E(f329(f329(f137(x38851),f172(x38851,x38852,x38853)),f172(x38851,x38854,x38853)),f172(x38851,f329(f329(f82(a910),x38852),x38854),x38853)) % 166.52/166.34 [3886]E(f329(f329(f329(f281(x38861),x38862),x38863),x38864),f329(f257(f918(a104,f918(a905,f914(f912(x38861)))),f917(a104,a104)),f329(f43(x38861),x38862))) % 166.52/166.34 [3912]E(f39(f918(x39121,a905),f329(f312(x39122,f918(x39121,a905),x39123),x39124)),f329(f329(f41(x39122,f918(x39121,a905)),x39124),x39123)) % 166.52/166.34 [3913]E(f38(f918(x39131,a905),f329(f312(x39132,f918(x39131,a905),x39133),x39134)),f329(f329(f40(x39132,f918(x39131,a905)),x39134),x39133)) % 166.52/166.34 [3914]E(f329(f192(f911(f917(x39141,x39142))),f329(f329(f184(x39141,x39142),x39143),x39144)),f329(f329(f237(a910),f329(f192(f911(x39141)),x39143)),f329(f192(f911(x39142)),x39144))) % 166.52/166.34 [3916]E(f329(f313(x39161,x39162,x39163),f329(f81(f918(x39162,a905)),x39164)),f329(f81(f918(x39161,a905)),f329(f313(x39161,x39162,x39163),x39164))) % 166.52/166.34 [3965]E(f329(f313(x39651,x39652,x39653),f329(f267(x39652),x39654)),f329(f267(x39651),f329(f329(f8(x39652,a905,x39651),x39654),x39653))) % 166.52/166.34 [3983]E(f329(f329(f167(x39831),f329(f329(f137(x39831),x39832),f329(f329(f154(x39831),x39833),x39834))),f329(f192(f911(x39831)),x39832)),x39833) % 166.52/166.34 [4006]E(f329(f312(x40061,x40062,x40063),f329(f313(x40061,x40062,x40063),x40064)),f329(f329(f106(f918(x40062,a905)),x40064),f329(f312(x40061,x40062,x40063),f247(f918(x40061,a905))))) % 166.52/166.34 [4025]P1(f329(f329(f331(x40251),f329(x40252,x40253)),f329(f312(x40254,x40251,x40252),f247(f918(x40254,a905))))) % 166.52/166.34 [4033]E(f19(x40331,x40332,x40333,f329(a3,f329(a117,f329(a20,x40334)))),f329(f329(x40333,x40334),f19(x40331,x40332,x40333,x40334))) % 166.52/166.34 [4037]E(f329(f329(f137(x40371),f172(x40371,x40372,x40373)),f329(f329(f154(x40371),x40373),x40374)),f329(f329(f154(x40371),x40373),f329(f329(f137(x40371),f172(x40371,x40372,x40373)),x40374))) % 166.52/166.34 [4039]E(f329(f329(f259(x40391,x40392),f329(f175(x40391),x40393)),f329(f16(f918(x40392,a905),x40391),f329(f175(x40392),x40394))),f329(f175(f917(x40391,x40392)),f60(x40391,x40392,x40393,x40394))) % 166.52/166.34 [4051]E(f158(x40511,x40512,f329(f329(f154(x40511),x40513),x40514)),f329(f329(f82(a910),f329(f329(f82(a910),f329(x40512,x40513)),f158(x40511,x40512,x40514))),f329(a117,f2(a910)))) % 166.52/166.34 [4064]E(f188(f911(x40641),f329(f329(f154(x40641),x40642),x40643),f329(f329(f7(a910,f911(x40641),f911(x40641)),f141(x40641)),x40643),x40644),f329(f329(f141(x40641),x40644),f329(f329(f154(x40641),x40642),x40643))) % 166.52/166.34 [4065]P30(x40651,f917(x40652,x40651),f333(x40653,x40654,x40652,x40651),f329(f329(f40(x40652,f918(x40651,a905)),x40654),x40653)) % 166.52/166.34 [4074]E(f329(f329(f23(f918(x40741,a905)),f329(f329(f23(f918(x40741,a905)),x40742),x40743)),f329(f329(f311(x40741),x40744),f191(f918(x40741,a905)))),f329(f329(f23(f918(x40741,a905)),x40742),f329(f329(f311(x40741),x40744),x40743))) % 166.52/166.34 [4087]E(f329(f329(f186(f918(x40871,x40872),f918(x40871,x40872)),x40873),f74(x40872,x40872,x40871,x40874)),f74(x40872,x40872,x40871,f329(f329(f186(x40872,x40872),x40873),x40874))) % 166.52/166.34 [4160]E(f329(f329(f329(f186(f911(x41601),f911(x41601)),x41602),f170(x41601)),f329(f329(f329(f186(f911(x41601),f911(x41601)),x41603),f170(x41601)),x41604)),f329(f329(f329(f186(f911(x41601),f911(x41601)),f329(f329(f82(a910),x41602),x41603)),f170(x41601)),x41604)) % 166.52/166.34 [4245]P1(f329(f329(f239(f918(x42451,a905)),f329(f175(x42451),f329(f329(f162(x42451,x42452),x42453),x42454))),f329(f329(f311(x42451),x42454),f329(f175(x42451),x42452)))) % 166.52/166.34 [4277]E(f329(f329(f40(f918(x42771,a905),f918(f917(x42771,x42772),a905)),x42773),f329(f329(f7(f918(x42771,a905),f918(x42771,f918(x42772,a905)),f918(f917(x42771,x42772),a905)),f259(x42771,x42772)),x42774)),f329(f329(f259(x42771,x42772),f38(f918(x42771,a905),x42773)),x42774)) % 166.52/166.34 [4315]E(f213(x43151,x43152,x43153,f329(f74(x43152,f918(a104,f918(a104,f918(f917(a104,a104),f918(a104,f912(x43152))))),x43151,f212(x43152)),x43154)),f214(x43151,x43152,x43154,x43153)) % 166.52/166.34 [4330]E(f209(x43301,x43302,x43303,f329(f74(x43302,f918(a104,f918(a104,f918(f917(a104,a104),f918(a104,f912(f914(x43302)))))),x43301,f208(x43302)),x43304)),f210(x43301,x43302,x43304,x43303)) % 166.52/166.34 [4335]P1(f329(f67(x43351,x43352,x43353,x43354,f191(f918(x43351,a905))),x43354)) % 166.52/166.34 [4374]E(f329(f329(f40(x43741,f918(x43742,a905)),x43743),f329(f329(f7(x43741,f918(x43742,a905),f918(x43742,a905)),f329(f329(f8(x43742,f918(f918(x43742,a905),f918(x43742,a905)),x43741),f311(x43742)),x43744)),f191(f918(x43742,a905)))),f329(f312(x43741,x43742,x43744),x43743)) % 166.52/166.34 [4381]P1(f329(f329(f239(f918(x43811,a905)),f329(f287(x43812,x43811),f329(f329(f106(f918(f917(x43812,x43811),a905)),x43813),x43814))),f329(f329(f106(f918(x43811,a905)),f329(f287(x43812,x43811),x43813)),f329(f287(x43812,x43811),x43814)))) % 166.52/166.34 [4382]P1(f329(f329(f239(f918(x43821,a905)),f329(f269(x43821,x43822),f329(f329(f106(f918(f917(x43821,x43822),a905)),x43823),x43824))),f329(f329(f106(f918(x43821,a905)),f329(f269(x43821,x43822),x43823)),f329(f269(x43821,x43822),x43824)))) % 166.52/166.34 [4442]P1(f329(f329(f239(f918(f917(x44421,x44422),a905)),f329(f312(x44422,f917(x44421,x44422),f333(x44423,x44424,x44421,x44422)),f329(f329(f40(x44421,f918(x44422,a905)),x44424),x44423))),f329(f329(f259(x44421,x44422),x44424),x44423))) % 166.52/166.34 [4443]E(f329(f123(x44431,f917(x44431,x44432),x44433),f329(f329(f8(f918(x44432,f912(f917(x44431,x44432))),f912(f917(x44431,x44432)),x44431),f123(x44432,f917(x44431,x44432),x44434)),f329(f329(f8(f918(x44432,f917(x44431,x44432)),f918(x44432,f912(f917(x44431,x44432))),x44431),f329(f8(f917(x44431,x44432),f912(f917(x44431,x44432)),x44432),f133(f917(x44431,x44432)))),f257(x44431,x44432)))),f134(x44431,x44432,x44433,x44434)) % 166.52/166.34 [4444]E(f279(x44441,x44442,x44443,f329(f74(x44442,f918(a104,f918(a104,f918(f917(a104,a104),f917(f918(a104,f918(a905,f914(f912(x44442)))),f917(a104,a104))))),x44441,f281(x44442)),x44444)),f282(x44441,x44442,x44444,x44443)) % 166.52/166.34 [4484]E(f87(f917(x44841,x44842),f329(f262(x44841,x44842,a905),f329(f329(f7(x44841,f918(x44842,a905),f918(x44842,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x44842,a905),f918(x44842,a905)),x44841),f8(a905,a905,x44842)),f329(f329(f8(a905,f918(a905,a905),x44841),a327),f329(a326,x44843)))),f329(a326,x44844)))),f329(f329(f257(x44841,x44842),x44843),x44844)) % 166.52/166.34 [4485]E(f92(f917(x44851,x44852),f329(f262(x44851,x44852,a905),f329(f329(f7(x44851,f918(x44852,a905),f918(x44852,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x44852,a905),f918(x44852,a905)),x44851),f8(a905,a905,x44852)),f329(f329(f8(a905,f918(a905,a905),x44851),a327),f329(a326,x44853)))),f329(a326,x44854)))),f329(f329(f257(x44851,x44852),x44853),x44854)) % 166.52/166.34 [4556]E(f329(f329(f262(f911(x45561),f911(x45561),f917(f911(x45561),f911(x45561))),f329(f329(f18(f911(x45561),f918(f911(x45561),f917(f911(x45561),f911(x45561))),f918(f911(x45561),f917(f911(x45561),f911(x45561)))),f329(f329(f8(f918(f911(x45561),f918(f917(f911(x45561),f911(x45561)),f917(f911(x45561),f911(x45561)))),f918(f918(f911(x45561),f917(f911(x45561),f911(x45561))),f918(f911(x45561),f917(f911(x45561),f911(x45561)))),f911(x45561)),f18(f911(x45561),f917(f911(x45561),f911(x45561)),f917(f911(x45561),f911(x45561)))),f329(f329(f8(f918(f911(x45561),f917(f911(x45561),f911(x45561))),f918(f911(x45561),f918(f917(f911(x45561),f911(x45561)),f917(f911(x45561),f911(x45561)))),f911(x45561)),f329(f8(f917(f911(x45561),f911(x45561)),f918(f917(f911(x45561),f911(x45561)),f917(f911(x45561),f911(x45561))),f911(x45561)),f329(f99(f917(f911(x45561),f911(x45561))),f329(x45562,x45563)))),f329(f329(f8(f911(x45561),f918(f911(x45561),f917(f911(x45561),f911(x45561))),f911(x45561)),f257(f911(x45561),f911(x45561))),f329(f154(x45561),x45563))))),f329(f329(f7(f911(x45561),f918(f911(x45561),f911(x45561)),f918(f911(x45561),f917(f911(x45561),f911(x45561)))),f329(f329(f8(f918(f911(x45561),f917(f911(x45561),f911(x45561))),f918(f918(f911(x45561),f911(x45561)),f918(f911(x45561),f917(f911(x45561),f911(x45561)))),f911(x45561)),f8(f911(x45561),f917(f911(x45561),f911(x45561)),f911(x45561))),f257(f911(x45561),f911(x45561)))),f329(f154(x45561),x45563)))),f169(x45561,x45562,x45564)),f169(x45561,x45562,f329(f329(f154(x45561),x45563),x45564))) % 166.52/166.34 [3677]E(f329(f192(f909(x36771)),f329(f329(f329(f93(x36771),x36772),x36773),x36774)),f2(a910)) % 166.52/166.34 [3801]E(f329(f329(f178(x38011),x38012),f329(f329(f178(x38011),x38013),x38014)),f329(f329(f178(x38011),f329(f329(f237(a910),x38012),x38013)),x38014)) % 166.52/166.34 [3802]E(f329(f329(f141(x38021),x38022),f329(f329(f141(x38021),x38023),x38024)),f329(f329(f141(x38021),f329(f329(f82(a910),x38022),x38023)),x38024)) % 166.52/166.34 [3813]E(f329(f329(f137(x38131),f329(f329(f154(x38131),x38132),x38133)),x38134),f329(f329(f154(x38131),x38132),f329(f329(f137(x38131),x38133),x38134))) % 166.52/166.34 [3814]E(f329(f329(f137(x38141),f329(f329(f137(x38141),x38142),x38143)),x38144),f329(f329(f137(x38141),x38142),f329(f329(f137(x38141),x38143),x38144))) % 166.52/166.34 [3896]E(f329(f329(f167(x38961),f329(f329(f154(x38961),x38962),x38963)),x38964),f188(x38961,x38962,f329(f167(x38961),x38963),x38964)) % 166.52/166.34 [3905]E(f329(f329(f186(x39051,x39051),x39052),f329(f329(f186(x39051,x39051),x39053),x39054)),f329(f329(f186(x39051,x39051),f329(f329(f83(a910),x39053),x39052)),x39054)) % 166.52/166.34 [3934]E(f329(f329(f115(f918(x39341,a905)),x39342),f329(f329(f311(x39341),x39343),x39344)),f329(f329(f311(x39341),x39343),f329(f329(f115(f918(x39341,a905)),x39342),x39344))) % 166.52/166.34 [3948]E(f329(f329(f329(f186(x39481,x39481),x39482),x39483),f329(x39483,x39484)),f329(x39483,f329(f329(f329(f186(x39481,x39481),x39482),x39483),x39484))) % 166.52/166.34 [3956]E(f329(f329(f291(x39561,x39562,x39563),f191(f918(f917(x39561,x39562),a905))),x39564),f191(f918(f917(x39561,x39563),a905))) % 166.52/166.34 [3971]E(f329(f329(f115(f918(x39711,a905)),f329(f329(f311(x39711),x39712),x39713)),x39714),f329(f329(f311(x39711),x39712),f329(f329(f115(f918(x39711,a905)),x39713),x39714))) % 166.52/166.34 [3990]E(f329(f36(f917(x39901,x39902)),f329(f329(f259(x39901,x39902),x39903),f329(f16(f918(x39902,a905),x39901),x39904))),f329(f329(f83(a910),f329(f36(x39901),x39903)),f329(f36(x39902),x39904))) % 166.52/166.34 [3997]E(f329(f329(f106(f918(x39971,a905)),f329(f329(f311(x39971),x39972),x39973)),f329(f329(f311(x39971),x39972),x39974)),f329(f329(f311(x39971),x39972),f329(f329(f106(f918(x39971,a905)),x39973),x39974))) % 166.52/166.34 [4010]E(f329(f329(f115(f918(x40101,a905)),x40102),f329(f329(f115(f918(x40101,a905)),x40103),x40104)),f329(f329(f115(f918(x40101,a905)),x40103),f329(f329(f115(f918(x40101,a905)),x40102),x40104))) % 166.52/166.34 [4011]E(f329(f329(f106(f918(x40111,a905)),x40112),f329(f329(f106(f918(x40111,a905)),x40113),x40114)),f329(f329(f106(f918(x40111,a905)),x40113),f329(f329(f106(f918(x40111,a905)),x40112),x40114))) % 166.52/166.34 [4021]E(f65(x40211,x40212,f329(f329(f8(x40212,f918(x40212,x40212),x40211),x40213),x40214)),f329(f66(x40212,x40211,x40213),x40214)) % 166.52/166.34 [4030]E(f182(x40301,f329(f329(f157(f911(x40302),f911(x40301)),f329(f157(x40302,x40301),x40303)),x40304)),f329(f329(f157(f911(x40302),f911(x40301)),f329(f157(x40302,x40301),x40303)),f182(x40302,x40304))) % 166.52/166.34 [4048]E(f329(f145(f911(x40481),f911(x40481),f137(x40481),f118(x40481)),f329(f329(f157(x40482,f911(x40481)),x40483),x40484)),f166(x40482,x40481,x40483,x40484)) % 166.52/166.34 [4107]E(f329(f74(x41071,x41071,x41071,f329(f329(f186(x41071,x41071),x41072),x41073)),f329(f329(f186(x41071,x41071),x41074),x41073)),f329(f329(f186(x41071,x41071),f329(f329(f82(a910),x41072),x41074)),x41073)) % 166.52/166.34 [4130]E(f329(f329(f106(f918(x41301,a905)),f329(f329(f115(f918(x41301,a905)),x41302),x41303)),f329(f329(f115(f918(x41301,a905)),x41302),x41304)),f329(f329(f115(f918(x41301,a905)),x41302),f329(f329(f106(f918(x41301,a905)),x41303),x41304))) % 166.52/166.34 [4131]E(f329(f329(f106(f918(x41311,a905)),f329(f329(f23(f918(x41311,a905)),x41312),x41313)),f329(f329(f23(f918(x41311,a905)),x41312),x41314)),f329(f329(f23(f918(x41311,a905)),x41312),f329(f329(f115(f918(x41311,a905)),x41313),x41314))) % 166.52/166.34 [4132]E(f329(f329(f115(f918(x41321,a905)),f329(f329(f23(f918(x41321,a905)),x41322),x41323)),f329(f329(f23(f918(x41321,a905)),x41322),x41324)),f329(f329(f23(f918(x41321,a905)),x41322),f329(f329(f106(f918(x41321,a905)),x41323),x41324))) % 166.52/166.34 [4133]E(f329(f329(f115(f918(x41331,a905)),f329(f329(f106(f918(x41331,a905)),x41332),x41333)),f329(f329(f106(f918(x41331,a905)),x41332),x41334)),f329(f329(f106(f918(x41331,a905)),x41332),f329(f329(f115(f918(x41331,a905)),x41333),x41334))) % 166.52/166.34 [4134]E(f329(f329(f23(f918(x41341,a905)),f329(f329(f106(f918(x41341,a905)),x41342),x41343)),f329(f329(f106(f918(x41341,a905)),x41342),x41344)),f329(f329(f106(f918(x41341,a905)),x41342),f329(f329(f23(f918(x41341,a905)),x41343),x41344))) % 166.52/166.34 [4139]E(f329(f36(f917(x41391,x41392)),f329(f329(f259(x41391,x41392),f329(f329(f311(x41391),x41393),f191(f918(x41391,a905)))),f329(f16(f918(x41392,a905),x41391),x41394))),f329(f36(x41392),x41394)) % 166.52/166.34 [4174]E(f329(f329(f41(x41741,f918(x41742,a905)),x41743),f329(f329(f8(f918(x41742,a905),f918(x41742,a905),x41741),f81(f918(x41742,a905))),x41744)),f329(f81(f918(x41742,a905)),f329(f329(f40(x41741,f918(x41742,a905)),x41743),x41744))) % 166.52/166.34 [4175]E(f329(f329(f40(x41751,f918(x41752,a905)),x41753),f329(f329(f8(f918(x41752,a905),f918(x41752,a905),x41751),f81(f918(x41752,a905))),x41754)),f329(f81(f918(x41752,a905)),f329(f329(f41(x41751,f918(x41752,a905)),x41753),x41754))) % 166.52/166.34 [4191]E(f329(f329(f291(x41911,x41911,x41911),f329(f329(f186(f917(x41911,x41911),a905),x41912),x41913)),f329(f329(f186(f917(x41911,x41911),a905),x41914),x41913)),f329(f329(f186(f917(x41911,x41911),a905),f329(f329(f82(a910),x41912),x41914)),x41913)) % 166.52/166.34 [4221]E(f329(f329(f41(x42211,f918(f918(x42212,a905),a905)),x42213),f329(f329(f8(f918(x42212,a905),f918(f918(x42212,a905),a905),x42211),f310(x42212)),x42214)),f329(f310(x42212),f329(f329(f41(x42211,f918(x42212,a905)),x42213),x42214))) % 166.52/166.34 [4250]E(f329(f329(f40(f918(x42501,a905),f918(x42502,a905)),x42503),f329(f329(f7(f918(x42501,a905),f918(x42501,f918(x42502,a905)),f918(x42502,a905)),f40(x42501,f918(x42502,a905))),x42504)),f329(f329(f40(x42501,f918(x42502,a905)),f38(f918(x42501,a905),x42503)),x42504)) % 166.52/166.34 [4251]E(f329(f329(f41(f918(x42511,a905),f918(x42512,a905)),x42513),f329(f329(f7(f918(x42511,a905),f918(x42511,f918(x42512,a905)),f918(x42512,a905)),f41(x42511,f918(x42512,a905))),x42514)),f329(f329(f41(x42511,f918(x42512,a905)),f38(f918(x42511,a905),x42513)),x42514)) % 166.52/166.34 [4256]E(f329(f329(f157(x42561,x42562),x42563),f329(f145(f911(x42561),f911(x42561),f137(x42561),f118(x42561)),x42564)),f329(f145(f911(x42562),f911(x42562),f137(x42562),f118(x42562)),f329(f329(f157(f911(x42561),f911(x42562)),f329(f157(x42561,x42562),x42563)),x42564))) % 166.52/166.34 [4258]E(f188(f911(x42581),f118(x42581),f329(f329(f8(f911(x42581),f911(x42581),a910),f329(f154(x42581),x42582)),f329(f329(f7(a910,f911(x42581),f911(x42581)),f178(x42581)),x42583)),x42584),f329(f329(f178(x42581),x42584),f329(f329(f154(x42581),x42582),x42583))) % 166.52/166.34 [4296]P1(f329(f329(f239(f918(x42961,a905)),f329(f312(x42962,x42961,x42963),f329(f313(x42962,x42961,x42963),x42964))),x42964)) % 166.52/166.34 [4298]E(f329(f312(f917(x42981,x42982),f917(x42982,x42981),f329(f262(x42981,x42982,f917(x42982,x42981)),f329(f7(x42982,x42981,f917(x42982,x42981)),f257(x42982,x42981)))),f329(f329(f259(x42981,x42982),x42983),f329(f16(f918(x42982,a905),x42981),x42984))),f329(f329(f259(x42982,x42981),x42984),f329(f16(f918(x42981,a905),x42982),x42983))) % 166.52/166.34 [4307]E(f329(f329(f40(x43071,f918(x43072,a905)),x43073),f329(f329(f8(f918(x43071,a905),f918(x43072,a905),x43071),f313(x43072,x43071,x43074)),f329(f329(f7(x43071,f918(x43071,a905),f918(x43071,a905)),f311(x43071)),f191(f918(x43071,a905))))),f329(f313(x43072,x43071,x43074),x43073)) % 166.52/166.34 [4308]E(f329(f329(f40(x43081,f918(x43082,a905)),x43083),f329(f329(f8(f918(x43081,a905),f918(x43082,a905),x43081),f288(x43081,x43082,x43084)),f329(f329(f7(x43081,f918(x43081,a905),f918(x43081,a905)),f311(x43081)),f191(f918(x43081,a905))))),f329(f288(x43081,x43082,x43084),x43083)) % 166.52/166.34 [4395]E(f329(f329(f115(f918(x43951,a905)),f329(f329(f115(f918(x43951,a905)),f329(f329(f106(f918(x43951,a905)),x43952),x43953)),f329(f329(f106(f918(x43951,a905)),x43953),x43954))),f329(f329(f106(f918(x43951,a905)),x43954),x43952)),f329(f329(f106(f918(x43951,a905)),f329(f329(f106(f918(x43951,a905)),f329(f329(f115(f918(x43951,a905)),x43952),x43953)),f329(f329(f115(f918(x43951,a905)),x43953),x43954))),f329(f329(f115(f918(x43951,a905)),x43954),x43952))) % 166.52/166.34 [4458]E(f329(f145(f911(x44581),f911(x44581),f137(x44581),f118(x44581)),f329(f329(f157(x44582,f911(x44581)),f329(f329(f7(x44582,f911(x44581),f911(x44581)),f329(f329(f8(x44581,f918(f911(x44581),f911(x44581)),x44582),f154(x44581)),x44583)),f118(x44581))),x44584)),f329(f329(f157(x44582,x44581),x44583),x44584)) % 166.52/166.34 [4468]E(f329(f329(f88(a1,x44681),f329(f108(a1),f329(f329(f82(a1),x44682),a102))),f329(f329(f18(a1,x44681,x44681),f329(f329(f7(a1,x44681,f918(x44681,x44681)),f329(f329(f8(a905,f918(x44681,f918(x44681,x44681)),a1),f99(x44681)),a196)),x44683)),f329(f329(f8(a910,x44681,a1),x44684),a109))),f188(x44681,x44683,x44684,f329(f108(a910),x44682))) % 166.52/166.34 [4499]E(f329(f267(x44991),f329(f329(f8(f918(x44992,a905),a905,x44991),f89(x44992)),f329(f329(f8(f918(x44992,a905),f918(x44992,a905),x44991),f329(f18(x44992,a905,a905),f329(f329(f8(a905,f918(a905,a905),x44992),a327),f329(f329(f7(x44992,f918(x44992,a905),a905),f331(x44992)),x44993)))),f329(f7(x44992,x44991,a905),x44994)))),f329(f288(x44992,x44991,f329(f267(f917(x44992,x44991)),f329(f262(x44992,x44991,a905),x44994))),x44993)) % 166.52/166.34 [4666]~P1(f329(f329(f191(f918(x46661,f918(x46662,a905))),x46663),x46664)) % 166.52/166.34 [3959]E(f329(f329(f167(x39591),f329(f329(f137(x39591),x39592),x39593)),f329(f329(f82(a910),f329(f192(f911(x39591)),x39592)),x39594)),f329(f329(f167(x39591),x39593),x39594)) % 166.52/166.34 [3964]E(f329(f329(f141(x39641),x39642),f329(f329(f178(x39641),f329(f329(f82(a910),x39643),x39642)),x39644)),f329(f329(f178(x39641),x39643),f329(f329(f141(x39641),x39642),x39644))) % 166.52/166.34 [4062]E(f329(f329(f115(f918(x40621,a905)),f329(f287(x40622,x40621),x40623)),f329(f287(x40622,x40621),x40624)),f329(f287(x40622,x40621),f329(f329(f115(f918(f917(x40622,x40621),a905)),x40623),x40624))) % 166.52/166.34 [4063]E(f329(f329(f115(f918(x40631,a905)),f329(f269(x40631,x40632),x40633)),f329(f269(x40631,x40632),x40634)),f329(f269(x40631,x40632),f329(f329(f115(f918(f917(x40631,x40632),a905)),x40633),x40634))) % 166.52/166.34 [4068]E(f329(f329(f115(f918(x40681,a905)),f329(f329(f115(f918(x40681,a905)),x40682),x40683)),x40684),f329(f329(f115(f918(x40681,a905)),x40682),f329(f329(f115(f918(x40681,a905)),x40683),x40684))) % 166.52/166.34 [4069]E(f329(f329(f23(f918(x40691,a905)),f329(f329(f106(f918(x40691,a905)),x40692),x40693)),x40694),f329(f329(f106(f918(x40691,a905)),x40692),f329(f329(f23(f918(x40691,a905)),x40693),x40694))) % 166.52/166.34 [4070]E(f329(f329(f106(f918(x40701,a905)),f329(f329(f106(f918(x40701,a905)),x40702),x40703)),x40704),f329(f329(f106(f918(x40701,a905)),x40702),f329(f329(f106(f918(x40701,a905)),x40703),x40704))) % 166.52/166.34 [4109]E(f329(f329(f115(f918(f917(x41091,x41092),a905)),f329(f289(x41092,x41091),x41093)),f329(f289(x41092,x41091),x41094)),f329(f289(x41092,x41091),f329(f329(f115(f918(f917(x41092,x41091),a905)),x41093),x41094))) % 166.52/166.34 [4110]E(f329(f329(f106(f918(f917(x41101,x41102),a905)),f329(f289(x41102,x41101),x41103)),f329(f289(x41102,x41101),x41104)),f329(f289(x41102,x41101),f329(f329(f106(f918(f917(x41102,x41101),a905)),x41103),x41104))) % 166.52/166.34 [4123]E(f329(f329(f115(f918(x41231,f918(x41232,a905))),f248(x41232,x41231,x41233)),f248(x41232,x41231,x41234)),f248(x41232,x41231,f329(f329(f115(f918(x41232,f918(x41231,a905))),x41233),x41234))) % 166.52/166.34 [4124]E(f329(f329(f106(f918(x41241,f918(x41242,a905))),f248(x41242,x41241,x41243)),f248(x41242,x41241,x41244)),f248(x41242,x41241,f329(f329(f106(f918(x41242,f918(x41241,a905))),x41243),x41244))) % 166.52/166.34 [4178]E(f329(f329(f106(f918(x41781,a905)),f329(f329(f115(f918(x41781,a905)),x41782),x41783)),f329(f329(f115(f918(x41781,a905)),x41784),x41783)),f329(f329(f115(f918(x41781,a905)),f329(f329(f106(f918(x41781,a905)),x41782),x41784)),x41783)) % 166.52/166.34 [4179]E(f329(f329(f115(f918(x41791,a905)),f329(f329(f23(f918(x41791,a905)),x41792),x41793)),f329(f329(f23(f918(x41791,a905)),x41794),x41793)),f329(f329(f23(f918(x41791,a905)),f329(f329(f115(f918(x41791,a905)),x41792),x41794)),x41793)) % 166.52/166.34 [4180]E(f329(f329(f115(f918(x41801,a905)),f329(f329(f106(f918(x41801,a905)),x41802),x41803)),f329(f329(f106(f918(x41801,a905)),x41804),x41803)),f329(f329(f106(f918(x41801,a905)),f329(f329(f115(f918(x41801,a905)),x41802),x41804)),x41803)) % 166.52/166.34 [4181]E(f329(f329(f23(f918(x41811,a905)),f329(f329(f106(f918(x41811,a905)),x41812),x41813)),f329(f329(f106(f918(x41811,a905)),x41814),x41813)),f329(f329(f106(f918(x41811,a905)),f329(f329(f23(f918(x41811,a905)),x41812),x41814)),x41813)) % 166.52/166.34 [4182]E(f329(f329(f23(f918(x41821,a905)),f329(f329(f106(f918(x41821,a905)),x41822),x41823)),f329(f329(f106(f918(x41821,a905)),x41824),x41823)),f329(f329(f23(f918(x41821,a905)),f329(f329(f106(f918(x41821,a905)),x41822),x41823)),x41824)) % 166.52/166.34 [4194]E(f329(f329(f23(f918(x41941,a905)),f329(f329(f23(f918(x41941,a905)),x41942),f329(f329(f311(x41941),x41943),f191(f918(x41941,a905))))),x41944),f329(f329(f23(f918(x41941,a905)),x41942),f329(f329(f311(x41941),x41943),x41944))) % 166.52/166.34 [4247]E(f329(f329(f115(f918(x42471,a905)),f329(f329(f311(x42471),x42472),f329(f329(f311(x42471),x42473),f191(f918(x42471,a905))))),f329(f284(x42471),x42474)),f329(f284(x42471),f329(f329(f311(f917(x42471,x42471)),f329(f329(f257(x42471,x42471),x42472),x42473)),x42474))) % 166.52/166.34 [4272]E(f329(f329(f40(a910,f918(x42721,a905)),f329(f303(a910),x42722)),f329(f329(f8(a910,f918(x42721,a905),a910),x42723),f329(f329(f7(a910,a910,a910),f82(a910)),x42724))),f329(f329(f40(a910,f918(x42721,a905)),f305(a910,x42724,f329(f329(f82(a910),x42722),x42724))),x42723)) % 166.52/166.34 [4273]E(f177(x42731,f329(f288(x42731,x42731,x42732),f329(f329(f311(x42731),x42733),f191(f918(x42731,a905)))),f329(f288(f911(x42731),f911(x42731),f161(x42731,x42732)),f329(f329(f311(f911(x42731)),x42734),f191(f918(f911(x42731),a905))))),f329(f288(f911(x42731),f911(x42731),f161(x42731,x42732)),f329(f329(f311(f911(x42731)),f329(f329(f154(x42731),x42733),x42734)),f191(f918(f911(x42731),a905))))) % 166.52/166.34 [4337]E(f329(f267(x43371),f329(f329(f7(x43371,f918(x43372,a905),a905),f329(f329(f8(x43372,f918(f918(x43372,a905),a905),x43371),f331(x43372)),x43373)),x43374)),f329(f313(x43371,x43372,x43373),x43374)) % 166.52/166.34 [4427]E(f329(f267(x44271),f329(f329(f7(x44271,f918(f917(x44272,x44271),a905),a905),f329(f329(f8(f917(x44272,x44271),f918(f918(f917(x44272,x44271),a905),a905),x44271),f331(f917(x44272,x44271))),f329(f257(x44272,x44271),x44273))),x44274)),f329(f288(x44272,x44271,x44274),f329(f329(f311(x44272),x44273),f191(f918(x44272,a905))))) % 166.52/166.34 [4441]E(f329(f329(f157(f917(x44411,a910),x44411),f256(x44411,a910)),f329(f139(f917(x44411,a910),f329(f329(f8(a910,a905,f917(x44411,a910)),x44412),f329(f329(f8(a910,a910,f917(x44411,a910)),a117),f261(x44411,a910)))),f329(f329(f184(x44411,a910),x44413),x44414))),f329(f329(f157(f917(x44411,a910),x44411),f256(x44411,a910)),f329(f139(f917(x44411,a910),f329(f329(f8(a910,a905,f917(x44411,a910)),x44412),f261(x44411,a910))),f329(f329(f184(x44411,a910),x44413),f329(f329(f157(a910,a910),a117),x44414))))) % 166.52/166.34 [4450]P1(f329(f329(f239(f918(f918(x44501,a905),a905)),f329(f329(f40(x44502,f918(f918(x44501,a905),a905)),x44503),f329(f329(f8(f918(x44501,a905),f918(f918(x44501,a905),a905),x44502),f310(x44501)),x44504))),f329(f310(x44501),f329(f329(f40(x44502,f918(x44501,a905)),x44503),x44504)))) % 166.52/166.34 [4491]E(f329(f329(f88(a1,x44911),f329(f108(a1),f329(f329(f82(a1),x44912),a102))),f329(f329(f18(a1,x44911,x44911),f329(f329(f7(a1,x44911,f918(x44911,x44911)),f329(f329(f8(a905,f918(x44911,f918(x44911,x44911)),a1),f99(x44911)),a196)),x44913)),f329(f329(f18(a1,x44911,x44911),f329(f329(f8(a910,f918(x44911,x44911),a1),x44914),a109)),f329(f329(f8(a910,x44911,a1),f187(x44911,x44913,x44914)),a109)))),f329(f187(x44911,x44913,x44914),f329(f108(a910),x44912))) % 166.52/166.34 [4515]E(f329(f267(f917(x45151,x45152)),f329(f262(x45151,x45152,a905),f329(f329(f7(x45151,f918(x45152,a905),f918(x45152,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x45152,a905),f918(x45152,a905)),x45151),f8(a905,a905,x45152)),f329(f329(f8(a905,f918(a905,a905),x45151),a327),f329(f329(f7(x45151,f918(x45151,a905),a905),f331(x45151)),x45153)))),f329(f329(f7(x45152,f918(x45152,a905),a905),f331(x45152)),x45154)))),f233(x45151,x45152,x45153,x45154)) % 166.52/166.34 [4551]E(f329(f329(f40(x45511,f918(f917(x45511,x45512),a905)),x45513),f329(f329(f18(x45511,f918(x45512,f918(f917(x45511,x45512),a905)),f918(f917(x45511,x45512),a905)),f329(f329(f8(f918(x45512,a905),f918(f918(x45512,f918(f917(x45511,x45512),a905)),f918(f917(x45511,x45512),a905)),x45511),f40(x45512,f918(f917(x45511,x45512),a905))),x45514)),f329(f329(f7(x45511,f918(f917(x45511,x45512),a905),f918(x45512,f918(f917(x45511,x45512),a905))),f329(f329(f8(f918(x45512,f918(f918(f917(x45511,x45512),a905),f918(f917(x45511,x45512),a905))),f918(f918(f917(x45511,x45512),a905),f918(x45512,f918(f917(x45511,x45512),a905))),x45511),f7(x45512,f918(f917(x45511,x45512),a905),f918(f917(x45511,x45512),a905))),f329(f329(f8(f918(x45512,f917(x45511,x45512)),f918(x45512,f918(f918(f917(x45511,x45512),a905),f918(f917(x45511,x45512),a905))),x45511),f329(f8(f917(x45511,x45512),f918(f918(f917(x45511,x45512),a905),f918(f917(x45511,x45512),a905)),x45512),f311(f917(x45511,x45512)))),f257(x45511,x45512)))),f191(f918(f917(x45511,x45512),a905))))),f329(f329(f259(x45511,x45512),x45513),x45514)) % 166.52/166.34 [4118]E(f329(f329(f137(x41181),f329(f329(f178(x41181),x41182),x41183)),f329(f329(f178(x41181),f329(f329(f23(a910),x41182),f329(f192(f911(x41181)),x41183))),x41184)),f329(f329(f178(x41181),x41182),f329(f329(f137(x41181),x41183),x41184))) % 166.52/166.34 [4119]E(f329(f329(f137(x41191),f329(f329(f141(x41191),x41192),x41193)),f329(f329(f141(x41191),f329(f329(f23(a910),x41192),f329(f192(f911(x41191)),x41193))),x41194)),f329(f329(f141(x41191),x41192),f329(f329(f137(x41191),x41193),x41194))) % 166.52/166.34 [4168]E(f329(f329(f82(a910),f329(f329(f83(a910),x41681),x41682)),f329(f329(f82(a910),f329(f329(f83(a910),x41683),x41682)),x41684)),f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f82(a910),x41681),x41683)),x41682)),x41684)) % 166.52/166.34 [4313]E(f92(x43131,f329(f329(f7(x43131,x43132,a905),f329(f329(f8(x43132,f918(x43132,a905),x43131),a326),x43133)),x43134)),f329(f94(x43131,x43132,f247(f918(x43131,a905)),x43133),x43134)) % 166.52/166.34 [4361]P1(f329(f329(f239(f918(x43611,a905)),f329(f329(f23(f918(x43611,a905)),f329(f287(x43612,x43611),x43613)),f329(f287(x43612,x43611),x43614))),f329(f287(x43612,x43611),f329(f329(f23(f918(f917(x43612,x43611),a905)),x43613),x43614)))) % 166.52/166.34 [4362]P1(f329(f329(f239(f918(x43621,a905)),f329(f329(f23(f918(x43621,a905)),f329(f269(x43621,x43622),x43623)),f329(f269(x43621,x43622),x43624))),f329(f269(x43621,x43622),f329(f329(f23(f918(f917(x43621,x43622),a905)),x43623),x43624)))) % 166.52/166.34 [4470]E(f329(f329(f82(a1),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x44701),x44702)),f191(f918(f917(a910,a910),a905)))))),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x44703),x44704)),f191(f918(f917(a910,a910),a905)))))),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),f329(f329(f82(a910),x44701),x44703)),f329(f329(f82(a910),x44702),x44704))),f191(f918(f917(a910,a910),a905)))))) % 166.52/166.34 [4510]E(f329(f329(f83(a1),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x45101),x45102)),f191(f918(f917(a910,a910),a905)))))),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x45103),x45104)),f191(f918(f917(a910,a910),a905)))))),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),f329(f329(f82(a910),f329(f329(f83(a910),x45101),x45103)),f329(f329(f83(a910),x45102),x45104))),f329(f329(f82(a910),f329(f329(f83(a910),x45101),x45104)),f329(f329(f83(a910),x45102),x45103)))),f191(f918(f917(a910,a910),a905)))))) % 166.52/166.34 [4531]E(f329(f267(x45311),f329(f329(f8(f918(x45312,a905),a905,x45311),f90(x45312)),f329(f329(f8(f918(x45312,a905),f918(x45312,a905),x45311),f329(f18(x45312,a905,a905),f329(f329(f8(a905,f918(a905,a905),x45312),a332),f329(f329(f7(x45312,f918(x45312,a905),a905),f331(x45312)),x45313)))),f329(f329(f7(x45311,f918(x45312,f918(x45311,a905)),f918(x45312,a905)),f329(f329(f8(f918(f918(x45311,a905),a905),f918(f918(x45312,f918(x45311,a905)),f918(x45312,a905)),x45311),f8(f918(x45311,a905),a905,x45312)),f331(x45311))),x45314)))),f329(f329(f41(x45312,f918(x45311,a905)),x45313),x45314)) % 166.52/166.34 [4565]E(f329(f329(f291(x45651,x45651,x45651),f329(f329(f311(f917(x45651,x45651)),f329(f329(f257(x45651,x45651),x45652),x45653)),x45654)),f309(x45651,f329(f329(f311(f917(x45651,x45651)),f329(f329(f257(x45651,x45651),x45652),x45653)),x45654))),f329(f329(f115(f918(f917(x45651,x45651),a905)),f329(f329(f291(x45651,x45651,x45651),x45654),f309(x45651,x45654))),f329(f267(f917(x45651,x45651)),f329(f262(x45651,x45651,a905),f329(f329(f7(x45651,f918(x45651,a905),f918(x45651,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x45651,a905),f918(x45651,a905)),x45651),f8(a905,a905,x45651)),f329(f329(f8(a905,f918(a905,a905),x45651),a327),f329(f329(f7(x45651,f918(f917(x45651,x45651),a905),a905),f329(f329(f8(f917(x45651,x45651),f918(f918(f917(x45651,x45651),a905),a905),x45651),f331(f917(x45651,x45651))),f329(f329(f7(x45651,x45651,f917(x45651,x45651)),f257(x45651,x45651)),x45652))),f309(x45651,x45654))))),f329(f329(f7(x45651,f918(f917(x45651,x45651),a905),a905),f329(f329(f8(f917(x45651,x45651),f918(f918(f917(x45651,x45651),a905),a905),x45651),f331(f917(x45651,x45651))),f329(f257(x45651,x45651),x45653))),f309(x45651,x45654))))))) % 166.52/166.34 [4363]E(f329(f139(x43631,f329(f329(f18(x43631,a905,a905),f329(f329(f8(a905,f918(a905,a905),x43631),a327),x43632)),x43633)),x43634),f329(f139(x43631,x43633),f329(f139(x43631,x43632),x43634))) % 166.52/166.34 [4464]E(f329(f329(f137(x44641),f329(f329(f329(f99(f911(x44641)),f329(f329(f331(a910),f2(a910)),x44642)),f329(f329(f154(x44641),x44643),f118(x44641))),f118(x44641))),f179(x44641,x44644,f329(f267(a910),f329(f329(f7(a910,f918(a910,a905),a905),f329(f329(f8(a910,f918(f918(a910,a905),a905),a910),f331(a910)),a117)),x44642)))),f179(x44641,f329(f329(f154(x44641),x44643),x44644),x44642)) % 166.52/166.34 [4561]E(f329(f267(f917(x45611,x45612)),f329(f329(f8(f918(a910,a905),a905,f917(x45611,x45612)),f89(a910)),f329(f329(f7(f917(x45611,x45612),f918(a910,a905),f918(a910,a905)),f329(f329(f8(f918(a910,f918(a905,a905)),f918(f918(a910,a905),f918(a910,a905)),f917(x45611,x45612)),f18(a910,a905,a905)),f329(f329(f8(f918(a910,a905),f918(a910,f918(a905,a905)),f917(x45611,x45612)),f329(f8(a905,f918(a905,a905),a910),a327)),f329(f329(f7(f917(x45611,x45612),f918(a910,f917(x45611,x45612)),f918(a910,a905)),f329(f329(f8(f918(f917(x45611,x45612),a905),f918(f918(a910,f917(x45611,x45612)),f918(a910,a905)),f917(x45611,x45612)),f8(f917(x45611,x45612),a905,a910)),a326)),f329(f329(f18(a910,x45612,f917(x45611,x45612)),f329(f329(f8(x45611,f918(x45612,f917(x45611,x45612)),a910),f257(x45611,x45612)),f329(f167(x45611),x45613))),f329(f167(x45612),x45614)))))),f329(f329(f7(a910,a910,a905),f240(a910)),f329(f329(f237(a910),f329(f192(f911(x45611)),x45613)),f329(f192(f911(x45612)),x45614)))))),f329(f175(f917(x45611,x45612)),f329(f329(f184(x45611,x45612),x45613),x45614))) % 166.52/166.34 [4483]E(f329(f267(f917(x44831,x44832)),f329(f262(x44831,x44832,a905),f329(f329(f7(x44831,f918(x44832,a905),f918(x44832,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x44832,a905),f918(x44832,a905)),x44831),f8(a905,a905,x44832)),f329(f329(f8(a905,f918(a905,a905),x44831),a327),x44833))),x44834))),f329(f329(f259(x44831,x44832),f329(f267(x44831),x44833)),f329(f16(f918(x44832,a905),x44831),f329(f267(x44832),x44834)))) % 166.52/166.34 [4486]E(f329(f267(f917(x44861,x44862)),f329(f262(x44861,x44862,a905),f329(f329(f18(x44861,f918(x44862,a905),f918(x44862,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x44862,a905),f918(x44862,a905)),x44861),f8(a905,a905,x44862)),f329(f329(f8(a905,f918(a905,a905),x44861),a327),x44863))),x44864))),f329(f329(f259(x44861,x44862),f329(f267(x44861),x44863)),f329(f329(f8(f918(x44862,a905),f918(x44862,a905),x44861),f267(x44862)),x44864))) % 166.52/166.34 [4498]E(f329(f267(x44981),f329(f329(f8(f918(x44982,a905),a905,x44981),f90(x44982)),f329(f329(f8(f918(x44982,a905),f918(x44982,a905),x44981),f329(f18(x44982,a905,a905),f329(f329(f8(a905,f918(a905,a905),x44982),a332),f329(f329(f7(x44982,f918(x44982,a905),a905),f331(x44982)),x44983)))),x44984))),f329(f329(f41(x44982,f918(x44981,a905)),x44983),f329(f329(f8(f918(x44981,a905),f918(x44981,a905),x44982),f267(x44981)),f329(f7(x44981,x44982,a905),x44984)))) % 166.52/166.34 [4543]E(f329(f329(f157(f917(x45431,a910),x45431),f256(x45431,a910)),f329(f139(f917(x45431,a910),f329(f329(f7(f917(x45431,a910),f918(a910,a905),a905),f329(f329(f8(a910,f918(f918(a910,a905),a905),f917(x45431,a910)),f331(a910)),f261(x45431,a910))),x45432)),f329(f329(f184(x45431,a910),x45433),f142(a910,f329(f304(a910,x45434),f329(f329(f82(a910),x45434),f329(f192(f911(x45431)),x45433))))))),f329(f329(f157(f917(x45431,a910),x45431),f256(x45431,a910)),f329(f139(f917(x45431,a910),f329(f329(f7(f917(x45431,a910),f918(a910,a905),a905),f329(f329(f8(a910,f918(f918(a910,a905),a905),f917(x45431,a910)),f331(a910)),f329(f329(f7(f917(x45431,a910),a910,a910),f329(f329(f8(a910,f918(a910,a910),f917(x45431,a910)),f82(a910)),f261(x45431,a910))),x45434))),x45432)),f329(f329(f184(x45431,a910),x45433),f142(a910,f329(f304(a910,f2(a910)),f329(f192(f911(x45431)),x45433))))))) % 166.52/166.34 [4544]E(f329(a117,f329(f329(f238(a910),f329(f192(f911(x45441)),x45442)),f329(f145(a910,f911(x45443),f329(f7(f911(x45443),a910,a910),f329(f329(f8(a910,f918(a910,a910),f911(x45443)),f238(a910)),f329(f329(f7(f911(x45443),a910,a910),f329(f329(f8(a910,f918(a910,a910),f911(x45443)),f23(a910)),f192(f911(x45443)))),f329(a117,f2(a910))))),f2(a910)),f329(f171(f911(x45443)),f329(f139(f911(x45443),f329(f329(f8(a905,a905,f911(x45443)),a324),f329(f329(f7(f911(x45443),f911(x45443),a905),a326),f118(x45443)))),x45444))))),f329(f329(f238(a910),f329(a117,f329(f192(f911(x45441)),x45442))),f329(f145(a910,f911(x45443),f329(f7(f911(x45443),a910,a910),f329(f329(f8(a910,f918(a910,a910),f911(x45443)),f238(a910)),f192(f911(x45443)))),f2(a910)),f329(f171(f911(x45443)),x45444)))) % 166.52/166.34 [4497]E(f329(f329(f137(x44971),f179(x44971,x44972,x44973)),f179(x44971,x44974,f329(f267(a910),f329(f329(f7(a910,f918(a910,a905),a905),f329(f329(f8(a910,f918(f918(a910,a905),a905),a910),f331(a910)),f329(f329(f7(a910,a910,a910),f82(a910)),f329(f192(f911(x44971)),x44972)))),x44973)))),f179(x44971,f329(f329(f137(x44971),x44972),x44974),x44973)) % 166.52/166.34 [4545]E(f38(f918(x45451,a905),f329(f267(f918(x45451,a905)),f329(f329(f8(f918(x45452,a905),a905,f918(x45451,a905)),f89(x45452)),f329(f329(f8(f918(x45452,a905),f918(x45452,a905),f918(x45451,a905)),f329(f18(x45452,a905,a905),f329(f329(f8(a905,f918(a905,a905),x45452),a327),f329(f329(f7(x45452,f918(x45452,a905),a905),f331(x45452)),x45453)))),f329(f329(f7(f918(x45451,a905),f918(x45452,f918(x45451,a905)),f918(x45452,a905)),f329(f329(f8(f918(f918(x45451,a905),a905),f918(f918(x45452,f918(x45451,a905)),f918(x45452,a905)),f918(x45451,a905)),f8(f918(x45451,a905),a905,x45452)),a326)),x45454))))),f329(f329(f40(x45452,f918(x45451,a905)),x45453),x45454)) % 166.52/166.34 [4546]E(f39(f918(x45461,a905),f329(f267(f918(x45461,a905)),f329(f329(f8(f918(x45462,a905),a905,f918(x45461,a905)),f89(x45462)),f329(f329(f8(f918(x45462,a905),f918(x45462,a905),f918(x45461,a905)),f329(f18(x45462,a905,a905),f329(f329(f8(a905,f918(a905,a905),x45462),a327),f329(f329(f7(x45462,f918(x45462,a905),a905),f331(x45462)),x45463)))),f329(f329(f7(f918(x45461,a905),f918(x45462,f918(x45461,a905)),f918(x45462,a905)),f329(f329(f8(f918(f918(x45461,a905),a905),f918(f918(x45462,f918(x45461,a905)),f918(x45462,a905)),f918(x45461,a905)),f8(f918(x45461,a905),a905,x45462)),a326)),x45464))))),f329(f329(f41(x45462,f918(x45461,a905)),x45463),x45464)) % 166.52/166.34 [4553]E(f329(f329(f154(f911(x45531)),f329(f329(f154(x45531),x45532),f329(f145(f911(x45531),f911(x45531),f137(x45531),f118(x45531)),f329(f329(f157(f911(x45531),f911(x45531)),f159(f911(x45531),x45531,f118(x45531),f329(f329(f8(f911(x45531),f918(f911(x45531),f911(x45531)),x45531),f16(f911(x45531),f911(x45531))),f329(f329(f7(x45531,f911(x45531),f911(x45531)),f154(x45531)),f118(x45531))))),x45533)))),f182(x45531,f329(f329(f154(f911(x45531)),x45534),f329(f145(f911(f911(x45531)),f911(f911(x45531)),f137(f911(x45531)),f118(f911(x45531))),f329(f329(f157(f911(x45531),f911(f911(x45531))),f159(f911(f911(x45531)),x45531,f118(f911(x45531)),f329(f16(f918(f911(x45531),f911(f911(x45531))),x45531),f329(f329(f7(f911(x45531),f911(f911(x45531)),f911(f911(x45531))),f154(f911(x45531))),f118(f911(x45531)))))),x45533))))),f182(x45531,f329(f329(f154(f911(x45531)),f329(f329(f154(x45531),x45532),x45534)),x45533))) % 166.52/166.34 [4562]E(f329(f267(f917(x45621,x45621)),f329(f262(x45621,x45621,a905),f329(f329(f7(x45621,f918(f917(x45622,x45622),a905),f918(x45621,a905)),f329(f329(f8(f918(x45621,f918(f918(f917(x45622,x45622),a905),a905)),f918(f918(f917(x45622,x45622),a905),f918(x45621,a905)),x45621),f7(x45621,f918(f917(x45622,x45622),a905),a905)),f329(f329(f8(f918(x45621,f917(x45622,x45622)),f918(x45621,f918(f918(f917(x45622,x45622),a905),a905)),x45621),f329(f8(f917(x45622,x45622),f918(f918(f917(x45622,x45622),a905),a905),x45621),f331(f917(x45622,x45622)))),f329(f329(f7(x45621,f918(x45621,x45622),f918(x45621,f917(x45622,x45622))),f329(f329(f8(f918(x45622,f917(x45622,x45622)),f918(f918(x45621,x45622),f918(x45621,f917(x45622,x45622))),x45621),f8(x45622,f917(x45622,x45622),x45621)),f329(f329(f8(x45622,f918(x45622,f917(x45622,x45622)),x45621),f257(x45622,x45622)),x45623))),x45623)))),x45624))),f329(f329(f290(x45622,x45621),x45624),x45623)) % 166.52/166.34 [4619]~E(f32(x46191,x46192),f29(x46193,x46194,x46195)) % 166.52/166.34 [4620]~E(f32(x46201,x46202),f28(x46203,x46204,x46205)) % 166.52/166.34 [4621]~E(f31(x46211,x46212),f29(x46213,x46214,x46215)) % 166.52/166.34 [4622]~E(f31(x46221,x46222),f28(x46223,x46224,x46225)) % 166.52/166.34 [4623]~E(f29(x46231,x46232,x46233),f32(x46234,x46235)) % 166.52/166.34 [4624]~E(f29(x46241,x46242,x46243),f31(x46244,x46245)) % 166.52/166.34 [4625]~E(f28(x46251,x46252,x46253),f32(x46254,x46255)) % 166.52/166.34 [4626]~E(f28(x46261,x46262,x46263),f31(x46264,x46265)) % 166.52/166.34 [3696]E(f329(f329(f157(x36961,x36962),x36963),f172(x36961,x36964,x36965)),f172(x36962,x36964,f329(x36963,x36965))) % 166.52/166.34 [4262]E(f329(f76(x42621,x42622,x42623,x42624,x42625),x42624),x42625) % 166.52/166.34 [4314]E(f258(x43141,x43142,x43143,f248(x43142,x43141,x43144),f248(x43143,x43142,x43145)),f248(x43143,x43141,f258(x43143,x43142,x43141,x43145,x43144))) % 166.52/166.34 [3890]E(f329(f329(f262(x38901,x38902,x38903),x38904),x38905),f329(f329(x38904,f329(f256(x38901,x38902),x38905)),f329(f261(x38901,x38902),x38905))) % 166.52/166.34 [3926]E(f329(f329(f329(f66(x39261,x39262,x39263),x39264),x39265),f191(f918(x39262,a905))),x39265) % 166.52/166.34 [4202]E(f329(f74(f911(x42021),f911(x42022),f911(x42023),f329(f157(x42021,x42022),x42024)),f329(f157(x42023,x42021),x42025)),f329(f157(x42023,x42022),f329(f74(x42021,x42022,x42023,x42024),x42025))) % 166.52/166.34 [4276]E(f87(x42761,f67(x42762,x42761,x42763,x42764,x42765)),f329(f329(f65(x42762,x42761,x42763),x42764),x42765)) % 166.52/166.34 [4310]E(f329(f329(f82(a910),f329(f329(f82(a910),f329(x43101,f329(f256(x43102,x43103),x43104))),f329(x43105,f329(f261(x43102,x43103),x43104)))),f329(a117,f2(a910))),f266(x43102,x43103,x43101,x43105,x43104)) % 166.52/166.34 [3826]E(f329(f329(f178(x38261),x38262),f329(f329(f157(x38263,x38261),x38264),x38265)),f329(f329(f157(x38263,x38261),x38264),f329(f329(f178(x38263),x38262),x38265))) % 166.52/166.34 [3827]E(f329(f329(f141(x38271),x38272),f329(f329(f157(x38273,x38271),x38274),x38275)),f329(f329(f157(x38273,x38271),x38274),f329(f329(f141(x38273),x38272),x38275))) % 166.52/166.34 [3859]E(f329(f329(f157(x38591,x38592),x38593),f329(f329(f154(x38591),x38594),x38595)),f329(f329(f154(x38592),f329(x38593,x38594)),f329(f329(f157(x38591,x38592),x38593),x38595))) % 166.52/166.34 [3920]E(f329(f312(x39201,x39202,x39203),f329(f329(f311(x39201),x39204),x39205)),f329(f329(f311(x39202),f329(x39203,x39204)),f329(f312(x39201,x39202,x39203),x39205))) % 166.52/166.34 [3949]E(f176(x39491,f329(f329(f154(x39491),x39492),x39493),f329(f329(f154(x39491),x39494),x39495)),f329(f329(f154(x39491),x39492),f329(f329(f154(x39491),x39494),f176(x39491,x39493,x39495)))) % 166.52/166.34 [3985]E(f329(f329(f184(x39851,x39852),f329(f329(f178(x39851),x39853),x39854)),f329(f329(f178(x39852),x39853),x39855)),f329(f329(f178(f917(x39851,x39852)),x39853),f329(f329(f184(x39851,x39852),x39854),x39855))) % 166.52/166.34 [3986]E(f329(f329(f184(x39861,x39862),f329(f329(f141(x39861),x39863),x39864)),f329(f329(f141(x39862),x39863),x39865)),f329(f329(f141(f917(x39861,x39862)),x39863),f329(f329(f184(x39861,x39862),x39864),x39865))) % 166.52/166.34 [3996]E(f329(f329(f162(x39961,f329(f329(f154(x39961),x39962),x39963)),f329(a117,x39964)),x39965),f329(f329(f154(x39961),x39962),f329(f329(f162(x39961,x39963),x39964),x39965))) % 166.52/166.34 [3999]E(f329(f329(f137(x39991),f329(f329(f157(x39992,x39991),x39993),x39994)),f329(f329(f157(x39992,x39991),x39993),x39995)),f329(f329(f157(x39992,x39991),x39993),f329(f329(f137(x39992),x39994),x39995))) % 166.52/166.34 [4003]E(f329(f329(x40031,x40032),f329(f329(f250(x40033,x40034,x40031),x40032),x40035)),f329(f329(f250(x40033,x40034,x40031),x40032),f329(a117,x40035))) % 166.52/166.34 [4034]E(f166(x40341,x40342,x40343,f329(f329(f154(x40341),x40344),x40345)),f329(f329(f137(x40342),f329(x40343,x40344)),f166(x40341,x40342,x40343,x40345))) % 166.52/166.34 [4046]E(f329(f329(f291(x40461,x40462,x40463),f329(f289(x40462,x40461),x40464)),f329(f289(x40463,x40462),x40465)),f329(f289(x40463,x40461),f329(f329(f291(x40463,x40462,x40461),x40465),x40464))) % 166.52/166.34 [4078]E(f329(f329(f329(f186(f911(x40781),f911(x40781)),x40782),f170(x40781)),f329(f329(f157(x40783,x40781),x40784),x40785)),f329(f329(f157(x40783,x40781),x40784),f329(f329(f329(f186(f911(x40783),f911(x40783)),x40782),f170(x40783)),x40785))) % 166.52/166.34 [4079]E(f329(f329(f264(x40791,x40792,x40791,x40793),f329(f257(x40792,x40791),x40794)),x40795),f329(x40795,x40794)) % 166.52/166.34 [4105]E(f158(x41051,x41052,f329(f329(f157(x41053,x41051),x41054),x41055)),f158(x41053,f329(f74(x41051,a910,x41053,x41052),x41054),x41055)) % 166.52/166.34 [4167]E(f180(f917(x41671,x41672),f329(f74(x41672,a905,f917(x41671,x41672),x41673),f261(x41671,x41672)),f329(f329(f184(x41671,x41672),x41674),x41675)),f329(f329(f184(x41671,x41672),x41674),f180(x41672,x41673,x41675))) % 166.52/166.34 [4172]E(f329(f312(x41721,x41722,f329(f329(f8(x41723,x41722,x41721),x41724),x41725)),f247(f918(x41721,a905))),f329(f312(x41723,x41722,x41724),f329(f312(x41721,x41723,x41725),f247(f918(x41721,a905))))) % 166.52/166.34 [4185]E(f180(f917(x41851,x41852),f329(f74(x41851,a905,f917(x41851,x41852),x41853),f256(x41851,x41852)),f329(f329(f184(x41851,x41852),x41854),x41855)),f329(f329(f184(x41851,x41852),f180(x41851,x41853,x41854)),x41855)) % 166.52/166.34 [4206]E(f329(f329(f115(f918(x42061,a905)),f329(f313(x42061,x42062,x42063),f329(f329(f311(x42062),x42064),f191(f918(x42062,a905))))),f329(f313(x42061,x42062,x42063),x42065)),f329(f313(x42061,x42062,x42063),f329(f329(f311(x42062),x42064),x42065))) % 166.52/166.34 [4261]E(f329(f329(f137(f917(x42611,x42612)),f329(f329(f157(x42612,f917(x42611,x42612)),f329(f257(x42611,x42612),x42613)),x42614)),f60(x42611,x42612,x42615,x42614)),f60(x42611,x42612,f329(f329(f154(x42611),x42613),x42615),x42614)) % 166.52/166.34 [4263]E(f329(f329(f157(x42631,x42632),x42633),f180(x42631,f329(f74(x42632,a905,x42631,x42634),x42633),x42635)),f180(x42632,x42634,f329(f329(f157(x42631,x42632),x42633),x42635))) % 166.52/166.34 [4268]E(f329(f145(x42681,x42682,f329(f7(x42682,x42681,x42681),f329(f7(x42681,x42682,x42681),x42683)),x42684),f329(f171(x42682),f329(f171(x42682),x42685))),f329(f145(x42681,x42682,x42683,x42684),x42685)) % 166.52/166.34 [4371]P1(f329(f329(f239(f918(x43711,a905)),f329(f312(x43712,x43711,x43713),f329(f329(f106(f918(x43712,a905)),x43714),x43715))),f329(f329(f106(f918(x43711,a905)),f329(f312(x43712,x43711,x43713),x43714)),f329(f312(x43712,x43711,x43713),x43715)))) % 166.52/166.34 [4372]P1(f329(f329(f239(f918(x43721,a905)),f329(f288(x43722,x43721,x43723),f329(f329(f106(f918(x43722,a905)),x43724),x43725))),f329(f329(f106(f918(x43721,a905)),f329(f288(x43722,x43721,x43723),x43724)),f329(f288(x43722,x43721,x43723),x43725)))) % 166.52/166.34 [4471]E(f329(f261(x44711,x44712),f329(f263(x44713,x44711,x44712,x44712,x44714,f33(x44712)),x44715)),f329(f261(x44713,x44712),x44715)) % 166.52/166.34 [4472]E(f329(f256(x44721,x44722),f329(f263(x44721,x44721,x44723,x44722,f33(x44721),x44724),x44725)),f329(f256(x44721,x44723),x44725)) % 166.52/166.34 [4560]P29(x45601,x45602,f329(f329(f311(f909(x45601)),f329(f329(f329(f93(x45601),f329(f329(f7(x45601,f918(a906,a905),f918(a906,a905)),f329(f329(f8(f918(a906,f918(a905,a905)),f918(f918(a906,a905),f918(a906,a905)),x45601),f18(a906,a905,a905)),f329(f329(f8(f918(a906,a905),f918(a906,f918(a905,a905)),x45601),f329(f8(a905,f918(a905,a905),a906),a327)),x45603))),f329(f329(f8(a905,a905,a906),a324),x45604))),f31(x45604,x45605)),x45603)),f191(f918(f909(x45601),a905)))) % 166.52/166.34 [3666]E(f329(f329(f329(f329(f208(x36661),x36662),x36663),x36664),x36665),f195(x36661,x36662)) % 166.52/166.34 [3667]E(f329(f329(f329(f329(f212(x36671),x36672),x36673),x36674),x36675),f203(x36671,x36672)) % 166.52/166.34 [3712]E(f96(x37121,x37122,f329(f329(f329(f93(x37121),x37123),x37124),x37125)),f2(a910)) % 166.52/166.34 [4035]E(f329(f329(f40(x40351,f918(x40352,a905)),f329(f329(f311(x40351),x40353),x40354)),x40355),f329(f329(f115(f918(x40352,a905)),f329(x40355,x40353)),f329(f329(f40(x40351,f918(x40352,a905)),x40354),x40355))) % 166.52/166.34 [4036]E(f329(f329(f41(x40361,f918(x40362,a905)),f329(f329(f311(x40361),x40363),x40364)),x40365),f329(f329(f106(f918(x40362,a905)),f329(x40365,x40363)),f329(f329(f41(x40361,f918(x40362,a905)),x40364),x40365))) % 166.52/166.34 [4086]E(f329(f123(x40861,x40862,f329(x40863,x40864)),f329(f329(f7(x40861,a104,f912(x40862)),x40865),x40864)),f329(f201(x40861,x40862,x40863,x40865),x40864)) % 166.52/166.34 [4099]E(f329(f329(f115(f918(x40991,a905)),f329(f312(x40992,x40991,x40993),x40994)),f329(f312(x40992,x40991,x40993),x40995)),f329(f312(x40992,x40991,x40993),f329(f329(f115(f918(x40992,a905)),x40994),x40995))) % 166.52/166.34 [4100]E(f329(f329(f115(f918(x41001,a905)),f329(f313(x41001,x41002,x41003),x41004)),f329(f313(x41001,x41002,x41003),x41005)),f329(f313(x41001,x41002,x41003),f329(f329(f115(f918(x41002,a905)),x41004),x41005))) % 166.52/166.34 [4101]E(f329(f329(f23(f918(x41011,a905)),f329(f313(x41011,x41012,x41013),x41014)),f329(f313(x41011,x41012,x41013),x41015)),f329(f313(x41011,x41012,x41013),f329(f329(f23(f918(x41012,a905)),x41014),x41015))) % 166.52/166.34 [4102]E(f329(f329(f106(f918(x41021,a905)),f329(f313(x41021,x41022,x41023),x41024)),f329(f313(x41021,x41022,x41023),x41025)),f329(f313(x41021,x41022,x41023),f329(f329(f106(f918(x41022,a905)),x41024),x41025))) % 166.52/166.34 [4103]E(f329(f329(f115(f918(x41031,a905)),f329(f288(x41032,x41031,x41033),x41034)),f329(f288(x41032,x41031,x41033),x41035)),f329(f288(x41032,x41031,x41033),f329(f329(f115(f918(x41032,a905)),x41034),x41035))) % 166.52/166.34 [4163]E(f329(f329(f162(x41631,f329(f329(f137(x41631),x41632),f329(f329(f154(x41631),x41633),x41634))),f329(f192(f911(x41631)),x41632)),x41635),f329(f329(f137(x41631),x41632),f329(f329(f154(x41631),x41635),x41634))) % 166.52/166.34 [4170]E(f329(f329(f41(x41701,f918(x41702,a905)),x41703),f329(f329(f8(f918(x41702,a905),f918(x41702,a905),x41701),f329(f311(x41702),x41704)),x41705)),f329(f329(f311(x41702),x41704),f329(f329(f41(x41701,f918(x41702,a905)),x41703),x41705))) % 166.52/166.34 [4323]E(f329(f329(f157(x43231,x43232),x43233),f329(f139(x43231,f329(f74(x43232,a905,x43231,x43234),x43233)),x43235)),f329(f139(x43232,x43234),f329(f329(f157(x43231,x43232),x43233),x43235))) % 166.52/166.34 [4329]E(f329(f192(f911(x43291)),f329(f139(x43291,x43292),f329(f329(f157(x43293,x43291),x43294),x43295))),f329(f192(f911(x43293)),f329(f139(x43293,f329(f74(x43291,a905,x43293,x43292),x43294)),x43295))) % 166.52/166.34 [4536]E(f329(f159(f911(f917(x45361,x45362)),x45362,f118(f917(x45361,x45362)),f329(f329(f7(x45362,f918(f911(x45362),f911(f917(x45361,x45362))),f918(f911(x45362),f911(f917(x45361,x45362)))),f329(f329(f8(f918(f911(f917(x45361,x45362)),f911(f917(x45361,x45362))),f918(f918(f911(x45362),f911(f917(x45361,x45362))),f918(f911(x45362),f911(f917(x45361,x45362)))),x45362),f8(f911(f917(x45361,x45362)),f911(f917(x45361,x45362)),f911(x45362))),f329(f329(f8(f917(x45361,x45362),f918(f911(f917(x45361,x45362)),f911(f917(x45361,x45362))),x45362),f154(f917(x45361,x45362))),f329(f257(x45361,x45362),x45363)))),f329(f184(x45361,x45362),x45364))),x45365),f329(f329(f184(x45361,x45362),f329(f329(f154(x45361),x45363),x45364)),x45365)) % 166.52/166.34 [4028]E(f329(f329(f162(x40281,f329(f329(f162(x40281,x40282),x40283),x40284)),x40283),x40285),f329(f329(f162(x40281,x40282),x40283),x40285)) % 166.52/166.34 [4080]E(f329(f287(x40801,x40802),f329(f329(f311(f917(x40801,x40802)),f329(f329(f257(x40801,x40802),x40803),x40804)),x40805)),f329(f329(f311(x40802),x40804),f329(f287(x40801,x40802),x40805))) % 166.52/166.34 [4081]E(f329(f269(x40811,x40812),f329(f329(f311(f917(x40811,x40812)),f329(f329(f257(x40811,x40812),x40813),x40814)),x40815)),f329(f329(f311(x40811),x40813),f329(f269(x40811,x40812),x40815))) % 166.52/166.34 [4128]E(f126(x41281,x41282,f329(x41283,x41284),f329(f329(f7(x41281,a104,f912(f914(x41282))),x41285),x41284)),f329(f199(x41281,x41282,x41283,x41285),x41284)) % 166.52/166.34 [4156]E(f329(f329(f115(f918(f917(x41561,x41562),a905)),f329(f329(f259(x41561,x41562),x41563),x41564)),f329(f329(f259(x41561,x41562),x41565),x41564)),f329(f329(f259(x41561,x41562),f329(f329(f115(f918(x41561,a905)),x41563),x41565)),x41564)) % 166.52/166.34 [4157]E(f329(f329(f23(f918(f917(x41571,x41572),a905)),f329(f329(f259(x41571,x41572),x41573),x41574)),f329(f329(f259(x41571,x41572),x41575),x41574)),f329(f329(f259(x41571,x41572),f329(f329(f23(f918(x41571,a905)),x41573),x41575)),x41574)) % 166.52/166.34 [4158]E(f329(f329(f106(f918(f917(x41581,x41582),a905)),f329(f329(f259(x41581,x41582),x41583),x41584)),f329(f329(f259(x41581,x41582),x41585),x41584)),f329(f329(f259(x41581,x41582),f329(f329(f106(f918(x41581,a905)),x41583),x41585)),x41584)) % 166.52/166.34 [4217]E(f329(f329(f115(f918(x42171,a905)),f329(f329(f40(x42172,f918(x42171,a905)),x42173),x42174)),f329(f329(f40(x42172,f918(x42171,a905)),x42175),x42174)),f329(f329(f40(x42172,f918(x42171,a905)),f329(f329(f115(f918(x42172,a905)),x42173),x42175)),x42174)) % 166.52/166.34 [4218]E(f329(f329(f106(f918(x42181,a905)),f329(f329(f41(x42182,f918(x42181,a905)),x42183),x42184)),f329(f329(f41(x42182,f918(x42181,a905)),x42185),x42184)),f329(f329(f41(x42182,f918(x42181,a905)),f329(f329(f115(f918(x42182,a905)),x42183),x42185)),x42184)) % 166.52/166.34 [4232]E(f329(f329(f40(x42321,f918(x42322,a905)),x42323),f329(f329(f8(f918(x42322,a905),f918(x42322,a905),x42321),f329(f23(f918(x42322,a905)),x42324)),x42325)),f329(f329(f23(f918(x42322,a905)),x42324),f329(f329(f41(x42321,f918(x42322,a905)),x42323),x42325))) % 166.52/166.34 [4233]E(f329(f329(f40(x42331,f918(x42332,a905)),x42333),f329(f329(f8(f918(x42332,a905),f918(x42332,a905),x42331),f329(f106(f918(x42332,a905)),x42334)),x42335)),f329(f329(f106(f918(x42332,a905)),x42334),f329(f329(f40(x42331,f918(x42332,a905)),x42333),x42335))) % 166.52/166.34 [4234]E(f329(f329(f41(x42341,f918(x42342,a905)),x42343),f329(f329(f8(f918(x42342,a905),f918(x42342,a905),x42341),f329(f115(f918(x42342,a905)),x42344)),x42345)),f329(f329(f115(f918(x42342,a905)),x42344),f329(f329(f41(x42341,f918(x42342,a905)),x42343),x42345))) % 166.52/166.34 [4288]E(f188(f911(x42881),f329(f329(f154(x42881),x42882),x42883),f329(f329(f8(f911(x42881),f911(x42881),a910),f329(f154(x42881),x42884)),f329(f329(f7(a910,x42881,f911(x42881)),f162(x42881,x42883)),x42882)),x42885),f329(f329(f162(x42881,f329(f329(f154(x42881),x42884),x42883)),x42885),x42882)) % 166.52/166.34 [4292]E(f329(f329(f40(x42921,f918(f917(x42922,x42923),a905)),x42924),f329(f329(f8(f918(f917(x42923,x42922),a905),f918(f917(x42922,x42923),a905),x42921),f289(x42923,x42922)),x42925)),f329(f289(x42923,x42922),f329(f329(f40(x42921,f918(f917(x42923,x42922),a905)),x42924),x42925))) % 166.52/166.34 [4293]E(f329(f329(f41(x42931,f918(f917(x42932,x42933),a905)),x42934),f329(f329(f8(f918(f917(x42933,x42932),a905),f918(f917(x42932,x42933),a905),x42931),f289(x42933,x42932)),x42935)),f329(f289(x42933,x42932),f329(f329(f41(x42931,f918(f917(x42933,x42932),a905)),x42934),x42935))) % 166.52/166.34 [4394]P1(f329(f329(f239(f918(x43941,a905)),f329(f329(f23(f918(x43941,a905)),f329(f312(x43942,x43941,x43943),x43944)),f329(f312(x43942,x43941,x43943),x43945))),f329(f312(x43942,x43941,x43943),f329(f329(f23(f918(x43942,a905)),x43944),x43945)))) % 166.52/166.34 [4539]E(f329(f159(f911(f917(x45391,x45392)),x45391,f118(f917(x45391,x45392)),f329(f329(f7(x45391,f918(f911(x45391),f911(f917(x45391,x45392))),f918(f911(x45391),f911(f917(x45391,x45392)))),f329(f329(f8(f918(f911(f917(x45391,x45392)),f911(f917(x45391,x45392))),f918(f918(f911(x45391),f911(f917(x45391,x45392))),f918(f911(x45391),f911(f917(x45391,x45392)))),x45391),f8(f911(f917(x45391,x45392)),f911(f917(x45391,x45392)),f911(x45391))),f329(f329(f8(f917(x45391,x45392),f918(f911(f917(x45391,x45392)),f911(f917(x45391,x45392))),x45391),f154(f917(x45391,x45392))),f329(f329(f7(x45391,x45392,f917(x45391,x45392)),f257(x45391,x45392)),x45393)))),f329(f329(f7(f911(x45391),f911(x45392),f911(f917(x45391,x45392))),f184(x45391,x45392)),x45394))),x45395),f329(f329(f184(x45391,x45392),x45395),f329(f329(f154(x45392),x45393),x45394))) % 166.52/166.34 [4257]E(f329(f329(f115(f918(x42571,a905)),f329(f288(x42572,x42571,x42573),x42574)),f329(f288(x42572,x42571,x42575),x42574)),f329(f288(x42572,x42571,f329(f329(f115(f918(f917(x42572,x42571),a905)),x42573),x42575)),x42574)) % 166.52/166.34 [4294]E(f329(f329(f137(f917(x42941,x42942)),f329(f329(f184(x42941,x42942),x42943),f329(f329(f178(x42942),f329(f192(f911(x42941)),x42943)),x42944))),f329(f329(f184(x42941,x42942),x42945),f329(f329(f141(x42942),f329(f192(f911(x42941)),x42943)),x42944))),f329(f329(f184(x42941,x42942),f329(f329(f137(x42941),x42943),x42945)),x42944)) % 166.52/166.34 [4397]E(f329(f329(f259(x43971,x43972),x43973),f329(f329(f18(x43971,f918(x43972,a905),f918(x43972,a905)),f329(f329(f8(f918(x43972,a905),f918(f918(x43972,a905),f918(x43972,a905)),x43971),f115(f918(x43972,a905))),x43974)),x43975)),f329(f329(f115(f918(f917(x43971,x43972),a905)),f329(f329(f259(x43971,x43972),x43973),x43974)),f329(f329(f259(x43971,x43972),x43973),x43975))) % 166.52/166.34 [4398]E(f329(f329(f259(x43981,x43982),x43983),f329(f329(f18(x43981,f918(x43982,a905),f918(x43982,a905)),f329(f329(f8(f918(x43982,a905),f918(f918(x43982,a905),f918(x43982,a905)),x43981),f23(f918(x43982,a905))),x43984)),x43985)),f329(f329(f23(f918(f917(x43981,x43982),a905)),f329(f329(f259(x43981,x43982),x43983),x43984)),f329(f329(f259(x43981,x43982),x43983),x43985))) % 166.52/166.34 [4399]E(f329(f329(f259(x43991,x43992),x43993),f329(f329(f18(x43991,f918(x43992,a905),f918(x43992,a905)),f329(f329(f8(f918(x43992,a905),f918(f918(x43992,a905),f918(x43992,a905)),x43991),f106(f918(x43992,a905))),x43994)),x43995)),f329(f329(f106(f918(f917(x43991,x43992),a905)),f329(f329(f259(x43991,x43992),x43993),x43994)),f329(f329(f259(x43991,x43992),x43993),x43995))) % 166.52/166.34 [4403]E(f329(f329(f40(x44031,f918(x44032,a905)),x44033),f329(f329(f7(x44031,f918(x44032,a905),f918(x44032,a905)),f329(f329(f8(f918(x44032,a905),f918(f918(x44032,a905),f918(x44032,a905)),x44031),f23(f918(x44032,a905))),x44034)),x44035)),f329(f329(f23(f918(x44032,a905)),f329(f329(f40(x44031,f918(x44032,a905)),x44033),x44034)),x44035)) % 166.52/166.34 [4404]E(f329(f329(f40(x44041,f918(x44042,a905)),x44043),f329(f329(f7(x44041,f918(x44042,a905),f918(x44042,a905)),f329(f329(f8(f918(x44042,a905),f918(f918(x44042,a905),f918(x44042,a905)),x44041),f106(f918(x44042,a905))),x44044)),x44045)),f329(f329(f106(f918(x44042,a905)),f329(f329(f40(x44041,f918(x44042,a905)),x44043),x44044)),x44045)) % 166.52/166.34 [4405]E(f329(f329(f41(x44051,f918(x44052,a905)),x44053),f329(f329(f7(x44051,f918(x44052,a905),f918(x44052,a905)),f329(f329(f8(f918(x44052,a905),f918(f918(x44052,a905),f918(x44052,a905)),x44051),f115(f918(x44052,a905))),x44054)),x44055)),f329(f329(f115(f918(x44052,a905)),f329(f329(f41(x44051,f918(x44052,a905)),x44053),x44054)),x44055)) % 166.52/166.34 [4409]E(f329(f329(f40(x44091,f918(x44092,a905)),x44093),f329(f329(f18(x44091,f918(x44092,a905),f918(x44092,a905)),f329(f329(f8(f918(x44092,a905),f918(f918(x44092,a905),f918(x44092,a905)),x44091),f115(f918(x44092,a905))),x44094)),x44095)),f329(f329(f115(f918(x44092,a905)),f329(f329(f40(x44091,f918(x44092,a905)),x44093),x44094)),f329(f329(f40(x44091,f918(x44092,a905)),x44093),x44095))) % 166.52/166.34 [4410]E(f329(f329(f41(x44101,f918(x44102,a905)),x44103),f329(f329(f18(x44101,f918(x44102,a905),f918(x44102,a905)),f329(f329(f8(f918(x44102,a905),f918(f918(x44102,a905),f918(x44102,a905)),x44101),f106(f918(x44102,a905))),x44104)),x44105)),f329(f329(f106(f918(x44102,a905)),f329(f329(f41(x44101,f918(x44102,a905)),x44103),x44104)),f329(f329(f41(x44101,f918(x44102,a905)),x44103),x44105))) % 166.52/166.34 [4423]E(f329(f329(f40(x44231,f918(x44232,a905)),x44233),f329(f329(f18(x44231,f918(x44232,a905),f918(x44232,a905)),f329(f329(f8(f918(x44232,a905),f918(f918(x44232,a905),f918(x44232,a905)),x44231),f115(f918(x44232,a905))),x44234)),x44235)),f329(f329(f115(f918(x44232,a905)),f38(f918(x44232,a905),f329(f312(x44231,f918(x44232,a905),x44234),x44233))),f38(f918(x44232,a905),f329(f312(x44231,f918(x44232,a905),x44235),x44233)))) % 166.52/166.34 [4424]E(f329(f329(f41(x44241,f918(x44242,a905)),x44243),f329(f329(f18(x44241,f918(x44242,a905),f918(x44242,a905)),f329(f329(f8(f918(x44242,a905),f918(f918(x44242,a905),f918(x44242,a905)),x44241),f106(f918(x44242,a905))),x44244)),x44245)),f329(f329(f106(f918(x44242,a905)),f39(f918(x44242,a905),f329(f312(x44241,f918(x44242,a905),x44244),x44243))),f39(f918(x44242,a905),f329(f312(x44241,f918(x44242,a905),x44245),x44243)))) % 166.52/166.34 [4460]E(f329(f329(f141(x44601),f329(f192(f911(x44601)),f180(x44601,x44602,f329(f329(f157(x44603,x44601),x44604),x44605)))),f329(f329(f157(x44603,x44601),x44604),x44605)),f329(f329(f157(x44603,x44601),x44604),f329(f329(f141(x44603),f329(f192(f911(x44603)),f180(x44603,f329(f74(x44601,a905,x44603,x44602),x44604),x44605))),x44605))) % 166.52/166.34 [4336]E(f329(f329(f137(f917(x43361,x43362)),f329(f329(f184(x43361,x43362),f329(f329(f178(x43361),f329(f192(f911(x43362)),x43363)),x43364)),x43363)),f329(f329(f184(x43361,x43362),f329(f329(f141(x43361),f329(f192(f911(x43362)),x43363)),x43364)),x43365)),f329(f329(f184(x43361,x43362),x43364),f329(f329(f137(x43362),x43363),x43365))) % 166.52/166.34 [4451]E(f87(x44511,f329(f329(f18(x44511,a905,a905),f329(f329(f8(a905,f918(a905,a905),x44511),a327),f329(f329(f7(x44511,f918(x44511,a905),a905),f331(x44511)),x44512))),f329(f329(f7(x44511,x44513,a905),f329(f329(f8(x44513,f918(x44513,a905),x44511),a326),x44514)),x44515))),f329(f79(x44511,x44513,x44512,x44514),x44515)) % 166.52/166.34 [4452]E(f92(x44521,f329(f329(f18(x44521,a905,a905),f329(f329(f8(a905,f918(a905,a905),x44521),a327),f329(f329(f7(x44521,f918(x44521,a905),a905),f331(x44521)),x44522))),f329(f329(f7(x44521,x44523,a905),f329(f329(f8(x44523,f918(x44523,a905),x44521),a326),x44524)),x44525))),f329(f94(x44521,x44523,x44522,x44524),x44525)) % 166.52/166.34 [4500]E(f329(f329(f88(a1,x45001),f329(f108(a1),f329(f329(f82(a1),x45002),a102))),f329(f329(f18(a1,x45001,x45001),f329(f329(f7(a1,x45001,f918(x45001,x45001)),f329(f329(f8(a905,f918(x45001,f918(x45001,x45001)),a1),f99(x45001)),a196)),f188(x45001,x45003,x45004,x45005))),f329(f329(f8(a910,x45001,a1),x45004),f329(f329(f7(a1,a910,a910),f329(f329(f8(a910,f918(a910,a910),a1),f82(a910)),a109)),x45005)))),f188(x45001,x45003,x45004,f329(f329(f82(a910),f329(f108(a910),x45002)),x45005))) % 166.52/166.34 [4535]E(f329(f329(f88(a1,x45351),f329(f108(a1),f329(f329(f82(a1),x45352),a102))),f329(f329(f18(a1,x45351,x45351),f329(f329(f7(a1,x45351,f918(x45351,x45351)),f329(f329(f8(a905,f918(x45351,f918(x45351,x45351)),a1),f99(x45351)),a196)),f329(f187(x45351,x45353,x45354),x45355))),f329(f329(f18(a1,x45351,x45351),f329(f329(f8(a910,f918(x45351,x45351),a1),x45354),f329(f329(f7(a1,a910,a910),f329(f329(f8(a910,f918(a910,a910),a1),f82(a910)),a109)),x45355))),f329(f329(f8(a910,x45351,a1),f187(x45351,x45353,x45354)),f329(f329(f7(a1,a910,a910),f329(f329(f8(a910,f918(a910,a910),a1),f82(a910)),a109)),x45355))))),f329(f187(x45351,x45353,x45354),f329(f329(f82(a910),f329(f108(a910),x45352)),x45355))) % 166.52/166.34 [4570]E(f329(f267(f917(x45701,x45702)),f329(f262(x45701,x45702,a905),f329(f329(f8(f918(x45702,f918(x45703,a905)),f918(x45702,a905),x45701),f329(f8(f918(x45703,a905),a905,x45702),f89(x45703))),f329(f329(f7(x45701,f918(x45702,f918(x45703,a905)),f918(x45702,f918(x45703,a905))),f329(f329(f8(f918(f918(x45703,a905),f918(x45703,a905)),f918(f918(x45702,f918(x45703,a905)),f918(x45702,f918(x45703,a905))),x45701),f8(f918(x45703,a905),f918(x45703,a905),x45702)),f329(f329(f8(f918(x45703,f918(a905,a905)),f918(f918(x45703,a905),f918(x45703,a905)),x45701),f18(x45703,a905,a905)),f329(f329(f8(f918(x45703,a905),f918(x45703,f918(a905,a905)),x45701),f329(f8(a905,f918(a905,a905),x45703),a327)),f329(f329(f7(x45701,f918(f917(x45701,x45703),a905),f918(x45703,a905)),f329(f329(f8(f918(x45703,f918(f918(f917(x45701,x45703),a905),a905)),f918(f918(f917(x45701,x45703),a905),f918(x45703,a905)),x45701),f7(x45703,f918(f917(x45701,x45703),a905),a905)),f329(f329(f8(f918(x45703,f917(x45701,x45703)),f918(x45703,f918(f918(f917(x45701,x45703),a905),a905)),x45701),f329(f8(f917(x45701,x45703),f918(f918(f917(x45701,x45703),a905),a905),x45703),f331(f917(x45701,x45703)))),f257(x45701,x45703)))),x45704))))),f329(f329(f7(x45702,f918(f917(x45703,x45702),a905),f918(x45703,a905)),f329(f329(f8(f918(x45703,f918(f918(f917(x45703,x45702),a905),a905)),f918(f918(f917(x45703,x45702),a905),f918(x45703,a905)),x45702),f7(x45703,f918(f917(x45703,x45702),a905),a905)),f329(f329(f8(f918(x45703,f917(x45703,x45702)),f918(x45703,f918(f918(f917(x45703,x45702),a905),a905)),x45702),f329(f8(f917(x45703,x45702),f918(f918(f917(x45703,x45702),a905),a905),x45703),f331(f917(x45703,x45702)))),f329(f7(x45703,x45702,f917(x45703,x45702)),f257(x45703,x45702))))),x45705))))),f329(f329(f291(x45701,x45703,x45702),x45704),x45705)) % 166.52/166.34 [4645]~E(f28(x46451,x46452,x46453),f29(x46454,x46455,x46456)) % 166.52/166.34 [4186]E(f228(x41861,x41862,x41863,x41864,f224(x41861,x41862,x41865,x41866)),f329(f329(x41864,x41865),x41866)) % 166.52/166.34 [4187]E(f229(x41871,x41872,x41873,x41874,f224(x41871,x41872,x41875,x41876)),f329(f329(x41874,x41875),x41876)) % 166.52/166.34 [4312]E(f131(x43121,x43122,x43123,x43124,f130(x43122,x43125,x43126)),f329(f329(f329(x43124,x43125),x43126),f131(x43121,x43122,x43123,x43124,x43126))) % 166.52/166.34 [4331]E(f76(x43311,x43312,f76(x43311,x43312,x43313,x43314,x43315),x43314,x43316),f76(x43311,x43312,x43313,x43314,x43316)) % 166.52/166.34 [4439]E(f329(f74(f917(x44391,x44392),x44392,f917(x44393,x44394),f261(x44391,x44392)),f263(x44393,x44391,x44394,x44392,x44395,x44396)),f329(f74(x44394,x44392,f917(x44393,x44394),x44396),f261(x44393,x44394))) % 166.52/166.34 [4440]E(f329(f74(f917(x44401,x44402),x44401,f917(x44403,x44404),f256(x44401,x44402)),f263(x44403,x44401,x44404,x44402,x44405,x44406)),f329(f74(x44403,x44401,f917(x44403,x44404),x44405),f256(x44403,x44404))) % 166.52/166.34 [4056]E(f329(f329(f74(x40561,x40562,x40563,x40564),x40565),x40566),f329(x40564,f329(x40565,x40566))) % 166.52/166.34 [4196]E(f227(x41961,f917(x41962,f912(x41962)),x41963,f329(f262(x41962,f912(x41962),x41961),x41964),f329(f138(x41962),f130(x41962,x41965,x41966))),f329(f329(x41964,x41965),x41966)) % 166.52/166.34 [4246]E(f230(x42461,x42462,x42463,x42464,f224(x42461,x42462,x42465,x42466)),f329(f329(f82(a910),f329(f329(f82(a910),f329(x42463,x42465)),f329(x42464,x42466))),f329(a117,f2(a910)))) % 166.52/166.34 [3857]E(f329(f329(f262(x38571,x38572,x38573),x38574),f329(f329(f257(x38571,x38572),x38575),x38576)),f329(f329(x38574,x38575),x38576)) % 166.52/166.34 [3917]E(f329(f329(f329(f8(x39171,x39172,x39173),x39174),x39175),x39176),f329(x39174,f329(x39175,x39176))) % 166.52/166.34 [3918]E(f329(f329(f329(f7(x39181,x39182,x39183),x39184),x39185),x39186),f329(f329(x39184,x39186),x39185)) % 166.52/166.34 [3936]E(f329(f329(f329(f18(x39361,x39362,x39363),x39364),x39365),x39366),f329(f329(x39364,x39366),f329(x39365,x39366))) % 166.52/166.34 [3957]E(f329(f159(x39571,x39572,x39573,x39574),f329(f329(f154(x39572),x39575),x39576)),f329(f329(x39574,x39575),x39576)) % 166.52/166.34 [3995]E(f172(f917(x39951,x39952),f329(f329(f237(a910),x39953),x39954),f329(f329(f257(x39951,x39952),x39955),x39956)),f329(f329(f184(x39951,x39952),f172(x39951,x39953,x39955)),f172(x39952,x39954,x39956))) % 166.52/166.34 [4060]E(f329(f329(f154(f917(x40601,x40602)),f329(f329(f257(x40601,x40602),x40603),x40604)),f329(f329(f184(x40601,x40602),x40605),x40606)),f329(f329(f184(x40601,x40602),f329(f329(f154(x40601),x40603),x40605)),f329(f329(f154(x40602),x40604),x40606))) % 166.52/166.34 [4061]E(f329(f329(f157(x40611,x40612),x40613),f329(f329(f162(x40611,x40614),x40615),x40616)),f329(f329(f162(x40612,f329(f329(f157(x40611,x40612),x40613),x40614)),x40615),f329(x40613,x40616))) % 166.52/166.34 [4085]E(f329(f329(f260(x40851,x40852,x40853,x40854),x40855),x40856),f329(x40854,f329(f329(f257(x40851,x40852),x40855),x40856))) % 166.52/166.34 [4104]E(f329(f145(x41041,x41042,x41043,x41044),f329(f329(f154(x41042),x41045),x41046)),f329(f145(x41041,x41042,x41043,f329(f329(x41043,x41044),x41045)),x41046)) % 166.52/166.34 [4129]E(f265(x41291,x41292,x41293,x41294,f329(f329(f257(x41291,x41292),x41295),x41296)),f329(f329(x41294,x41295),x41296)) % 166.52/166.34 [4210]E(f329(f329(f40(x42101,f918(x42102,a905)),x42103),f329(f74(x42104,f918(x42102,a905),x42101,x42105),x42106)),f329(f329(f40(x42104,f918(x42102,a905)),f329(f312(x42101,x42104,x42106),x42103)),x42105)) % 166.52/166.34 [4260]E(f329(f329(f157(x42601,x42602),x42603),f329(f329(f157(x42604,x42601),x42605),x42606)),f329(f329(f157(x42604,x42602),f329(f74(x42601,x42602,x42604,x42603),x42605)),x42606)) % 166.52/166.34 [4266]E(f329(f312(x42661,x42662,f329(f74(x42663,x42662,x42661,x42664),x42665)),x42666),f329(f312(x42663,x42662,x42664),f329(f312(x42661,x42663,x42665),x42666))) % 166.52/166.34 [4267]E(f329(f313(x42671,x42672,f329(f74(x42673,x42672,x42671,x42674),x42675)),x42676),f329(f313(x42671,x42673,x42675),f329(f313(x42673,x42672,x42674),x42676))) % 166.52/166.34 [4295]E(f329(f145(x42951,x42952,x42953,f329(f145(x42951,x42952,x42953,x42954),x42955)),x42956),f329(f145(x42951,x42952,x42953,x42954),f329(f329(f137(x42952),x42955),x42956))) % 166.52/166.34 [4429]E(f329(f263(x44291,x44291,x44292,x44293,f33(x44291),x44294),f329(f329(f257(x44291,x44292),x44295),x44296)),f329(f329(f257(x44291,x44293),x44295),f329(x44294,x44296))) % 166.52/166.34 [4430]E(f329(f263(x44301,x44302,x44303,x44303,x44304,f33(x44303)),f329(f329(f257(x44301,x44303),x44305),x44306)),f329(f329(f257(x44302,x44303),f329(x44304,x44305)),x44306)) % 166.52/166.34 [4518]E(f329(f329(f157(f917(x45181,x45182),f917(x45181,x45183)),f329(f262(x45181,x45182,f917(x45181,x45183)),f329(f329(f7(x45181,f918(x45182,x45183),f918(x45182,f917(x45181,x45183))),f329(f329(f8(f918(x45183,f917(x45181,x45183)),f918(f918(x45182,x45183),f918(x45182,f917(x45181,x45183))),x45181),f8(x45183,f917(x45181,x45183),x45182)),f257(x45181,x45183))),x45184))),f329(f329(f184(x45181,x45182),x45185),x45186)),f329(f329(f184(x45181,x45183),x45185),f329(f329(f157(x45182,x45183),x45184),x45186))) % 166.52/166.34 [3922]E(f97(x39221,x39222,x39223,f329(f329(f329(f93(x39221),x39224),x39225),x39226)),f329(f329(f329(x39223,x39224),x39225),x39226)) % 166.52/166.34 [3923]E(f98(x39231,x39232,x39233,f329(f329(f329(f93(x39231),x39234),x39235),x39236)),f329(f329(f329(x39233,x39234),x39235),x39236)) % 166.52/166.34 [4113]E(f329(f329(f74(x41131,x41132,x41133,f329(f16(x41132,x41131),x41134)),x41135),x41136),x41134) % 166.52/166.34 [4145]E(f329(f312(x41451,x41452,x41453),f329(f312(x41454,x41451,x41455),x41456)),f329(f312(x41454,x41452,f329(f329(f8(x41451,x41452,x41454),x41453),x41455)),x41456)) % 166.52/166.34 [4151]E(f329(f329(f40(x41511,f918(x41512,a905)),f329(f312(x41513,x41511,x41514),x41515)),x41516),f329(f329(f40(x41513,f918(x41512,a905)),x41515),f329(f329(f8(x41511,f918(x41512,a905),x41513),x41516),x41514))) % 166.52/166.34 [4152]E(f329(f329(f41(x41521,f918(x41522,a905)),f329(f312(x41523,x41521,x41524),x41525)),x41526),f329(f329(f41(x41523,f918(x41522,a905)),x41525),f329(f329(f8(x41521,f918(x41522,a905),x41523),x41526),x41524))) % 166.52/166.34 [4153]E(f329(f329(f40(x41531,f918(x41532,a905)),x41533),f329(f329(f8(x41534,f918(x41532,a905),x41531),x41535),x41536)),f329(f329(f40(x41534,f918(x41532,a905)),f329(f312(x41531,x41534,x41536),x41533)),x41535)) % 166.52/166.34 [4154]E(f329(f329(f41(x41541,f918(x41542,a905)),x41543),f329(f329(f8(x41544,f918(x41542,a905),x41541),x41545),x41546)),f329(f329(f41(x41544,f918(x41542,a905)),f329(f312(x41541,x41544,x41546),x41543)),x41545)) % 166.52/166.34 [4212]E(f329(f329(f40(x42121,f918(x42122,a905)),x42123),f329(f329(f8(f918(x42124,a905),f918(x42122,a905),x42121),f312(x42124,x42122,x42125)),x42126)),f329(f312(x42124,x42122,x42125),f329(f329(f40(x42121,f918(x42124,a905)),x42123),x42126))) % 166.52/166.34 [4213]E(f329(f329(f40(x42131,f918(x42132,a905)),x42133),f329(f329(f8(f918(x42134,a905),f918(x42132,a905),x42131),f313(x42132,x42134,x42135)),x42136)),f329(f313(x42132,x42134,x42135),f329(f329(f40(x42131,f918(x42134,a905)),x42133),x42136))) % 166.52/166.34 [4214]E(f329(f329(f41(x42141,f918(x42142,a905)),x42143),f329(f329(f8(f918(x42144,a905),f918(x42142,a905),x42141),f313(x42142,x42144,x42145)),x42146)),f329(f313(x42142,x42144,x42145),f329(f329(f41(x42141,f918(x42144,a905)),x42143),x42146))) % 166.52/166.34 [4215]E(f329(f329(f40(x42151,f918(x42152,a905)),x42153),f329(f329(f8(f918(x42154,a905),f918(x42152,a905),x42151),f288(x42154,x42152,x42155)),x42156)),f329(f288(x42154,x42152,x42155),f329(f329(f40(x42151,f918(x42154,a905)),x42153),x42156))) % 166.52/166.34 [4300]E(f329(f145(x43001,x43002,f329(f7(x43002,x43001,x43001),x43003),x43004),f329(f171(x43002),f329(f329(f154(x43002),x43005),x43006))),f329(f329(x43003,x43005),f329(f145(x43001,x43002,f329(f7(x43002,x43001,x43001),x43003),x43004),f329(f171(x43002),x43006)))) % 166.52/166.34 [4358]E(f329(f329(f18(f917(x43581,x43582),x43582,x43583),f329(f329(f8(x43584,f918(x43582,x43583),f917(x43581,x43582)),x43585),f329(f329(f8(x43581,x43584,f917(x43581,x43582)),x43586),f256(x43581,x43582)))),f261(x43581,x43582)),f329(f262(x43581,x43582,x43583),f329(f329(f8(x43584,f918(x43582,x43583),x43581),x43585),x43586))) % 166.52/166.34 [4365]E(f329(f145(x43651,x43652,f329(f7(x43652,x43651,x43651),x43653),f329(f145(x43651,x43652,f329(f7(x43652,x43651,x43651),x43653),x43654),f329(f171(x43652),x43655))),f329(f171(x43652),x43656)),f329(f145(x43651,x43652,f329(f7(x43652,x43651,x43651),x43653),x43654),f329(f171(x43652),f329(f329(f137(x43652),x43656),x43655)))) % 166.52/166.34 [4367]E(f329(f329(f157(f917(x43671,x43672),f917(x43673,x43672)),f329(f262(x43671,x43672,f917(x43673,x43672)),f329(f329(f8(x43673,f918(x43672,f917(x43673,x43672)),x43671),f257(x43673,x43672)),x43674))),f329(f329(f184(x43671,x43672),x43675),x43676)),f329(f329(f184(x43673,x43672),f329(f329(f157(x43671,x43673),x43674),x43675)),x43676)) % 166.52/166.34 [4412]P1(f329(f329(f239(f918(x44121,a905)),f329(f288(x44122,x44121,x44123),f329(f329(f41(x44124,f918(x44122,a905)),x44125),x44126))),f329(f329(f41(x44124,f918(x44121,a905)),x44125),f329(f329(f8(f918(x44122,a905),f918(x44121,a905),x44124),f288(x44122,x44121,x44123)),x44126)))) % 166.52/166.34 [4225]E(f329(f329(f184(x42251,x42252),f329(f329(f162(x42251,x42253),x42254),f329(f256(x42251,x42252),x42255))),f329(f329(f162(x42252,x42256),x42254),f329(f261(x42251,x42252),x42255))),f329(f329(f162(f917(x42251,x42252),f329(f329(f184(x42251,x42252),x42253),x42256)),x42254),x42255)) % 166.52/166.34 [4283]E(f329(f329(f115(f918(f917(x42831,x42832),a905)),f329(f329(f291(x42831,x42833,x42832),x42834),x42835)),f329(f329(f291(x42831,x42833,x42832),x42834),x42836)),f329(f329(f291(x42831,x42833,x42832),x42834),f329(f329(f115(f918(f917(x42833,x42832),a905)),x42835),x42836))) % 166.52/166.34 [4377]E(f329(f329(f311(f917(x43771,x43772)),f329(f329(f257(x43771,x43772),x43773),x43774)),f329(f329(f115(f918(f917(x43771,x43772),a905)),f329(f329(f259(x43771,x43772),x43775),f329(f16(f918(x43772,a905),x43771),f329(f329(f311(x43772),x43774),x43776)))),f329(f329(f259(x43771,x43772),f329(f329(f311(x43771),x43773),x43775)),f329(f16(f918(x43772,a905),x43771),x43776)))),f329(f329(f259(x43771,x43772),f329(f329(f311(x43771),x43773),x43775)),f329(f16(f918(x43772,a905),x43771),f329(f329(f311(x43772),x43774),x43776)))) % 166.52/166.34 [4456]E(f329(f329(f106(f918(x44561,a905)),f329(f313(x44561,x44562,f329(f74(f917(x44562,x44563),x44562,x44561,f256(x44562,x44563)),x44564)),x44565)),f329(f313(x44561,x44563,f329(f74(f917(x44562,x44563),x44563,x44561,f261(x44562,x44563)),x44564)),x44566)),f329(f313(x44561,f917(x44562,x44563),x44564),f329(f329(f259(x44562,x44563),x44565),f329(f16(f918(x44563,a905),x44562),x44566)))) % 166.52/166.34 [4306]E(f329(f329(f115(f918(f917(x43061,x43062),a905)),f329(f329(f291(x43061,x43063,x43062),x43064),x43065)),f329(f329(f291(x43061,x43063,x43062),x43066),x43065)),f329(f329(f291(x43061,x43063,x43062),f329(f329(f115(f918(f917(x43061,x43063),a905)),x43064),x43066)),x43065)) % 166.52/166.34 [4437]E(f329(f329(f40(x44371,f918(x44372,a905)),x44373),f329(f329(f7(x44371,f918(x44374,f918(x44372,a905)),f918(x44372,a905)),f329(f329(f8(f918(x44374,a905),f918(f918(x44374,f918(x44372,a905)),f918(x44372,a905)),x44371),f40(x44374,f918(x44372,a905))),x44375)),x44376)),f329(f329(f40(x44374,f918(x44372,a905)),f329(f329(f40(x44371,f918(x44374,a905)),x44373),x44375)),x44376)) % 166.52/166.34 [4438]E(f329(f329(f41(x44381,f918(x44382,a905)),x44383),f329(f329(f7(x44381,f918(x44384,f918(x44382,a905)),f918(x44382,a905)),f329(f329(f8(f918(x44384,a905),f918(f918(x44384,f918(x44382,a905)),f918(x44382,a905)),x44381),f41(x44384,f918(x44382,a905))),x44385)),x44386)),f329(f329(f41(x44384,f918(x44382,a905)),f329(f329(f40(x44381,f918(x44384,a905)),x44383),x44385)),x44386)) % 166.52/166.34 [4490]E(f329(f262(x44901,x44902,f917(x44903,x44904)),f329(f329(f7(x44901,f918(x44902,x44904),f918(x44902,f917(x44903,x44904))),f329(f329(f8(f918(x44904,f917(x44903,x44904)),f918(f918(x44902,x44904),f918(x44902,f917(x44903,x44904))),x44901),f8(x44904,f917(x44903,x44904),x44902)),f329(f329(f8(x44903,f918(x44904,f917(x44903,x44904)),x44901),f257(x44903,x44904)),x44905))),x44906)),f263(x44901,x44903,x44902,x44904,x44905,x44906)) % 166.52/166.34 [4513]E(f329(f312(x45131,x45132,f329(f329(f18(x45131,x45132,x45132),f329(f329(f18(x45131,x45132,f918(x45132,x45132)),f329(f329(f8(a905,f918(x45132,f918(x45132,x45132)),x45131),f99(x45132)),x45133)),x45134)),x45135)),x45136),f329(f329(f115(f918(x45132,a905)),f329(f312(x45131,x45132,x45134),f329(f329(f106(f918(x45131,a905)),x45136),f329(f267(x45131),x45133)))),f329(f312(x45131,x45132,x45135),f329(f329(f106(f918(x45131,a905)),x45136),f329(f267(x45131),f329(f329(f8(a905,a905,x45131),a324),x45133)))))) % 166.52/166.34 [4525]E(f329(f312(x45251,f917(x45252,x45253),f329(f329(f18(x45251,x45253,f917(x45252,x45253)),f329(f329(f8(x45252,f918(x45253,f917(x45252,x45253)),x45251),f257(x45252,x45253)),x45254)),x45255)),x45256),f329(f329(f259(x45252,x45253),f329(f312(x45251,x45252,x45254),x45256)),f329(f329(f8(f918(x45251,a905),f918(x45253,a905),x45252),f312(x45251,x45253,x45255)),f329(f329(f7(x45252,f918(x45251,a905),f918(x45251,a905)),f329(f329(f8(f918(x45251,a905),f918(f918(x45251,a905),f918(x45251,a905)),x45252),f106(f918(x45251,a905))),f329(f329(f8(f918(x45252,a905),f918(x45251,a905),x45252),f313(x45251,x45252,x45254)),f329(f329(f7(x45252,f918(x45252,a905),f918(x45252,a905)),f311(x45252)),f191(f918(x45252,a905)))))),x45256)))) % 166.52/166.34 [4550]E(f251(x45501,x45502,x45503,x45504,x45505,x45506),f329(x45504,f329(f267(x45501),f329(f329(f8(f918(f918(x45503,x45501),a905),a905,x45501),f89(f918(x45503,x45501))),f329(f329(f8(f918(f918(x45503,x45501),a905),f918(f918(x45503,x45501),a905),x45501),f329(f18(f918(x45503,x45501),a905,a905),f329(f329(f8(a905,f918(a905,a905),f918(x45503,x45501)),a327),f329(f329(f7(f918(x45503,x45501),f918(f918(x45503,x45501),a905),a905),f331(f918(x45503,x45501))),x45505)))),f329(f329(f7(x45501,f918(f918(x45503,x45501),x45501),f918(f918(x45503,x45501),a905)),f329(f329(f8(f918(x45501,a905),f918(f918(f918(x45503,x45501),x45501),f918(f918(x45503,x45501),a905)),x45501),f8(x45501,a905,f918(x45503,x45501))),a326)),f329(f329(f7(f918(x45503,x45501),x45503,x45501),f5(f918(x45503,x45501))),x45506))))))) % 166.52/166.34 [4339]E(f329(f74(x43391,x43392,x43393,x43394),f76(x43393,x43391,x43395,x43396,x43397)),f76(x43393,x43392,f329(f74(x43391,x43392,x43393,x43394),x43395),x43396,f329(x43394,x43397))) % 166.52/166.34 [4473]E(f329(f261(x44731,x44732),f329(f263(x44733,x44731,x44734,x44732,x44735,x44736),x44737)),f329(x44736,f329(f261(x44733,x44734),x44737))) % 166.52/166.34 [4474]E(f329(f256(x44741,x44742),f329(f263(x44743,x44741,x44744,x44742,x44745,x44746),x44747)),f329(x44745,f329(f256(x44743,x44744),x44747))) % 166.52/166.34 [4188]E(f329(f329(f184(x41881,x41882),f329(f329(f162(x41881,x41883),x41884),x41885)),f329(f329(f162(x41882,x41886),x41884),x41887)),f329(f329(f162(f917(x41881,x41882),f329(f329(f184(x41881,x41882),x41883),x41886)),x41884),f329(f329(f257(x41881,x41882),x41885),x41887))) % 166.52/166.34 [4255]E(f329(f329(f329(f264(x42551,x42552,x42553,x42554),x42555),x42556),x42557),f329(f329(f262(x42552,x42553,x42554),x42556),f329(x42555,x42557))) % 166.52/166.34 [4265]E(f329(f329(f329(f264(x42651,x42652,x42653,x42654),x42655),x42656),x42657),f329(f329(x42656,f329(f256(x42652,x42653),f329(x42655,x42657))),f329(f261(x42652,x42653),f329(x42655,x42657)))) % 166.52/166.34 [4317]E(f329(f74(x43171,x43172,x43173,x43174),f329(f74(x43175,x43171,x43173,x43176),x43177)),f329(f74(x43175,x43172,x43173,f329(f74(x43171,x43172,x43175,x43174),x43176)),x43177)) % 166.52/166.34 [4494]E(f329(f263(x44941,x44942,x44943,x44943,x44944,f33(x44943)),f329(f263(x44941,x44941,x44945,x44943,f33(x44941),x44946),x44947)),f329(f329(f257(x44942,x44943),f329(x44944,f329(f256(x44941,x44945),x44947))),f329(x44946,f329(f261(x44941,x44945),x44947)))) % 166.52/166.34 [4495]E(f329(f263(x44951,x44951,x44952,x44953,f33(x44951),x44954),f329(f263(x44955,x44951,x44952,x44952,x44956,f33(x44952)),x44957)),f329(f329(f257(x44951,x44953),f329(x44956,f329(f256(x44955,x44952),x44957))),f329(x44954,f329(f261(x44955,x44952),x44957)))) % 166.52/166.34 [4511]E(f329(f263(x45111,x45112,x45113,x45113,x45114,f33(x45113)),f329(f263(x45115,x45111,x45113,x45113,x45116,f33(x45113)),x45117)),f329(f263(x45115,x45112,x45113,x45113,f329(f74(x45111,x45112,x45115,x45114),x45116),f33(x45113)),x45117)) % 166.52/166.34 [4512]E(f329(f263(x45121,x45121,x45122,x45123,f33(x45121),x45124),f329(f263(x45121,x45121,x45125,x45122,f33(x45121),x45126),x45127)),f329(f263(x45121,x45121,x45125,x45123,f33(x45121),f329(f74(x45122,x45123,x45125,x45124),x45126)),x45127)) % 166.52/166.34 [4522]E(f329(f263(x45221,x45222,x45223,x45223,x45224,f33(x45223)),f329(f263(x45221,x45221,x45225,x45223,f33(x45221),x45226),x45227)),f329(f263(x45222,x45222,x45225,x45223,f33(x45222),x45226),f329(f263(x45221,x45222,x45225,x45225,x45224,f33(x45225)),x45227))) % 166.52/166.34 [4222]E(f329(f329(f291(x42221,x42222,x42223),f329(f329(f291(x42221,x42224,x42222),x42225),x42226)),x42227),f329(f329(f291(x42221,x42224,x42223),x42225),f329(f329(f291(x42224,x42222,x42223),x42226),x42227))) % 166.52/166.34 [4289]E(f329(f329(f262(x42891,x42892,x42893),f329(f74(x42894,f918(x42892,x42893),x42891,x42895),x42896)),x42897),f329(f329(x42895,f329(x42896,f329(f256(x42891,x42892),x42897))),f329(f261(x42891,x42892),x42897))) % 166.52/166.34 [4370]E(f329(f145(x43701,x43702,f329(f7(x43702,x43701,x43701),x43703),x43704),f329(f171(x43702),f329(f329(f157(x43705,x43702),x43706),x43707))),f329(f145(x43701,x43705,f329(f7(x43705,x43701,x43701),f329(f74(x43702,f918(x43701,x43701),x43705,x43703),x43706)),x43704),f329(f171(x43705),x43707))) % 166.52/166.34 [4318]E(f329(f329(f40(x43181,f918(f917(x43182,x43183),a905)),x43184),f329(f329(f8(f918(f917(x43185,x43183),a905),f918(f917(x43182,x43183),a905),x43181),f329(f291(x43182,x43185,x43183),x43186)),x43187)),f329(f329(f291(x43182,x43185,x43183),x43186),f329(f329(f40(x43181,f918(f917(x43185,x43183),a905)),x43184),x43187))) % 166.52/166.34 [4461]E(f329(f329(f40(x44611,f918(f917(x44612,x44613),a905)),x44614),f329(f329(f7(x44611,f918(f917(x44615,x44613),a905),f918(f917(x44612,x44613),a905)),f329(f329(f8(f918(f917(x44612,x44615),a905),f918(f918(f917(x44615,x44613),a905),f918(f917(x44612,x44613),a905)),x44611),f291(x44612,x44615,x44613)),x44616)),x44617)),f329(f329(f291(x44612,x44615,x44613),f329(f329(f40(x44611,f918(f917(x44612,x44615),a905)),x44614),x44616)),x44617)) % 166.52/166.34 [4462]E(f329(f145(x44621,x44622,f329(f329(f7(x44621,f918(x44622,x44623),f918(x44622,x44621)),f329(f329(f8(f918(x44623,x44621),f918(f918(x44622,x44623),f918(x44622,x44621)),x44621),f8(x44623,x44621,x44622)),x44624)),x44625),x44626),x44627),f329(f145(x44621,x44623,x44624,x44626),f329(f329(f157(x44622,x44623),x44625),x44627))) % 166.52/166.34 [4523]E(f329(f329(f41(x45231,f918(x45232,a905)),x45233),f329(f329(f8(f918(x45234,f918(x45232,a905)),f918(x45232,a905),x45231),f329(f41(x45234,f918(x45232,a905)),x45235)),f329(f329(f7(x45231,f918(x45234,f918(x45232,a905)),f918(x45234,f918(x45232,a905))),f329(f329(f8(f918(f918(x45232,a905),f918(x45232,a905)),f918(f918(x45234,f918(x45232,a905)),f918(x45234,f918(x45232,a905))),x45231),f8(f918(x45232,a905),f918(x45232,a905),x45234)),f329(f329(f8(f918(x45232,a905),f918(f918(x45232,a905),f918(x45232,a905)),x45231),f115(f918(x45232,a905))),x45236))),x45237))),f329(f329(f115(f918(x45232,a905)),f329(f329(f41(x45231,f918(x45232,a905)),x45233),x45236)),f329(f329(f41(x45234,f918(x45232,a905)),x45235),x45237))) % 166.52/166.34 [4524]E(f329(f329(f40(x45241,f918(x45242,a905)),x45243),f329(f329(f8(f918(x45244,f918(x45242,a905)),f918(x45242,a905),x45241),f329(f40(x45244,f918(x45242,a905)),x45245)),f329(f329(f7(x45241,f918(x45244,f918(x45242,a905)),f918(x45244,f918(x45242,a905))),f329(f329(f8(f918(f918(x45242,a905),f918(x45242,a905)),f918(f918(x45244,f918(x45242,a905)),f918(x45244,f918(x45242,a905))),x45241),f8(f918(x45242,a905),f918(x45242,a905),x45244)),f329(f329(f8(f918(x45242,a905),f918(f918(x45242,a905),f918(x45242,a905)),x45241),f106(f918(x45242,a905))),x45246))),x45247))),f329(f329(f106(f918(x45242,a905)),f329(f329(f40(x45241,f918(x45242,a905)),x45243),x45246)),f329(f329(f40(x45244,f918(x45242,a905)),x45245),x45247))) % 166.52/166.34 [4516]E(f201(x45161,x45162,f329(f329(f329(x45163,x45164),x45165),x45166),f329(f329(f7(x45161,f917(a104,a104),f918(a104,f912(x45162))),f329(f329(f7(x45161,a104,f918(f917(a104,a104),f918(a104,f912(x45162)))),f329(f329(f7(x45161,a104,f918(a104,f918(f917(a104,a104),f918(a104,f912(x45162))))),x45167),x45164)),x45165)),x45166)),f329(f329(f329(f213(x45161,x45162,x45163,x45167),x45164),x45165),x45166)) % 166.52/166.34 [4530]E(f202(x45301,x45302,f329(f329(f329(x45303,x45304),x45305),x45306),f329(f329(f7(x45301,f917(a104,a104),f918(a104,f912(x45302))),f329(f329(f7(x45301,a104,f918(f917(a104,a104),f918(a104,f912(x45302)))),f329(f329(f7(x45301,a104,f918(a104,f918(f917(a104,a104),f918(a104,f912(x45302))))),x45307),x45304)),x45305)),x45306)),f215(x45301,x45302,x45303,x45307,x45304,x45305,x45306)) % 166.52/166.34 [4521]E(f199(x45211,x45212,f329(f329(f329(x45213,x45214),x45215),x45216),f329(f329(f7(x45211,f917(a104,a104),f918(a104,f912(f914(x45212)))),f329(f329(f7(x45211,a104,f918(f917(a104,a104),f918(a104,f912(f914(x45212))))),f329(f329(f7(x45211,a104,f918(a104,f918(f917(a104,a104),f918(a104,f912(f914(x45212)))))),x45217),x45214)),x45215)),x45216)),f329(f329(f329(f209(x45211,x45212,x45213,x45217),x45214),x45215),x45216)) % 166.52/166.34 [4532]E(f200(x45321,x45322,f329(f329(f329(x45323,x45324),x45325),x45326),f329(f329(f7(x45321,f917(a104,a104),f918(a104,f912(f914(x45322)))),f329(f329(f7(x45321,a104,f918(f917(a104,a104),f918(a104,f912(f914(x45322))))),f329(f329(f7(x45321,a104,f918(a104,f918(f917(a104,a104),f918(a104,f912(f914(x45322)))))),x45327),x45324)),x45325)),x45326)),f211(x45321,x45322,x45323,x45327,x45324,x45325,x45326)) % 166.52/166.34 [4431]E(f329(f263(x44311,x44312,x44313,x44314,x44315,x44316),f329(f329(f257(x44311,x44313),x44317),x44318)),f329(f329(f257(x44312,x44314),f329(x44315,x44317)),f329(x44316,x44318))) % 166.52/166.34 [4534]E(f329(f329(f157(f917(x45341,x45342),f917(x45343,x45344)),f329(f262(x45341,x45342,f917(x45343,x45344)),f329(f329(f7(x45341,f918(x45342,x45344),f918(x45342,f917(x45343,x45344))),f329(f329(f8(f918(x45344,f917(x45343,x45344)),f918(f918(x45342,x45344),f918(x45342,f917(x45343,x45344))),x45341),f8(x45344,f917(x45343,x45344),x45342)),f329(f329(f8(x45343,f918(x45344,f917(x45343,x45344)),x45341),f257(x45343,x45344)),x45345))),x45346))),f329(f329(f184(x45341,x45342),x45347),x45348)),f329(f329(f184(x45343,x45344),f329(f329(f157(x45341,x45343),x45345),x45347)),f329(f329(f157(x45342,x45344),x45346),x45348))) % 166.52/166.34 [4537]E(f329(f329(f157(f917(x45371,x45372),x45373),f329(f262(x45371,x45372,x45373),f329(f329(f8(f918(x45372,f917(x45371,x45374)),f918(x45372,x45373),x45371),f329(f8(f917(x45371,x45374),x45373,x45372),x45375)),f329(f329(f7(x45371,f918(x45372,x45374),f918(x45372,f917(x45371,x45374))),f329(f329(f8(f918(x45374,f917(x45371,x45374)),f918(f918(x45372,x45374),f918(x45372,f917(x45371,x45374))),x45371),f8(x45374,f917(x45371,x45374),x45372)),f257(x45371,x45374))),x45376)))),f329(f329(f184(x45371,x45372),x45377),x45378)),f329(f329(f157(f917(x45371,x45374),x45373),x45375),f329(f329(f184(x45371,x45374),x45377),f329(f329(f157(x45372,x45374),x45376),x45378)))) % 166.52/166.34 [4465]E(f329(f329(f157(f917(x44651,x44652),x44653),f329(f262(x44651,x44652,x44653),f329(f329(f8(f918(x44652,f917(x44654,x44652)),f918(x44652,x44653),x44651),f329(f8(f917(x44654,x44652),x44653,x44652),x44655)),f329(f329(f8(x44654,f918(x44652,f917(x44654,x44652)),x44651),f257(x44654,x44652)),x44656)))),f329(f329(f184(x44651,x44652),x44657),x44658)),f329(f329(f157(f917(x44654,x44652),x44653),x44655),f329(f329(f184(x44654,x44652),f329(f329(f157(x44651,x44654),x44656),x44657)),x44658))) % 166.52/166.34 [4422]E(f329(f329(f262(x44221,x44222,x44223),f329(f329(f8(f918(x44222,f917(x44224,x44225)),f918(x44222,x44223),x44221),f329(f8(f917(x44224,x44225),x44223,x44222),f329(f262(x44224,x44225,x44223),x44226))),x44227)),x44228),f329(f329(f262(x44224,x44225,x44223),x44226),f329(f329(f262(x44221,x44222,f917(x44224,x44225)),x44227),x44228))) % 166.52/166.34 [4538]E(f329(f329(f40(f917(x45381,x45382),f918(f917(x45383,x45384),a905)),f329(f329(f259(x45381,x45382),x45385),f329(f16(f918(x45382,a905),x45381),x45386))),f329(f262(x45381,x45382,f918(f917(x45383,x45384),a905)),f329(f329(f7(x45381,f918(x45382,f918(x45383,f918(x45384,a905))),f918(x45382,f918(f917(x45383,x45384),a905))),f329(f329(f8(f918(f918(x45383,f918(x45384,a905)),f918(f917(x45383,x45384),a905)),f918(f918(x45382,f918(x45383,f918(x45384,a905))),f918(x45382,f918(f917(x45383,x45384),a905))),x45381),f8(f918(x45383,f918(x45384,a905)),f918(f917(x45383,x45384),a905),x45382)),f329(f329(f8(f918(x45383,a905),f918(f918(x45383,f918(x45384,a905)),f918(f917(x45383,x45384),a905)),x45381),f259(x45383,x45384)),x45387))),f329(f329(f8(f918(x45384,a905),f918(x45383,f918(x45384,a905)),x45382),f16(f918(x45384,a905),x45383)),x45388)))),f329(f329(f259(x45383,x45384),f329(f329(f40(x45381,f918(x45383,a905)),x45385),x45387)),f329(f16(f918(x45384,a905),x45383),f329(f329(f40(x45382,f918(x45384,a905)),x45386),x45388)))) % 166.52/166.34 [4479]E(f329(f329(f264(x44791,x44792,x44793,x44794),f329(f329(f264(x44791,x44795,x44796,f917(x44792,x44793)),x44797),x44798)),x44799),f329(f329(f264(x44791,x44795,x44796,x44794),x44797),f329(f329(f7(x44795,f918(x44792,f918(x44793,x44794)),f918(x44796,x44794)),f329(f329(f8(f918(x44796,f917(x44792,x44793)),f918(f918(x44792,f918(x44793,x44794)),f918(x44796,x44794)),x44795),f264(x44796,x44792,x44793,x44794)),x44798)),x44799))) % 166.52/166.34 [4508]E(f329(f74(f917(x45081,x45082),f917(x45083,x45084),f917(x45085,x45086),f263(x45081,x45083,x45082,x45084,x45087,x45088)),f263(x45085,x45081,x45086,x45082,x45089,x450810)),f263(x45085,x45083,x45086,x45084,f329(f74(x45081,x45083,x45085,x45087),x45089),f329(f74(x45082,x45084,x45086,x45088),x450810))) % 166.52/166.34 [4514]E(f329(f263(x45141,x45142,x45143,x45144,x45145,x45146),f329(f263(x45147,x45141,x45148,x45143,x45149,x451410),x451411)),f329(f263(x45147,x45142,x45148,x45144,f329(f74(x45141,x45142,x45147,x45145),x45149),f329(f74(x45143,x45144,x45148,x45146),x451410)),x451411)) % 166.52/166.34 [4673]~P9(x46731)+P9(f914(x46731)) % 166.52/166.34 [4674]~P70(x46741)+P70(f914(x46741)) % 166.52/166.34 [4675]~P107(x46751)+P107(f911(x46751)) % 166.52/166.34 [4678]~P147(x46781)+~E(f80(x46781),f2(x46781)) % 166.52/166.34 [4680]~E(x46801,f2(a104))+E(f329(a22,x46801),f2(a1)) % 166.52/166.34 [4681]~E(x46811,f2(a1))+E(f84(a1,x46811),f2(a1)) % 166.52/166.34 [4687]~P109(x46871)+P35(x46871,f2(x46871)) % 166.52/166.34 [4689]~P112(x46891)+P18(x46891,f118(x46891)) % 166.52/166.34 [4698]P1(x46981)+P1(f329(a324,x46981)) % 166.52/166.34 [4752]~P109(x47521)+~P35(x47521,f80(x47521)) % 166.52/166.34 [4794]~P1(x47941)+~P1(f329(a324,x47941)) % 166.52/166.34 [4815]E(f329(a109,x48151),f2(a910))+~P1(f329(a196,x48151)) % 166.52/166.34 [4881]~P103(x48811)+P19(x48811,x48811,f115(x48811)) % 166.52/166.34 [4882]~P104(x48821)+P19(x48821,x48821,f106(x48821)) % 166.52/166.34 [4883]~P99(x48831)+P19(x48831,x48831,f83(x48831)) % 166.52/166.34 [4884]~P112(x48841)+P19(x48841,x48841,f237(x48841)) % 166.52/166.34 [4885]~P112(x48851)+P19(x48851,x48851,f238(x48851)) % 166.52/166.34 [4886]~P76(x48861)+P21(x48861,x48861,f83(x48861)) % 166.52/166.34 [4684]~E(x46841,f2(a910))+E(f329(f105(a1),x46841),f2(a1)) % 166.52/166.34 [4691]~P96(x46911)+E(f329(f108(x46911),a85),f2(x46911)) % 166.52/166.34 [4694]~E(f572(x46941),f2(a910))+E(f329(f168(a910),x46941),f2(a910)) % 166.52/166.34 [4695]~P113(x46951)+E(f241(x46951,f239(x46951)),f237(x46951)) % 166.52/166.34 [4696]~P113(x46961)+E(f242(x46961,f239(x46961)),f238(x46961)) % 166.52/166.34 [4697]~P93(x46971)+E(f84(x46971,f2(x46971)),f2(x46971)) % 166.52/166.34 [4706]~P109(x47061)+E(f329(f105(x47061),f2(a910)),f2(x47061)) % 166.52/166.34 [4707]~P109(x47071)+E(f329(f105(x47071),f80(a910)),f80(x47071)) % 166.52/166.34 [4708]~P120(x47081)+E(f329(f107(x47081),f2(a1)),f2(x47081)) % 166.52/166.34 [4709]~P120(x47091)+E(f329(f107(x47091),f80(a1)),f80(x47091)) % 166.52/166.34 [4710]E(x47101,f2(a910))+~E(f329(f105(a1),x47101),f2(a1)) % 166.52/166.34 [4746]~P89(x47461)+E(f329(f77(x47461),f2(x47461)),f2(x47461)) % 166.52/166.34 [4747]~P123(x47471)+E(f329(f77(x47471),f80(x47471)),f80(x47471)) % 166.52/166.34 [4748]~P79(x47481)+E(f329(f81(x47481),f2(x47481)),f2(x47481)) % 166.52/166.34 [4749]~P98(x47491)+E(f329(f81(x47491),f191(x47491)),f247(x47491)) % 166.52/166.34 [4750]~P98(x47501)+E(f329(f81(x47501),f247(x47501)),f191(x47501)) % 166.52/166.34 [4751]~P4(x47511)+E(f329(f168(x47511),f118(x47511)),f2(x47511)) % 166.52/166.34 [4770]~P42(x47701)+P47(f329(f175(a1),x47701)) % 166.52/166.34 [4799]~P96(x47991)+E(f329(f81(x47991),f80(x47991)),f329(f108(x47991),a102)) % 166.52/166.34 [4814]~P96(x48141)+P35(x48141,f329(f108(x48141),a85)) % 166.52/166.34 [4840]P42(x48401)+~P47(f329(f175(a1),x48401)) % 166.52/166.34 [4887]E(f329(f105(a1),f329(a109,x48871)),x48871)+P1(f329(a196,x48871)) % 166.52/166.34 [4957]~P119(x49571)+E(f250(x49571,f80(x49571),f83(x49571)),f249(x49571)) % 166.52/166.34 [4990]~P96(x49901)+~P35(x49901,f329(f108(x49901),a102)) % 166.52/166.34 [5138]E(f329(f77(a1),x51381),x51381)+P1(f329(f329(f240(a1),x51381),f2(a1))) % 166.52/166.34 [5156]~E(f329(a109,x51561),f2(a910))+P1(f329(f329(f239(a1),x51561),f2(a1))) % 166.52/166.34 [5224]~P1(f329(a196,x52241))+P1(f329(f329(f240(a1),x52241),f2(a1))) % 166.52/166.34 [5266]~P109(x52661)+P1(f329(f329(f331(x52661),f2(x52661)),f189(x52661))) % 166.52/166.34 [5267]~P120(x52671)+P1(f329(f329(f331(x52671),f2(x52671)),f114(x52671))) % 166.52/166.34 [5268]~P109(x52681)+P1(f329(f329(f331(x52681),f80(x52681)),f189(x52681))) % 166.52/166.34 [5269]~P120(x52691)+P1(f329(f329(f331(x52691),f80(x52691)),f114(x52691))) % 166.52/166.34 [5270]~P122(x52701)+P1(f329(f329(f239(x52701),f2(x52701)),f80(x52701))) % 166.52/166.34 [5271]~P122(x52711)+P1(f329(f329(f240(x52711),f2(x52711)),f80(x52711))) % 166.52/166.34 [5324]E(x53241,f2(a910))+~P1(f329(f329(f239(a910),x53241),f2(a910))) % 166.52/166.34 [5366]E(f329(a109,x53661),f2(a910))+~P1(f329(f329(f239(a1),x53661),f2(a1))) % 166.52/166.34 [5428]P1(f329(a196,x54281))+~P1(f329(f329(f240(a1),x54281),f2(a1))) % 166.52/166.34 [5435]~P112(x54351)+P21(x54351,f911(x54351),f151(x54351,x54351,f5(x54351))) % 166.52/166.34 [5453]P47(x54531)+~P1(f329(f329(f239(a1),f2(a1)),f336(x54531))) % 166.52/166.34 [5458]E(f329(f77(a1),x54581),f329(f81(a1),x54581))+~P1(f329(f329(f240(a1),x54581),f2(a1))) % 166.52/166.34 [5626]~P122(x56261)+~P1(f329(f329(f239(x56261),f80(x56261)),f2(x56261))) % 166.52/166.34 [5627]~P122(x56271)+~P1(f329(f329(f240(x56271),f80(x56271)),f2(x56271))) % 166.52/166.34 [5641]~E(x56411,f2(a910))+P1(f329(f329(f239(a1),f329(f105(a1),x56411)),f2(a1))) % 166.52/166.34 [5642]~E(x56421,f2(a1))+P1(f329(f329(f240(a1),f329(f77(a1),x56421)),f80(a1))) % 166.52/166.34 [5765]~P4(x57651)+E(f145(x57651,x57651,f82(x57651),f2(x57651)),f168(x57651)) % 166.52/166.34 [5940]~P106(x59401)+P30(a910,x59401,f105(x59401),f247(f918(a910,a905))) % 166.52/166.34 [6141]E(x61411,f2(a910))+~P1(f329(f329(f239(a1),f329(f105(a1),x61411)),f2(a1))) % 166.52/166.34 [6142]E(x61421,f2(a1))+~P1(f329(f329(f240(a1),f329(f77(a1),x61421)),f80(a1))) % 166.52/166.34 [6941]~P1(f329(f329(f240(a1),x69411),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x69411),x69411)),f2(a1))) % 166.52/166.34 [7497]P1(f329(f329(f240(a1),x74971),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74971),x74971)),f2(a1))) % 166.52/166.34 [8057]E(x80571,f329(a3,f2(a910)))+P1(f329(f329(f240(a910),f329(f329(f23(a910),f329(a20,x80571)),f329(a117,f2(a910)))),f329(a20,x80571))) % 166.52/166.34 [8836]~P1(f329(f329(f240(a1),x88361),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88361),x88361)),a102)),f2(a1))) % 166.52/166.34 [8925]~P1(f329(f329(f240(a1),x89251),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x89251)),x89251)),f2(a1))) % 166.52/166.34 [9250]P1(f329(f329(f240(a1),x92501),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92501),x92501)),a102)),f2(a1))) % 166.52/166.34 [9321]P1(f329(f329(f240(a1),x93211),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x93211)),x93211)),f2(a1))) % 166.52/166.34 [4788]~E(a85,x47881)+E(f329(f329(f82(a1),x47881),x47881),a85) % 166.52/166.34 [4789]~E(x47891,a85)+E(f329(f329(f82(a1),x47891),x47891),a85) % 166.52/166.34 [4800]E(x48001,f2(a1))+E(f329(f329(f37(a1),x48001),x48001),f80(a1)) % 166.52/166.34 [4934]E(x49341,a85)+~E(f329(f329(f82(a1),x49341),x49341),a85) % 166.52/166.34 [4935]E(a85,x49351)+~E(f329(f329(f82(a1),x49351),x49351),a85) % 166.52/166.34 [4947]~P10(x49471)+E(f39(x49471,f191(f918(x49471,a905))),f247(x49471)) % 166.52/166.34 [4948]~P10(x49481)+E(f39(x49481,f247(f918(x49481,a905))),f191(x49481)) % 166.52/166.34 [4949]~P10(x49491)+E(f38(x49491,f191(f918(x49491,a905))),f191(x49491)) % 166.52/166.34 [4950]~P10(x49501)+E(f38(x49501,f247(f918(x49501,a905))),f247(x49501)) % 166.52/166.34 [4951]~P112(x49511)+E(f142(x49511,f191(f918(x49511,a905))),f118(x49511)) % 166.52/166.34 [5094]E(x50941,f2(a910))+P1(f329(f329(f240(a910),f2(a910)),x50941)) % 166.52/166.34 [5113]~P11(x51131)+P1(f329(f329(f239(a1),f2(a1)),x51131)) % 166.52/166.34 [5147]~E(f329(f108(a910),x51471),f2(a910))+P1(f329(f329(f239(a1),x51471),a85)) % 166.52/166.34 [5152]P47(x51521)+P1(f329(f329(f331(a1),f336(x51521)),x51521)) % 166.52/166.34 [5153]E(x51531,f329(a3,f2(a910)))+P1(f329(f329(f239(a104),f80(a104)),x51531)) % 166.52/166.34 [5195]P1(f329(a196,x51951))+P1(f329(f329(f239(a1),f2(a1)),x51951)) % 166.52/166.34 [5248]E(f329(f105(a1),f329(a109,x52481)),f2(a1))+P1(f329(f329(f239(a1),f2(a1)),x52481)) % 166.52/166.34 [5306]E(f329(f105(a1),f329(f108(a910),x53061)),f329(f108(a1),x53061))+P1(f329(a196,f329(f108(a1),x53061))) % 166.52/166.34 [5330]E(f329(f108(a910),x53301),f2(a910))+~P1(f329(a196,f329(f108(a1),x53301))) % 166.52/166.34 [5331]E(f329(f108(a910),x53311),f2(a910))+~P1(f329(f329(f239(a1),x53311),a85)) % 166.52/166.34 [5363]P11(x53631)+~P1(f329(f329(f239(a1),f2(a1)),x53631)) % 166.52/166.34 [5438]E(f329(a117,f866(x54381)),x54381)+~P1(f329(f329(f240(a910),f2(a910)),x54381)) % 166.52/166.34 [5447]E(f329(a117,f329(f108(a910),x54471)),f80(a910))+~P1(f329(a196,f329(f108(a1),x54471))) % 166.52/166.34 [5454]E(f329(f105(a1),f353(x54541)),x54541)+~P1(f329(f329(f240(a1),f2(a1)),x54541)) % 166.52/166.34 [5461]~E(x54611,f329(a3,f2(a910)))+~P1(f329(f329(f239(a104),f80(a104)),x54611)) % 166.52/166.34 [5468]E(f329(f105(a1),f329(f108(a910),x54681)),f2(a1))+~P1(f329(a196,f329(f108(a1),x54681))) % 166.52/166.34 [5493]E(f329(f168(a910),x54931),f2(a910))+P1(f329(f329(f331(a910),f572(x54931)),f329(f175(a910),x54931))) % 166.52/166.34 [5513]E(f329(f105(a1),f329(a109,x55131)),x55131)+~P1(f329(f329(f239(a1),f2(a1)),x55131)) % 166.52/166.34 [5521]~P1(f329(a196,x55211))+~P1(f329(f329(f239(a1),f2(a1)),x55211)) % 166.52/166.34 [5619]E(f329(f329(f82(a910),f80(a910)),f329(f108(a910),x56191)),f80(a910))+~P1(f329(f329(f240(a1),x56191),a85)) % 166.52/166.34 [5683]E(x56831,f2(a910))+~P1(f329(f329(f240(a910),x56831),f329(a117,f2(a910)))) % 166.52/166.34 [5723]E(f329(f329(f82(a910),f329(f108(a910),x57231)),f80(a910)),f80(a910))+~P1(f329(f329(f240(a1),x57231),a85)) % 166.52/166.34 [5724]E(f329(f329(f23(a910),f329(f108(a910),x57241)),f80(a910)),f2(a910))+~P1(f329(f329(f239(a1),x57241),a85)) % 166.52/166.34 [5736]~P47(x57361)+E(f329(f36(a910),f329(f312(a1,a910,a109),x57361)),f329(f36(a1),x57361)) % 166.52/166.34 [5766]~P112(x57661)+E(f241(x57661,f329(f7(x57661,x57661,a905),f239(x57661))),f238(x57661)) % 166.52/166.34 [5767]~P112(x57671)+E(f242(x57671,f329(f7(x57671,x57671,a905),f239(x57671))),f237(x57671)) % 166.52/166.34 [5777]E(f46(a910,f329(a117,f2(a910)),f329(f108(a910),x57771)),f329(a117,f2(a910)))+~P1(f329(a196,f329(f108(a1),x57771))) % 166.52/166.34 [5786]~P1(f329(f329(f240(a1),f2(a1)),x57861))+P1(f329(f329(f239(a1),f80(a1)),x57861)) % 166.52/166.34 [5787]P1(f329(f329(f240(a1),f2(a1)),x57871))+~P1(f329(f329(f239(a1),f80(a1)),x57871)) % 166.52/166.34 [5798]E(f329(a117,f329(f329(f23(a910),x57981),f80(a910))),x57981)+~P1(f329(f329(f240(a910),f2(a910)),x57981)) % 166.52/166.34 [5854]P1(f329(f329(f240(a910),f2(a910)),f353(x58541)))+~P1(f329(f329(f240(a1),f2(a1)),x58541)) % 166.52/166.34 [5913]E(f46(a1,f329(f108(a1),a102),x59131),f329(f329(f23(a1),x59131),f80(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x59131)) % 166.52/166.34 [5953]~P1(f329(f329(f240(a1),a85),x59531))+P1(f329(f329(f240(a910),f2(a910)),f329(f108(a910),x59531))) % 166.52/166.34 [5958]E(f329(a20,f834(x59581)),x59581)+~P1(f329(f329(f331(a910),x59581),f247(f918(a910,a905)))) % 166.52/166.34 [6006]P1(f329(f329(f240(a910),f2(a910)),f329(a109,x60061)))+~P1(f329(f329(f240(a1),f2(a1)),x60061)) % 166.52/166.34 [6055]~P1(f329(f329(f240(a910),f2(a910)),x60551))+P1(f329(f329(f240(a1),f2(a1)),f329(f105(a1),x60551))) % 166.52/166.34 [6092]~P1(f329(f329(f240(a910),f2(a910)),f329(a109,x60921)))+P1(f329(f329(f240(a1),f2(a1)),x60921)) % 166.52/166.34 [6109]~P47(x61091)+E(f329(f312(a910,a1,f105(a1)),f329(f312(a1,a910,a109),x61091)),x61091) % 166.52/166.34 [6122]P1(f329(f329(f240(a1),a85),x61221))+~P1(f329(f329(f240(a910),f2(a910)),f329(f108(a910),x61221))) % 166.52/166.34 [6180]P1(f329(f329(f240(a910),f2(a910)),x61801))+~P1(f329(f329(f240(a1),f2(a1)),f329(f105(a1),x61801))) % 166.52/166.34 [6294]E(f329(f312(a910,a1,f105(a1)),f329(f285(a910),f329(a109,x62941))),f329(f304(a1,f2(a1)),x62941))+~P1(f329(f329(f239(a1),f2(a1)),x62941)) % 166.52/166.34 [6311]~P122(x63111)+P1(f329(f329(f240(x63111),f2(x63111)),f329(f329(f82(x63111),f80(x63111)),f80(x63111)))) % 166.52/166.34 [6360]P1(f329(f329(f240(a910),f329(a117,f2(a910))),f329(a109,x63601)))+~P1(f329(f329(f240(a1),f80(a1)),x63601)) % 166.52/166.34 [6457]E(x64571,f2(a1))+P1(f329(f50(f2(a1),x64571),f329(f329(f257(a1,a1),f2(a1)),f2(a1)))) % 166.52/166.34 [6628]~P1(f329(f329(f240(a910),f329(a117,f2(a910))),f329(a109,x66281)))+P1(f329(f329(f240(a1),f80(a1)),x66281)) % 166.52/166.34 [7052]~P110(x70521)+P43(x70521,f329(f267(f917(x70521,x70521)),f329(f262(x70521,x70521,a905),f240(x70521)))) % 166.52/166.34 [5670]E(f329(f108(a910),f329(f329(f23(a1),x56701),a102)),f329(a117,f329(f108(a910),x56701)))+P1(f329(a196,f329(f108(a1),x56701))) % 166.52/166.34 [5686]~P42(x56861)+E(f329(f329(f157(a910,a1),f105(a1)),f329(f329(f157(a1,a910),a109),x56861)),x56861) % 166.52/166.34 [5700]P33(a904,a845,x57001)+~P1(f329(f329(f331(f909(a904)),x57001),a920)) % 166.52/166.34 [5804]E(f329(f81(a1),f329(f105(a1),f329(a117,f448(x58041)))),x58041)+~P1(f329(f329(f240(a1),x58041),f2(a1))) % 166.52/166.34 [5814]E(f329(f329(f82(a910),f80(a910)),f329(f108(a910),x58141)),f329(f108(a910),f329(f329(f23(a1),x58141),a102)))+P1(f329(f329(f240(a1),x58141),a85)) % 166.52/166.34 [5856]E(f329(f329(f37(a1),f329(f108(a1),a102)),x58561),f329(f108(a1),a102))+~P1(f329(f329(f240(a1),f2(a1)),x58561)) % 166.52/166.34 [5949]E(f329(f329(f82(a910),f329(f108(a910),x59491)),f80(a910)),f329(f108(a910),f329(f329(f23(a1),x59491),a102)))+P1(f329(f329(f240(a1),x59491),a85)) % 166.52/166.34 [5950]E(f329(f329(f23(a910),f329(f108(a910),x59501)),f80(a910)),f329(f108(a910),f329(f329(f82(a1),x59501),a102)))+P1(f329(f329(f239(a1),x59501),a85)) % 166.52/166.34 [5993]E(f329(a109,f329(f329(f82(a1),f80(a1)),x59931)),f329(a117,f329(a109,x59931)))+~P1(f329(f329(f239(a1),f2(a1)),x59931)) % 166.52/166.34 [6027]E(f329(a117,f329(f329(f23(a910),x60271),f329(a117,f2(a910)))),x60271)+~P1(f329(f329(f240(a910),f2(a910)),x60271)) % 166.52/166.34 [6246]E(f46(a910,f329(a117,f2(a910)),f329(f108(a910),x62461)),f329(a109,f46(a1,f80(a1),f329(f108(a1),x62461))))+P1(f329(a196,f329(f108(a1),x62461))) % 166.52/166.34 [6287]~P1(f329(f329(f239(a1),a85),x62871))+P1(f329(f329(f239(a1),a85),f329(f329(f82(a1),x62871),x62871))) % 166.52/166.34 [6288]~P1(f329(f329(f240(a1),a102),x62881))+P1(f329(f329(f239(a1),a102),f329(f329(f82(a1),x62881),x62881))) % 166.52/166.34 [6289]~P1(f329(f329(f240(a1),a85),x62891))+P1(f329(f329(f240(a1),a85),f329(f329(f82(a1),x62891),x62891))) % 166.52/166.34 [6290]~P1(f329(f329(f240(a1),a102),x62901))+P1(f329(f329(f240(a1),a102),f329(f329(f82(a1),x62901),x62901))) % 166.52/166.34 [6470]~P1(f329(f62(x64701),f247(f918(x64701,a905))))+P1(f329(f62(f914(x64701)),f247(f918(f914(x64701),a905)))) % 166.52/166.34 [6559]~P1(f329(f329(f239(a1),f2(a1)),x65591))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f82(a1),f80(a1)),x65591))) % 166.52/166.34 [6566]E(f329(f256(a1,a1),f48(f80(a1),f329(f108(a1),x65661))),f329(f329(f37(a1),f80(a1)),f329(f108(a1),x65661)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x65661))) % 166.52/166.34 [6586]E(f329(f261(a1,a1),f48(f80(a1),f329(f108(a1),x65861))),f46(a1,f80(a1),f329(f108(a1),x65861)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x65861))) % 166.52/166.34 [6597]P1(f329(f62(x65971),f247(f918(x65971,a905))))+~P1(f329(f62(f914(x65971)),f247(f918(f914(x65971),a905)))) % 166.52/166.34 [6629]P1(f329(f329(f239(a1),a85),x66291))+~P1(f329(f329(f239(a1),a85),f329(f329(f82(a1),x66291),x66291))) % 166.52/166.34 [6630]P1(f329(f329(f240(a1),a85),x66301))+~P1(f329(f329(f240(a1),a85),f329(f329(f82(a1),x66301),x66301))) % 166.52/166.34 [6631]P1(f329(f329(f240(a1),a102),x66311))+~P1(f329(f329(f239(a1),a102),f329(f329(f82(a1),x66311),x66311))) % 166.52/166.34 [6632]P1(f329(f329(f240(a1),a102),x66321))+~P1(f329(f329(f240(a1),a102),f329(f329(f82(a1),x66321),x66321))) % 166.52/166.34 [6945]~P1(f329(f62(x69451),f247(f918(x69451,a905))))+P1(f329(f329(f240(a910),f2(a910)),f329(f36(x69451),f247(f918(x69451,a905))))) % 166.52/166.34 [7539]P1(f329(f62(a910),x75391))+~P1(f329(f62(a1),f329(f312(a910,a1,f105(a1)),x75391))) % 166.52/166.34 [5594]~E(a102,x55941)+E(f329(f329(f23(a1),f329(f329(f82(a1),x55941),x55941)),a102),a102) % 166.52/166.34 [5595]~E(x55951,a102)+E(f329(f329(f23(a1),f329(f329(f82(a1),x55951),x55951)),a102),a102) % 166.52/166.34 [6117]E(x61171,a102)+~E(f329(f329(f23(a1),f329(f329(f82(a1),x61171),x61171)),a102),a102) % 166.52/166.34 [6118]E(a102,x61181)+~E(f329(f329(f23(a1),f329(f329(f82(a1),x61181),x61181)),a102),a102) % 166.52/166.34 [6527]~E(f329(f108(a910),x65271),f2(a910))+P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x65271),a102)))) % 166.52/166.34 [6875]~P1(f329(a196,f329(f108(a1),x68751)))+P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x68751),x68751)))) % 166.52/166.34 [6876]~P1(f329(f329(f239(a1),x68761),a85))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x68761),x68761)),a85)) % 166.52/166.34 [6877]~P1(f329(f329(f239(a1),x68771),a102))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x68771),x68771)),a102)) % 166.52/166.34 [6878]~P1(f329(f329(f240(a1),x68781),a85))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x68781),x68781)),a85)) % 166.52/166.34 [6879]~P1(f329(f329(f239(a1),x68791),a102))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x68791),x68791)),a102)) % 166.52/166.34 [7196]E(f329(f108(a910),x71961),f2(a910))+~P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x71961),a102)))) % 166.52/166.34 [7451]~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x74511)))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),f329(f329(f82(a1),x74511),x74511)))) % 166.52/166.34 [7452]P1(f329(a196,f329(f108(a1),x74521)))+~P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x74521),x74521)))) % 166.52/166.34 [7453]P1(f329(f329(f239(a1),x74531),a85))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x74531),x74531)),a85)) % 166.52/166.34 [7454]P1(f329(f329(f239(a1),x74541),a102))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x74541),x74541)),a102)) % 166.52/166.34 [7455]P1(f329(f329(f239(a1),x74551),a102))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74551),x74551)),a102)) % 166.52/166.34 [7456]P1(f329(f329(f240(a1),x74561),a85))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74561),x74561)),a85)) % 166.52/166.34 [7820]E(f329(a112,f570(x78201)),x78201)+~P1(f329(f329(f331(f918(f917(a910,a910),a905)),x78201),a103)) % 166.52/166.34 [6443]~P96(x64431)+E(f329(f108(x64431),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(x64431)) % 166.52/166.34 [6925]~P1(f329(a196,f329(f108(a1),x69251)))+E(f329(f108(a910),f329(f329(f23(a1),f329(f329(f82(a1),x69251),x69251)),a102)),f2(a910)) % 166.52/166.34 [8002]~P1(f329(f329(f240(a1),f329(f108(a1),x80021)),f2(a1)))+E(f329(f256(a1,a1),f329(a52,f51(f329(f81(a1),f80(a1)),f329(f81(a1),f329(f108(a1),x80021))))),f329(f329(f37(a1),f80(a1)),f329(f108(a1),x80021))) % 166.52/166.34 [8015]~P1(f329(f329(f240(a1),f329(f108(a1),x80151)),f2(a1)))+E(f329(f261(a1,a1),f329(a52,f51(f329(f81(a1),f80(a1)),f329(f81(a1),f329(f108(a1),x80151))))),f46(a1,f80(a1),f329(f108(a1),x80151))) % 166.52/166.34 [8065]~P1(f329(f329(f239(a1),a85),x80651))+P1(f329(f329(f239(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x80651),x80651)),a102))) % 166.52/166.34 [8066]~P1(f329(f329(f239(a1),a102),x80661))+P1(f329(f329(f239(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x80661),x80661)),a102))) % 166.52/166.34 [8067]~P1(f329(f329(f239(a1),a85),x80671))+P1(f329(f329(f240(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x80671),x80671)),a102))) % 166.52/166.34 [8068]~P1(f329(f329(f240(a1),a102),x80681))+P1(f329(f329(f240(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x80681),x80681)),a102))) % 166.52/166.34 [8374]~P96(x83741)+~P35(x83741,f329(f108(x83741),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))) % 166.52/166.34 [8559]P1(f329(f329(f239(a1),a85),x85591))+~P1(f329(f329(f239(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x85591),x85591)),a102))) % 166.52/166.34 [8560]P1(f329(f329(f239(a1),a85),x85601))+~P1(f329(f329(f240(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x85601),x85601)),a102))) % 166.52/166.34 [8561]P1(f329(f329(f239(a1),a102),x85611))+~P1(f329(f329(f239(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x85611),x85611)),a102))) % 166.52/166.34 [8562]P1(f329(f329(f240(a1),a102),x85621))+~P1(f329(f329(f240(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x85621),x85621)),a102))) % 166.52/166.34 [8879]E(f329(f108(a910),f329(f329(f23(a1),f329(f329(f82(a1),x88791),x88791)),a102)),f329(f329(f88(a910,a910),f329(f108(a910),x88791)),f329(f329(f8(a910,a910,a910),a117),f329(f329(f18(a910,a910,a910),f82(a910)),f5(a910)))))+P1(f329(a196,f329(f108(a1),x88791))) % 166.52/166.34 [9742]E(x97421,f191(f918(f917(a910,a910),a905)))+P1(f329(f329(f331(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),x97421),f191(f918(f917(a910,a910),a905)))),a70)) % 166.52/166.34 [8810]~P1(f329(a196,f329(f108(a1),x88101)))+P1(f329(a196,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88101),x88101)),a102)))) % 166.52/166.34 [8811]~P1(f329(f329(f240(a1),x88111),a85))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88111),x88111)),a102)),a85)) % 166.52/166.34 [8812]~P1(f329(f329(f239(a1),x88121),a102))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88121),x88121)),a102)),a102)) % 166.52/166.34 [8813]~P1(f329(f329(f240(a1),x88131),a85))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88131),x88131)),a102)),a85)) % 166.52/166.34 [8814]~P1(f329(f329(f240(a1),x88141),a102))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88141),x88141)),a102)),a102)) % 166.52/166.34 [8918]~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x89181)))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x89181),x89181)),a102)))) % 166.52/166.34 [9078]~P96(x90781)+E(f329(f329(f82(x90781),f80(x90781)),f80(x90781)),f329(f108(x90781),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)))) % 166.52/166.34 [9234]P1(f329(a196,f329(f108(a1),x92341)))+~P1(f329(a196,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92341),x92341)),a102)))) % 166.52/166.34 [9235]P1(f329(f329(f239(a1),x92351),a102))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92351),x92351)),a102)),a102)) % 166.52/166.34 [9236]P1(f329(f329(f240(a1),x92361),a85))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92361),x92361)),a102)),a85)) % 166.52/166.34 [9237]P1(f329(f329(f240(a1),x92371),a85))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92371),x92371)),a102)),a85)) % 166.52/166.34 [9238]P1(f329(f329(f240(a1),x92381),a102))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92381),x92381)),a102)),a102)) % 166.52/166.34 [9787]~P1(f329(f62(f917(a910,a910)),x97871))+P1(f329(f329(f331(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),f191(f918(f917(a910,a910),a905))),x97871)),a71)) % 166.52/166.34 [9569]~P109(x95691)+E(f329(f329(f249(x95691),f2(x95691)),f329(f108(a910),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(x95691)) % 166.52/166.34 [9570]~P109(x95701)+E(f329(f329(f249(x95701),f80(x95701)),f329(f108(a910),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(x95701)) % 166.52/166.34 [10009]~P1(f329(f329(f240(a910),f80(a910)),x100091))+P1(f329(f329(f240(a910),f2(a910)),f329(f329(f37(a910),x100091),f329(f108(a910),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)))))) % 166.52/166.34 [10015]~P1(f329(f329(f240(a910),f2(a910)),x100151))+P1(f329(f329(f240(a910),f2(a910)),f329(f329(f37(a910),f329(f329(f82(a910),x100151),f80(a910))),f329(f108(a910),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)))))) % 166.52/166.34 [10055]~E(f46(a910,x100551,f329(f108(a910),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(a910))+P1(f329(f329(f240(a910),f2(a910)),f46(a910,x100551,f329(f108(a910),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)))))) % 166.52/166.34 [10074]E(f46(a910,x100741,f329(f108(a910),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(a910))+~P1(f329(f329(f240(a910),f2(a910)),f46(a910,x100741,f329(f108(a910),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)))))) % 166.52/166.34 [4715]~P12(x47151,x47152)+P56(x47151,x47152) % 166.52/166.34 [4716]~P43(x47161,x47162)+P65(x47161,x47162) % 166.52/166.34 [4717]~P51(x47171,x47172)+P65(x47171,x47172) % 166.52/166.34 [4719]~P12(x47191,x47192)+P57(x47191,x47192) % 166.52/166.34 [4721]~P20(x47211,x47212)+P57(x47211,x47212) % 166.52/166.34 [4723]~P12(x47231,x47232)+P58(x47231,x47232) % 166.52/166.34 [4725]~P20(x47251,x47252)+P58(x47251,x47252) % 166.52/166.34 [4726]~P12(x47261,x47262)+P20(x47261,x47262) % 166.52/166.34 [4676]~E(x46761,x46762)+E(f274(x46761,x46762),f80(a104)) % 166.52/166.34 [4679]E(f220(x46791,x46792),x46791)+~E(x46792,f2(a910)) % 166.52/166.34 [4686]~E(x46862,f118(x46861))+E(f155(x46861,x46862),f118(x46861)) % 166.52/166.34 [4705]~E(f155(x47052,x47051),f118(x47052))+E(x47051,f118(x47052)) % 166.52/166.34 [4730]~P2(x47302)+P2(f918(x47301,x47302)) % 166.52/166.34 [4731]~P2(x47312)+P103(f918(x47311,x47312)) % 166.52/166.34 [4732]~P100(x47322)+P3(f918(x47321,x47322)) % 166.52/166.34 [4733]~P105(x47332)+P105(f918(x47331,x47332)) % 166.52/166.34 [4734]~P111(x47342)+P111(f918(x47341,x47342)) % 166.52/166.34 [4735]~P113(x47352)+P113(f918(x47351,x47352)) % 166.52/166.34 [4736]~P114(x47362)+P114(f918(x47361,x47362)) % 166.52/166.34 [4737]~P81(x47372)+P81(f918(x47371,x47372)) % 166.52/166.34 [4738]~P2(x47382)+P104(f918(x47381,x47382)) % 166.52/166.34 [4739]~P101(x47392)+P101(f918(x47391,x47392)) % 166.52/166.34 [4740]~P10(x47402)+P10(f918(x47401,x47402)) % 166.52/166.34 [4741]~P115(x47412)+P115(f918(x47411,x47412)) % 166.52/166.34 [4742]~P100(x47422)+P102(f918(x47421,x47422)) % 166.52/166.34 [4743]~P98(x47432)+P98(f918(x47431,x47432)) % 166.52/166.34 [4744]~P92(x47442)+P92(f918(x47441,x47442)) % 166.52/166.34 [4745]~P100(x47452)+P100(f918(x47451,x47452)) % 166.52/166.34 [4757]E(x47571,x47572)+~E(f329(a26,x47571),f329(a26,x47572)) % 166.52/166.34 [4759]E(x47591,x47592)+~E(f329(a117,x47591),f329(a117,x47592)) % 166.52/166.34 [4760]E(x47601,x47602)+~E(f329(a112,x47601),f329(a112,x47602)) % 166.52/166.34 [4761]E(x47611,x47612)+~E(f329(a3,x47611),f329(a3,x47612)) % 166.52/166.34 [4763]E(x47631,x47632)+~E(f329(a20,x47631),f329(a20,x47632)) % 166.52/166.34 [4816]P45(x48161,x48162)+~E(f728(x48162,x48161),f729(x48162,x48161)) % 166.52/166.34 [4846]~P65(x48461,x48462)+P45(x48461,f309(x48461,x48462)) % 166.52/166.34 [4847]~P59(x48471,x48472)+P59(x48471,f309(x48471,x48472)) % 166.52/166.34 [4860]~P68(x48601)+E(f46(x48601,x48602,x48602),f2(x48601)) % 166.52/166.34 [4894]~P43(x48941,x48942)+P43(f911(x48941),f149(x48941,x48942)) % 166.52/166.34 [4895]~P43(x48951,x48952)+P43(f911(x48951),f148(x48951,x48952)) % 166.52/166.34 [4896]~P44(x48961,x48962)+P44(f911(x48961),f150(x48961,x48962)) % 166.52/166.34 [4897]~P44(x48971,x48972)+P44(f911(x48971),f161(x48971,x48972)) % 166.52/166.34 [4898]~P59(x48981,x48982)+P59(f911(x48981),f161(x48981,x48982)) % 166.52/166.34 [4995]~P43(x49951,x49952)+P43(f918(x49951,a905),f322(x49951,x49952)) % 166.52/166.34 [4996]~P43(x49961,x49962)+P43(f918(x49961,a905),f320(x49961,x49962)) % 166.52/166.34 [5122]~P11(x51221)+P47(f305(a1,x51221,x51222)) % 166.52/166.34 [5227]~P43(x52271,x52272)+P67(x52271,f68(x52271,x52271,x52272)) % 166.52/166.34 [5730]~P86(x57301)+P30(x57301,x57301,f81(x57301),x57302) % 166.52/166.34 [4700]~E(x47002,f118(x47001))+E(f329(f170(x47001),x47002),f118(x47001)) % 166.52/166.34 [4701]~E(x47012,f118(x47011))+E(f329(f171(x47011),x47012),f118(x47011)) % 166.52/166.34 [4765]E(x47651,f329(a109,x47652))+~E(f329(f105(a1),x47651),x47652) % 166.52/166.34 [4768]E(x47681,f118(x47682))+~E(f329(f170(x47682),x47681),f118(x47682)) % 166.52/166.34 [4769]E(x47691,f118(x47692))+~E(f329(f171(x47692),x47691),f118(x47692)) % 166.52/166.34 [4785]~P96(x47851)+E(f329(f108(x47851),x47852),f329(f107(x47851),x47852)) % 166.52/166.34 [4793]~P9(x47931)+P1(f329(f62(x47931),x47932)) % 166.52/166.34 [4801]~E(f689(x48012,x48011),f118(x48011))+E(f182(x48011,x48012),f118(f911(x48011))) % 166.52/166.34 [4810]~E(x48102,f118(x48101))+E(f329(f175(x48101),x48102),f191(f918(x48101,a905))) % 166.52/166.34 [4811]~E(x48112,f118(x48111))+E(f191(f918(x48111,a905)),f329(f175(x48111),x48112)) % 166.52/166.34 [4813]E(x48131,x48132)+~E(f329(f105(a1),x48131),f329(f105(a1),x48132)) % 166.52/166.34 [4817]E(f218(x48171,x48172),f2(a910))+P1(f329(f62(x48171),x48172)) % 166.52/166.34 [4835]~P123(x48351)+E(f84(x48351,f84(x48351,x48352)),f84(x48351,x48352)) % 166.52/166.34 [4849]~P116(x48491)+E(f329(f329(f249(x48491),x48492),f80(a910)),x48492) % 166.52/166.34 [4850]~P88(x48501)+E(f329(f329(f249(x48501),x48502),f80(a910)),x48502) % 166.52/166.34 [4851]~P59(x48511,x48512)+E(f329(f289(x48511,x48511),x48512),x48512) % 166.52/166.34 [4855]E(x48551,x48552)+E(f274(x48551,x48552),f329(f329(f82(a104),x48552),f80(a104))) % 166.52/166.34 [4858]E(f329(f36(x48581),x48582),f2(a910))+P1(f329(f62(x48581),x48582)) % 166.52/166.34 [4861]~E(f155(x48611,x48612),x48612)+P1(f329(f140(x48611),x48612)) % 166.52/166.34 [4864]~P3(x48641)+E(f329(f329(f115(x48641),x48642),f191(x48641)),x48642) % 166.52/166.34 [4865]~P4(x48651)+E(f329(f329(f82(x48651),x48652),f2(x48651)),x48652) % 166.52/166.34 [4866]~P116(x48661)+E(f329(f329(f82(x48661),x48662),f2(x48661)),x48662) % 166.52/166.34 [4867]~P5(x48671)+E(f329(f329(f82(x48671),x48672),f2(x48671)),x48672) % 166.52/166.34 [4868]~P79(x48681)+E(f329(f329(f23(x48681),x48682),f2(x48681)),x48682) % 166.52/166.34 [4869]~P102(x48691)+E(f329(f329(f106(x48691),x48692),f247(x48691)),x48692) % 166.52/166.34 [4870]~P116(x48701)+E(f329(f329(f83(x48701),x48702),f80(x48701)),x48702) % 166.52/166.34 [4871]~P80(x48711)+E(f329(f329(f83(x48711),x48712),f80(x48711)),x48712) % 166.52/166.34 [4872]~P88(x48721)+E(f329(f329(f83(x48721),x48722),f80(x48721)),x48722) % 166.52/166.34 [4873]~P68(x48731)+E(f329(f329(f37(x48731),x48732),f80(x48731)),x48732) % 166.52/166.34 [4874]~P126(x48741)+E(f329(f329(f292(x48741),x48742),f80(x48741)),x48742) % 166.52/166.34 [4875]~P116(x48751)+E(f329(f329(f249(x48751),x48752),f2(a910)),f80(x48751)) % 166.52/166.34 [4876]~P119(x48761)+E(f329(f329(f249(x48761),x48762),f2(a910)),f80(x48761)) % 166.52/166.34 [4877]~E(x48772,f191(f918(x48771,a905)))+E(f329(f36(x48771),x48772),f2(a910)) % 166.52/166.34 [4888]~P68(x48881)+E(f46(x48881,x48882,f2(x48881)),x48882) % 166.52/166.34 [4899]~P102(x48991)+E(f329(f329(f115(x48991),x48992),f247(x48991)),f247(x48991)) % 166.52/166.34 [4900]~P3(x49001)+E(f329(f329(f106(x49001),x49002),f191(x49001)),f191(x49001)) % 166.52/166.34 [4901]~P116(x49011)+E(f329(f329(f83(x49011),x49012),f2(x49011)),f2(x49011)) % 166.52/166.34 [4902]~P132(x49021)+E(f329(f329(f83(x49021),x49022),f2(x49021)),f2(x49021)) % 166.52/166.34 [4903]~P68(x49031)+E(f329(f329(f37(x49031),x49032),f2(x49031)),f2(x49031)) % 166.52/166.34 [4904]~P127(x49041)+E(f329(f329(f292(x49041),x49042),f2(x49041)),f2(x49041)) % 166.52/166.34 [4906]~P68(x49061)+E(f46(x49061,x49062,f80(x49061)),f2(x49061)) % 166.52/166.34 [4907]~P68(x49071)+E(f46(x49071,f2(x49071),x49072),f2(x49071)) % 166.52/166.34 [4936]E(x49361,f2(a910))+E(f56(x49362,x49361,f118(x49362)),f118(f911(x49362))) % 166.52/166.34 [4959]P59(x49591,x49592)+~E(f329(f289(x49591,x49591),x49592),x49592) % 166.52/166.34 [4960]P43(x49601,x49602)+~E(f573(x49602,x49601),f191(f918(x49601,a905))) % 166.52/166.34 [4961]E(x49611,f118(x49612))+~E(f329(f175(x49612),x49611),f191(f918(x49612,a905))) % 166.52/166.34 [4962]E(x49621,f118(x49622))+~E(f191(f918(x49622,a905)),f329(f175(x49622),x49621)) % 166.52/166.34 [4965]~E(x49651,x49652)+P1(f329(f329(a326,x49651),x49652)) % 166.52/166.34 [4975]P1(x49751)+P1(f329(f329(a332,x49751),x49752)) % 166.52/166.34 [4976]E(x49761,f118(x49762))+E(f329(f329(f167(x49762),x49761),f2(a910)),f329(f144(x49762),x49761)) % 166.52/166.34 [4979]E(f155(x49791,x49792),x49792)+~P1(f329(f140(x49791),x49792)) % 166.52/166.34 [4986]~P1(x49862)+P1(f329(f329(a328,x49861),x49862)) % 166.52/166.34 [4987]~P1(x49871)+P1(f329(f329(a328,x49871),x49872)) % 166.52/166.34 [4988]~P1(x49882)+P1(f329(f329(a332,x49881),x49882)) % 166.52/166.34 [4998]~E(f690(x49982,x49981),f694(x49982,x49981))+P1(f329(f140(x49981),x49982)) % 166.52/166.34 [5005]E(f329(f267(x50051),x50052),f191(f918(x50051,a905)))+P1(f329(x50052,f335(x50052))) % 166.52/166.34 [5006]E(f191(f918(x50061,a905)),f329(f267(x50061),x50062))+P1(f329(x50062,f403(x50062))) % 166.52/166.34 [5076]~P123(x50761)+E(f329(f329(f83(x50761),x50762),f84(x50761,x50762)),f329(f77(x50761),x50762)) % 166.52/166.34 [5087]~E(x50871,f2(a1))+E(f47(x50871,x50872),f329(f329(f257(a1,a1),f2(a1)),f2(a1))) % 166.52/166.34 [5118]~P65(x51181,x51182)+P65(x51181,f329(f289(x51181,x51181),x51182)) % 166.52/166.34 [5119]~P44(x51191,x51192)+P44(x51191,f329(f289(x51191,x51191),x51192)) % 166.52/166.34 [5120]~P45(x51201,x51202)+P45(x51201,f329(f289(x51201,x51201),x51202)) % 166.52/166.34 [5121]~P59(x51211,x51212)+P59(x51211,f329(f289(x51211,x51211),x51212)) % 166.52/166.34 [5143]E(x51431,x51432)+~P1(f329(f329(a326,x51431),x51432)) % 166.52/166.34 [5154]P1(x51541)+~P1(f329(f329(a327,x51542),x51541)) % 166.52/166.34 [5155]P1(x51551)+~P1(f329(f329(a327,x51551),x51552)) % 166.52/166.34 [5160]~P115(x51601)+P1(f329(f329(f239(x51601),x51602),f247(x51601))) % 166.52/166.34 [5164]E(x51641,x51642)+~E(f329(x51641,f404(x51642,x51641)),f329(x51642,f404(x51642,x51641))) % 166.52/166.34 [5197]E(x51971,f2(a910))+E(f220(x51971,f46(a910,x51972,x51971)),f220(x51972,x51971)) % 166.52/166.34 [5202]~P112(x52021)+P18(x52021,f329(f329(f154(x52021),x52022),f118(x52021))) % 166.52/166.34 [5206]E(x52061,f2(a1))+P1(f329(f50(x52062,x52061),f47(x52062,x52061))) % 166.52/166.34 [5222]~P20(x52222,x52221)+P1(f329(f329(x52221,f826(x52221)),f826(x52221))) % 166.52/166.34 [5225]~E(x52251,x52252)+P1(f329(f329(f240(a910),x52251),f329(a117,x52252))) % 166.52/166.34 [5235]~E(x52351,f2(a910))+P1(f329(f329(f240(a910),x52351),f329(a117,x52352))) % 166.52/166.34 [5247]P1(f329(x52471,x52472))+P1(f329(f329(f239(a1),f2(a1)),f338(x52471))) % 166.52/166.34 [5311]P65(x53111,x53112)+~P65(x53111,f329(f289(x53111,x53111),x53112)) % 166.52/166.34 [5312]P44(x53121,x53122)+~P44(x53121,f329(f289(x53121,x53121),x53122)) % 166.52/166.34 [5313]P45(x53131,x53132)+~P45(x53131,f329(f289(x53131,x53131),x53132)) % 166.52/166.34 [5314]P59(x53141,x53142)+~P59(x53141,f329(f289(x53141,x53141),x53142)) % 166.52/166.34 [5317]~E(f46(a910,x53172,x53171),f2(a910))+E(f329(f329(f83(a910),x53171),f446(x53171,x53172)),x53172) % 166.52/166.34 [5318]~E(f46(a1,x53182,x53181),f2(a1))+E(f329(f329(f83(a1),x53181),f447(x53181,x53182)),x53182) % 166.52/166.34 [5344]~P1(f329(x53441,x53442))+P1(f329(f329(f239(a1),f2(a1)),f337(x53441))) % 166.52/166.34 [5355]E(f329(f329(f23(a910),f329(a109,x53551)),f329(a109,x53552)),f329(a109,x53551))+~P1(f329(a196,x53552)) % 166.52/166.34 [5384]E(f275(x53841,x53842),f80(a104))+~P1(f329(f329(f239(a104),x53841),f80(a104))) % 166.52/166.34 [5479]E(f329(f329(f167(x54791),x54792),f690(x54792,x54791)),f329(f329(f167(x54791),x54792),f694(x54792,x54791)))+P1(f329(f140(x54791),x54792)) % 166.52/166.34 [5522]~P1(f329(x55221,f92(x55222,x55221)))+P1(f329(x55221,f574(x55222,x55221))) % 166.52/166.34 [5584]P67(x55841,x55842)+~P1(f329(f317(x55841,x55842),f549(x55842,x55841))) % 166.52/166.34 [5727]~P20(x57272,x57271)+P1(f329(f329(x57271,f827(x57271,x57272)),f827(x57271,x57272))) % 166.52/166.34 [5728]~P20(x57282,x57281)+P1(f329(f329(x57281,f830(x57281,x57282)),f830(x57281,x57282))) % 166.52/166.34 [5737]~E(f329(a117,f46(a910,x57371,x57372)),x57372)+E(f46(a910,f329(a117,x57371),x57372),f2(a910)) % 166.52/166.34 [5793]P43(x57931,x57932)+P1(f329(f329(f331(x57931),f609(x57932,x57931)),f610(x57932,x57931))) % 166.52/166.34 [5800]~P109(x58001)+P1(f329(f329(f331(x58001),f329(f105(x58001),x58002)),f189(x58001))) % 166.52/166.34 [5801]~P120(x58011)+P1(f329(f329(f331(x58011),f329(f105(x58011),x58012)),f114(x58011))) % 166.52/166.34 [5802]~P120(x58021)+P1(f329(f329(f331(x58021),f329(f107(x58021),x58022)),f114(x58021))) % 166.52/166.34 [5803]~P96(x58031)+P1(f329(f329(f331(x58031),f329(f108(x58031),x58032)),f114(x58031))) % 166.52/166.34 [5935]~P44(x59351,x59352)+E(f329(f329(f291(x59351,x59351,x59351),x59352),f309(x59351,x59352)),x59352) % 166.52/166.34 [5952]E(f329(a117,f46(a910,x59521,x59522)),x59522)+E(f46(a910,f329(a117,x59521),x59522),f329(a117,f46(a910,x59521,x59522))) % 166.52/166.34 [6372]P43(x63721,x63722)+~P1(f329(f329(f331(x63721),f534(x63722,x63721)),f318(x63721,x63722))) % 166.52/166.34 [6409]~P122(x64091)+~P1(f329(f329(f240(x64091),f329(f105(x64091),x64092)),f2(x64091))) % 166.52/166.34 [6410]~P89(x64101)+~P1(f329(f329(f240(x64101),f329(f77(x64101),x64102)),f2(x64101))) % 166.52/166.34 [6499]P1(f329(f329(f240(a1),x64991),f46(a1,x64992,x64991)))+~P1(f329(f329(f240(a1),x64991),f2(a1))) % 166.52/166.34 [6599]E(f329(f329(f311(a910),f329(a117,x65991)),f305(a910,x65992,x65991)),f305(a910,x65992,f329(a117,x65991)))+~P1(f329(f329(f239(a910),x65992),f329(a117,x65991))) % 166.52/166.34 [6690]~P112(x66901)+P18(x66901,f153(x66901,x66901,f5(x66901),x66902)) % 166.52/166.34 [6820]E(f329(f170(x68201),x68202),x68202)+~P1(f329(f329(f239(a910),f329(f192(f911(x68201)),x68202)),f80(a910))) % 166.52/166.34 [6839]~P89(x68391)+P1(f329(f329(f239(x68391),f329(f81(x68391),f329(f77(x68391),x68392))),f2(x68391))) % 166.52/166.34 [6871]~P43(x68711,x68712)+P43(x68711,f329(f329(f291(x68711,x68711,x68711),x68712),f309(x68711,x68712))) % 166.52/166.34 [6872]~P59(x68721,x68722)+P59(x68721,f329(f329(f291(x68721,x68721,x68721),x68722),f309(x68721,x68722))) % 166.52/166.34 [7091]~P1(f329(f329(f240(a1),x70912),f2(a1)))+P1(f329(f329(f239(a1),f46(a1,x70911,x70912)),f2(a1))) % 166.52/166.34 [7494]~P109(x74941)+E(f193(x74941,f329(f329(f7(x74941,x74941,x74941),f82(x74941)),f80(x74941)),x74942,f2(x74941)),f329(f105(x74941),x74942)) % 166.52/166.34 [7525]~P129(x75251)+~P1(f329(f329(f240(x75251),f329(f329(f83(x75251),x75252),x75252)),f2(x75251))) % 166.52/166.34 [10160]~P123(x101601)+~P1(f329(f329(f240(x101601),f329(f329(f249(x101601),x101602),f329(f108(a910),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(x101601))) % 166.52/166.34 [4766]~E(x47662,f118(x47661))+E(f329(f192(f911(x47661)),x47662),f2(a910)) % 166.52/166.34 [4802]~E(x48021,f2(a910))+E(f329(f329(f82(a910),x48021),x48022),x48022) % 166.52/166.34 [4803]~E(x48032,f2(a910))+E(f329(f329(f83(a910),x48031),x48032),f2(a910)) % 166.52/166.34 [4805]~E(x48051,f2(a910))+E(f329(f329(f83(a910),x48051),x48052),f2(a910)) % 166.52/166.34 [4806]~E(x48062,f2(a910))+E(f329(f329(f249(a910),x48061),x48062),f80(a910)) % 166.52/166.34 [4807]~E(x48072,f2(a1))+E(f329(f329(f37(a1),x48071),x48072),f2(a1)) % 166.52/166.34 [4818]E(x48181,f118(x48182))+~E(f329(f192(f911(x48182)),x48181),f2(a910)) % 166.52/166.34 [4819]~P2(x48191)+E(f329(f329(f115(x48191),x48192),x48192),x48192) % 166.52/166.34 [4821]~P103(x48211)+E(f329(f329(f115(x48211),x48212),x48212),x48212) % 166.52/166.34 [4822]~P2(x48221)+E(f329(f329(f106(x48221),x48222),x48222),x48222) % 166.52/166.34 [4824]~P104(x48241)+E(f329(f329(f106(x48241),x48242),x48242),x48242) % 166.52/166.34 [4826]~P99(x48261)+E(f329(f329(f83(x48261),x48262),x48262),x48262) % 166.52/166.34 [4828]~P112(x48281)+E(f329(f329(f237(x48281),x48282),x48282),x48282) % 166.52/166.34 [4830]~P112(x48301)+E(f329(f329(f238(x48301),x48302),x48302),x48302) % 166.52/166.34 [4848]~P79(x48481)+E(f329(f329(f23(x48481),x48482),x48482),f2(x48481)) % 166.52/166.34 [4862]~P79(x48621)+E(f329(f81(x48621),f329(f81(x48621),x48622)),x48622) % 166.52/166.34 [4863]~P98(x48631)+E(f329(f81(x48631),f329(f81(x48631),x48632)),x48632) % 166.52/166.34 [4880]~E(x48802,f2(a910))+E(f329(f329(f249(a910),x48801),x48802),f329(a117,f2(a910))) % 166.52/166.34 [4915]~P3(x49151)+E(f329(f329(f115(x49151),f191(x49151)),x49152),x49152) % 166.52/166.34 [4916]~P4(x49161)+E(f329(f329(f82(x49161),f2(x49161)),x49162),x49162) % 166.52/166.34 [4917]~P116(x49171)+E(f329(f329(f82(x49171),f2(x49171)),x49172),x49172) % 166.52/166.34 [4918]~P5(x49181)+E(f329(f329(f82(x49181),f2(x49181)),x49182),x49182) % 166.52/166.34 [4919]~P102(x49191)+E(f329(f329(f106(x49191),f247(x49191)),x49192),x49192) % 166.52/166.34 [4920]~P116(x49201)+E(f329(f329(f83(x49201),f80(x49201)),x49202),x49202) % 166.52/166.34 [4921]~P80(x49211)+E(f329(f329(f83(x49211),f80(x49211)),x49212),x49212) % 166.52/166.34 [4922]~P88(x49221)+E(f329(f329(f83(x49221),f80(x49221)),x49222),x49222) % 166.52/166.34 [4940]~P102(x49401)+E(f329(f329(f115(x49401),f247(x49401)),x49402),f247(x49401)) % 166.52/166.34 [4941]~P3(x49411)+E(f329(f329(f106(x49411),f191(x49411)),x49412),f191(x49411)) % 166.52/166.34 [4942]~P116(x49421)+E(f329(f329(f83(x49421),f2(x49421)),x49422),f2(x49421)) % 166.52/166.34 [4943]~P132(x49431)+E(f329(f329(f83(x49431),f2(x49431)),x49432),f2(x49431)) % 166.52/166.34 [4944]~P88(x49441)+E(f329(f329(f249(x49441),f80(x49441)),x49442),f80(x49441)) % 166.52/166.34 [4945]~P68(x49451)+E(f329(f329(f37(x49451),f2(x49451)),x49452),f2(x49451)) % 166.52/166.34 [4946]~P126(x49461)+E(f329(f329(f292(x49461),f2(x49461)),x49462),f2(x49461)) % 166.52/166.34 [4954]E(x49541,f118(x49542))+E(f147(x49542,f329(f171(x49542),x49541)),f329(f144(x49542),x49541)) % 166.52/166.34 [4955]E(x49551,f118(x49552))+E(f329(f144(x49552),f329(f171(x49552),x49551)),f147(x49552,x49551)) % 166.52/166.34 [4956]E(x49561,f2(a910))+~E(f329(f329(f82(a910),x49562),x49561),x49562) % 166.52/166.34 [4963]~P120(x49631)+E(f329(f107(x49631),f329(f105(a1),x49632)),f329(f105(x49631),x49632)) % 166.52/166.34 [4964]~P96(x49641)+E(f329(f107(x49641),f329(f108(a1),x49642)),f329(f108(x49641),x49642)) % 166.52/166.34 [4971]E(x49711,f2(a910))+~E(f329(f329(f82(a910),x49712),x49711),f2(a910)) % 166.52/166.34 [4972]E(x49721,f2(a910))+~E(f329(f329(f82(a910),x49721),x49722),f2(a910)) % 166.52/166.34 [4973]E(x49731,f80(a910))+~E(f329(f329(f83(a910),x49732),x49731),f80(a910)) % 166.52/166.34 [4974]E(x49741,f80(a910))+~E(f329(f329(f83(a910),x49741),x49742),f80(a910)) % 166.52/166.34 [4991]~P123(x49911)+E(f329(f77(x49911),f329(f105(x49911),x49912)),f329(f105(x49911),x49912)) % 166.52/166.34 [4992]~P89(x49921)+E(f329(f77(x49921),f329(f77(x49921),x49922)),f329(f77(x49921),x49922)) % 166.52/166.34 [4993]~P89(x49931)+E(f329(f77(x49931),f329(f81(x49931),x49932)),f329(f77(x49931),x49932)) % 166.52/166.34 [4994]~P5(x49941)+E(f329(f168(x49941),f329(f171(x49941),x49942)),f329(f168(x49941),x49942)) % 166.52/166.34 [4999]~E(x49991,f329(a117,f2(a910)))+E(f329(f329(f249(a910),x49991),x49992),f329(a117,f2(a910))) % 166.52/166.34 [5008]~P79(x50081)+E(f329(f329(f23(x50081),f2(x50081)),x50082),f329(f81(x50081),x50082)) % 166.52/166.34 [5009]~E(x50092,f2(a910))+E(f142(a910,f329(f304(a910,x50091),x50092)),f118(a910)) % 166.52/166.34 [5018]~P96(x50181)+E(f329(f329(f82(x50181),x50182),f329(f108(x50181),a85)),x50182) % 166.52/166.34 [5019]E(x50191,f2(a1))+E(f48(f329(f77(a1),x50192),f329(f77(a1),x50191)),f54(x50192,x50191)) % 166.52/166.34 [5035]~E(x50351,x50352)+P1(f329(f329(f239(a910),x50351),x50352)) % 166.52/166.34 [5042]~E(x50421,f2(a104))+E(f329(f329(f82(a910),f329(a20,x50421)),x50422),x50422) % 166.52/166.34 [5043]~E(f329(f108(a1),x50432),f329(f105(a1),x50431))+E(x50431,f329(a109,f329(f108(a1),x50432))) % 166.52/166.34 [5044]~P10(x50441)+E(f100(x50441,f329(f16(x50441,x50441),x50442)),x50442) % 166.52/166.34 [5057]~P11(x50571)+P11(f329(f329(f249(a1),x50571),x50572)) % 166.52/166.34 [5058]~P98(x50581)+E(f329(f329(f115(x50581),x50582),f329(f81(x50581),x50582)),f247(x50581)) % 166.52/166.34 [5059]~P79(x50591)+E(f329(f329(f82(x50591),x50592),f329(f81(x50591),x50592)),f2(x50591)) % 166.52/166.34 [5060]~P98(x50601)+E(f329(f329(f106(x50601),x50602),f329(f81(x50601),x50602)),f191(x50601)) % 166.52/166.34 [5084]E(x50841,f2(a910))+~E(f329(f81(a1),f329(f105(a1),x50842)),f329(f105(a1),x50841)) % 166.52/166.34 [5085]E(x50851,f2(a910))+~E(f329(f81(a1),f329(f105(a1),x50851)),f329(f105(a1),x50852)) % 166.52/166.34 [5095]E(f198(x50951,x50952),f2(a1))+P1(f329(f329(f239(a1),x50952),x50951)) % 166.52/166.34 [5096]E(f181(x50961,x50962),f118(a1))+P1(f329(f329(f239(a1),x50961),x50962)) % 166.52/166.34 [5097]E(f246(x50971,x50972),f2(a104))+P1(f329(f329(f240(a104),x50971),x50972)) % 166.52/166.34 [5110]E(x51101,f329(a117,f2(a910)))+~E(f329(f329(f83(a910),x51102),x51101),f329(a117,f2(a910))) % 166.52/166.34 [5111]E(x51111,f329(a117,f2(a910)))+~E(f329(f329(f83(a910),x51111),x51112),f329(a117,f2(a910))) % 166.52/166.34 [5112]~P111(x51121)+P1(f329(f329(f239(x51121),x51122),x51122)) % 166.52/166.34 [5115]~P96(x51151)+E(f329(f329(f83(x51151),x51152),f329(f108(x51151),a102)),f329(f81(x51151),x51152)) % 166.52/166.34 [5135]~P120(x51351)+E(f329(f81(x51351),f329(f107(x51351),x51352)),f329(f107(x51351),f329(f81(a1),x51352))) % 166.52/166.34 [5136]~P96(x51361)+E(f329(f81(x51361),f329(f108(x51361),x51362)),f329(f108(x51361),f329(f81(a1),x51362))) % 166.52/166.34 [5165]~E(x51651,f329(a117,x51652))+P1(f329(f329(f240(a910),f2(a910)),x51651)) % 166.52/166.34 [5183]~P112(x51831)+E(f329(f81(f918(x51831,a905)),f329(f285(x51831),x51832)),f329(f286(x51831),x51832)) % 166.52/166.34 [5184]~P112(x51841)+E(f329(f81(f918(x51841,a905)),f329(f303(x51841),x51842)),f329(f306(x51841),x51842)) % 166.52/166.34 [5185]~P112(x51851)+E(f329(f81(f918(x51851,a905)),f329(f286(x51851),x51852)),f329(f285(x51851),x51852)) % 166.52/166.34 [5186]~P112(x51861)+E(f329(f81(f918(x51861,a905)),f329(f306(x51861),x51862)),f329(f303(x51861),x51862)) % 166.52/166.34 [5196]~E(f329(f105(a1),x51962),x51961)+P1(f329(f329(f239(a1),f2(a1)),x51961)) % 166.52/166.34 [5205]~E(x52052,f2(a1))+E(f54(x52051,x52052),f329(f329(f257(a1,a1),f2(a1)),f329(f77(a1),x52051))) % 166.52/166.34 [5207]~P105(x52071)+P1(f329(f329(f239(x52071),f191(x52071)),x52072)) % 166.52/166.34 [5240]E(x52401,x52402)+~E(f329(f329(f82(a1),x52401),x52401),f329(f329(f82(a1),x52402),x52402)) % 166.52/166.34 [5246]~P1(f329(x52461,x52462))+P1(f329(x52461,f329(a109,f337(x52461)))) % 166.52/166.34 [5272]~P123(x52721)+E(f329(f329(f83(x52721),f84(x52721,x52722)),f329(f77(x52721),x52722)),x52722) % 166.52/166.34 [5273]E(x52731,x52732)+~P1(f329(f329(f197(a25),x52731),x52732)) % 166.52/166.34 [5280]~E(x52802,f2(a910))+E(f87(f917(a910,a910),f49(x52801,x52802)),f329(f329(f257(a910,a910),f2(a910)),x52801)) % 166.52/166.34 [5285]~E(x52851,x52852)+~P1(f329(f329(f240(a910),x52851),x52852)) % 166.52/166.34 [5286]~E(x52861,x52862)+~P1(f329(f329(f240(a1),x52861),x52862)) % 166.52/166.34 [5289]~P109(x52891)+E(f329(f329(f82(x52891),f80(x52891)),f329(f105(x52891),x52892)),f329(f105(x52891),f329(a117,x52892))) % 166.52/166.34 [5293]~E(x52931,f2(a910))+~P1(f329(f329(f240(a910),x52932),x52931)) % 166.52/166.34 [5307]E(f155(x53071,x53072),x53072)+~E(f329(f192(f911(x53071)),f155(x53071,x53072)),f329(f192(f911(x53071)),x53072)) % 166.52/166.34 [5308]E(f329(f36(x53081),f329(f175(x53081),x53082)),f329(f192(f911(x53081)),x53082))+~P1(f329(f140(x53081),x53082)) % 166.52/166.34 [5322]~P1(f329(x53221,f339(x53221)))+P1(f329(x53221,f329(f105(a1),x53222))) % 166.52/166.34 [5332]E(f246(x53321,x53322),x53322)+~P1(f329(f329(f240(a104),x53321),x53322)) % 166.52/166.34 [5334]E(f275(x53341,x53342),f80(a104))+~P1(f329(f329(f240(a104),x53342),x53341)) % 166.52/166.34 [5335]E(f181(x53351,x53352),f118(a1))+~P1(f329(f329(f240(a1),x53352),x53351)) % 166.52/166.34 [5336]E(f132(x53361,x53362),f120(a1))+~P1(f329(f329(f240(a1),x53361),x53362)) % 166.52/166.34 [5338]~P114(x53381)+E(f305(x53381,x53382,x53382),f329(f329(f311(x53381),x53382),f191(f918(x53381,a905)))) % 166.52/166.34 [5358]~E(f329(f329(f23(a910),x53581),x53582),f2(a910))+P1(f329(f329(f239(a910),x53581),x53582)) % 166.52/166.34 [5381]~E(x53812,f2(a910))+E(f56(x53811,x53812,f118(x53811)),f329(f329(f154(f911(x53811)),f118(x53811)),f118(f911(x53811)))) % 166.52/166.34 [5385]~P111(x53851)+~P1(f329(f329(f240(x53851),x53852),x53852)) % 166.52/166.34 [5387]~E(f46(a1,x53871,x53872),f2(a1))+E(f46(a1,x53871,f329(f81(a1),x53872)),f2(a1)) % 166.52/166.34 [5389]~E(f46(a1,x53891,x53892),f2(a1))+E(f46(a1,f329(f81(a1),x53891),x53892),f2(a1)) % 166.52/166.34 [5397]E(f329(f304(a910,x53971),f329(a117,x53972)),f191(f918(a910,a905)))+P1(f329(f329(f239(a910),x53971),x53972)) % 166.52/166.34 [5420]E(f142(a910,f329(f304(a910,x54201),x54202)),f118(a910))+P1(f329(f329(f240(a910),x54201),x54202)) % 166.52/166.34 [5425]~E(f329(f36(x54251),f329(f175(x54251),x54252)),f329(f192(f911(x54251)),x54252))+P1(f329(f140(x54251),x54252)) % 166.52/166.34 [5429]~P1(f329(f140(x54291),x54292))+P1(f329(f140(x54291),f329(f170(x54291),x54292))) % 166.52/166.34 [5430]~P1(f329(f140(x54301),x54302))+P1(f329(f140(x54301),f329(f174(x54301),x54302))) % 166.52/166.34 [5431]~P1(f329(f140(x54311),x54312))+P1(f329(f140(x54311),f329(f171(x54311),x54312))) % 166.52/166.34 [5439]P1(f329(x54391,x54392))+~P1(f329(x54391,f329(a109,f338(x54391)))) % 166.52/166.34 [5440]P1(f329(f329(f239(a910),x54402),x54401))+P1(f329(f329(f239(a910),x54401),x54402)) % 166.52/166.34 [5441]P1(f329(f329(f239(a1),x54412),x54411))+P1(f329(f329(f239(a1),x54411),x54412)) % 166.52/166.34 [5445]~P89(x54451)+P1(f329(f329(f239(x54451),x54452),f329(f77(x54451),x54452))) % 166.52/166.34 [5448]P1(f329(x54481,f349(x54481)))+~P1(f329(x54481,f329(f105(a1),x54482))) % 166.52/166.34 [5472]E(f329(f329(f23(a910),x54721),x54722),f2(a910))+~P1(f329(f329(f239(a910),x54721),x54722)) % 166.52/166.34 [5473]E(f329(f329(f37(a910),x54731),x54732),f2(a910))+~P1(f329(f329(f240(a910),x54731),x54732)) % 166.52/166.34 [5491]E(f46(a910,x54911,x54912),x54911)+~P1(f329(f329(f240(a910),x54911),x54912)) % 166.52/166.34 [5499]E(f46(a1,x54991,f329(f81(a1),x54992)),f293(x54991,x54992))+P1(f329(f329(f239(a1),f2(a1)),x54992)) % 166.52/166.34 [5511]E(f329(f329(f23(a1),x55111),x55112),f198(x55111,x55112))+~P1(f329(f329(f239(a1),x55112),x55111)) % 166.52/166.34 [5529]P1(f329(f329(f239(a1),f2(a1)),f339(x55291)))+P1(f329(x55291,f329(f105(a1),x55292))) % 166.52/166.34 [5542]~P122(x55421)+P1(f329(f329(f239(x55421),f2(x55421)),f329(f105(x55421),x55422))) % 166.52/166.34 [5543]~P89(x55431)+P1(f329(f329(f239(x55431),f2(x55431)),f329(f77(x55431),x55432))) % 166.52/166.34 [5570]E(f329(f329(f82(a910),x55701),f695(x55702,x55701)),x55702)+~P1(f329(f329(f239(a910),x55701),x55702)) % 166.52/166.34 [5582]~E(f329(f108(a1),x55821),f329(f105(a1),x55822))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x55821))) % 166.52/166.34 [5585]E(f305(a1,x55851,x55852),f191(f918(a1,a905)))+~P1(f329(f329(f240(a1),x55852),x55851)) % 166.52/166.34 [5587]~P123(x55871)+E(f329(f329(f83(x55871),f329(f77(x55871),x55872)),f329(f77(x55871),x55872)),f329(f329(f83(x55871),x55872),x55872)) % 166.52/166.34 [5593]E(f142(a910,f329(f304(a910,x55931),f329(a117,x55932))),f118(a910))+P1(f329(f329(f239(a910),x55931),x55932)) % 166.52/166.34 [5597]E(f329(f329(f37(a1),x55971),x55972),f294(x55971,x55972))+~P1(f329(f329(f239(a1),f2(a1)),x55972)) % 166.52/166.34 [5617]P1(f329(f140(x56171),x56172))+~P1(f329(f140(x56171),f329(f170(x56171),x56172))) % 166.52/166.34 [5618]P1(f329(f140(x56181),x56182))+~P1(f329(f140(x56181),f329(f171(x56181),x56182))) % 166.52/166.34 [5643]P1(f329(f62(a910),x56431))+P1(f329(f329(f331(a910),f867(x56431,x56432)),x56431)) % 166.52/166.34 [5644]P1(f329(f62(a910),x56441))+P1(f329(f329(f331(a910),f877(x56441,x56442)),x56441)) % 166.52/166.34 [5647]P1(f329(f329(f240(a910),x56472),f329(a117,x56471)))+P1(f329(f329(f240(a910),x56471),x56472)) % 166.52/166.34 [5648]E(f46(a1,x56481,x56482),f293(x56481,x56482))+~P1(f329(f329(f239(a1),f2(a1)),x56482)) % 166.52/166.34 [5651]E(f142(a910,f329(f304(a910,x56511),x56512)),f118(a910))+~P1(f329(f329(f239(a910),x56512),x56511)) % 166.52/166.34 [5652]~P86(x56521)+E(f329(f312(x56521,x56521,f81(x56521)),f329(f285(x56521),x56522)),f329(f306(x56521),f329(f81(x56521),x56522))) % 166.52/166.34 [5653]~P86(x56531)+E(f329(f312(x56531,x56531,f81(x56531)),f329(f303(x56531),x56532)),f329(f286(x56531),f329(f81(x56531),x56532))) % 166.52/166.34 [5654]~P86(x56541)+E(f329(f312(x56541,x56541,f81(x56541)),f329(f286(x56541),x56542)),f329(f303(x56541),f329(f81(x56541),x56542))) % 166.52/166.34 [5655]~P86(x56551)+E(f329(f312(x56551,x56551,f81(x56551)),f329(f306(x56551),x56552)),f329(f285(x56551),f329(f81(x56551),x56552))) % 166.52/166.34 [5666]E(x56661,f191(f918(x56662,a905)))+P1(f329(f329(f331(x56662),f354(x56661,x56662)),x56661)) % 166.52/166.34 [5667]E(x56671,f191(f918(x56672,a905)))+P1(f329(f329(f331(x56672),f390(x56671,x56672)),x56671)) % 166.52/166.34 [5678]~P1(f329(f329(f240(a910),x56781),x56782))+P1(f329(f329(f239(a910),x56781),x56782)) % 166.52/166.34 [5679]~P1(f329(f329(f240(a1),x56791),x56792))+P1(f329(f329(f239(a1),x56791),x56792)) % 166.52/166.34 [5695]E(f48(x56951,x56952),f329(f329(f257(a1,a1),f2(a1)),x56951))+~P1(f329(f329(f240(a1),x56951),x56952)) % 166.52/166.34 [5697]E(f219(f329(f81(a1),x56971),f329(f81(a1),x56972)),f219(x56971,x56972))+~P1(f329(f329(f240(a1),x56972),f2(a1))) % 166.52/166.34 [5709]E(x57091,x57092)+~E(f329(a3,f329(a117,f329(a20,x57091))),f329(a3,f329(a117,f329(a20,x57092)))) % 166.52/166.34 [5714]E(f48(x57141,x57142),f329(f329(f257(a1,a1),f2(a1)),x57141))+~P1(f329(f329(f239(a1),x57142),f2(a1))) % 166.52/166.34 [5743]E(f46(a910,f329(f108(a910),x57431),f329(f108(a910),x57432)),f2(a910))+~P1(f329(a196,f329(f108(a1),x57431))) % 166.52/166.34 [5758]P1(f329(f329(f239(a1),f2(a1)),f349(x57581)))+~P1(f329(x57581,f329(f105(a1),x57582))) % 166.52/166.34 [5791]P47(f305(a1,x57911,x57912))+~P1(f329(f329(f239(a1),f2(a1)),x57911)) % 166.52/166.34 [5796]~P1(f329(f62(x57961),x57962))+P1(f329(f62(f918(x57961,a905)),f329(f310(x57961),x57962))) % 166.52/166.34 [5809]E(f329(f329(f82(a1),x58091),f329(f105(a1),f341(x58092,x58091))),x58092)+~P1(f329(f329(f239(a1),x58091),x58092)) % 166.52/166.34 [5817]P1(f329(f329(f239(a910),x58171),x58172))+P1(f329(f329(f239(a910),f329(a117,x58172)),x58171)) % 166.52/166.34 [5860]E(f329(f329(f37(a910),f329(f108(a910),x58601)),f329(f108(a910),x58602)),f2(a910))+~P1(f329(a196,f329(f108(a1),x58601))) % 166.52/166.34 [5861]E(f329(f329(f83(a910),f329(f108(a910),x58611)),f329(f108(a910),x58612)),f2(a910))+~P1(f329(f329(f240(a1),x58611),a85)) % 166.52/166.34 [5863]P1(f329(f329(f239(a910),x58631),f329(a117,x58632)))+~P1(f329(f329(f239(a910),x58631),x58632)) % 166.52/166.34 [5865]P1(f329(f329(f240(a910),x58651),f329(a117,x58652)))+~P1(f329(f329(f239(a910),x58651),x58652)) % 166.52/166.34 [5867]P1(f329(f329(f240(a910),x58671),f329(a117,x58672)))+~P1(f329(f329(f240(a910),x58671),x58672)) % 166.52/166.34 [5870]~E(x58701,x58702)+P1(f329(f329(f240(a1),x58701),f329(f329(f82(a1),x58702),f80(a1)))) % 166.52/166.34 [5873]E(f46(a1,x58731,x58732),f2(a1))+E(f329(f329(f23(a1),x58732),f46(a1,x58731,x58732)),f46(a1,f329(f81(a1),x58731),x58732)) % 166.52/166.34 [5882]E(x58821,f118(x58822))+P1(f329(f329(f331(x58822),f147(x58822,x58821)),f329(f175(x58822),x58821))) % 166.52/166.34 [5894]E(f87(f917(a910,a910),f49(x58941,x58942)),f329(f329(f257(a910,a910),f2(a910)),x58941))+~P1(f329(f329(f240(a910),x58941),x58942)) % 166.52/166.34 [5928]E(f329(f329(f82(a910),f329(f108(a910),x59281)),f329(f108(a910),x59282)),f329(f108(a910),x59282))+~P1(f329(f329(f240(a1),x59281),a85)) % 166.52/166.34 [5929]E(f329(f329(f23(a910),f329(f108(a910),x59291)),f329(f108(a910),x59292)),f329(f108(a910),x59291))+~P1(f329(f329(f240(a1),x59292),a85)) % 166.52/166.34 [5936]E(f329(a117,f329(f329(f82(a910),x59361),f887(x59362,x59361))),x59362)+~P1(f329(f329(f240(a910),x59361),x59362)) % 166.52/166.34 [5963]P1(f329(x59631,x59632))+~P1(f329(x59631,f329(a91,f569(x59632,x59631)))) % 166.52/166.34 [5964]P1(f329(x59641,x59642))+~P1(f329(x59641,f329(a3,f842(x59642,x59641)))) % 166.52/166.34 [5972]~P1(f329(f329(f240(a910),x59721),f329(a117,x59722)))+P1(f329(f329(f239(a910),x59721),x59722)) % 166.52/166.34 [6018]E(f329(f329(f311(a910),x60181),f329(f304(a910,x60182),x60181)),f329(f304(a910,x60182),f329(a117,x60181)))+~P1(f329(f329(f239(a910),x60182),x60181)) % 166.52/166.34 [6020]E(x60201,f118(x60202))+E(f329(f329(f137(x60202),f119(x60202,x60201)),f329(f329(f154(x60202),f147(x60202,x60201)),f118(x60202))),x60201) % 166.52/166.34 [6037]P1(f329(f62(x60371),x60372))+~P1(f329(f329(f240(a910),f2(a910)),f329(f36(x60371),x60372))) % 166.52/166.34 [6039]~E(x60391,f191(f918(x60392,a905)))+~P1(f329(f329(f240(a910),f2(a910)),f329(f36(x60392),x60391))) % 166.52/166.34 [6051]~P1(f329(f329(f240(a910),x60511),x60512))+P1(f329(f329(f239(a910),f329(a117,x60511)),x60512)) % 166.52/166.34 [6056]~P112(x60561)+E(f153(x60561,x60561,f5(x60561),f155(x60561,x60562)),f142(x60561,f329(f175(x60561),x60562))) % 166.52/166.34 [6059]E(x60591,f118(x60592))+P1(f329(f329(f331(x60592),f329(f144(x60592),x60591)),f329(f175(x60592),x60591))) % 166.52/166.34 [6065]~P122(x60651)+P1(f329(f329(f240(x60651),x60652),f329(f329(f82(x60651),x60652),f80(x60651)))) % 166.52/166.34 [6067]~P89(x60671)+P1(f329(f329(f239(x60671),f329(f81(x60671),x60672)),f329(f77(x60671),x60672))) % 166.52/166.34 [6101]P1(f329(f62(a910),x61011))+~P1(f329(f329(f239(a910),f867(x61011,x61012)),x61012)) % 166.52/166.34 [6102]P1(f329(f62(a910),x61021))+~P1(f329(f329(f240(a910),f877(x61021,x61022)),x61022)) % 166.52/166.34 [6106]~P1(f329(f62(f917(x61061,x61061)),x61062))+P1(f329(f62(x61061),f329(f284(x61061),x61062))) % 166.52/166.34 [6164]~P1(f329(f329(f240(a910),x61642),f329(a117,x61641)))+~P1(f329(f329(f240(a910),x61641),x61642)) % 166.52/166.34 [6165]~P114(x61651)+E(f329(f329(f106(f918(x61651,a905)),f329(f303(x61651),x61652)),f329(f286(x61651),x61652)),f329(f329(f311(x61651),x61652),f191(f918(x61651,a905)))) % 166.52/166.34 [6177]P1(f329(f62(x61771),x61772))+~P1(f329(f62(f918(x61771,a905)),f329(f310(x61771),x61772))) % 166.52/166.34 [6200]P1(f329(f329(f239(a910),f329(a117,x62001)),f329(a117,x62002)))+~P1(f329(f329(f239(a910),x62001),x62002)) % 166.52/166.34 [6201]P1(f329(f329(f239(a910),f329(a20,x62011)),f329(a20,x62012)))+~P1(f329(f329(f239(a104),x62011),x62012)) % 166.52/166.34 [6202]P1(f329(f329(f239(a104),f329(a3,x62021)),f329(a3,x62022)))+~P1(f329(f329(f239(a910),x62021),x62022)) % 166.52/166.34 [6204]P1(f329(f329(f240(a910),f329(a117,x62041)),f329(a117,x62042)))+~P1(f329(f329(f240(a910),x62041),x62042)) % 166.52/166.34 [6205]P1(f329(f329(f240(a910),f329(a20,x62051)),f329(a20,x62052)))+~P1(f329(f329(f240(a104),x62051),x62052)) % 166.52/166.34 [6206]P1(f329(f329(f240(a104),f329(a3,x62061)),f329(a3,x62062)))+~P1(f329(f329(f240(a910),x62061),x62062)) % 166.52/166.34 [6211]E(x62111,x62112)+~E(f329(f312(a910,a1,f105(a1)),x62111),f329(f312(a910,a1,f105(a1)),x62112)) % 166.52/166.34 [6227]P1(f329(f329(f239(a910),x62271),x62272))+~P1(f329(f329(f239(a910),f329(a117,x62271)),x62272)) % 166.52/166.34 [6230]P1(f329(f329(f240(a910),x62301),x62302))+~P1(f329(f329(f239(a910),f329(a117,x62301)),x62302)) % 166.52/166.34 [6231]P1(f329(f329(f240(a910),x62311),x62312))+~P1(f329(f329(f240(a910),f329(a117,x62311)),x62312)) % 166.52/166.34 [6249]E(f46(a1,x62491,x62492),f2(a1))+E(f329(f329(f23(a1),f46(a1,x62491,x62492)),x62492),f46(a1,x62491,f329(f81(a1),x62492))) % 166.52/166.34 [6314]E(f329(f36(f918(x63141,a905)),f329(f310(x63141),x63142)),f329(f329(f249(a910),f329(a117,f329(a117,f2(a910)))),f329(f36(x63141),x63142)))+~P1(f329(f62(x63141),x63142)) % 166.52/166.34 [6317]E(x63171,f118(x63172))+E(f329(f329(f167(x63172),x63171),f329(f329(f23(a910),f329(f192(f911(x63172)),x63171)),f80(a910))),f147(x63172,x63171)) % 166.52/166.34 [6339]E(x63391,f118(x63392))+E(f329(f329(f137(x63392),f329(f174(x63392),x63391)),f329(f329(f154(x63392),f329(f144(x63392),x63391)),f118(x63392))),f329(f170(x63392),x63391)) % 166.52/166.34 [6369]~P1(f329(f62(x63691),f38(f918(x63691,a905),x63692)))+P1(f329(f62(f918(x63691,a905)),x63692)) % 166.52/166.34 [6391]P1(f329(f329(f239(a910),f329(f108(a910),x63911)),f329(f108(a910),x63912)))+~P1(f329(f329(f239(a1),x63911),a85)) % 166.52/166.34 [6411]~P1(f329(f329(f240(a1),x64111),x64112))+P1(f329(f329(f239(a1),x64111),f329(f329(f23(a1),x64112),f80(a1)))) % 166.52/166.34 [6412]~P1(f329(f329(f239(a1),x64121),x64122))+P1(f329(f329(f240(a1),x64121),f329(f329(f82(a1),x64122),f80(a1)))) % 166.52/166.34 [6413]~P1(f329(f329(f240(a1),x64131),x64132))+P1(f329(f329(f240(a1),x64131),f329(f329(f82(a1),x64132),f80(a1)))) % 166.52/166.34 [6415]~P1(f329(f329(f239(a1),x64151),x64152))+P1(f329(f329(f239(a910),f329(f108(a910),x64151)),f329(f108(a910),x64152))) % 166.52/166.34 [6417]~P1(f329(f329(f239(a910),x64171),x64172))+P1(f329(f329(f239(a1),f329(f105(a1),x64171)),f329(f105(a1),x64172))) % 166.52/166.34 [6418]~P1(f329(f329(f239(a1),x64181),x64182))+P1(f329(f329(f239(a1),f329(f108(a1),x64181)),f329(f108(a1),x64182))) % 166.52/166.34 [6420]~P1(f329(f329(f240(a910),x64201),x64202))+P1(f329(f329(f240(a1),f329(f105(a1),x64201)),f329(f105(a1),x64202))) % 166.52/166.34 [6421]~P1(f329(f329(f240(a1),x64211),x64212))+P1(f329(f329(f240(a1),f329(f108(a1),x64211)),f329(f108(a1),x64212))) % 166.52/166.34 [6440]~P1(f329(f329(f239(a910),x64401),x64402))+~P1(f329(f329(f239(a910),f329(a117,x64402)),x64401)) % 166.52/166.34 [6483]~P1(f329(f329(f239(a910),f329(a117,x64831)),f329(a117,x64832)))+P1(f329(f329(f239(a910),x64831),x64832)) % 166.52/166.34 [6484]~P1(f329(f329(f239(a104),f329(a3,x64841)),f329(a3,x64842)))+P1(f329(f329(f239(a910),x64841),x64842)) % 166.52/166.34 [6485]~P1(f329(f329(f239(a910),f329(a20,x64851)),f329(a20,x64852)))+P1(f329(f329(f239(a104),x64851),x64852)) % 166.52/166.34 [6487]~P1(f329(f329(f240(a910),f329(a117,x64871)),f329(a117,x64872)))+P1(f329(f329(f240(a910),x64871),x64872)) % 166.52/166.34 [6488]~P1(f329(f329(f240(a104),f329(a3,x64881)),f329(a3,x64882)))+P1(f329(f329(f240(a910),x64881),x64882)) % 166.52/166.34 [6489]~P1(f329(f329(f240(a910),f329(a109,x64891)),f329(a109,x64892)))+P1(f329(f329(f240(a1),x64891),x64892)) % 166.52/166.34 [6490]~P1(f329(f329(f240(a910),f329(a20,x64901)),f329(a20,x64902)))+P1(f329(f329(f240(a104),x64901),x64902)) % 166.52/166.34 [6533]~P1(f329(f329(f240(a910),f329(a109,x65332)),f329(a109,x65331)))+P1(f329(f329(f240(a1),f2(a1)),x65331)) % 166.52/166.34 [6565]P1(f329(f329(f239(a1),f2(a1)),f46(a1,x65651,x65652)))+~P1(f329(f329(f240(a1),f2(a1)),x65652)) % 166.52/166.34 [6726]P43(x67261,x67262)+~E(f329(f329(f291(x67261,x67261,x67261),x67262),x67262),f191(f918(f917(x67261,x67261),a905))) % 166.52/166.34 [6738]~P43(x67381,x67382)+P43(x67381,f329(f329(f291(x67381,x67381,x67381),x67382),x67382)) % 166.52/166.34 [6749]P1(f329(f329(f239(a1),x67491),x67492))+~P1(f329(f329(f240(a1),x67491),f329(f329(f82(a1),x67492),f80(a1)))) % 166.52/166.34 [6750]P1(f329(f329(f240(a1),x67501),x67502))+~P1(f329(f329(f239(a1),x67501),f329(f329(f23(a1),x67502),f80(a1)))) % 166.52/166.34 [6753]P1(f329(f329(f239(a910),x67531),x67532))+~P1(f329(f329(f239(a1),f329(f105(a1),x67531)),f329(f105(a1),x67532))) % 166.52/166.34 [6754]P1(f329(f329(f239(a1),x67541),x67542))+~P1(f329(f329(f239(a1),f329(f108(a1),x67541)),f329(f108(a1),x67542))) % 166.52/166.34 [6756]P1(f329(f329(f240(a910),x67561),x67562))+~P1(f329(f329(f240(a1),f329(f105(a1),x67561)),f329(f105(a1),x67562))) % 166.52/166.34 [6757]P1(f329(f329(f240(a1),x67571),x67572))+~P1(f329(f329(f240(a910),f329(f108(a910),x67571)),f329(f108(a910),x67572))) % 166.52/166.34 [6758]P1(f329(f329(f240(a1),x67581),x67582))+~P1(f329(f329(f240(a1),f329(f108(a1),x67581)),f329(f108(a1),x67582))) % 166.52/166.34 [6852]~E(f724(x68522,x68521),f118(x68521))+E(f329(f145(f911(x68521),f911(x68521),f137(x68521),f118(x68521)),x68522),f118(x68521)) % 166.52/166.34 [6853]~E(f725(x68532,x68531),f118(x68531))+E(f329(f145(f911(x68531),f911(x68531),f137(x68531),f118(x68531)),x68532),f118(x68531)) % 166.52/166.34 [6858]~P10(x68581)+E(f329(f145(x68581,x68581,f106(x68581),f247(x68581)),x68582),f39(x68581,f329(f175(x68581),x68582))) % 166.52/166.34 [6859]~P10(x68591)+E(f329(f145(x68591,x68591,f115(x68591),f191(x68591)),x68592),f38(x68591,f329(f175(x68591),x68592))) % 166.52/166.34 [6873]E(x68731,f2(a104))+E(f329(f329(f82(a910),f329(a20,f329(f329(f23(a104),x68731),f80(a104)))),f329(a117,x68732)),f329(f329(f82(a910),f329(a20,x68731)),x68732)) % 166.52/166.34 [6922]P1(f329(f329(f240(a1),f329(f329(f23(a1),x69221),x69222)),f2(a1)))+~P1(f329(f329(f240(a1),x69221),x69222)) % 166.52/166.34 [6947]~P112(x69471)+E(f329(f329(f115(f918(x69471,a905)),f329(f329(f311(x69471),x69472),f191(f918(x69471,a905)))),f329(f306(x69471),x69472)),f329(f286(x69471),x69472)) % 166.52/166.34 [7020]~P67(x70201,x70202)+P43(x70201,f329(f267(f917(x70201,x70201)),f329(f262(x70201,x70201,a905),x70202))) % 166.52/166.34 [7021]~P67(x70211,x70212)+P65(x70211,f329(f267(f917(x70211,x70211)),f329(f262(x70211,x70211,a905),x70212))) % 166.52/166.34 [7022]~P57(x70221,x70222)+P44(x70221,f329(f267(f917(x70221,x70221)),f329(f262(x70221,x70221,a905),x70222))) % 166.52/166.34 [7023]~P58(x70231,x70232)+P59(x70231,f329(f267(f917(x70231,x70231)),f329(f262(x70231,x70231,a905),x70232))) % 166.52/166.34 [7024]E(x70241,f191(f918(x70242,a905)))+~P1(f329(f329(f239(f918(x70242,a905)),x70241),f191(f918(x70242,a905)))) % 166.52/166.34 [7106]~P1(f329(f329(f240(a910),f2(a910)),x71062))+P1(f329(f329(f239(a910),f46(a910,x71061,x71062)),x71062)) % 166.52/166.34 [7107]~P1(f329(f329(f239(a1),f2(a1)),x71071))+P1(f329(f329(f239(a1),f46(a1,x71071,x71072)),x71071)) % 166.52/166.34 [7108]~P1(f329(f329(f240(a910),f2(a910)),x71082))+P1(f329(f329(f240(a910),f46(a910,x71081,x71082)),x71082)) % 166.52/166.34 [7110]~P1(f329(f329(f240(a1),f2(a1)),x71102))+P1(f329(f329(f240(a1),f46(a1,x71101,x71102)),x71102)) % 166.52/166.34 [7186]~P114(x71861)+E(f329(f329(f23(f918(x71861,a905)),f329(f329(f311(x71861),x71862),f191(f918(x71861,a905)))),f329(f285(x71861),x71862)),f329(f329(f311(x71861),x71862),f191(f918(x71861,a905)))) % 166.52/166.34 [7258]~P56(x72581,x72582)+P60(x72581,f247(f918(x72581,a905)),f329(f267(f917(x72581,x72581)),f329(f262(x72581,x72581,a905),x72582))) % 166.52/166.34 [7259]P1(f329(x72591,x72592))+P1(f329(f329(f331(f918(f917(a910,a910),a905)),f569(x72592,x72591)),a103)) % 166.52/166.34 [7304]E(f329(f329(f137(a910),f142(a910,f329(f304(a910,x73041),x73042))),f329(f329(f154(a910),x73042),f118(a910))),f142(a910,f329(f304(a910,x73041),f329(a117,x73042))))+~P1(f329(f329(f239(a910),x73041),x73042)) % 166.52/166.34 [7460]E(x74601,f2(a910))+~E(f329(f145(a910,a910,f82(a910),x74601),x74602),f2(a910)) % 166.52/166.34 [7486]~P1(f329(f329(f240(a1),f329(f329(f23(a1),x74861),x74862)),f2(a1)))+P1(f329(f329(f240(a1),x74861),x74862)) % 166.52/166.34 [7513]P43(x75131,x75132)+~P43(x75131,f329(f329(f291(x75131,x75131,x75131),x75132),x75132)) % 166.52/166.34 [7542]~P1(f329(f329(f239(a910),f329(a117,x75421)),x75422))+P1(f188(a905,a244,f329(f239(a910),x75421),x75422)) % 166.52/166.34 [7698]P30(a910,a910,f329(f329(f7(a910,a910,a910),f23(a910)),x76981),x76982)+P1(f329(f329(f331(a910),f879(x76981,x76982)),x76982)) % 166.52/166.34 [7755]E(f329(f329(f329(f66(a910,x77551,f82(a910)),f329(f16(a910,x77551),f80(a910))),f2(a910)),x77552),f329(f36(x77551),x77552))+~P1(f329(f62(x77551),x77552)) % 166.52/166.34 [7797]P30(a910,a910,f329(f329(f7(a910,a910,a910),f23(a910)),x77971),x77972)+~P1(f329(f329(f239(a910),x77971),f879(x77971,x77972))) % 166.52/166.34 [7853]P43(x78531,x78532)+P1(f329(f329(f239(f918(x78531,a905)),f573(x78532,x78531)),f329(f288(x78531,x78531,x78532),f573(x78532,x78531)))) % 166.52/166.34 [7858]P67(x78581,x78582)+~P43(x78581,f329(f267(f917(x78581,x78581)),f329(f262(x78581,x78581,a905),x78582))) % 166.52/166.34 [7859]P57(x78591,x78592)+~P44(x78591,f329(f267(f917(x78591,x78591)),f329(f262(x78591,x78591,a905),x78592))) % 166.52/166.34 [7860]P58(x78601,x78602)+~P59(x78601,f329(f267(f917(x78601,x78601)),f329(f262(x78601,x78601,a905),x78602))) % 166.52/166.34 [7934]P1(f329(f329(f239(a910),f329(a117,x79341)),x79342))+~P1(f188(a905,a244,f329(f239(a910),x79341),x79342)) % 166.52/166.34 [7990]P1(f329(f329(f331(f917(a910,a910)),f329(f329(f257(a910,a910),x79901),x79902)),f309(a910,a319)))+~P1(f329(f329(f239(a910),x79901),x79902)) % 166.52/166.34 [8087]P56(x80871,x80872)+~P60(x80871,f247(f918(x80871,a905)),f329(f267(f917(x80871,x80871)),f329(f262(x80871,x80871,a905),x80872))) % 166.52/166.34 [8150]~P1(f329(f140(x81501),x81502))+P1(f329(f140(f918(x81501,a905)),f329(f329(f157(f911(x81501),f918(x81501,a905)),f175(x81501)),f55(x81501,x81502)))) % 166.52/166.34 [8352]~P43(x83521,f329(f289(x83521,x83521),x83522))+P43(x83521,f329(f289(x83521,x83521),f329(f329(f291(x83521,x83521,x83521),x83522),f309(x83521,x83522)))) % 166.52/166.34 [8478]P1(f329(f62(f917(x84781,x84781)),f329(f329(f291(x84781,x84781,x84781),x84782),f309(x84781,x84782))))+~P1(f329(f62(f917(x84781,x84781)),x84782)) % 166.52/166.34 [8506]E(x85061,f2(a1))+P1(f329(f50(x85062,x85061),f329(f329(f257(a1,a1),f329(f329(f37(a1),x85062),x85061)),f46(a1,x85062,x85061)))) % 166.52/166.34 [8519]~P1(f329(f329(f331(f917(a910,a910)),f329(f329(f257(a910,a910),x85191),x85192)),f309(a910,a319)))+P1(f329(f329(f239(a910),x85191),x85192)) % 166.52/166.34 [8537]~P4(x85371)+E(f329(f145(x85371,x85371,f329(f7(x85371,x85371,x85371),f82(x85371)),f2(x85371)),f329(f171(x85371),x85372)),f329(f145(x85371,x85371,f82(x85371),f2(x85371)),x85372)) % 166.52/166.34 [8719]~P112(x87191)+E(f329(f145(f911(x87191),x87191,f329(f7(x87191,f911(x87191),f911(x87191)),f151(x87191,x87191,f5(x87191))),f118(x87191)),x87192),f153(x87191,x87191,f5(x87191),x87192)) % 166.52/166.34 [8821]~P65(x88211,f329(f267(f917(x88211,x88211)),f329(f262(x88211,x88211,a905),x88212)))+P65(x88211,f329(f267(f917(x88211,x88211)),f329(f262(x88211,x88211,a905),f248(x88211,x88211,x88212)))) % 166.52/166.34 [8835]P1(f329(f329(f331(f917(a910,a910)),f329(f329(f257(a910,a910),x88351),x88352)),f329(f329(f291(a910,a910,a910),a319),f309(a910,a319))))+~P1(f329(f329(f240(a910),x88351),x88352)) % 166.52/166.34 [8877]~P1(f329(f62(f917(x88771,x88771)),f329(f329(f291(x88771,x88771,x88771),x88772),f309(x88771,x88772))))+P1(f329(f62(f917(x88771,x88771)),x88772)) % 166.52/166.34 [8931]~P65(x89311,f329(f267(f917(x89311,x89311)),f329(f262(x89311,x89311,a905),f248(x89311,x89311,x89312))))+P65(x89311,f329(f267(f917(x89311,x89311)),f329(f262(x89311,x89311,a905),x89312))) % 166.52/166.34 [9133]P65(x91331,x91332)+P1(f329(f329(f331(f917(x91331,x91331)),f329(f329(f257(x91331,x91331),f596(x91332,x91331)),f596(x91332,x91331))),f329(f329(f291(x91331,x91331,x91331),x91332),f309(x91331,x91332)))) % 166.52/166.34 [9134]P65(x91341,x91342)+P1(f329(f329(f331(f917(x91341,x91341)),f329(f329(f257(x91341,x91341),f601(x91342,x91341)),f601(x91342,x91341))),f329(f329(f291(x91341,x91341,x91341),x91342),f309(x91341,x91342)))) % 166.52/166.34 [9253]~P1(f329(f329(f331(f917(a910,a910)),f329(f329(f257(a910,a910),x92531),x92532)),f329(f329(f291(a910,a910,a910),a319),f309(a910,a319))))+P1(f329(f329(f240(a910),x92531),x92532)) % 166.52/166.34 [5179]~P96(x51791)+E(f329(f329(f82(x51791),f329(f108(x51791),a85)),x51792),x51792) % 166.52/166.34 [5212]~P98(x52121)+E(f329(f329(f115(x52121),f329(f81(x52121),x52122)),x52122),f247(x52121)) % 166.52/166.34 [5213]~P75(x52131)+E(f329(f329(f82(x52131),f329(f81(x52131),x52132)),x52132),f2(x52131)) % 166.52/166.34 [5214]~P79(x52141)+E(f329(f329(f82(x52141),f329(f81(x52141),x52142)),x52142),f2(x52141)) % 166.52/166.34 [5215]~P98(x52151)+E(f329(f329(f106(x52151),f329(f81(x52151),x52152)),x52152),f191(x52151)) % 166.52/166.34 [5250]~P96(x52501)+E(f329(f329(f83(x52501),f329(f108(x52501),a102)),x52502),f329(f81(x52501),x52502)) % 166.52/166.34 [5412]~P118(x54121)+E(f329(f329(f83(x54121),f329(f81(x54121),f80(x54121))),x54122),f329(f81(x54121),x54122)) % 166.52/166.34 [5457]E(f329(f77(a1),x54571),f80(a1))+~E(f329(f77(a1),f329(f329(f83(a1),x54571),x54572)),f80(a1)) % 166.52/166.34 [5545]~P96(x55451)+E(f329(f329(f82(x55451),f80(x55451)),f329(f108(x55451),x55452)),f329(f108(x55451),f329(f329(f23(a1),x55452),a102))) % 166.52/166.34 [5598]~P2(x55981)+E(f13(x55981,f329(f329(f311(x55981),x55982),f191(f918(x55981,a905)))),x55982) % 166.52/166.34 [5599]~P2(x55991)+E(f10(x55991,f329(f329(f311(x55991),x55992),f191(f918(x55991,a905)))),x55992) % 166.52/166.34 [5600]~P112(x56001)+E(f14(x56001,f329(f329(f311(x56001),x56002),f191(f918(x56001,a905)))),x56002) % 166.52/166.34 [5601]~P112(x56011)+E(f15(x56011,f329(f329(f311(x56011),x56012),f191(f918(x56011,a905)))),x56012) % 166.52/166.34 [5602]~P10(x56021)+E(f39(x56021,f329(f329(f311(x56021),x56022),f191(f918(x56021,a905)))),x56022) % 166.52/166.34 [5603]~P10(x56031)+E(f38(x56031,f329(f329(f311(x56031),x56032),f191(f918(x56031,a905)))),x56032) % 166.52/166.34 [5625]E(f329(f329(f82(a910),x56251),f329(f329(f23(a910),x56252),x56251)),x56252)+P1(f329(f329(f240(a910),x56252),x56251)) % 166.52/166.34 [5661]E(x56611,f118(x56612))+P1(f329(f329(f240(a910),f2(a910)),f329(f192(f911(x56612)),x56611))) % 166.52/166.34 [5788]~P112(x57881)+E(f11(x57881,f237(x57881),f329(f329(f311(x57881),x57882),f191(f918(x57881,a905)))),x57882) % 166.52/166.34 [5789]~P112(x57891)+E(f12(x57891,f238(x57891),f329(f329(f311(x57891),x57892),f191(f918(x57891,a905)))),x57892) % 166.52/166.34 [5850]E(f329(f329(f82(a910),x58501),f329(f329(f23(a910),x58502),x58501)),x58502)+~P1(f329(f329(f239(a910),x58501),x58502)) % 166.52/166.34 [5851]E(f329(f329(f23(a910),x58511),f329(f329(f23(a910),x58511),x58512)),x58512)+~P1(f329(f329(f239(a910),x58512),x58511)) % 166.52/166.34 [5872]E(f46(a910,f329(f329(f23(a910),x58721),x58722),x58722),f46(a910,x58721,x58722))+P1(f329(f329(f240(a910),x58721),x58722)) % 166.52/166.34 [5883]E(f329(f81(a1),f329(f329(f37(a1),x58831),f329(f81(a1),x58832))),f294(x58831,x58832))+P1(f329(f329(f239(a1),f2(a1)),x58832)) % 166.52/166.34 [5885]~E(x58852,f2(a910))+P1(f329(f329(f240(a910),f2(a910)),f329(f329(f249(a910),x58851),x58852))) % 166.52/166.34 [5941]~P96(x59411)+E(f329(f329(f82(x59411),f329(f81(x59411),f80(x59411))),f329(f108(x59411),x59412)),f329(f108(x59411),f329(f329(f82(a1),x59412),a102))) % 166.52/166.34 [5942]E(f329(f329(f249(a910),f329(f108(a910),x59421)),x59422),f329(f329(f249(a910),f2(a910)),x59422))+~P1(f329(a196,f329(f108(a1),x59421))) % 166.52/166.34 [6043]E(f329(f144(a910),f142(a910,f329(f304(a910,x60431),x60432))),x60431)+~P1(f329(f329(f240(a910),x60431),x60432)) % 166.52/166.34 [6060]E(f329(f329(f83(a910),f329(f108(a910),x60601)),f329(f108(a910),x60602)),f329(f108(a910),f329(f329(f83(a1),x60601),x60602)))+P1(f329(f329(f240(a1),x60601),a85)) % 166.52/166.34 [6066]~P129(x60661)+P1(f329(f329(f239(x60661),f2(x60661)),f329(f329(f83(x60661),x60662),x60662))) % 166.52/166.34 [6078]E(f329(f329(f23(a910),f329(a117,x60781)),x60782),f329(a117,f329(f329(f23(a910),x60781),x60782)))+~P1(f329(f329(f239(a910),x60782),x60781)) % 166.52/166.34 [6081]E(f46(a910,f329(f329(f23(a910),x60811),x60812),x60812),f46(a910,x60811,x60812))+~P1(f329(f329(f239(a910),x60812),x60811)) % 166.52/166.34 [6137]E(f329(f329(f249(a910),f329(a109,x61371)),x61372),f329(a109,f329(f329(f249(a1),x61371),x61372)))+~P1(f329(f329(f239(a1),f2(a1)),x61371)) % 166.52/166.34 [6155]P1(f329(f140(x61551),x61552))+P1(f329(f329(f240(a910),f690(x61552,x61551)),f329(f192(f911(x61551)),x61552))) % 166.52/166.34 [6156]P1(f329(f140(x61561),x61562))+P1(f329(f329(f240(a910),f694(x61562,x61561)),f329(f192(f911(x61561)),x61562))) % 166.52/166.34 [6171]~E(x61711,f118(x61712))+~P1(f329(f329(f240(a910),f2(a910)),f329(f192(f911(x61712)),x61711))) % 166.52/166.34 [6182]E(f147(a910,f142(a910,f329(f304(a910,x61821),x61822))),f329(f329(f23(a910),x61822),f80(a910)))+~P1(f329(f329(f240(a910),x61821),x61822)) % 166.52/166.34 [6185]E(f329(f329(f82(a1),x61851),f329(f105(a1),f329(a117,f342(x61852,x61851)))),x61852)+~P1(f329(f329(f240(a1),x61851),x61852)) % 166.52/166.34 [6192]E(x61921,f2(a910))+E(f329(f329(f83(a910),x61922),f329(f329(f249(a910),x61922),f329(f329(f23(a910),x61921),f80(a910)))),f329(f329(f249(a910),x61922),x61921)) % 166.52/166.34 [6221]E(f329(f329(f83(a910),f329(a109,x62211)),f329(a109,x62212)),f329(a109,f329(f329(f83(a1),x62211),x62212)))+~P1(f329(f329(f239(a1),f2(a1)),x62211)) % 166.52/166.34 [6222]E(f329(f329(f37(a910),f329(a109,x62221)),f329(a109,x62222)),f329(a109,f329(f329(f37(a1),x62221),x62222)))+~P1(f329(f329(f239(a1),f2(a1)),x62221)) % 166.52/166.34 [6236]~P116(x62361)+E(f329(f329(f82(x62361),x62362),x62362),f329(f329(f83(x62361),f329(f329(f82(x62361),f80(x62361)),f80(x62361))),x62362)) % 166.52/166.34 [6258]E(f329(f329(f23(a1),f329(f105(a1),x62581)),f329(f105(a1),x62582)),f329(f105(a1),f329(f329(f23(a910),x62581),x62582)))+~P1(f329(f329(f239(a910),x62582),x62581)) % 166.52/166.34 [6260]E(f329(f329(f257(a1,a1),f329(f108(a1),a102)),f329(f329(f82(a1),x62601),x62602)),f51(x62601,x62602))+~P1(f329(f329(f239(a1),x62602),f2(a1))) % 166.52/166.34 [6291]E(f182(x62911,x62912),f118(f911(x62911)))+P1(f329(f329(f331(f911(x62911)),f689(x62912,x62911)),f329(f175(f911(x62911)),x62912))) % 166.52/166.34 [6300]E(f121(a1,f329(f133(a1),x63001),f132(x63002,f329(f329(f82(a1),x63001),f80(a1)))),f132(x63002,x63001))+P1(f329(f329(f240(a1),x63002),x63001)) % 166.52/166.34 [6375]E(f329(f329(f154(a1),x63751),f181(f329(f329(f82(a1),x63751),f80(a1)),x63752)),f181(x63751,x63752))+~P1(f329(f329(f239(a1),x63751),x63752)) % 166.52/166.34 [6414]~P1(f329(f329(f240(a910),x64142),x64141))+P1(f329(f329(f240(a910),f2(a910)),f329(f329(f23(a910),x64141),x64142))) % 166.52/166.34 [6445]~P1(f329(f329(f240(a910),x64451),f329(a109,x64452)))+P1(f329(f329(f240(a1),f329(f105(a1),x64451)),x64452)) % 166.52/166.34 [6474]~P112(x64741)+E(f329(f329(f115(f918(x64741,a905)),f329(f285(x64741),x64742)),f329(f329(f311(x64741),x64742),f191(f918(x64741,a905)))),f329(f303(x64741),x64742)) % 166.52/166.34 [6475]~P1(f329(f329(f239(a1),f2(a1)),x64751))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f249(a1),x64751),x64752))) % 166.52/166.34 [6478]~P1(f329(f329(f240(a910),f2(a910)),x64781))+P1(f329(f329(f240(a910),f2(a910)),f329(f329(f249(a910),x64781),x64782))) % 166.52/166.34 [6508]~E(f329(x65081,f2(a910)),f2(a910))+E(f329(f329(f6(a910,a910),x65081),f305(a910,f329(a117,f2(a910)),x65082)),f329(f329(f6(a910,a910),x65081),f305(a910,f2(a910),x65082))) % 166.52/166.34 [6573]~P96(x65731)+E(f329(f329(f83(x65731),f329(f329(f82(x65731),f80(x65731)),f80(x65731))),f329(f108(x65731),x65732)),f329(f108(x65731),f329(f329(f82(a1),x65732),x65732))) % 166.52/166.34 [6588]E(f329(f329(f311(a1),x65881),f305(a1,f329(f329(f82(a1),x65881),f80(a1)),x65882)),f305(a1,x65881,x65882))+P1(f329(f329(f240(a1),x65882),x65881)) % 166.52/166.34 [6589]P1(f329(f329(f240(a910),x65891),f329(a109,x65892)))+~P1(f329(f329(f240(a1),f329(f105(a1),x65891)),x65892)) % 166.52/166.34 [6694]E(f329(a109,f329(f329(f37(a1),f329(f108(a1),x66941)),f329(f108(a1),x66942))),f329(f329(f37(a910),f329(f108(a910),x66941)),f329(f108(a910),x66942)))+P1(f329(a196,f329(f108(a1),x66941))) % 166.52/166.34 [6751]P1(f329(f329(f240(a910),x67511),x67512))+~P1(f329(f329(f240(a910),f2(a910)),f329(f329(f23(a910),x67512),x67511))) % 166.52/166.34 [6795]P1(f329(f329(f240(a910),f2(a910)),x67951))+~P1(f329(f329(f240(a910),f2(a910)),f329(f329(f83(a910),x67952),x67951))) % 166.52/166.34 [6796]P1(f329(f329(f240(a910),f2(a910)),x67961))+~P1(f329(f329(f240(a910),f2(a910)),f329(f329(f83(a910),x67961),x67962))) % 166.52/166.34 [6815]~P1(f329(f329(f239(a1),x68151),f2(a1)))+E(f329(f329(f83(a910),f329(a109,f329(f81(a1),x68151))),f329(a109,f329(f81(a1),x68152))),f329(a109,f329(f329(f83(a1),x68151),x68152))) % 166.52/166.34 [6870]~E(x68702,f191(f918(x68701,a905)))+P1(f329(f329(f239(f918(x68701,a905)),x68702),f329(f81(f918(x68701,a905)),x68702))) % 166.52/166.34 [6932]~P96(x69321)+E(f329(f329(f82(x69321),f329(f329(f82(x69321),f2(x69321)),f329(f108(x69321),x69322))),f329(f108(x69321),x69322)),f329(f108(x69321),f329(f329(f82(a1),x69322),x69322))) % 166.52/166.34 [6986]~P1(f329(f329(f240(a1),x69861),x69862))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x69861),f80(a1))),x69862)) % 166.52/166.34 [7053]E(x70531,f2(a910))+~P1(f329(f329(f239(a1),f329(f105(a1),x70532)),f329(f81(a1),f329(f105(a1),x70531)))) % 166.52/166.34 [7054]E(x70541,f2(a910))+~P1(f329(f329(f239(a1),f329(f105(a1),x70541)),f329(f81(a1),f329(f105(a1),x70542)))) % 166.52/166.34 [7154]E(f329(f329(f257(a1,a1),f329(f108(a1),a102)),f329(f329(f82(a1),x71541),x71542)),f51(x71541,x71542))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),x71541),x71542))) % 166.52/166.34 [7198]~P32(x71981,x71982)+P43(x71981,f329(f256(f918(f917(x71981,x71981),a905),f918(f917(x71981,x71981),a905)),x71982)) % 166.52/166.34 [7216]~P1(f329(f329(f239(a910),f329(a117,f2(a910))),x72161))+P1(f329(f329(f239(a910),f329(a117,f2(a910))),f329(f329(f249(a910),x72161),x72162))) % 166.52/166.34 [7397]~P1(f329(f329(f239(a1),x73971),x73972))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x73971),x73971)),f329(f329(f82(a1),x73972),x73972))) % 166.52/166.34 [7402]~P1(f329(f329(f240(a1),x74021),x74022))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x74021),x74021)),f329(f329(f82(a1),x74022),x74022))) % 166.52/166.34 [7463]~P1(f329(f329(f240(a910),f2(a910)),x74631))+P1(f329(f329(f240(a910),f329(f329(f23(a910),x74631),f329(a117,x74632))),x74631)) % 166.52/166.34 [7495]P1(f329(f329(f239(a910),f329(a117,f2(a910))),x74951))+~P1(f329(f329(f239(a910),f329(a117,f2(a910))),f329(f329(f83(a910),x74952),x74951))) % 166.52/166.34 [7496]P1(f329(f329(f239(a910),f329(a117,f2(a910))),x74961))+~P1(f329(f329(f239(a910),f329(a117,f2(a910))),f329(f329(f83(a910),x74961),x74962))) % 166.52/166.34 [7500]P1(f329(f329(f239(a910),f329(f329(f167(a910),x75001),x75002)),f329(f168(a910),x75001)))+~P1(f329(f329(f240(a910),x75002),f329(f192(f911(a910)),x75001))) % 166.52/166.34 [7541]P1(f329(f329(f240(a1),x75411),x75412))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x75411),f80(a1))),x75412)) % 166.52/166.34 [7587]P1(f329(f62(x75871),f247(f918(x75871,a905))))+~P1(f329(f62(f918(x75872,x75871)),f247(f918(f918(x75872,x75871),a905)))) % 166.52/166.34 [7588]P1(f329(f62(x75881),f247(f918(x75881,a905))))+~P1(f329(f62(f916(x75882,x75881)),f247(f918(f916(x75882,x75881),a905)))) % 166.52/166.34 [7589]P1(f329(f62(x75891),f247(f918(x75891,a905))))+~P1(f329(f62(f916(x75891,x75892)),f247(f918(f916(x75891,x75892),a905)))) % 166.52/166.34 [7628]E(x76281,f191(f918(x76282,a905)))+~P1(f329(f329(f239(f918(x76282,a905)),x76281),f329(f81(f918(x76282,a905)),x76281))) % 166.52/166.34 [7765]E(f329(f145(f911(x77651),f911(x77651),f137(x77651),f118(x77651)),x77652),f118(x77651))+P1(f329(f329(f331(f911(x77651)),f724(x77652,x77651)),f329(f175(f911(x77651)),x77652))) % 166.52/166.34 [7766]E(f329(f145(f911(x77661),f911(x77661),f137(x77661),f118(x77661)),x77662),f118(x77661))+P1(f329(f329(f331(f911(x77661)),f725(x77662,x77661)),f329(f175(f911(x77661)),x77662))) % 166.52/166.34 [8008]P1(f329(f329(f239(a1),x80081),x80082))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x80081),x80081)),f329(f329(f82(a1),x80082),x80082))) % 166.52/166.34 [8013]P1(f329(f329(f240(a1),x80131),x80132))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x80131),x80131)),f329(f329(f82(a1),x80132),x80132))) % 166.52/166.34 [8109]~P116(x81091)+E(f329(f329(f83(x81091),f329(f329(f82(x81091),f80(x81091)),f80(x81091))),f329(f329(f6(a910,x81091),f105(x81091)),f305(a910,f80(a910),x81092))),f329(f329(f83(x81091),f329(f105(x81091),x81092)),f329(f329(f82(x81091),f329(f105(x81091),x81092)),f80(x81091)))) % 166.52/166.34 [8166]P1(f329(f329(f331(a910),x81661),x81662))+~P1(f329(f329(f331(a1),f329(f105(a1),x81661)),f329(f312(a910,a1,f105(a1)),x81662))) % 166.52/166.34 [8323]~P1(f329(f62(x83231),x83232))+E(f329(f312(a910,x83231,f408(x83232,x83231)),f329(f267(a910),f329(f329(f7(a910,a910,a905),f240(a910)),f409(x83232,x83231)))),x83232) % 166.52/166.34 [8614]P61(x86141,x86142)+P1(f329(f329(f331(f917(x86141,x86141)),f329(f329(f257(x86141,x86141),f512(x86142,x86141)),f512(x86142,x86141))),x86142)) % 166.52/166.34 [8615]P44(x86151,x86152)+P1(f329(f329(f331(f917(x86151,x86151)),f329(f329(f257(x86151,x86151),f813(x86152,x86151)),f817(x86152,x86151))),x86152)) % 166.52/166.34 [8616]P44(x86161,x86162)+P1(f329(f329(f331(f917(x86161,x86161)),f329(f329(f257(x86161,x86161),f817(x86162,x86161)),f818(x86162,x86161))),x86162)) % 166.52/166.34 [8617]P45(x86171,x86172)+P1(f329(f329(f331(f917(x86171,x86171)),f329(f329(f257(x86171,x86171),f729(x86172,x86171)),f728(x86172,x86171))),x86172)) % 166.52/166.34 [8618]P45(x86181,x86182)+P1(f329(f329(f331(f917(x86181,x86181)),f329(f329(f257(x86181,x86181),f728(x86182,x86181)),f729(x86182,x86181))),x86182)) % 166.52/166.34 [8619]P59(x86191,x86192)+P1(f329(f329(f331(f917(x86191,x86191)),f329(f329(f257(x86191,x86191),f828(x86192,x86191)),f829(x86192,x86191))),x86192)) % 166.52/166.34 [8760]~P96(x87601)+E(f329(f329(f23(x87601),f80(x87601)),f329(f108(x87601),x87602)),f329(f108(x87601),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f81(a1),x87602)))) % 166.52/166.34 [8874]~P1(f329(f329(f240(f918(a910,a905)),x88741),x88742))+P1(f329(f329(f240(f918(a1,a905)),f329(f312(a910,a1,f105(a1)),x88741)),f329(f312(a910,a1,f105(a1)),x88742))) % 166.52/166.34 [8906]~P1(f329(f329(f240(a1),x89061),x89062))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x89061),x89061)),a102)),f329(f329(f82(a1),x89062),x89062))) % 166.52/166.34 [8908]~P1(f329(f329(f240(a1),x89081),x89082))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x89081),x89081)),a102)),f329(f329(f82(a1),x89082),x89082))) % 166.52/166.34 [8977]~P1(f329(f329(f331(a910),x89771),f329(f175(a910),x89772)))+P1(f329(f329(f239(a910),x89771),f329(f145(a910,a910,f82(a910),f2(a910)),x89772))) % 166.52/166.34 [9073]P53(x90731,x90732)+~P1(f329(f329(f331(f917(x90731,x90731)),f329(f329(f257(x90731,x90731),f506(x90732,x90731)),f506(x90732,x90731))),x90732)) % 166.52/166.34 [9074]P44(x90741,x90742)+~P1(f329(f329(f331(f917(x90741,x90741)),f329(f329(f257(x90741,x90741),f813(x90742,x90741)),f818(x90742,x90741))),x90742)) % 166.52/166.34 [9075]P59(x90751,x90752)+~P1(f329(f329(f331(f917(x90751,x90751)),f329(f329(f257(x90751,x90751),f829(x90752,x90751)),f828(x90752,x90751))),x90752)) % 166.52/166.34 [9215]~P1(f329(f329(f239(f918(a1,a905)),f329(f312(a910,a1,f105(a1)),x92151)),f329(f312(a910,a1,f105(a1)),x92152)))+P1(f329(f329(f239(f918(a910,a905)),x92151),x92152)) % 166.52/166.34 [9216]~P1(f329(f329(f240(f918(a1,a905)),f329(f312(a910,a1,f105(a1)),x92161)),f329(f312(a910,a1,f105(a1)),x92162)))+P1(f329(f329(f240(f918(a910,a905)),x92161),x92162)) % 166.52/166.34 [9311]P1(f329(f329(f240(a1),x93111),x93112))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x93111),x93111)),a102)),f329(f329(f82(a1),x93112),x93112))) % 166.52/166.34 [9313]P1(f329(f329(f240(a1),x93131),x93132))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x93131),x93131)),a102)),f329(f329(f82(a1),x93132),x93132))) % 166.52/166.34 [10181]~P107(x101811)+E(f121(f911(x101811),f329(f133(f911(x101811)),f118(x101811)),f329(f329(f329(f99(f912(f911(x101811))),f329(f329(f240(a1),f2(a1)),x101812)),f329(f123(f917(x101811,f911(x101811)),f911(x101811),f134(x101811,f911(x101811),f135(x101811,f329(f329(f23(a1),x101812),f80(a1))),f135(f911(x101811),f329(f329(f23(a1),x101812),f80(a1))))),f329(f262(x101811,f911(x101811),f912(f911(x101811))),f329(f329(f8(f918(f911(x101811),f911(x101811)),f918(f911(x101811),f912(f911(x101811))),x101811),f329(f8(f911(x101811),f912(f911(x101811)),f911(x101811)),f133(f911(x101811)))),f154(x101811))))),f120(f911(x101811)))),f135(f911(x101811),x101812)) % 166.52/166.34 [10203]~P1(f329(f62(x102031),x102032))+E(f329(f192(f911(x102031)),f92(f911(x102031),f329(f329(f18(f911(x102031),a905,a905),f329(f329(f8(a905,f918(a905,a905),f911(x102031)),a327),f329(f329(f7(f911(x102031),f918(x102031,a905),a905),f329(f329(f8(f918(x102031,a905),f918(f918(x102031,a905),a905),f911(x102031)),a326),f175(x102031))),x102032))),f140(x102031)))),f218(x102031,x102032)) % 166.52/166.34 [6181]E(f329(f329(f82(a910),f329(f329(f23(a910),x61811),x61812)),x61812),x61811)+~P1(f329(f329(f239(a910),x61812),x61811)) % 166.52/166.34 [6254]E(f329(f329(f37(a910),f329(f329(f83(a910),x62541),x62542)),x62542),x62541)+~P1(f329(f329(f240(a910),f2(a910)),x62542)) % 166.52/166.34 [6255]E(f329(f329(f37(a910),f329(f329(f83(a910),x62551),x62552)),x62551),x62552)+~P1(f329(f329(f240(a910),f2(a910)),x62551)) % 166.52/166.34 [6259]~P5(x62591)+E(f329(f329(f6(a910,x62591),f329(f167(x62591),x62592)),f329(f304(a910,f2(a910)),f329(f192(f911(x62591)),x62592))),f329(f168(x62591),x62592)) % 166.52/166.34 [6367]E(f46(a910,f329(a117,f329(f329(f83(a910),x63671),x63672)),x63671),f80(a910))+~P1(f329(f329(f240(a910),f80(a910)),x63671)) % 166.52/166.34 [6373]E(f329(a117,f329(f329(f82(a910),f329(f108(a910),x63731)),x63732)),f329(f329(f82(a910),f80(a910)),x63732))+~P1(f329(a196,f329(f108(a1),x63731))) % 166.52/166.34 [6402]E(f329(a109,f329(f329(f249(a1),f329(f108(a1),x64021)),x64022)),f329(f329(f249(a910),f329(f108(a910),x64021)),x64022))+P1(f329(a196,f329(f108(a1),x64021))) % 166.52/166.34 [6644]E(f329(f329(f23(a910),x66441),f329(f108(a910),f329(f329(f82(a1),x66442),a102))),f329(f329(f23(a910),f329(a117,x66441)),f329(f108(a910),x66442)))+~P1(f329(f329(f240(a1),a85),x66442)) % 166.52/166.34 [6725]E(x67251,f2(a910))+E(f329(a117,f329(f329(f82(a910),f329(f329(f23(a910),x67251),f80(a910))),x67252)),f329(f329(f82(a910),x67251),x67252)) % 166.52/166.34 [6764]E(x67641,f2(a1))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x67641)),x67642))) % 166.52/166.34 [6780]~E(x67802,f2(a910))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x67801)),x67802))) % 166.52/166.34 [6818]E(x68181,f2(a910))+E(f329(f329(f82(a910),x68182),f329(f329(f83(a910),f329(f329(f23(a910),x68181),f80(a910))),x68182)),f329(f329(f83(a910),x68181),x68182)) % 166.52/166.34 [6863]~P1(f329(f329(f239(a1),x68631),x68632))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x68631),a102)),x68632)) % 166.52/166.34 [6989]E(f329(f329(f154(a910),x69891),f142(a910,f329(f304(a910,f329(a117,x69891)),x69892))),f142(a910,f329(f304(a910,x69891),x69892)))+~P1(f329(f329(f240(a910),x69891),x69892)) % 166.52/166.34 [7189]E(x71891,x71892)+~E(f329(f329(f23(a1),f329(f329(f82(a1),x71891),x71891)),a102),f329(f329(f23(a1),f329(f329(f82(a1),x71892),x71892)),a102)) % 166.52/166.34 [7192]E(x71921,f118(x71922))+E(f271(x71922,f329(f329(f157(x71922,f917(a104,x71922)),f329(f257(a104,x71922),f80(a104))),x71921)),f278(x71922,x71921)) % 166.52/166.34 [7429]P1(f329(f329(f239(a1),x74291),x74292))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74291),a102)),x74292)) % 166.52/166.34 [7908]~P1(f329(f329(f240(a910),x79081),x79082))+P1(f329(f329(f331(f917(a910,a910)),f329(f329(f257(a910,a910),x79081),x79082)),a245)) % 166.52/166.34 [8138]~P1(f329(f329(f240(a104),f2(a104)),x81381))+P1(f329(f329(f240(a104),f329(f256(a104,f917(a104,a104)),f329(f272(x81381),x81382))),x81381)) % 166.52/166.34 [8405]~P44(x84051,x84052)+P44(x84051,f329(f329(f115(f918(f917(x84051,x84051),a905)),x84052),f309(x84051,f191(f918(f917(x84051,x84051),a905))))) % 166.52/166.34 [8406]~P45(x84061,x84062)+P45(x84061,f329(f329(f115(f918(f917(x84061,x84061),a905)),x84062),f309(x84061,f191(f918(f917(x84061,x84061),a905))))) % 166.52/166.34 [8456]~P89(x84561)+P1(f329(f329(f239(x84561),f329(f77(x84561),f329(f168(x84561),x84562))),f329(f168(x84561),f329(f329(f157(x84561,x84561),f77(x84561)),x84562)))) % 166.52/166.34 [8480]P1(f329(f329(f240(a910),x84801),x84802))+~P1(f329(f329(f331(f917(a910,a910)),f329(f329(f257(a910,a910),x84801),x84802)),a245)) % 166.52/166.34 [8643]E(f329(f329(f257(x86431,x86431),f617(x86432,x86431)),f617(x86432,x86431)),x86432)+~P1(f329(f329(f331(f917(x86431,x86431)),x86432),f309(x86431,f191(f918(f917(x86431,x86431),a905))))) % 166.52/166.34 [8685]E(f329(f304(a910,x86851),f329(f329(f82(a910),x86851),f329(f36(a910),x86852))),x86852)+~P1(f329(f329(f239(f918(a910,a905)),x86852),f329(f304(a910,x86851),f329(f329(f82(a910),x86851),f329(f36(a910),x86852))))) % 166.52/166.34 [8899]P45(x88991,x88992)+~P45(x88991,f329(f329(f115(f918(f917(x88991,x88991),a905)),x88992),f309(x88991,f191(f918(f917(x88991,x88991),a905))))) % 166.52/166.34 [9023]E(f329(f329(f37(a1),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x90231),x90231)),a102))),f329(f108(a1),f329(f329(f82(a1),x90232),x90232))),f329(f329(f37(a1),f329(f108(a1),x90231)),f329(f108(a1),x90232)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x90232))) % 166.52/166.34 [9117]~P44(x91171,x91172)+P1(f329(f329(f239(f918(f917(x91171,x91171),a905)),f329(f329(f291(x91171,x91171,x91171),x91172),x91172)),x91172)) % 166.52/166.34 [9144]E(f180(f911(x91441),f329(f329(f8(a905,a905,f911(x91441)),a324),f329(f329(f7(f911(x91441),f911(x91441),a905),a326),f118(x91441))),x91442),f182(x91441,f182(x91441,x91442)))+~P18(a910,f329(f171(a910),f329(f329(f157(f911(x91441),a910),f192(f911(x91441))),x91442))) % 166.52/166.34 [9147]E(f329(f329(f37(a1),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x91471),x91471)),a102))),f329(f108(a1),f329(f329(f82(a1),x91472),x91472))),f329(f329(f37(a1),f329(f329(f82(a1),f329(f108(a1),x91471)),f80(a1))),f329(f108(a1),x91472)))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x91472))) % 166.52/166.34 [9990]P1(f329(a196,x99902))+E(f329(f329(f88(a1,a910),f329(f329(f23(a1),x99901),x99902)),f329(f329(f18(a1,a910,a910),f329(f329(f7(a1,a910,f918(a910,a910)),f329(f329(f8(a905,f918(a910,f918(a910,a910)),a1),f99(a910)),a196)),f2(a910))),a109)),f329(f329(f23(a910),f329(a109,x99901)),f329(a109,x99902))) % 166.52/166.34 [9998]E(f329(f329(f88(a1,a910),f329(f108(a1),f329(f329(f82(a1),x99981),f329(f81(a1),x99982)))),f329(f329(f18(a1,a910,a910),f329(f329(f7(a1,a910,f918(a910,a910)),f329(f329(f8(a905,f918(a910,f918(a910,a910)),a1),f99(a910)),a196)),f2(a910))),a109)),f329(f329(f23(a910),f329(f108(a910),x99981)),f329(f108(a910),x99982)))+P1(f329(f329(f240(a1),x99982),a85)) % 166.52/166.34 [9999]~P32(x99991,x99992)+P1(f329(f329(f239(f918(f917(x99991,x99991),a905)),f329(f329(f291(x99991,x99991,x99991),f329(f256(f918(f917(x99991,x99991),a905),f918(f917(x99991,x99991),a905)),x99992)),f329(f261(f918(f917(x99991,x99991),a905),f918(f917(x99991,x99991),a905)),x99992))),f329(f256(f918(f917(x99991,x99991),a905),f918(f917(x99991,x99991),a905)),x99992))) % 166.52/166.34 [10056]~E(f329(f36(a910),f329(f267(a910),f329(f329(f18(a910,a905,a905),f329(f329(f8(a905,f918(a905,a905),a910),a327),f329(f329(f7(a910,f918(a910,a905),a905),f331(a910)),x100561))),f329(f329(f7(a910,a910,a905),f240(a910)),f329(a117,x100562))))),f2(a910))+~P1(f329(f329(f331(a910),f2(a910)),x100561)) % 166.52/166.34 [10111]E(f46(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(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)))),f46(a1,f329(f108(a1),x101111),f329(f108(a1),x101112)))),f80(a1)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x101112))) % 166.52/166.34 [10120]E(f46(a1,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x101201),x101201)),a102)),f329(f108(a1),f329(f329(f82(a1),x101202),x101202))),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)))),f46(a1,f329(f329(f82(a1),f329(f108(a1),x101201)),f80(a1)),f329(f108(a1),x101202)))),f80(a1)))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x101202))) % 166.52/166.34 [10169]~P10(x101691)+E(f38(x101691,f329(f267(x101691),f329(f329(f8(f918(x101691,a905),a905,x101691),f90(x101691)),f329(f329(f8(f918(x101691,a905),f918(x101691,a905),x101691),f329(f18(x101691,a905,a905),f329(f329(f8(a905,f918(a905,a905),x101691),a332),f329(f329(f7(x101691,f918(x101691,a905),a905),f331(x101691)),x101692)))),f239(x101691))))),f39(x101691,x101692)) % 166.52/166.34 [10196]~P43(x101961,x101962)+P67(x101961,f329(f329(f7(x101961,f918(f917(x101961,x101961),a905),f918(x101961,a905)),f329(f329(f8(f918(x101961,f918(f918(f917(x101961,x101961),a905),a905)),f918(f918(f917(x101961,x101961),a905),f918(x101961,a905)),x101961),f7(x101961,f918(f917(x101961,x101961),a905),a905)),f329(f329(f8(f918(x101961,f917(x101961,x101961)),f918(x101961,f918(f918(f917(x101961,x101961),a905),a905)),x101961),f329(f8(f917(x101961,x101961),f918(f918(f917(x101961,x101961),a905),a905),x101961),f331(f917(x101961,x101961)))),f257(x101961,x101961)))),x101962)) % 166.52/166.34 [10197]~P13(x101971,f247(f918(x101971,a905)),x101972)+P12(x101971,f329(f329(f7(x101971,f918(f917(x101971,x101971),a905),f918(x101971,a905)),f329(f329(f8(f918(x101971,f918(f918(f917(x101971,x101971),a905),a905)),f918(f918(f917(x101971,x101971),a905),f918(x101971,a905)),x101971),f7(x101971,f918(f917(x101971,x101971),a905),a905)),f329(f329(f8(f918(x101971,f917(x101971,x101971)),f918(x101971,f918(f918(f917(x101971,x101971),a905),a905)),x101971),f329(f8(f917(x101971,x101971),f918(f918(f917(x101971,x101971),a905),a905),x101971),f331(f917(x101971,x101971)))),f257(x101971,x101971)))),x101972)) % 166.52/166.34 [10241]P43(x102411,x102412)+~P67(x102411,f329(f329(f7(x102411,f918(f917(x102411,x102411),a905),f918(x102411,a905)),f329(f329(f8(f918(x102411,f918(f918(f917(x102411,x102411),a905),a905)),f918(f918(f917(x102411,x102411),a905),f918(x102411,a905)),x102411),f7(x102411,f918(f917(x102411,x102411),a905),a905)),f329(f329(f8(f918(x102411,f917(x102411,x102411)),f918(x102411,f918(f918(f917(x102411,x102411),a905),a905)),x102411),f329(f8(f917(x102411,x102411),f918(f918(f917(x102411,x102411),a905),a905),x102411),f331(f917(x102411,x102411)))),f257(x102411,x102411)))),x102412)) % 166.52/166.34 [10242]P13(x102421,f247(f918(x102421,a905)),x102422)+~P12(x102421,f329(f329(f7(x102421,f918(f917(x102421,x102421),a905),f918(x102421,a905)),f329(f329(f8(f918(x102421,f918(f918(f917(x102421,x102421),a905),a905)),f918(f918(f917(x102421,x102421),a905),f918(x102421,a905)),x102421),f7(x102421,f918(f917(x102421,x102421),a905),a905)),f329(f329(f8(f918(x102421,f917(x102421,x102421)),f918(x102421,f918(f918(f917(x102421,x102421),a905),a905)),x102421),f329(f8(f917(x102421,x102421),f918(f918(f917(x102421,x102421),a905),a905),x102421),f331(f917(x102421,x102421)))),f257(x102421,x102421)))),x102422)) % 166.52/166.34 [7377]E(f329(f329(f82(a910),f329(f108(a910),f329(f329(f23(a1),x73771),a102))),x73772),f329(a117,f329(f329(f82(a910),f329(f108(a910),x73771)),x73772)))+P1(f329(a196,f329(f108(a1),x73771))) % 166.52/166.34 [7823]~P96(x78231)+E(f329(f329(f82(x78231),f329(f329(f82(x78231),f80(x78231)),f329(f108(x78231),x78232))),f329(f108(x78231),x78232)),f329(f108(x78231),f329(f329(f23(a1),f329(f329(f82(a1),x78232),x78232)),a102))) % 166.52/166.34 [8482]~P1(f329(f329(f239(a1),x84821),x84822))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x84821),x84821)),f329(f329(f23(a1),f329(f329(f82(a1),x84822),x84822)),a102))) % 166.52/166.34 [8484]~P1(f329(f329(f239(a1),x84841),x84842))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x84841),x84841)),f329(f329(f23(a1),f329(f329(f82(a1),x84842),x84842)),a102))) % 166.52/166.34 [8910]P1(f329(f329(f239(a1),x89101),x89102))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x89101),x89101)),f329(f329(f23(a1),f329(f329(f82(a1),x89102),x89102)),a102))) % 166.52/166.34 [8912]P1(f329(f329(f239(a1),x89121),x89122))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x89121),x89121)),f329(f329(f23(a1),f329(f329(f82(a1),x89122),x89122)),a102))) % 166.52/166.34 [9204]~P1(f329(f329(f239(a1),x92041),x92042))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92041),x92041)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x92042),x92042)),a102))) % 166.52/166.34 [9206]~P1(f329(f329(f240(a1),x92061),x92062))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92061),x92061)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x92062),x92062)),a102))) % 166.52/166.34 [9480]P1(f329(f329(f239(a1),x94801),x94802))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x94801),x94801)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x94802),x94802)),a102))) % 166.52/166.34 [9482]P1(f329(f329(f240(a1),x94821),x94822))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x94821),x94821)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x94822),x94822)),a102))) % 166.52/166.34 [9514]~P1(f329(f62(x95141),x95142))+P1(f329(f62(f918(x95141,a905)),f329(f267(f918(x95141,a905)),f329(f329(f7(f918(x95141,a905),f918(x95141,a905),a905),f239(f918(x95141,a905))),x95142)))) % 166.52/166.34 [9564]~E(f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),x95641),f191(f918(f917(a910,a910),a905)))),f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),x95642),f191(f918(f917(a910,a910),a905)))))+P1(f329(f329(f331(f917(f917(a910,a910),f917(a910,a910))),f329(f329(f257(f917(a910,a910),f917(a910,a910)),x95641),x95642)),a113)) % 166.52/166.34 [9652]E(f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),x96521),f191(f918(f917(a910,a910),a905)))),f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),x96522),f191(f918(f917(a910,a910),a905)))))+~P1(f329(f329(f331(f917(f917(a910,a910),f917(a910,a910))),f329(f329(f257(f917(a910,a910),f917(a910,a910)),x96521),x96522)),a113)) % 166.52/166.34 [9687]P1(f329(f329(f239(a1),f2(a1)),f661(x96871,x96872)))+E(f329(f267(a1),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f239(a1),f2(a1)))),x96871)),f329(f267(a1),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f239(a1),f2(a1)))),x96872))) % 166.52/166.34 [10180]~P10(x101801)+E(f39(x101801,f329(f267(x101801),f329(f329(f8(f918(x101801,a905),a905,x101801),f90(x101801)),f329(f329(f8(f918(x101801,a905),f918(x101801,a905),x101801),f329(f18(x101801,a905,a905),f329(f329(f8(a905,f918(a905,a905),x101801),a332),f329(f329(f7(x101801,f918(x101801,a905),a905),f331(x101801)),x101802)))),f329(f7(x101801,x101801,a905),f239(x101801)))))),f38(x101801,x101802)) % 166.52/166.34 [10202]P1(f329(f329(f331(a910),f2(a910)),x102021))+E(f329(f36(a910),f329(f267(a910),f329(f329(f18(a910,a905,a905),f329(f329(f8(a905,f918(a905,a905),a910),a327),f329(f329(f7(a910,f918(a910,a905),a905),f329(f329(f8(a910,f918(f918(a910,a905),a905),a910),f331(a910)),a117)),x102021))),f329(f329(f7(a910,a910,a905),f240(a910)),x102022)))),f329(f36(a910),f329(f267(a910),f329(f329(f18(a910,a905,a905),f329(f329(f8(a905,f918(a905,a905),a910),a327),f329(f329(f7(a910,f918(a910,a905),a905),f331(a910)),x102021))),f329(f329(f7(a910,a910,a905),f240(a910)),f329(a117,x102022)))))) % 166.52/166.34 [7692]~P96(x76921)+E(f329(f329(f83(x76921),x76922),f329(f108(x76921),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),x76922) % 166.52/166.34 [7960]~P96(x79601)+E(f329(f329(f82(x79601),f329(f108(x79601),x79602)),f80(x79601)),f329(f108(x79601),f329(f329(f82(a1),x79602),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))) % 166.52/166.34 [8107]P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x81072)))+E(f329(f329(f249(a1),x81071),f329(f108(a910),f329(f329(f23(a1),f329(f329(f82(a1),x81072),x81072)),a102))),f80(a1)) % 166.52/166.34 [9538]~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x95382)))+E(f329(f329(f249(a1),x95381),f329(f108(a910),f329(f329(f23(a1),f329(f329(f82(a1),x95382),x95382)),a102))),f329(f329(f88(a1,a1),f329(f329(f249(a1),x95381),f329(f108(a910),x95382))),f329(f329(f18(a1,a1,a1),f329(f329(f8(a1,f918(a1,a1),a1),f83(a1)),f329(f83(a1),x95381))),f5(a1)))) % 166.52/166.34 [9911]~P1(f329(f329(f239(a910),f674(x99112,x99111)),f329(x99111,f674(x99112,x99111))))+P1(f329(f62(a910),f329(f267(a910),f329(f329(f7(a910,a910,a905),f329(f329(f8(a910,f918(a910,a905),a910),f239(a910)),x99111)),x99112)))) % 166.52/166.34 [10046]~P1(f329(f329(f239(a910),f329(f108(a910),x100461)),f329(a117,x100462)))+P1(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x100461),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a332),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f7(a1,a910,a905),f329(f329(f8(a910,f918(a910,a905),a1),f239(a910)),a109)),x100462)))) % 166.52/166.34 [10047]~P1(f329(f329(f240(a910),f329(f108(a910),x100471)),f329(a117,x100472)))+P1(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x100471),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a332),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f7(a1,a910,a905),f329(f329(f8(a910,f918(a910,a905),a1),f240(a910)),a109)),x100472)))) % 166.52/166.34 [10095]P1(f329(f329(f239(a910),f329(f108(a910),x100951)),f329(a117,x100952)))+~P1(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x100951),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a332),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f7(a1,a910,a905),f329(f329(f8(a910,f918(a910,a905),a1),f239(a910)),a109)),x100952)))) % 166.52/166.34 [10096]P1(f329(f329(f240(a910),f329(f108(a910),x100961)),f329(a117,x100962)))+~P1(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x100961),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a332),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f7(a1,a910,a905),f329(f329(f8(a910,f918(a910,a905),a1),f240(a910)),a109)),x100962)))) % 166.52/166.34 [10126]~P1(f329(f329(f239(a910),f329(a117,x101262)),f329(f108(a910),x101261)))+P1(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x101261),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a332),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f8(a910,a905,a1),f329(f239(a910),x101262)),a109))))) % 166.52/166.34 [10127]~P1(f329(f329(f240(a910),f329(a117,x101272)),f329(f108(a910),x101271)))+P1(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x101271),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a332),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f8(a910,a905,a1),f329(f240(a910),x101272)),a109))))) % 166.52/166.34 [10167]P1(f329(f329(f239(a910),f329(a117,x101671)),f329(f108(a910),x101672)))+~P1(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x101672),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a332),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f8(a910,a905,a1),f329(f239(a910),x101671)),a109))))) % 166.52/166.34 [10168]P1(f329(f329(f240(a910),f329(a117,x101681)),f329(f108(a910),x101682)))+~P1(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x101682),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a332),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f8(a910,a905,a1),f329(f240(a910),x101681)),a109))))) % 166.52/166.34 [10251]~P1(f329(f329(f331(a910),f2(a910)),x102511))+E(f329(a117,f329(f36(a910),f329(f267(a910),f329(f329(f18(a910,a905,a905),f329(f329(f8(a905,f918(a905,a905),a910),a327),f329(f329(f7(a910,f918(a910,a905),a905),f329(f329(f8(a910,f918(f918(a910,a905),a905),a910),f331(a910)),a117)),x102511))),f329(f329(f7(a910,a910,a905),f240(a910)),x102512))))),f329(f36(a910),f329(f267(a910),f329(f329(f18(a910,a905,a905),f329(f329(f8(a905,f918(a905,a905),a910),a327),f329(f329(f7(a910,f918(a910,a905),a905),f331(a910)),x102511))),f329(f329(f7(a910,a910,a905),f240(a910)),f329(a117,x102512)))))) % 166.52/166.34 [8669]~P96(x86691)+E(f329(f329(f83(x86691),f329(f108(x86691),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),x86692),x86692) % 166.52/166.34 [8728]~P96(x87281)+E(f329(f329(f82(x87281),f80(x87281)),f329(f108(x87281),x87282)),f329(f108(x87281),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x87282))) % 166.52/166.34 [8787]~P96(x87871)+E(f329(f329(f23(x87871),f329(f108(x87871),x87872)),f80(x87871)),f329(f108(x87871),f329(f329(f82(a1),x87872),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.52/166.34 [8927]~P1(f329(f329(f240(a910),f329(f108(a910),a85)),x89272))+E(f329(f329(f23(a910),x89271),f329(f329(f23(a910),x89272),f329(f108(a910),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f23(a910),f329(a117,x89271)),x89272)) % 166.52/166.34 [9582]~P116(x95821)+E(f329(f329(f83(x95821),x95822),x95822),f329(f329(f249(x95821),x95822),f329(f108(a910),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))))) % 166.52/166.34 [9583]~P88(x95831)+E(f329(f329(f249(x95831),x95832),f329(f108(a910),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(x95831),x95832),x95832)) % 166.52/166.34 [9585]~P96(x95851)+E(f329(f329(f83(x95851),x95852),f329(f108(x95851),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(x95851),x95852),x95852)) % 166.52/166.34 [9828]~P123(x98281)+E(f329(f329(f249(x98281),f329(f77(x98281),x98282)),f329(f108(a910),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(x98281),x98282),f329(f108(a910),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))))) % 166.52/166.34 [9829]~P120(x98291)+E(f329(f329(f249(x98291),f329(f81(x98291),x98292)),f329(f108(a910),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(x98291),x98292),f329(f108(a910),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))))) % 166.52/166.34 [9825]~P96(x98251)+E(f329(f329(f83(x98251),f329(f108(x98251),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)))),x98252),f329(f329(f82(x98251),x98252),x98252)) % 166.52/166.34 [9945]~P123(x99451)+E(f329(f77(x99451),f329(f329(f249(x99451),x99452),f329(f108(a910),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(x99451),x99452),f329(f108(a910),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))))) % 166.52/166.34 [10006]~P123(x100061)+P1(f329(f329(f239(x100061),f2(x100061)),f329(f329(f249(x100061),x100062),f329(f108(a910),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)))))) % 166.52/166.34 [10158]~E(f329(a117,x101582),f329(f108(a910),x101581))+P1(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x101581),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a332),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f7(a1,a910,a905),f329(f329(f8(a910,f918(a910,a905),a1),a326),a109)),x101582))))) % 166.52/166.34 [10159]~E(f329(f108(a910),x101591),f329(a117,x101592))+P1(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x101591),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a332),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f7(a1,a910,a905),f329(f329(f8(a910,f918(a910,a905),a1),a326),a109)),x101592))))) % 166.52/166.34 [10205]E(f329(a117,x102051),f329(f108(a910),x102052))+~P1(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x102052),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a332),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f7(a1,a910,a905),f329(f329(f8(a910,f918(a910,a905),a1),a326),a109)),x102051))))) % 166.52/166.34 [10206]E(f329(f108(a910),x102061),f329(a117,x102062))+~P1(f329(f329(f88(a1,a905),f329(f108(a1),f329(f329(f82(a1),x102061),a102))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a332),f329(f329(f8(a905,a905,a1),a324),a196))),f329(f329(f7(a1,a910,a905),f329(f329(f8(a910,f918(a910,a905),a1),a326),a109)),x102062))))) % 166.52/166.34 [10252]~P20(x102521,x102522)+P1(f329(f329(f331(f918(x102521,a905)),f837(x102522,x102521)),f329(f329(f8(f918(x102521,a905),a905,f918(x102521,a905)),f89(x102521)),f329(f329(f8(f918(x102521,a905),f918(x102521,a905),f918(x102521,a905)),f329(f18(x102521,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102521),a327),f329(f329(f18(x102521,x102521,a905),x102522),f5(x102521))))),f329(f329(f7(f918(x102521,a905),f918(x102521,f918(x102521,a905)),f918(x102521,a905)),f329(f329(f8(f918(f918(x102521,a905),a905),f918(f918(x102521,f918(x102521,a905)),f918(x102521,a905)),f918(x102521,a905)),f8(f918(x102521,a905),a905,x102521)),a326)),x102522))))) % 166.52/166.34 [10004]~P96(x100041)+E(f329(f329(f249(x100041),f329(f108(x100041),a102)),f329(f329(f83(a910),f329(f108(a910),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)))),x100042)),f80(x100041)) % 166.52/166.34 [10005]~P120(x100051)+E(f329(f329(f249(x100051),f329(f81(x100051),f80(x100051))),f329(f329(f83(a910),f329(f108(a910),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)))),x100052)),f80(x100051)) % 166.52/166.34 [10008]~P88(x100081)+E(f329(f329(f249(x100081),x100082),f329(f108(a910),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(x100081),f329(f329(f83(x100081),x100082),x100082)),x100082)) % 166.52/166.34 [10185]~P1(f329(f329(f239(a1),f2(a1)),x101852))+E(f46(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)))),x101851)),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)))),x101852)),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)))),f46(a1,x101851,x101852)))) % 166.52/166.34 [10208]~P1(f329(f329(f239(a1),f2(a1)),x102082))+E(f329(f329(f37(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)))),x102081))),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)))),x102082)),f329(f329(f37(a1),x102081),x102082)) % 166.52/166.34 [10210]~P1(f329(f329(f239(a1),x102102),f2(a1)))+E(f329(f329(f37(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)))),x102101))),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)))),x102102)),f329(f329(f37(a1),f329(f329(f82(a1),x102101),f80(a1))),x102102)) % 166.52/166.34 [10211]~P1(f329(f329(f239(a1),x102112),f2(a1)))+E(f46(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)))),x102111)),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)))),x102112)),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)))),f46(a1,f329(f329(f82(a1),x102111),f80(a1)),x102112))),f80(a1))) % 166.52/166.34 [10086]~P96(x100861)+E(f329(f329(f249(x100861),f329(f108(x100861),a102)),f329(a117,f329(f329(f83(a910),f329(f108(a910),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)))),x100862))),f329(f108(x100861),a102)) % 166.52/166.34 [10088]~P120(x100881)+E(f329(f329(f249(x100881),f329(f81(x100881),f80(x100881))),f329(a117,f329(f329(f83(a910),f329(f108(a910),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)))),x100882))),f329(f81(x100881),f80(x100881))) % 166.52/166.34 [5046]P44(x50461,x50462)+~P13(x50461,x50463,x50462) % 166.52/166.34 [5048]P59(x50481,x50482)+~P13(x50481,x50483,x50482) % 166.52/166.34 [5221]~P13(x52211,x52212,x52213)+P60(x52211,x52212,x52213) % 166.52/166.34 [6237]E(x62371,x62372)+~P48(a25,x62371,x62373,x62372) % 166.52/166.34 [8181]~E(x81812,x81813)+P40(x81811,x81811,a326,x81812,x81813) % 166.52/166.34 [8741]E(x87411,x87412)+~P40(x87413,x87413,a326,x87411,x87412) % 166.52/166.34 [4853]E(f172(x48531,x48532,x48533),f118(x48531))+~E(x48532,f2(a910)) % 166.52/166.34 [5021]~E(f172(x50212,x50211,x50213),f118(x50212))+E(x50211,f2(a910)) % 166.52/166.34 [5226]~P43(x52261,x52263)+P43(x52261,f323(x52261,x52262,x52263)) % 166.52/166.34 [5337]~P36(x53371,x53372,x53373)+P37(a1,x53371,f181(x53372,x53373)) % 166.52/166.34 [5392]P33(x53921,x53922,x53923)+~P33(x53921,f329(a117,x53922),x53923) % 166.52/166.34 [5410]P36(x54101,x54102,x54103)+~P37(a1,x54101,f181(x54102,x54103)) % 166.52/166.34 [5480]~P13(x54801,x54802,x54803)+P13(f911(x54801),f164(x54801,x54802),f161(x54801,x54803)) % 166.52/166.34 [5481]~P60(x54811,x54812,x54813)+P60(f911(x54811),f164(x54811,x54812),f161(x54811,x54813)) % 166.52/166.34 [5590]P63(x55901,x55902,x55903)+~E(f583(x55903,x55902,x55901),f584(x55903,x55902,x55901)) % 166.52/166.34 [5591]P62(x55911,x55912,x55913)+~E(f598(x55913,x55912,x55911),f599(x55913,x55912,x55911)) % 166.52/166.34 [6547]P34(x65471,x65472,x65473)+~P33(x65471,f658(x65473,x65472,x65471),f781(x65473,x65472,x65471)) % 166.52/166.34 [4808]~E(f329(f171(x48082),x48081),x48083)+E(x48081,f329(f171(x48082),x48083)) % 166.52/166.34 [4809]~E(x48092,f329(f171(x48091),x48093))+E(f329(f171(x48091),x48092),x48093) % 166.52/166.34 [4859]E(x48591,x48592)+~E(f329(f171(x48593),x48591),f329(f171(x48593),x48592)) % 166.52/166.34 [5072]~P56(x50723,x50721)+P1(f329(f329(x50721,x50722),x50722)) % 166.52/166.34 [5073]~P12(x50733,x50731)+P1(f329(f329(x50731,x50732),x50732)) % 166.52/166.34 [5075]~P67(x50751,x50752)+P1(f329(f317(x50751,x50752),x50753)) % 166.52/166.34 [5139]~P43(x51391,x51392)+P43(f911(x51391),f329(f146(x51391,x51392),x51393)) % 166.52/166.34 [5144]~P1(f329(x51442,x51443))+~E(f329(f267(x51441),x51442),f191(f918(x51441,a905))) % 166.52/166.34 [5145]~P1(f329(x51452,x51453))+~E(f191(f918(x51451,a905)),f329(f267(x51451),x51452)) % 166.52/166.34 [5157]E(x51571,f2(a910))+E(f147(x51572,f172(x51572,x51571,x51573)),x51573) % 166.52/166.34 [5175]~P1(f329(x51751,x51753))+P1(f329(x51751,f92(x51752,x51751))) % 166.52/166.34 [5176]~P1(f329(x51761,x51763))+P1(f329(x51761,f760(x51761,x51762))) % 166.52/166.34 [5188]E(x51881,f2(a910))+E(f329(f144(x51882),f172(x51882,x51881,x51883)),x51883) % 166.52/166.34 [5300]~E(x53002,x53003)+P1(f329(f329(f331(x53001),x53002),f329(a326,x53003))) % 166.52/166.34 [5315]~E(x53152,f2(a910))+E(f329(f175(x53151),f172(x53151,x53152,x53153)),f191(f918(x53151,a905))) % 166.52/166.34 [5359]E(f329(f171(x53591),x53592),f329(f329(f154(x53591),x53593),f118(x53591)))+~E(x53592,f329(f329(f154(x53591),x53593),f118(x53591))) % 166.52/166.34 [5360]~E(x53603,f329(f329(f154(x53601),x53602),f118(x53601)))+E(f329(f329(f154(x53601),x53602),f118(x53601)),f329(f171(x53601),x53603)) % 166.52/166.34 [5406]~P39(x54061,x54062,x54063)+P39(x54061,x54062,f329(f171(x54061),x54063)) % 166.52/166.34 [5407]~P37(x54071,x54072,x54073)+P37(x54071,x54072,f329(f171(x54071),x54073)) % 166.52/166.34 [5411]E(f329(f36(x54111),f847(x54112,x54113,x54111)),x54112)+~E(f329(f36(x54111),x54113),f329(a117,x54112)) % 166.52/166.34 [5418]~P43(x54181,x54183)+P1(f329(f329(f331(x54181),x54182),f318(x54181,x54183))) % 166.52/166.34 [5422]~E(f329(f171(x54222),x54221),f329(f329(f154(x54222),x54223),f118(x54222)))+E(x54221,f329(f329(f154(x54222),x54223),f118(x54222))) % 166.52/166.34 [5423]~E(f329(f329(f154(x54232),x54233),f118(x54232)),f329(f171(x54232),x54231))+E(x54231,f329(f329(f154(x54232),x54233),f118(x54232))) % 166.52/166.34 [5446]E(f87(f917(a910,a910),f49(x54461,x54462)),x54463)+~P1(f329(f49(x54461,x54462),x54463)) % 166.52/166.34 [5484]P39(x54841,x54842,x54843)+~P39(x54841,x54842,f329(f171(x54841),x54843)) % 166.52/166.34 [5485]P37(x54851,x54852,x54853)+~P37(x54851,x54852,f329(f171(x54851),x54853)) % 166.52/166.34 [5544]~E(x55442,f118(x55441))+P1(f329(f329(f331(f911(x55441)),x55442),f164(x55441,x55443))) % 166.52/166.34 [5553]~P60(x55531,x55532,x55533)+P60(x55531,x55532,f329(f289(x55531,x55531),x55533)) % 166.52/166.34 [5554]~P63(x55541,x55542,x55543)+P63(x55541,x55542,f329(f289(x55541,x55541),x55543)) % 166.52/166.34 [5571]~P68(x55711)+E(f46(x55711,f46(x55711,x55712,x55713),x55713),f46(x55711,x55712,x55713)) % 166.52/166.34 [5672]E(x56721,x56722)+~P1(f329(f329(f331(x56723),x56721),f329(a326,x56722))) % 166.52/166.34 [5719]~P109(x57191)+E(f193(x57191,x57192,f2(a910),x57193),x57193) % 166.52/166.34 [5741]P60(x57411,x57412,x57413)+~P60(x57411,x57412,f329(f289(x57411,x57411),x57413)) % 166.52/166.34 [5742]P63(x57421,x57422,x57423)+~P63(x57421,x57422,f329(f289(x57421,x57421),x57423)) % 166.52/166.34 [5746]~P112(x57462)+E(f153(x57461,x57462,x57463,f118(x57461)),f118(x57461)) % 166.52/166.34 [5759]E(f173(x57591,x57592,f155(x57591,x57593)),f155(x57591,f173(x57591,x57592,x57593)))+~P1(f329(f140(x57591),x57593)) % 166.52/166.34 [5859]E(f329(f139(x58591,x58592),x58593),f118(x58591))+P1(f329(x58592,f722(x58593,x58592,x58591))) % 166.52/166.34 [5917]E(f69(x59171,x59172,x59173),x59172)+P1(f329(x59173,f761(x59172,x59171,x59173))) % 166.52/166.34 [6011]~P1(f329(f140(x60111),x60112))+P1(f329(f140(x60111),f179(x60111,x60112,x60113))) % 166.52/166.34 [6012]~P1(f329(f140(x60121),x60123))+P1(f329(f140(x60121),f173(x60121,x60122,x60123))) % 166.52/166.34 [6013]~P1(f329(f140(x60131),x60133))+P1(f329(f140(x60131),f180(x60131,x60132,x60133))) % 166.52/166.34 [6014]~P1(f329(f140(x60141),x60143))+P1(f329(f140(x60141),f143(x60141,x60142,x60143))) % 166.52/166.34 [6015]~P148(x60151,x60152,x60153)+P1(f329(x60151,f46(a1,x60152,x60153))) % 166.52/166.34 [6031]~P39(x60313,x60311,x60312)+P1(f329(x60311,f773(x60312,x60311,x60313))) % 166.52/166.34 [6032]~P41(x60323,x60321,x60322)+P1(f329(x60321,f779(x60322,x60321,x60323))) % 166.52/166.34 [6033]~P41(x60333,x60331,x60332)+P1(f329(x60331,f793(x60332,x60331,x60333))) % 166.52/166.34 [6034]~P39(x60343,x60341,x60342)+P1(f329(x60341,f820(x60341,x60342,x60343))) % 166.52/166.34 [6035]~P39(x60353,x60351,x60352)+P1(f329(x60351,f821(x60352,x60351,x60353))) % 166.52/166.34 [6054]E(f329(f139(x60541,x60542),x60543),f180(x60541,x60542,x60543))+P1(f329(x60542,f744(x60543,x60542,x60541))) % 166.52/166.34 [6097]~P1(f329(f140(x60971),x60973))+P1(f329(f140(f911(x60971)),f56(x60971,x60972,x60973))) % 166.52/166.34 [6131]~P114(x61311)+E(f329(f329(f106(f918(x61311,a905)),f329(f285(x61311),x61312)),f305(x61311,x61312,x61313)),f191(f918(x61311,a905))) % 166.52/166.34 [6132]~P114(x61321)+E(f329(f329(f106(f918(x61321,a905)),f329(f303(x61321),x61322)),f307(x61321,x61322,x61323)),f191(f918(x61321,a905))) % 166.52/166.34 [6133]~P114(x61331)+E(f329(f329(f106(f918(x61331,a905)),f329(f303(x61331),x61332)),f308(x61331,x61332,x61333)),f191(f918(x61331,a905))) % 166.52/166.34 [6363]E(f329(f139(x63631,x63632),x63633),x63633)+~P1(f329(x63632,f723(x63633,x63632,x63631))) % 166.52/166.34 [6365]E(f329(f329(f311(x63651),f862(x63652,x63653,x63651)),f847(x63652,x63653,x63651)),x63653)+~E(f329(f36(x63651),x63653),f329(a117,x63652)) % 166.52/166.34 [6380]P148(x63801,x63802,x63803)+~P1(f329(x63801,f46(a1,x63802,x63803))) % 166.52/166.34 [6429]P37(x64291,x64292,x64293)+~P1(f329(x64292,f780(x64293,x64292,x64291))) % 166.52/166.34 [6430]P37(x64301,x64302,x64303)+~P1(f329(x64302,f790(x64302,x64303,x64301))) % 166.52/166.34 [6431]P37(x64311,x64312,x64313)+~P1(f329(x64312,f791(x64313,x64312,x64311))) % 166.52/166.34 [6432]P36(x64321,x64322,x64323)+~P1(f329(x64321,f805(x64323,x64322,x64321))) % 166.52/166.34 [6434]E(f180(x64341,x64342,x64343),x64343)+~P1(f329(x64342,f740(x64343,x64342,x64341))) % 166.52/166.34 [6516]~P1(f329(x65162,f355(x65163,x65162,x65161)))+P1(f329(f253(x65161,x65162),x65163)) % 166.52/166.34 [6517]~P1(f329(x65172,f696(x65173,x65172,x65171)))+P1(f329(f163(x65171,x65172),x65173)) % 166.52/166.34 [6765]~P1(f329(f317(x67651,x67652),f499(x67653,x67652,x67651)))+P1(f329(f317(x67651,x67652),x67653)) % 166.52/166.34 [6766]~P1(f329(f317(x67661,x67662),f509(x67663,x67662,x67661)))+P1(f329(f317(x67661,x67662),x67663)) % 166.52/166.34 [7378]~P68(x73781)+E(f329(f329(f82(x73781),f329(f329(f83(x73781),x73782),f329(f329(f37(x73781),x73783),x73782))),f46(x73781,x73783,x73782)),x73783) % 166.52/166.34 [7407]P36(x74071,x74072,x74073)+P1(f329(f329(f331(a1),f805(x74073,x74072,x74071)),f305(a1,x74072,x74073))) % 166.52/166.34 [7845]E(f329(f329(f257(x78451,x78451),f535(x78452,x78453,x78451)),f535(x78452,x78453,x78451)),x78453)+~P1(f329(f329(f331(f917(x78451,x78451)),x78453),f268(x78451,x78452))) % 166.52/166.34 [7968]~P1(f329(f329(f331(x79681),f536(x79683,x79682,x79681)),f318(x79681,x79683)))+P1(f329(f329(f331(x79681),x79682),f318(x79681,x79683))) % 166.52/166.34 [7969]~P1(f329(f329(f331(x79691),f585(x79693,x79692,x79691)),f318(x79691,x79693)))+P1(f329(f329(f331(x79691),x79692),f318(x79691,x79693))) % 166.52/166.34 [7970]~P1(f329(f329(f331(x79701),f587(x79703,x79702,x79701)),f318(x79701,x79703)))+P1(f329(f329(f331(x79701),x79702),f318(x79701,x79703))) % 166.52/166.34 [8064]P39(a1,x80641,f181(x80642,x80643))+P36(f329(f74(a905,a905,a1,a324),x80641),x80642,x80643) % 166.52/166.34 [8162]~P68(x81621)+E(f329(f329(f82(x81621),f329(f329(f83(x81621),f329(f329(f37(x81621),x81622),x81623)),x81623)),f46(x81621,x81622,x81623)),x81622) % 166.52/166.34 [8209]~E(f329(f36(x82091),x82092),f329(a117,x82093))+~P1(f329(f329(f331(x82091),f862(x82093,x82092,x82091)),f847(x82093,x82092,x82091))) % 166.52/166.34 [8661]~P39(a1,x86611,f181(x86612,x86613))+~P36(f329(f74(a905,a905,a1,a324),x86611),x86612,x86613) % 166.52/166.34 [8837]P1(f329(f329(f239(f918(f917(x88371,x88371),a905)),f309(x88371,x88372)),f309(x88371,x88373)))+~P1(f329(f329(f239(f918(f917(x88371,x88371),a905)),x88372),f309(x88371,x88373))) % 166.52/166.34 [9113]E(x91131,f118(x91132))+~P1(f329(f329(f331(f917(f911(x91132),f911(x91132))),f329(f329(f257(f911(x91132),f911(x91132)),x91131),f118(x91132))),f161(x91132,x91133))) % 166.52/166.34 [9138]E(x91381,f118(x91382))+~P1(f329(f329(f331(f917(f911(x91382),f911(x91382))),f329(f329(f257(f911(x91382),f911(x91382)),f118(x91382)),x91381)),f161(x91382,x91383))) % 166.52/166.34 [9273]E(f329(f329(f154(x92731),f713(x92732,x92733,x92731)),f714(x92732,x92733,x92731)),x92733)+~P1(f329(f329(f331(f917(f911(x92731),f911(x92731))),f329(f329(f257(f911(x92731),f911(x92731)),f118(x92731)),x92733)),f150(x92731,x92732))) % 166.52/166.34 [9507]~P129(x95071)+~P1(f329(f329(f240(x95071),f329(f329(f82(x95071),f329(f329(f83(x95071),x95072),x95072)),f329(f329(f83(x95071),x95073),x95073))),f2(x95071))) % 166.52/166.34 [9557]P1(f329(f62(x95571),x95572))+~P1(f329(f329(f331(f917(f918(x95571,a905),f918(x95571,a905))),f329(f329(f257(f918(x95571,a905),f918(x95571,a905)),x95573),x95572)),f316(x95571))) % 166.52/166.34 [9853]~P54(x98531,x98532,x98533)+P1(f329(f329(f239(a1),f329(f329(f74(f917(a1,a1),a1,x98531,f256(a1,a1)),f216(x98531)),f234(x98531,x98532,f231(x98531,x98533)))),f2(a1))) % 166.52/166.34 [9854]~P55(x98541,x98542,x98543)+P1(f329(f329(f240(a1),f329(f329(f74(f917(a1,a1),a1,x98541,f256(a1,a1)),f216(x98541)),f234(x98541,x98542,f231(x98541,x98543)))),f2(a1))) % 166.52/166.34 [9974]P55(x99741,x99742,x99743)+~P1(f329(f329(f240(a1),f329(f329(f74(f917(a1,a1),a1,x99741,f256(a1,a1)),f216(x99741)),f234(x99741,x99742,f231(x99741,x99743)))),f2(a1))) % 166.52/166.34 [9975]P54(x99751,x99752,x99753)+~P1(f329(f329(f239(a1),f329(f329(f74(f917(a1,a1),a1,x99751,f256(a1,a1)),f216(x99751)),f234(x99751,x99752,f231(x99751,x99753)))),f2(a1))) % 166.52/166.34 [10306]~P123(x103061)+~P1(f329(f329(f240(x103061),f329(f329(f82(x103061),f329(f329(f249(x103061),x103062),f329(f108(a910),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(x103061),x103063),f329(f108(a910),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(x103061))) % 166.52/166.34 [4838]~E(x48383,f118(x48381))+E(f329(f329(f137(x48381),x48382),x48383),x48382) % 166.52/166.34 [4839]~E(x48392,f118(x48391))+E(f329(f329(f137(x48391),x48392),x48393),x48393) % 166.52/166.34 [4845]~E(x48452,f2(a910))+E(f329(f329(f178(x48451),x48452),x48453),f118(x48451)) % 166.52/166.34 [4854]~E(x48543,f118(x48541))+E(f329(f329(f178(x48541),x48542),x48543),f118(x48541)) % 166.52/166.34 [4893]~E(x48931,x48933)+E(x48931,f329(f329(f137(x48932),f118(x48932)),x48933)) % 166.52/166.34 [4984]~P105(x49842)+E(f329(f191(f918(x49841,x49842)),x49843),f191(x49842)) % 166.52/166.34 [4985]~P115(x49852)+E(f329(f247(f918(x49851,x49852)),x49853),f247(x49852)) % 166.52/166.34 [5003]E(x50031,f118(x50032))+~E(f329(f329(f137(x50032),x50033),x50031),x50033) % 166.52/166.34 [5004]E(x50041,f118(x50042))+~E(f329(f329(f137(x50042),x50041),x50043),x50043) % 166.52/166.34 [5012]E(x50121,f118(x50122))+~E(f329(f329(f137(x50122),x50123),x50121),f118(x50122)) % 166.52/166.34 [5013]E(x50131,f118(x50132))+~E(f329(f329(f137(x50132),x50131),x50133),f118(x50132)) % 166.52/166.34 [5038]~E(x50382,f2(a910))+E(f329(f329(f83(a910),x50381),x50382),f329(f329(f83(a910),x50383),x50382)) % 166.52/166.34 [5040]~E(x50401,f2(a910))+E(f329(f329(f83(a910),x50401),x50402),f329(f329(f83(a910),x50401),x50403)) % 166.52/166.34 [5098]~P2(x50981)+E(f329(f329(f115(x50981),x50982),x50983),f329(f329(f115(x50981),x50983),x50982)) % 166.52/166.34 [5100]~P103(x51001)+E(f329(f329(f115(x51001),x51002),x51003),f329(f329(f115(x51001),x51003),x51002)) % 166.52/166.34 [5101]~P116(x51011)+E(f329(f329(f82(x51011),x51012),x51013),f329(f329(f82(x51011),x51013),x51012)) % 166.52/166.34 [5102]~P2(x51021)+E(f329(f329(f106(x51021),x51022),x51023),f329(f329(f106(x51021),x51023),x51022)) % 166.52/166.34 [5104]~P104(x51041)+E(f329(f329(f106(x51041),x51042),x51043),f329(f329(f106(x51041),x51043),x51042)) % 166.52/166.34 [5105]~P116(x51051)+E(f329(f329(f83(x51051),x51052),x51053),f329(f329(f83(x51051),x51053),x51052)) % 166.52/166.34 [5107]~P112(x51071)+E(f329(f329(f237(x51071),x51072),x51073),f329(f329(f237(x51071),x51073),x51072)) % 166.52/166.34 [5109]~P112(x51091)+E(f329(f329(f238(x51091),x51092),x51093),f329(f329(f238(x51091),x51093),x51092)) % 166.52/166.34 [5170]E(f46(a910,x51701,x51702),f2(a910))+~E(x51701,f329(f329(f83(a910),x51702),x51703)) % 166.52/166.34 [5171]E(f46(a1,x51711,x51712),f2(a1))+~E(x51711,f329(f329(f83(a1),x51712),x51713)) % 166.52/166.34 [5238]E(x52381,x52382)+~E(f329(f329(f82(a910),x52383),x52381),f329(f329(f82(a910),x52383),x52382)) % 166.52/166.34 [5239]E(x52391,x52392)+~E(f329(f329(f82(a910),x52391),x52393),f329(f329(f82(a910),x52392),x52393)) % 166.52/166.34 [5251]~P75(x52511)+E(f329(f329(f82(x52511),x52512),f329(f81(x52511),x52513)),f329(f329(f23(x52511),x52512),x52513)) % 166.52/166.34 [5252]~P79(x52521)+E(f329(f329(f82(x52521),x52522),f329(f81(x52521),x52523)),f329(f329(f23(x52521),x52522),x52523)) % 166.52/166.34 [5253]~P118(x52531)+E(f329(f329(f82(x52531),x52532),f329(f81(x52531),x52533)),f329(f329(f23(x52531),x52532),x52533)) % 166.52/166.34 [5254]~P98(x52541)+E(f329(f329(f106(x52541),x52542),f329(f81(x52541),x52543)),f329(f329(f23(x52541),x52542),x52543)) % 166.52/166.34 [5255]~P79(x52551)+E(f329(f329(f23(x52551),x52552),f329(f81(x52551),x52553)),f329(f329(f82(x52551),x52552),x52553)) % 166.52/166.34 [5294]~P1(f329(x52943,x52942))+P1(f329(f329(f331(x52941),x52942),x52943)) % 166.52/166.34 [5296]~P5(x52962)+E(f329(f329(f6(x52961,x52962),x52963),f191(f918(x52961,a905))),f2(x52962)) % 166.52/166.34 [5298]~P80(x52982)+E(f329(f329(f9(x52981,x52982),x52983),f191(f918(x52981,a905))),f80(x52982)) % 166.52/166.34 [5349]~E(x53492,f329(f329(f82(a910),x53491),x53493))+P1(f329(f329(f239(a910),x53491),x53492)) % 166.52/166.34 [5352]~E(x53522,f191(f918(x53521,a905)))+E(f329(f329(f61(x53521),x53522),x53523),f191(f918(f918(x53521,a905),a905))) % 166.52/166.34 [5353]~E(x53532,f191(f918(x53531,a905)))+E(f191(f918(f918(x53531,a905),a905)),f329(f329(f61(x53531),x53532),x53533)) % 166.52/166.34 [5426]~E(f329(f287(x54262,x54263),x54261),f191(f918(x54263,a905)))+E(x54261,f191(f918(f917(x54262,x54263),a905))) % 166.52/166.34 [5427]~E(f329(f269(x54272,x54273),x54271),f191(f918(x54272,a905)))+E(x54271,f191(f918(f917(x54272,x54273),a905))) % 166.52/166.34 [5459]E(f329(f287(x54591,x54592),x54593),f191(f918(x54592,a905)))+~E(x54593,f191(f918(f917(x54591,x54592),a905))) % 166.52/166.34 [5460]E(f329(f269(x54601,x54602),x54603),f191(f918(x54601,a905)))+~E(x54603,f191(f918(f917(x54601,x54602),a905))) % 166.52/166.34 [5463]E(f277(x54631,x54632,x54633),f329(f329(f23(a104),x54632),x54633))+P1(f329(f329(f240(a104),x54632),x54633)) % 166.52/166.34 [5478]P1(f329(x54781,x54782))+~P1(f329(f329(f331(x54783),x54782),x54781)) % 166.52/166.34 [5516]E(x55161,x55162)+~E(f329(f81(f918(x55163,a905)),x55161),f329(f81(f918(x55163,a905)),x55162)) % 166.52/166.34 [5525]~E(x55251,f191(f918(x55252,a905)))+~P1(f329(f329(f331(x55252),x55253),x55251)) % 166.52/166.34 [5555]~E(x55552,f329(f329(f82(a1),x55551),f329(f105(a1),x55553)))+P1(f329(f329(f239(a1),x55551),x55552)) % 166.52/166.34 [5569]E(f329(f329(f311(x55691),x55692),x55693),x55693)+~P1(f329(f329(f331(x55691),x55692),x55693)) % 166.52/166.34 [5580]E(x55801,f191(f918(x55802,a905)))+~E(f329(f329(f61(x55802),x55801),x55803),f191(f918(f918(x55802,a905),a905))) % 166.52/166.34 [5581]E(x55811,f191(f918(x55812,a905)))+~E(f191(f918(f918(x55812,a905),a905)),f329(f329(f61(x55812),x55811),x55813)) % 166.52/166.34 [5588]~P121(x55881)+E(f329(f329(f83(x55881),f329(f81(x55881),x55882)),f329(f81(x55881),x55883)),f329(f329(f83(x55881),x55882),x55883)) % 166.52/166.34 [5589]~P71(x55891)+E(f329(f329(f292(x55891),f329(f81(x55891),x55892)),f329(f81(x55891),x55893)),f329(f329(f292(x55891),x55892),x55893)) % 166.52/166.34 [5621]~P1(f329(x56213,x56212))+P1(f329(f329(f331(x56211),x56212),f329(f267(x56211),x56213))) % 166.52/166.34 [5646]E(x56461,f2(a910))+E(f329(f175(x56462),f172(x56462,x56461,x56463)),f329(f329(f311(x56462),x56463),f191(f918(x56462,a905)))) % 166.52/166.34 [5665]E(f173(x56651,x56652,x56653),x56653)+P1(f329(f329(f331(x56651),x56652),f329(f175(x56651),x56653))) % 166.52/166.34 [5750]~P1(f329(f140(x57501),x57503))+P1(f329(f140(x57501),f329(f139(x57501,x57502),x57503))) % 166.52/166.34 [5794]~P68(x57941)+E(f329(f329(f37(x57941),f46(x57941,x57942,x57943)),x57943),f2(x57941)) % 166.52/166.34 [5813]E(f179(x58131,f329(f329(f154(x58131),x58132),f118(x58131)),x58133),f118(x58131))+P1(f329(f329(f331(a910),f2(a910)),x58133)) % 166.52/166.34 [5819]E(x58191,f2(a910))+E(f329(f174(x58192),f172(x58192,x58191,x58193)),f172(x58192,f329(f329(f23(a910),x58191),f80(a910)),x58193)) % 166.52/166.34 [5869]E(f329(f329(f154(x58691),x58692),x58693),f143(x58691,x58692,x58693))+P1(f329(f329(f331(x58691),x58692),f329(f175(x58691),x58693))) % 166.52/166.34 [5878]E(x58781,x58782)+~E(f329(f329(f83(a910),f329(a117,x58783)),x58781),f329(f329(f83(a910),f329(a117,x58783)),x58782)) % 166.52/166.34 [5879]~E(x58792,f329(f329(f82(a1),x58791),f329(f105(a1),f329(a117,x58793))))+P1(f329(f329(f240(a1),x58791),x58792)) % 166.52/166.34 [5992]~E(x59923,f118(x59921))+E(f329(f329(f329(f186(f911(x59921),f911(x59921)),x59922),f170(x59921)),x59923),f118(x59921)) % 166.52/166.34 [5996]P1(f329(x59961,x59962))+~P1(f329(f329(f331(x59963),x59962),f329(f267(x59963),x59961))) % 166.52/166.34 [6026]E(x60261,x60262)+~E(f329(f329(f311(x60263),x60261),f191(f918(x60263,a905))),f329(f329(f311(x60263),x60262),f191(f918(x60263,a905)))) % 166.52/166.34 [6040]~P114(x60401)+E(f329(f329(f106(f918(x60401,a905)),f329(f285(x60401),x60402)),f329(f304(x60401,x60402),x60403)),f191(f918(x60401,a905))) % 166.52/166.34 [6080]E(f143(x60801,x60802,x60803),x60803)+~P1(f329(f329(f331(x60801),x60802),f329(f175(x60801),x60803))) % 166.52/166.34 [6105]~P86(x61051)+E(f329(f312(x61051,x61051,f81(x61051)),f329(f304(x61051,x61052),x61053)),f307(x61051,f329(f81(x61051),x61053),f329(f81(x61051),x61052))) % 166.52/166.34 [6116]E(f329(f192(f911(x61161)),f173(x61161,x61162,x61163)),f329(f192(f911(x61161)),x61163))+P1(f329(f329(f331(x61161),x61162),f329(f175(x61161),x61163))) % 166.52/166.34 [6170]~P114(x61701)+E(f329(f329(f106(f918(x61701,a905)),f329(f304(x61701,x61702),x61703)),f329(f286(x61701),x61703)),f191(f918(x61701,a905))) % 166.52/166.34 [6190]~P86(x61901)+E(f329(f312(x61901,x61901,f81(x61901)),f305(x61901,x61902,x61903)),f305(x61901,f329(f81(x61901),x61903),f329(f81(x61901),x61902))) % 166.52/166.34 [6191]~P86(x61911)+E(f329(f312(x61911,x61911,f81(x61911)),f308(x61911,x61912,x61913)),f308(x61911,f329(f81(x61911),x61913),f329(f81(x61911),x61912))) % 166.52/166.34 [6256]E(f179(x62561,f329(f329(f154(x62561),x62562),f118(x62561)),x62563),f329(f329(f154(x62561),x62562),f118(x62561)))+~P1(f329(f329(f331(a910),f2(a910)),x62563)) % 166.52/166.34 [6263]~P86(x62631)+E(f329(f312(x62631,x62631,f81(x62631)),f307(x62631,x62632,x62633)),f329(f304(x62631,f329(f81(x62631),x62633)),f329(f81(x62631),x62632))) % 166.52/166.34 [6283]~P69(x62831)+E(f46(x62831,f329(f81(x62831),f46(x62831,x62832,x62833)),x62833),f46(x62831,f329(f81(x62831),x62832),x62833)) % 166.52/166.34 [6378]~P1(f329(f62(f917(x63782,x63781)),x63783))+P1(f329(f62(x63781),f329(f287(x63782,x63781),x63783))) % 166.52/166.34 [6379]~P1(f329(f62(f917(x63791,x63792)),x63793))+P1(f329(f62(x63791),f329(f269(x63791,x63792),x63793))) % 166.52/166.34 [6384]~P114(x63841)+E(f329(f329(f106(f918(x63841,a905)),f305(x63841,x63842,x63843)),f329(f306(x63841),x63843)),f191(f918(x63841,a905))) % 166.52/166.34 [6385]~P114(x63851)+E(f329(f329(f106(f918(x63851,a905)),f307(x63851,x63852,x63853)),f329(f306(x63851),x63853)),f191(f918(x63851,a905))) % 166.52/166.34 [6386]~P114(x63861)+E(f329(f329(f106(f918(x63861,a905)),f308(x63861,x63862,x63863)),f329(f286(x63861),x63863)),f191(f918(x63861,a905))) % 166.52/166.34 [6455]E(f329(f329(f167(x64551),x64552),f657(x64552,x64553,x64551)),x64553)+~P1(f329(f329(f331(x64551),x64553),f329(f175(x64551),x64552))) % 166.52/166.34 [6598]E(x65981,f118(x65982))+~E(f329(f329(f329(f186(f911(x65982),f911(x65982)),x65983),f170(x65982)),x65981),f118(x65982)) % 166.52/166.34 [6675]P48(x66751,x66752,f575(x66753,x66752,x66751),x66753)+~P1(f329(f329(f197(x66751),x66752),x66753)) % 166.52/166.34 [6705]~P1(f329(f62(f917(x67052,x67051)),x67053))+P1(f329(f62(f917(x67051,x67052)),f329(f289(x67052,x67051),x67053))) % 166.52/166.34 [6854]P63(x68541,x68542,x68543)+P1(f329(f329(f331(x68541),f584(x68543,x68542,x68541)),x68542)) % 166.52/166.34 [6855]P63(x68551,x68552,x68553)+P1(f329(f329(f331(x68551),f583(x68553,x68552,x68551)),x68552)) % 166.52/166.34 [6866]P1(f329(f317(x68661,x68662),x68663))+P1(f329(f329(x68662,f499(x68663,x68662,x68661)),x68663)) % 166.52/166.34 [6867]P1(f329(f317(x68671,x68672),x68673))+P1(f329(f329(x68672,f509(x68673,x68672,x68671)),x68673)) % 166.52/166.34 [6898]E(f329(f192(f911(x68981)),f173(x68981,x68982,x68983)),f329(f329(f23(a910),f329(f192(f911(x68981)),x68983)),f80(a910)))+~P1(f329(f329(f331(x68981),x68982),f329(f175(x68981),x68983))) % 166.52/166.34 [6937]P1(f329(f253(x69371,x69372),x69373))+P1(f329(f329(f331(x69371),f355(x69373,x69372,x69371)),x69373)) % 166.52/166.34 [6946]~P1(f329(f62(f917(x69462,x69461)),f329(f289(x69461,x69462),x69463)))+P1(f329(f62(f917(x69461,x69462)),x69463)) % 166.52/166.34 [7001]~P1(f329(f329(f331(x70011),x70012),f329(f175(x70011),f119(x70011,x70013))))+P1(f329(f329(f331(x70011),x70012),f329(f175(x70011),x70013))) % 166.52/166.34 [7006]P34(x70061,x70062,x70063)+P1(f329(f329(f331(f909(x70061)),f781(x70063,x70062,x70061)),x70063)) % 166.52/166.34 [7037]E(f329(f139(x70371,x70372),x70373),x70373)+P1(f329(f329(f331(x70371),f723(x70373,x70372,x70371)),f329(f175(x70371),x70373))) % 166.52/166.34 [7051]E(f329(f139(x70511,x70512),x70513),f118(x70511))+P1(f329(f329(f331(x70511),f722(x70513,x70512,x70511)),f329(f175(x70511),x70513))) % 166.52/166.34 [7075]P37(x70751,x70752,x70753)+P1(f329(f329(f331(x70751),f780(x70753,x70752,x70751)),f329(f175(x70751),x70753))) % 166.52/166.34 [7076]P37(x70761,x70762,x70763)+P1(f329(f329(f331(x70761),f791(x70763,x70762,x70761)),f329(f175(x70761),x70763))) % 166.52/166.34 [7077]P37(x70771,x70772,x70773)+P1(f329(f329(f331(x70771),f790(x70772,x70773,x70771)),f329(f175(x70771),x70773))) % 166.52/166.34 [7080]E(f180(x70801,x70802,x70803),x70803)+P1(f329(f329(f331(x70801),f740(x70803,x70802,x70801)),f329(f175(x70801),x70803))) % 166.52/166.34 [7155]P1(f329(f163(x71551,x71552),x71553))+P1(f329(f329(f331(x71551),f696(x71553,x71552,x71551)),f329(f175(x71551),x71553))) % 166.52/166.34 [7164]~P39(x71641,x71643,x71642)+P1(f329(f329(f331(x71641),f773(x71642,x71643,x71641)),f329(f175(x71641),x71642))) % 166.52/166.34 [7165]~P41(x71651,x71653,x71652)+P1(f329(f329(f331(x71651),f779(x71652,x71653,x71651)),f329(f175(x71651),x71652))) % 166.52/166.34 [7166]~P41(x71661,x71663,x71662)+P1(f329(f329(f331(x71661),f793(x71662,x71663,x71661)),f329(f175(x71661),x71662))) % 166.52/166.34 [7167]~P39(x71671,x71672,x71673)+P1(f329(f329(f331(x71671),f820(x71672,x71673,x71671)),f329(f175(x71671),x71673))) % 166.52/166.34 [7168]~P39(x71681,x71683,x71682)+P1(f329(f329(f331(x71681),f821(x71682,x71683,x71681)),f329(f175(x71681),x71682))) % 166.52/166.34 [7202]P1(f329(f329(f331(x72021),x72022),f659(x72023,x72022,x72021)))+~P1(f329(f329(f331(x72021),x72022),f38(f918(x72021,a905),x72023))) % 166.52/166.34 [7203]~P5(x72031)+E(f329(f329(f82(x72031),f329(f329(f6(a910,x72031),x72032),f329(f285(a910),x72033))),f329(x72032,x72033)),f329(f329(f6(a910,x72031),x72032),f329(f285(a910),f329(a117,x72033)))) % 166.52/166.34 [7292]~P39(x72922,x72921,x72923)+P1(f329(x72921,f329(f329(f167(x72922),x72923),f776(x72923,x72921,x72922)))) % 166.52/166.34 [7305]~P1(f329(f329(f331(x73051),x73052),f646(x73052,x73053,x73051)))+P1(f329(f329(f331(x73051),x73052),f39(f918(x73051,a905),x73053))) % 166.52/166.34 [7338]~P5(x73381)+E(f329(f329(f82(x73381),f329(f329(f6(a910,x73381),x73382),f329(f303(a910),x73383))),f329(x73382,f329(a117,x73383))),f329(f329(f6(a910,x73381),x73382),f329(f303(a910),f329(a117,x73383)))) % 166.52/166.34 [7484]P1(f329(f329(f331(f911(x74841)),x74842),f164(x74841,x74843)))+P1(f329(f329(f331(x74841),f682(x74843,x74842,x74841)),f329(f175(x74841),x74842))) % 166.52/166.34 [7498]~P1(f329(f329(f331(f911(x74981)),x74982),f164(x74981,f318(x74981,x74983))))+P1(f329(f329(f331(f911(x74981)),x74982),f318(f911(x74981),f160(x74981,x74983)))) % 166.52/166.34 [7526]~P1(f329(f329(f331(f911(x75261)),x75262),f318(f911(x75261),f160(x75261,x75263))))+P1(f329(f329(f331(f911(x75261)),x75262),f164(x75261,f318(x75261,x75263)))) % 166.52/166.34 [7562]E(f329(f329(f329(f186(f911(x75621),f911(x75621)),x75622),f170(x75621)),x75623),x75623)+~P1(f329(f329(f239(a910),f329(f192(f911(x75621)),x75623)),f80(a910))) % 166.52/166.34 [7596]E(f329(f329(f137(x75961),f785(x75962,x75963,x75961)),f329(f329(f154(x75961),x75963),f786(x75962,x75963,x75961))),x75962)+~P1(f329(f329(f331(x75961),x75963),f329(f175(x75961),x75962))) % 166.52/166.34 [7597]E(f329(f329(f137(x75971),f777(x75972,x75973,x75971)),f329(f329(f154(x75971),x75973),f778(x75972,x75973,x75971))),x75972)+~P1(f329(f329(f331(x75971),x75973),f329(f175(x75971),x75972))) % 166.52/166.34 [7598]E(f329(f329(f137(x75981),f787(x75982,x75983,x75981)),f329(f329(f154(x75981),x75983),f788(x75982,x75983,x75981))),x75982)+~P1(f329(f329(f331(x75981),x75983),f329(f175(x75981),x75982))) % 166.52/166.34 [7620]~P30(x76201,x76202,x76203,f247(f918(x76201,a905)))+P30(f911(x76201),f911(x76202),f329(f157(x76201,x76202),x76203),f247(f918(f911(x76201),a905))) % 166.52/166.34 [7767]E(x77671,f329(f329(f82(a910),f329(f329(f83(a910),f329(f256(a910,a910),x77672)),x77673)),f329(f261(a910,a910),x77672)))+~P1(f329(f49(x77671,x77673),x77672)) % 166.52/166.34 [7775]P30(x77751,x77752,x77753,f247(f918(x77751,a905)))+~P30(f911(x77751),f911(x77752),f329(f157(x77751,x77752),x77753),f247(f918(f911(x77751),a905))) % 166.52/166.34 [7819]P1(f329(f329(f331(f918(x78191,a905)),f646(x78192,x78193,x78191)),x78193))+P1(f329(f329(f331(x78191),x78192),f39(f918(x78191,a905),x78193))) % 166.52/166.34 [7911]P1(f329(f329(f331(f911(x79111)),x79112),f164(x79111,x79113)))+~P1(f329(f329(f331(x79111),f682(x79113,x79112,x79111)),x79113)) % 166.52/166.34 [8018]P37(x80181,x80182,x80183)+~P1(f329(x80182,f329(f329(f167(x80181),x80183),f784(x80183,x80182,x80181)))) % 166.52/166.34 [8042]E(x80421,x80422)+~E(f329(f329(f7(x80423,f918(x80423,a905),a905),f331(x80423)),x80421),f329(f329(f7(x80423,f918(x80423,a905),a905),f331(x80423)),x80422)) % 166.52/166.34 [8050]~P1(f329(f329(f331(f917(x80501,x80501)),x80503),f268(x80501,x80502)))+P1(f329(f329(f331(x80501),f535(x80502,x80503,x80501)),x80502)) % 166.52/166.34 [8052]~P1(f329(f329(f331(x80521),x80523),f38(f918(x80521,a905),x80522)))+P1(f329(f329(f331(f918(x80521,a905)),f659(x80522,x80523,x80521)),x80522)) % 166.52/166.34 [8182]P30(x81821,x81822,f94(x81822,x81821,f247(f918(x81822,a905)),x81823),f247(f918(x81821,a905)))+~E(f329(f312(x81822,x81821,x81823),f247(f918(x81822,a905))),f247(f918(x81821,a905))) % 166.52/166.34 [8239]~P1(f329(f329(f331(x82391),x82392),f329(f175(x82391),f777(x82393,x82392,x82391))))+~P1(f329(f329(f331(x82391),x82392),f329(f175(x82391),x82393))) % 166.52/166.34 [8240]~P1(f329(f329(f331(x82401),x82402),f329(f175(x82401),f788(x82403,x82402,x82401))))+~P1(f329(f329(f331(x82401),x82402),f329(f175(x82401),x82403))) % 166.52/166.34 [8428]E(x84281,f118(x84282))+P1(f329(f329(f331(x84282),f329(f256(x84282,f917(a104,a104)),f329(f278(x84282,x84281),x84283))),f329(f175(x84282),x84281))) % 166.52/166.34 [8524]~P8(x85241)+E(f329(f145(x85241,x85241,f329(f7(x85241,x85241,x85241),f82(x85241)),x85242),f329(f171(x85241),x85243)),f329(f145(x85241,x85241,f82(x85241),x85242),x85243)) % 166.52/166.34 [8729]~P30(x87292,x87291,x87293,f247(f918(x87292,a905)))+E(f329(f312(x87291,x87292,f94(x87292,x87291,f247(f918(x87292,a905)),x87293)),f247(f918(x87291,a905))),f247(f918(x87292,a905))) % 166.52/166.34 [9029]~P112(x90291)+E(f329(f175(x90291),f152(x90291,x90291,f5(x90291),x90292,x90293)),f329(f329(f311(x90291),x90292),f329(f175(x90291),x90293))) % 166.52/166.34 [9040]~E(f329(x90403,f329(f94(x90401,x90402,f247(f918(x90401,a905)),x90403),f836(x90403,x90402,x90401))),f836(x90403,x90402,x90401))+E(f329(f312(x90401,x90402,x90403),f247(f918(x90401,a905))),f247(f918(x90402,a905))) % 166.52/166.34 [9042]P1(f329(f329(f240(a910),f2(a910)),f603(x90421,x90422,x90423)))+~P1(f329(f329(f331(f917(x90423,x90423)),x90422),f329(f329(f291(x90423,x90423,x90423),x90421),f309(x90423,x90421)))) % 166.52/166.34 [9333]~P65(x93331,x93332)+~P1(f329(f329(f331(f917(x93331,x93331)),f329(f329(f257(x93331,x93331),x93333),x93333)),f329(f329(f291(x93331,x93331,x93331),x93332),f309(x93331,x93332)))) % 166.52/166.34 [9463]~E(f329(f329(f106(f918(f917(x94631,x94631),a905)),f329(f289(x94631,x94631),x94632)),f309(x94631,x94632)),f191(f918(f917(x94631,x94631),a905)))+~P1(f329(f329(f331(f917(x94631,x94631)),f329(f329(f257(x94631,x94631),x94633),x94633)),f329(f329(f291(x94631,x94631,x94631),x94632),f309(x94631,x94632)))) % 166.52/166.34 [9645]~P1(f329(f62(x96451),x96452))+P1(f329(f329(f239(a910),f329(f36(x96451),f329(f329(f23(f918(x96451,a905)),x96452),f329(f329(f311(x96451),x96453),f191(f918(x96451,a905)))))),f329(f36(x96451),x96452))) % 166.52/166.34 [5159]~E(x51593,f118(x51591))+E(f147(x51591,f329(f329(f154(x51591),x51592),x51593)),x51592) % 166.52/166.34 [5167]~E(x51673,f118(x51671))+E(f119(x51671,f329(f329(f154(x51671),x51672),x51673)),f118(x51671)) % 166.52/166.34 [5199]E(x51991,f118(x51992))+E(f147(x51992,f329(f329(f154(x51992),x51993),x51991)),f147(x51992,x51991)) % 166.52/166.34 [5201]E(x52011,f118(x52012))+E(f147(x52012,f329(f329(f137(x52012),x52013),x52011)),f147(x52012,x52011)) % 166.52/166.34 [5208]~E(x52083,f118(x52081))+E(f119(x52081,f329(f329(f137(x52081),x52082),x52083)),f119(x52081,x52082)) % 166.52/166.34 [5210]~E(x52103,f118(x52101))+E(f147(x52101,f329(f329(f137(x52101),x52102),x52103)),f147(x52101,x52102)) % 166.52/166.34 [5245]E(x52451,f118(x52452))+E(f329(f144(x52452),f329(f329(f137(x52452),x52451),x52453)),f329(f144(x52452),x52451)) % 166.52/166.34 [5274]~E(x52742,f118(x52741))+E(f329(f144(x52741),f329(f329(f137(x52741),x52742),x52743)),f329(f144(x52741),x52743)) % 166.52/166.34 [5325]~P2(x53251)+E(f329(f329(f115(x53251),x53252),f329(f329(f106(x53251),x53252),x53253)),x53252) % 166.52/166.34 [5326]~P2(x53261)+E(f329(f329(f106(x53261),x53262),f329(f329(f115(x53261),x53262),x53263)),x53262) % 166.52/166.34 [5327]~P112(x53271)+E(f329(f329(f237(x53271),x53272),f329(f329(f238(x53271),x53272),x53273)),x53272) % 166.52/166.34 [5328]~P112(x53281)+E(f329(f329(f238(x53281),x53282),f329(f329(f237(x53281),x53282),x53283)),x53282) % 166.52/166.34 [5347]~P68(x53471)+E(f46(x53471,f329(f329(f83(x53471),x53472),x53473),x53473),f2(x53471)) % 166.52/166.34 [5348]~P68(x53481)+E(f46(x53481,f329(f329(f83(x53481),x53482),x53483),x53482),f2(x53481)) % 166.52/166.34 [5421]~P75(x54211)+E(f329(f81(x54211),f329(f329(f23(x54211),x54212),x54213)),f329(f329(f23(x54211),x54213),x54212)) % 166.52/166.34 [5482]E(x54821,f118(x54822))+E(f119(x54822,f329(f329(f154(x54822),x54823),x54821)),f329(f329(f154(x54822),x54823),f119(x54822,x54821))) % 166.52/166.34 [5483]E(x54831,f118(x54832))+E(f119(x54832,f329(f329(f137(x54832),x54833),x54831)),f329(f329(f137(x54832),x54833),f119(x54832,x54831))) % 166.52/166.34 [5486]~P10(x54861)+E(f39(x54861,f329(f329(f311(x54861),x54862),x54863)),f329(f329(f106(x54861),x54862),f39(x54861,x54863))) % 166.52/166.34 [5487]~P10(x54871)+E(f38(x54871,f329(f329(f311(x54871),x54872),x54873)),f329(f329(f115(x54871),x54872),f38(x54871,x54873))) % 166.52/166.34 [5530]~P2(x55301)+E(f329(f329(f115(x55301),x55302),f329(f329(f115(x55301),x55302),x55303)),f329(f329(f115(x55301),x55302),x55303)) % 166.52/166.34 [5532]~P103(x55321)+E(f329(f329(f115(x55321),x55322),f329(f329(f115(x55321),x55322),x55323)),f329(f329(f115(x55321),x55322),x55323)) % 166.52/166.34 [5533]~P2(x55331)+E(f329(f329(f106(x55331),x55332),f329(f329(f106(x55331),x55332),x55333)),f329(f329(f106(x55331),x55332),x55333)) % 166.52/166.34 [5535]~P104(x55351)+E(f329(f329(f106(x55351),x55352),f329(f329(f106(x55351),x55352),x55353)),f329(f329(f106(x55351),x55352),x55353)) % 166.52/166.34 [5536]~P99(x55361)+E(f329(f329(f83(x55361),x55362),f329(f329(f83(x55361),x55362),x55363)),f329(f329(f83(x55361),x55362),x55363)) % 166.52/166.34 [5538]~P112(x55381)+E(f329(f329(f237(x55381),x55382),f329(f329(f237(x55381),x55382),x55383)),f329(f329(f237(x55381),x55382),x55383)) % 166.52/166.34 [5540]~P112(x55401)+E(f329(f329(f238(x55401),x55402),f329(f329(f238(x55401),x55402),x55403)),f329(f329(f238(x55401),x55402),x55403)) % 166.52/166.34 [5547]~P68(x55471)+E(f46(x55471,f329(f329(f82(x55471),x55472),x55473),x55473),f46(x55471,x55472,x55473)) % 166.52/166.34 [5548]~P68(x55481)+E(f46(x55481,f329(f329(f82(x55481),x55482),x55483),x55482),f46(x55481,x55483,x55482)) % 166.52/166.34 [5556]~P121(x55561)+E(f329(f329(f83(x55561),x55562),f329(f81(x55561),x55563)),f329(f81(x55561),f329(f329(f83(x55561),x55562),x55563))) % 166.52/166.34 [5557]~P71(x55571)+E(f329(f329(f292(x55571),x55572),f329(f81(x55571),x55573)),f329(f81(x55571),f329(f329(f292(x55571),x55572),x55573))) % 166.52/166.34 [5558]~P4(x55581)+E(f329(f329(f82(x55581),x55582),f329(f168(x55581),x55583)),f329(f168(x55581),f329(f329(f154(x55581),x55582),x55583))) % 166.52/166.34 [5586]~P121(x55861)+E(f329(f329(f83(x55861),f329(f81(x55861),x55862)),x55863),f329(f329(f83(x55861),x55862),f329(f81(x55861),x55863))) % 166.52/166.34 [5592]~P13(x55921,x55922,x55923)+E(f38(f918(x55921,a905),f329(f329(f61(x55921),x55922),x55923)),x55922) % 166.52/166.34 [5657]~P119(x56571)+E(f329(f329(f83(x56571),x56572),f329(f329(f249(x56571),x56572),x56573)),f329(f329(f249(x56571),x56572),f329(a117,x56573))) % 166.52/166.34 [5658]~P116(x56581)+E(f329(f329(f83(x56581),x56582),f329(f329(f249(x56581),x56582),x56583)),f329(f329(f249(x56581),x56582),f329(a117,x56583))) % 166.52/166.34 [5668]~P79(x56681)+E(f329(f329(f82(x56681),f329(f81(x56681),x56682)),f329(f329(f82(x56681),x56682),x56683)),x56683) % 166.52/166.34 [5691]~P109(x56911)+E(f329(f329(f249(x56911),f329(f105(x56911),x56912)),x56913),f329(f105(x56911),f329(f329(f249(a910),x56912),x56913))) % 166.52/166.34 [5692]~P120(x56921)+E(f329(f329(f249(x56921),f329(f107(x56921),x56922)),x56923),f329(f107(x56921),f329(f329(f249(a1),x56922),x56923))) % 166.52/166.34 [5698]~P89(x56981)+E(f329(f77(x56981),f329(f329(f23(x56981),x56982),x56983)),f329(f77(x56981),f329(f329(f23(x56981),x56983),x56982))) % 166.52/166.34 [5701]~P123(x57011)+E(f329(f329(f83(x57011),f84(x57011,x57012)),f84(x57011,x57013)),f84(x57011,f329(f329(f83(x57011),x57012),x57013))) % 166.52/166.34 [5705]E(x57051,f118(x57052))+E(f329(f329(f137(x57052),f329(f174(x57052),x57051)),x57053),f329(f174(x57052),f329(f329(f137(x57052),x57051),x57053))) % 166.52/166.34 [5710]~E(x57102,f329(a117,f329(f329(f82(a910),x57101),x57103)))+P1(f329(f329(f240(a910),x57101),x57102)) % 166.52/166.34 [5711]~P123(x57111)+E(f329(f329(f249(x57111),f329(f77(x57111),x57112)),x57113),f329(f77(x57111),f329(f329(f249(x57111),x57112),x57113))) % 166.52/166.34 [5712]~P121(x57121)+E(f329(f329(f83(x57121),f329(f81(x57121),x57122)),x57123),f329(f81(x57121),f329(f329(f83(x57121),x57122),x57123))) % 166.52/166.34 [5713]~P126(x57131)+E(f329(f329(f292(x57131),f329(f81(x57131),x57132)),x57133),f329(f81(x57131),f329(f329(f292(x57131),x57132),x57133))) % 166.52/166.34 [5812]E(f878(x58121,x58122,x58123),f882(x58121,x58122,x58123))+E(f329(f329(f106(f918(x58123,a905)),x58122),x58121),f191(f918(x58123,a905))) % 166.52/166.34 [5827]~P5(x58272)+E(f329(f329(f6(x58271,x58272),f329(f16(x58272,x58271),f2(x58272))),x58273),f2(x58272)) % 166.52/166.34 [5828]~P80(x58282)+E(f329(f329(f9(x58281,x58282),f329(f16(x58282,x58281),f80(x58282))),x58283),f80(x58282)) % 166.52/166.34 [5830]~P109(x58301)+E(f329(f329(f82(x58301),f329(f105(x58301),x58302)),f329(f105(x58301),x58303)),f329(f105(x58301),f329(f329(f82(a910),x58302),x58303))) % 166.52/166.34 [5831]~P109(x58311)+E(f329(f329(f83(x58311),f329(f105(x58311),x58312)),f329(f105(x58311),x58313)),f329(f105(x58311),f329(f329(f83(a910),x58312),x58313))) % 166.52/166.34 [5832]~P120(x58321)+E(f329(f329(f82(x58321),f329(f107(x58321),x58322)),f329(f107(x58321),x58323)),f329(f107(x58321),f329(f329(f82(a1),x58322),x58323))) % 166.52/166.34 [5833]~P120(x58331)+E(f329(f329(f23(x58331),f329(f107(x58331),x58332)),f329(f107(x58331),x58333)),f329(f107(x58331),f329(f329(f23(a1),x58332),x58333))) % 166.52/166.34 [5834]~P120(x58341)+E(f329(f329(f83(x58341),f329(f107(x58341),x58342)),f329(f107(x58341),x58343)),f329(f107(x58341),f329(f329(f83(a1),x58342),x58343))) % 166.52/166.34 [5836]~P96(x58361)+E(f329(f329(f23(x58361),f329(f108(x58361),x58362)),f329(f108(x58361),x58363)),f329(f108(x58361),f329(f329(f23(a1),x58362),x58363))) % 166.52/166.34 [5838]~P96(x58381)+E(f329(f329(f82(x58381),f329(f108(x58381),x58382)),f329(f108(x58381),x58383)),f329(f108(x58381),f329(f329(f82(a1),x58382),x58383))) % 166.52/166.34 [5839]~P96(x58391)+E(f329(f329(f83(x58391),f329(f108(x58391),x58392)),f329(f108(x58391),x58393)),f329(f108(x58391),f329(f329(f83(a1),x58392),x58393))) % 166.52/166.34 [5886]~E(x58863,x58862)+P1(f329(f329(f239(f918(x58861,a905)),x58862),x58863)) % 166.52/166.34 [5892]~E(x58922,x58923)+P1(f329(f329(f239(f918(x58921,a905)),x58922),x58923)) % 166.52/166.34 [5897]~P123(x58971)+E(f329(f329(f83(x58971),f329(f77(x58971),x58972)),f329(f77(x58971),x58973)),f329(f77(x58971),f329(f329(f83(x58971),x58972),x58973))) % 166.52/166.34 [5898]~P73(x58981)+E(f329(f329(f292(x58981),f329(f77(x58981),x58982)),f329(f77(x58981),x58983)),f329(f77(x58981),f329(f329(f292(x58981),x58982),x58983))) % 166.52/166.34 [5899]~P98(x58991)+E(f329(f329(f106(x58991),f329(f81(x58991),x58992)),f329(f81(x58991),x58993)),f329(f81(x58991),f329(f329(f115(x58991),x58992),x58993))) % 166.52/166.34 [5900]~P79(x59001)+E(f329(f329(f82(x59001),f329(f81(x59001),x59002)),f329(f81(x59001),x59003)),f329(f81(x59001),f329(f329(f82(x59001),x59003),x59002))) % 166.52/166.34 [5901]~P75(x59011)+E(f329(f329(f82(x59011),f329(f81(x59011),x59012)),f329(f81(x59011),x59013)),f329(f81(x59011),f329(f329(f82(x59011),x59012),x59013))) % 166.52/166.34 [5902]~P98(x59021)+E(f329(f329(f115(x59021),f329(f81(x59021),x59022)),f329(f81(x59021),x59023)),f329(f81(x59021),f329(f329(f106(x59021),x59022),x59023))) % 166.52/166.34 [5903]~P78(x59031)+E(f329(f329(f238(x59031),f329(f81(x59031),x59032)),f329(f81(x59031),x59033)),f329(f81(x59031),f329(f329(f237(x59031),x59032),x59033))) % 166.52/166.34 [5904]~P78(x59041)+E(f329(f329(f237(x59041),f329(f81(x59041),x59042)),f329(f81(x59041),x59043)),f329(f81(x59041),f329(f329(f238(x59041),x59042),x59043))) % 166.52/166.34 [5905]~P4(x59051)+E(f329(f329(f82(x59051),f329(f168(x59051),x59052)),f329(f168(x59051),x59053)),f329(f168(x59051),f329(f329(f137(x59051),x59052),x59053))) % 166.52/166.34 [5906]E(x59061,f191(f918(x59062,a905)))+~E(f329(f329(f115(f918(x59062,a905)),x59063),x59061),f191(f918(x59062,a905))) % 166.52/166.34 [5907]E(x59071,f191(f918(x59072,a905)))+~E(f329(f329(f115(f918(x59072,a905)),x59071),x59073),f191(f918(x59072,a905))) % 166.52/166.34 [5908]~P149(x59081,x59082,x59083)+P1(f329(x59081,f329(f329(f37(a1),x59082),x59083))) % 166.52/166.34 [5966]~P1(f329(f62(x59661),x59663))+P1(f329(f62(x59661),f329(f329(f311(x59661),x59662),x59663))) % 166.52/166.34 [5967]~P1(f329(f140(x59671),x59673))+P1(f329(f140(x59671),f329(f329(f178(x59671),x59672),x59673))) % 166.52/166.34 [5968]~P1(f329(f140(x59681),x59683))+P1(f329(f140(x59681),f329(f329(f141(x59681),x59682),x59683))) % 166.52/166.34 [5997]~P2(x59971)+P1(f329(f329(f239(x59971),x59972),f329(f329(f115(x59971),x59973),x59972))) % 166.52/166.34 [5998]~P103(x59981)+P1(f329(f329(f239(x59981),x59982),f329(f329(f115(x59981),x59983),x59982))) % 166.52/166.34 [5999]~P2(x59991)+P1(f329(f329(f239(x59991),x59992),f329(f329(f115(x59991),x59992),x59993))) % 166.52/166.34 [6000]~P103(x60001)+P1(f329(f329(f239(x60001),x60002),f329(f329(f115(x60001),x60002),x60003))) % 166.52/166.34 [6001]~P112(x60011)+P1(f329(f329(f239(x60011),x60012),f329(f329(f238(x60011),x60013),x60012))) % 166.52/166.34 [6002]~P112(x60021)+P1(f329(f329(f239(x60021),x60022),f329(f329(f238(x60021),x60022),x60023))) % 166.52/166.34 [6016]~E(x60161,f2(a910))+E(f329(f329(f37(a910),f329(f329(f83(a910),x60161),x60162)),f329(f329(f83(a910),x60161),x60163)),f2(a910)) % 166.52/166.34 [6083]P1(f329(x60831,x60832))+P1(f329(f329(f197(f31(x60831,x60833)),x60832),x60832)) % 166.52/166.34 [6099]~P96(x60991)+E(f329(f329(f23(x60991),f329(f108(x60991),x60992)),f329(f108(x60991),x60993)),f329(f108(x60991),f329(f329(f82(a1),x60992),f329(f81(a1),x60993)))) % 166.52/166.34 [6157]E(x61571,f2(a910))+E(f329(f329(f37(a910),f329(f329(f83(a910),x61571),x61572)),f329(f329(f83(a910),x61571),x61573)),f329(f329(f37(a910),x61572),x61573)) % 166.52/166.34 [6188]E(f155(x61881,f329(f329(f154(x61881),x61882),x61883)),f329(f329(f154(x61881),x61882),f155(x61881,x61883)))+P1(f329(f329(f331(x61881),x61882),f329(f175(x61881),x61883))) % 166.52/166.34 [6225]P149(x62251,x62252,x62253)+~P1(f329(x62251,f329(f329(f37(a1),x62252),x62253))) % 166.52/166.34 [6296]E(x62961,f118(x62962))+E(f329(f329(f154(x62962),f329(f144(x62962),x62961)),f329(f329(f178(x62962),x62963),f329(f174(x62962),x62961))),f329(f329(f178(x62962),f329(a117,x62963)),x62961)) % 166.52/166.34 [6303]E(f329(f329(f23(f918(x63031,a905)),x63032),x63033),x63032)+~E(f329(f329(f106(f918(x63031,a905)),x63032),x63033),f191(f918(x63031,a905))) % 166.52/166.34 [6318]E(f155(x63181,f329(f329(f154(x63181),x63182),x63183)),f155(x63181,x63183))+~P1(f329(f329(f331(x63181),x63182),f329(f175(x63181),x63183))) % 166.52/166.34 [6348]~P1(f329(f329(f239(a910),x63481),x63483))+P1(f329(f329(f239(a910),x63481),f329(f329(f82(a910),x63482),x63483))) % 166.52/166.34 [6350]~P1(f329(f329(f239(a910),x63501),x63502))+P1(f329(f329(f239(a910),x63501),f329(f329(f82(a910),x63502),x63503))) % 166.52/166.34 [6352]~P1(f329(f329(f240(a910),x63521),x63523))+P1(f329(f329(f240(a910),x63521),f329(f329(f82(a910),x63522),x63523))) % 166.52/166.34 [6354]~P1(f329(f329(f240(a910),x63541),x63542))+P1(f329(f329(f240(a910),x63541),f329(f329(f82(a910),x63542),x63543))) % 166.52/166.34 [6392]P1(f329(f62(x63921),x63922))+~P1(f329(f62(x63921),f329(f329(f311(x63921),x63923),x63922))) % 166.52/166.34 [6393]P1(f329(f140(x63931),x63932))+~P1(f329(f140(x63931),f329(f329(f154(x63931),x63933),x63932))) % 166.52/166.34 [6394]P1(f329(f140(x63941),x63942))+~P1(f329(f140(x63941),f329(f329(f137(x63941),x63943),x63942))) % 166.52/166.34 [6395]P1(f329(f140(x63951),x63952))+~P1(f329(f140(x63951),f329(f329(f137(x63951),x63952),x63953))) % 166.52/166.34 [6444]~P116(x64441)+E(f329(f329(f82(x64441),x64442),f329(f329(f83(x64441),x64443),x64442)),f329(f329(f83(x64441),f329(f329(f82(x64441),x64443),f80(x64441))),x64442)) % 166.52/166.34 [6491]~E(x64911,x64912)+~P1(f329(f329(f240(f918(x64913,a905)),x64911),x64912)) % 166.52/166.34 [6538]P1(f329(f329(f331(x65381),x65382),x65383))+P1(f329(f329(f331(x65381),x65382),f329(f81(f918(x65381,a905)),x65383))) % 166.52/166.34 [6544]E(f147(x65441,f329(f329(f141(x65441),x65442),x65443)),f147(x65441,x65443))+~P1(f329(f329(f240(a910),x65442),f329(f192(f911(x65441)),x65443))) % 166.52/166.34 [6545]E(f329(f329(f178(x65451),x65452),f119(x65451,x65453)),f329(f329(f178(x65451),x65452),x65453))+~P1(f329(f329(f240(a910),x65452),f329(f192(f911(x65451)),x65453))) % 166.52/166.34 [6600]E(f329(f329(f329(f186(f911(x66001),f911(x66001)),x66002),f170(x66001)),x66003),x66003)+~E(f46(a910,x66002,f329(f192(f911(x66001)),x66003)),f2(a910)) % 166.52/166.34 [6609]~P13(x66091,x66093,x66092)+E(f329(f329(f291(x66091,x66091,x66091),f329(f289(x66091,x66091),x66092)),x66092),x66092) % 166.52/166.34 [6651]~E(f329(f329(f115(f918(x66511,a905)),x66512),x66513),x66513)+P1(f329(f329(f239(f918(x66511,a905)),x66512),x66513)) % 166.52/166.34 [6656]~P62(x66561,x66561,x66563)+P62(x66561,x66561,f329(f329(f186(f917(x66561,x66561),a905),x66562),x66563)) % 166.52/166.34 [6659]~P1(f329(f329(f331(x66591),x66593),f329(f175(x66591),x66592)))+P1(f329(f329(f240(a910),f2(a910)),f329(f192(f911(x66591)),x66592))) % 166.52/166.34 [6686]~P89(x66861)+E(f329(f77(x66861),f329(f329(f82(x66861),f329(f77(x66861),x66862)),f329(f77(x66861),x66863))),f329(f329(f82(x66861),f329(f77(x66861),x66862)),f329(f77(x66861),x66863))) % 166.52/166.34 [6697]E(f329(f329(f37(a910),f329(f329(f83(a910),x66971),x66972)),f329(f329(f83(a910),x66971),x66973)),f329(f329(f37(a910),x66972),x66973))+~P1(f329(f329(f240(a910),f2(a910)),x66971)) % 166.52/166.34 [6835]~P1(f329(f62(x68351),x68353))+E(f329(f329(f65(x68351,f918(x68351,a905),f311(x68351)),x68352),x68353),f329(f329(f115(f918(x68351,a905)),x68353),x68352)) % 166.52/166.34 [6891]E(f329(f329(f115(f918(x68911,a905)),x68912),x68913),x68912)+~P1(f329(f329(f239(f918(x68911,a905)),x68913),x68912)) % 166.52/166.34 [6893]E(f329(f329(f115(f918(x68931,a905)),x68932),x68933),x68933)+~P1(f329(f329(f239(f918(x68931,a905)),x68932),x68933)) % 166.52/166.34 [6894]E(f329(f329(f106(f918(x68941,a905)),x68942),x68943),x68943)+~P1(f329(f329(f239(f918(x68941,a905)),x68943),x68942)) % 166.52/166.34 [6895]E(f329(f329(f106(f918(x68951,a905)),x68952),x68953),x68952)+~P1(f329(f329(f239(f918(x68951,a905)),x68952),x68953)) % 166.52/166.34 [6944]~P1(f329(f140(x69441),x69442))+E(f329(f329(f23(f918(x69441,a905)),f329(f175(x69441),x69442)),f329(f329(f311(x69441),x69443),f191(f918(x69441,a905)))),f329(f175(x69441),f173(x69441,x69443,x69442))) % 166.52/166.34 [6996]P43(x69961,x69962)+~P43(x69961,f329(f329(f186(f917(x69961,x69961),a905),x69963),x69962)) % 166.52/166.34 [7063]P1(f329(f50(x70631,x70632),f329(a52,x70633)))+~P1(f329(f50(f329(f81(a1),x70631),f329(f81(a1),x70632)),x70633)) % 166.52/166.34 [7068]E(f329(f329(f23(f918(x70681,a905)),f329(f329(f311(x70681),x70682),x70683)),f329(f329(f311(x70681),x70682),f191(f918(x70681,a905)))),x70683)+P1(f329(f329(f331(x70681),x70682),x70683)) % 166.52/166.34 [7089]E(f329(f329(f106(f918(x70891,a905)),f329(f175(x70891),x70892)),f329(f175(x70891),x70893)),f191(f918(x70891,a905)))+~P1(f329(f140(x70891),f329(f329(f137(x70891),x70892),x70893))) % 166.52/166.34 [7104]~P1(f329(f329(f331(x71041),x71042),f329(f175(x71041),x71043)))+~P1(f329(f140(x71041),f329(f329(f154(x71041),x71042),x71043))) % 166.52/166.34 [7174]P37(x71741,x71742,x71743)+P1(f329(f329(f240(a910),f784(x71743,x71742,x71741)),f329(f192(f911(x71741)),x71743))) % 166.52/166.34 [7184]E(f329(f329(f106(f918(x71841,a905)),x71842),x71843),f191(f918(x71841,a905)))+P1(f329(f329(f331(x71841),f878(x71843,x71842,x71841)),x71842)) % 166.52/166.34 [7185]E(f329(f329(f106(f918(x71851,a905)),x71852),x71853),f191(f918(x71851,a905)))+P1(f329(f329(f331(x71851),f882(x71853,x71852,x71851)),x71853)) % 166.52/166.34 [7188]E(f119(x71881,f329(f329(f178(x71881),x71882),x71883)),f329(f329(f178(x71881),f329(f329(f23(a910),x71882),f80(a910))),x71883))+~P1(f329(f329(f239(a910),x71882),f329(f192(f911(x71881)),x71883))) % 166.52/166.34 [7247]~P39(x72473,x72472,x72471)+P1(f329(f329(f240(a910),f776(x72471,x72472,x72473)),f329(f192(f911(x72473)),x72471))) % 166.52/166.34 [7265]P1(f329(f329(f240(a910),f2(a910)),x72651))+P1(f329(f329(f239(a910),f329(f329(f83(a910),x72652),x72651)),f329(f329(f83(a910),x72653),x72651))) % 166.52/166.34 [7266]P1(f329(f329(f240(a910),f2(a910)),x72661))+P1(f329(f329(f239(a910),f329(f329(f83(a910),x72661),x72662)),f329(f329(f83(a910),x72661),x72663))) % 166.52/166.34 [7269]~P1(f329(f329(f331(x72691),x72692),x72693))+~P1(f329(f329(f331(x72691),x72692),f329(f81(f918(x72691,a905)),x72693))) % 166.52/166.34 [7275]~P1(f329(f329(f240(f918(x72751,a905)),x72752),x72753))+P1(f329(f329(f239(f918(x72751,a905)),x72752),x72753)) % 166.52/166.34 [7386]~P1(f329(f329(f239(a910),x73862),x73863))+P1(f329(f329(f239(a910),f329(f329(f82(a910),x73861),x73862)),f329(f329(f82(a910),x73861),x73863))) % 166.52/166.34 [7387]~P1(f329(f329(f239(a910),x73871),x73873))+P1(f329(f329(f239(a910),f329(f329(f82(a910),x73871),x73872)),f329(f329(f82(a910),x73873),x73872))) % 166.52/166.34 [7388]~P1(f329(f329(f239(a910),x73883),x73882))+P1(f329(f329(f239(a910),f329(f329(f23(a910),x73881),x73882)),f329(f329(f23(a910),x73881),x73883))) % 166.52/166.34 [7389]~P1(f329(f329(f239(a910),x73891),x73893))+P1(f329(f329(f239(a910),f329(f329(f23(a910),x73891),x73892)),f329(f329(f23(a910),x73893),x73892))) % 166.52/166.34 [7391]~P1(f329(f329(f239(a910),x73912),x73913))+P1(f329(f329(f239(a910),f329(f329(f83(a910),x73911),x73912)),f329(f329(f83(a910),x73911),x73913))) % 166.52/166.34 [7393]~P1(f329(f329(f239(a910),x73931),x73933))+P1(f329(f329(f239(a910),f329(f329(f83(a910),x73931),x73932)),f329(f329(f83(a910),x73933),x73932))) % 166.52/166.34 [7394]~P1(f329(f329(f239(a910),x73941),x73943))+P1(f329(f329(f239(a910),f329(f329(f37(a910),x73941),x73942)),f329(f329(f37(a910),x73943),x73942))) % 166.52/166.34 [7395]~P1(f329(f329(f239(a1),x73952),x73953))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x73951),x73952)),f329(f329(f82(a1),x73951),x73953))) % 166.52/166.34 [7398]~P1(f329(f329(f240(a910),x73982),x73983))+P1(f329(f329(f240(a910),f329(f329(f82(a910),x73981),x73982)),f329(f329(f82(a910),x73981),x73983))) % 166.52/166.34 [7399]~P1(f329(f329(f240(a910),x73991),x73993))+P1(f329(f329(f240(a910),f329(f329(f82(a910),x73991),x73992)),f329(f329(f82(a910),x73993),x73992))) % 166.52/166.34 [7400]~P1(f329(f329(f240(a1),x74001),x74003))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x74001),x74002)),f329(f329(f82(a1),x74003),x74002))) % 166.52/166.34 [7483]E(x74831,x74832)+~P1(f329(f329(f331(x74833),x74831),f329(f329(f311(x74833),x74832),f191(f918(x74833,a905))))) % 166.52/166.34 [7485]~E(f329(f329(f106(f918(x74851,a905)),x74852),x74853),f191(f918(x74851,a905)))+P1(f329(f329(f239(f918(x74851,a905)),x74852),f329(f81(f918(x74851,a905)),x74853))) % 166.52/166.34 [7490]P1(f329(f329(f331(f918(x74901,a905)),x74902),f329(f310(x74901),x74903)))+~P1(f329(f329(f239(f918(x74901,a905)),x74902),x74903)) % 166.52/166.34 [7543]E(f329(f329(f154(x75431),f329(f329(f167(x75431),x75432),x75433)),f329(f329(f141(x75431),f329(a117,x75433)),x75432)),f329(f329(f141(x75431),x75433),x75432))+~P1(f329(f329(f240(a910),x75433),f329(f192(f911(x75431)),x75432))) % 166.52/166.34 [7572]P1(f329(f329(f331(f917(x75721,x75721)),x75722),f309(x75721,x75723)))+~P1(f329(f329(f331(f917(x75721,x75721)),x75722),x75723)) % 166.52/166.34 [7582]~P1(f329(f329(f331(f918(x75821,a905)),x75822),f329(f310(x75821),x75823)))+P1(f329(f329(f239(f918(x75821,a905)),x75822),x75823)) % 166.52/166.34 [7626]P1(f329(f329(f239(f918(x76261,a905)),x76262),f38(f918(x76261,a905),x76263)))+~P1(f329(f329(f331(f918(x76261,a905)),x76262),x76263)) % 166.52/166.34 [7648]~P120(x76481)+E(f329(f329(f83(x76481),f329(f329(f249(x76481),f329(f81(x76481),f80(x76481))),x76482)),f329(f329(f249(x76481),x76483),x76482)),f329(f329(f249(x76481),f329(f81(x76481),x76483)),x76482)) % 166.52/166.34 [7670]E(f329(f329(f167(x76701),x76702),f329(f329(f23(a910),f329(f192(f911(x76701)),x76702)),f329(a117,x76703))),f329(f329(f167(x76701),f329(f171(x76701),x76702)),x76703))+~P1(f329(f329(f240(a910),x76703),f329(f192(f911(x76701)),x76702))) % 166.52/166.34 [7687]~E(f329(f329(f106(f918(x76871,a905)),f638(x76873,x76872,x76871)),x76873),f191(f918(x76871,a905)))+E(f329(f329(f106(f918(x76871,a905)),f38(f918(x76871,a905),x76872)),x76873),f191(f918(x76871,a905))) % 166.52/166.34 [7750]~P1(f329(f329(f331(x77503),x77502),f329(f175(x77503),x77501)))+P1(f329(f329(f240(a910),f657(x77501,x77502,x77503)),f329(f192(f911(x77503)),x77501))) % 166.52/166.34 [7758]P1(f329(f329(f331(x77581),f329(f329(f167(x77581),x77582),x77583)),f329(f175(x77581),x77582)))+~P1(f329(f329(f240(a910),x77583),f329(f192(f911(x77581)),x77582))) % 166.52/166.34 [7856]~P1(f329(x78562,f741(x78563,x78562,x78561)))+E(f329(f329(f141(x78561),f329(f192(f911(x78561)),f180(x78561,x78562,x78563))),x78563),f118(x78561)) % 166.52/166.34 [7869]P1(f329(f329(f239(f918(f911(x78691),a905)),f164(x78691,x78692)),f164(x78691,x78693)))+~P1(f329(f329(f239(f918(x78691,a905)),x78692),x78693)) % 166.52/166.34 [7870]P1(f329(f329(f239(f918(f911(x78701),a905)),f163(x78701,x78702)),f163(x78701,x78703)))+~P1(f329(f329(f239(f918(x78701,a905)),x78702),x78703)) % 166.52/166.34 [7898]E(f329(f329(f106(f918(x78981,a905)),f38(f918(x78981,a905),x78982)),x78983),f191(f918(x78981,a905)))+P1(f329(f329(f331(f918(x78981,a905)),f638(x78983,x78982,x78981)),x78982)) % 166.52/166.34 [7900]~P1(f329(f329(f331(f918(x79001,a905)),x79003),x79002))+P1(f329(f329(f239(f918(x79001,a905)),f39(f918(x79001,a905),x79002)),x79003)) % 166.52/166.34 [7902]E(f329(f329(f106(f918(x79021,a905)),x79022),x79023),f191(f918(x79021,a905)))+~P1(f329(f329(f239(f918(x79021,a905)),x79022),f329(f81(f918(x79021,a905)),x79023))) % 166.52/166.34 [7955]E(f329(f329(f23(a910),f329(f329(f82(a910),f329(f168(a910),x79551)),x79552)),f329(f329(f167(a910),x79551),x79553)),f329(f168(a910),f329(f329(f162(a910,x79551),x79553),x79552)))+~P1(f329(f329(f240(a910),x79553),f329(f192(f911(a910)),x79551))) % 166.52/166.34 [8006]P1(f329(f329(f239(a910),x80061),x80062))+~P1(f329(f329(f239(a910),f329(f329(f82(a910),x80063),x80061)),f329(f329(f82(a910),x80063),x80062))) % 166.52/166.34 [8009]P1(f329(f329(f240(a910),x80091),x80092))+~P1(f329(f329(f240(a910),f329(f329(f82(a910),x80093),x80091)),f329(f329(f82(a910),x80093),x80092))) % 166.52/166.34 [8010]P1(f329(f329(f240(a910),x80101),x80102))+~P1(f329(f329(f240(a910),f329(f329(f83(a910),x80103),x80101)),f329(f329(f83(a910),x80103),x80102))) % 166.52/166.34 [8011]P1(f329(f329(f240(a910),x80111),x80112))+~P1(f329(f329(f240(a910),f329(f329(f83(a910),x80111),x80113)),f329(f329(f83(a910),x80112),x80113))) % 166.52/166.34 [8040]P1(f329(f329(f240(a910),f2(a910)),x80401))+~P1(f329(f329(f240(a910),f329(f329(f83(a910),x80402),x80401)),f329(f329(f83(a910),x80403),x80401))) % 166.52/166.34 [8041]P1(f329(f329(f240(a910),f2(a910)),x80411))+~P1(f329(f329(f240(a910),f329(f329(f83(a910),x80411),x80412)),f329(f329(f83(a910),x80411),x80413))) % 166.52/166.34 [8117]E(f252(x81171,x81172,x81173),x81172)+~P1(f329(f329(f239(f918(x81171,a905)),x81173),f329(f329(f311(x81171),x81172),f191(f918(x81171,a905))))) % 166.52/166.34 [8175]~P1(f329(f140(x81751),x81753))+E(f329(f139(x81751,f329(f329(f8(a905,a905,x81751),a324),f329(a326,x81752))),x81753),f173(x81751,x81752,x81753)) % 166.52/166.34 [8199]E(f329(f329(f141(x81991),f329(f192(f911(x81991)),f180(x81991,x81992,x81993))),x81993),f118(x81991))+P1(f329(f329(f331(x81991),f741(x81993,x81992,x81991)),f329(f175(x81991),x81993))) % 166.52/166.34 [8204]E(f329(f329(f137(x82041),f329(f329(f178(x82041),x82042),x82043)),f329(f329(f154(x82041),f329(f329(f167(x82041),x82043),x82042)),f118(x82041))),f329(f329(f178(x82041),f329(a117,x82042)),x82043))+~P1(f329(f329(f240(a910),x82042),f329(f192(f911(x82041)),x82043))) % 166.52/166.34 [8267]E(f329(f139(x82671,f329(f329(f8(a905,a905,x82671),a324),f329(a326,x82672))),x82673),x82673)+P1(f329(f329(f331(x82671),x82672),f329(f175(x82671),x82673))) % 166.52/166.34 [8273]P1(f329(f329(f239(f918(f918(x82731,a905),a905)),f253(x82731,x82732)),f253(x82731,x82733)))+~P1(f329(f329(f239(f918(x82731,a905)),x82732),x82733)) % 166.52/166.34 [8314]~P1(f329(f140(x83141),x83143))+P1(f329(f140(x83141),f329(f329(f329(f186(f911(x83141),f911(x83141)),x83142),f170(x83141)),x83143))) % 166.52/166.34 [8320]~P1(f329(f329(f240(a910),x83202),x83203))+P1(f329(f329(f240(a910),f329(f329(f83(a910),f329(a117,x83201)),x83202)),f329(f329(f83(a910),f329(a117,x83201)),x83203))) % 166.52/166.34 [8341]P1(f329(f329(f239(f918(f918(x83411,a905),a905)),f329(f310(x83411),x83412)),f329(f310(x83411),x83413)))+~P1(f329(f329(f239(f918(x83411,a905)),x83412),x83413)) % 166.52/166.34 [8410]~E(f329(f312(x84101,x84102,x84103),f247(f918(x84101,a905))),f247(f918(x84102,a905)))+E(f329(f74(x84101,x84102,x84102,x84103),f94(x84101,x84102,f247(f918(x84101,a905)),x84103)),f33(x84102)) % 166.52/166.34 [8505]~P1(f329(f329(f239(f918(x85051,a905)),x85053),x85052))+P1(f329(f329(f239(f918(x85051,a905)),f329(f81(f918(x85051,a905)),x85052)),f329(f81(f918(x85051,a905)),x85053))) % 166.52/166.34 [8540]E(f329(f312(a910,a910,f329(f329(f7(a910,a910,a910),f23(a910)),x85401)),f329(f304(a910,x85402),x85403)),f329(f304(a910,f329(f329(f23(a910),x85402),x85401)),f329(f329(f23(a910),x85403),x85401)))+~P1(f329(f329(f240(a910),x85401),x85403)) % 166.52/166.34 [8567]~P4(x85671)+E(f329(f329(f82(x85671),x85672),f329(f145(x85671,x85671,f82(x85671),f2(x85671)),x85673)),f329(f145(x85671,x85671,f82(x85671),x85672),x85673)) % 166.52/166.34 [8655]~P89(x86551)+P1(f329(f329(f239(x86551),f329(f77(x86551),f329(f329(f82(x86551),x86552),x86553))),f329(f329(f82(x86551),f329(f77(x86551),x86552)),f329(f77(x86551),x86553)))) % 166.52/166.34 [8656]~P89(x86561)+P1(f329(f329(f239(x86561),f329(f77(x86561),f329(f329(f23(x86561),x86562),x86563))),f329(f329(f82(x86561),f329(f77(x86561),x86562)),f329(f77(x86561),x86563)))) % 166.52/166.34 [8667]E(f329(f329(f82(a1),f329(f329(f83(a1),x86671),f46(a1,f329(f329(f37(a1),x86672),x86671),x86673))),f46(a1,x86672,x86671)),f46(a1,x86672,f329(f329(f83(a1),x86671),x86673)))+~P1(f329(f329(f240(a1),f2(a1)),x86673)) % 166.52/166.34 [8673]E(f329(f329(f137(x86731),f329(f329(f178(x86731),x86732),x86733)),f329(f329(f154(x86731),f329(f144(x86731),f329(f329(f141(x86731),x86732),x86733))),f118(x86731))),f329(f329(f178(x86731),f329(a117,x86732)),x86733))+~P1(f329(f329(f240(a910),x86732),f329(f192(f911(x86731)),x86733))) % 166.52/166.34 [8692]E(f329(f273(x86921,f329(f329(f157(x86921,f917(a104,x86921)),f329(f257(a104,x86921),f80(a104))),x86922)),f329(a3,x86923)),f329(f329(f167(x86921),x86922),x86923))+~P1(f329(f329(f240(a910),x86923),f329(f192(f911(x86921)),x86922))) % 166.52/166.34 [8757]P1(f329(f329(f331(f917(x87571,x87571)),x87572),f329(f329(f291(x87571,x87571,x87571),x87573),f309(x87571,x87573))))+~P1(f329(f329(f331(f917(x87571,x87571)),x87572),x87573)) % 166.52/166.34 [8767]E(f329(f312(x87671,x87672,x87673),f247(f918(x87671,a905))),f247(f918(x87672,a905)))+~E(f329(f74(x87671,x87672,x87672,x87673),f94(x87671,x87672,f247(f918(x87671,a905)),x87673)),f33(x87672)) % 166.52/166.34 [8776]P1(f329(f329(f239(a910),x87761),x87762))+~P1(f329(f329(f239(a910),f329(f329(f83(a910),f329(a117,x87763)),x87761)),f329(f329(f83(a910),f329(a117,x87763)),x87762))) % 166.52/166.34 [8792]P1(f329(f329(f239(f918(x87921,a905)),x87922),x87923))+~P1(f329(f329(f239(f918(x87921,a905)),f329(f81(f918(x87921,a905)),x87923)),f329(f81(f918(x87921,a905)),x87922))) % 166.52/166.34 [8809]P1(f329(f140(x88091),x88092))+~P1(f329(f140(x88091),f329(f329(f329(f186(f911(x88091),f911(x88091)),x88093),f170(x88091)),x88092))) % 166.52/166.34 [8878]E(f329(f288(x88781,x88781,f309(x88781,x88782)),x88783),x88783)+~P1(f329(f329(f239(f918(x88781,a905)),f329(f288(x88781,x88781,x88782),x88783)),x88783)) % 166.52/166.34 [8924]~P112(x89241)+P18(x89241,f329(f139(x89241,f329(f329(f7(x89241,x89241,a905),a326),f329(x89242,x89243))),x89243)) % 166.52/166.34 [8929]~P1(f329(f329(f239(a910),x89291),x89292))+P1(f329(f329(f239(a910),x89291),f329(f145(a910,a910,f82(a910),x89292),x89293))) % 166.52/166.34 [9014]~P1(f329(f329(f331(f917(x90141,x90141)),x90142),f309(x90141,x90143)))+P1(f329(f329(f331(f917(x90141,x90141)),x90142),f329(f329(f186(f917(x90141,x90141),a905),f600(x90143,x90142,x90141)),x90143))) % 166.52/166.34 [9099]~P4(x90991)+E(f329(f329(f82(x90991),x90992),f329(f145(x90991,x90991,f329(f7(x90991,x90991,x90991),f82(x90991)),f2(x90991)),f329(f171(x90991),x90993))),f329(f145(x90991,x90991,f82(x90991),x90992),x90993)) % 166.52/166.34 [9219]~P31(x92192,x92191,x92193,f247(f918(x92192,a905)),f247(f918(x92191,a905)))+E(f94(x92191,x92192,f247(f918(x92191,a905)),f94(x92192,x92191,f247(f918(x92192,a905)),x92193)),x92193) % 166.52/166.34 [9379]P62(x93791,x93792,x93793)+P1(f329(f329(f331(f917(x93791,x93792)),f329(f329(f257(x93791,x93792),f604(x93793,x93792,x93791)),f599(x93793,x93792,x93791))),x93793)) % 166.52/166.34 [9380]P62(x93801,x93802,x93803)+P1(f329(f329(f331(f917(x93801,x93802)),f329(f329(f257(x93801,x93802),f604(x93803,x93802,x93801)),f598(x93803,x93802,x93801))),x93803)) % 166.52/166.34 [9448]~P1(f329(f329(f331(f917(x94481,x94481)),x94482),f329(f329(f291(x94481,x94481,x94481),x94483),f309(x94481,x94483))))+P1(f329(f329(f331(f917(x94481,x94481)),x94482),f329(f329(f186(f917(x94481,x94481),a905),f603(x94483,x94482,x94481)),x94483))) % 166.52/166.34 [9449]~P1(f329(x94491,f329(f329(f167(x94492),x94493),f329(f192(f911(x94492)),f180(x94492,x94491,x94493)))))+~P1(f329(f329(f240(a910),f329(f192(f911(x94492)),f180(x94492,x94491,x94493))),f329(f192(f911(x94492)),x94493))) % 166.52/166.34 [9536]~P1(f329(f329(f239(f918(x95361,a905)),x95362),x95363))+P1(f329(f329(f239(f918(x95361,a905)),f329(f329(f7(x95361,f918(x95361,a905),a905),f331(x95361)),x95362)),f329(f329(f7(x95361,f918(x95361,a905),a905),f331(x95361)),x95363))) % 166.52/166.34 [9596]~P1(f329(f329(f331(f917(f918(x95961,a905),f918(x95961,a905))),f329(f329(f257(f918(x95961,a905),f918(x95961,a905)),x95962),x95963)),f316(x95961)))+P1(f329(f329(f240(f918(x95961,a905)),x95962),x95963)) % 166.52/166.34 [9621]P63(x96211,x96212,x96213)+~P1(f329(f329(f331(f917(x96211,x96211)),f329(f329(f257(x96211,x96211),f584(x96213,x96212,x96211)),f583(x96213,x96212,x96211))),x96213)) % 166.52/166.34 [9622]P63(x96221,x96222,x96223)+~P1(f329(f329(f331(f917(x96221,x96221)),f329(f329(f257(x96221,x96221),f583(x96223,x96222,x96221)),f584(x96223,x96222,x96221))),x96223)) % 166.52/166.34 [9658]~P1(f329(f329(f331(f917(f911(x96581),f911(x96581))),f329(f329(f257(f911(x96581),f911(x96581)),x96582),x96582)),f150(x96581,x96583)))+P1(f329(f329(f331(f917(x96581,x96581)),f329(f329(f257(x96581,x96581),f681(x96582,x96583,x96581)),f681(x96582,x96583,x96581))),x96583)) % 166.52/166.34 [9708]P1(f329(f329(f239(f918(x97081,a905)),x97082),x97083))+~P1(f329(f329(f239(f918(x97081,a905)),f329(f329(f7(x97081,f918(x97081,a905),a905),f331(x97081)),x97082)),f329(f329(f7(x97081,f918(x97081,a905),a905),f331(x97081)),x97083))) % 166.52/166.34 [9791]E(f329(f329(f23(a910),f329(f329(f6(a910,a910),x97911),f329(f285(a910),x97912))),f329(f329(f6(a910,a910),x97913),f329(f285(a910),x97912))),f329(f329(f6(a910,a910),f329(f329(f18(a910,a910,a910),f329(f329(f8(a910,f918(a910,a910),a910),f23(a910)),x97911)),x97913)),f329(f285(a910),x97912)))+~P1(f329(f329(f239(a910),f329(x97913,f343(x97912,x97911,x97913))),f329(x97911,f343(x97912,x97911,x97913)))) % 166.52/166.34 [5747]~P79(x57471)+E(f329(f329(f82(x57471),f329(f329(f23(x57471),x57472),x57473)),x57473),x57472) % 166.52/166.34 [5748]~P79(x57481)+E(f329(f329(f23(x57481),f329(f329(f82(x57481),x57482),x57483)),x57483),x57482) % 166.52/166.34 [5974]~P79(x59741)+E(f329(f329(f82(x59741),x59742),f329(f329(f82(x59741),f329(f81(x59741),x59742)),x59743)),x59743) % 166.52/166.34 [6057]~P88(x60571)+E(f329(f329(f83(x60571),f329(f329(f249(x60571),x60572),x60573)),x60572),f329(f329(f249(x60571),x60572),f329(a117,x60573))) % 166.52/166.34 [6058]~P116(x60581)+E(f329(f329(f83(x60581),f329(f329(f249(x60581),x60582),x60583)),x60582),f329(f329(f249(x60581),x60582),f329(a117,x60583))) % 166.52/166.34 [6280]~P123(x62801)+E(f329(f77(x62801),f329(f329(f249(x62801),f329(f81(x62801),x62802)),x62803)),f329(f77(x62801),f329(f329(f249(x62801),x62802),x62803))) % 166.52/166.34 [6332]~P88(x63321)+E(f329(f329(f83(x63321),f329(f329(f249(x63321),x63322),x63323)),x63322),f329(f329(f83(x63321),x63322),f329(f329(f249(x63321),x63322),x63323))) % 166.52/166.34 [6383]E(f329(f329(f23(a104),f329(f329(f82(a104),x63831),x63832)),x63833),f277(x63831,x63832,x63833))+~P1(f329(f329(f240(a104),x63832),x63833)) % 166.52/166.34 [6406]~E(f329(f329(f141(x64061),x64063),x64062),f118(x64061))+P1(f329(f329(f239(a910),f329(f192(f911(x64061)),x64062)),x64063)) % 166.52/166.34 [6543]E(f329(f329(f83(a910),f329(f108(a910),x65431)),f329(f329(f83(a910),f329(f108(a910),x65432)),x65433)),f2(a910))+~P1(f329(f329(f240(a1),x65431),a85)) % 166.52/166.34 [6560]~P71(x65601)+E(f329(f329(f249(x65601),f329(f329(f292(x65601),f80(x65601)),x65602)),x65603),f329(f329(f292(x65601),f80(x65601)),f329(f329(f249(x65601),x65602),x65603))) % 166.52/166.34 [6639]E(f329(f329(f23(a910),f329(f329(f82(a910),x66391),x66392)),x66393),f329(f329(f23(a910),x66391),f329(f329(f23(a910),x66393),x66392)))+~P1(f329(f329(f239(a910),x66392),x66393)) % 166.52/166.34 [6640]E(f329(f329(f23(a910),f329(f329(f82(a910),x66401),x66402)),x66403),f329(f329(f82(a910),x66401),f329(f329(f23(a910),x66402),x66403)))+~P1(f329(f329(f239(a910),x66403),x66402)) % 166.52/166.34 [6677]~P2(x66771)+P1(f329(f329(f239(x66771),f329(f329(f106(x66771),x66772),x66773)),x66773)) % 166.52/166.34 [6678]~P104(x66781)+P1(f329(f329(f239(x66781),f329(f329(f106(x66781),x66782),x66783)),x66783)) % 166.52/166.34 [6679]~P2(x66791)+P1(f329(f329(f239(x66791),f329(f329(f106(x66791),x66792),x66793)),x66792)) % 166.52/166.34 [6680]~P104(x66801)+P1(f329(f329(f239(x66801),f329(f329(f106(x66801),x66802),x66803)),x66802)) % 166.52/166.34 [6681]~P112(x66811)+P1(f329(f329(f239(x66811),f329(f329(f237(x66811),x66812),x66813)),x66813)) % 166.52/166.34 [6682]~P112(x66821)+P1(f329(f329(f239(x66821),f329(f329(f237(x66821),x66822),x66823)),x66822)) % 166.52/166.34 [6696]E(f329(f329(f37(a1),f329(f329(f37(a1),x66961),x66962)),x66963),f329(f329(f37(a1),x66961),f329(f329(f83(a1),x66962),x66963)))+~P1(f329(f329(f240(a1),f2(a1)),x66963)) % 166.52/166.34 [6747]~P116(x67471)+E(f329(f329(f82(x67471),f329(f329(f83(x67471),x67472),x67473)),x67473),f329(f329(f83(x67471),f329(f329(f82(x67471),x67472),f80(x67471))),x67473)) % 166.52/166.34 [6748]~P96(x67481)+E(f329(f329(f83(x67481),f329(f81(x67481),f329(f108(x67481),x67482))),x67483),f329(f329(f83(x67481),f329(f108(x67481),f329(f81(a1),x67482))),x67483)) % 166.52/166.34 [6821]~P4(x68211)+E(f329(f168(x68211),f329(f329(f157(x68212,x68211),f329(f16(x68211,x68212),f2(x68211))),x68213)),f2(x68211)) % 166.52/166.34 [6836]E(f329(f329(f82(a910),f329(f108(a910),x68361)),f329(f329(f82(a910),f329(f108(a910),x68362)),x68363)),f329(f329(f82(a910),f329(f108(a910),x68362)),x68363))+~P1(f329(a196,f329(f108(a1),x68361))) % 166.52/166.34 [6850]~P10(x68501)+E(f39(x68501,f329(f329(f311(x68501),x68502),f329(f329(f311(x68501),x68503),f191(f918(x68501,a905))))),f329(f329(f106(x68501),x68502),x68503)) % 166.52/166.34 [6851]~P10(x68511)+E(f38(x68511,f329(f329(f311(x68511),x68512),f329(f329(f311(x68511),x68513),f191(f918(x68511,a905))))),f329(f329(f115(x68511),x68512),x68513)) % 166.52/166.34 [6874]E(f329(f329(f178(x68741),x68742),x68743),x68743)+~P1(f329(f329(f239(a910),f329(f192(f911(x68741)),x68743)),x68742)) % 166.52/166.34 [6886]E(f329(f329(f141(x68861),x68862),x68863),f118(x68861))+~P1(f329(f329(f239(a910),f329(f192(f911(x68861)),x68863)),x68862)) % 166.52/166.34 [6897]E(f329(f329(f23(a910),f329(f329(f82(a910),x68971),x68972)),x68973),f329(f329(f82(a910),f329(f329(f23(a910),x68971),x68973)),x68972))+~P1(f329(f329(f239(a910),x68973),x68971)) % 166.52/166.34 [6911]~P1(f329(f329(f240(a910),x69111),x69113))+P1(f329(f329(f240(a910),f329(f329(f23(a910),x69111),x69112)),x69113)) % 166.52/166.34 [6938]~P112(x69381)+E(f173(x69381,x69382,f329(f329(f151(x69381,x69381,f5(x69381)),x69382),x69383)),x69383) % 166.52/166.34 [7025]E(f329(f329(f23(a910),f329(f329(f82(a910),x70251),x70252)),f329(a117,x70253)),f329(f329(f23(a910),x70251),f329(a117,f329(f329(f23(a910),x70253),x70252))))+~P1(f329(f329(f239(a910),x70252),x70253)) % 166.52/166.34 [7026]~P123(x70261)+P1(f329(f329(f239(x70261),f2(x70261)),f329(f329(f249(x70261),f329(f77(x70261),x70262)),x70263))) % 166.52/166.34 [7073]P29(x70731,x70732,x70733)+~P1(f329(f329(f239(f918(f909(x70731),a905)),x70733),x70732)) % 166.52/166.34 [7115]~P1(f329(f62(x71151),x71152))+P1(f329(f62(x71151),f329(f329(f23(f918(x71151,a905)),x71152),x71153))) % 166.52/166.34 [7116]~P1(f329(f62(x71161),x71163))+P1(f329(f62(x71161),f329(f329(f106(f918(x71161,a905)),x71162),x71163))) % 166.52/166.34 [7117]~P1(f329(f62(x71171),x71172))+P1(f329(f62(x71171),f329(f329(f106(f918(x71171,a905)),x71172),x71173))) % 166.52/166.34 [7255]~P43(x72551,x72553)+P43(x72551,f329(f329(f106(f918(f917(x72551,x72551),a905)),x72552),x72553)) % 166.52/166.34 [7256]~P43(x72561,x72562)+P43(x72561,f329(f329(f106(f918(f917(x72561,x72561),a905)),x72562),x72563)) % 166.52/166.34 [7382]~P2(x73821)+E(f13(x73821,f329(f175(x73821),f329(f329(f154(x73821),x73822),x73823))),f329(f145(x73821,x73821,f115(x73821),x73822),x73823)) % 166.52/166.34 [7383]~P2(x73831)+E(f10(x73831,f329(f175(x73831),f329(f329(f154(x73831),x73832),x73833))),f329(f145(x73831,x73831,f106(x73831),x73832),x73833)) % 166.52/166.34 [7384]~P112(x73841)+E(f14(x73841,f329(f175(x73841),f329(f329(f154(x73841),x73842),x73843))),f329(f145(x73841,x73841,f238(x73841),x73842),x73843)) % 166.52/166.34 [7385]~P112(x73851)+E(f15(x73851,f329(f175(x73851),f329(f329(f154(x73851),x73852),x73853))),f329(f145(x73851,x73851,f237(x73851),x73852),x73853)) % 166.52/166.34 [7450]~P1(f329(f62(x74501),x74502))+P1(f329(f329(f239(a910),f329(f36(x74501),x74502)),f329(f36(x74501),f329(f329(f311(x74501),x74503),x74502)))) % 166.52/166.34 [7457]E(f329(f329(f115(f918(a910,a905)),f329(f304(a910,x74571),x74572)),f329(f304(a910,x74572),f329(f329(f82(a910),x74572),x74573))),f329(f304(a910,x74571),f329(f329(f82(a910),x74572),x74573)))+~P1(f329(f329(f239(a910),x74571),x74572)) % 166.52/166.34 [7468]P1(f329(f329(f239(a910),x74681),x74682))+~P1(f329(f329(f239(a910),f329(f329(f82(a910),x74683),x74681)),x74682)) % 166.52/166.34 [7469]P1(f329(f329(f239(a910),x74691),x74692))+~P1(f329(f329(f239(a910),f329(f329(f82(a910),x74691),x74693)),x74692)) % 166.52/166.34 [7470]P1(f329(f329(f240(a910),x74701),x74702))+~P1(f329(f329(f240(a910),f329(f329(f82(a910),x74701),x74703)),x74702)) % 166.52/166.34 [7507]~P112(x75071)+E(f11(x75071,f237(x75071),f329(f175(x75071),f329(f329(f154(x75071),x75072),x75073))),f329(f145(x75071,x75071,f237(x75071),x75072),x75073)) % 166.52/166.34 [7508]~P112(x75081)+E(f12(x75081,f238(x75081),f329(f175(x75081),f329(f329(f154(x75081),x75082),x75083))),f329(f145(x75081,x75081,f238(x75081),x75082),x75083)) % 166.52/166.34 [7512]~E(x75122,f191(f918(f917(x75121,x75121),a905)))+P1(f329(f329(f239(f918(f917(x75121,x75121),a905)),x75122),x75123)) % 166.52/166.34 [7621]E(f329(f329(f115(f918(x76211,a905)),x76212),f329(f329(f23(f918(x76211,a905)),x76213),x76212)),x76213)+~P1(f329(f329(f239(f918(x76211,a905)),x76212),x76213)) % 166.52/166.34 [7622]~P1(f329(f329(f239(a910),x76221),f329(f329(f82(a910),x76223),x76222)))+P1(f329(f329(f239(a910),f329(f329(f23(a910),x76221),x76222)),x76223)) % 166.52/166.34 [7623]~P1(f329(f329(f240(a910),x76231),f329(f329(f23(a910),x76233),x76232)))+P1(f329(f329(f240(a910),f329(f329(f82(a910),x76231),x76232)),x76233)) % 166.52/166.34 [7677]E(x76771,f118(x76772))+E(f329(f144(x76772),f329(f329(f329(f186(f911(x76772),f911(x76772)),x76773),f170(x76772)),x76771)),f329(f329(f167(x76772),x76771),f46(a910,x76773,f329(f192(f911(x76772)),x76771)))) % 166.52/166.34 [7686]E(f329(f329(f311(x76861),x76862),f329(f329(f23(f918(x76861,a905)),x76863),f329(f329(f311(x76861),x76862),f191(f918(x76861,a905))))),x76863)+~P1(f329(f329(f331(x76861),x76862),x76863)) % 166.52/166.34 [7847]P1(f329(f329(f239(a910),x78471),f329(f329(f82(a910),x78472),x78473)))+~P1(f329(f329(f239(a910),f329(f329(f23(a910),x78471),x78473)),x78472)) % 166.52/166.34 [7848]P1(f329(f329(f240(a910),x78481),f329(f329(f23(a910),x78482),x78483)))+~P1(f329(f329(f240(a910),f329(f329(f82(a910),x78481),x78483)),x78482)) % 166.52/166.34 [7873]P1(f329(f62(x78731),x78732))+~P1(f329(f62(x78731),f329(f329(f115(f918(x78731,a905)),x78733),x78732))) % 166.52/166.34 [7874]P1(f329(f62(x78741),x78742))+~P1(f329(f62(x78741),f329(f329(f115(f918(x78741,a905)),x78742),x78743))) % 166.52/166.34 [7953]~P53(x79531,x79533)+P1(f329(f329(f331(f917(x79531,x79531)),f329(f329(f257(x79531,x79531),x79532),x79532)),x79533)) % 166.52/166.34 [8088]E(f329(f329(f167(a910),f142(a910,f329(f304(a910,x80881),x80882))),x80883),f329(f329(f82(a910),x80881),x80883))+~P1(f329(f329(f240(a910),f329(f329(f82(a910),x80881),x80883)),x80882)) % 166.52/166.34 [8159]~P1(f329(f329(f197(f329(a26,x81591)),x81592),x81593))+P1(f329(f329(f197(f329(f236(a907),f329(a27,x81591))),x81592),x81593)) % 166.52/166.34 [8164]E(f329(f329(f178(a910),x81641),f142(a910,f329(f304(a910,x81642),x81643))),f142(a910,f329(f304(a910,x81642),f329(f329(f82(a910),x81642),x81641))))+~P1(f329(f329(f239(a910),f329(f329(f82(a910),x81642),x81641)),x81643)) % 166.52/166.34 [8221]~P96(x82211)+E(f329(f329(f249(x82211),x82212),f329(f108(a910),f329(f329(f82(a1),x82213),x82213))),f329(f329(f88(x82211,x82211),f329(f329(f249(x82211),x82212),f329(f108(a910),x82213))),f329(f329(f18(x82211,x82211,x82211),f83(x82211)),f5(x82211)))) % 166.52/166.34 [8427]P1(f329(f329(f197(f329(a26,x84271)),x84272),x84273))+~P1(f329(f329(f197(f329(f236(a907),f329(a27,x84271))),x84272),x84273)) % 166.52/166.34 [8485]E(f329(f329(f137(x84851),f329(f329(f178(x84851),x84852),x84853)),f329(f329(f154(x84851),f329(f329(f167(x84851),x84853),x84852)),f329(f329(f141(x84851),f329(a117,x84852)),x84853))),x84853)+~P1(f329(f329(f240(a910),x84852),f329(f192(f911(x84851)),x84853))) % 166.52/166.34 [8492]P1(f329(f329(f239(f918(x84921,a905)),f317(x84921,x84922)),f317(x84921,x84923)))+~P1(f329(f329(f239(f918(x84921,f918(x84921,a905))),x84923),x84922)) % 166.52/166.34 [8493]~P63(x84931,x84932,x84933)+P63(x84931,x84932,f329(f329(f23(f918(f917(x84931,x84931),a905)),x84933),f309(x84931,f191(f918(f917(x84931,x84931),a905))))) % 166.52/166.34 [8513]P1(f329(f329(f239(f918(x85131,a905)),f318(x85131,x85132)),f318(x85131,x85133)))+~P1(f329(f329(f239(f918(f917(x85131,x85131),a905)),x85133),x85132)) % 166.52/166.34 [8520]~P129(x85201)+P1(f329(f329(f239(x85201),f2(x85201)),f329(f329(f82(x85201),f329(f329(f83(x85201),x85202),x85202)),f329(f329(f83(x85201),x85203),x85203)))) % 166.52/166.34 [8555]P1(f329(f329(f239(f918(x85551,a905)),f329(f284(x85551),x85552)),f329(f284(x85551),x85553)))+~P1(f329(f329(f239(f918(f917(x85551,x85551),a905)),x85552),x85553)) % 166.52/166.34 [8590]~P61(x85901,x85902)+~P1(f329(f329(f331(f917(x85901,x85901)),f329(f329(f257(x85901,x85901),x85903),x85903)),x85902)) % 166.52/166.34 [8592]~P43(x85921,x85922)+~P1(f329(f329(f331(f917(x85921,x85921)),f329(f329(f257(x85921,x85921),x85923),x85923)),x85922)) % 166.52/166.34 [8657]P1(f329(f329(f239(f918(x86571,a905)),f39(f918(x86571,a905),x86572)),f39(f918(x86571,a905),x86573)))+~P1(f329(f329(f239(f918(f918(x86571,a905),a905)),x86573),x86572)) % 166.52/166.34 [8658]P1(f329(f329(f239(f918(x86581,a905)),f38(f918(x86581,a905),x86582)),f38(f918(x86581,a905),x86583)))+~P1(f329(f329(f239(f918(f918(x86581,a905),a905)),x86582),x86583)) % 166.52/166.34 [8711]~P13(x87111,x87113,x87112)+P1(f329(f329(f239(f918(f917(x87111,x87111),a905)),x87112),f329(f329(f259(x87111,x87111),x87113),f329(f16(f918(x87111,a905),x87111),x87113)))) % 166.52/166.34 [8712]~P60(x87121,x87123,x87122)+P1(f329(f329(f239(f918(f917(x87121,x87121),a905)),x87122),f329(f329(f259(x87121,x87121),x87123),f329(f16(f918(x87121,a905),x87121),x87123)))) % 166.52/166.34 [8758]~P89(x87581)+P1(f329(f329(f239(x87581),f329(f329(f23(x87581),f329(f77(x87581),x87582)),f329(f77(x87581),x87583))),f329(f77(x87581),f329(f329(f23(x87581),x87583),x87582)))) % 166.52/166.34 [8759]~P89(x87591)+P1(f329(f329(f239(x87591),f329(f329(f23(x87591),f329(f77(x87591),x87592)),f329(f77(x87591),x87593))),f329(f77(x87591),f329(f329(f23(x87591),x87592),x87593)))) % 166.52/166.34 [8790]P1(f329(f329(f239(f918(f917(x87901,x87901),a905)),f309(x87901,x87902)),f309(x87901,x87903)))+~P1(f329(f329(f239(f918(f917(x87901,x87901),a905)),x87902),x87903)) % 166.52/166.34 [8888]~P30(x88882,x88881,x88883,f247(f918(x88882,a905)))+E(f329(f74(x88881,x88882,x88882,f94(x88882,x88881,f247(f918(x88882,a905)),x88883)),x88883),f33(x88882)) % 166.52/166.34 [8947]P63(x89471,x89472,x89473)+~P63(x89471,x89472,f329(f329(f23(f918(f917(x89471,x89471),a905)),x89473),f309(x89471,f191(f918(f917(x89471,x89471),a905))))) % 166.52/166.34 [8965]P1(f329(f329(f239(f918(f917(f911(x89651),f911(x89651)),a905)),f160(x89651,x89652)),f160(x89651,x89653)))+~P1(f329(f329(f239(f918(f917(x89651,x89651),a905)),x89652),x89653)) % 166.52/166.34 [8966]P1(f329(f329(f239(f918(f917(f911(x89661),f911(x89661)),a905)),f161(x89661,x89662)),f161(x89661,x89663)))+~P1(f329(f329(f239(f918(f917(x89661,x89661),a905)),x89662),x89663)) % 166.52/166.34 [8987]~P60(x89871,x89873,x89872)+P1(f329(f329(f239(f918(f917(x89871,x89871),a905)),x89872),f329(f329(f291(x89871,x89871,x89871),f329(f289(x89871,x89871),x89872)),x89872))) % 166.52/166.34 [9043]~P1(f329(f140(x90431),x90432))+E(f329(f139(x90431,f329(f329(f7(x90431,f918(x90431,a905),a905),f331(x90431)),f329(f175(x90431),f179(x90431,x90432,x90433)))),x90432),f179(x90431,x90432,x90433)) % 166.52/166.34 [9097]E(x90971,x90972)+~P1(f329(f329(f331(f917(x90973,x90973)),f329(f329(f257(x90973,x90973),x90971),x90972)),f309(x90973,f191(f918(f917(x90973,x90973),a905))))) % 166.52/166.34 [9183]P1(f329(f329(f331(x91831),x91832),f318(x91831,x91833)))+P1(f329(f329(f331(f917(x91831,x91831)),f329(f329(f257(x91831,x91831),f536(x91833,x91832,x91831)),x91832)),x91833)) % 166.52/166.34 [9184]P1(f329(f329(f331(x91841),x91842),f318(x91841,x91843)))+P1(f329(f329(f331(f917(x91841,x91841)),f329(f329(f257(x91841,x91841),f585(x91843,x91842,x91841)),x91842)),x91843)) % 166.52/166.34 [9185]P1(f329(f329(f331(x91851),x91852),f318(x91851,x91853)))+P1(f329(f329(f331(f917(x91851,x91851)),f329(f329(f257(x91851,x91851),f587(x91853,x91852,x91851)),x91852)),x91853)) % 166.52/166.34 [9220]P30(x92201,x92202,x92203,f247(f918(x92201,a905)))+~E(f329(f74(x92202,x92201,x92201,f94(x92201,x92202,f247(f918(x92201,a905)),x92203)),x92203),f33(x92201)) % 166.52/166.34 [9282]~P1(f329(f329(f331(f911(x92821)),x92823),f164(x92821,x92822)))+P1(f329(f163(x92821,f329(f329(f7(x92821,f918(x92821,a905),a905),f331(x92821)),x92822)),x92823)) % 166.52/166.34 [9306]P1(f329(x93063,x93062))+E(f329(f267(x93061),f329(f329(f18(x93061,a905,a905),f329(f329(f8(a905,f918(a905,a905),x93061),a327),f329(a326,x93062))),x93063)),f191(f918(x93061,a905))) % 166.52/166.34 [9323]~P89(x93231)+P1(f329(f329(f239(x93231),f329(f77(x93231),f329(f329(f23(x93231),f329(f77(x93231),x93232)),f329(f77(x93231),x93233)))),f329(f77(x93231),f329(f329(f23(x93231),x93232),x93233)))) % 166.52/166.34 [9338]~P1(f329(x93383,x93382))+E(f329(f267(x93381),f329(f329(f18(x93381,a905,a905),f329(f329(f8(a905,f918(a905,a905),x93381),a327),f329(a326,x93382))),x93383)),f329(f329(f311(x93381),x93382),f191(f918(x93381,a905)))) % 166.52/166.34 [9345]~P1(f329(f329(f331(f918(x93451,a905)),x93453),f329(f310(x93451),x93452)))+P1(f329(f253(x93451,f329(f329(f7(x93451,f918(x93451,a905),a905),f331(x93451)),x93452)),x93453)) % 166.52/166.34 [9378]P43(x93781,x93782)+P1(f329(f329(f331(f917(x93781,x93781)),f329(f329(f257(x93781,x93781),f329(f545(x93782,x93781),f329(a117,x93783))),f329(f545(x93782,x93781),x93783))),x93782)) % 166.52/166.34 [9516]P1(f329(f329(f331(f911(x95161)),x95162),f164(x95161,x95163)))+~P1(f329(f163(x95161,f329(f329(f7(x95161,f918(x95161,a905),a905),f331(x95161)),x95163)),x95162)) % 166.52/166.34 [9528]P1(f329(f329(f331(f918(x95281,a905)),x95282),f329(f310(x95281),x95283)))+~P1(f329(f253(x95281,f329(f329(f7(x95281,f918(x95281,a905),a905),f331(x95281)),x95283)),x95282)) % 166.52/166.34 [9591]P1(f329(f329(f331(x95911),f329(f273(x95911,x95912),x95913)),f329(f175(x95911),f329(f329(f157(f917(a104,x95911),x95911),f261(a104,x95911)),x95912))))+~P1(f329(f329(f240(a104),x95913),f329(f168(a104),f329(f329(f157(f917(a104,x95911),a104),f256(a104,x95911)),x95912)))) % 166.52/166.34 [9638]P1(f329(f329(f239(f918(f917(f911(x96381),f911(x96381)),a905)),f161(x96381,x96382)),f329(f329(f259(f911(x96381),f911(x96381)),f164(x96381,x96383)),f329(f16(f918(f911(x96381),a905),f911(x96381)),f164(x96381,x96383)))))+~P1(f329(f329(f239(f918(f917(x96381,x96381),a905)),x96382),f329(f329(f259(x96381,x96381),x96383),f329(f16(f918(x96381,a905),x96381),x96383)))) % 166.52/166.34 [9661]P1(f329(f329(f331(x96611),f329(f256(x96611,f917(a104,a104)),f329(f271(x96611,x96612),x96613))),f329(f175(x96611),f329(f329(f157(f917(a104,x96611),x96611),f261(a104,x96611)),x96612))))+~P1(f329(f329(f240(a104),f2(a104)),f329(f168(a104),f329(f329(f157(f917(a104,x96611),a104),f256(a104,x96611)),x96612)))) % 166.52/166.34 [9676]~P1(f329(f329(f239(f918(f917(x96761,x96761),a905)),x96762),f329(f329(f259(x96761,x96761),x96763),f329(f16(f918(x96761,a905),x96761),x96763))))+P1(f329(f329(f239(f918(f917(x96761,x96761),a905)),f329(f329(f291(x96761,x96761,x96761),x96762),f309(x96761,x96762))),f329(f329(f259(x96761,x96761),x96763),f329(f16(f918(x96761,a905),x96761),x96763)))) % 166.52/166.34 [9977]~P43(x99771,x99772)+~P1(f329(f329(f331(f917(x99771,x99771)),f329(f329(f257(x99771,x99771),f329(x99773,f329(a117,f544(x99772,x99771,x99773)))),f329(x99773,f544(x99772,x99771,x99773)))),x99772)) % 166.52/166.34 [9978]~P43(x99781,x99782)+~P1(f329(f329(f331(f917(x99781,x99781)),f329(f329(f257(x99781,x99781),f329(x99783,f329(a117,f593(x99783,x99782,x99781)))),f329(x99783,f593(x99783,x99782,x99781)))),x99782)) % 166.52/166.34 [10223]P1(f329(f329(f239(f918(f917(f918(x102231,a905),f918(x102231,a905)),a905)),f329(f329(f291(f918(x102231,a905),f918(x102231,a905),f918(x102231,a905)),f322(x102231,x102232)),f329(f329(f115(f918(f917(f918(x102231,a905),f918(x102231,a905)),a905)),f322(x102231,x102233)),f329(f329(f311(f917(f918(x102231,a905),f918(x102231,a905))),f329(f329(f257(f918(x102231,a905),f918(x102231,a905)),f191(f918(x102231,a905))),f191(f918(x102231,a905)))),f191(f918(f917(f918(x102231,a905),f918(x102231,a905)),a905)))))),f322(x102231,x102232)))+~P1(f329(f329(f239(f918(f917(x102231,x102231),a905)),f329(f329(f291(x102231,x102231,x102231),x102232),x102233)),x102232)) % 166.52/166.34 [10224]P1(f329(f329(f239(f918(f917(f918(x102241,a905),f918(x102241,a905)),a905)),f329(f329(f291(f918(x102241,a905),f918(x102241,a905),f918(x102241,a905)),f320(x102241,x102242)),f329(f329(f115(f918(f917(f918(x102241,a905),f918(x102241,a905)),a905)),f320(x102241,x102243)),f329(f329(f311(f917(f918(x102241,a905),f918(x102241,a905))),f329(f329(f257(f918(x102241,a905),f918(x102241,a905)),f191(f918(x102241,a905))),f191(f918(x102241,a905)))),f191(f918(f917(f918(x102241,a905),f918(x102241,a905)),a905)))))),f320(x102241,x102242)))+~P1(f329(f329(f239(f918(f917(x102241,x102241),a905)),f329(f329(f291(x102241,x102241,x102241),x102242),x102243)),x102242)) % 166.52/166.34 [7381]~P1(f329(f329(f239(a910),x73812),x73811))+E(f329(f329(f23(a910),f329(a117,f329(f329(f23(a910),x73811),x73812))),x73813),f329(f329(f23(a910),f329(a117,x73811)),f329(f329(f82(a910),x73812),x73813))) % 166.52/166.34 [7420]~P68(x74201)+E(f329(f329(f82(x74201),f46(x74201,x74202,x74203)),f329(f329(f83(x74201),f329(f329(f37(x74201),x74202),x74203)),x74203)),x74202) % 166.52/166.34 [7627]E(f329(f329(f83(a910),f329(f108(a910),x76271)),f329(f329(f83(a910),f329(f108(a910),x76272)),x76273)),f329(f329(f83(a910),f329(f108(a910),f329(f329(f83(a1),x76271),x76272))),x76273))+P1(f329(f329(f240(a1),x76271),a85)) % 166.52/166.34 [8099]~P1(f329(f329(f239(a910),x80993),x80992))+P1(f329(f329(f239(a910),x80991),f329(f329(f23(a910),f329(f329(f82(a910),x80992),x80991)),x80993))) % 166.52/166.34 [8305]~P1(f329(f329(f239(a910),x83051),x83052))+E(f329(f329(f137(a910),f142(a910,f329(f304(a910,x83051),x83052))),f142(a910,f329(f304(a910,x83052),f329(f329(f82(a910),x83052),x83053)))),f142(a910,f329(f304(a910,x83051),f329(f329(f82(a910),x83052),x83053)))) % 166.52/166.34 [8564]~P1(f329(f62(x85641),x85642))+E(f329(a117,f329(f36(x85641),f329(f329(f23(f918(x85641,a905)),x85642),f329(f329(f311(x85641),x85643),f191(f918(x85641,a905)))))),f329(f36(x85641),f329(f329(f311(x85641),x85643),x85642))) % 166.52/166.34 [8611]~P1(f329(f62(x86111),x86112))+E(f329(f329(f82(a910),f80(a910)),f329(f36(x86111),f329(f329(f23(f918(x86111,a905)),x86112),f329(f329(f311(x86111),x86113),f191(f918(x86111,a905)))))),f329(f36(x86111),f329(f329(f311(x86111),x86113),x86112))) % 166.52/166.34 [8798]E(f329(f329(f23(a910),f329(f36(x87981),x87982)),f329(f36(x87981),f329(f329(f106(f918(x87981,a905)),x87982),x87983))),f329(f36(x87981),f329(f329(f23(f918(x87981,a905)),x87982),x87983)))+~P1(f329(f62(x87981),f329(f329(f106(f918(x87981,a905)),x87982),x87983))) % 166.52/166.34 [9038]~P11(f329(x90382,f393(x90382,x90383,x90381)))+E(f329(f105(a1),f329(f329(f6(x90381,a910),f329(f329(f8(a1,a910,x90381),a109),x90382)),x90383)),f329(f329(f6(x90381,a1),x90382),x90383)) % 166.52/166.34 [9039]~P11(f329(x90392,f471(x90392,x90393,x90391)))+E(f329(f105(a1),f329(f329(f9(x90391,a910),f329(f329(f8(a1,a910,x90391),a109),x90392)),x90393)),f329(f329(f9(x90391,a1),x90392),x90393)) % 166.52/166.34 [9081]~P1(f329(f62(x90811),x90813))+P1(f329(f329(f239(a910),f329(f329(f23(a910),f329(f36(x90811),x90812)),f329(f36(x90811),x90813))),f329(f36(x90811),f329(f329(f23(f918(x90811,a905)),x90812),x90813)))) % 166.52/166.34 [9108]P1(f329(f329(f331(x91081),f393(x91082,x91083,x91081)),x91083))+E(f329(f105(a1),f329(f329(f6(x91081,a910),f329(f329(f8(a1,a910,x91081),a109),x91082)),x91083)),f329(f329(f6(x91081,a1),x91082),x91083)) % 166.52/166.34 [9109]P1(f329(f329(f331(x91091),f471(x91092,x91093,x91091)),x91093))+E(f329(f105(a1),f329(f329(f9(x91091,a910),f329(f329(f8(a1,a910,x91091),a109),x91092)),x91093)),f329(f329(f9(x91091,a1),x91092),x91093)) % 166.52/166.34 [9175]E(f87(x91751,f329(f329(f7(x91751,f918(x91751,a905),a905),f331(x91751)),f329(f329(f23(f918(x91751,a905)),x91752),f329(f329(f311(x91751),x91753),f191(f918(x91751,a905)))))),f252(x91751,x91753,x91752))+P1(f329(f329(f239(f918(x91751,a905)),x91752),f329(f329(f311(x91751),x91753),f191(f918(x91751,a905))))) % 166.52/166.34 [9529]E(f329(f329(f157(f911(x95291),x95291),f329(f329(f7(f911(x95291),a910,x95291),f167(x95291)),x95292)),f329(f139(f911(x95291),f329(f329(f8(a910,a905,f911(x95291)),f329(f240(a910),x95292)),f192(f911(x95291)))),x95293)),f329(f329(f167(f911(x95291)),f182(x95291,x95293)),x95292))+~P1(f329(f329(f240(a910),x95292),f329(f192(f911(f911(x95291))),f182(x95291,x95293)))) % 166.52/166.34 [9611]E(f329(f139(x96111,x96112),x96113),f180(x96111,x96112,x96113))+P1(f329(f329(f331(x96111),f744(x96113,x96112,x96111)),f329(f175(x96111),f329(f329(f141(x96111),f329(f192(f911(x96111)),f180(x96111,x96112,x96113))),x96113)))) % 166.52/166.34 [9751]E(f329(f329(f141(x97511),f329(f192(f911(x97511)),f180(x97511,x97512,x97513))),x97513),f118(x97511))+~P1(f329(x97512,f329(f144(x97511),f329(f329(f141(x97511),f329(f192(f911(x97511)),f180(x97511,x97512,x97513))),x97513)))) % 166.52/166.34 [9844]~P1(f329(f329(f331(f917(x98441,x98441)),x98442),f309(x98441,x98443)))+P1(f329(f329(f331(f917(x98441,x98441)),x98442),f329(f329(f40(a910,f918(f917(x98441,x98441),a905)),f247(f918(a910,a905))),f329(f329(f7(a910,f918(f917(x98441,x98441),a905),f918(f917(x98441,x98441),a905)),f186(f917(x98441,x98441),a905)),x98443)))) % 166.52/166.34 [9903]~P1(f329(f329(f239(f918(x99031,a905)),f329(f329(f40(a910,f918(x99031,a905)),f329(f304(a910,f2(a910)),f457(x99033,x99032,x99031))),x99032)),x99033))+P1(f329(f329(f239(f918(x99031,a905)),f329(f329(f40(a910,f918(x99031,a905)),f247(f918(a910,a905))),x99032)),x99033)) % 166.52/166.34 [9952]~P1(f329(f329(f240(a1),f2(a1)),x99523))+P1(f329(f329(f240(a1),x99521),f329(f329(f82(a1),x99522),f329(f329(f83(a1),f329(f329(f82(a1),f329(f77(a1),f329(f329(f23(a1),x99522),x99521))),f80(a1))),x99523)))) % 166.52/166.34 [9964]~P43(x99641,f329(f329(f115(f918(f917(x99641,x99641),a905)),x99642),x99643))+P43(x99641,f329(f329(f115(f918(f917(x99641,x99641),a905)),f329(f329(f115(f918(f917(x99641,x99641),a905)),f329(f329(f291(x99641,x99641,x99641),x99642),x99642)),f329(f329(f291(x99641,x99641,x99641),x99643),x99642))),x99643)) % 166.52/166.34 [10037]P43(x100371,f329(f329(f115(f918(f917(x100371,x100371),a905)),x100372),x100373))+~P43(x100371,f329(f329(f115(f918(f917(x100371,x100371),a905)),f329(f329(f115(f918(f917(x100371,x100371),a905)),f329(f329(f291(x100371,x100371,x100371),x100372),x100372)),f329(f329(f291(x100371,x100371,x100371),x100373),x100372))),x100373)) % 166.52/166.34 [9614]~P120(x96141)+E(f329(f107(x96141),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x96142),x96143)),f191(f918(f917(a910,a910),a905)))))),f329(f329(f23(x96141),f329(f105(x96141),x96142)),f329(f105(x96141),x96143))) % 166.52/166.34 [9696]P1(f329(x96963,x96962))+E(f329(f267(x96961),f329(f329(f18(x96961,a905,a905),f329(f329(f8(a905,f918(a905,a905),x96961),a327),f329(f329(f7(x96961,x96961,a905),a326),x96962))),x96963)),f191(f918(x96961,a905))) % 166.52/166.34 [9698]~P1(f329(x96983,x96982))+E(f329(f267(x96981),f329(f329(f18(x96981,a905,a905),f329(f329(f8(a905,f918(a905,a905),x96981),a327),f329(f329(f7(x96981,x96981,a905),a326),x96982))),x96983)),f329(f329(f311(x96981),x96982),f191(f918(x96981,a905)))) % 166.52/166.34 [9931]E(x99311,x99312)+P1(f329(f329(f248(x99313,x99313,f329(f329(f8(f918(x99313,a905),f918(x99313,a905),x99313),f329(f8(a905,a905,x99313),a324)),a326)),x99311),x99312)) % 166.52/166.34 [10017]~E(x100171,x100172)+~P1(f329(f329(f248(x100173,x100173,f329(f329(f8(f918(x100173,a905),f918(x100173,a905),x100173),f329(f8(a905,a905,x100173),a324)),a326)),x100171),x100172)) % 166.52/166.34 [10029]~P1(f329(f62(x100291),x100293))+E(f329(f329(f65(x100291,f918(x100291,a905),f329(f329(f8(f918(x100291,a905),f918(f918(x100291,a905),f918(x100291,a905)),x100291),f329(f7(f918(x100291,a905),f918(x100291,a905),f918(x100291,a905)),f23(f918(x100291,a905)))),f329(f329(f7(x100291,f918(x100291,a905),f918(x100291,a905)),f311(x100291)),f191(f918(x100291,a905))))),x100292),x100293),f329(f329(f23(f918(x100291,a905)),x100292),x100293)) % 166.52/166.34 [10061]~P1(f329(f329(f240(a1),f2(a1)),x100613))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x100611),f329(f329(f83(a1),f329(f329(f82(a1),f329(f77(a1),f329(f329(f23(a1),x100611),x100612))),f80(a1))),x100613))),x100612)) % 166.52/166.34 [10302]~P1(f329(f329(f331(x103021),x103023),f318(x103021,x103022)))+P1(f329(f317(x103021,f329(f329(f7(x103021,f918(f917(x103021,x103021),a905),f918(x103021,a905)),f329(f329(f8(f918(x103021,f918(f918(f917(x103021,x103021),a905),a905)),f918(f918(f917(x103021,x103021),a905),f918(x103021,a905)),x103021),f7(x103021,f918(f917(x103021,x103021),a905),a905)),f329(f329(f8(f918(x103021,f917(x103021,x103021)),f918(x103021,f918(f918(f917(x103021,x103021),a905),a905)),x103021),f329(f8(f917(x103021,x103021),f918(f918(f917(x103021,x103021),a905),a905),x103021),f331(f917(x103021,x103021)))),f257(x103021,x103021)))),x103022)),x103023)) % 166.52/166.34 [10315]P1(f329(f329(f331(x103151),x103152),f318(x103151,x103153)))+~P1(f329(f317(x103151,f329(f329(f7(x103151,f918(f917(x103151,x103151),a905),f918(x103151,a905)),f329(f329(f8(f918(x103151,f918(f918(f917(x103151,x103151),a905),a905)),f918(f918(f917(x103151,x103151),a905),f918(x103151,a905)),x103151),f7(x103151,f918(f917(x103151,x103151),a905),a905)),f329(f329(f8(f918(x103151,f917(x103151,x103151)),f918(x103151,f918(f918(f917(x103151,x103151),a905),a905)),x103151),f329(f8(f917(x103151,x103151),f918(f918(f917(x103151,x103151),a905),a905),x103151),f331(f917(x103151,x103151)))),f257(x103151,x103151)))),x103153)),x103152)) % 166.52/166.34 [9901]~P1(f329(f62(x99011),f329(f267(x99011),x99013)))+P1(f329(f62(x99011),f329(f267(x99011),f329(f329(f18(x99011,a905,a905),f329(f329(f8(a905,f918(a905,a905),x99011),a327),x99012)),x99013)))) % 166.52/166.34 [9902]~P1(f329(f62(x99021),f329(f267(x99021),x99022)))+P1(f329(f62(x99021),f329(f267(x99021),f329(f329(f18(x99021,a905,a905),f329(f329(f8(a905,f918(a905,a905),x99021),a327),x99022)),x99023)))) % 166.52/166.34 [9996]P1(f329(f62(x99961),f329(f267(x99961),x99962)))+~P1(f329(f62(x99961),f329(f267(x99961),f329(f329(f18(x99961,a905,a905),f329(f329(f8(a905,f918(a905,a905),x99961),a328),x99963)),x99962)))) % 166.52/166.34 [9997]P1(f329(f62(x99971),f329(f267(x99971),x99972)))+~P1(f329(f62(x99971),f329(f267(x99971),f329(f329(f18(x99971,a905,a905),f329(f329(f8(a905,f918(a905,a905),x99971),a328),x99972)),x99973)))) % 166.52/166.34 [10282]~P1(f329(f62(x102821),x102822))+P1(f329(f62(f911(x102821)),f329(f267(f911(x102821)),f329(f329(f18(f911(x102821),a905,a905),f329(f329(f8(a905,f918(a905,a905),f911(x102821)),a327),f329(f329(f7(f911(x102821),f918(x102821,a905),a905),f329(f329(f8(f918(x102821,a905),f918(f918(x102821,a905),a905),f911(x102821)),f239(f918(x102821,a905))),f175(x102821))),x102822))),f329(f329(f7(f911(x102821),a910,a905),f329(f329(f8(a910,f918(a910,a905),f911(x102821)),a326),f192(f911(x102821)))),x102823))))) % 166.52/166.34 [10283]~P1(f329(f62(x102831),x102832))+P1(f329(f62(f911(x102831)),f329(f267(f911(x102831)),f329(f329(f18(f911(x102831),a905,a905),f329(f329(f8(a905,f918(a905,a905),f911(x102831)),a327),f329(f329(f7(f911(x102831),f918(x102831,a905),a905),f329(f329(f8(f918(x102831,a905),f918(f918(x102831,a905),a905),f911(x102831)),f239(f918(x102831,a905))),f175(x102831))),x102832))),f329(f329(f7(f911(x102831),a910,a905),f329(f329(f8(a910,f918(a910,a905),f911(x102831)),f239(a910)),f192(f911(x102831)))),x102833))))) % 166.52/166.34 [10010]~P116(x100101)+E(f329(f329(f249(x100101),x100102),f329(f329(f83(a910),f329(f108(a910),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)))),x100103)),f329(f329(f83(x100101),f329(f329(f249(x100101),x100102),x100103)),f329(f329(f249(x100101),x100102),x100103))) % 166.52/166.34 [10042]~P88(x100421)+E(f329(f329(f249(x100421),f329(f329(f249(x100421),x100422),x100423)),f329(f108(a910),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(x100421),x100422),f329(f329(f83(a910),f329(f108(a910),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)))),x100423))) % 166.52/166.34 [10087]~P120(x100871)+E(f329(f329(f249(x100871),f329(f81(x100871),x100872)),f329(f329(f83(a910),f329(f108(a910),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)))),x100873)),f329(f329(f249(x100871),x100872),f329(f329(f83(a910),f329(f108(a910),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)))),x100873))) % 166.52/166.34 [10230]~P123(x102301)+P1(f329(f329(f239(x102301),f2(x102301)),f329(f329(f82(x102301),f329(f329(f249(x102301),x102302),f329(f108(a910),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(x102301),x102303),f329(f108(a910),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))))))) % 166.52/166.34 [10097]~P116(x100971)+E(f329(f329(f249(x100971),x100972),f329(a117,f329(f329(f83(a910),f329(f108(a910),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)))),x100973))),f329(f329(f83(x100971),x100972),f329(f329(f83(x100971),f329(f329(f249(x100971),x100972),x100973)),f329(f329(f249(x100971),x100972),x100973)))) % 166.52/166.34 [10146]~P88(x101461)+E(f329(f329(f83(x101461),x101462),f329(f329(f249(x101461),f329(f329(f249(x101461),x101462),x101463)),f329(f108(a910),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(x101461),x101462),f329(a117,f329(f329(f83(a910),f329(f108(a910),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)))),x101463)))) % 166.52/166.34 [10184]~P123(x101841)+P1(f329(f329(f239(x101841),f2(x101841)),f329(f329(f249(x101841),x101842),f329(f329(f83(a910),f329(f108(a910),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)))),x101843)))) % 166.52/166.34 [10260]~P96(x102601)+E(f329(f329(f82(x102601),f329(f329(f82(x102601),f329(f329(f249(x102601),x102602),f329(f108(a910),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(x102601),x102603),f329(f108(a910),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(x102601),f329(f329(f83(x102601),f329(f108(x102601),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)))),x102602)),x102603)),f329(f329(f249(x102601),f329(f329(f82(x102601),x102602),x102603)),f329(f108(a910),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))))) % 166.52/166.34 [10261]~P96(x102611)+E(f329(f329(f23(x102611),f329(f329(f82(x102611),f329(f329(f249(x102611),x102612),f329(f108(a910),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(x102611),x102613),f329(f108(a910),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(x102611),f329(f329(f83(x102611),f329(f108(x102611),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)))),x102612)),x102613)),f329(f329(f249(x102611),f329(f329(f23(x102611),x102612),x102613)),f329(f108(a910),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))))) % 166.52/166.34 [4781]E(x47811,x47812)+~E(f32(x47813,x47811),f32(x47814,x47812)) % 166.52/166.34 [4782]E(x47821,x47822)+~E(f32(x47821,x47823),f32(x47822,x47824)) % 166.52/166.34 [4783]E(x47831,x47832)+~E(f31(x47833,x47831),f31(x47834,x47832)) % 166.52/166.34 [4784]E(x47841,x47842)+~E(f31(x47841,x47843),f31(x47842,x47844)) % 166.52/166.34 [5938]P48(f31(x59381,x59383),x59382,x59384,x59382)+P1(f329(x59381,x59382)) % 166.52/166.34 [7062]~P48(x70621,x70622,x70623,x70624)+P48(x70621,x70622,f329(a117,x70623),x70624) % 166.52/166.34 [7892]P30(x78921,x78922,x78923,x78924)+~E(f656(x78924,x78923,x78922,x78921),f663(x78924,x78923,x78922,x78921)) % 166.52/166.34 [8197]P40(x81971,x81972,x81973,x81974,f118(x81972))+~E(x81974,f118(x81971)) % 166.52/166.34 [8198]P40(x81981,x81982,x81983,f118(x81981),x81984)+~E(x81984,f118(x81982)) % 166.52/166.34 [8748]~P40(x87482,x87483,x87484,x87481,f118(x87483))+E(x87481,f118(x87482)) % 166.52/166.34 [8749]~P40(x87493,x87492,x87494,f118(x87493),x87491)+E(x87491,f118(x87492)) % 166.52/166.34 [5163]~P22(x51633,x51631,x51634)+E(f329(f329(x51631,x51632),x51632),x51632) % 166.52/166.34 [5419]P1(f329(x54192,x54194))+E(f329(f139(x54191,x54192),f172(x54191,x54193,x54194)),f118(x54191)) % 166.52/166.34 [5456]~E(x54564,f191(f918(x54561,a905)))+E(f329(f312(x54561,x54562,x54563),x54564),f191(f918(x54562,a905))) % 166.52/166.34 [5696]~P1(f329(x56962,x56964))+E(f329(f139(x56961,x56962),f172(x56961,x56963,x56964)),f172(x56961,x56963,x56964)) % 166.52/166.34 [5726]~E(f329(f312(x57262,x57263,x57264),x57261),f191(f918(x57263,a905)))+E(x57261,f191(f918(x57262,a905))) % 166.52/166.34 [6017]~P112(x60172)+E(f329(f329(f151(x60171,x60172,x60173),x60174),f118(x60171)),f329(f329(f154(x60171),x60174),f118(x60171))) % 166.52/166.34 [6377]~E(x63771,f191(f918(x63772,a905)))+~P1(f329(f63(x63772,x63773,x63771),x63774)) % 166.52/166.34 [6399]~P66(x63991,x63993,x63994,x63992)+P1(f329(f62(x63991),x63992)) % 166.52/166.34 [6401]~P66(x64011,x64013,x64012,x64014)+P1(f329(f62(x64011),x64012)) % 166.52/166.34 [6408]~P66(x64082,x64083,x64084,x64081)+~E(x64081,f191(f918(x64082,a905))) % 166.52/166.34 [6439]~P114(x64391)+E(f329(f329(f106(f918(x64391,a905)),f329(f304(x64391,x64392),x64393)),f305(x64391,x64393,x64394)),f191(f918(x64391,a905))) % 166.52/166.34 [6466]~P1(f329(f329(x64663,x64664),x64662))+P1(f329(f329(f331(x64661),x64662),f295(x64661,x64663,x64664))) % 166.52/166.34 [6467]~P1(f329(f329(x64673,x64674),x64672))+P1(f329(f329(f331(x64671),x64672),f296(x64671,x64673,x64674))) % 166.52/166.34 [6468]~P1(f329(f329(x64683,x64682),x64684))+P1(f329(f329(f331(x64681),x64682),f300(x64681,x64683,x64684))) % 166.52/166.34 [6469]~P1(f329(f329(x64693,x64692),x64694))+P1(f329(f329(f331(x64691),x64692),f297(x64691,x64693,x64694))) % 166.52/166.34 [6613]~P114(x66131)+E(f329(f329(f106(f918(x66131,a905)),f305(x66131,x66132,x66133)),f307(x66131,x66133,x66134)),f191(f918(x66131,a905))) % 166.52/166.34 [6614]~P114(x66141)+E(f329(f329(f106(f918(x66141,a905)),f305(x66141,x66142,x66143)),f308(x66141,x66143,x66144)),f191(f918(x66141,a905))) % 166.52/166.34 [6615]~P114(x66151)+E(f329(f329(f106(f918(x66151,a905)),f307(x66151,x66152,x66153)),f307(x66151,x66153,x66154)),f191(f918(x66151,a905))) % 166.52/166.34 [6616]~P114(x66161)+E(f329(f329(f106(f918(x66161,a905)),f307(x66161,x66162,x66163)),f308(x66161,x66163,x66164)),f191(f918(x66161,a905))) % 166.52/166.34 [6617]~P114(x66171)+E(f329(f329(f106(f918(x66171,a905)),f308(x66171,x66172,x66173)),f305(x66171,x66173,x66174)),f191(f918(x66171,a905))) % 166.52/166.34 [6654]P1(f329(f329(x66541,x66542),f550(x66542,x66541)))+~P1(f329(f254(x66543,x66544,x66541),x66542)) % 166.52/166.34 [6734]~P112(x67342)+E(f329(f175(x67341),f153(x67341,x67342,x67343,x67344)),f329(f175(x67341),x67344)) % 166.52/166.34 [6785]~P109(x67851)+E(f193(x67851,x67852,f329(a117,x67853),x67854),f193(x67851,x67852,x67853,f329(x67852,x67854))) % 166.52/166.34 [6845]~P1(f329(f329(f331(x68454),x68453),f295(x68454,x68451,x68452)))+P1(f329(f329(x68451,x68452),x68453)) % 166.52/166.34 [6846]~P1(f329(f329(f331(x68464),x68463),f296(x68464,x68461,x68462)))+P1(f329(f329(x68461,x68462),x68463)) % 166.52/166.34 [6847]~P1(f329(f329(f331(x68474),x68472),f300(x68474,x68471,x68473)))+P1(f329(f329(x68471,x68472),x68473)) % 166.52/166.34 [6848]~P1(f329(f329(f331(x68484),x68482),f297(x68484,x68481,x68483)))+P1(f329(f329(x68481,x68482),x68483)) % 166.52/166.34 [6923]E(f329(f36(f916(x69231,x69232)),f315(x69231,x69232,x69233,x69234)),f2(a910))+P1(f329(f62(x69232),x69234)) % 166.52/166.34 [6924]E(f329(f36(f916(x69241,x69242)),f315(x69241,x69242,x69243,x69244)),f2(a910))+P1(f329(f62(x69241),x69243)) % 166.52/166.34 [7124]~P19(x71244,x71241,x71242)+E(f329(f74(x71241,x71241,x71241,f329(x71242,x71243)),f329(x71242,x71243)),f329(x71242,x71243)) % 166.52/166.34 [7366]E(f280(x73661,x73662,x73663,x73664),f329(f257(f918(a104,f918(a905,f914(f912(x73661)))),f917(a104,a104)),f42(x73661)))+~P1(f329(f329(f239(a104),x73663),f2(a104))) % 166.52/166.34 [7428]~P48(f329(a26,x74281),x74282,f329(a117,x74283),x74284)+P48(f329(f236(a907),f329(a27,x74281)),x74282,x74283,x74284) % 166.52/166.34 [7462]P48(f329(a26,x74621),x74622,f329(a117,x74623),x74624)+~P48(f329(f236(a907),f329(a27,x74621)),x74622,x74623,x74624) % 166.52/166.34 [7748]~P48(f329(a26,x77484),x77483,x77482,x77481)+E(f329(a117,f437(x77481,x77482,x77483,x77484)),x77482) % 166.52/166.34 [8019]~E(x80192,x80193)+P1(f329(f329(f331(f917(x80191,x80191)),f329(f329(f257(x80191,x80191),x80192),x80193)),f309(x80191,x80194))) % 166.52/166.34 [8048]~P30(x80481,x80482,x80483,f247(f918(x80481,a905)))+E(f329(f79(x80481,x80482,f247(f918(x80481,a905)),x80483),f329(x80483,x80484)),x80484) % 166.52/166.34 [8049]~P30(x80491,x80492,x80493,f247(f918(x80491,a905)))+E(f329(f94(x80491,x80492,f247(f918(x80491,a905)),x80493),f329(x80493,x80494)),x80494) % 166.52/166.34 [8142]~P1(f329(f329(f331(f911(x81421)),f329(f329(f154(x81421),x81424),x81422)),f164(x81421,x81423)))+P1(f329(f329(f331(f911(x81421)),x81422),f164(x81421,x81423))) % 166.52/166.34 [8143]~P1(f329(f329(f331(f911(x81431)),f329(f329(f137(x81431),x81434),x81432)),f164(x81431,x81433)))+P1(f329(f329(f331(f911(x81431)),x81432),f164(x81431,x81433))) % 166.52/166.34 [8144]~P1(f329(f329(f331(f911(x81441)),f329(f329(f137(x81441),x81442),x81444)),f164(x81441,x81443)))+P1(f329(f329(f331(f911(x81441)),x81442),f164(x81441,x81443))) % 166.52/166.34 [8160]~P112(x81601)+P18(x81601,f329(f329(f157(x81602,x81601),x81603),f153(x81602,x81601,x81603,x81604))) % 166.52/166.34 [8228]~P48(f329(a26,x82281),x82282,x82284,x82283)+P48(f329(f236(a907),f329(a27,x82281)),x82282,f437(x82283,x82284,x82282,x82281),x82283) % 166.52/166.34 [8262]P30(x82624,x82623,x82621,x82622)+E(f329(x82621,f656(x82622,x82621,x82623,x82624)),f329(x82621,f663(x82622,x82621,x82623,x82624))) % 166.52/166.34 [8370]~P30(x83702,x83701,x83704,x83703)+P30(x83701,x83702,f79(x83702,x83701,x83703,x83704),f329(f312(x83702,x83701,x83704),x83703)) % 166.52/166.34 [8511]P43(f917(x85112,x85114),f283(x85112,x85114,x85111,x85113))+P1(f329(x85111,f542(x85112,x85113,x85114,x85111))) % 166.52/166.34 [8638]E(x86381,x86382)+~P1(f329(f329(f331(f917(x86383,x86383)),f329(f329(f257(x86383,x86383),x86381),x86382)),f268(x86383,x86384))) % 166.52/166.34 [8703]~P1(f329(f62(f916(x87033,x87031)),f315(x87033,x87031,x87034,x87032)))+P1(f329(f62(x87031),x87032)) % 166.52/166.34 [8704]~P1(f329(f62(f916(x87041,x87043)),f315(x87041,x87043,x87042,x87044)))+P1(f329(f62(x87041),x87042)) % 166.52/166.34 [8881]P43(f917(x88811,x88812),f283(x88811,x88812,x88813,x88814))+~P43(x88812,f329(x88814,f542(x88811,x88814,x88812,x88813))) % 166.52/166.34 [9453]E(f329(f329(f162(x94531,x94532),f692(x94533,x94534,x94532,x94531)),f693(x94533,x94534,x94532,x94531)),x94534)+~P1(f329(f329(f331(f917(f911(x94531),f911(x94531))),f329(f329(f257(f911(x94531),f911(x94531)),x94532),x94534)),f160(x94531,x94533))) % 166.52/166.34 [9458]~P1(f329(f329(f331(f917(f911(x94581),f911(x94581))),f329(f329(f257(f911(x94581),f911(x94581)),x94582),x94583)),f148(x94581,x94584)))+P1(f329(f329(f331(f917(f911(x94581),f911(x94581))),f329(f329(f257(f911(x94581),f911(x94581)),x94582),x94583)),f150(x94581,x94584))) % 166.52/166.34 [9567]P1(f329(f62(x95671),x95672))+~P1(f329(f329(f331(f917(f918(x95671,a905),f918(x95671,a905))),f329(f329(f257(f918(x95671,a905),f918(x95671,a905)),x95673),x95672)),f320(x95671,x95674))) % 166.52/166.34 [9568]P1(f329(f62(x95681),x95682))+~P1(f329(f329(f331(f917(f918(x95681,a905),f918(x95681,a905))),f329(f329(f257(f918(x95681,a905),f918(x95681,a905)),x95682),x95683)),f320(x95681,x95684))) % 166.52/166.34 [9571]~E(x95711,f191(f918(x95712,a905)))+~P1(f329(f329(f331(f917(f918(x95712,a905),f918(x95712,a905))),f329(f329(f257(f918(x95712,a905),f918(x95712,a905)),x95713),x95711)),f320(x95712,x95714))) % 166.52/166.34 [10195]P16(x101951,x101952,x101953,x101954)+~P1(f329(f329(f262(x101951,x101951,a905),f329(f329(f7(x101951,f918(x101951,x101952),f918(x101951,a905)),f329(f329(f8(f918(x101952,a905),f918(f918(x101951,x101952),f918(x101951,a905)),x101951),f8(x101952,a905,x101951)),f329(f329(f8(x101952,f918(x101952,a905),x101951),a326),x101954))),x101954)),f522(x101954,x101953,x101952,x101951))) % 166.52/166.34 [5064]~E(x50642,f118(x50641))+E(f329(f329(f162(x50641,x50642),x50643),x50644),f118(x50641)) % 166.52/166.34 [5065]~E(x50654,f118(x50651))+E(f329(f329(f157(x50651,x50652),x50653),x50654),f118(x50652)) % 166.52/166.34 [5302]E(x53021,f118(x53022))+~E(f329(f329(f157(x53022,x53023),x53024),x53021),f118(x53023)) % 166.52/166.34 [5303]E(x53031,f118(x53032))+~E(f329(f329(f162(x53032,x53031),x53033),x53034),f118(x53032)) % 166.52/166.34 [5339]E(x53391,x53392)+~E(f329(f329(f137(x53393),x53394),x53391),f329(f329(f137(x53393),x53394),x53392)) % 166.52/166.34 [5340]E(x53401,x53402)+~E(f329(f329(f137(x53403),x53401),x53404),f329(f329(f137(x53403),x53402),x53404)) % 166.52/166.34 [5492]P1(f329(x54923,x54922))+E(f173(x54921,x54922,f329(f139(x54921,x54923),x54924)),f329(f139(x54921,x54923),x54924)) % 166.52/166.34 [5494]~P1(f329(x54942,x54943))+P39(x54941,x54942,f329(f329(f154(x54941),x54943),x54944)) % 166.52/166.34 [5503]E(x55031,x55032)+~E(f142(a910,f329(f304(a910,x55031),x55033)),f329(f329(f154(a910),x55032),x55034)) % 166.52/166.34 [5549]~P32(x55492,x55493)+P32(x55491,f329(f329(f75(x55492,x55491),x55493),x55494)) % 166.52/166.34 [5550]~P43(x55502,x55503)+P43(x55501,f329(f329(f290(x55502,x55501),x55503),x55504)) % 166.52/166.34 [5551]~P44(x55512,x55513)+P44(x55511,f329(f329(f290(x55512,x55511),x55513),x55514)) % 166.52/166.34 [5552]~P59(x55522,x55523)+P59(x55521,f329(f329(f290(x55522,x55521),x55523),x55524)) % 166.52/166.34 [5680]~P39(x56801,x56802,x56804)+P39(x56801,x56802,f329(f329(f154(x56801),x56803),x56804)) % 166.52/166.34 [5681]~P39(x56811,x56812,x56814)+P39(x56811,x56812,f329(f329(f137(x56811),x56813),x56814)) % 166.52/166.34 [5682]~P39(x56821,x56822,x56823)+P39(x56821,x56822,f329(f329(f137(x56821),x56823),x56824)) % 166.52/166.34 [5770]~E(x57701,f118(x57702))+~E(f329(f329(f137(x57702),x57703),f329(f329(f154(x57702),x57704),f118(x57702))),x57701) % 166.52/166.34 [5795]~P37(x57953,x57951,f329(f329(f154(x57953),x57952),x57954))+P1(f329(x57951,x57952)) % 166.52/166.34 [5805]E(f119(x58051,x58052),x58053)+~E(f329(f329(f137(x58051),x58053),f329(f329(f154(x58051),x58054),f118(x58051))),x58052) % 166.52/166.34 [5806]E(f147(x58061,x58062),x58063)+~E(f329(f329(f137(x58061),x58064),f329(f329(f154(x58061),x58063),f118(x58061))),x58062) % 166.52/166.34 [5914]~E(f142(a910,f329(f304(a910,x59141),x59142)),f329(f329(f154(a910),x59143),x59144))+P1(f329(f329(f240(a910),x59141),x59142)) % 166.52/166.34 [5923]P37(x59231,x59232,x59233)+~P37(x59231,x59232,f329(f329(f154(x59231),x59234),x59233)) % 166.52/166.34 [5924]P37(x59241,x59242,x59243)+~P37(x59241,x59242,f329(f329(f137(x59241),x59244),x59243)) % 166.52/166.34 [5925]P37(x59251,x59252,x59253)+~P37(x59251,x59252,f329(f329(f137(x59251),x59253),x59254)) % 166.52/166.34 [6123]E(x61231,f329(f329(f137(x61232),f329(f171(x61232),x61233)),f329(f329(f154(x61232),x61234),f118(x61232))))+~E(f329(f171(x61232),x61231),f329(f329(f154(x61232),x61234),x61233)) % 166.52/166.34 [6298]~P114(x62981)+E(f329(f329(f106(f918(x62981,a905)),f329(f304(x62981,x62982),x62983)),f329(f304(x62981,x62983),x62984)),f191(f918(x62981,a905))) % 166.52/166.34 [6310]E(f329(f329(f167(x63101),f172(x63101,x63102,x63103)),x63104),x63103)+~P1(f329(f329(f240(a910),x63104),x63102)) % 166.52/166.34 [6337]~P5(x63371)+E(f329(f168(x63371),f329(f329(f157(a1,x63371),x63372),f181(x63373,x63374))),f329(f329(f6(a1,x63371),x63372),f329(f175(a1),f181(x63373,x63374)))) % 166.52/166.34 [6338]~P5(x63381)+E(f329(f329(f6(a1,x63381),x63382),f329(f175(a1),f181(x63383,x63384))),f329(f168(x63381),f329(f329(f157(a1,x63381),x63382),f181(x63383,x63384)))) % 166.52/166.34 [6479]~E(x64792,f329(f329(f137(x64791),f329(f171(x64791),x64794)),f329(f329(f154(x64791),x64793),f118(x64791))))+E(f329(f171(x64791),x64792),f329(f329(f154(x64791),x64793),x64794)) % 166.52/166.34 [6497]~P24(x64972,x64973,x64974,x64971)+E(f329(x64971,f191(f918(x64972,a905))),f33(x64973)) % 166.52/166.34 [6524]~P114(x65241)+E(f329(f329(f106(f918(x65241,a905)),f308(x65241,x65242,x65243)),f329(f304(x65241,x65243),x65244)),f191(f918(x65241,a905))) % 166.52/166.34 [6606]~P48(x66061,x66062,x66064,x66063)+P1(f329(f329(f197(x66061),x66062),x66063)) % 166.52/166.34 [6735]E(x67351,f191(f918(x67352,a905)))+~E(f315(x67353,x67352,x67354,x67351),f191(f918(f916(x67353,x67352),a905))) % 166.52/166.34 [6736]E(x67361,f191(f918(x67362,a905)))+~E(f315(x67362,x67363,x67361,x67364),f191(f918(f916(x67362,x67363),a905))) % 166.52/166.34 [6806]~P112(x68062)+E(f329(f192(f911(x68061)),f153(x68061,x68062,x68063,x68064)),f329(f192(f911(x68061)),x68064)) % 166.52/166.34 [6817]~P1(f329(f255(x68173,x68174,x68171),x68172))+P1(f329(f329(x68171,f551(x68172,x68171)),x68172)) % 166.52/166.34 [6856]~P1(f329(f62(x68562),x68564))+P1(f329(f62(x68561),f329(f312(x68562,x68561,x68563),x68564))) % 166.52/166.34 [7085]~P30(x70852,x70851,x70853,x70854)+E(f329(f36(x70851),f329(f312(x70852,x70851,x70853),x70854)),f329(f36(x70852),x70854)) % 166.52/166.34 [7103]E(f329(f312(x71031,x71032,x71033),f329(f313(x71031,x71032,x71033),x71034)),x71034)+~E(f329(f312(x71031,x71032,x71033),f247(f918(x71031,a905))),f247(f918(x71032,a905))) % 166.52/166.34 [7521]~P30(x75211,x75212,x75213,f247(f918(x75211,a905)))+E(f329(f313(x75211,x75212,x75213),f329(f312(x75211,x75212,x75213),x75214)),x75214) % 166.52/166.34 [7807]E(x78071,x78072)+~P1(f329(f329(f331(x78073),x78071),f329(f175(x78073),f172(x78073,x78074,x78072)))) % 166.52/166.34 [7816]~E(x78161,f2(a910))+~P1(f329(f329(f331(x78162),x78163),f329(f175(x78162),f172(x78162,x78161,x78164)))) % 166.52/166.34 [7850]P1(f329(x78501,x78502))+~P1(f329(f329(f331(x78503),x78502),f329(f175(x78503),f180(x78503,x78501,x78504)))) % 166.52/166.34 [7965]~P1(f329(f329(f331(f911(x79651)),f329(f329(f154(x79651),x79652),x79654)),f164(x79651,x79653)))+P1(f329(f329(f331(x79651),x79652),x79653)) % 166.52/166.34 [8096]~P1(f329(f329(f331(x80961),x80962),f329(f175(x80961),f179(x80961,x80963,x80964))))+P1(f329(f329(f331(x80961),x80962),f329(f175(x80961),x80963))) % 166.52/166.34 [8097]~P1(f329(f329(f331(x80971),x80972),f329(f175(x80971),f173(x80971,x80974,x80973))))+P1(f329(f329(f331(x80971),x80972),f329(f175(x80971),x80973))) % 166.52/166.34 [8098]~P1(f329(f329(f331(x80981),x80982),f329(f175(x80981),f180(x80981,x80984,x80983))))+P1(f329(f329(f331(x80981),x80982),f329(f175(x80981),x80983))) % 166.52/166.34 [8108]E(f329(f192(f911(x81081)),x81082),x81083)+~P1(f329(f329(f331(f911(x81081)),x81082),f329(f175(f911(x81081)),f56(x81081,x81083,x81084)))) % 166.52/166.34 [8212]P1(f329(x82123,x82122))+E(f329(f139(x82121,f329(f329(f8(a905,a905,x82121),a324),f329(a326,x82122))),f329(f139(x82121,x82123),x82124)),f329(f139(x82121,x82123),x82124)) % 166.52/166.34 [8321]E(f329(f329(f167(x83211),f180(x83211,x83212,x83213)),x83214),f329(f329(f167(x83211),x83213),x83214))+~P1(f329(f329(f240(a910),x83214),f329(f192(f911(x83211)),f180(x83211,x83212,x83213)))) % 166.52/166.34 [8408]~P5(x84081)+E(f329(f329(f6(a910,x84081),f329(f329(f8(a910,x84081,a910),x84082),a117)),f329(f304(a910,x84083),x84084)),f329(f329(f6(a910,x84081),x84082),f329(f304(a910,f329(a117,x84083)),f329(a117,x84084)))) % 166.52/166.34 [8418]~P5(x84181)+E(f329(f329(f6(a910,x84181),f329(f329(f8(a910,x84181,a910),x84182),a117)),f305(a910,x84183,x84184)),f329(f329(f6(a910,x84181),x84182),f305(a910,f329(a117,x84183),f329(a117,x84184)))) % 166.52/166.34 [8548]~P30(x85481,x85483,x85484,f247(f918(x85481,a905)))+P30(x85481,f918(x85482,x85483),f329(f329(f8(x85483,f918(x85482,x85483),x85481),f16(x85483,x85482)),x85484),f247(f918(x85481,a905))) % 166.52/166.34 [8646]~P30(x86462,x86461,x86464,x86463)+E(f329(f312(x86461,x86462,f79(x86462,x86461,x86463,x86464)),f329(f312(x86462,x86461,x86464),x86463)),x86463) % 166.52/166.34 [8705]~P1(f329(f329(f331(f917(x87051,x87051)),f329(f329(f257(x87051,x87051),x87052),x87054)),f268(x87051,x87053)))+P1(f329(f329(f331(x87051),x87052),x87053)) % 166.52/166.34 [8818]~P30(x88182,x88181,x88183,f247(f918(x88182,a905)))+E(f329(f312(x88181,x88182,f94(x88182,x88181,f247(f918(x88182,a905)),x88183)),f329(f312(x88182,x88181,x88183),x88184)),x88184) % 166.52/166.34 [8920]~E(f329(f329(f6(x89201,a910),x89204),x89203),f329(a117,x89202))+P1(f329(f329(f331(x89201),f430(x89202,x89203,x89204,x89201)),x89203)) % 166.52/166.34 [8939]~E(f329(f329(f6(x89394,a910),x89391),x89393),f329(a117,x89392))+P1(f329(f329(f240(a910),f2(a910)),f329(x89391,f430(x89392,x89393,x89391,x89394)))) % 166.52/166.34 [8950]~P1(f329(f62(x89502),x89504))+P1(f329(f329(f239(a910),f329(f36(x89501),f329(f312(x89502,x89501,x89503),x89504))),f329(f36(x89502),x89504))) % 166.52/166.34 [8951]E(f329(f329(f257(x89511,x89512),f669(x89513,x89514,x89512,x89511)),f664(x89513,x89514,x89512,x89511)),x89514)+~P1(f329(f329(f331(f917(x89511,x89512)),x89514),f329(f289(x89512,x89511),x89513))) % 166.52/166.34 [8959]P30(x89591,x89592,x89593,x89594)+P1(f329(f329(f331(x89591),f656(x89594,x89593,x89592,x89591)),x89594)) % 166.52/166.34 [8960]P30(x89601,x89602,x89603,x89604)+P1(f329(f329(f331(x89601),f663(x89604,x89603,x89602,x89601)),x89604)) % 166.52/166.34 [9028]P16(x90281,x90282,x90283,x90284)+P1(f329(f329(f331(f917(x90281,x90281)),f522(x90284,x90283,x90282,x90281)),x90283)) % 166.52/166.34 [9086]P1(f329(x90861,x90862))+~P1(f329(x90861,f329(f329(f257(x90863,x90864),f507(x90864,x90863,x90861)),f508(x90864,x90863,x90861)))) % 166.52/166.34 [9102]E(f329(f192(f911(x91021)),x91022),f329(f192(f911(x91021)),x91023))+~P1(f329(f329(f331(f917(f911(x91021),f911(x91021))),f329(f329(f257(f911(x91021),f911(x91021)),x91022),x91023)),f148(x91021,x91024))) % 166.52/166.34 [9103]E(f329(f192(f911(x91031)),x91032),f329(f192(f911(x91031)),x91033))+~P1(f329(f329(f331(f917(f911(x91031),f911(x91031))),f329(f329(f257(f911(x91031),f911(x91031)),x91032),x91033)),f160(x91031,x91034))) % 166.52/166.34 [9106]E(f329(f192(f911(x91061)),x91062),f329(f192(f911(x91061)),x91063))+~P1(f329(f329(f331(f917(f911(x91061),f911(x91061))),f329(f329(f257(f911(x91061),f911(x91061)),x91062),x91063)),f161(x91061,x91064))) % 166.52/166.34 [9179]P1(f329(f329(f239(a910),f158(x91791,x91792,x91793)),f158(x91791,x91794,x91793)))+P1(f329(f329(f331(x91791),f691(x91794,x91792,x91793,x91791)),f329(f175(x91791),x91793))) % 166.52/166.34 [9182]E(f329(f192(f911(x91821)),x91822),f329(f192(f911(x91821)),x91823))+~P1(f329(f329(f331(f917(f911(x91821),f911(x91821))),f329(f329(f257(f911(x91821),f911(x91821)),x91822),x91823)),f309(f911(x91821),f160(x91821,x91824)))) % 166.52/166.34 [9424]~P30(x94241,x94242,x94243,x94244)+~P1(f329(f329(f240(a910),f329(f36(x94242),f329(f312(x94241,x94242,x94243),x94244))),f329(f36(x94241),x94244))) % 166.52/166.34 [9471]~P1(f329(f329(f331(f917(f911(x94711),f911(x94711))),f329(f329(f257(f911(x94711),f911(x94711)),x94712),x94713)),f160(x94711,x94714)))+P1(f329(f329(f331(f917(f911(x94711),f911(x94711))),f329(f329(f257(f911(x94711),f911(x94711)),x94712),x94713)),f161(x94711,f309(x94711,x94714)))) % 166.52/166.34 [9475]~P1(f329(f329(f331(f917(f911(x94751),f911(x94751))),f329(f329(f257(f911(x94751),f911(x94751)),x94752),x94753)),f161(x94751,x94754)))+P1(f329(f329(f331(f917(f911(x94751),f911(x94751))),f329(f329(f257(f911(x94751),f911(x94751)),x94752),x94753)),f309(f911(x94751),f160(x94751,x94754)))) % 166.52/166.34 [9491]P1(f329(f329(f331(f917(x94911,x94911)),f329(f329(f257(x94911,x94911),x94912),x94913)),f309(x94911,x94914)))+~P1(f329(f329(f331(f917(x94911,x94911)),f329(f329(f257(x94911,x94911),x94912),x94913)),f329(f329(f291(x94911,x94911,x94911),x94914),f309(x94911,x94914)))) % 166.52/166.34 [9677]E(f329(f329(f137(x96771),f706(x96772,x96773,x96774,x96771)),f329(f329(f154(x96771),f707(x96772,x96773,x96774,x96771)),f709(x96772,x96773,x96774,x96771))),x96774)+~P1(f329(f329(f331(f917(f911(x96771),f911(x96771))),f329(f329(f257(f911(x96771),f911(x96771)),x96774),x96773)),f160(x96771,x96772))) % 166.52/166.34 [9678]E(f329(f329(f137(x96781),f706(x96782,x96783,x96784,x96781)),f329(f329(f154(x96781),f708(x96782,x96783,x96784,x96781)),f709(x96782,x96783,x96784,x96781))),x96783)+~P1(f329(f329(f331(f917(f911(x96781),f911(x96781))),f329(f329(f257(f911(x96781),f911(x96781)),x96784),x96783)),f160(x96781,x96782))) % 166.52/166.34 [9758]P1(f329(f329(f331(f917(x97581,x97581)),f329(f329(f257(x97581,x97581),x97582),f619(x97583,x97584,x97582,x97581))),f309(x97581,x97583)))+~P1(f329(f329(f331(f917(x97581,x97581)),f329(f329(f257(x97581,x97581),x97582),x97584)),f329(f329(f291(x97581,x97581,x97581),x97583),f309(x97581,x97583)))) % 166.52/166.34 [9826]P1(f329(f329(f239(a910),f158(x98261,x98262,x98263)),f158(x98261,x98264,x98263)))+~P1(f329(f329(f240(a910),f329(x98262,f691(x98264,x98262,x98263,x98261))),f329(x98264,f691(x98264,x98262,x98263,x98261)))) % 166.52/166.34 [9897]P1(f329(f329(f331(f917(x98971,x98971)),f329(f329(f257(x98971,x98971),f618(x98972,x98973,x98974,x98971)),x98973)),f309(x98971,x98972)))+~P1(f329(f329(f331(f917(x98971,x98971)),f329(f329(f257(x98971,x98971),x98974),x98973)),f329(f329(f291(x98971,x98971,x98971),x98972),f309(x98971,x98972)))) % 166.52/166.34 [5321]~E(x53212,x53213)+E(f173(x53211,x53212,f329(f329(f154(x53211),x53213),x53214)),x53214) % 166.52/166.34 [5449]P1(f329(x54492,x54493))+E(f180(x54491,x54492,f329(f329(f154(x54491),x54493),x54494)),f118(x54491)) % 166.52/166.34 [5515]~P92(x55152)+E(f329(f329(f81(f918(x55151,x55152)),x55153),x55154),f329(f81(x55152),f329(x55153,x55154))) % 166.52/166.34 [5526]~E(x55262,f2(a910))+E(f329(f329(f141(x55261),x55262),f329(f329(f154(x55261),x55263),x55264)),f329(f329(f154(x55261),x55263),x55264)) % 166.52/166.34 [5527]P1(f329(x55272,x55273))+E(f329(f139(x55271,x55272),f329(f329(f154(x55271),x55273),x55274)),f329(f139(x55271,x55272),x55274)) % 166.52/166.34 [5663]~E(x56632,x56634)+P1(f329(f329(f329(f311(x56631),x56632),x56633),x56634)) % 166.52/166.34 [5671]E(x56711,f118(x56712))+E(f147(x56713,f329(f329(f157(x56712,x56713),x56714),x56711)),f329(x56714,f147(x56712,x56711))) % 166.52/166.34 [5685]~E(x56851,f64(x56852,x56854))+E(f329(x56851,f329(f329(f311(x56852),x56853),f191(f918(x56852,a905)))),x56853) % 166.52/166.34 [5721]E(x57211,f118(x57212))+E(f329(f144(x57213),f329(f329(f157(x57212,x57213),x57214),x57211)),f329(x57214,f329(f144(x57212),x57211))) % 166.52/166.34 [5825]~P1(f329(x58253,x58254))+P1(f329(f329(f329(f311(x58251),x58252),x58253),x58254)) % 166.52/166.34 [5944]~P23(x59442,x59444,x59441)+E(f329(x59441,f329(f329(f311(x59442),x59443),f191(f918(x59442,a905)))),x59443) % 166.52/166.34 [5971]~E(x59712,x59713)+P1(f329(f329(f331(x59711),x59712),f329(f329(f311(x59711),x59713),x59714))) % 166.52/166.34 [5975]~P2(x59751)+E(f329(f329(f115(x59751),x59752),f329(f329(f115(x59751),x59753),x59754)),f329(f329(f115(x59751),x59753),f329(f329(f115(x59751),x59752),x59754))) % 166.52/166.34 [5977]~P103(x59771)+E(f329(f329(f115(x59771),x59772),f329(f329(f115(x59771),x59773),x59774)),f329(f329(f115(x59771),x59773),f329(f329(f115(x59771),x59772),x59774))) % 166.52/166.34 [5978]~P116(x59781)+E(f329(f329(f82(x59781),x59782),f329(f329(f82(x59781),x59783),x59784)),f329(f329(f82(x59781),x59783),f329(f329(f82(x59781),x59782),x59784))) % 166.52/166.34 [5979]~P2(x59791)+E(f329(f329(f106(x59791),x59792),f329(f329(f106(x59791),x59793),x59794)),f329(f329(f106(x59791),x59793),f329(f329(f106(x59791),x59792),x59794))) % 166.52/166.34 [5981]~P104(x59811)+E(f329(f329(f106(x59811),x59812),f329(f329(f106(x59811),x59813),x59814)),f329(f329(f106(x59811),x59813),f329(f329(f106(x59811),x59812),x59814))) % 166.52/166.34 [5982]~P116(x59821)+E(f329(f329(f83(x59821),x59822),f329(f329(f83(x59821),x59823),x59824)),f329(f329(f83(x59821),x59823),f329(f329(f83(x59821),x59822),x59824))) % 166.52/166.34 [5984]~P112(x59841)+E(f329(f329(f237(x59841),x59842),f329(f329(f237(x59841),x59843),x59844)),f329(f329(f237(x59841),x59843),f329(f329(f237(x59841),x59842),x59844))) % 166.52/166.34 [5986]~P112(x59861)+E(f329(f329(f238(x59861),x59862),f329(f329(f238(x59861),x59863),x59864)),f329(f329(f238(x59861),x59863),f329(f329(f238(x59861),x59862),x59864))) % 166.52/166.34 [5991]E(x59911,x59912)+E(f173(x59913,x59911,f329(f329(f154(x59913),x59912),x59914)),f329(f329(f154(x59913),x59912),f173(x59913,x59911,x59914))) % 166.52/166.34 [6004]~P1(f329(x60042,x60043))+E(f329(f139(x60041,x60042),f329(f329(f154(x60041),x60043),x60044)),f329(f329(f154(x60041),x60043),f329(f139(x60041,x60042),x60044))) % 166.52/166.34 [6143]~P1(f329(x61432,x61433))+E(f180(x61431,x61432,f329(f329(f154(x61431),x61433),x61434)),f329(f329(f154(x61431),x61433),f180(x61431,x61432,x61434))) % 166.52/166.34 [6193]P29(x61931,x61932,x61933)+~P29(x61931,x61932,f329(f329(f311(f909(x61931)),x61934),x61933)) % 166.52/166.34 [6209]E(x62091,f191(f918(x62092,a905)))+E(f329(f329(f40(x62092,f918(x62093,a905)),x62091),f329(f16(f918(x62093,a905),x62092),x62094)),x62094) % 166.52/166.34 [6210]E(x62101,f191(f918(x62102,a905)))+E(f329(f329(f41(x62102,f918(x62103,a905)),x62101),f329(f16(f918(x62103,a905),x62102),x62104)),x62104) % 166.52/166.34 [6219]~E(x62194,f191(f918(x62192,a905)))+E(f329(f329(f259(x62191,x62192),x62193),f329(f16(f918(x62192,a905),x62191),x62194)),f191(f918(f917(x62191,x62192),a905))) % 166.52/166.34 [6220]~E(x62203,f191(f918(x62201,a905)))+E(f329(f329(f259(x62201,x62202),x62203),f329(f16(f918(x62202,a905),x62201),x62204)),f191(f918(f917(x62201,x62202),a905))) % 166.52/166.34 [6271]E(x62711,f2(a910))+E(f329(f329(f141(x62712),x62711),f329(f329(f154(x62712),x62713),x62714)),f329(f329(f141(x62712),f329(f329(f23(a910),x62711),f80(a910))),x62714)) % 166.52/166.34 [6292]E(x62921,f191(f918(x62922,a905)))+E(f329(f312(x62922,x62923,f329(f16(x62923,x62922),x62924)),x62921),f329(f329(f311(x62923),x62924),f191(f918(x62923,a905)))) % 166.52/166.34 [6295]E(f329(f313(x62951,x62952,f329(f16(x62952,x62951),x62953)),x62954),f191(f918(x62951,a905)))+P1(f329(f329(f331(x62952),x62953),x62954)) % 166.52/166.34 [6361]~E(x63613,f191(f918(x63611,a905)))+E(f329(f329(f40(x63611,f918(x63612,a905)),x63613),f329(f16(f918(x63612,a905),x63611),x63614)),f191(f918(x63612,a905))) % 166.52/166.34 [6362]~E(x63623,f191(f918(x63621,a905)))+E(f329(f329(f41(x63621,f918(x63622,a905)),x63623),f329(f16(f918(x63622,a905),x63621),x63624)),f247(f918(x63622,a905))) % 166.52/166.34 [6364]~P68(x63641)+E(f46(x63641,f329(f329(f83(x63641),x63642),x63643),f329(f329(f83(x63641),x63642),x63644)),f329(f329(f83(x63641),x63642),f46(x63641,x63643,x63644))) % 166.52/166.34 [6534]E(f329(f313(x65341,x65342,f329(f16(x65342,x65341),x65343)),x65344),f247(f918(x65341,a905)))+~P1(f329(f329(f331(x65342),x65343),x65344)) % 166.52/166.34 [6558]~P1(f329(f329(f331(x65581),x65582),x65584))+P1(f329(f329(f331(x65581),x65582),f329(f329(f311(x65581),x65583),x65584))) % 166.52/166.34 [6563]P1(f329(x65631,x65632))+~P1(f329(f163(x65633,x65631),f329(f329(f154(x65633),x65632),x65634))) % 166.52/166.34 [6572]~E(x65723,f329(f329(f23(a910),f329(f192(f911(x65721)),x65722)),f80(a910)))+E(f119(x65721,f329(f329(f162(x65721,x65722),x65723),x65724)),f119(x65721,x65722)) % 166.52/166.34 [6590]~P112(x65901)+E(f329(f329(f106(f918(x65901,a905)),f329(f303(x65901),x65902)),f305(x65901,x65903,x65904)),f305(x65901,x65903,f329(f329(f237(x65901),x65902),x65904))) % 166.52/166.34 [6591]~P112(x65911)+E(f329(f329(f106(f918(x65911,a905)),f329(f286(x65911),x65912)),f305(x65911,x65913,x65914)),f305(x65911,f329(f329(f238(x65911),x65912),x65913),x65914)) % 166.52/166.34 [6608]E(f329(f329(f106(f918(x66081,a905)),x66082),f329(f329(f311(x66081),x66083),x66084)),f329(f329(f106(f918(x66081,a905)),x66082),x66084))+P1(f329(f329(f331(x66081),x66083),x66082)) % 166.52/166.34 [6620]E(f173(x66201,x66202,f329(f329(f137(x66201),x66203),x66204)),f329(f329(f137(x66201),x66203),f173(x66201,x66202,x66204)))+P1(f329(f329(f331(x66201),x66202),f329(f175(x66201),x66203))) % 166.52/166.34 [6625]~P88(x66251)+E(f329(f329(f83(x66251),f329(f329(f249(x66251),x66252),x66253)),f329(f329(f249(x66251),x66252),x66254)),f329(f329(f249(x66251),x66252),f329(f329(f82(a910),x66253),x66254))) % 166.52/166.34 [6626]~P116(x66261)+E(f329(f329(f83(x66261),f329(f329(f249(x66261),x66262),x66263)),f329(f329(f249(x66261),x66262),x66264)),f329(f329(f249(x66261),x66262),f329(f329(f82(a910),x66263),x66264))) % 166.52/166.34 [6662]~P101(x66621)+E(f329(f329(f106(x66621),f329(f329(f115(x66621),x66622),x66623)),f329(f329(f115(x66621),x66622),x66624)),f329(f329(f115(x66621),x66622),f329(f329(f106(x66621),x66623),x66624))) % 166.52/166.34 [6663]~P101(x66631)+E(f329(f329(f115(x66631),f329(f329(f106(x66631),x66632),x66633)),f329(f329(f106(x66631),x66632),x66634)),f329(f329(f106(x66631),x66632),f329(f329(f115(x66631),x66633),x66634))) % 166.52/166.34 [6664]~P116(x66641)+E(f329(f329(f82(x66641),f329(f329(f83(x66641),x66642),x66643)),f329(f329(f83(x66641),x66642),x66644)),f329(f329(f83(x66641),x66642),f329(f329(f82(x66641),x66643),x66644))) % 166.52/166.34 [6665]~P112(x66651)+E(f329(f329(f238(x66651),f329(f329(f237(x66651),x66652),x66653)),f329(f329(f237(x66651),x66652),x66654)),f329(f329(f237(x66651),x66652),f329(f329(f238(x66651),x66653),x66654))) % 166.52/166.35 [6666]~P112(x66661)+E(f329(f329(f237(x66661),f329(f329(f238(x66661),x66662),x66663)),f329(f329(f238(x66661),x66662),x66664)),f329(f329(f238(x66661),x66662),f329(f329(f237(x66661),x66663),x66664))) % 166.52/166.35 [6700]~P68(x67001)+E(f46(x67001,f329(f329(f83(x67001),x67002),x67003),f329(f329(f83(x67001),x67004),x67003)),f329(f329(f83(x67001),f46(x67001,x67002,x67004)),x67003)) % 166.52/166.35 [6703]~E(f329(f192(f911(x67031)),x67033),f329(f192(f911(x67032)),x67034))+E(f329(f329(f157(f917(x67031,x67032),x67032),f261(x67031,x67032)),f329(f329(f184(x67031,x67032),x67033),x67034)),x67034) % 166.52/166.35 [6704]~E(f329(f192(f911(x67041)),x67043),f329(f192(f911(x67042)),x67044))+E(f329(f329(f157(f917(x67041,x67042),x67041),f256(x67041,x67042)),f329(f329(f184(x67041,x67042),x67043),x67044)),x67043) % 166.52/166.35 [6709]P1(f329(f163(x67091,x67092),x67093))+~P1(f329(f163(x67091,x67092),f329(f329(f154(x67091),x67094),x67093))) % 166.52/166.35 [6710]P1(f329(f163(x67101,x67102),x67103))+~P1(f329(f163(x67101,x67102),f329(f329(f137(x67101),x67104),x67103))) % 166.52/166.35 [6711]P1(f329(f163(x67111,x67112),x67113))+~P1(f329(f163(x67111,x67112),f329(f329(f137(x67111),x67113),x67114))) % 166.52/166.35 [6717]~P69(x67171)+E(f46(x67171,f329(f329(f23(x67171),x67172),f46(x67171,x67173,x67174)),x67174),f46(x67171,f329(f329(f23(x67171),x67172),x67173),x67174)) % 166.52/166.35 [6718]~P68(x67181)+E(f46(x67181,f329(f329(f83(x67181),x67182),f46(x67181,x67183,x67184)),x67184),f46(x67181,f329(f329(f83(x67181),x67182),x67183),x67184)) % 166.52/166.35 [6719]~P68(x67191)+E(f46(x67191,f329(f329(f82(x67191),x67192),f46(x67191,x67193,x67194)),x67194),f46(x67191,f329(f329(f82(x67191),x67192),x67193),x67194)) % 166.52/166.35 [6798]~P112(x67981)+E(f329(f329(f106(f918(x67981,a905)),f305(x67981,x67982,x67983)),f329(f303(x67981),x67984)),f305(x67981,x67982,f329(f329(f237(x67981),x67983),x67984))) % 166.52/166.35 [6799]~P112(x67991)+E(f329(f329(f106(f918(x67991,a905)),f305(x67991,x67992,x67993)),f329(f286(x67991),x67994)),f305(x67991,f329(f329(f238(x67991),x67992),x67994),x67993)) % 166.52/166.35 [6802]~E(f329(f192(f911(x68021)),x68023),f329(f192(f911(x68022)),x68024))+E(f329(f329(f184(x68021,x68022),f329(f171(x68021),x68023)),f329(f171(x68022),x68024)),f329(f171(f917(x68021,x68022)),f329(f329(f184(x68021,x68022),x68023),x68024))) % 166.52/166.35 [6814]E(x68141,f329(f329(f23(a910),f329(f192(f911(x68142)),x68143)),f80(a910)))+E(f119(x68142,f329(f329(f162(x68142,x68143),x68141),x68144)),f329(f329(f162(x68142,f119(x68142,x68143)),x68141),x68144)) % 166.52/166.35 [6828]~P1(f329(f140(x68282),x68284))+P1(f329(f140(f917(x68281,x68282)),f329(f329(f184(x68281,x68282),x68283),x68284))) % 166.52/166.35 [6829]~P1(f329(f140(x68291),x68293))+P1(f329(f140(f917(x68291,x68292)),f329(f329(f184(x68291,x68292),x68293),x68294))) % 166.52/166.35 [7088]E(f329(f329(f37(a910),x70881),x70882),x70883)+~P1(f329(f49(x70881,x70882),f329(f329(f257(a910,a910),x70883),x70884))) % 166.52/166.35 [7111]E(f46(a910,x71111,x71112),x71113)+~P1(f329(f49(x71111,x71112),f329(f329(f257(a910,a910),x71114),x71113))) % 166.52/166.35 [7114]P1(f329(f140(x71141),x71142))+~P1(f329(f140(x71143),f329(f329(f157(x71141,x71143),x71144),x71142))) % 166.52/166.35 [7122]~P29(x71221,x71222,f329(f329(f311(f909(x71221)),x71223),x71224))+P29(x71221,x71222,f329(f329(f311(f909(x71221)),x71223),f191(f918(f909(x71221),a905)))) % 166.52/166.35 [7197]E(f173(x71971,x71972,f329(f329(f137(x71971),x71973),x71974)),f329(f329(f137(x71971),f173(x71971,x71972,x71973)),x71974))+~P1(f329(f329(f331(x71971),x71972),f329(f175(x71971),x71973))) % 166.52/166.35 [7288]~P69(x72881)+E(f46(x72881,f329(f329(f23(x72881),f46(x72881,x72882,x72883)),x72884),x72883),f46(x72881,f329(f329(f23(x72881),x72882),x72884),x72883)) % 166.52/166.35 [7290]~P68(x72901)+E(f46(x72901,f329(f329(f82(x72901),f46(x72901,x72902,x72903)),x72904),x72903),f46(x72901,f329(f329(f82(x72901),x72902),x72904),x72903)) % 166.52/166.35 [7291]~P68(x72911)+E(f46(x72911,f329(f329(f83(x72911),f46(x72911,x72912,x72913)),x72914),x72913),f46(x72911,f329(f329(f83(x72911),x72912),x72914),x72913)) % 166.52/166.35 [7492]~E(x74921,f329(f329(f154(x74922),x74923),x74924))+~P1(f329(f329(f239(a910),f329(f192(f911(x74922)),x74921)),f329(f192(f911(x74922)),x74924))) % 166.52/166.35 [7699]P30(x76991,x76992,x76993,f329(f175(x76991),x76994))+~P1(f329(f140(x76992),f329(f329(f157(x76991,x76992),x76993),x76994))) % 166.52/166.35 [7773]~P1(f329(f329(f239(f918(x77731,a905)),x77732),x77734))+P1(f329(f329(f239(f918(x77731,a905)),x77732),f329(f329(f311(x77731),x77733),x77734))) % 166.52/166.35 [7808]~P68(x78081)+E(f46(x78081,f329(f329(f82(x78081),f46(x78081,x78082,x78083)),f46(x78081,x78084,x78083)),x78083),f46(x78081,f329(f329(f82(x78081),x78082),x78084),x78083)) % 166.52/166.35 [7809]~P69(x78091)+E(f46(x78091,f329(f329(f23(x78091),f46(x78091,x78092,x78093)),f46(x78091,x78094,x78093)),x78093),f46(x78091,f329(f329(f23(x78091),x78092),x78094),x78093)) % 166.52/166.35 [7810]~P68(x78101)+E(f46(x78101,f329(f329(f83(x78101),f46(x78101,x78102,x78103)),f46(x78101,x78104,x78103)),x78103),f46(x78101,f329(f329(f83(x78101),x78102),x78104),x78103)) % 166.52/166.35 [7915]~E(f329(x79154,f407(x79154,x79153,x79151,x79152)),f191(f918(x79152,a905)))+E(f329(f329(f40(x79151,f918(x79152,a905)),x79153),x79154),f191(f918(x79152,a905))) % 166.52/166.35 [7916]~E(f329(x79164,f614(x79164,x79163,x79161,x79162)),f247(f918(x79162,a905)))+E(f329(f329(f41(x79161,f918(x79162,a905)),x79163),x79164),f247(f918(x79162,a905))) % 166.52/166.35 [7917]~E(f329(x79174,f428(x79174,x79173,x79172,x79171)),f191(f918(x79172,a905)))+E(f329(f329(f40(x79171,f918(x79172,a905)),x79173),x79174),f191(f918(x79172,a905))) % 166.52/166.35 [7918]~E(f329(x79184,f628(x79184,x79183,x79182,x79181)),f247(f918(x79182,a905)))+E(f329(f329(f41(x79181,f918(x79182,a905)),x79183),x79184),f247(f918(x79182,a905))) % 166.52/166.35 [8322]P1(f329(x83221,x83222))+~P1(f329(f329(f331(x83223),x83222),f329(f329(f106(f918(x83223,a905)),x83224),f329(f267(x83223),x83221)))) % 166.52/166.35 [8360]~P1(f329(f329(f239(f918(x83601,a905)),x83603),x83604))+P1(f329(f329(f239(f918(x83601,a905)),f329(f329(f311(x83601),x83602),x83603)),f329(f329(f311(x83601),x83602),x83604))) % 166.52/166.35 [8531]P1(f329(f329(f197(x85311),x85312),f588(x85313,x85312,x85314,x85311)))+~P1(f329(f329(f197(f32(x85311,x85314)),x85312),x85313)) % 166.52/166.35 [8532]P1(f329(f329(f197(x85321),x85322),f637(x85323,x85322,x85324,x85321)))+~P1(f329(f329(f197(f32(x85321,x85324)),x85322),x85323)) % 166.52/166.35 [8541]P1(f329(x85412,x85413))+E(f329(f329(f141(x85411),f329(f192(f911(x85411)),f180(x85411,x85412,f329(f329(f154(x85411),x85413),x85414)))),f329(f329(f154(x85411),x85413),x85414)),f329(f329(f154(x85411),x85413),x85414)) % 166.52/166.35 [8660]~P1(f329(f329(f240(a910),f329(x86604,x86602)),f329(x86604,x86603)))+P1(f329(f329(f331(f917(x86601,x86601)),f329(f329(f257(x86601,x86601),x86602),x86603)),f329(f329(f290(a910,x86601),a245),x86604))) % 166.52/166.35 [8752]~P1(f329(x87522,f764(x87524,x87522,x87523,x87521)))+E(f180(x87521,x87522,f329(f329(f137(x87521),x87523),x87524)),f329(f329(f137(x87521),x87523),f180(x87521,x87522,x87524))) % 166.52/166.35 [8822]P30(f911(x88221),f911(x88222),f329(f157(x88221,x88222),x88223),x88224)+~P30(x88221,x88222,x88223,f38(f918(x88221,a905),f329(f312(f911(x88221),f918(x88221,a905),f175(x88221)),x88224))) % 166.52/166.35 [8890]~P1(f329(x88902,x88903))+E(f329(f329(f141(x88901),f329(f192(f911(x88901)),f180(x88901,x88902,f329(f329(f154(x88901),x88903),x88904)))),f329(f329(f154(x88901),x88903),x88904)),f329(f329(f141(x88901),f329(f192(f911(x88901)),f180(x88901,x88902,x88904))),x88904)) % 166.52/166.35 [8930]~E(x89302,x89303)+E(f329(f139(x89301,f329(f329(f8(a905,a905,x89301),a324),f329(a326,x89302))),f329(f329(f154(x89301),x89303),x89304)),f329(f139(x89301,f329(f329(f8(a905,a905,x89301),a324),f329(a326,x89302))),x89304)) % 166.52/166.35 [8940]E(f329(f329(f40(x89401,f918(x89402,a905)),x89403),x89404),f191(f918(x89402,a905)))+P1(f329(f329(f331(x89401),f407(x89404,x89403,x89401,x89402)),x89403)) % 166.52/166.35 [8941]E(f329(f329(f41(x89411,f918(x89412,a905)),x89413),x89414),f247(f918(x89412,a905)))+P1(f329(f329(f331(x89411),f614(x89414,x89413,x89411,x89412)),x89413)) % 166.52/166.35 [8942]E(f329(f329(f40(x89421,f918(x89422,a905)),x89423),x89424),f191(f918(x89422,a905)))+P1(f329(f329(f331(x89421),f428(x89424,x89423,x89422,x89421)),x89423)) % 166.52/166.35 [8943]E(f329(f329(f41(x89431,f918(x89432,a905)),x89433),x89434),f247(f918(x89432,a905)))+P1(f329(f329(f331(x89431),f628(x89434,x89433,x89432,x89431)),x89433)) % 166.52/166.35 [8979]P1(f329(f329(f240(a910),f329(x89791,x89792)),f329(x89791,x89793)))+~P1(f329(f329(f331(f917(x89794,x89794)),f329(f329(f257(x89794,x89794),x89792),x89793)),f329(f329(f290(a910,x89794),a245),x89791))) % 166.52/166.35 [9006]E(f180(x90061,x90062,f329(f329(f137(x90061),x90063),x90064)),f329(f329(f137(x90061),x90063),f180(x90061,x90062,x90064)))+P1(f329(f329(f331(x90061),f764(x90064,x90062,x90063,x90061)),f329(f175(x90061),x90063))) % 166.52/166.35 [9046]P1(f329(f329(f197(x90461),f588(x90462,x90463,x90461,x90464)),x90462))+~P1(f329(f329(f197(f32(x90464,x90461)),x90463),x90462)) % 166.52/166.35 [9047]P1(f329(f329(f197(x90471),f637(x90472,x90473,x90471,x90474)),x90472))+~P1(f329(f329(f197(f32(x90474,x90471)),x90473),x90472)) % 166.52/166.35 [9168]P1(f329(f329(f331(x91681),f498(x91682,x91683,x91684,x91681)),x91683))+~P1(f329(f329(f331(f918(x91681,a905)),x91684),f329(f329(f61(x91681),x91683),x91682))) % 166.52/166.35 [9171]E(x91711,x91712)+~P1(f329(f329(f331(f917(x91713,x91713)),f329(f329(f257(x91713,x91713),x91711),x91712)),f329(f329(f186(f917(x91713,x91713),a905),f2(a910)),x91714))) % 166.52/166.35 [9252]E(f329(f288(x92521,x92521,x92522),f329(f329(f311(x92521),f498(x92522,x92523,x92524,x92521)),f191(f918(x92521,a905)))),x92524)+~P1(f329(f329(f331(f918(x92521,a905)),x92524),f329(f329(f61(x92521),x92523),x92522))) % 166.52/166.35 [9263]~P1(f329(f329(f331(f917(x92631,x92631)),f329(f329(f257(x92631,x92631),x92633),x92632)),f309(x92631,x92634)))+P1(f329(f329(f331(f917(x92631,x92631)),f329(f329(f257(x92631,x92631),x92632),x92633)),f309(x92631,f329(f289(x92631,x92631),x92634)))) % 166.52/166.35 [9278]~P68(x92781)+E(f329(f329(f82(x92781),f329(f329(f82(x92781),f329(f329(f83(x92781),x92782),f329(f329(f37(x92781),x92783),x92782))),f46(x92781,x92783,x92782))),x92784),f329(f329(f82(x92781),x92783),x92784)) % 166.52/166.35 [9290]~P1(f329(f329(f331(x92901),x92903),x92904))+P1(f329(f329(f331(f918(x92901,a905)),f329(f288(x92901,x92901,x92902),f329(f329(f311(x92901),x92903),f191(f918(x92901,a905))))),f329(f329(f61(x92901),x92904),x92902))) % 166.52/166.35 [9302]P1(f329(f329(f331(f917(x93021,x93021)),f329(f329(f257(x93021,x93021),x93022),x93023)),f309(x93021,x93024)))+~P1(f329(f329(f331(f917(x93021,x93021)),f329(f329(f257(x93021,x93021),x93023),x93022)),f309(x93021,f329(f289(x93021,x93021),x93024)))) % 166.52/166.35 [9385]E(f329(f329(f162(x93851,f329(f171(x93851),x93852)),f329(f329(f23(a910),f329(f329(f23(a910),f329(f192(f911(x93851)),x93852)),x93853)),f80(a910))),x93854),f329(f171(x93851),f329(f329(f162(x93851,x93852),x93853),x93854)))+~P1(f329(f329(f240(a910),x93853),f329(f192(f911(x93851)),x93852))) % 166.52/166.35 [9389]~P1(f329(x93892,f758(x93894,x93892,x93893,x93891)))+E(f329(f329(f141(x93891),f329(f192(f911(x93891)),f180(x93891,x93892,f329(f329(f137(x93891),x93893),x93894)))),f329(f329(f137(x93891),x93893),x93894)),f329(f329(f141(x93891),f329(f192(f911(x93891)),f180(x93891,x93892,x93894))),x93894)) % 166.52/166.35 [9432]~P30(x94322,x94321,x94323,f247(f918(x94322,a905)))+P1(f329(f329(f239(f918(x94321,a905)),f329(f312(x94322,x94321,x94323),f329(f81(f918(x94322,a905)),x94324))),f329(f81(f918(x94321,a905)),f329(f312(x94322,x94321,x94323),x94324)))) % 166.52/166.35 [9444]~P10(x94441)+E(f329(f145(x94441,x94442,f329(f7(x94442,x94441,x94441),f329(f329(f8(x94441,f918(x94441,x94441),x94442),f115(x94441)),x94443)),f191(x94441)),x94444),f329(f329(f40(x94442,x94441),f329(f175(x94442),x94444)),x94443)) % 166.52/166.35 [9445]~P10(x94451)+E(f329(f145(x94451,x94452,f329(f7(x94452,x94451,x94451),f329(f329(f8(x94451,f918(x94451,x94451),x94452),f106(x94451)),x94453)),f247(x94451)),x94454),f329(f329(f41(x94452,x94451),f329(f175(x94452),x94454)),x94453)) % 166.52/166.35 [9455]E(f329(f329(f141(x94551),f329(f192(f911(x94551)),f180(x94551,x94552,f329(f329(f137(x94551),x94553),x94554)))),f329(f329(f137(x94551),x94553),x94554)),f329(f329(f141(x94551),f329(f192(f911(x94551)),f180(x94551,x94552,x94554))),x94554))+P1(f329(f329(f331(x94551),f758(x94554,x94552,x94553,x94551)),f329(f175(x94551),x94553))) % 166.52/166.35 [9523]~P1(f329(f329(f331(f917(f911(x95234),f911(x95234))),f329(f329(f257(f911(x95234),f911(x95234)),x95233),x95232)),f160(x95234,x95231)))+P1(f329(f329(f240(a910),f692(x95231,x95232,x95233,x95234)),f329(f192(f911(x95234)),x95233))) % 166.52/166.35 [9524]~P68(x95241)+E(f329(f329(f82(x95241),f329(f329(f82(x95241),f329(f329(f83(x95241),f329(f329(f37(x95241),x95242),x95243)),x95243)),f46(x95241,x95242,x95243))),x95244),f329(f329(f82(x95241),x95242),x95244)) % 166.52/166.35 [9553]~P1(f329(f329(f331(f917(f911(x95531),f911(x95531))),f329(f329(f257(f911(x95531),f911(x95531)),x95532),x95533)),f329(f289(f911(x95531),f911(x95531)),f160(x95531,x95534))))+P1(f329(f329(f331(f917(f911(x95531),f911(x95531))),f329(f329(f257(f911(x95531),f911(x95531)),x95532),x95533)),f160(x95531,f329(f289(x95531,x95531),x95534)))) % 166.52/166.35 [9554]P1(f329(f329(f331(f917(f911(x95541),f911(x95541))),f329(f329(f257(f911(x95541),f911(x95541)),x95542),x95543)),f329(f289(f911(x95541),f911(x95541)),f160(x95541,x95544))))+~P1(f329(f329(f331(f917(f911(x95541),f911(x95541))),f329(f329(f257(f911(x95541),f911(x95541)),x95542),x95543)),f160(x95541,f329(f289(x95541,x95541),x95544)))) % 166.52/166.35 [9594]~P1(f329(f329(f331(x95941),x95943),f329(f269(x95941,x95942),x95944)))+P1(f329(f329(f331(f917(x95941,x95942)),f329(f329(f257(x95941,x95942),x95943),f560(x95944,x95942,x95943,x95941))),x95944)) % 166.52/166.35 [9595]~P1(f329(f329(f331(x95951),x95953),f329(f269(x95951,x95952),x95954)))+P1(f329(f329(f331(f917(x95951,x95952)),f329(f329(f257(x95951,x95952),x95953),f564(x95954,x95952,x95953,x95951))),x95954)) % 166.52/166.35 [9753]~P1(f329(f329(f331(f917(x97531,x97531)),f329(f329(f257(x97531,x97531),x97532),x97534)),f329(f329(f291(x97531,x97531,x97531),x97533),f309(x97531,x97533))))+P1(f329(f329(f331(f917(x97531,x97531)),f329(f329(f257(x97531,x97531),x97532),f618(x97533,x97534,x97532,x97531))),x97533)) % 166.52/166.35 [9919]~P1(f329(f329(f331(f917(x99192,x99191)),x99194),f329(f289(x99191,x99192),x99193)))+P1(f329(f329(f331(f917(x99191,x99192)),f329(f329(f257(x99191,x99192),f664(x99193,x99194,x99191,x99192)),f669(x99193,x99194,x99191,x99192))),x99193)) % 166.52/166.35 [9944]~P1(f329(f329(f331(f917(f911(x99441),f911(x99441))),f329(f329(f257(f911(x99441),f911(x99441)),x99444),x99443)),f160(x99441,x99442)))+P1(f329(f329(f331(f917(x99441,x99441)),f329(f329(f257(x99441,x99441),f707(x99442,x99443,x99444,x99441)),f708(x99442,x99443,x99444,x99441))),x99442)) % 166.52/166.35 [10031]~P1(f329(f329(f331(f917(f911(x100311),f911(x100311))),f329(f329(f257(f911(x100311),f911(x100311)),x100312),x100314)),f160(x100311,x100313)))+P1(f329(f329(f331(f917(x100311,x100311)),f329(f329(f257(x100311,x100311),f329(f329(f167(x100311),x100312),f692(x100313,x100314,x100312,x100311))),f693(x100313,x100314,x100312,x100311))),x100313)) % 166.52/166.35 [10053]~P1(f329(f62(x100532),x100534))+E(f329(f329(f329(f66(f918(x100531,a905),x100532,f115(f918(x100531,a905))),f329(f329(f7(x100532,f918(x100531,a905),f918(x100531,a905)),f329(f329(f8(x100531,f918(f918(x100531,a905),f918(x100531,a905)),x100532),f311(x100531)),x100533)),f191(f918(x100531,a905)))),f191(f918(x100531,a905))),x100534),f329(f312(x100532,x100531,x100533),x100534)) % 166.52/166.35 [10147]~P30(x101471,x101472,x101473,f247(f918(x101471,a905)))+P1(f329(f329(f239(f918(x101471,a905)),f329(f313(x101471,x101472,x101473),f329(f329(f311(x101472),x101474),f191(f918(x101472,a905))))),f329(f329(f311(x101471),f87(x101471,f329(f329(f7(x101471,x101472,a905),f329(f329(f8(x101472,f918(x101472,a905),x101471),a326),x101473)),x101474))),f191(f918(x101471,a905))))) % 166.52/166.35 [5732]~E(f329(f329(f137(x57321),x57322),x57324),x57323)+E(f329(f329(f178(x57321),f329(f192(f911(x57321)),x57322)),x57323),x57322) % 166.52/166.35 [5733]~E(f329(f329(f137(x57332),x57333),x57331),x57334)+E(x57331,f329(f329(f141(x57332),f329(f192(f911(x57332)),x57333)),x57334)) % 166.52/166.35 [5744]~E(x57444,f2(a910))+E(f329(f329(f167(x57441),f329(f329(f154(x57441),x57442),x57443)),x57444),x57442) % 166.52/166.35 [6284]~P116(x62841)+E(f329(f329(f249(x62841),f329(f329(f249(x62841),x62842),x62843)),x62844),f329(f329(f249(x62841),x62842),f329(f329(f83(a910),x62843),x62844))) % 166.52/166.35 [6285]~P88(x62851)+E(f329(f329(f249(x62851),f329(f329(f249(x62851),x62852),x62853)),x62854),f329(f329(f249(x62851),x62852),f329(f329(f83(a910),x62853),x62854))) % 166.52/166.35 [6293]E(x62931,f2(a910))+E(f329(f329(f167(x62932),f329(f329(f154(x62932),x62933),x62934)),x62931),f329(f329(f167(x62932),x62934),f329(f329(f23(a910),x62931),f80(a910)))) % 166.52/166.35 [6321]~P126(x63211)+E(f329(f329(f292(x63211),f329(f329(f83(x63211),x63212),x63213)),x63214),f329(f329(f83(x63211),x63212),f329(f329(f292(x63211),x63213),x63214))) % 166.52/166.35 [6322]~P2(x63221)+E(f329(f329(f115(x63221),f329(f329(f115(x63221),x63222),x63223)),x63224),f329(f329(f115(x63221),x63222),f329(f329(f115(x63221),x63223),x63224))) % 166.52/166.35 [6324]~P103(x63241)+E(f329(f329(f115(x63241),f329(f329(f115(x63241),x63242),x63243)),x63244),f329(f329(f115(x63241),x63242),f329(f329(f115(x63241),x63243),x63244))) % 166.52/166.35 [6325]~P116(x63251)+E(f329(f329(f82(x63251),f329(f329(f82(x63251),x63252),x63253)),x63254),f329(f329(f82(x63251),x63252),f329(f329(f82(x63251),x63253),x63254))) % 166.52/166.35 [6326]~P8(x63261)+E(f329(f329(f82(x63261),f329(f329(f82(x63261),x63262),x63263)),x63264),f329(f329(f82(x63261),x63262),f329(f329(f82(x63261),x63263),x63264))) % 166.52/166.35 [6327]~P2(x63271)+E(f329(f329(f106(x63271),f329(f329(f106(x63271),x63272),x63273)),x63274),f329(f329(f106(x63271),x63272),f329(f329(f106(x63271),x63273),x63274))) % 166.52/166.35 [6329]~P104(x63291)+E(f329(f329(f106(x63291),f329(f329(f106(x63291),x63292),x63293)),x63294),f329(f329(f106(x63291),x63292),f329(f329(f106(x63291),x63293),x63294))) % 166.52/166.35 [6330]~P116(x63301)+E(f329(f329(f83(x63301),f329(f329(f83(x63301),x63302),x63303)),x63304),f329(f329(f83(x63301),x63302),f329(f329(f83(x63301),x63303),x63304))) % 166.52/166.35 [6331]~P76(x63311)+E(f329(f329(f83(x63311),f329(f329(f83(x63311),x63312),x63313)),x63314),f329(f329(f83(x63311),x63312),f329(f329(f83(x63311),x63313),x63314))) % 166.52/166.35 [6334]~P112(x63341)+E(f329(f329(f237(x63341),f329(f329(f237(x63341),x63342),x63343)),x63344),f329(f329(f237(x63341),x63342),f329(f329(f237(x63341),x63343),x63344))) % 166.52/166.35 [6336]~P112(x63361)+E(f329(f329(f238(x63361),f329(f329(f238(x63361),x63362),x63363)),x63364),f329(f329(f238(x63361),x63362),f329(f329(f238(x63361),x63363),x63364))) % 166.52/166.35 [6345]~P68(x63451)+E(f46(x63451,f329(f329(f82(x63451),x63452),f329(f329(f83(x63451),x63453),x63454)),x63454),f46(x63451,x63452,x63454)) % 166.52/166.35 [6346]~P68(x63461)+E(f46(x63461,f329(f329(f82(x63461),x63462),f329(f329(f83(x63461),x63463),x63464)),x63463),f46(x63461,x63462,x63463)) % 166.52/166.35 [6480]E(f329(f329(f167(x64801),f329(f329(f178(x64801),x64802),x64803)),x64804),f329(f329(f167(x64801),x64803),x64804))+~P1(f329(f329(f240(a910),x64804),x64802)) % 166.52/166.35 [6658]~E(x66582,x66584)+P1(f329(f329(f175(x66581),f329(f329(f154(x66581),x66582),x66583)),x66584)) % 166.52/166.35 [6660]~P116(x66601)+E(f329(f329(f82(x66601),f329(f329(f82(x66601),x66602),x66603)),x66604),f329(f329(f82(x66601),f329(f329(f82(x66601),x66602),x66604)),x66603)) % 166.52/166.35 [6661]~P116(x66611)+E(f329(f329(f83(x66611),f329(f329(f83(x66611),x66612),x66613)),x66614),f329(f329(f83(x66611),f329(f329(f83(x66611),x66612),x66614)),x66613)) % 166.52/166.35 [6722]~P109(x67222)+E(f329(f329(f6(x67221,x67222),f329(f16(x67222,x67221),x67223)),x67224),f329(f329(f83(x67222),f329(f105(x67222),f329(f36(x67221),x67224))),x67223)) % 166.52/166.35 [6889]E(f329(f329(f106(f918(x68891,a905)),f329(f329(f311(x68891),x68892),x68893)),x68894),f329(f329(f106(f918(x68891,a905)),x68893),x68894))+P1(f329(f329(f331(x68891),x68892),x68894)) % 166.52/166.35 [6956]~P101(x69561)+E(f329(f329(f106(x69561),f329(f329(f115(x69561),x69562),x69563)),f329(f329(f115(x69561),x69564),x69563)),f329(f329(f115(x69561),f329(f329(f106(x69561),x69562),x69564)),x69563)) % 166.52/166.35 [6957]~P84(x69571)+E(f329(f329(f237(x69571),f329(f329(f82(x69571),x69572),x69573)),f329(f329(f82(x69571),x69574),x69573)),f329(f329(f82(x69571),f329(f329(f237(x69571),x69572),x69574)),x69573)) % 166.52/166.35 [6958]~P84(x69581)+E(f329(f329(f238(x69581),f329(f329(f82(x69581),x69582),x69583)),f329(f329(f82(x69581),x69584),x69583)),f329(f329(f82(x69581),f329(f329(f238(x69581),x69582),x69584)),x69583)) % 166.52/166.35 [6959]~P86(x69591)+E(f329(f329(f237(x69591),f329(f329(f23(x69591),x69592),x69593)),f329(f329(f23(x69591),x69594),x69593)),f329(f329(f23(x69591),f329(f329(f237(x69591),x69592),x69594)),x69593)) % 166.52/166.35 [6960]~P86(x69601)+E(f329(f329(f238(x69601),f329(f329(f23(x69601),x69602),x69603)),f329(f329(f23(x69601),x69604),x69603)),f329(f329(f23(x69601),f329(f329(f238(x69601),x69602),x69604)),x69603)) % 166.52/166.35 [6961]~P101(x69611)+E(f329(f329(f115(x69611),f329(f329(f106(x69611),x69612),x69613)),f329(f329(f106(x69611),x69614),x69613)),f329(f329(f106(x69611),f329(f329(f115(x69611),x69612),x69614)),x69613)) % 166.52/166.35 [6963]~P117(x69631)+E(f329(f329(f82(x69631),f329(f329(f83(x69631),x69632),x69633)),f329(f329(f83(x69631),x69634),x69633)),f329(f329(f83(x69631),f329(f329(f82(x69631),x69632),x69634)),x69633)) % 166.52/166.35 [6964]~P112(x69641)+E(f329(f329(f238(x69641),f329(f329(f237(x69641),x69642),x69643)),f329(f329(f237(x69641),x69644),x69643)),f329(f329(f237(x69641),f329(f329(f238(x69641),x69642),x69644)),x69643)) % 166.52/166.35 [6965]~P112(x69651)+E(f329(f329(f237(x69651),f329(f329(f238(x69651),x69652),x69653)),f329(f329(f238(x69651),x69654),x69653)),f329(f329(f238(x69651),f329(f329(f237(x69651),x69652),x69654)),x69653)) % 166.52/166.35 [6966]~P116(x69661)+E(f329(f329(f83(x69661),f329(f329(f249(x69661),x69662),x69663)),f329(f329(f249(x69661),x69664),x69663)),f329(f329(f249(x69661),f329(f329(f83(x69661),x69662),x69664)),x69663)) % 166.52/166.35 [6967]~P80(x69671)+E(f329(f329(f83(x69671),f329(f329(f249(x69671),x69672),x69673)),f329(f329(f249(x69671),x69674),x69673)),f329(f329(f249(x69671),f329(f329(f83(x69671),x69672),x69674)),x69673)) % 166.52/166.35 [6968]~P71(x69681)+E(f329(f329(f292(x69681),f329(f329(f249(x69681),x69682),x69683)),f329(f329(f249(x69681),x69684),x69683)),f329(f329(f249(x69681),f329(f329(f292(x69681),x69682),x69684)),x69683)) % 166.52/166.35 [6969]~P126(x69691)+E(f329(f329(f82(x69691),f329(f329(f292(x69691),x69692),x69693)),f329(f329(f292(x69691),x69694),x69693)),f329(f329(f292(x69691),f329(f329(f82(x69691),x69692),x69694)),x69693)) % 166.52/166.35 [6970]~P126(x69701)+E(f329(f329(f23(x69701),f329(f329(f292(x69701),x69702),x69703)),f329(f329(f292(x69701),x69704),x69703)),f329(f329(f292(x69701),f329(f329(f23(x69701),x69702),x69704)),x69703)) % 166.52/166.35 [6971]~P116(x69711)+E(f329(f329(f82(x69711),f329(f329(f83(x69711),x69712),x69713)),f329(f329(f83(x69711),x69714),x69713)),f329(f329(f83(x69711),f329(f329(f82(x69711),x69712),x69714)),x69713)) % 166.52/166.35 [7002]E(f329(f329(f162(x70021,x70022),x70023),x70024),x70022)+~P1(f329(f329(f239(a910),f329(f192(f911(x70021)),x70022)),x70023)) % 166.52/166.35 [7028]~P1(f329(x70283,x70284))+P1(f329(f329(f329(f115(f918(x70281,a905)),x70282),x70283),x70284)) % 166.52/166.35 [7030]~P1(f329(x70302,x70304))+P1(f329(f329(f329(f115(f918(x70301,a905)),x70302),x70303),x70304)) % 166.52/166.35 [7050]E(f329(f329(f167(x70501),f329(f329(f137(x70501),x70502),x70503)),x70504),f329(f329(f167(x70501),x70502),x70504))+~P1(f329(f329(f240(a910),x70504),f329(f192(f911(x70501)),x70502))) % 166.52/166.35 [7060]E(f329(f329(f23(f918(x70601,a905)),f329(f329(f311(x70601),x70602),x70603)),x70604),f329(f329(f23(f918(x70601,a905)),x70603),x70604))+~P1(f329(f329(f331(x70601),x70602),x70604)) % 166.52/166.35 [7101]~E(f142(a910,f329(f304(a910,x71011),x71012)),f329(f329(f154(a910),x71014),x71013))+E(f142(a910,f329(f304(a910,f329(f329(f82(a910),x71011),f80(a910))),x71012)),x71013) % 166.52/166.35 [7123]~P1(f329(f329(f175(x71231),x71233),x71234))+P1(f329(f329(f175(x71231),f329(f329(f154(x71231),x71232),x71233)),x71234)) % 166.52/166.35 [7172]E(x71721,f2(a910))+E(f329(f329(f154(x71722),x71723),f329(f329(f178(x71722),f329(f329(f23(a910),x71721),f80(a910))),x71724)),f329(f329(f178(x71722),x71721),f329(f329(f154(x71722),x71723),x71724))) % 166.52/166.35 [7271]E(f329(f329(f167(x72711),x72712),f329(f329(f23(a910),x72713),f329(f192(f911(x72711)),x72714))),f329(f329(f167(x72711),f329(f329(f137(x72711),x72714),x72712)),x72713))+P1(f329(f329(f240(a910),x72713),f329(f192(f911(x72711)),x72714))) % 166.52/166.35 [7301]E(f329(f329(f106(f918(x73011,a905)),x73012),f329(f329(f311(x73011),x73013),x73014)),f329(f329(f311(x73011),x73013),f329(f329(f106(f918(x73011,a905)),x73012),x73014)))+~P1(f329(f329(f331(x73011),x73013),x73012)) % 166.52/166.35 [7339]E(f329(f329(f167(x73391),f329(f329(f162(x73391,x73392),x73393),x73394)),x73393),x73394)+~P1(f329(f329(f240(a910),x73393),f329(f192(f911(x73391)),x73392))) % 166.52/166.35 [7361]E(x73611,f191(f918(x73612,a905)))+E(f329(f312(f917(x73613,x73612),x73613,f256(x73613,x73612)),f329(f329(f259(x73613,x73612),x73614),f329(f16(f918(x73612,a905),x73613),x73611))),x73614) % 166.52/166.35 [7362]E(x73621,f191(f918(x73622,a905)))+E(f329(f312(f917(x73622,x73623),x73623,f261(x73622,x73623)),f329(f329(f259(x73622,x73623),x73621),f329(f16(f918(x73623,a905),x73622),x73624))),x73624) % 166.52/166.35 [7441]E(f329(f329(f23(f918(x74411,a905)),f329(f329(f311(x74411),x74412),x74413)),x74414),f329(f329(f311(x74411),x74412),f329(f329(f23(f918(x74411,a905)),x74413),x74414)))+P1(f329(f329(f331(x74411),x74412),x74414)) % 166.52/166.35 [7478]~E(x74784,f191(f918(x74782,a905)))+E(f329(f312(f917(x74781,x74782),x74781,f256(x74781,x74782)),f329(f329(f259(x74781,x74782),x74783),f329(f16(f918(x74782,a905),x74781),x74784))),f191(f918(x74781,a905))) % 166.52/166.35 [7479]~E(x74793,f191(f918(x74791,a905)))+E(f329(f312(f917(x74791,x74792),x74792,f261(x74791,x74792)),f329(f329(f259(x74791,x74792),x74793),f329(f16(f918(x74792,a905),x74791),x74794))),f191(f918(x74792,a905))) % 166.52/166.35 [7533]~P1(f329(f329(f331(x75331),x75332),x75334))+P1(f329(f329(f331(x75331),x75332),f329(f329(f115(f918(x75331,a905)),x75333),x75334))) % 166.52/166.35 [7536]~P1(f329(f329(f331(x75361),x75362),x75363))+P1(f329(f329(f331(x75361),x75362),f329(f329(f115(f918(x75361,a905)),x75363),x75364))) % 166.52/166.35 [7557]E(f329(f329(f106(f918(x75571,a905)),f329(f329(f311(x75571),x75572),x75573)),x75574),f329(f329(f311(x75571),x75572),f329(f329(f106(f918(x75571,a905)),x75573),x75574)))+~P1(f329(f329(f331(x75571),x75572),x75574)) % 166.52/166.35 [7830]P1(f329(x78301,x78302))+~P1(f329(f329(f329(f106(f918(x78303,a905)),x78304),x78301),x78302)) % 166.52/166.35 [7831]P1(f329(x78311,x78312))+~P1(f329(f329(f329(f106(f918(x78313,a905)),x78311),x78314),x78312)) % 166.52/166.35 [7832]E(f329(f329(f6(x78321,a910),x78322),f329(f329(f23(f918(x78321,a905)),x78323),f329(f329(f311(x78321),x78324),f191(f918(x78321,a905))))),f329(f329(f6(x78321,a910),x78322),x78323))+P1(f329(f329(f331(x78321),x78324),x78323)) % 166.52/166.35 [7838]~P5(x78381)+E(f329(f168(x78381),f329(f329(f157(a910,x78381),x78382),f142(a910,f329(f304(a910,x78383),x78384)))),f329(f329(f6(a910,x78381),x78382),f329(f175(a910),f142(a910,f329(f304(a910,x78383),x78384))))) % 166.52/166.35 [7839]~P5(x78391)+E(f329(f329(f6(a910,x78391),x78392),f329(f175(a910),f142(a910,f329(f304(a910,x78393),x78394)))),f329(f168(x78391),f329(f329(f157(a910,x78391),x78392),f142(a910,f329(f304(a910,x78393),x78394))))) % 166.52/166.35 [7958]~E(x79583,x79584)+P1(f329(f63(x79581,x79582,f329(f329(f311(x79581),x79583),f191(f918(x79581,a905)))),x79584)) % 166.52/166.35 [8055]P1(f329(f329(f331(x80551),x80552),f329(f175(x80551),x80553)))+~P1(f329(f329(f331(x80551),x80552),f329(f175(x80551),f329(f329(f178(x80551),x80554),x80553)))) % 166.52/166.35 [8056]P1(f329(f329(f331(x80561),x80562),f329(f175(x80561),x80563)))+~P1(f329(f329(f331(x80561),x80562),f329(f175(x80561),f329(f329(f141(x80561),x80564),x80563)))) % 166.52/166.35 [8132]P1(f329(f329(f331(x81321),x81322),x81323))+~P1(f329(f329(f331(x81321),x81322),f329(f329(f23(f918(x81321,a905)),x81323),x81324))) % 166.52/166.35 [8134]P1(f329(f329(f331(x81341),x81342),x81343))+~P1(f329(f329(f331(x81341),x81342),f329(f329(f106(f918(x81341,a905)),x81344),x81343))) % 166.52/166.35 [8137]P1(f329(f329(f331(x81371),x81372),x81373))+~P1(f329(f329(f331(x81371),x81372),f329(f329(f106(f918(x81371,a905)),x81373),x81374))) % 166.52/166.35 [8155]E(f329(f329(f137(x81551),f329(f329(f178(x81551),x81552),x81553)),f329(f329(f154(x81551),x81554),f329(f329(f141(x81551),f329(a117,x81552)),x81553))),f329(f329(f162(x81551,x81553),x81552),x81554))+~P1(f329(f329(f240(a910),x81552),f329(f192(f911(x81551)),x81553))) % 166.52/166.35 [8180]P1(f329(f329(f331(x81801),x81802),x81803))+~P1(f329(f329(f239(f918(x81801,a905)),f329(f329(f311(x81801),x81802),x81804)),x81803)) % 166.52/166.35 [8217]~P1(f329(f329(f331(x82171),x82172),x82173))+~P1(f329(f329(f331(x82171),x82172),f329(f329(f23(f918(x82171,a905)),x82174),x82173))) % 166.52/166.35 [8250]~P1(f329(f329(f240(a910),x82504),f329(f192(f911(x82501)),x82503)))+P1(f329(f329(f331(x82501),x82502),f329(f175(x82501),f329(f329(f162(x82501,x82503),x82504),x82502)))) % 166.52/166.35 [8301]E(f329(f329(f167(x83011),f329(f329(f141(x83011),x83012),x83013)),x83014),f329(f329(f167(x83011),x83013),f329(f329(f82(a910),x83012),x83014)))+~P1(f329(f329(f239(a910),f329(f329(f82(a910),x83012),x83014)),f329(f192(f911(x83011)),x83013))) % 166.52/166.35 [8310]~P109(x83102)+E(f329(f329(f6(x83101,x83102),f329(f329(f8(a910,x83102,x83101),f105(x83102)),x83103)),x83104),f329(f105(x83102),f329(f329(f6(x83101,a910),x83103),x83104))) % 166.52/166.35 [8311]~P120(x83112)+E(f329(f329(f6(x83111,x83112),f329(f329(f8(a1,x83112,x83111),f107(x83112)),x83113)),x83114),f329(f107(x83112),f329(f329(f6(x83111,a1),x83113),x83114))) % 166.52/166.35 [8362]~P74(x83622)+E(f329(f329(f9(x83621,x83622),f329(f329(f8(x83622,x83622,x83621),f77(x83622)),x83623)),x83624),f329(f77(x83622),f329(f329(f9(x83621,x83622),x83623),x83624))) % 166.52/166.35 [8363]~P75(x83632)+E(f329(f329(f6(x83631,x83632),f329(f329(f8(x83632,x83632,x83631),f81(x83632)),x83633)),x83634),f329(f81(x83632),f329(f329(f6(x83631,x83632),x83633),x83634))) % 166.52/166.35 [8365]E(f329(f329(f6(x83651,a910),x83652),f329(f329(f23(f918(x83651,a905)),x83653),f329(f329(f311(x83651),x83654),f191(f918(x83651,a905))))),f329(f329(f23(a910),f329(f329(f6(x83651,a910),x83652),x83653)),f329(x83652,x83654)))+~P1(f329(f329(f331(x83651),x83654),x83653)) % 166.52/166.35 [8384]P1(f329(f329(f239(f918(x83841,a905)),x83842),x83843))+~P1(f329(f329(f239(f918(x83841,a905)),f329(f329(f311(x83841),x83844),x83842)),x83843)) % 166.52/166.35 [8509]~E(f329(f312(x85092,x85093,x85091),f247(f918(x85092,a905))),f247(f918(x85093,a905)))+E(f329(x85091,f329(f94(x85092,x85093,f247(f918(x85092,a905)),x85091),x85094)),x85094) % 166.52/166.35 [8599]P43(x85991,x85992)+~P43(x85991,f329(f329(f311(f917(x85991,x85991)),f329(f329(f257(x85991,x85991),x85993),x85994)),x85992)) % 166.52/166.35 [8600]P65(x86001,x86002)+~P65(x86001,f329(f329(f311(f917(x86001,x86001)),f329(f329(f257(x86001,x86001),x86003),x86004)),x86002)) % 166.52/166.35 [8608]~P112(x86081)+E(f329(f329(f151(x86081,x86081,f5(x86081)),x86082),f329(f329(f151(x86081,x86081,f5(x86081)),x86083),x86084)),f329(f329(f151(x86081,x86081,f5(x86081)),x86083),f329(f329(f151(x86081,x86081,f5(x86081)),x86082),x86084))) % 166.52/166.35 [8623]E(x86231,x86232)+~P1(f329(f63(x86233,x86234,f329(f329(f311(x86233),x86231),f191(f918(x86233,a905)))),x86232)) % 166.52/166.35 [8634]E(f329(f329(f137(x86341),f329(f329(f178(x86341),x86342),x86343)),f329(f329(f178(x86341),x86344),f329(f329(f141(x86341),x86342),x86343))),f329(f329(f178(x86341),f329(f329(f82(a910),x86342),x86344)),x86343))+~P1(f329(f329(f239(a910),f329(f329(f82(a910),x86342),x86344)),f329(f192(f911(x86341)),x86343))) % 166.52/166.35 [8675]P1(f329(f62(x86751),x86752))+~E(x86752,f329(f312(a910,x86751,x86753),f329(f267(a910),f329(f329(f7(a910,a910,a905),f240(a910)),x86754)))) % 166.52/166.35 [8695]~P94(x86951)+E(f329(f145(x86951,x86951,f82(x86951),f329(f329(f82(x86951),x86952),x86953)),x86954),f329(f329(f82(x86951),x86952),f329(f145(x86951,x86951,f82(x86951),x86953),x86954))) % 166.52/166.35 [8730]P1(f329(f329(f239(f918(x87301,a905)),f329(f269(x87301,x87302),x87303)),f329(f269(x87301,x87302),x87304)))+~P1(f329(f329(f239(f918(f917(x87301,x87302),a905)),x87303),x87304)) % 166.52/166.35 [8742]~P1(f329(f329(f239(a910),x87422),x87424))+P1(f329(f329(f239(f918(x87421,a905)),f329(f175(x87421),f329(f329(f178(x87421),x87422),x87423))),f329(f175(x87421),f329(f329(f178(x87421),x87424),x87423)))) % 166.52/166.35 [8743]~P1(f329(f329(f239(a910),x87434),x87432))+P1(f329(f329(f239(f918(x87431,a905)),f329(f175(x87431),f329(f329(f141(x87431),x87432),x87433))),f329(f175(x87431),f329(f329(f141(x87431),x87434),x87433)))) % 166.52/166.35 [8796]~P1(f329(f62(x87961),f329(f329(f23(f918(x87961,a905)),x87962),x87964)))+P1(f329(f62(x87961),f329(f329(f23(f918(x87961,a905)),x87962),f329(f329(f311(x87961),x87963),x87964)))) % 166.52/166.35 [8833]P1(f329(f329(f331(f917(x88331,x88331)),x88332),f309(x88331,x88333)))+~P1(f329(f329(f331(f917(x88331,x88331)),x88332),f329(f329(f186(f917(x88331,x88331),a905),x88334),x88333))) % 166.52/166.35 [8913]~P1(f329(f62(x89131),f329(f329(f23(f918(x89131,a905)),x89132),f329(f329(f311(x89131),x89134),x89133))))+P1(f329(f62(x89131),f329(f329(f23(f918(x89131,a905)),x89132),x89133))) % 166.52/166.35 [9126]~P2(x91261)+P1(f329(f329(f239(x91261),f329(f329(f115(x91261),x91262),f329(f329(f106(x91261),x91263),x91264))),f329(f329(f106(x91261),f329(f329(f115(x91261),x91262),x91263)),f329(f329(f115(x91261),x91262),x91264)))) % 166.52/166.35 [9127]~P112(x91271)+P1(f329(f329(f239(x91271),f329(f329(f238(x91271),x91272),f329(f329(f237(x91271),x91273),x91274))),f329(f329(f237(x91271),f329(f329(f238(x91271),x91272),x91273)),f329(f329(f238(x91271),x91272),x91274)))) % 166.52/166.35 [9285]E(x92851,x92852)+~P1(f329(f329(f331(f917(x92853,x92853)),f329(f329(f257(x92853,x92853),x92851),x92852)),f329(f175(f917(x92853,x92853)),f329(f329(f184(x92853,x92853),x92854),x92854)))) % 166.52/166.35 [9317]~P1(f329(f329(f331(f917(x93171,x93171)),f329(f329(f257(x93171,x93171),x93173),x93172)),f309(x93171,x93174)))+~P43(x93171,f329(f329(f311(f917(x93171,x93171)),f329(f329(f257(x93171,x93171),x93172),x93173)),x93174)) % 166.52/166.35 [9318]~P1(f329(f329(f331(f917(x93181,x93181)),f329(f329(f257(x93181,x93181),x93183),x93182)),f309(x93181,x93184)))+~P65(x93181,f329(f329(f311(f917(x93181,x93181)),f329(f329(f257(x93181,x93181),x93182),x93183)),x93184)) % 166.52/166.35 [9322]E(x93221,x93222)+E(f329(f139(x93223,f329(f329(f8(a905,a905,x93223),a324),f329(a326,x93221))),f329(f329(f154(x93223),x93222),x93224)),f329(f329(f154(x93223),x93222),f329(f139(x93223,f329(f329(f8(a905,a905,x93223),a324),f329(a326,x93221))),x93224))) % 166.52/166.35 [9364]~P2(x93641)+P1(f329(f329(f239(x93641),f329(f329(f115(x93641),f329(f329(f106(x93641),x93642),x93643)),f329(f329(f106(x93641),x93642),x93644))),f329(f329(f106(x93641),x93642),f329(f329(f115(x93641),x93643),x93644)))) % 166.52/166.35 [9365]~P112(x93651)+P1(f329(f329(f239(x93651),f329(f329(f238(x93651),f329(f329(f237(x93651),x93652),x93653)),f329(f329(f237(x93651),x93652),x93654))),f329(f329(f237(x93651),x93652),f329(f329(f238(x93651),x93653),x93654)))) % 166.52/166.35 [9426]~P31(x94262,x94261,x94264,f247(f918(x94262,a905)),f247(f918(x94261,a905)))+E(f329(f267(x94261),f329(f329(f8(x94262,a905,x94261),x94263),f94(x94262,x94261,f247(f918(x94262,a905)),x94264))),f329(f312(x94262,x94261,x94264),f329(f267(x94262),x94263))) % 166.52/166.35 [9439]~E(f329(f312(x94392,x94391,x94393),f247(f918(x94392,a905))),f247(f918(x94391,a905)))+P1(f329(f329(f239(f918(x94391,a905)),f329(f81(f918(x94391,a905)),f329(f312(x94392,x94391,x94393),x94394))),f329(f312(x94392,x94391,x94393),f329(f81(f918(x94392,a905)),x94394)))) % 166.52/166.35 [9766]P1(f329(f329(f331(f917(x97661,x97661)),f329(f329(f257(x97661,x97661),x97662),x97663)),f329(f289(x97661,x97661),f329(f329(f291(x97661,x97661,x97661),x97664),f309(x97661,x97664)))))+~P1(f329(f329(f331(f917(x97661,x97661)),f329(f329(f257(x97661,x97661),x97662),x97663)),f329(f329(f291(x97661,x97661,x97661),f329(f289(x97661,x97661),x97664)),f309(x97661,f329(f289(x97661,x97661),x97664))))) % 166.52/166.35 [9767]~P1(f329(f329(f331(f917(x97671,x97671)),f329(f329(f257(x97671,x97671),x97672),x97673)),f329(f289(x97671,x97671),f329(f329(f291(x97671,x97671,x97671),x97674),f309(x97671,x97674)))))+P1(f329(f329(f331(f917(x97671,x97671)),f329(f329(f257(x97671,x97671),x97672),x97673)),f329(f329(f291(x97671,x97671,x97671),f329(f289(x97671,x97671),x97674)),f309(x97671,f329(f289(x97671,x97671),x97674))))) % 166.52/166.35 [9788]~P1(f329(f329(f331(x97882),x97884),f329(f287(x97881,x97882),x97883)))+P1(f329(f329(f331(f917(x97881,x97882)),f329(f329(f257(x97881,x97882),f548(x97883,x97881,x97884,x97882)),x97884)),x97883)) % 166.52/166.35 [9789]~P1(f329(f329(f331(x97892),x97894),f329(f287(x97891,x97892),x97893)))+P1(f329(f329(f331(f917(x97891,x97892)),f329(f329(f257(x97891,x97892),f562(x97893,x97891,x97894,x97892)),x97894)),x97893)) % 166.52/166.35 [9814]~P1(f329(f329(f331(x98141),x98144),f329(f329(f115(f918(x98141,a905)),x98142),x98143)))+P1(f329(f329(f329(f115(f918(x98141,a905)),f329(f329(f7(x98141,f918(x98141,a905),a905),f331(x98141)),x98142)),f329(f329(f7(x98141,f918(x98141,a905),a905),f331(x98141)),x98143)),x98144)) % 166.52/166.35 [9815]~P1(f329(f329(f331(x98151),x98154),f329(f329(f106(f918(x98151,a905)),x98152),x98153)))+P1(f329(f329(f329(f106(f918(x98151,a905)),f329(f329(f7(x98151,f918(x98151,a905),a905),f331(x98151)),x98152)),f329(f329(f7(x98151,f918(x98151,a905),a905),f331(x98151)),x98153)),x98154)) % 166.52/166.35 [9895]~P1(f329(f329(f331(f917(x98951,x98951)),f329(f329(f257(x98951,x98951),x98954),x98953)),f329(f329(f291(x98951,x98951,x98951),x98952),f309(x98951,x98952))))+P1(f329(f329(f331(f917(x98951,x98951)),f329(f329(f257(x98951,x98951),f619(x98952,x98953,x98954,x98951)),x98953)),x98952)) % 166.52/166.35 [9932]P1(f329(f329(f331(x99321),x99322),f329(f329(f115(f918(x99321,a905)),x99323),x99324)))+~P1(f329(f329(f329(f115(f918(x99321,a905)),f329(f329(f7(x99321,f918(x99321,a905),a905),f331(x99321)),x99323)),f329(f329(f7(x99321,f918(x99321,a905),a905),f331(x99321)),x99324)),x99322)) % 166.52/166.35 [9933]P1(f329(f329(f331(x99331),x99332),f329(f329(f106(f918(x99331,a905)),x99333),x99334)))+~P1(f329(f329(f329(f106(f918(x99331,a905)),f329(f329(f7(x99331,f918(x99331,a905),a905),f331(x99331)),x99333)),f329(f329(f7(x99331,f918(x99331,a905),a905),f331(x99331)),x99334)),x99332)) % 166.52/166.35 [10200]P38(x102001,f329(f329(f7(x102001,f918(f917(x102001,x102001),a905),f918(x102001,a905)),f329(f329(f8(f918(x102001,f918(f918(f917(x102001,x102001),a905),a905)),f918(f918(f917(x102001,x102001),a905),f918(x102001,a905)),x102001),f7(x102001,f918(f917(x102001,x102001),a905),a905)),f329(f329(f8(f918(x102001,f917(x102001,x102001)),f918(x102001,f918(f918(f917(x102001,x102001),a905),a905)),x102001),f329(f8(f917(x102001,x102001),f918(f918(f917(x102001,x102001),a905),a905),x102001),f331(f917(x102001,x102001)))),f257(x102001,x102001)))),x102002),x102003,x102004)+~P1(f329(f329(f331(f917(f911(x102001),f911(x102001))),f329(f329(f257(f911(x102001),f911(x102001)),x102003),x102004)),f161(x102001,x102002))) % 166.52/166.35 [10204]P66(x102041,f329(f329(f7(x102041,f918(f917(x102041,x102041),a905),f918(x102041,a905)),f329(f329(f8(f918(x102041,f918(f918(f917(x102041,x102041),a905),a905)),f918(f918(f917(x102041,x102041),a905),f918(x102041,a905)),x102041),f7(x102041,f918(f917(x102041,x102041),a905),a905)),f329(f329(f8(f918(x102041,f917(x102041,x102041)),f918(x102041,f918(f918(f917(x102041,x102041),a905),a905)),x102041),f329(f8(f917(x102041,x102041),f918(f918(f917(x102041,x102041),a905),a905),x102041),f331(f917(x102041,x102041)))),f257(x102041,x102041)))),x102042),x102043,x102044)+~P1(f329(f329(f331(f917(f918(x102041,a905),f918(x102041,a905))),f329(f329(f257(f918(x102041,a905),f918(x102041,a905)),x102043),x102044)),f320(x102041,x102042))) % 166.52/166.35 [10240]E(x102401,x102402)+~E(f329(f329(f7(x102403,f918(f917(x102403,x102404),a905),f918(x102404,a905)),f329(f329(f8(f918(x102404,f918(f918(f917(x102403,x102404),a905),a905)),f918(f918(f917(x102403,x102404),a905),f918(x102404,a905)),x102403),f7(x102404,f918(f917(x102403,x102404),a905),a905)),f329(f329(f8(f918(x102404,f917(x102403,x102404)),f918(x102404,f918(f918(f917(x102403,x102404),a905),a905)),x102403),f329(f8(f917(x102403,x102404),f918(f918(f917(x102403,x102404),a905),a905),x102404),f331(f917(x102403,x102404)))),f257(x102403,x102404)))),x102401),f329(f329(f7(x102403,f918(f917(x102403,x102404),a905),f918(x102404,a905)),f329(f329(f8(f918(x102404,f918(f918(f917(x102403,x102404),a905),a905)),f918(f918(f917(x102403,x102404),a905),f918(x102404,a905)),x102403),f7(x102404,f918(f917(x102403,x102404),a905),a905)),f329(f329(f8(f918(x102404,f917(x102403,x102404)),f918(x102404,f918(f918(f917(x102403,x102404),a905),a905)),x102403),f329(f8(f917(x102403,x102404),f918(f918(f917(x102403,x102404),a905),a905),x102404),f331(f917(x102403,x102404)))),f257(x102403,x102404)))),x102402)) % 166.52/166.35 [10243]~P38(x102431,f329(f329(f7(x102431,f918(f917(x102431,x102431),a905),f918(x102431,a905)),f329(f329(f8(f918(x102431,f918(f918(f917(x102431,x102431),a905),a905)),f918(f918(f917(x102431,x102431),a905),f918(x102431,a905)),x102431),f7(x102431,f918(f917(x102431,x102431),a905),a905)),f329(f329(f8(f918(x102431,f917(x102431,x102431)),f918(x102431,f918(f918(f917(x102431,x102431),a905),a905)),x102431),f329(f8(f917(x102431,x102431),f918(f918(f917(x102431,x102431),a905),a905),x102431),f331(f917(x102431,x102431)))),f257(x102431,x102431)))),x102434),x102432,x102433)+P1(f329(f329(f331(f917(f911(x102431),f911(x102431))),f329(f329(f257(f911(x102431),f911(x102431)),x102432),x102433)),f161(x102431,x102434))) % 166.52/166.35 [10244]~P66(x102441,f329(f329(f7(x102441,f918(f917(x102441,x102441),a905),f918(x102441,a905)),f329(f329(f8(f918(x102441,f918(f918(f917(x102441,x102441),a905),a905)),f918(f918(f917(x102441,x102441),a905),f918(x102441,a905)),x102441),f7(x102441,f918(f917(x102441,x102441),a905),a905)),f329(f329(f8(f918(x102441,f917(x102441,x102441)),f918(x102441,f918(f918(f917(x102441,x102441),a905),a905)),x102441),f329(f8(f917(x102441,x102441),f918(f918(f917(x102441,x102441),a905),a905),x102441),f331(f917(x102441,x102441)))),f257(x102441,x102441)))),x102444),x102442,x102443)+P1(f329(f329(f331(f917(f918(x102441,a905),f918(x102441,a905))),f329(f329(f257(f918(x102441,a905),f918(x102441,a905)),x102442),x102443)),f320(x102441,x102444))) % 166.52/166.35 [7607]~P96(x76071)+E(f329(f329(f82(x76071),f329(f108(x76071),x76072)),f329(f329(f82(x76071),f329(f108(x76071),x76073)),x76074)),f329(f329(f82(x76071),f329(f108(x76071),f329(f329(f82(a1),x76072),x76073))),x76074)) % 166.52/166.35 [7608]~P96(x76081)+E(f329(f329(f82(x76081),f329(f108(x76081),x76082)),f329(f329(f23(x76081),f329(f108(x76081),x76083)),x76084)),f329(f329(f23(x76081),f329(f108(x76081),f329(f329(f82(a1),x76082),x76083))),x76084)) % 166.52/166.35 [7609]~P96(x76091)+E(f329(f329(f83(x76091),f329(f108(x76091),x76092)),f329(f329(f83(x76091),f329(f108(x76091),x76093)),x76094)),f329(f329(f83(x76091),f329(f108(x76091),f329(f329(f83(a1),x76092),x76093))),x76094)) % 166.52/166.35 [7649]~P109(x76491)+E(f329(f168(x76491),f329(f329(f157(x76492,x76491),f329(f16(x76491,x76492),x76493)),x76494)),f329(f329(f83(x76491),f329(f105(x76491),f329(f192(f911(x76492)),x76494))),x76493)) % 166.52/166.35 [7887]E(f329(f273(x78871,f329(f329(f154(f917(a104,x78871)),x78872),x78873)),x78874),f329(f261(a104,x78871),x78872))+~P1(f329(f329(f240(a104),x78874),f329(f256(a104,x78871),x78872))) % 166.52/166.35 [7935]~P96(x79351)+E(f329(f329(f82(x79351),f329(f108(x79351),x79352)),f329(f329(f23(x79351),x79353),f329(f108(x79351),x79354))),f329(f329(f82(x79351),f329(f108(x79351),f329(f329(f82(a1),x79352),f329(f81(a1),x79354)))),x79353)) % 166.52/166.35 [8069]E(f329(f273(x80691,x80692),f329(f329(f23(a104),x80693),f329(f256(a104,x80691),x80694))),f329(f273(x80691,f329(f329(f154(f917(a104,x80691)),x80694),x80692)),x80693))+P1(f329(f329(f240(a104),x80693),f329(f256(a104,x80691),x80694))) % 166.52/166.35 [8515]~P1(f329(f329(f331(x85151),x85152),f329(f175(x85151),f119(x85151,x85154))))+P1(f329(f329(f331(x85151),x85152),f329(f175(x85151),f119(x85151,f329(f329(f137(x85151),x85153),x85154))))) % 166.52/166.35 [8516]~P1(f329(f329(f331(x85161),x85162),f329(f175(x85161),f119(x85161,x85163))))+P1(f329(f329(f331(x85161),x85162),f329(f175(x85161),f119(x85161,f329(f329(f137(x85161),x85163),x85164))))) % 166.52/166.35 [8536]E(f329(f329(f115(f918(x85361,a905)),f329(f329(f106(f918(x85361,a905)),x85362),x85363)),x85364),f329(f329(f106(f918(x85361,a905)),x85362),f329(f329(f115(f918(x85361,a905)),x85363),x85364)))+~P1(f329(f329(f239(f918(x85361,a905)),x85364),x85362)) % 166.52/166.35 [8846]~E(f329(f329(f115(f918(x88461,a905)),f329(f329(f106(f918(x88461,a905)),x88463),x88464)),x88462),f329(f329(f106(f918(x88461,a905)),x88463),f329(f329(f115(f918(x88461,a905)),x88464),x88462)))+P1(f329(f329(f239(f918(x88461,a905)),x88462),x88463)) % 166.52/166.35 [9132]~P1(f329(f329(f239(f918(x91321,a905)),x91322),f329(f329(f115(f918(x91321,a905)),x91323),x91324)))+P1(f329(f329(f239(f918(x91321,a905)),f329(f329(f23(f918(x91321,a905)),x91322),x91323)),x91324)) % 166.52/166.35 [9249]~E(f329(f312(x92491,x92492,x92493),f247(f918(x92491,a905))),f247(f918(x92492,a905)))+E(f329(f312(x92491,x92492,x92493),f329(f312(x92492,x92491,f94(x92491,x92492,f247(f918(x92491,a905)),x92493)),x92494)),x92494) % 166.52/166.35 [9259]P1(f329(f329(f239(f918(x92591,a905)),x92592),f329(f329(f115(f918(x92591,a905)),x92593),x92594)))+~P1(f329(f329(f239(f918(x92591,a905)),f329(f329(f23(f918(x92591,a905)),x92592),x92593)),x92594)) % 166.52/166.35 [9347]~P89(x93471)+E(f329(f77(x93471),f329(f329(f6(x93472,x93471),f329(f329(f8(x93471,x93471,x93472),f77(x93471)),x93473)),x93474)),f329(f329(f6(x93472,x93471),f329(f329(f8(x93471,x93471,x93472),f77(x93471)),x93473)),x93474)) % 166.52/166.35 [9515]~P89(x95151)+P1(f329(f329(f239(x95151),f2(x95151)),f329(f329(f6(x95152,x95151),f329(f329(f8(x95151,x95151,x95152),f77(x95151)),x95153)),x95154))) % 166.52/166.35 [9519]~P75(x95191)+E(f329(f168(x95191),f329(f329(f157(x95192,x95191),f329(f74(x95191,x95191,x95192,f81(x95191)),x95193)),x95194)),f329(f81(x95191),f329(f168(x95191),f329(f329(f157(x95192,x95191),x95193),x95194)))) % 166.52/166.35 [9660]~P89(x96601)+P1(f329(f329(f239(x96601),f329(f77(x96601),f329(f329(f6(x96602,x96601),x96603),x96604))),f329(f329(f6(x96602,x96601),f329(f329(f8(x96601,x96601,x96602),f77(x96601)),x96603)),x96604))) % 166.52/166.35 [9689]~E(f329(f329(f82(a910),x96891),x96894),f329(f329(f82(a910),x96893),x96892))+P1(f329(f329(f331(f917(f917(a910,a910),f917(a910,a910))),f329(f329(f257(f917(a910,a910),f917(a910,a910)),f329(f329(f257(a910,a910),x96891),x96892)),f329(f329(f257(a910,a910),x96893),x96894))),a113)) % 166.52/166.35 [9690]~P1(f329(f329(f240(a910),x96901),x96903))+P1(f329(f329(f331(f917(f917(a910,a910),f917(a910,a910))),f329(f329(f257(f917(a910,a910),f917(a910,a910)),f329(f329(f257(a910,a910),x96901),x96902)),f329(f329(f257(a910,a910),x96903),x96904))),a34)) % 166.52/166.35 [9691]~P1(f329(f329(f240(a910),x96911),x96913))+P1(f329(f329(f331(f917(f917(a910,a910),f917(a910,a910))),f329(f329(f257(f917(a910,a910),f917(a910,a910)),f329(f329(f257(a910,a910),x96911),x96912)),f329(f329(f257(a910,a910),x96913),x96914))),a72)) % 166.52/166.35 [9840]E(f329(f329(f82(a910),x98401),x98402),f329(f329(f82(a910),x98403),x98404))+~P1(f329(f329(f331(f917(f917(a910,a910),f917(a910,a910))),f329(f329(f257(f917(a910,a910),f917(a910,a910)),f329(f329(f257(a910,a910),x98401),x98404)),f329(f329(f257(a910,a910),x98403),x98402))),a113)) % 166.52/166.35 [9869]E(f329(f329(f167(x98691),f329(f329(f141(x98691),f329(f192(f911(x98691)),f180(x98691,x98692,x98693))),x98693)),x98694),f329(f329(f167(x98691),x98693),f329(f329(f82(a910),x98694),f329(f192(f911(x98691)),f180(x98691,x98692,x98693)))))+~P1(f329(f329(f240(a910),x98694),f329(f192(f911(x98691)),f329(f329(f141(x98691),f329(f192(f911(x98691)),f180(x98691,x98692,x98693))),x98693)))) % 166.52/166.35 [9886]~P1(f329(f329(f331(x98862),x98864),f329(f329(f40(x98861,f918(x98862,a905)),f247(f918(x98861,a905))),x98863)))+P1(f329(f329(f329(f40(x98861,f918(x98862,a905)),f247(f918(x98861,a905))),f329(f329(f8(f918(x98862,a905),f918(x98862,a905),x98861),f329(f7(x98862,f918(x98862,a905),a905),f331(x98862))),x98863)),x98864)) % 166.52/166.35 [9887]~P1(f329(f329(f331(x98872),x98874),f329(f329(f41(x98871,f918(x98872,a905)),f247(f918(x98871,a905))),x98873)))+P1(f329(f329(f329(f41(x98871,f918(x98872,a905)),f247(f918(x98871,a905))),f329(f329(f8(f918(x98872,a905),f918(x98872,a905),x98871),f329(f7(x98872,f918(x98872,a905),a905),f331(x98872))),x98873)),x98874)) % 166.52/166.35 [9959]~P1(f329(f50(x99591,x99592),f329(f329(f257(a1,a1),x99594),x99593)))+P1(f329(f50(f329(f81(a1),x99591),x99592),f329(f329(f257(a1,a1),f329(f329(f329(f99(a1),f329(f329(a326,x99593),f2(a1))),f329(f81(a1),x99594)),f329(f329(f23(a1),f329(f81(a1),x99594)),f80(a1)))),f329(f329(f329(f99(a1),f329(f329(a326,x99593),f2(a1))),f2(a1)),f329(f329(f23(a1),x99592),x99593))))) % 166.52/166.35 [9969]P1(f329(f329(f331(x99691),x99692),f329(f329(f40(x99693,f918(x99691,a905)),f247(f918(x99693,a905))),x99694)))+~P1(f329(f329(f329(f40(x99693,f918(x99691,a905)),f247(f918(x99693,a905))),f329(f329(f8(f918(x99691,a905),f918(x99691,a905),x99693),f329(f7(x99691,f918(x99691,a905),a905),f331(x99691))),x99694)),x99692)) % 166.52/166.35 [9970]P1(f329(f329(f331(x99701),x99702),f329(f329(f41(x99703,f918(x99701,a905)),f247(f918(x99703,a905))),x99704)))+~P1(f329(f329(f329(f41(x99703,f918(x99701,a905)),f247(f918(x99703,a905))),f329(f329(f8(f918(x99701,a905),f918(x99701,a905),x99703),f329(f7(x99701,f918(x99701,a905),a905),f331(x99701))),x99704)),x99702)) % 166.52/166.35 [9982]E(f329(f329(f40(a910,f918(x99821,a905)),f247(f918(a910,a905))),x99822),f329(f329(f40(a910,f918(x99821,a905)),f247(f918(a910,a905))),x99823))+~E(f329(f329(f40(a910,f918(x99821,a905)),f329(f304(a910,f2(a910)),f458(x99822,x99824,x99823,x99821))),x99823),f329(f329(f40(a910,f918(x99821,a905)),f329(f304(a910,f2(a910)),f329(f329(f82(a910),f458(x99822,x99824,x99823,x99821)),x99824))),x99822)) % 166.52/166.35 [10313]~P1(f329(f329(f239(f918(f917(x103131,x103132),a905)),x103133),x103134))+P1(f329(f329(f239(f918(x103131,f918(x103132,a905))),f329(f329(f7(x103131,f918(f917(x103131,x103132),a905),f918(x103132,a905)),f329(f329(f8(f918(x103132,f918(f918(f917(x103131,x103132),a905),a905)),f918(f918(f917(x103131,x103132),a905),f918(x103132,a905)),x103131),f7(x103132,f918(f917(x103131,x103132),a905),a905)),f329(f329(f8(f918(x103132,f917(x103131,x103132)),f918(x103132,f918(f918(f917(x103131,x103132),a905),a905)),x103131),f329(f8(f917(x103131,x103132),f918(f918(f917(x103131,x103132),a905),a905),x103132),f331(f917(x103131,x103132)))),f257(x103131,x103132)))),x103133)),f329(f329(f7(x103131,f918(f917(x103131,x103132),a905),f918(x103132,a905)),f329(f329(f8(f918(x103132,f918(f918(f917(x103131,x103132),a905),a905)),f918(f918(f917(x103131,x103132),a905),f918(x103132,a905)),x103131),f7(x103132,f918(f917(x103131,x103132),a905),a905)),f329(f329(f8(f918(x103132,f917(x103131,x103132)),f918(x103132,f918(f918(f917(x103131,x103132),a905),a905)),x103131),f329(f8(f917(x103131,x103132),f918(f918(f917(x103131,x103132),a905),a905),x103132),f331(f917(x103131,x103132)))),f257(x103131,x103132)))),x103134))) % 166.52/166.35 [10331]P1(f329(f329(f239(f918(f917(x103311,x103312),a905)),x103313),x103314))+~P1(f329(f329(f239(f918(x103311,f918(x103312,a905))),f329(f329(f7(x103311,f918(f917(x103311,x103312),a905),f918(x103312,a905)),f329(f329(f8(f918(x103312,f918(f918(f917(x103311,x103312),a905),a905)),f918(f918(f917(x103311,x103312),a905),f918(x103312,a905)),x103311),f7(x103312,f918(f917(x103311,x103312),a905),a905)),f329(f329(f8(f918(x103312,f917(x103311,x103312)),f918(x103312,f918(f918(f917(x103311,x103312),a905),a905)),x103311),f329(f8(f917(x103311,x103312),f918(f918(f917(x103311,x103312),a905),a905),x103312),f331(f917(x103311,x103312)))),f257(x103311,x103312)))),x103313)),f329(f329(f7(x103311,f918(f917(x103311,x103312),a905),f918(x103312,a905)),f329(f329(f8(f918(x103312,f918(f918(f917(x103311,x103312),a905),a905)),f918(f918(f917(x103311,x103312),a905),f918(x103312,a905)),x103311),f7(x103312,f918(f917(x103311,x103312),a905),a905)),f329(f329(f8(f918(x103312,f917(x103311,x103312)),f918(x103312,f918(f918(f917(x103311,x103312),a905),a905)),x103311),f329(f8(f917(x103311,x103312),f918(f918(f917(x103311,x103312),a905),a905),x103312),f331(f917(x103311,x103312)))),f257(x103311,x103312)))),x103314))) % 166.52/166.35 [9392]~P1(f329(f329(f331(f917(x93921,x93921)),x93922),f309(x93921,x93924)))+P1(f329(f329(f331(f917(x93921,x93921)),x93922),f309(x93921,f329(f329(f115(f918(f917(x93921,x93921),a905)),x93923),x93924)))) % 166.52/166.35 [9393]~P1(f329(f329(f331(f917(x93931,x93931)),x93932),f309(x93931,x93933)))+P1(f329(f329(f331(f917(x93931,x93931)),x93932),f309(x93931,f329(f329(f115(f918(f917(x93931,x93931),a905)),x93933),x93934)))) % 166.52/166.35 [10067]~P1(f329(f329(f239(a910),f329(f329(f82(a910),x100671),x100674)),f329(f329(f82(a910),x100673),x100672)))+P1(f329(f329(f239(a1),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x100671),x100672)),f191(f918(f917(a910,a910),a905)))))),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x100673),x100674)),f191(f918(f917(a910,a910),a905))))))) % 166.52/166.35 [10068]~P1(f329(f329(f240(a910),f329(f329(f82(a910),x100681),x100684)),f329(f329(f82(a910),x100683),x100682)))+P1(f329(f329(f240(a1),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x100681),x100682)),f191(f918(f917(a910,a910),a905)))))),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x100683),x100684)),f191(f918(f917(a910,a910),a905))))))) % 166.52/166.35 [10144]P1(f329(f329(f239(a910),f329(f329(f82(a910),x101441),x101442)),f329(f329(f82(a910),x101443),x101444)))+~P1(f329(f329(f239(a1),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x101441),x101444)),f191(f918(f917(a910,a910),a905)))))),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x101443),x101442)),f191(f918(f917(a910,a910),a905))))))) % 166.52/166.35 [10145]P1(f329(f329(f240(a910),f329(f329(f82(a910),x101451),x101452)),f329(f329(f82(a910),x101453),x101454)))+~P1(f329(f329(f240(a1),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x101451),x101454)),f191(f918(f917(a910,a910),a905)))))),f329(a91,f329(f288(f917(a910,a910),f917(a910,a910),a113),f329(f329(f311(f917(a910,a910)),f329(f329(f257(a910,a910),x101453),x101452)),f191(f918(f917(a910,a910),a905))))))) % 166.52/166.35 [10186]P1(f329(f329(f239(f918(x101861,a905)),f329(f329(f40(a910,f918(x101861,a905)),f247(f918(a910,a905))),x101862)),f329(f329(f40(a910,f918(x101861,a905)),f247(f918(a910,a905))),x101863)))+~P1(f329(f329(f239(f918(x101861,a905)),f329(f329(f40(a910,f918(x101861,a905)),f329(f304(a910,f2(a910)),f440(x101863,x101864,x101862,x101861))),x101862)),f329(f329(f40(a910,f918(x101861,a905)),f329(f304(a910,f2(a910)),f329(f329(f82(a910),f440(x101863,x101864,x101862,x101861)),x101864))),x101863))) % 166.52/166.35 [10247]P1(f329(f329(f239(a104),x102474),f2(a104)))+E(f329(f329(f264(f917(a104,a104),f917(x102471,f918(a913,a325)),f917(a104,a104),f917(f918(a104,f918(a905,f914(f912(x102471)))),f917(a104,a104))),f329(x102472,x102473)),f329(f329(f8(f918(f918(a104,f918(a905,f914(f912(x102471)))),f918(f917(a104,a104),f917(f918(a104,f918(a905,f914(f912(x102471)))),f917(a104,a104)))),f918(f917(a104,a104),f917(f918(a104,f918(a905,f914(f912(x102471)))),f917(a104,a104))),f917(x102471,f918(a913,a325))),f329(f264(f917(a104,a104),f918(a104,f918(a905,f914(f912(x102471)))),f917(a104,a104),f917(f918(a104,f918(a905,f914(f912(x102471)))),f917(a104,a104))),f280(x102471,x102472,f329(f329(f23(a104),x102474),f80(a104)),x102473))),f329(f329(f8(f918(f918(a104,f918(a905,f914(f912(x102471)))),f918(a104,f918(a905,f914(f912(x102471))))),f918(f918(a104,f918(a905,f914(f912(x102471)))),f918(f917(a104,a104),f917(f918(a104,f918(a905,f914(f912(x102471)))),f917(a104,a104)))),f917(x102471,f918(a913,a325))),f329(f8(f918(a104,f918(a905,f914(f912(x102471)))),f918(f917(a104,a104),f917(f918(a104,f918(a905,f914(f912(x102471)))),f917(a104,a104))),f918(a104,f918(a905,f914(f912(x102471))))),f257(f918(a104,f918(a905,f914(f912(x102471)))),f917(a104,a104)))),f329(f329(f8(f918(a104,f918(a905,f914(f912(x102471)))),f918(f918(a104,f918(a905,f914(f912(x102471)))),f918(a104,f918(a905,f914(f912(x102471))))),f917(x102471,f918(a913,a325))),f45(x102471)),f329(f329(f8(x102471,f918(a104,f918(a905,f914(f912(x102471)))),f917(x102471,f918(a913,a325))),f43(x102471)),f256(x102471,f918(a913,a325))))))),f280(x102471,x102472,x102474,x102473)) % 166.52/166.35 [10303]~P1(f329(f329(f331(x103032),x103034),f329(f287(x103031,x103032),x103033)))+P1(f329(f255(x103031,x103032,f329(f329(f7(x103031,f918(f917(x103031,x103032),a905),f918(x103032,a905)),f329(f329(f8(f918(x103032,f918(f918(f917(x103031,x103032),a905),a905)),f918(f918(f917(x103031,x103032),a905),f918(x103032,a905)),x103031),f7(x103032,f918(f917(x103031,x103032),a905),a905)),f329(f329(f8(f918(x103032,f917(x103031,x103032)),f918(x103032,f918(f918(f917(x103031,x103032),a905),a905)),x103031),f329(f8(f917(x103031,x103032),f918(f918(f917(x103031,x103032),a905),a905),x103032),f331(f917(x103031,x103032)))),f257(x103031,x103032)))),x103033)),x103034)) % 166.52/166.35 [10304]~P1(f329(f329(f331(x103041),x103044),f329(f269(x103041,x103042),x103043)))+P1(f329(f254(x103041,x103042,f329(f329(f7(x103041,f918(f917(x103041,x103042),a905),f918(x103042,a905)),f329(f329(f8(f918(x103042,f918(f918(f917(x103041,x103042),a905),a905)),f918(f918(f917(x103041,x103042),a905),f918(x103042,a905)),x103041),f7(x103042,f918(f917(x103041,x103042),a905),a905)),f329(f329(f8(f918(x103042,f917(x103041,x103042)),f918(x103042,f918(f918(f917(x103041,x103042),a905),a905)),x103041),f329(f8(f917(x103041,x103042),f918(f918(f917(x103041,x103042),a905),a905),x103042),f331(f917(x103041,x103042)))),f257(x103041,x103042)))),x103043)),x103044)) % 166.52/166.35 [10316]P1(f329(f329(f331(x103161),x103162),f329(f287(x103163,x103161),x103164)))+~P1(f329(f255(x103163,x103161,f329(f329(f7(x103163,f918(f917(x103163,x103161),a905),f918(x103161,a905)),f329(f329(f8(f918(x103161,f918(f918(f917(x103163,x103161),a905),a905)),f918(f918(f917(x103163,x103161),a905),f918(x103161,a905)),x103163),f7(x103161,f918(f917(x103163,x103161),a905),a905)),f329(f329(f8(f918(x103161,f917(x103163,x103161)),f918(x103161,f918(f918(f917(x103163,x103161),a905),a905)),x103163),f329(f8(f917(x103163,x103161),f918(f918(f917(x103163,x103161),a905),a905),x103161),f331(f917(x103163,x103161)))),f257(x103163,x103161)))),x103164)),x103162)) % 166.52/166.35 [10317]P1(f329(f329(f331(x103171),x103172),f329(f269(x103171,x103173),x103174)))+~P1(f329(f254(x103171,x103173,f329(f329(f7(x103171,f918(f917(x103171,x103173),a905),f918(x103173,a905)),f329(f329(f8(f918(x103173,f918(f918(f917(x103171,x103173),a905),a905)),f918(f918(f917(x103171,x103173),a905),f918(x103173,a905)),x103171),f7(x103173,f918(f917(x103171,x103173),a905),a905)),f329(f329(f8(f918(x103173,f917(x103171,x103173)),f918(x103173,f918(f918(f917(x103171,x103173),a905),a905)),x103171),f329(f8(f917(x103171,x103173),f918(f918(f917(x103171,x103173),a905),a905),x103173),f331(f917(x103171,x103173)))),f257(x103171,x103173)))),x103174)),x103172)) % 166.52/166.35 [9991]P1(f329(f163(x99911,x99912),x99913))+~P1(f329(f163(x99911,f329(f329(f18(x99911,a905,a905),f329(f329(f8(a905,f918(a905,a905),x99911),a327),x99914)),x99912)),x99913)) % 166.52/166.35 [9992]P1(f329(f163(x99921,x99922),x99923))+~P1(f329(f163(x99921,f329(f329(f18(x99921,a905,a905),f329(f329(f8(a905,f918(a905,a905),x99921),a327),x99922)),x99924)),x99923)) % 166.52/166.35 [10069]~P116(x100691)+E(f329(f329(f83(x100691),f329(f329(f82(x100691),f80(x100691)),f80(x100691))),f329(f329(f6(a910,x100691),f329(f329(f8(x100691,x100691,a910),f329(f82(x100691),x100692)),f329(f329(f7(a910,x100691,x100691),f329(f329(f8(x100691,f918(x100691,x100691),a910),f83(x100691)),f105(x100691))),x100693))),f329(f285(a910),x100694))),f329(f329(f83(x100691),f329(f105(x100691),x100694)),f329(f329(f82(x100691),x100692),f329(f329(f82(x100691),x100692),f329(f329(f83(x100691),f329(f105(x100691),f329(f329(f23(a910),x100694),f80(a910)))),x100693))))) % 166.52/166.35 [10207]P1(f329(x102071,f546(x102072,x102073,x102074,x102071)))+P43(x102072,f329(f267(f917(x102072,x102072)),f329(f262(x102072,x102072,a905),f329(f329(f8(f918(x102072,a905),f918(x102072,a905),x102072),f329(f18(x102072,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102072),a327),x102071))),f329(f329(f7(x102072,f918(x102072,x102072),f918(x102072,a905)),f329(f329(f8(f918(x102072,a905),f918(f918(x102072,x102072),f918(x102072,a905)),x102072),f8(x102072,a905,x102072)),a326)),x102073))))) % 166.52/166.35 [10225]~P1(f329(f329(f240(a910),f329(x102254,f329(x102253,f546(x102251,x102253,x102254,x102252)))),f329(x102254,f546(x102251,x102253,x102254,x102252))))+P43(x102251,f329(f267(f917(x102251,x102251)),f329(f262(x102251,x102251,a905),f329(f329(f8(f918(x102251,a905),f918(x102251,a905),x102251),f329(f18(x102251,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102251),a327),x102252))),f329(f329(f7(x102251,f918(x102251,x102251),f918(x102251,a905)),f329(f329(f8(f918(x102251,a905),f918(f918(x102251,x102251),f918(x102251,a905)),x102251),f8(x102251,a905,x102251)),a326)),x102253))))) % 166.52/166.35 [10289]~P10(x102891)+E(f39(x102891,f329(f267(x102891),f329(f329(f8(f918(f918(x102892,x102891),a905),a905,x102891),f89(f918(x102892,x102891))),f329(f329(f8(f918(f918(x102892,x102891),a905),f918(f918(x102892,x102891),a905),x102891),f329(f18(f918(x102892,x102891),a905,a905),f329(f329(f8(a905,f918(a905,a905),f918(x102892,x102891)),a327),f329(f329(f7(f918(x102892,x102891),f918(f918(x102892,x102891),a905),a905),f331(f918(x102892,x102891))),x102893)))),f329(f329(f7(x102891,f918(f918(x102892,x102891),x102891),f918(f918(x102892,x102891),a905)),f329(f329(f8(f918(x102891,a905),f918(f918(f918(x102892,x102891),x102891),f918(f918(x102892,x102891),a905)),x102891),f8(x102891,a905,f918(x102892,x102891))),a326)),f329(f329(f7(f918(x102892,x102891),x102892,x102891),f5(f918(x102892,x102891))),x102894)))))),f329(f39(f918(x102892,x102891),x102893),x102894)) % 166.52/166.35 [10290]~P10(x102901)+E(f39(x102901,f329(f267(x102901),f329(f329(f8(f918(f918(x102902,x102901),a905),a905,x102901),f89(f918(x102902,x102901))),f329(f329(f8(f918(f918(x102902,x102901),a905),f918(f918(x102902,x102901),a905),x102901),f329(f18(f918(x102902,x102901),a905,a905),f329(f329(f8(a905,f918(a905,a905),f918(x102902,x102901)),a327),f329(f329(f7(f918(x102902,x102901),f918(f918(x102902,x102901),a905),a905),f331(f918(x102902,x102901))),x102903)))),f329(f329(f7(x102901,f918(f918(x102902,x102901),x102901),f918(f918(x102902,x102901),a905)),f329(f329(f8(f918(x102901,a905),f918(f918(f918(x102902,x102901),x102901),f918(f918(x102902,x102901),a905)),x102901),f8(x102901,a905,f918(x102902,x102901))),a326)),f329(f329(f7(f918(x102902,x102901),x102902,x102901),f5(f918(x102902,x102901))),x102904)))))),f329(f39(f918(x102902,x102901),x102903),x102904)) % 166.52/166.35 [10291]~P10(x102911)+E(f38(x102911,f329(f267(x102911),f329(f329(f8(f918(f918(x102912,x102911),a905),a905,x102911),f89(f918(x102912,x102911))),f329(f329(f8(f918(f918(x102912,x102911),a905),f918(f918(x102912,x102911),a905),x102911),f329(f18(f918(x102912,x102911),a905,a905),f329(f329(f8(a905,f918(a905,a905),f918(x102912,x102911)),a327),f329(f329(f7(f918(x102912,x102911),f918(f918(x102912,x102911),a905),a905),f331(f918(x102912,x102911))),x102913)))),f329(f329(f7(x102911,f918(f918(x102912,x102911),x102911),f918(f918(x102912,x102911),a905)),f329(f329(f8(f918(x102911,a905),f918(f918(f918(x102912,x102911),x102911),f918(f918(x102912,x102911),a905)),x102911),f8(x102911,a905,f918(x102912,x102911))),a326)),f329(f329(f7(f918(x102912,x102911),x102912,x102911),f5(f918(x102912,x102911))),x102914)))))),f329(f38(f918(x102912,x102911),x102913),x102914)) % 166.52/166.35 [10292]~P10(x102921)+E(f38(x102921,f329(f267(x102921),f329(f329(f8(f918(f918(x102922,x102921),a905),a905,x102921),f89(f918(x102922,x102921))),f329(f329(f8(f918(f918(x102922,x102921),a905),f918(f918(x102922,x102921),a905),x102921),f329(f18(f918(x102922,x102921),a905,a905),f329(f329(f8(a905,f918(a905,a905),f918(x102922,x102921)),a327),f329(f329(f7(f918(x102922,x102921),f918(f918(x102922,x102921),a905),a905),f331(f918(x102922,x102921))),x102923)))),f329(f329(f7(x102921,f918(f918(x102922,x102921),x102921),f918(f918(x102922,x102921),a905)),f329(f329(f8(f918(x102921,a905),f918(f918(f918(x102922,x102921),x102921),f918(f918(x102922,x102921),a905)),x102921),f8(x102921,a905,f918(x102922,x102921))),a326)),f329(f329(f7(f918(x102922,x102921),x102922,x102921),f5(f918(x102922,x102921))),x102924)))))),f329(f38(f918(x102922,x102921),x102923),x102924)) % 166.52/166.35 [10347]~P1(f329(f329(f331(f917(x103471,x103471)),f329(f329(f257(x103471,x103471),x103473),x103474)),f329(f329(f115(f918(f917(x103471,x103471),a905)),x103472),f309(x103471,f191(f918(f917(x103471,x103471),a905))))))+P1(f329(f329(f329(f329(f115(f918(x103471,f918(x103471,a905))),f329(f329(f7(x103471,f918(f917(x103471,x103471),a905),f918(x103471,a905)),f329(f329(f8(f918(x103471,f918(f918(f917(x103471,x103471),a905),a905)),f918(f918(f917(x103471,x103471),a905),f918(x103471,a905)),x103471),f7(x103471,f918(f917(x103471,x103471),a905),a905)),f329(f329(f8(f918(x103471,f917(x103471,x103471)),f918(x103471,f918(f918(f917(x103471,x103471),a905),a905)),x103471),f329(f8(f917(x103471,x103471),f918(f918(f917(x103471,x103471),a905),a905),x103471),f331(f917(x103471,x103471)))),f257(x103471,x103471)))),x103472)),a326),x103473),x103474)) % 166.52/166.35 [10358]P1(f329(f329(f331(f917(x103581,x103581)),f329(f329(f257(x103581,x103581),x103582),x103583)),f329(f329(f115(f918(f917(x103581,x103581),a905)),x103584),f309(x103581,f191(f918(f917(x103581,x103581),a905))))))+~P1(f329(f329(f329(f329(f115(f918(x103581,f918(x103581,a905))),f329(f329(f7(x103581,f918(f917(x103581,x103581),a905),f918(x103581,a905)),f329(f329(f8(f918(x103581,f918(f918(f917(x103581,x103581),a905),a905)),f918(f918(f917(x103581,x103581),a905),f918(x103581,a905)),x103581),f7(x103581,f918(f917(x103581,x103581),a905),a905)),f329(f329(f8(f918(x103581,f917(x103581,x103581)),f918(x103581,f918(f918(f917(x103581,x103581),a905),a905)),x103581),f329(f8(f917(x103581,x103581),f918(f918(f917(x103581,x103581),a905),a905),x103581),f331(f917(x103581,x103581)))),f257(x103581,x103581)))),x103584)),a326),x103582),x103583)) % 166.52/166.35 [10300]E(f329(f329(f154(f911(x103001)),f329(f329(f154(x103001),x103002),f329(f145(f911(x103001),f911(x103001),f137(x103001),f118(x103001)),f329(f329(f157(f911(x103001),f911(x103001)),f159(f911(x103001),x103001,f118(x103001),f329(f329(f8(f911(x103001),f918(f911(x103001),f911(x103001)),x103001),f16(f911(x103001),f911(x103001))),f329(f329(f7(x103001,f911(x103001),f911(x103001)),f154(x103001)),f118(x103001))))),x103003)))),f182(x103001,f329(f329(f154(f911(x103001)),x103004),f329(f145(f911(f911(x103001)),f911(f911(x103001)),f137(f911(x103001)),f118(f911(x103001))),f329(f329(f157(f911(x103001),f911(f911(x103001))),f159(f911(f911(x103001)),x103001,f118(f911(x103001)),f329(f16(f918(f911(x103001),f911(f911(x103001))),x103001),f329(f329(f7(f911(x103001),f911(f911(x103001)),f911(f911(x103001))),f154(f911(x103001))),f118(f911(x103001)))))),x103003))))),f182(x103001,f329(f329(f154(f911(x103001)),f329(f329(f154(x103001),x103002),x103004)),x103003)))+~P1(f329(f317(f911(f911(x103001)),f183(x103001)),f329(f329(f154(f911(x103001)),f329(f329(f154(x103001),x103002),x103004)),x103003))) % 166.52/166.35 [10346]~P1(f329(f62(x103462),f329(f267(x103462),x103464)))+P1(f329(f62(x103461),f329(f267(x103461),f329(f329(f8(f918(x103462,a905),a905,x103461),f89(x103462)),f329(f329(f7(x103461,f918(x103462,a905),f918(x103462,a905)),f329(f329(f8(f918(x103462,f918(a905,a905)),f918(f918(x103462,a905),f918(x103462,a905)),x103461),f18(x103462,a905,a905)),f329(f329(f8(f918(x103462,a905),f918(x103462,f918(a905,a905)),x103461),f329(f8(a905,f918(a905,a905),x103462),a327)),f329(f329(f7(x103461,f918(x103462,x103461),f918(x103462,a905)),f329(f329(f8(f918(x103461,a905),f918(f918(x103462,x103461),f918(x103462,a905)),x103461),f8(x103461,a905,x103462)),a326)),x103463)))),x103464))))) % 166.52/166.35 [5373]E(x53731,x53732)+~E(f172(x53733,x53731,x53734),f172(x53733,x53732,x53735)) % 166.52/166.35 [5374]E(x53741,x53742)+~E(f130(x53743,x53744,x53741),f130(x53743,x53745,x53742)) % 166.52/166.35 [5375]E(x53751,x53752)+~E(f130(x53753,x53751,x53754),f130(x53753,x53752,x53755)) % 166.52/166.35 [8211]~E(f329(x82113,x82114),x82115)+E(f76(x82111,x82112,x82113,x82114,x82115),x82113) % 166.52/166.35 [8750]~E(f76(x87504,x87505,x87501,x87502,x87503),x87501)+E(f329(x87501,x87502),x87503) % 166.52/166.35 [9254]~P48(f32(x92541,x92545),x92542,x92543,x92544)+P48(x92541,x92542,x92543,f523(x92544,x92543,x92542,x92545,x92541)) % 166.52/166.35 [9255]~P48(f32(x92551,x92555),x92552,x92553,x92554)+P48(x92551,x92552,x92553,f543(x92554,x92553,x92552,x92555,x92551)) % 166.52/166.35 [9256]~P48(f32(x92565,x92561),x92564,x92563,x92562)+P48(x92561,f523(x92562,x92563,x92564,x92561,x92565),x92563,x92562) % 166.52/166.35 [9257]~P48(f32(x92575,x92571),x92574,x92573,x92572)+P48(x92571,f543(x92572,x92573,x92574,x92571,x92575),x92573,x92572) % 166.52/166.35 [9363]~P31(x93632,x93631,x93634,x93633,x93635)+P31(x93631,x93632,f94(x93632,x93631,x93633,x93634),x93635,x93633) % 166.52/166.35 [6174]P1(f329(f255(x61741,x61742,x61743),x61744))+~P1(f329(f329(x61743,x61745),x61744)) % 166.52/166.35 [6176]P1(f329(f254(x61761,x61762,x61763),x61764))+~P1(f329(f329(x61763,x61764),x61765)) % 166.52/166.35 [6649]~E(x66495,f2(a104))+E(f329(f200(x66491,x66492,x66493,x66494),x66495),f128(x66492)) % 166.52/166.35 [6650]~E(x66505,f2(a104))+E(f329(f202(x66501,x66502,x66503,x66504),x66505),f120(x66502)) % 166.52/166.35 [6787]~E(x67873,f2(a104))+E(f329(f276(x67871,x67872,x67873,x67874),x67875),f329(f257(x67871,x67872),x67875)) % 166.52/166.35 [7843]~P25(x78434,x78431,x78432,x78435)+E(f329(f74(x78431,x78431,x78431,f329(x78432,x78433)),f329(x78432,x78433)),f329(x78432,x78433)) % 166.52/166.35 [8251]~P21(x82515,x82511,x82512)+E(f329(f74(x82511,x82511,x82511,f329(x82512,x82513)),f329(x82512,x82514)),f329(f74(x82511,x82511,x82511,f329(x82512,x82514)),f329(x82512,x82513))) % 166.52/166.35 [8579]P1(f329(f329(f331(f917(x85791,x85791)),f329(f329(f257(x85791,x85791),x85792),x85793)),f323(x85791,x85794,x85795)))+~P1(f329(f329(f240(a910),f329(x85794,x85792)),f329(x85794,x85793))) % 166.52/166.35 [8681]~P1(f329(f329(f331(x86814),x86813),f301(x86814,x86811,x86812,x86815)))+P1(f329(f329(x86811,x86812),x86813)) % 166.52/166.35 [8682]~P1(f329(f329(f331(x86824),x86823),f298(x86824,x86821,x86822,x86825)))+P1(f329(f329(x86821,x86822),x86823)) % 166.52/166.35 [8683]~P1(f329(f329(f331(x86834),x86832),f301(x86834,x86831,x86835,x86833)))+P1(f329(f329(x86831,x86832),x86833)) % 166.52/166.35 [8684]~P1(f329(f329(f331(x86844),x86842),f298(x86844,x86841,x86845,x86843)))+P1(f329(f329(x86841,x86842),x86843)) % 166.52/166.35 [8823]~P64(x88232,x88231,x88235,x88233,x88234)+E(f329(f312(x88231,x88232,x88233),x88234),f247(f918(x88232,a905))) % 166.52/166.35 [9274]~P40(x92741,x92742,x92743,x92744,x92745)+P40(x92741,x92742,x92743,f329(f171(x92741),x92744),f329(f171(x92742),x92745)) % 166.52/166.35 [9276]~P40(x92761,x92762,x92763,f329(f171(x92761),x92764),x92765)+P40(x92761,x92762,x92763,x92764,f329(f171(x92762),x92765)) % 166.52/166.35 [9277]~P40(x92771,x92772,x92773,x92774,f329(f171(x92772),x92775))+P40(x92771,x92772,x92773,f329(f171(x92771),x92774),x92775) % 166.52/166.35 [9283]P40(x92831,x92832,x92833,x92834,x92835)+~P40(x92831,x92832,x92833,f329(f171(x92831),x92834),f329(f171(x92832),x92835)) % 166.52/166.35 [9679]P1(f329(f329(f331(f917(f911(x96791),f911(x96791))),f329(f329(f257(f911(x96791),f911(x96791)),f329(f329(f154(x96791),x96792),x96793)),f329(f329(f154(x96791),x96792),x96794))),f160(x96791,x96795)))+~P1(f329(f329(f331(f917(f911(x96791),f911(x96791))),f329(f329(f257(f911(x96791),f911(x96791)),x96793),x96794)),f160(x96791,x96795))) % 166.52/166.35 [9680]P1(f329(f329(f331(f917(f911(x96801),f911(x96801))),f329(f329(f257(f911(x96801),f911(x96801)),f329(f329(f137(x96801),x96802),x96803)),f329(f329(f137(x96801),x96802),x96804))),f150(x96801,x96805)))+~P1(f329(f329(f331(f917(f911(x96801),f911(x96801))),f329(f329(f257(f911(x96801),f911(x96801)),x96803),x96804)),f150(x96801,x96805))) % 166.52/166.35 [9876]E(f329(f329(f154(x98761),f677(x98762,x98763,x98764,x98765,x98761)),f680(x98762,x98763,x98764,x98765,x98761)),x98765)+~P1(f329(f329(f331(f917(f911(x98761),f911(x98761))),f329(f329(f257(f911(x98761),f911(x98761)),x98765),f329(f329(f154(x98761),x98764),x98763))),f161(x98761,x98762))) % 166.52/166.35 [9898]E(f329(f329(f154(x98981),f678(x98982,x98983,x98984,x98985,x98981)),f679(x98982,x98983,x98984,x98985,x98981)),x98983)+~P1(f329(f329(f331(f917(f911(x98981),f911(x98981))),f329(f329(f257(f911(x98981),f911(x98981)),f329(f329(f154(x98981),x98985),x98984)),x98983)),f161(x98981,x98982))) % 166.52/166.35 [10043]~P1(f329(f329(f331(f917(f911(x100431),f911(x100431))),f329(f329(f257(f911(x100431),f911(x100431)),f329(f329(f154(x100431),x100435),x100432)),x100434)),f161(x100431,x100433)))+P1(f329(f329(f331(f917(f911(x100431),f911(x100431))),f329(f329(f257(f911(x100431),f911(x100431)),x100432),f679(x100433,x100434,x100432,x100435,x100431))),f161(x100431,x100433))) % 166.52/166.35 [10112]~P1(f329(f329(f331(f917(f911(x101121),f911(x101121))),f329(f329(f257(f911(x101121),f911(x101121)),x101125),f329(f329(f154(x101121),x101124),x101123))),f161(x101121,x101122)))+P1(f329(f329(f331(f917(f911(x101121),f911(x101121))),f329(f329(f257(f911(x101121),f911(x101121)),f680(x101122,x101123,x101124,x101125,x101121)),x101123)),f161(x101121,x101122))) % 166.52/166.35 [10294]P1(f329(f329(f331(f917(x102941,x102941)),f329(f329(f257(x102941,x102941),f329(x102942,f329(f329(f82(a910),x102943),x102944))),f329(x102942,x102943))),f309(x102941,x102945)))+~P1(f329(f329(f331(f917(x102941,x102941)),f329(f329(f257(x102941,x102941),f329(x102942,f329(a117,f597(x102944,x102943,x102945,x102942,x102941)))),f329(x102942,f597(x102944,x102943,x102945,x102942,x102941)))),f309(x102941,x102945))) % 166.52/166.35 [5341]E(x53411,x53412)+~E(f329(f329(f154(x53413),x53414),x53411),f329(f329(f154(x53413),x53415),x53412)) % 166.52/166.35 [5342]E(x53421,x53422)+~E(f329(f329(f154(x53423),x53421),x53424),f329(f329(f154(x53423),x53422),x53425)) % 166.52/166.35 [5390]P1(f329(x53901,x53902))+~E(f329(f139(x53903,x53901),x53904),f329(f329(f154(x53903),x53902),x53905)) % 166.52/166.35 [5391]P1(f329(x53911,x53912))+~E(f329(f329(f154(x53913),x53912),x53914),f329(f139(x53913,x53911),x53915)) % 166.52/166.35 [5546]~E(f329(f329(f141(x55461),x55463),x55462),f329(f329(f154(x55461),x55464),x55465))+E(f329(f329(f167(x55461),x55462),x55463),x55464) % 166.52/166.35 [5684]~P19(x56844,x56845,x56841)+E(f329(f329(x56841,x56842),f329(f329(x56841,x56842),x56843)),f329(f329(x56841,x56842),x56843)) % 166.52/166.35 [6233]~E(x62334,f2(a104))+E(f329(f329(f122(x62331,x62332,x62333),x62334),x62335),f329(f329(f257(f911(x62332),x62331),f118(x62332)),x62335)) % 166.52/166.35 [6302]~P112(x63022)+~E(f329(f329(f151(x63021,x63022,x63023),x63024),x63025),f118(x63021)) % 166.52/166.35 [6688]E(x66881,x66882)+~E(f329(f329(f137(x66883),x66884),f329(f329(f154(x66883),x66881),f118(x66883))),f329(f329(f137(x66883),x66885),f329(f329(f154(x66883),x66882),f118(x66883)))) % 166.52/166.35 [6689]E(x66891,x66892)+~E(f329(f329(f137(x66893),x66891),f329(f329(f154(x66893),x66894),f118(x66893))),f329(f329(f137(x66893),x66892),f329(f329(f154(x66893),x66895),f118(x66893)))) % 166.52/166.35 [7000]E(f329(f329(f311(x70001),f329(x70002,x70003)),f329(f312(x70004,x70001,x70002),x70005)),f329(f312(x70004,x70001,x70002),x70005))+~P1(f329(f329(f331(x70004),x70003),x70005)) % 166.52/166.35 [7007]~P1(f329(x70074,f329(x70073,x70075)))+P1(f329(f329(f313(x70071,x70072,x70073),x70074),x70075)) % 166.52/166.35 [7010]~P1(f329(f329(x70103,x70105),x70104))+P1(f329(f329(f248(x70101,x70102,x70103),x70104),x70105)) % 166.52/166.35 [7105]~E(f329(f312(x71051,x71052,x71053),x71054),x71055)+E(f329(f312(f918(x71051,a905),f918(x71052,a905),f312(x71051,x71052,x71053)),f329(f310(x71051),x71054)),f329(f310(x71052),x71055)) % 166.52/166.35 [7449]P30(x74491,x74492,x74493,x74494)+~P30(x74491,x74492,x74493,f329(f329(f311(x74491),x74495),x74494)) % 166.52/166.35 [7514]P1(f329(x75141,x75142))+~P1(f329(f329(f95(x75143,x75144,x75141),x75145),x75142)) % 166.52/166.35 [7561]~P1(f329(f329(f331(x75614),x75613),x75615))+P1(f329(f329(f331(x75611),f329(x75612,x75613)),f329(f312(x75614,x75611,x75612),x75615))) % 166.52/166.35 [7583]~P112(x75832)+E(f153(x75831,x75832,x75833,f329(f139(x75831,x75834),x75835)),f329(f139(x75831,x75834),f153(x75831,x75832,x75833,x75835))) % 166.52/166.35 [7614]P1(f329(x76141,f329(x76142,x76143)))+~P1(f329(f329(f313(x76144,x76145,x76142),x76141),x76143)) % 166.52/166.35 [7617]P1(f329(f329(x76171,x76172),x76173))+~P1(f329(f329(f248(x76174,x76175,x76171),x76173),x76172)) % 166.52/166.35 [7618]P1(f329(f329(x76181,x76182),x76183))+~P1(f329(f329(f95(x76184,x76181,x76185),x76182),x76183)) % 166.52/166.35 [7679]~P1(f329(f329(f331(x76793),f329(x76794,x76792)),x76795))+P1(f329(f329(f331(x76791),x76792),f329(f313(x76791,x76793,x76794),x76795))) % 166.52/166.35 [8082]~P1(f329(f329(f331(x80825),x80823),f329(f313(x80825,x80821,x80822),x80824)))+P1(f329(f329(f331(x80821),f329(x80822,x80823)),x80824)) % 166.52/166.35 [8389]~P21(x83892,x83891,x83893)+E(f329(f145(x83891,x83892,f329(f7(x83892,x83891,x83891),x83893),x83894),f155(x83892,x83895)),f329(f329(f65(x83892,x83891,x83893),x83894),f329(f175(x83892),x83895))) % 166.52/166.35 [8411]E(f329(x84111,f397(x84112,x84111,x84113,x84114)),x84114)+~P1(f329(f329(f331(x84115),x84114),f329(f312(x84113,x84115,x84111),x84112))) % 166.52/166.35 [8412]E(f329(x84121,f533(x84122,x84121,x84123,x84124)),x84124)+~P1(f329(f329(f331(x84125),x84124),f329(f312(x84123,x84125,x84121),x84122))) % 166.52/166.35 [8727]~E(x87272,f329(f329(f154(x87271),x87274),x87275))+P1(f329(f329(f331(f917(f911(x87271),f911(x87271))),f329(f329(f257(f911(x87271),f911(x87271)),f118(x87271)),x87272)),f150(x87271,x87273))) % 166.52/166.35 [8770]E(f329(x87701,f329(f94(x87702,x87703,x87704,x87701),x87705)),x87705)+~P1(f329(f329(f331(x87703),x87705),f329(f312(x87702,x87703,x87701),x87704))) % 166.52/166.35 [8773]P30(x87731,x87732,f94(x87732,x87731,x87733,x87734),x87735)+~P1(f329(f329(f239(f918(x87731,a905)),x87735),f329(f312(x87732,x87731,x87734),x87733))) % 166.52/166.35 [8780]~P40(x87801,x87803,x87805,x87802,x87804)+E(f329(f192(f911(x87801)),x87802),f329(f192(f911(x87803)),x87804)) % 166.52/166.35 [8791]P1(f329(f329(f239(f918(x87911,a905)),f329(f329(f41(x87912,f918(x87911,a905)),x87913),x87914)),f329(x87914,x87915)))+~P1(f329(f329(f331(x87912),x87915),x87913)) % 166.52/166.35 [8839]~P64(x88391,x88392,x88393,x88395,x88394)+E(f329(f312(x88391,x88392,x88393),f247(f918(x88391,a905))),x88394) % 166.52/166.35 [9060]E(f329(f139(x90601,x90602),f765(x90603,x90604,x90605,x90602,x90601)),x90603)+~E(f329(f139(x90601,x90602),x90605),f329(f329(f154(x90601),x90604),x90603)) % 166.52/166.35 [9061]E(f329(f139(x90611,x90612),f770(x90613,x90612,x90614,x90615,x90611)),x90614)+~E(f329(f329(f154(x90611),x90615),x90614),f329(f139(x90611,x90612),x90613)) % 166.52/166.35 [9155]E(f329(f192(f911(x91551)),x91552),x91553)+~P1(f329(f329(f331(f917(f911(x91551),f911(x91551))),f329(f329(f257(f911(x91551),f911(x91551)),x91554),x91552)),f329(f146(x91551,x91555),x91553))) % 166.52/166.35 [9156]E(f329(f192(f911(x91561)),x91562),x91563)+~P1(f329(f329(f331(f917(f911(x91561),f911(x91561))),f329(f329(f257(f911(x91561),f911(x91561)),x91562),x91564)),f329(f146(x91561,x91565),x91563))) % 166.52/166.35 [9224]P1(f329(f329(f331(x92241),f397(x92242,x92243,x92241,x92244)),x92242))+~P1(f329(f329(f331(x92245),x92244),f329(f312(x92241,x92245,x92243),x92242))) % 166.52/166.35 [9225]P1(f329(f329(f331(x92251),f533(x92252,x92253,x92251,x92254)),x92252))+~P1(f329(f329(f331(x92255),x92254),f329(f312(x92251,x92255,x92253),x92252))) % 166.52/166.35 [9388]~P46(f918(x93883,a905),f918(x93881,a905),x93882)+P1(f329(f329(f239(f918(x93881,a905)),f329(x93882,f329(f329(f106(f918(x93883,a905)),x93884),x93885))),f329(f329(f106(f918(x93881,a905)),f329(x93882,x93884)),f329(x93882,x93885)))) % 166.52/166.35 [9390]E(f329(f312(x93901,x93902,x93903),f688(x93904,x93903,x93901,x93905,x93902)),x93905)+~P1(f329(f329(f239(f918(x93902,a905)),x93905),f329(f312(x93901,x93902,x93903),x93904))) % 166.52/166.35 [9697]P1(f329(f329(f331(f917(f911(x96971),f911(x96971))),f329(f329(f257(f911(x96971),f911(x96971)),f329(f329(f154(x96971),x96972),x96973)),f329(f329(f154(x96971),x96972),x96974))),f309(f911(x96971),f160(x96971,x96975))))+~P1(f329(f329(f331(f917(f911(x96971),f911(x96971))),f329(f329(f257(f911(x96971),f911(x96971)),x96973),x96974)),f309(f911(x96971),f160(x96971,x96975)))) % 166.52/166.35 [9728]~E(f329(x97283,f716(x97285,x97284,x97283,x97282,x97281)),f329(x97285,f716(x97285,x97284,x97283,x97282,x97281)))+E(f329(f329(f157(x97281,x97282),x97283),x97284),f329(f329(f157(x97281,x97282),x97285),x97284)) % 166.52/166.35 [9805]~E(f329(f139(x98051,x98055),x98054),f329(f329(f154(x98051),x98053),x98052))+E(f329(f329(f137(x98051),f766(x98052,x98053,x98054,x98055,x98051)),f329(f329(f154(x98051),x98053),f765(x98052,x98053,x98054,x98055,x98051))),x98054) % 166.52/166.35 [9806]~E(f329(f329(f154(x98061),x98065),x98064),f329(f139(x98061,x98063),x98062))+E(f329(f329(f137(x98061),f768(x98062,x98063,x98064,x98065,x98061)),f329(f329(f154(x98061),x98065),f770(x98062,x98063,x98064,x98065,x98061))),x98062) % 166.52/166.35 [9810]E(f329(f329(f157(x98101,x98102),x98103),x98104),f329(f329(f157(x98101,x98102),x98105),x98104))+P1(f329(f329(f331(x98101),f716(x98103,x98104,x98105,x98102,x98101)),f329(f175(x98101),x98104))) % 166.52/166.35 [9841]~P1(f329(f329(f331(x98415),x98414),f329(f288(x98411,x98415,x98413),x98412)))+P1(f329(f329(f331(x98411),f502(x98412,x98413,x98411,x98414,x98415)),x98412)) % 166.52/166.35 [9842]~P1(f329(f329(f331(x98425),x98424),f329(f288(x98421,x98425,x98423),x98422)))+P1(f329(f329(f331(x98421),f539(x98422,x98423,x98421,x98424,x98425)),x98422)) % 166.52/166.35 [9870]~P1(f329(f329(f239(f918(x98705,a905)),x98704),f329(f312(x98701,x98705,x98703),x98702)))+P1(f329(f329(f239(f918(x98701,a905)),f688(x98702,x98703,x98701,x98704,x98705)),x98702)) % 166.52/166.35 [10295]E(x102951,f2(a104))+E(f227(f917(f911(x102952),x102953),f917(x102952,x102953),f329(f329(f257(f911(x102952),x102953),f118(x102952)),x102954),f329(f262(x102952,x102953,f917(f911(x102952),x102953)),f329(f329(f7(x102952,f918(x102953,f917(f911(x102952),x102953)),f918(x102953,f917(f911(x102952),x102953))),f329(f329(f8(f918(f917(f911(x102952),x102953),f917(f911(x102952),x102953)),f918(f918(x102953,f917(f911(x102952),x102953)),f918(x102953,f917(f911(x102952),x102953))),x102952),f8(f917(f911(x102952),x102953),f917(f911(x102952),x102953),x102953)),f329(f329(f8(f918(f911(x102952),f918(x102953,f917(f911(x102952),x102953))),f918(f917(f911(x102952),x102953),f917(f911(x102952),x102953)),x102952),f262(f911(x102952),x102953,f917(f911(x102952),x102953))),f329(f329(f8(f918(f911(x102952),f911(x102952)),f918(f911(x102952),f918(x102953,f917(f911(x102952),x102953))),x102952),f329(f8(f911(x102952),f918(x102953,f917(f911(x102952),x102953)),f911(x102952)),f257(f911(x102952),x102953))),f154(x102952))))),f329(f122(x102953,x102952,x102955),f329(f329(f23(a104),x102951),f80(a104))))),f329(x102955,x102954)),f329(f329(f122(x102953,x102952,x102955),x102951),x102954)) % 166.52/166.35 [6112]E(x61121,x61122)+~E(f329(f261(x61123,x61124),f329(f329(f257(x61123,x61124),x61125),x61121)),x61122) % 166.52/166.35 [6113]E(x61131,x61132)+~E(f329(f256(x61133,x61134),f329(f329(f257(x61133,x61134),x61131),x61135)),x61132) % 166.52/166.35 [6376]~E(x63763,f329(f329(f137(x63761),x63764),f329(f329(f154(x63761),x63762),x63765)))+P1(f329(f329(f331(x63761),x63762),f329(f175(x63761),x63763))) % 166.52/166.35 [6773]E(f329(f312(x67731,x67732,f329(f16(x67732,x67731),x67733)),x67734),f329(f329(f311(x67732),x67733),f191(f918(x67732,a905))))+~P1(f329(f329(f331(x67731),x67735),x67734)) % 166.52/166.35 [6844]E(f329(f329(f115(f918(x68441,a905)),f329(f175(x68441),x68442)),f329(f175(x68441),x68443)),f329(f175(x68441),x68444))+~E(f169(x68441,x68445,x68444),f329(f329(f257(f911(x68441),f911(x68441)),x68442),x68443)) % 166.52/166.35 [6943]~P112(x69432)+E(f329(f192(f911(x69431)),f329(f329(f151(x69431,x69432,x69433),x69434),x69435)),f329(a117,f329(f192(f911(x69431)),x69435))) % 166.52/166.35 [6955]~P112(x69552)+E(f329(f175(x69551),f329(f329(f151(x69551,x69552,x69553),x69554),x69555)),f329(f329(f311(x69551),x69554),f329(f175(x69551),x69555))) % 166.52/166.35 [7225]~P116(x72251)+E(f329(f329(f82(x72251),f329(f329(f82(x72251),x72252),x72253)),f329(f329(f82(x72251),x72254),x72255)),f329(f329(f82(x72251),f329(f329(f82(x72251),x72252),x72254)),f329(f329(f82(x72251),x72253),x72255))) % 166.52/166.35 [7226]~P116(x72261)+E(f329(f329(f83(x72261),f329(f329(f83(x72261),x72262),x72263)),f329(f329(f83(x72261),x72264),x72265)),f329(f329(f83(x72261),f329(f329(f83(x72261),x72262),x72264)),f329(f329(f83(x72261),x72263),x72265))) % 166.52/166.35 [7227]~P71(x72271)+E(f329(f329(f292(x72271),f329(f329(f83(x72271),x72272),x72273)),f329(f329(f83(x72271),x72274),x72275)),f329(f329(f83(x72271),f329(f329(f292(x72271),x72272),x72274)),f329(f329(f292(x72271),x72273),x72275))) % 166.52/166.35 [7241]~P112(x72411)+E(f305(x72411,f329(f329(f238(x72411),x72412),x72413),f329(f329(f237(x72411),x72414),x72415)),f329(f329(f106(f918(x72411,a905)),f305(x72411,x72412,x72414)),f305(x72411,x72413,x72415))) % 166.52/166.35 [7242]~P112(x72421)+E(f307(x72421,f329(f329(f238(x72421),x72422),x72423),f329(f329(f237(x72421),x72424),x72425)),f329(f329(f106(f918(x72421,a905)),f307(x72421,x72422,x72424)),f307(x72421,x72423,x72425))) % 166.52/166.35 [7243]~P112(x72431)+E(f308(x72431,f329(f329(f238(x72431),x72432),x72433),f329(f329(f237(x72431),x72434),x72435)),f329(f329(f106(f918(x72431,a905)),f308(x72431,x72432,x72434)),f308(x72431,x72433,x72435))) % 166.52/166.35 [7244]~P112(x72441)+E(f329(f329(f106(f918(x72441,a905)),f329(f304(x72441,x72442),x72443)),f329(f304(x72441,x72444),x72445)),f329(f304(x72441,f329(f329(f238(x72441),x72442),x72444)),f329(f329(f237(x72441),x72443),x72445))) % 166.52/166.35 [7367]~P1(f329(x73671,f501(x73673,x73672,x73671)))+P1(f329(x73671,f329(f329(f257(x73672,x73673),x73674),x73675))) % 166.52/166.35 [7481]~E(x74812,f329(x74814,x74815))+P1(f329(f329(f331(x74811),x74812),f329(f312(x74813,x74811,x74814),f247(f918(x74813,a905))))) % 166.52/166.35 [7558]~P19(x75583,x75582,x75584)+P19(x75581,x75582,f329(f329(f8(x75583,f918(x75582,x75582),x75581),x75584),x75585)) % 166.52/166.35 [7559]~P21(x75593,x75592,x75594)+P21(x75591,x75592,f329(f329(f8(x75593,f918(x75592,x75592),x75591),x75594),x75595)) % 166.52/166.35 [7696]~P30(x76961,x76962,x76963,x76964)+P30(x76961,x76962,x76963,f329(f329(f23(f918(x76961,a905)),x76964),x76965)) % 166.52/166.35 [7852]~P1(f329(f329(x78523,x78524),x78525))+P1(f329(f329(f262(x78521,x78522,a905),x78523),f329(f329(f257(x78521,x78522),x78524),x78525))) % 166.52/166.35 [7971]~P1(f329(x79712,x79714))+~E(f329(f329(f141(x79711),f329(f192(f911(x79711)),f180(x79711,x79712,x79713))),x79713),f329(f329(f154(x79711),x79714),x79715)) % 166.52/166.35 [7991]P30(x79911,x79912,x79913,x79914)+~P30(x79911,x79912,x79913,f329(f329(f115(f918(x79911,a905)),x79915),x79914)) % 166.52/166.35 [7992]P30(x79921,x79922,x79923,x79924)+~P30(x79921,x79922,x79923,f329(f329(f115(f918(x79921,a905)),x79924),x79925)) % 166.52/166.35 [8039]~P112(x80392)+E(f329(f329(f151(x80391,x80392,x80393),x80394),f153(x80391,x80392,x80393,x80395)),f153(x80391,x80392,x80393,f329(f329(f154(x80391),x80394),x80395))) % 166.52/166.35 [8208]~P33(x82081,f329(a117,x82082),f329(f329(f329(f93(x82081),x82083),f329(a26,x82084)),x82085))+P33(x82081,x82082,f329(f329(f329(f93(x82081),x82083),f329(f236(a907),f329(a27,x82084))),x82085)) % 166.52/166.35 [8337]P33(x83371,f329(a117,x83372),f329(f329(f329(f93(x83371),x83373),f329(a26,x83374)),x83375))+~P33(x83371,x83372,f329(f329(f329(f93(x83371),x83373),f329(f236(a907),f329(a27,x83374))),x83375)) % 166.52/166.35 [8366]~P19(x83662,x83661,x83663)+E(f329(f145(x83661,x83662,f329(f7(x83662,x83661,x83661),x83663),x83664),x83665),f329(f329(f65(x83662,x83661,x83663),x83664),f329(f175(x83662),x83665))) % 166.52/166.35 [8394]~E(f329(f329(f141(x83941),f329(f192(f911(x83941)),f180(x83941,x83942,x83943))),x83943),f329(f329(f154(x83941),x83944),x83945))+E(f329(f329(f137(x83941),f180(x83941,x83942,x83943)),f329(f329(f154(x83941),x83944),x83945)),x83943) % 166.52/166.35 [8422]P1(f329(f329(x84221,x84222),x84223))+~P1(f329(f329(f262(x84224,x84225,a905),x84221),f329(f329(f257(x84224,x84225),x84222),x84223))) % 166.52/166.35 [8494]P48(x84944,f418(x84945,x84944,x84943,x84942),x84942,f436(x84945,x84944,x84943,x84942))+P33(x84941,x84942,f329(f329(f329(f93(x84941),x84943),x84944),x84945)) % 166.52/166.35 [8896]P1(f329(f329(f239(f918(x88961,a905)),f329(f312(x88962,x88961,x88963),x88964)),f329(f312(x88962,x88961,x88963),x88965)))+~P1(f329(f329(f239(f918(x88962,a905)),x88964),x88965)) % 166.52/166.35 [8897]P1(f329(f329(f239(f918(x88971,a905)),f329(f313(x88971,x88972,x88973),x88974)),f329(f313(x88971,x88972,x88973),x88975)))+~P1(f329(f329(f239(f918(x88972,a905)),x88974),x88975)) % 166.52/166.35 [8972]E(x89721,f2(a104))+E(f329(f329(f264(x89722,x89723,x89722,f917(x89723,x89722)),f329(x89724,x89725)),f276(x89723,x89722,f329(f329(f23(a104),x89721),f80(a104)),x89724)),f329(f276(x89723,x89722,x89721,x89724),x89725)) % 166.52/166.35 [9085]P1(f329(f329(f260(x90851,x90852,a905,x90853),x90854),x90855))+~P1(f329(x90853,f329(f329(f257(x90851,x90852),x90854),x90855))) % 166.52/166.35 [9307]P33(x93071,x93072,f329(f329(f329(f93(x93071),x93073),x93074),x93075))+P1(f329(f329(x93073,f417(x93075,x93074,x93073,x93072)),f418(x93075,x93074,x93073,x93072))) % 166.52/166.35 [9368]~P1(f329(f329(f260(x93682,x93683,a905,x93681),x93684),x93685))+P1(f329(x93681,f329(f329(f257(x93682,x93683),x93684),x93685))) % 166.52/166.35 [9545]P33(x95451,x95452,f329(f329(f329(f93(x95451),x95453),x95454),x95455))+~P1(f329(f329(x95455,f417(x95455,x95454,x95453,x95452)),f436(x95455,x95454,x95453,x95452))) % 166.52/166.35 [9548]~P1(f329(f329(f331(x95482),x95485),f329(f312(x95481,x95482,x95484),x95483)))+P1(f329(f329(f331(x95481),f329(f94(x95481,x95482,x95483,x95484),x95485)),x95483)) % 166.52/166.35 [9615]~P29(x96151,x96152,f329(f329(f311(f909(x96151)),f329(f329(f329(f93(x96151),x96153),f329(f236(a907),f329(a27,x96154))),x96155)),f191(f918(f909(x96151),a905))))+P29(x96151,x96152,f329(f329(f311(f909(x96151)),f329(f329(f329(f93(x96151),x96153),f329(a26,x96154)),x96155)),f191(f918(f909(x96151),a905)))) % 166.52/166.35 [9640]~P1(f329(f62(x96403),f329(f312(x96402,x96403,x96405),f247(f918(x96402,a905)))))+P1(f329(f62(x96401),f329(f312(x96402,x96401,f329(f329(f8(x96403,x96401,x96402),x96404),x96405)),f247(f918(x96402,a905))))) % 166.52/166.35 [9664]P1(f329(f329(f239(f918(f918(x96641,a905),a905)),f329(f312(f918(x96642,a905),f918(x96641,a905),f312(x96642,x96641,x96643)),f329(f310(x96642),x96644))),f329(f310(x96641),x96645)))+~P1(f329(f329(f239(f918(x96641,a905)),f329(f312(x96642,x96641,x96643),x96644)),x96645)) % 166.52/166.35 [9737]E(x97371,x97372)+~P1(f329(f67(x97373,x97374,x97375,x97371,f191(f918(x97373,a905))),x97372)) % 166.52/166.35 [9754]E(f329(f329(f257(x97541,x97542),f561(x97543,x97544,x97545,x97542,x97541)),f563(x97543,x97544,x97545,x97542,x97541)),x97545)+~P1(f329(f329(f331(f917(x97541,x97542)),x97545),f329(f329(f259(x97541,x97542),x97544),x97543))) % 166.52/166.35 [9846]P1(f329(f329(f331(x98461),f561(x98462,x98463,x98464,x98465,x98461)),x98463))+~P1(f329(f329(f331(f917(x98461,x98465)),x98464),f329(f329(f259(x98461,x98465),x98463),x98462))) % 166.52/166.35 [9948]P29(x99485,x99484,f329(f329(f311(f909(x99485)),f329(f329(f329(f93(x99485),x99481),x99483),x99482)),f191(f918(f909(x99485),a905))))+P1(f329(f329(x99481,f462(x99482,x99483,x99484,x99485,x99481)),f475(x99482,x99483,x99484,x99485,x99481))) % 166.52/166.35 [10000]P1(f329(f329(f331(x100001),f563(x100002,x100003,x100004,x100001,x100005)),f329(x100002,f561(x100002,x100003,x100004,x100001,x100005))))+~P1(f329(f329(f331(f917(x100005,x100001)),x100004),f329(f329(f259(x100005,x100001),x100003),x100002))) % 166.52/166.35 [10020]P1(f329(f329(f331(f917(x100201,x100201)),f329(f329(f257(x100201,x100201),x100202),f623(x100203,x100204,x100205,x100202,x100201))),x100203))+~P1(f329(f329(f331(f917(x100201,x100201)),f329(f329(f257(x100201,x100201),x100202),x100205)),f329(f329(f186(f917(x100201,x100201),a905),f329(a117,x100204)),x100203))) % 166.52/166.35 [10021]P1(f329(f329(f331(f917(x100211,x100211)),f329(f329(f257(x100211,x100211),x100212),f624(x100213,x100214,x100215,x100212,x100211))),x100213))+~P1(f329(f329(f331(f917(x100211,x100211)),f329(f329(f257(x100211,x100211),x100212),x100215)),f329(f329(f186(f917(x100211,x100211),a905),f329(a117,x100214)),x100213))) % 166.52/166.35 [10038]~P1(f329(f329(f331(f917(f911(x100381),f911(x100381))),f329(f329(f257(f911(x100381),f911(x100381)),f329(f329(f154(x100381),x100382),x100385)),x100384)),f161(x100381,x100383)))+P1(f329(f329(f331(f917(x100381,x100381)),f329(f329(f257(x100381,x100381),x100382),f678(x100383,x100384,x100385,x100382,x100381))),x100383)) % 166.52/166.35 [10040]~P34(x100401,x100402,f329(f329(f311(f909(x100401)),f329(f329(f329(f93(x100401),f95(x100401,x100403,x100404)),x100405),x100403)),f191(f918(f909(x100401),a905))))+P34(x100401,x100402,f329(f329(f311(f909(x100401)),f329(f329(f329(f93(x100401),x100403),f31(x100404,x100405)),f95(x100401,x100403,f329(f74(a905,a905,a906,a324),x100404)))),f191(f918(f909(x100401),a905)))) % 166.52/166.35 [10041]~P29(x100411,x100412,f329(f329(f311(f909(x100411)),f329(f329(f329(f93(x100411),f95(x100411,x100413,x100414)),x100415),x100413)),f191(f918(f909(x100411),a905))))+P29(x100411,x100412,f329(f329(f311(f909(x100411)),f329(f329(f329(f93(x100411),x100413),f31(x100414,x100415)),f95(x100411,x100413,f329(f74(a905,a905,a906,a324),x100414)))),f191(f918(f909(x100411),a905)))) % 166.52/166.35 [10319]P29(x103191,x103192,f329(f329(f311(f909(x103191)),f329(f329(f329(f93(x103191),x103193),x103194),x103195)),f191(f918(f909(x103191),a905))))+~P29(x103191,x103192,f329(f329(f311(f909(x103191)),f329(f329(f329(f93(x103191),f329(f16(f918(a906,a905),x103191),f329(f329(f7(a906,a906,a905),a326),f475(x103195,x103194,x103192,x103191,x103193)))),x103194),f329(f16(f918(a906,a905),x103191),f329(x103195,f462(x103195,x103194,x103192,x103191,x103193))))),f191(f918(f909(x103191),a905)))) % 166.52/166.35 [6452]P1(f329(x64522,x64524))+E(f180(x64521,x64522,f329(f329(f137(x64521),x64523),f329(f329(f154(x64521),x64524),x64525))),f180(x64521,x64522,x64523)) % 166.52/166.35 [6502]~P2(x65022)+E(f329(f329(f329(f115(f918(x65021,x65022)),x65023),x65024),x65025),f329(f329(f115(x65022),f329(x65023,x65025)),f329(x65024,x65025))) % 166.52/166.35 [6504]~P81(x65042)+E(f329(f329(f329(f23(f918(x65041,x65042)),x65043),x65044),x65045),f329(f329(f23(x65042),f329(x65043,x65045)),f329(x65044,x65045))) % 166.52/166.35 [6506]~P2(x65062)+E(f329(f329(f329(f106(f918(x65061,x65062)),x65063),x65064),x65065),f329(f329(f106(x65062),f329(x65063,x65065)),f329(x65064,x65065))) % 166.52/166.35 [6525]E(x65251,x65252)+E(f329(f329(f167(x65253),f329(f329(f162(x65253,x65254),x65251),x65255)),x65252),f329(f329(f167(x65253),x65254),x65252)) % 166.52/166.35 [6792]~E(x67924,f191(f918(x67923,a905)))+E(f329(f329(f115(f918(x67921,a905)),x67922),f329(f329(f40(x67923,f918(x67921,a905)),x67924),x67925)),x67922) % 166.52/166.35 [6793]~E(x67934,f191(f918(x67933,a905)))+E(f329(f329(f23(f918(x67931,a905)),x67932),f329(f329(f40(x67933,f918(x67931,a905)),x67934),x67935)),x67932) % 166.52/166.35 [6794]~E(x67944,f191(f918(x67943,a905)))+E(f329(f329(f106(f918(x67941,a905)),x67942),f329(f329(f41(x67943,f918(x67941,a905)),x67944),x67945)),x67942) % 166.52/166.35 [6810]~E(x68104,f191(f918(x68103,a905)))+E(f329(f329(f311(x68101),x68102),f329(f329(f40(x68103,f918(x68101,a905)),x68104),x68105)),f329(f329(f311(x68101),x68102),f191(f918(x68101,a905)))) % 166.52/166.35 [7605]E(f329(f329(f167(x76051),f329(f329(f157(x76052,x76051),x76053),x76054)),x76055),f329(x76053,f329(f329(f167(x76052),x76054),x76055)))+~P1(f329(f329(f240(a910),x76055),f329(f192(f911(x76052)),x76054))) % 166.52/166.35 [7667]E(f329(f329(f115(f918(x76671,a905)),f329(x76672,x76673)),f329(f329(f40(x76674,f918(x76671,a905)),x76675),x76672)),f329(f329(f40(x76674,f918(x76671,a905)),x76675),x76672))+~P1(f329(f329(f331(x76674),x76673),x76675)) % 166.52/166.35 [7668]E(f329(f329(f106(f918(x76681,a905)),f329(x76682,x76683)),f329(f329(f41(x76684,f918(x76681,a905)),x76685),x76682)),f329(f329(f41(x76684,f918(x76681,a905)),x76685),x76682))+~P1(f329(f329(f331(x76684),x76683),x76685)) % 166.52/166.35 [8287]~E(x82873,f191(f918(x82871,a905)))+E(f329(f329(f40(x82871,f918(x82872,a905)),x82873),f329(f329(f8(f918(x82872,a905),f918(x82872,a905),x82871),f329(f311(x82872),x82874)),x82875)),f191(f918(x82872,a905))) % 166.52/166.35 [8293]~P1(f329(f329(f331(x82934),x82933),x82935))+P1(f329(f329(f239(f918(x82931,a905)),f329(x82932,x82933)),f329(f329(f40(x82934,f918(x82931,a905)),x82935),x82932))) % 166.52/166.35 [8421]~E(f329(x84214,x84212),x84215)+P1(f329(f329(f331(x84211),x84212),f329(f313(x84211,x84213,x84214),f329(f329(f311(x84213),x84215),f191(f918(x84213,a905)))))) % 166.52/166.35 [8469]~P62(x84691,x84692,f329(f289(x84692,x84691),x84693))+E(f329(f329(f106(f918(x84691,a905)),f329(f288(x84692,x84691,x84693),x84694)),f329(f288(x84692,x84691,x84693),x84695)),f329(f288(x84692,x84691,x84693),f329(f329(f106(f918(x84692,a905)),x84694),x84695))) % 166.52/166.35 [8545]E(x85451,f2(a104))+E(f329(f123(x85452,x85453,f329(x85454,f329(f329(f23(a104),x85451),f80(a104)))),f329(f329(f7(x85452,a104,f912(x85453)),x85455),x85451)),f329(f202(x85452,x85453,x85454,x85455),x85451)) % 166.52/166.35 [8589]E(x85891,f191(f918(x85892,a905)))+E(f329(f329(f40(x85892,f918(x85893,a905)),x85891),f329(f329(f8(f918(x85893,a905),f918(x85893,a905),x85892),f329(f311(x85893),x85894)),x85895)),f329(f329(f311(x85893),x85894),f329(f329(f40(x85892,f918(x85893,a905)),x85891),x85895))) % 166.52/166.35 [8647]~P30(x86472,x86471,x86473,f247(f918(x86472,a905)))+E(f329(f329(f23(f918(x86471,a905)),f329(f312(x86472,x86471,x86473),x86474)),f329(f312(x86472,x86471,x86473),x86475)),f329(f312(x86472,x86471,x86473),f329(f329(f23(f918(x86472,a905)),x86474),x86475))) % 166.52/166.35 [8648]~P30(x86482,x86481,x86483,f247(f918(x86482,a905)))+E(f329(f329(f106(f918(x86481,a905)),f329(f312(x86482,x86481,x86483),x86484)),f329(f312(x86482,x86481,x86483),x86485)),f329(f312(x86482,x86481,x86483),f329(f329(f106(f918(x86482,a905)),x86484),x86485))) % 166.52/166.35 [8714]~P1(f329(f329(f68(x87141,x87142,x87145),x87143),x87144))+P1(f329(f329(f331(f917(x87141,x87142)),f329(f329(f257(x87141,x87142),x87143),x87144)),x87145)) % 166.52/166.35 [8745]P1(f329(f329(f331(x87451),x87452),f329(f287(x87453,x87451),x87454)))+~P1(f329(f329(f331(f917(x87453,x87451)),f329(f329(f257(x87453,x87451),x87455),x87452)),x87454)) % 166.52/166.35 [8747]P1(f329(f329(f331(x87471),x87472),f329(f269(x87471,x87473),x87474)))+~P1(f329(f329(f331(f917(x87471,x87473)),f329(f329(f257(x87471,x87473),x87472),x87475)),x87474)) % 166.52/166.35 [8880]P1(f329(f329(f68(x88801,x88802,x88803),x88804),x88805))+~P1(f329(f329(f331(f917(x88801,x88802)),f329(f329(f257(x88801,x88802),x88804),x88805)),x88803)) % 166.52/166.35 [8919]E(f329(x89191,x89192),x89193)+~P1(f329(f329(f331(x89194),x89192),f329(f313(x89194,x89195,x89191),f329(f329(f311(x89195),x89193),f191(f918(x89195,a905)))))) % 166.52/166.35 [9152]P1(f329(f329(f331(f917(x91521,x91522)),f329(f329(f257(x91521,x91522),x91523),x91524)),f329(f289(x91522,x91521),x91525)))+~P1(f329(f329(f331(f917(x91522,x91521)),f329(f329(f257(x91522,x91521),x91524),x91523)),x91525)) % 166.52/166.35 [9170]~P1(f329(f329(x91701,x91705),x91704))+P1(f329(f329(x91701,f329(f261(x91702,x91703),f329(f329(f257(x91702,x91703),x91704),x91705))),f329(f256(x91702,x91703),f329(f329(f257(x91702,x91703),x91704),x91705)))) % 166.52/166.35 [9199]~P1(f329(f329(f331(f917(x91992,x91991)),f329(f329(f257(x91992,x91991),x91994),x91993)),f329(f289(x91991,x91992),x91995)))+P1(f329(f329(f331(f917(x91991,x91992)),f329(f329(f257(x91991,x91992),x91993),x91994)),x91995)) % 166.52/166.35 [9232]~P1(f329(f329(f331(f917(x92323,x92321)),f329(f329(f257(x92323,x92321),x92325),x92322)),x92324))+P1(f329(f329(f331(x92321),x92322),f329(f288(x92323,x92321,x92324),f329(f329(f311(x92323),x92325),f191(f918(x92323,a905)))))) % 166.52/166.35 [9288]P1(f329(f329(f331(f917(x92881,x92882)),f329(f329(f257(x92881,x92882),x92883),x92884)),x92885))+~P1(f329(f329(f331(x92882),x92884),f329(f288(x92881,x92882,x92885),f329(f329(f311(x92881),x92883),f191(f918(x92881,a905)))))) % 166.52/166.35 [9375]~P5(x93751)+E(f329(f329(f6(a910,x93751),x93752),f305(a910,f329(f329(f82(a910),x93753),x93754),f329(f329(f82(a910),x93755),x93754))),f329(f329(f6(a910,x93751),f329(f329(f8(a910,x93751,a910),x93752),f329(f329(f7(a910,a910,a910),f82(a910)),x93754))),f305(a910,x93753,x93755))) % 166.52/166.35 [9394]~P5(x93941)+E(f329(f329(f6(a910,x93941),x93942),f329(f304(a910,f329(f329(f82(a910),x93943),x93944)),f329(f329(f82(a910),x93945),x93944))),f329(f329(f6(a910,x93941),f329(f329(f8(a910,x93941,a910),x93942),f329(f329(f7(a910,a910,a910),f82(a910)),x93944))),f329(f304(a910,x93943),x93945))) % 166.52/166.35 [9450]~P30(x94501,x94502,x94503,f247(f918(x94501,a905)))+E(f329(f329(f157(x94501,x94502),x94503),f329(f139(x94501,f329(f329(f8(a905,a905,x94501),a324),f329(a326,x94504))),x94505)),f329(f139(x94502,f329(f329(f8(a905,a905,x94502),a324),f329(a326,f329(x94503,x94504)))),f329(f329(f157(x94501,x94502),x94503),x94505))) % 166.52/166.35 [9468]~P30(x94681,x94682,x94683,f329(f329(f311(x94681),x94684),f329(f175(x94681),x94685)))+E(f329(f329(f157(x94681,x94682),x94683),f329(f139(x94681,f329(f329(f8(a905,a905,x94681),a324),f329(a326,x94684))),x94685)),f329(f139(x94682,f329(f329(f8(a905,a905,x94682),a324),f329(a326,f329(x94683,x94684)))),f329(f329(f157(x94681,x94682),x94683),x94685))) % 166.52/166.35 [9629]P1(f329(f329(f331(f917(f911(x96291),f911(x96291))),f329(f329(f257(f911(x96291),f911(x96291)),f329(f329(f154(x96291),x96292),x96293)),f329(f329(f154(x96291),x96294),x96293))),f160(x96291,x96295)))+~P1(f329(f329(f331(f917(x96291,x96291)),f329(f329(f257(x96291,x96291),x96292),x96294)),x96295)) % 166.52/166.35 [9735]P29(x97351,x97352,f329(f329(f311(f909(x97351)),f329(f329(f329(f93(x97351),x97353),f329(a26,x97354)),x97355)),f191(f918(f909(x97351),a905))))+~P29(x97351,f329(f329(f311(f909(x97351)),f329(f329(f329(f93(x97351),x97353),f329(a26,x97354)),x97355)),x97352),f329(f329(f311(f909(x97351)),f329(f329(f329(f93(x97351),x97353),f329(f236(a907),f329(a27,x97354))),x97355)),f191(f918(f909(x97351),a905)))) % 166.52/166.35 [9749]E(f329(f329(f311(x97491),f398(x97492,x97493,x97494,x97495,x97491)),f399(x97492,x97493,x97494,x97495,x97491)),f329(f329(f311(x97491),x97494),x97493))+~P1(f329(f63(x97491,x97495,f329(f329(f311(x97491),x97494),x97493)),x97492)) % 166.52/166.35 [9750]E(f329(f329(f311(x97501),f400(x97502,x97503,x97504,x97505,x97501)),f401(x97502,x97503,x97504,x97505,x97501)),f329(f329(f311(x97501),x97504),x97503))+~P1(f329(f63(x97501,x97505,f329(f329(f311(x97501),x97504),x97503)),x97502)) % 166.52/166.35 [9831]P1(f329(f329(f331(x98311),f631(x98312,x98313,x98314,x98315,x98311)),x98314))+P1(f329(f329(f329(f41(x98311,f918(x98315,a905)),x98314),x98313),x98312)) % 166.52/166.35 [9836]P1(f329(f329(f331(x98361),f630(x98362,x98363,x98361,x98364,x98365)),x98363))+P1(f329(f329(f331(x98365),x98364),f329(f329(f41(x98361,f918(x98365,a905)),x98363),x98362))) % 166.52/166.35 [9845]P1(f329(f329(f331(x98451),f632(x98452,x98453,x98451,x98454,x98455)),x98453))+P1(f329(f329(f239(f918(x98455,a905)),x98454),f329(f329(f41(x98451,f918(x98455,a905)),x98453),x98452))) % 166.52/166.35 [9847]P1(f329(f329(x98471,f422(x98472,x98471,x98473,x98474,x98475)),x98472))+~P1(f329(f329(f329(f40(x98475,f918(x98474,a905)),x98473),x98471),x98472)) % 166.52/166.35 [9851]P1(f329(f329(f331(x98511),f422(x98512,x98513,x98514,x98515,x98511)),x98514))+~P1(f329(f329(f329(f40(x98511,f918(x98515,a905)),x98514),x98513),x98512)) % 166.52/166.35 [9852]P60(x98524,f329(f329(f41(x98521,f918(x98524,a905)),x98525),x98523),f329(f329(f41(x98521,f918(f917(x98524,x98524),a905)),x98525),x98522))+P1(f329(f329(f331(x98521),f800(x98522,x98523,x98524,x98525,x98521)),x98525)) % 166.52/166.35 [9862]P1(f329(f329(f331(x98621),f427(x98622,x98623,x98621,x98624,x98625)),x98623))+~P1(f329(f329(f331(x98625),x98624),f329(f329(f40(x98621,f918(x98625,a905)),x98623),x98622))) % 166.52/166.35 [9868]P1(f329(f329(f331(x98681),x98682),f329(x98683,f427(x98683,x98684,x98685,x98682,x98681))))+~P1(f329(f329(f331(x98681),x98682),f329(f329(f40(x98685,f918(x98681,a905)),x98684),x98683))) % 166.52/166.35 [9953]~P1(f329(f329(x99534,f631(x99535,x99534,x99533,x99532,x99531)),x99535))+P1(f329(f329(f329(f41(x99531,f918(x99532,a905)),x99533),x99534),x99535)) % 166.52/166.35 [9956]~P1(f329(f329(f331(x99561),x99562),f329(x99565,f630(x99565,x99564,x99563,x99562,x99561))))+P1(f329(f329(f331(x99561),x99562),f329(f329(f41(x99563,f918(x99561,a905)),x99564),x99565))) % 166.52/166.35 [9960]~P60(x99601,f329(x99604,f800(x99605,x99604,x99601,x99603,x99602)),f329(x99605,f800(x99605,x99604,x99601,x99603,x99602)))+P60(x99601,f329(f329(f41(x99602,f918(x99601,a905)),x99603),x99604),f329(f329(f41(x99602,f918(f917(x99601,x99601),a905)),x99603),x99605)) % 166.52/166.35 [9961]~P1(f329(f329(f239(f918(x99611,a905)),x99612),f329(x99615,f632(x99615,x99614,x99613,x99612,x99611))))+P1(f329(f329(f239(f918(x99611,a905)),x99612),f329(f329(f41(x99613,f918(x99611,a905)),x99614),x99615))) % 166.52/166.35 [10024]~P1(f329(f329(f331(x100241),f398(x100245,x100244,x100243,x100242,x100241)),f399(x100245,x100244,x100243,x100242,x100241)))+~P1(f329(f63(x100241,x100242,f329(f329(f311(x100241),x100243),x100244)),x100245)) % 166.52/166.35 [10025]~P1(f329(f329(f331(x100251),f400(x100255,x100254,x100253,x100252,x100251)),f401(x100255,x100254,x100253,x100252,x100251)))+~P1(f329(f63(x100251,x100252,f329(f329(f311(x100251),x100253),x100254)),x100255)) % 166.52/166.35 [10026]~P1(f329(f329(f331(f917(x100261,x100261)),f329(f329(f257(x100261,x100261),x100262),x100265)),f329(f329(f186(f917(x100261,x100261),a905),f329(a117,x100264)),x100263)))+P1(f329(f329(f331(f917(x100261,x100261)),f329(f329(f257(x100261,x100261),x100262),f625(x100263,x100264,x100265,x100262,x100261))),f329(f329(f186(f917(x100261,x100261),a905),x100264),x100263))) % 166.52/166.35 [10032]P1(f329(f67(x100321,x100321,x100322,f398(x100323,x100324,x100325,x100322,x100321),f399(x100323,x100324,x100325,x100322,x100321)),x100323))+~P1(f329(f63(x100321,x100322,f329(f329(f311(x100321),x100325),x100324)),x100323)) % 166.52/166.35 [10033]P1(f329(f67(x100331,x100331,x100332,f400(x100333,x100334,x100335,x100332,x100331),f401(x100333,x100334,x100335,x100332,x100331)),x100333))+~P1(f329(f63(x100331,x100332,f329(f329(f311(x100331),x100335),x100334)),x100333)) % 166.52/166.35 [10045]~P112(x100451)+P18(x100451,f329(f329(f157(x100452,x100451),x100453),f329(f139(x100452,f329(f329(f7(x100452,x100451,a905),f329(f329(f8(x100451,f918(x100451,a905),x100452),a326),x100453)),f329(x100454,x100455))),x100455))) % 166.52/166.35 [10084]~P1(f329(f329(f331(x100842),x100845),f329(f288(x100841,x100842,x100844),x100843)))+P1(f329(f329(f331(f917(x100841,x100842)),f329(f329(f257(x100841,x100842),f502(x100843,x100844,x100841,x100845,x100842)),x100845)),x100844)) % 166.52/166.35 [10085]~P1(f329(f329(f331(x100852),x100855),f329(f288(x100851,x100852,x100854),x100853)))+P1(f329(f329(f331(f917(x100851,x100852)),f329(f329(f257(x100851,x100852),f539(x100853,x100854,x100851,x100855,x100852)),x100855)),x100854)) % 166.52/166.35 [10105]~P1(f329(f329(f331(f917(x101051,x101051)),f329(f329(f257(x101051,x101051),x101055),x101054)),f329(f329(f186(f917(x101051,x101051),a905),f329(a117,x101053)),x101052)))+P1(f329(f329(f331(f917(x101051,x101051)),f329(f329(f257(x101051,x101051),f625(x101052,x101053,x101054,x101055,x101051)),x101054)),x101052)) % 166.52/166.35 [10108]~P1(f329(f329(f331(f917(x101081,x101081)),f329(f329(f257(x101081,x101081),x101085),x101084)),f329(f329(f186(f917(x101081,x101081),a905),f329(a117,x101083)),x101082)))+P1(f329(f329(f331(f917(x101081,x101081)),f329(f329(f257(x101081,x101081),f623(x101082,x101083,x101084,x101085,x101081)),x101084)),f329(f329(f186(f917(x101081,x101081),a905),x101083),x101082))) % 166.52/166.35 [10109]~P1(f329(f329(f331(f917(x101091,x101091)),f329(f329(f257(x101091,x101091),x101095),x101094)),f329(f329(f186(f917(x101091,x101091),a905),f329(a117,x101093)),x101092)))+P1(f329(f329(f331(f917(x101091,x101091)),f329(f329(f257(x101091,x101091),f624(x101092,x101093,x101094,x101095,x101091)),x101094)),f329(f329(f186(f917(x101091,x101091),a905),x101093),x101092))) % 166.52/166.35 [10110]~P1(f329(f329(f331(f917(f911(x101101),f911(x101101))),f329(f329(f257(f911(x101101),f911(x101101)),x101105),f329(f329(f154(x101101),x101104),x101103))),f161(x101101,x101102)))+P1(f329(f329(f331(f917(x101101,x101101)),f329(f329(f257(x101101,x101101),f677(x101102,x101103,x101104,x101105,x101101)),x101104)),x101102)) % 166.52/166.35 [7688]~E(x76883,f191(f918(x76882,a905)))+E(f329(f329(f115(f918(x76881,a905)),f329(f329(f40(x76882,f918(x76881,a905)),x76883),x76884)),x76885),x76885) % 166.52/166.35 [7689]~E(x76893,f191(f918(x76892,a905)))+E(f329(f329(f106(f918(x76891,a905)),f329(f329(f41(x76892,f918(x76891,a905)),x76893),x76894)),x76895),x76895) % 166.52/166.35 [8126]~E(x81263,f191(f918(x81262,a905)))+E(f329(f329(f23(f918(x81261,a905)),f329(f329(f41(x81262,f918(x81261,a905)),x81263),x81264)),x81265),f329(f329(f23(f918(x81261,a905)),f247(f918(x81261,a905))),x81265)) % 166.52/166.35 [8261]E(f329(f329(f162(x82611,f329(f329(f137(x82611),x82612),x82613)),x82614),x82615),f329(f329(f137(x82611),f329(f329(f162(x82611,x82612),x82614),x82615)),x82613))+~P1(f329(f329(f240(a910),x82614),f329(f192(f911(x82611)),x82612))) % 166.52/166.35 [8535]E(f329(f329(f167(x85351),f329(f329(f157(a910,x85351),x85352),f142(a910,f329(f304(a910,x85353),x85354)))),x85355),f329(x85352,f329(f329(f82(a910),x85353),x85355)))+~P1(f329(f329(f240(a910),x85355),f329(f329(f23(a910),x85354),x85353))) % 166.52/166.35 [8549]E(x85491,f2(a104))+E(f126(x85492,x85493,f329(x85494,f329(f329(f23(a104),x85491),f80(a104))),f329(f329(f7(x85492,a104,f912(f914(x85493))),x85495),x85491)),f329(f200(x85492,x85493,x85494,x85495),x85491)) % 166.52/166.35 [8576]~E(x85763,f191(f918(x85761,a905)))+E(f329(f329(f40(x85761,f918(x85762,a905)),x85763),f329(f329(f8(f918(x85762,a905),f918(x85762,a905),x85761),f329(f115(f918(x85762,a905)),x85764)),x85765)),f191(f918(x85762,a905))) % 166.52/166.35 [8577]~E(x85773,f191(f918(x85771,a905)))+E(f329(f329(f41(x85771,f918(x85772,a905)),x85773),f329(f329(f8(f918(x85772,a905),f918(x85772,a905),x85771),f329(f23(f918(x85772,a905)),x85774)),x85775)),f247(f918(x85772,a905))) % 166.52/166.35 [8578]~E(x85783,f191(f918(x85781,a905)))+E(f329(f329(f41(x85781,f918(x85782,a905)),x85783),f329(f329(f8(f918(x85782,a905),f918(x85782,a905),x85781),f329(f106(f918(x85782,a905)),x85784)),x85785)),f247(f918(x85782,a905))) % 166.52/166.35 [8583]~P145(x85832)+E(f329(f329(f6(x85831,x85832),f329(f329(f8(x85832,x85832,x85831),f329(f83(x85832),x85833)),x85834)),x85835),f329(f329(f83(x85832),x85833),f329(f329(f6(x85831,x85832),x85834),x85835))) % 166.52/166.35 [8866]E(x88661,f191(f918(x88662,a905)))+E(f329(f329(f40(x88662,f918(x88663,a905)),x88661),f329(f329(f8(f918(x88663,a905),f918(x88663,a905),x88662),f329(f115(f918(x88663,a905)),x88664)),x88665)),f329(f329(f115(f918(x88663,a905)),x88664),f329(f329(f40(x88662,f918(x88663,a905)),x88661),x88665))) % 166.52/166.35 [8867]E(x88671,f191(f918(x88672,a905)))+E(f329(f329(f41(x88672,f918(x88673,a905)),x88671),f329(f329(f8(f918(x88673,a905),f918(x88673,a905),x88672),f329(f23(f918(x88673,a905)),x88674)),x88675)),f329(f329(f23(f918(x88673,a905)),x88674),f329(f329(f40(x88672,f918(x88673,a905)),x88671),x88675))) % 166.52/166.35 [8868]E(x88681,f191(f918(x88682,a905)))+E(f329(f329(f41(x88682,f918(x88683,a905)),x88681),f329(f329(f8(f918(x88683,a905),f918(x88683,a905),x88682),f329(f106(f918(x88683,a905)),x88684)),x88685)),f329(f329(f106(f918(x88683,a905)),x88684),f329(f329(f41(x88682,f918(x88683,a905)),x88681),x88685))) % 166.52/166.35 [9068]~P1(f329(f329(f240(a910),f329(x90684,x90682)),f329(x90684,x90683)))+P1(f329(f329(f331(f917(x90681,x90681)),f329(f329(f257(x90681,x90681),x90682),x90683)),f156(x90681,f329(f329(f154(f918(x90681,a910)),x90684),x90685)))) % 166.52/166.35 [9326]~P46(f918(x93265,a905),f918(x93261,a905),x93262)+P1(f329(f329(f239(f918(x93261,a905)),f329(f329(f115(f918(x93261,a905)),f329(x93262,x93263)),f329(x93262,x93264))),f329(x93262,f329(f329(f115(f918(x93265,a905)),x93263),x93264)))) % 166.52/166.35 [9343]~P30(x93432,x93431,x93433,f329(f329(f115(f918(x93432,a905)),x93434),x93435))+E(f329(f329(f106(f918(x93431,a905)),f329(f312(x93432,x93431,x93433),f329(f329(f23(f918(x93432,a905)),x93434),x93435))),f329(f312(x93432,x93431,x93433),f329(f329(f23(f918(x93432,a905)),x93435),x93434))),f191(f918(x93431,a905))) % 166.52/166.35 [9593]~P30(x95933,x95931,x95935,f247(f918(x95933,a905)))+E(f329(f74(x95931,x95932,x95933,f329(f74(x95933,x95932,x95931,x95934),f94(x95933,x95931,f247(f918(x95933,a905)),x95935))),x95935),x95934) % 166.52/166.35 [9625]~P1(f329(f329(f239(f918(x96253,a905)),f329(f288(x96251,x96253,x96254),x96252)),x96255))+P1(f329(f329(f239(f918(x96251,a905)),x96252),f329(f81(f918(x96251,a905)),f329(f288(x96253,x96251,f329(f289(x96251,x96253),x96254)),f329(f81(f918(x96253,a905)),x96255))))) % 166.52/166.35 [9649]~P30(x96491,x96492,x96493,f329(f329(f311(x96491),x96494),x96495))+~P1(f329(f329(f331(x96492),f329(x96493,x96494)),f329(f312(x96491,x96492,x96493),f329(f329(f23(f918(x96491,a905)),x96495),f329(f329(f311(x96491),x96494),f191(f918(x96491,a905))))))) % 166.52/166.35 [9701]P1(f329(f329(f239(f918(x97011,a905)),f329(f288(x97012,x97011,x97013),x97014)),x97015))+~P1(f329(f329(f239(f918(x97012,a905)),x97014),f329(f81(f918(x97012,a905)),f329(f288(x97011,x97012,f329(f289(x97012,x97011),x97013)),f329(f81(f918(x97011,a905)),x97015))))) % 166.52/166.35 [9776]~P89(x97761)+P1(f329(f329(f239(x97761),f329(f77(x97761),f329(f329(f23(x97761),f329(f329(f82(x97761),x97762),x97763)),f329(f329(f82(x97761),x97764),x97765)))),f329(f329(f82(x97761),f329(f77(x97761),f329(f329(f23(x97761),x97762),x97764))),f329(f77(x97761),f329(f329(f23(x97761),x97763),x97765))))) % 166.52/166.35 [9883]P1(f329(f329(f331(x98831),f432(x98832,x98833,x98834,x98831,x98835)),x98834))+P1(f329(f329(f239(f918(x98835,a905)),f329(f329(f40(x98831,f918(x98835,a905)),x98834),x98833)),x98832)) % 166.52/166.35 [10063]~P1(f329(f329(f239(f918(x100631,a905)),f329(x100634,f432(x100635,x100634,x100633,x100632,x100631))),x100635))+P1(f329(f329(f239(f918(x100631,a905)),f329(f329(f40(x100632,f918(x100631,a905)),x100633),x100634)),x100635)) % 166.52/166.35 [8694]E(f329(f329(f137(x86941),x86942),f329(f329(f162(x86941,x86943),f329(f329(f23(a910),x86944),f329(f192(f911(x86941)),x86942))),x86945)),f329(f329(f162(x86941,f329(f329(f137(x86941),x86942),x86943)),x86944),x86945))+P1(f329(f329(f240(a910),x86944),f329(f192(f911(x86941)),x86942))) % 166.52/166.35 [8721]~P144(x87211)+E(f329(f329(f82(x87211),f329(f329(f83(x87211),x87212),x87213)),f329(f329(f82(x87211),f329(f329(f83(x87211),x87214),x87213)),x87215)),f329(f329(f82(x87211),f329(f329(f83(x87211),f329(f329(f82(x87211),x87212),x87214)),x87213)),x87215)) % 166.52/166.35 [9297]~P145(x92971)+E(f329(f168(x92971),f329(f329(f157(x92972,x92971),f329(f329(f8(x92971,x92971,x92972),f329(f83(x92971),x92973)),x92974)),x92975)),f329(f329(f83(x92971),x92973),f329(f168(x92971),f329(f329(f157(x92972,x92971),x92974),x92975)))) % 166.52/166.35 [9467]E(f329(f192(f911(x94671)),f329(f329(f178(x94671),f329(f329(f237(a910),f329(f192(f911(x94671)),x94672)),f329(f192(f911(x94673)),x94674))),x94672)),f329(f192(f911(x94673)),f329(f329(f178(x94673),f329(f329(f237(a910),f329(f192(f911(x94671)),x94672)),f329(f192(f911(x94673)),x94674))),x94674)))+P1(f329(x94675,f329(f329(f184(x94671,x94673),x94672),x94674))) % 166.52/166.35 [9711]~P145(x97112)+E(f329(f329(f6(x97111,x97112),f329(f329(f7(x97111,x97112,x97112),f329(f329(f8(x97112,f918(x97112,x97112),x97111),f83(x97112)),x97113)),x97114)),x97115),f329(f329(f83(x97112),f329(f329(f6(x97111,x97112),x97113),x97115)),x97114)) % 166.52/166.35 [9712]~P72(x97122)+E(f329(f329(f6(x97121,x97122),f329(f329(f7(x97121,x97122,x97122),f329(f329(f8(x97122,f918(x97122,x97122),x97121),f292(x97122)),x97123)),x97124)),x97125),f329(f329(f292(x97122),f329(f329(f6(x97121,x97122),x97123),x97125)),x97124)) % 166.52/166.35 [9719]~P5(x97192)+E(f329(f329(f6(x97191,x97192),f329(f329(f18(x97191,x97192,x97192),f329(f329(f8(x97192,f918(x97192,x97192),x97191),f82(x97192)),x97193)),x97194)),x97195),f329(f329(f82(x97192),f329(f329(f6(x97191,x97192),x97193),x97195)),f329(f329(f6(x97191,x97192),x97194),x97195))) % 166.52/166.35 [9720]~P75(x97202)+E(f329(f329(f6(x97201,x97202),f329(f329(f18(x97201,x97202,x97202),f329(f329(f8(x97202,f918(x97202,x97202),x97201),f23(x97202)),x97203)),x97204)),x97205),f329(f329(f23(x97202),f329(f329(f6(x97201,x97202),x97203),x97205)),f329(f329(f6(x97201,x97202),x97204),x97205))) % 166.52/166.35 [9721]~P80(x97212)+E(f329(f329(f9(x97211,x97212),f329(f329(f18(x97211,x97212,x97212),f329(f329(f8(x97212,f918(x97212,x97212),x97211),f83(x97212)),x97213)),x97214)),x97215),f329(f329(f83(x97212),f329(f329(f9(x97211,x97212),x97213),x97215)),f329(f329(f9(x97211,x97212),x97214),x97215))) % 166.52/166.35 [9761]~E(x97613,f191(f918(x97611,a905)))+E(f329(f329(f40(x97611,f918(x97612,a905)),x97613),f329(f329(f7(x97611,f918(x97612,a905),f918(x97612,a905)),f329(f329(f8(f918(x97612,a905),f918(f918(x97612,a905),f918(x97612,a905)),x97611),f115(f918(x97612,a905))),x97614)),x97615)),f191(f918(x97612,a905))) % 166.52/166.35 [9762]~E(x97623,f191(f918(x97621,a905)))+E(f329(f329(f41(x97621,f918(x97622,a905)),x97623),f329(f329(f7(x97621,f918(x97622,a905),f918(x97622,a905)),f329(f329(f8(f918(x97622,a905),f918(f918(x97622,a905),f918(x97622,a905)),x97621),f23(f918(x97622,a905))),x97624)),x97625)),f247(f918(x97622,a905))) % 166.52/166.35 [9763]~E(x97633,f191(f918(x97631,a905)))+E(f329(f329(f41(x97631,f918(x97632,a905)),x97633),f329(f329(f7(x97631,f918(x97632,a905),f918(x97632,a905)),f329(f329(f8(f918(x97632,a905),f918(f918(x97632,a905),f918(x97632,a905)),x97631),f106(f918(x97632,a905))),x97634)),x97635)),f247(f918(x97632,a905))) % 166.52/166.35 [9784]E(x97841,f191(f918(x97842,a905)))+E(f329(f329(f40(x97842,f918(x97843,a905)),x97841),f329(f329(f7(x97842,f918(x97843,a905),f918(x97843,a905)),f329(f329(f8(f918(x97843,a905),f918(f918(x97843,a905),f918(x97843,a905)),x97842),f115(f918(x97843,a905))),x97844)),x97845)),f329(f329(f115(f918(x97843,a905)),f329(f329(f40(x97842,f918(x97843,a905)),x97841),x97844)),x97845)) % 166.52/166.35 [9785]E(x97851,f191(f918(x97852,a905)))+E(f329(f329(f41(x97852,f918(x97853,a905)),x97851),f329(f329(f7(x97852,f918(x97853,a905),f918(x97853,a905)),f329(f329(f8(f918(x97853,a905),f918(f918(x97853,a905),f918(x97853,a905)),x97852),f23(f918(x97853,a905))),x97854)),x97855)),f329(f329(f23(f918(x97853,a905)),f329(f329(f41(x97852,f918(x97853,a905)),x97851),x97854)),x97855)) % 166.52/166.35 [9786]E(x97861,f191(f918(x97862,a905)))+E(f329(f329(f41(x97862,f918(x97863,a905)),x97861),f329(f329(f7(x97862,f918(x97863,a905),f918(x97863,a905)),f329(f329(f8(f918(x97863,a905),f918(f918(x97863,a905),f918(x97863,a905)),x97862),f106(f918(x97863,a905))),x97864)),x97865)),f329(f329(f106(f918(x97863,a905)),f329(f329(f41(x97862,f918(x97863,a905)),x97861),x97864)),x97865)) % 166.52/166.35 [9348]~P1(f329(f329(f239(a910),x93481),x93484))+E(f329(f329(f23(a910),f329(f329(f82(a910),f329(f329(f83(a910),x93481),x93482)),x93483)),f329(f329(f82(a910),f329(f329(f83(a910),x93484),x93482)),x93485)),f329(f329(f23(a910),x93483),f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x93484),x93481)),x93482)),x93485))) % 166.52/166.35 [9935]~P145(x99351)+E(f329(f168(x99351),f329(f329(f157(x99352,x99351),f329(f329(f7(x99352,x99351,x99351),f329(f329(f8(x99351,f918(x99351,x99351),x99352),f83(x99351)),x99353)),x99354)),x99355)),f329(f329(f83(x99351),f329(f168(x99351),f329(f329(f157(x99352,x99351),x99353),x99355))),x99354)) % 166.52/166.35 [9941]~P5(x99411)+E(f329(f168(x99411),f329(f329(f157(x99412,x99411),f329(f329(f18(x99412,x99411,x99411),f329(f329(f8(x99411,f918(x99411,x99411),x99412),f82(x99411)),x99413)),x99414)),x99415)),f329(f329(f82(x99411),f329(f168(x99411),f329(f329(f157(x99412,x99411),x99413),x99415))),f329(f168(x99411),f329(f329(f157(x99412,x99411),x99414),x99415)))) % 166.52/166.35 [9942]~P75(x99421)+E(f329(f168(x99421),f329(f329(f157(x99422,x99421),f329(f329(f18(x99422,x99421,x99421),f329(f329(f8(x99421,f918(x99421,x99421),x99422),f23(x99421)),x99423)),x99424)),x99425)),f329(f329(f23(x99421),f329(f168(x99421),f329(f329(f157(x99422,x99421),x99423),x99425))),f329(f168(x99421),f329(f329(f157(x99422,x99421),x99424),x99425)))) % 166.52/166.35 [10076]P1(f329(x100761,f329(f329(f184(x100762,x100763),x100764),x100765)))+~P1(f329(x100761,f329(f329(f184(x100762,x100763),f329(f329(f178(x100762),f329(f329(f237(a910),f329(f192(f911(x100762)),x100764)),f329(f192(f911(x100763)),x100765))),x100764)),f329(f329(f178(x100763),f329(f329(f237(a910),f329(f192(f911(x100762)),x100764)),f329(f192(f911(x100763)),x100765))),x100765)))) % 166.52/166.35 [10329]~P1(f329(f329(f331(f917(x103292,x103291)),f329(f329(f257(x103292,x103291),x103294),x103295)),f329(f289(x103291,x103292),x103293)))+P1(f329(f329(f248(x103291,x103292,f329(f329(f7(x103291,f918(f917(x103291,x103292),a905),f918(x103292,a905)),f329(f329(f8(f918(x103292,f918(f918(f917(x103291,x103292),a905),a905)),f918(f918(f917(x103291,x103292),a905),f918(x103292,a905)),x103291),f7(x103292,f918(f917(x103291,x103292),a905),a905)),f329(f329(f8(f918(x103292,f917(x103291,x103292)),f918(x103292,f918(f918(f917(x103291,x103292),a905),a905)),x103291),f329(f8(f917(x103291,x103292),f918(f918(f917(x103291,x103292),a905),a905),x103292),f331(f917(x103291,x103292)))),f257(x103291,x103292)))),x103293)),x103294),x103295)) % 166.52/166.35 [10342]P1(f329(f329(f331(f917(x103421,x103422)),f329(f329(f257(x103421,x103422),x103423),x103424)),f329(f289(x103422,x103421),x103425)))+~P1(f329(f329(f248(x103422,x103421,f329(f329(f7(x103422,f918(f917(x103422,x103421),a905),f918(x103421,a905)),f329(f329(f8(f918(x103421,f918(f918(f917(x103422,x103421),a905),a905)),f918(f918(f917(x103422,x103421),a905),f918(x103421,a905)),x103422),f7(x103421,f918(f917(x103422,x103421),a905),a905)),f329(f329(f8(f918(x103421,f917(x103422,x103421)),f918(x103421,f918(f918(f917(x103422,x103421),a905),a905)),x103422),f329(f8(f917(x103422,x103421),f918(f918(f917(x103422,x103421),a905),a905),x103421),f331(f917(x103422,x103421)))),f257(x103422,x103421)))),x103425)),x103423),x103424)) % 166.52/166.35 [9592]~P1(f329(f329(f239(a910),x95924),x95921))+E(f329(f329(f23(a910),f329(f329(f82(a910),f329(f329(f83(a910),x95921),x95922)),x95923)),f329(f329(f82(a910),f329(f329(f83(a910),x95924),x95922)),x95925)),f329(f329(f23(a910),f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x95921),x95924)),x95922)),x95923)),x95925)) % 166.52/166.35 [10351]P29(x103511,x103512,f329(f312(a908,f909(x103511),f329(f329(f18(a908,f918(x103511,f918(a906,a905)),f909(x103511)),f329(f329(f18(a908,a907,f918(f918(x103511,f918(a906,a905)),f909(x103511))),f329(f329(f8(f918(x103511,f918(a906,a905)),f918(a907,f918(f918(x103511,f918(a906,a905)),f909(x103511))),a908),f93(x103511)),x103513)),a26)),x103514)),x103515))+~P29(x103511,f329(f329(f115(f918(f909(x103511),a905)),x103512),f329(f312(a908,f909(x103511),f329(f329(f18(a908,f918(x103511,f918(a906,a905)),f909(x103511)),f329(f329(f18(a908,a907,f918(f918(x103511,f918(a906,a905)),f909(x103511))),f329(f329(f8(f918(x103511,f918(a906,a905)),f918(a907,f918(f918(x103511,f918(a906,a905)),f909(x103511))),a908),f93(x103511)),x103513)),a26)),x103514)),x103515)),f329(f312(a908,f909(x103511),f329(f329(f18(a908,f918(x103511,f918(a906,a905)),f909(x103511)),f329(f329(f18(a908,a907,f918(f918(x103511,f918(a906,a905)),f909(x103511))),f329(f329(f8(f918(x103511,f918(a906,a905)),f918(a907,f918(f918(x103511,f918(a906,a905)),f909(x103511))),a908),f93(x103511)),x103513)),f329(f329(f8(f914(a907),a907,a908),f236(a907)),a27))),x103514)),x103515)) % 166.52/166.35 [5367]E(x53671,x53672)+~E(f29(x53673,x53674,x53671),f29(x53675,x53676,x53672)) % 166.52/166.35 [5368]E(x53681,x53682)+~E(f29(x53683,x53681,x53684),f29(x53685,x53682,x53686)) % 166.52/166.35 [5369]E(x53691,x53692)+~E(f29(x53691,x53693,x53694),f29(x53692,x53695,x53696)) % 166.52/166.35 [5370]E(x53701,x53702)+~E(f28(x53703,x53704,x53701),f28(x53705,x53706,x53702)) % 166.52/166.35 [5371]E(x53711,x53712)+~E(f28(x53713,x53711,x53714),f28(x53715,x53712,x53716)) % 166.52/166.35 [5372]E(x53721,x53722)+~E(f28(x53721,x53723,x53724),f28(x53722,x53725,x53726)) % 166.52/166.35 [7375]E(x73751,x73752)+~E(f224(x73753,x73754,x73755,x73751),f224(x73753,x73754,x73756,x73752)) % 166.52/166.35 [7376]E(x73761,x73762)+~E(f224(x73763,x73764,x73761,x73765),f224(x73763,x73764,x73762,x73766)) % 166.52/166.35 [8518]~P24(x85185,x85181,x85182,x85186)+E(f329(f74(x85181,x85181,x85181,f329(x85182,x85183)),f329(x85182,x85184)),f329(f74(x85181,x85181,x85181,f329(x85182,x85184)),f329(x85182,x85183))) % 166.52/166.35 [8762]~P64(x87624,x87625,x87622,x87621,x87626)+E(f329(x87621,f329(x87622,x87623)),x87623) % 166.52/166.35 [8917]P30(x89171,x89172,x89173,x89174)+~P30(x89171,x89175,f329(f74(x89172,x89175,x89171,x89176),x89173),x89174) % 166.52/166.35 [8986]~E(x89866,x89864)+E(f329(f76(x89861,x89862,x89863,x89864,x89865),x89866),x89865) % 166.52/166.35 [8993]E(x89931,x89932)+E(f329(f76(x89933,x89934,x89935,x89932,x89936),x89931),f329(x89935,x89931)) % 166.52/166.35 [9005]~P30(x90054,x90052,f329(f74(x90051,x90052,x90054,x90053),x90055),x90056)+P30(x90051,x90052,x90053,f329(f312(x90054,x90051,x90055),x90056)) % 166.52/166.35 [9722]P1(f329(f62(x97221),x97222))+~P1(f329(f67(x97221,x97223,x97224,x97225,x97222),x97226)) % 166.52/166.35 [9731]~P1(f329(f329(f331(x97314),x97313),f302(x97314,x97315,x97311,x97312,x97316)))+P1(f329(f329(x97311,x97312),x97313)) % 166.52/166.35 [9732]~P1(f329(f329(f331(x97324),x97323),f299(x97324,x97321,x97325,x97322,x97326)))+P1(f329(f329(x97321,x97322),x97323)) % 166.52/166.35 [9733]~P1(f329(f329(f331(x97334),x97332),f302(x97334,x97331,x97335,x97336,x97333)))+P1(f329(f329(x97331,x97332),x97333)) % 166.52/166.35 [9734]~P1(f329(f329(f331(x97344),x97342),f299(x97344,x97345,x97341,x97346,x97343)))+P1(f329(f329(x97341,x97342),x97343)) % 166.52/166.35 [5875]E(x58751,x58752)+~E(f329(f329(f257(x58753,x58754),x58755),x58751),f329(f329(f257(x58753,x58754),x58756),x58752)) % 166.52/166.35 [5877]E(x58771,x58772)+~E(f329(f329(f257(x58773,x58774),x58771),x58775),f329(f329(f257(x58773,x58774),x58772),x58776)) % 166.52/166.35 [6010]~P21(x60105,x60106,x60101)+E(f329(f329(x60101,x60102),f329(f329(x60101,x60103),x60104)),f329(f329(x60101,x60103),f329(f329(x60101,x60102),x60104))) % 166.52/166.35 [7443]~P38(x74434,x74431,f329(f329(f154(x74434),x74432),x74435),f329(f329(f154(x74434),x74433),x74436))+P1(f329(f329(x74431,x74432),x74433)) % 166.52/166.35 [7804]P38(x78041,x78042,x78043,x78044)+~P38(x78041,x78042,f329(f329(f154(x78041),x78045),x78043),f329(f329(f154(x78041),x78046),x78044)) % 166.52/166.35 [8857]~P64(x88575,x88571,x88572,x88576,x88574)+P1(f329(f329(f331(x88571),f329(x88572,x88573)),x88574)) % 166.52/166.35 [9034]E(f329(f78(x90341,x90342,x90343,x90344,x90345),x90346),f329(x90343,x90346))+P1(f329(f329(f331(x90341),x90346),x90345)) % 166.52/166.35 [9058]~E(x90583,f329(f329(f154(x90581),x90585),x90586))+P1(f329(f329(f331(f917(f911(x90581),f911(x90581))),f329(f329(f257(f911(x90581),f911(x90581)),x90582),f329(f329(f137(x90581),x90582),x90583))),f150(x90581,x90584))) % 166.52/166.35 [9063]E(f329(f78(x90631,x90632,x90633,x90634,x90635),x90636),f329(x90634,x90636))+~P1(f329(f329(f331(x90631),x90636),x90635)) % 166.52/166.35 [9303]~P40(x93031,x93032,x93033,x93035,x93036)+P40(x93031,x93032,x93033,f329(f329(f178(x93031),x93034),x93035),f329(f329(f178(x93032),x93034),x93036)) % 166.52/166.35 [9304]~P40(x93041,x93042,x93043,x93045,x93046)+P40(x93041,x93042,x93043,f329(f329(f141(x93041),x93044),x93045),f329(f329(f141(x93042),x93044),x93046)) % 166.52/166.35 [9558]E(f329(f312(x95581,x95582,f76(x95581,x95582,x95583,x95584,x95585)),x95586),f329(f312(x95581,x95582,x95583),x95586))+P1(f329(f329(f331(x95581),x95584),x95586)) % 166.52/166.35 [9561]E(f329(f329(f157(x95611,x95612),f76(x95611,x95612,x95613,x95614,x95615)),x95616),f329(f329(f157(x95611,x95612),x95613),x95616))+P1(f329(f329(f331(x95611),x95614),f329(f175(x95611),x95616))) % 166.52/166.35 [9796]~P28(x97964,x97962,x97965,x97963,x97966,x97961)+E(f329(x97961,f191(f918(x97962,a905))),x97963) % 166.52/166.35 [10027]~E(f329(x100274,f329(f256(x100271,x100273),x100275)),f329(x100276,f329(f256(x100271,x100273),x100275)))+E(f329(f263(x100271,x100272,x100273,x100273,x100274,f33(x100273)),x100275),f329(f263(x100271,x100272,x100273,x100273,x100276,f33(x100273)),x100275)) % 166.52/166.35 [10028]~E(f329(x100284,f329(f261(x100281,x100282),x100285)),f329(x100286,f329(f261(x100281,x100282),x100285)))+E(f329(f263(x100281,x100281,x100282,x100283,f33(x100281),x100284),x100285),f329(f263(x100281,x100281,x100282,x100283,f33(x100281),x100286),x100285)) % 166.52/166.35 [10072]~E(f329(f263(x100722,x100726,x100723,x100723,x100721,f33(x100723)),x100724),f329(f263(x100722,x100726,x100723,x100723,x100725,f33(x100723)),x100724))+E(f329(x100721,f329(f256(x100722,x100723),x100724)),f329(x100725,f329(f256(x100722,x100723),x100724))) % 166.52/166.35 [10073]~E(f329(f263(x100732,x100732,x100733,x100736,f33(x100732),x100731),x100734),f329(f263(x100732,x100732,x100733,x100736,f33(x100732),x100735),x100734))+E(f329(x100731,f329(f261(x100732,x100733),x100734)),f329(x100735,f329(f261(x100732,x100733),x100734))) % 166.52/166.35 [8955]P1(f329(f329(f331(x89551),x89552),x89553))+~P1(f329(f329(f331(f917(x89551,x89554)),f329(f329(f257(x89551,x89554),x89552),x89555)),f329(f329(f259(x89551,x89554),x89553),x89556))) % 166.52/166.35 [8969]P1(f329(f329(f331(x89691),x89692),f329(x89693,x89694)))+~P1(f329(f329(f331(f917(x89695,x89691)),f329(f329(f257(x89695,x89691),x89694),x89692)),f329(f329(f259(x89695,x89691),x89696),x89693))) % 166.52/166.35 [9417]P1(f329(f329(f331(f917(x94171,x94171)),f329(f329(f257(x94171,x94171),f329(x94172,x94173)),f329(x94172,x94174))),x94175))+~P1(f329(f329(f331(f917(x94176,x94176)),f329(f329(f257(x94176,x94176),x94173),x94174)),f329(f329(f290(x94171,x94176),x94175),x94172))) % 166.52/166.35 [9437]~P1(f329(f329(f331(f917(x94374,x94374)),f329(f329(f257(x94374,x94374),f329(x94376,x94372)),f329(x94376,x94373))),x94375))+P1(f329(f329(f331(f917(x94371,x94371)),f329(f329(f257(x94371,x94371),x94372),x94373)),f329(f329(f290(x94374,x94371),x94375),x94376))) % 166.52/166.35 [10075]E(f329(f329(f257(x100751,x100752),f665(x100753,x100754,x100755,x100756,x100752,x100751)),f666(x100753,x100754,x100755,x100756,x100752,x100751)),x100756)+~P1(f329(f329(f331(f917(x100751,x100752)),x100756),f329(f329(f291(x100751,x100755,x100752),x100754),x100753))) % 166.52/166.35 [10287]~P1(f329(f329(f331(f917(x102871,x102876)),x102875),f329(f329(f291(x102871,x102872,x102876),x102874),x102873)))+P1(f329(f329(f331(f917(x102871,x102872)),f329(f329(f257(x102871,x102872),f665(x102873,x102874,x102872,x102875,x102876,x102871)),f667(x102873,x102874,x102872,x102875,x102876,x102871))),x102874)) % 166.52/166.35 [10288]~P1(f329(f329(f331(f917(x102886,x102882)),x102885),f329(f329(f291(x102886,x102881,x102882),x102884),x102883)))+P1(f329(f329(f331(f917(x102881,x102882)),f329(f329(f257(x102881,x102882),f667(x102883,x102884,x102881,x102885,x102882,x102886)),f666(x102883,x102884,x102881,x102885,x102882,x102886))),x102883)) % 166.52/166.35 [7875]~P10(x78752)+E(f329(f329(f40(x78751,x78752),x78753),f329(f329(f7(x78751,x78754,x78752),x78755),x78756)),f329(f329(f329(f40(x78751,f918(x78754,x78752)),x78753),x78755),x78756)) % 166.52/166.35 [7876]~P10(x78762)+E(f329(f329(f41(x78761,x78762),x78763),f329(f329(f7(x78761,x78764,x78762),x78765),x78766)),f329(f329(f329(f41(x78761,f918(x78764,x78762)),x78763),x78765),x78766)) % 166.52/166.35 [8676]E(f329(f329(f40(x86761,f918(x86762,a905)),x86763),f329(f329(f8(f918(x86762,a905),f918(x86762,a905),x86761),f329(f311(x86762),x86764)),x86765)),f329(f329(f311(x86762),x86764),f329(f329(f40(x86761,f918(x86762,a905)),x86763),x86765)))+~P1(f329(f329(f331(x86761),x86766),x86763)) % 166.52/166.35 [9111]~P10(x91112)+E(f329(f329(f40(x91111,x91112),x91113),f329(f329(f8(f918(x91114,x91112),x91112,x91111),f329(f40(x91114,x91112),x91115)),f329(f7(x91114,x91111,x91112),x91116))),f329(f329(f40(x91114,x91112),x91115),f329(f329(f8(f918(x91111,x91112),x91112,x91114),f329(f40(x91111,x91112),x91113)),x91116))) % 166.52/166.35 [9112]~P10(x91122)+E(f329(f329(f41(x91121,x91122),x91123),f329(f329(f8(f918(x91124,x91122),x91122,x91121),f329(f41(x91124,x91122),x91125)),f329(f7(x91124,x91121,x91122),x91126))),f329(f329(f41(x91124,x91122),x91125),f329(f329(f8(f918(x91121,x91122),x91122,x91124),f329(f41(x91121,x91122),x91123)),x91126))) % 166.52/166.35 [9330]P1(f329(f329(f331(x93301),x93302),f329(f175(x93301),x93303)))+~P1(f329(f329(f331(f917(x93304,x93301)),f329(f329(f257(x93304,x93301),x93305),x93302)),f329(f175(f917(x93304,x93301)),f329(f329(f184(x93304,x93301),x93306),x93303)))) % 166.52/166.35 [9331]P1(f329(f329(f331(x93311),x93312),f329(f175(x93311),x93313)))+~P1(f329(f329(f331(f917(x93311,x93314)),f329(f329(f257(x93311,x93314),x93312),x93315)),f329(f175(f917(x93311,x93314)),f329(f329(f184(x93311,x93314),x93313),x93316)))) % 166.52/166.35 [9433]P1(f329(f329(f239(f918(x94331,a905)),f329(f288(x94332,x94331,x94333),x94334)),x94335))+~P1(f329(f329(f239(f918(f917(x94332,x94331),a905)),x94333),f329(f329(f259(x94332,x94331),x94336),f329(f16(f918(x94331,a905),x94332),x94335)))) % 166.52/166.35 [9628]P1(f329(f329(f331(f917(f911(x96281),f911(x96281))),f329(f329(f257(f911(x96281),f911(x96281)),f329(f329(f154(x96281),x96282),x96283)),f329(f329(f154(x96281),x96284),x96285))),f150(x96281,x96286)))+~P1(f329(f329(f331(f917(x96281,x96281)),f329(f329(f257(x96281,x96281),x96282),x96284)),x96286)) % 166.52/166.35 [10071]E(f329(f329(f257(x100711,x100712),f580(x100713,x100714,x100715,x100712,x100711,x100716)),f582(x100713,x100714,x100715,x100712,x100711,x100716)),x100716)+P1(f329(f329(f331(x100715),x100714),f329(f329(f262(x100711,x100712,f918(x100715,a905)),x100713),x100716))) % 166.52/166.35 [10077]E(f329(f329(f257(x100771,x100772),f579(x100773,x100774,x100772,x100771,x100775,x100776)),f581(x100773,x100774,x100772,x100771,x100775,x100776)),x100773)+~P1(f329(f329(f331(x100776),x100775),f329(f329(f262(x100771,x100772,f918(x100776,a905)),x100774),x100773))) % 166.52/166.35 [10238]P1(f329(f329(f331(x102381),x102382),f329(f329(x102383,f579(x102384,x102383,x102385,x102386,x102382,x102381)),f581(x102384,x102383,x102385,x102386,x102382,x102381))))+~P1(f329(f329(f331(x102381),x102382),f329(f329(f262(x102386,x102385,f918(x102381,a905)),x102383),x102384))) % 166.52/166.35 [10262]~P1(f329(f329(f331(x102621),x102622),f329(f329(x102625,f580(x102625,x102622,x102621,x102624,x102623,x102626)),f582(x102625,x102622,x102621,x102624,x102623,x102626))))+P1(f329(f329(f331(x102621),x102622),f329(f329(f262(x102623,x102624,f918(x102621,a905)),x102625),x102626))) % 166.52/166.35 [8566]E(x85661,x85662)+E(f329(f329(f162(x85663,f329(f329(f162(x85663,x85664),x85661),x85665)),x85662),x85666),f329(f329(f162(x85663,f329(f329(f162(x85663,x85664),x85662),x85666)),x85661),x85665)) % 166.52/166.35 [9686]~P1(f329(f329(f331(x96863),x96866),x96865))+E(f329(f329(f311(x96861),x96862),f329(f312(x96863,x96861,x96864),f329(f329(f23(f918(x96863,a905)),x96865),f329(f329(f311(x96863),x96866),f191(f918(x96863,a905)))))),f329(f312(x96863,x96861,f76(x96863,x96861,x96864,x96866,x96862)),x96865)) % 166.52/166.35 [9193]~P1(f329(f329(x91934,x91935),x91936))+P1(f329(f329(f329(f329(f115(f918(x91931,f918(x91932,a905))),x91933),x91934),x91935),x91936)) % 166.52/166.35 [9195]~P1(f329(f329(x91953,x91955),x91956))+P1(f329(f329(f329(f329(f115(f918(x91951,f918(x91952,a905))),x91953),x91954),x91955),x91956)) % 166.52/166.35 [9488]P1(f329(f329(x94881,x94882),x94883))+~P1(f329(f329(f329(f329(f106(f918(x94884,f918(x94885,a905))),x94886),x94881),x94882),x94883)) % 166.52/166.35 [9489]P1(f329(f329(x94891,x94892),x94893))+~P1(f329(f329(f329(f329(f106(f918(x94894,f918(x94895,a905))),x94891),x94896),x94892),x94893)) % 166.52/166.35 [9923]~P5(x99232)+E(f329(f329(f6(x99231,x99232),f329(f329(f7(x99231,f918(x99233,a905),x99232),f329(f329(f8(f918(x99233,x99232),f918(f918(x99233,a905),x99232),x99231),f6(x99233,x99232)),x99234)),x99235)),x99236),f329(f329(f6(f917(x99231,x99233),x99232),f329(f262(x99231,x99233,x99232),x99234)),f329(f329(f259(x99231,x99233),x99236),f329(f16(f918(x99233,a905),x99231),x99235)))) % 166.52/166.35 [9924]~P80(x99242)+E(f329(f329(f9(x99241,x99242),f329(f329(f7(x99241,f918(x99243,a905),x99242),f329(f329(f8(f918(x99243,x99242),f918(f918(x99243,a905),x99242),x99241),f9(x99243,x99242)),x99244)),x99245)),x99246),f329(f329(f9(f917(x99241,x99243),x99242),f329(f262(x99241,x99243,x99242),x99244)),f329(f329(f259(x99241,x99243),x99246),f329(f16(f918(x99243,a905),x99241),x99245)))) % 166.52/166.35 [10054]~P5(x100542)+E(f329(f329(f6(x100541,x100542),f329(f329(f7(x100541,f918(x100543,a905),x100542),f329(f329(f8(f918(x100543,x100542),f918(f918(x100543,a905),x100542),x100541),f6(x100543,x100542)),f329(f7(x100543,x100541,x100542),x100544))),x100545)),x100546),f329(f329(f6(x100543,x100542),f329(f329(f7(x100543,f918(x100541,a905),x100542),f329(f329(f8(f918(x100541,x100542),f918(f918(x100541,a905),x100542),x100543),f6(x100541,x100542)),x100544)),x100546)),x100545)) % 166.52/166.35 [10355]~P1(f329(f329(f331(f917(x103551,x103552)),f329(f329(f257(x103551,x103552),x103555),x103556)),f329(f329(f115(f918(f917(x103551,x103552),a905)),x103553),x103554)))+P1(f329(f329(f329(f329(f115(f918(x103551,f918(x103552,a905))),f329(f329(f7(x103551,f918(f917(x103551,x103552),a905),f918(x103552,a905)),f329(f329(f8(f918(x103552,f918(f918(f917(x103551,x103552),a905),a905)),f918(f918(f917(x103551,x103552),a905),f918(x103552,a905)),x103551),f7(x103552,f918(f917(x103551,x103552),a905),a905)),f329(f329(f8(f918(x103552,f917(x103551,x103552)),f918(x103552,f918(f918(f917(x103551,x103552),a905),a905)),x103551),f329(f8(f917(x103551,x103552),f918(f918(f917(x103551,x103552),a905),a905),x103552),f331(f917(x103551,x103552)))),f257(x103551,x103552)))),x103553)),f329(f329(f7(x103551,f918(f917(x103551,x103552),a905),f918(x103552,a905)),f329(f329(f8(f918(x103552,f918(f918(f917(x103551,x103552),a905),a905)),f918(f918(f917(x103551,x103552),a905),f918(x103552,a905)),x103551),f7(x103552,f918(f917(x103551,x103552),a905),a905)),f329(f329(f8(f918(x103552,f917(x103551,x103552)),f918(x103552,f918(f918(f917(x103551,x103552),a905),a905)),x103551),f329(f8(f917(x103551,x103552),f918(f918(f917(x103551,x103552),a905),a905),x103552),f331(f917(x103551,x103552)))),f257(x103551,x103552)))),x103554)),x103555),x103556)) % 166.52/166.35 [10356]~P1(f329(f329(f331(f917(x103561,x103562)),f329(f329(f257(x103561,x103562),x103565),x103566)),f329(f329(f106(f918(f917(x103561,x103562),a905)),x103563),x103564)))+P1(f329(f329(f329(f329(f106(f918(x103561,f918(x103562,a905))),f329(f329(f7(x103561,f918(f917(x103561,x103562),a905),f918(x103562,a905)),f329(f329(f8(f918(x103562,f918(f918(f917(x103561,x103562),a905),a905)),f918(f918(f917(x103561,x103562),a905),f918(x103562,a905)),x103561),f7(x103562,f918(f917(x103561,x103562),a905),a905)),f329(f329(f8(f918(x103562,f917(x103561,x103562)),f918(x103562,f918(f918(f917(x103561,x103562),a905),a905)),x103561),f329(f8(f917(x103561,x103562),f918(f918(f917(x103561,x103562),a905),a905),x103562),f331(f917(x103561,x103562)))),f257(x103561,x103562)))),x103563)),f329(f329(f7(x103561,f918(f917(x103561,x103562),a905),f918(x103562,a905)),f329(f329(f8(f918(x103562,f918(f918(f917(x103561,x103562),a905),a905)),f918(f918(f917(x103561,x103562),a905),f918(x103562,a905)),x103561),f7(x103562,f918(f917(x103561,x103562),a905),a905)),f329(f329(f8(f918(x103562,f917(x103561,x103562)),f918(x103562,f918(f918(f917(x103561,x103562),a905),a905)),x103561),f329(f8(f917(x103561,x103562),f918(f918(f917(x103561,x103562),a905),a905),x103562),f331(f917(x103561,x103562)))),f257(x103561,x103562)))),x103564)),x103565),x103566)) % 166.52/166.35 [10363]P1(f329(f329(f331(f917(x103631,x103632)),f329(f329(f257(x103631,x103632),x103633),x103634)),f329(f329(f115(f918(f917(x103631,x103632),a905)),x103635),x103636)))+~P1(f329(f329(f329(f329(f115(f918(x103631,f918(x103632,a905))),f329(f329(f7(x103631,f918(f917(x103631,x103632),a905),f918(x103632,a905)),f329(f329(f8(f918(x103632,f918(f918(f917(x103631,x103632),a905),a905)),f918(f918(f917(x103631,x103632),a905),f918(x103632,a905)),x103631),f7(x103632,f918(f917(x103631,x103632),a905),a905)),f329(f329(f8(f918(x103632,f917(x103631,x103632)),f918(x103632,f918(f918(f917(x103631,x103632),a905),a905)),x103631),f329(f8(f917(x103631,x103632),f918(f918(f917(x103631,x103632),a905),a905),x103632),f331(f917(x103631,x103632)))),f257(x103631,x103632)))),x103635)),f329(f329(f7(x103631,f918(f917(x103631,x103632),a905),f918(x103632,a905)),f329(f329(f8(f918(x103632,f918(f918(f917(x103631,x103632),a905),a905)),f918(f918(f917(x103631,x103632),a905),f918(x103632,a905)),x103631),f7(x103632,f918(f917(x103631,x103632),a905),a905)),f329(f329(f8(f918(x103632,f917(x103631,x103632)),f918(x103632,f918(f918(f917(x103631,x103632),a905),a905)),x103631),f329(f8(f917(x103631,x103632),f918(f918(f917(x103631,x103632),a905),a905),x103632),f331(f917(x103631,x103632)))),f257(x103631,x103632)))),x103636)),x103633),x103634)) % 166.52/166.35 [10364]P1(f329(f329(f331(f917(x103641,x103642)),f329(f329(f257(x103641,x103642),x103643),x103644)),f329(f329(f106(f918(f917(x103641,x103642),a905)),x103645),x103646)))+~P1(f329(f329(f329(f329(f106(f918(x103641,f918(x103642,a905))),f329(f329(f7(x103641,f918(f917(x103641,x103642),a905),f918(x103642,a905)),f329(f329(f8(f918(x103642,f918(f918(f917(x103641,x103642),a905),a905)),f918(f918(f917(x103641,x103642),a905),f918(x103642,a905)),x103641),f7(x103642,f918(f917(x103641,x103642),a905),a905)),f329(f329(f8(f918(x103642,f917(x103641,x103642)),f918(x103642,f918(f918(f917(x103641,x103642),a905),a905)),x103641),f329(f8(f917(x103641,x103642),f918(f918(f917(x103641,x103642),a905),a905),x103642),f331(f917(x103641,x103642)))),f257(x103641,x103642)))),x103645)),f329(f329(f7(x103641,f918(f917(x103641,x103642),a905),f918(x103642,a905)),f329(f329(f8(f918(x103642,f918(f918(f917(x103641,x103642),a905),a905)),f918(f918(f917(x103641,x103642),a905),f918(x103642,a905)),x103641),f7(x103642,f918(f917(x103641,x103642),a905),a905)),f329(f329(f8(f918(x103642,f917(x103641,x103642)),f918(x103642,f918(f918(f917(x103641,x103642),a905),a905)),x103641),f329(f8(f917(x103641,x103642),f918(f918(f917(x103641,x103642),a905),a905),x103642),f331(f917(x103641,x103642)))),f257(x103641,x103642)))),x103646)),x103643),x103644)) % 166.52/166.35 [10349]~P1(f329(f329(f331(f917(x103492,x103493)),f329(f329(f257(x103492,x103493),x103495),x103496)),f329(f329(f40(x103491,f918(f917(x103492,x103493),a905)),f247(f918(x103491,a905))),x103494)))+P1(f329(f329(f329(f329(f40(x103491,f918(x103492,f918(x103493,a905))),f247(f918(x103491,a905))),f329(f329(f8(f918(f917(x103492,x103493),a905),f918(x103492,f918(x103493,a905)),x103491),f329(f7(x103492,f918(f917(x103492,x103493),a905),f918(x103493,a905)),f329(f329(f8(f918(x103493,f918(f918(f917(x103492,x103493),a905),a905)),f918(f918(f917(x103492,x103493),a905),f918(x103493,a905)),x103492),f7(x103493,f918(f917(x103492,x103493),a905),a905)),f329(f329(f8(f918(x103493,f917(x103492,x103493)),f918(x103493,f918(f918(f917(x103492,x103493),a905),a905)),x103492),f329(f8(f917(x103492,x103493),f918(f918(f917(x103492,x103493),a905),a905),x103493),f331(f917(x103492,x103493)))),f257(x103492,x103493))))),x103494)),x103495),x103496)) % 166.52/166.35 [10350]~P1(f329(f329(f331(f917(x103502,x103503)),f329(f329(f257(x103502,x103503),x103505),x103506)),f329(f329(f41(x103501,f918(f917(x103502,x103503),a905)),f247(f918(x103501,a905))),x103504)))+P1(f329(f329(f329(f329(f41(x103501,f918(x103502,f918(x103503,a905))),f247(f918(x103501,a905))),f329(f329(f8(f918(f917(x103502,x103503),a905),f918(x103502,f918(x103503,a905)),x103501),f329(f7(x103502,f918(f917(x103502,x103503),a905),f918(x103503,a905)),f329(f329(f8(f918(x103503,f918(f918(f917(x103502,x103503),a905),a905)),f918(f918(f917(x103502,x103503),a905),f918(x103503,a905)),x103502),f7(x103503,f918(f917(x103502,x103503),a905),a905)),f329(f329(f8(f918(x103503,f917(x103502,x103503)),f918(x103503,f918(f918(f917(x103502,x103503),a905),a905)),x103502),f329(f8(f917(x103502,x103503),f918(f918(f917(x103502,x103503),a905),a905),x103503),f331(f917(x103502,x103503)))),f257(x103502,x103503))))),x103504)),x103505),x103506)) % 166.52/166.35 [10360]P1(f329(f329(f331(f917(x103601,x103602)),f329(f329(f257(x103601,x103602),x103603),x103604)),f329(f329(f40(x103605,f918(f917(x103601,x103602),a905)),f247(f918(x103605,a905))),x103606)))+~P1(f329(f329(f329(f329(f40(x103605,f918(x103601,f918(x103602,a905))),f247(f918(x103605,a905))),f329(f329(f8(f918(f917(x103601,x103602),a905),f918(x103601,f918(x103602,a905)),x103605),f329(f7(x103601,f918(f917(x103601,x103602),a905),f918(x103602,a905)),f329(f329(f8(f918(x103602,f918(f918(f917(x103601,x103602),a905),a905)),f918(f918(f917(x103601,x103602),a905),f918(x103602,a905)),x103601),f7(x103602,f918(f917(x103601,x103602),a905),a905)),f329(f329(f8(f918(x103602,f917(x103601,x103602)),f918(x103602,f918(f918(f917(x103601,x103602),a905),a905)),x103601),f329(f8(f917(x103601,x103602),f918(f918(f917(x103601,x103602),a905),a905),x103602),f331(f917(x103601,x103602)))),f257(x103601,x103602))))),x103606)),x103603),x103604)) % 166.52/166.35 [10361]P1(f329(f329(f331(f917(x103611,x103612)),f329(f329(f257(x103611,x103612),x103613),x103614)),f329(f329(f41(x103615,f918(f917(x103611,x103612),a905)),f247(f918(x103615,a905))),x103616)))+~P1(f329(f329(f329(f329(f41(x103615,f918(x103611,f918(x103612,a905))),f247(f918(x103615,a905))),f329(f329(f8(f918(f917(x103611,x103612),a905),f918(x103611,f918(x103612,a905)),x103615),f329(f7(x103611,f918(f917(x103611,x103612),a905),f918(x103612,a905)),f329(f329(f8(f918(x103612,f918(f918(f917(x103611,x103612),a905),a905)),f918(f918(f917(x103611,x103612),a905),f918(x103612,a905)),x103611),f7(x103612,f918(f917(x103611,x103612),a905),a905)),f329(f329(f8(f918(x103612,f917(x103611,x103612)),f918(x103612,f918(f918(f917(x103611,x103612),a905),a905)),x103611),f329(f8(f917(x103611,x103612),f918(f918(f917(x103611,x103612),a905),a905),x103612),f331(f917(x103611,x103612)))),f257(x103611,x103612))))),x103616)),x103613),x103614)) % 166.52/166.35 [7551]E(f329(x75511,f329(x75512,x75513)),f329(x75514,x75513))+~E(f329(f74(x75515,x75516,x75517,x75511),x75512),x75514) % 166.52/166.35 [9702]E(x97021,x97022)+E(f76(x97023,x97024,f76(x97023,x97024,x97025,x97021,x97026),x97022,x97027),f76(x97023,x97024,f76(x97023,x97024,x97025,x97022,x97027),x97021,x97026)) % 166.52/166.35 [9795]~P27(x97953,x97954,x97951,x97955,x97956,x97957)+E(f329(f329(x97951,x97952),x97952),x97952) % 166.52/166.35 [6114]~E(f329(f329(f157(x61141,x61145),x61146),x61142),f329(f329(f157(x61143,x61145),x61147),x61144))+E(f329(f192(f911(x61141)),x61142),f329(f192(f911(x61143)),x61144)) % 166.52/166.35 [8605]E(f329(x86051,f329(x86052,x86053)),f329(x86054,x86053))+~E(f329(f74(x86055,x86056,x86057,x86051),x86052),f329(f74(x86056,x86056,x86057,f33(x86056)),x86054)) % 166.52/166.35 [8944]~P40(x89444,x89445,x89441,f329(f329(f154(x89444),x89442),x89446),f329(f329(f154(x89445),x89443),x89447))+P1(f329(f329(x89441,x89442),x89443)) % 166.52/166.35 [9337]P40(x93371,x93372,x93373,x93374,x93375)+~P40(x93371,x93372,x93373,f329(f329(f154(x93371),x93376),x93374),f329(f329(f154(x93372),x93377),x93375)) % 166.52/166.35 [9957]P1(f329(f329(x99571,x99572),f541(x99573,x99572,x99574,x99571)))+~P1(f329(f329(f258(x99575,x99576,x99577,x99571,x99574),x99572),x99573)) % 166.52/166.35 [9979]P1(f329(f329(x99791,f541(x99792,x99793,x99791,x99794)),x99792))+~P1(f329(f329(f258(x99795,x99796,x99797,x99794,x99791),x99793),x99792)) % 166.52/166.35 [6160]E(x61601,x61602)+~E(f329(f329(f329(f93(x61603),x61604),x61605),x61601),f329(f329(f329(f93(x61603),x61606),x61607),x61602)) % 166.52/166.35 [6161]E(x61611,x61612)+~E(f329(f329(f329(f93(x61613),x61614),x61611),x61615),f329(f329(f329(f93(x61613),x61616),x61612),x61617)) % 166.52/166.35 [6162]E(x61621,x61622)+~E(f329(f329(f329(f93(x61623),x61621),x61624),x61625),f329(f329(f329(f93(x61623),x61622),x61626),x61627)) % 166.52/166.35 [9066]~P25(x90666,x90661,x90663,x90667)+E(f329(f74(x90661,x90661,x90662,f329(x90663,x90664)),f329(f74(x90661,x90661,x90662,f329(x90663,x90664)),x90665)),f329(f74(x90661,x90661,x90662,f329(x90663,x90664)),x90665)) % 166.52/166.35 [9440]~P40(x94403,x94402,x94404,f329(f329(f157(x94401,x94403),x94405),x94406),x94407)+P40(x94401,x94402,f329(f329(f8(x94403,f918(x94402,a905),x94401),x94404),x94405),x94406,x94407) % 166.52/166.35 [9464]P40(x94641,x94642,x94643,f329(f329(f157(x94644,x94641),x94645),x94646),x94647)+~P40(x94644,x94642,f329(f329(f8(x94641,f918(x94642,a905),x94644),x94643),x94645),x94646,x94647) % 166.52/166.35 [9065]~P1(f329(f329(f331(x90651),x90652),f329(f329(x90655,x90656),x90657)))+P1(f329(f329(f331(x90651),x90652),f329(f329(f262(x90653,x90654,f918(x90651,a905)),x90655),f329(f329(f257(x90653,x90654),x90656),x90657)))) % 166.52/166.35 [9359]P1(f329(f329(f329(x93591,x93592),x93593),x93594))+~P1(f329(f329(f329(f262(x93595,x93596,f918(x93597,a905)),x93591),f329(f329(f257(x93595,x93596),x93592),x93593)),x93594)) % 166.52/166.35 [9502]P1(f329(f329(f331(x95021),f329(f329(x95022,x95023),x95024)),f329(f312(f917(x95025,x95026),x95021,f329(f262(x95025,x95026,x95021),x95022)),x95027)))+~P1(f329(f329(f331(f917(x95025,x95026)),f329(f329(f257(x95025,x95026),x95023),x95024)),x95027)) % 166.52/166.35 [9843]P1(f329(f329(f331(f917(f911(x98431),f911(x98431))),f329(f329(f257(f911(x98431),f911(x98431)),f329(f329(f137(x98431),x98432),f329(f329(f154(x98431),x98433),x98434))),f329(f329(f137(x98431),x98432),f329(f329(f154(x98431),x98435),x98436)))),f150(x98431,x98437)))+~P1(f329(f329(f331(f917(x98431,x98431)),f329(f329(f257(x98431,x98431),x98433),x98435)),x98437)) % 166.52/166.35 [9907]~P40(x99071,x99073,x99074,x99076,f329(f329(f157(x99072,x99073),x99075),x99077))+P40(x99071,x99072,f329(f329(f7(x99071,f918(x99072,x99073),f918(x99072,a905)),f329(f329(f8(f918(x99073,a905),f918(f918(x99072,x99073),f918(x99072,a905)),x99071),f8(x99073,a905,x99072)),x99074)),x99075),x99076,x99077) % 166.52/166.35 [9983]P40(x99831,x99832,x99833,x99834,f329(f329(f157(x99835,x99832),x99836),x99837))+~P40(x99831,x99835,f329(f329(f7(x99831,f918(x99835,x99832),f918(x99835,a905)),f329(f329(f8(f918(x99832,a905),f918(f918(x99835,x99832),f918(x99835,a905)),x99831),f8(x99832,a905,x99835)),x99833)),x99836),x99834,x99837) % 166.52/166.35 [10274]P1(f329(f329(f331(x102741),f634(x102742,x102743,x102744,x102745,x102746,x102747,x102741)),x102745))+P1(f329(f329(f329(f329(f41(x102741,f918(x102747,f918(x102746,a905))),x102745),x102744),x102743),x102742)) % 166.52/166.35 [10275]P1(f329(f329(f331(x102751),f811(x102752,x102753,x102754,x102755,x102756,x102757,x102751)),x102757))+P1(f329(f329(f329(f329(f41(x102751,f918(x102753,f918(x102752,a905))),x102757),x102756),x102755),x102754)) % 166.52/166.35 [10276]P1(f329(f329(f331(x102761),f441(x102762,x102763,x102764,x102765,x102766,x102767,x102761)),x102765))+~P1(f329(f329(f329(f329(f40(x102761,f918(x102767,f918(x102766,a905))),x102765),x102764),x102763),x102762)) % 166.52/166.35 [10277]P1(f329(f329(f331(x102771),f812(x102772,x102773,x102774,x102775,x102776,x102777,x102771)),x102775))+~P1(f329(f329(f329(f329(f40(x102771,f918(x102777,f918(x102776,a905))),x102775),x102774),x102773),x102772)) % 166.52/166.35 [10309]P1(f329(f329(f329(x103091,f441(x103092,x103093,x103091,x103094,x103095,x103096,x103097)),x103093),x103092))+~P1(f329(f329(f329(f329(f40(x103097,f918(x103096,f918(x103095,a905))),x103094),x103091),x103093),x103092)) % 166.52/166.35 [10310]P1(f329(f329(f329(x103101,f812(x103102,x103103,x103101,x103104,x103105,x103106,x103107)),x103103),x103102))+~P1(f329(f329(f329(f329(f40(x103107,f918(x103106,f918(x103105,a905))),x103104),x103101),x103103),x103102)) % 166.52/166.35 [10326]~P1(f329(f329(f329(x103265,f634(x103267,x103266,x103265,x103264,x103263,x103262,x103261)),x103266),x103267))+P1(f329(f329(f329(f329(f41(x103261,f918(x103262,f918(x103263,a905))),x103264),x103265),x103266),x103267)) % 166.52/166.35 [10327]~P1(f329(f329(f329(x103275,f811(x103273,x103272,x103277,x103276,x103275,x103274,x103271)),x103276),x103277))+P1(f329(f329(f329(f329(f41(x103271,f918(x103272,f918(x103273,a905))),x103274),x103275),x103276),x103277)) % 166.52/166.35 [10348]~P1(f329(f329(f331(f917(x103481,x103483)),f329(f329(f257(x103481,x103483),x103486),x103487)),f329(f329(f291(x103481,x103482,x103483),x103484),x103485)))+P1(f329(f329(f258(x103481,x103482,x103483,f329(f329(f7(x103481,f918(f917(x103481,x103482),a905),f918(x103482,a905)),f329(f329(f8(f918(x103482,f918(f918(f917(x103481,x103482),a905),a905)),f918(f918(f917(x103481,x103482),a905),f918(x103482,a905)),x103481),f7(x103482,f918(f917(x103481,x103482),a905),a905)),f329(f329(f8(f918(x103482,f917(x103481,x103482)),f918(x103482,f918(f918(f917(x103481,x103482),a905),a905)),x103481),f329(f8(f917(x103481,x103482),f918(f918(f917(x103481,x103482),a905),a905),x103482),f331(f917(x103481,x103482)))),f257(x103481,x103482)))),x103484),f329(f329(f7(x103482,f918(f917(x103482,x103483),a905),f918(x103483,a905)),f329(f329(f8(f918(x103483,f918(f918(f917(x103482,x103483),a905),a905)),f918(f918(f917(x103482,x103483),a905),f918(x103483,a905)),x103482),f7(x103483,f918(f917(x103482,x103483),a905),a905)),f329(f329(f8(f918(x103483,f917(x103482,x103483)),f918(x103483,f918(f918(f917(x103482,x103483),a905),a905)),x103482),f329(f8(f917(x103482,x103483),f918(f918(f917(x103482,x103483),a905),a905),x103483),f331(f917(x103482,x103483)))),f257(x103482,x103483)))),x103485)),x103486),x103487)) % 166.52/166.35 [10359]P1(f329(f329(f331(f917(x103591,x103592)),f329(f329(f257(x103591,x103592),x103593),x103594)),f329(f329(f291(x103591,x103595,x103592),x103596),x103597)))+~P1(f329(f329(f258(x103591,x103595,x103592,f329(f329(f7(x103591,f918(f917(x103591,x103595),a905),f918(x103595,a905)),f329(f329(f8(f918(x103595,f918(f918(f917(x103591,x103595),a905),a905)),f918(f918(f917(x103591,x103595),a905),f918(x103595,a905)),x103591),f7(x103595,f918(f917(x103591,x103595),a905),a905)),f329(f329(f8(f918(x103595,f917(x103591,x103595)),f918(x103595,f918(f918(f917(x103591,x103595),a905),a905)),x103591),f329(f8(f917(x103591,x103595),f918(f918(f917(x103591,x103595),a905),a905),x103595),f331(f917(x103591,x103595)))),f257(x103591,x103595)))),x103596),f329(f329(f7(x103595,f918(f917(x103595,x103592),a905),f918(x103592,a905)),f329(f329(f8(f918(x103592,f918(f918(f917(x103595,x103592),a905),a905)),f918(f918(f917(x103595,x103592),a905),f918(x103592,a905)),x103595),f7(x103592,f918(f917(x103595,x103592),a905),a905)),f329(f329(f8(f918(x103592,f917(x103595,x103592)),f918(x103592,f918(f918(f917(x103595,x103592),a905),a905)),x103595),f329(f8(f917(x103595,x103592),f918(f918(f917(x103595,x103592),a905),a905),x103592),f331(f917(x103595,x103592)))),f257(x103595,x103592)))),x103597)),x103593),x103594)) % 166.52/166.35 [10286]~P145(x102862)+E(f329(f329(f6(x102861,x102862),f329(f329(f7(x102861,f918(x102863,a905),x102862),f329(f329(f8(f918(x102863,x102862),f918(f918(x102863,a905),x102862),x102861),f6(x102863,x102862)),f329(f329(f7(x102861,f918(x102863,x102862),f918(x102863,x102862)),f329(f329(f8(f918(x102862,x102862),f918(f918(x102863,x102862),f918(x102863,x102862)),x102861),f8(x102862,x102862,x102863)),f329(f329(f8(x102862,f918(x102862,x102862),x102861),f83(x102862)),x102864))),x102865))),x102866)),x102867),f329(f329(f83(x102862),f329(f329(f6(x102861,x102862),x102864),x102867)),f329(f329(f6(x102863,x102862),x102865),x102866))) % 166.52/166.35 [9391]~P24(x93917,x93911,x93913,x93918)+E(f329(f74(x93911,x93911,x93912,f329(x93913,x93914)),f329(f74(x93911,x93911,x93912,f329(x93913,x93915)),x93916)),f329(f74(x93911,x93911,x93912,f329(x93913,x93915)),f329(f74(x93911,x93911,x93912,f329(x93913,x93914)),x93916))) % 166.52/166.35 [10352]E(f329(f329(f257(x103521,x103522),f329(x103523,f567(x103524,x103525,x103523,x103526,x103527,x103528,x103522,x103521))),f329(x103525,f568(x103524,x103525,x103523,x103526,x103527,x103528,x103522,x103521))),x103528)+~P1(f329(f329(f331(f917(x103521,x103522)),x103528),f329(f312(f917(x103527,x103526),f917(x103521,x103522),f263(x103527,x103521,x103526,x103522,x103523,x103525)),x103524))) % 166.52/166.35 [10368]~P1(f329(f329(f331(f917(x103688,x103687)),x103686),f329(f312(f917(x103681,x103682),f917(x103688,x103687),f263(x103681,x103688,x103682,x103687,x103685,x103684)),x103683)))+P1(f329(f329(f331(f917(x103681,x103682)),f329(f329(f257(x103681,x103682),f567(x103683,x103684,x103685,x103682,x103681,x103686,x103687,x103688)),f568(x103683,x103684,x103685,x103682,x103681,x103686,x103687,x103688))),x103683)) % 166.52/166.35 [9832]P1(f329(f329(f331(f917(f917(x98321,x98322),f917(x98321,x98322))),f329(f329(f257(f917(x98321,x98322),f917(x98321,x98322)),f329(f329(f257(x98321,x98322),x98323),x98324)),f329(f329(f257(x98321,x98322),x98325),x98326))),f321(x98321,x98322,x98327,x98328)))+~P1(f329(f329(f331(f917(x98321,x98321)),f329(f329(f257(x98321,x98321),x98323),x98325)),x98327)) % 166.52/166.35 [10341]E(f329(f145(x103411,x103412,f329(f7(x103412,x103411,x103411),x103413),f329(x103414,x103415)),x103416),f329(x103414,f329(f145(x103417,x103412,f329(f7(x103412,x103417,x103417),x103418),x103415),x103416)))+P1(f329(f329(f331(x103412),f755(x103415,x103418,x103414,x103413,x103417,x103411,x103416,x103412)),f329(f175(x103412),x103416))) % 166.52/166.35 [10362]~E(f329(f74(x103621,x103621,x103627,f329(x103623,f755(x103625,x103628,x103624,x103623,x103627,x103621,x103626,x103622))),x103624),f329(f74(x103627,x103621,x103627,x103624),f329(x103628,f755(x103625,x103628,x103624,x103623,x103627,x103621,x103626,x103622))))+E(f329(f145(x103621,x103622,f329(f7(x103622,x103621,x103621),x103623),f329(x103624,x103625)),x103626),f329(x103624,f329(f145(x103627,x103622,f329(f7(x103622,x103627,x103627),x103628),x103625),x103626))) % 166.52/166.35 [8610]E(f329(x86101,f329(x86102,x86103)),f329(x86104,f329(x86105,x86103)))+~E(f329(f74(x86106,x86107,x86108,x86101),x86102),f329(f74(x86109,x86107,x86108,x86104),x86105)) % 166.52/166.35 [10201]P1(f329(f329(f331(f917(x102011,x102012)),f329(f329(f257(x102011,x102012),f329(x102013,x102014)),f329(x102015,x102016))),f329(f312(f917(x102017,x102018),f917(x102011,x102012),f263(x102017,x102011,x102018,x102012,x102013,x102015)),x102019)))+~P1(f329(f329(f331(f917(x102017,x102018)),f329(f329(f257(x102017,x102018),x102014),x102016)),x102019)) % 166.52/166.35 [8891]~E(f329(x88914,f329(x88915,x88916)),f329(x88919,f329(x889110,x889111)))+E(f329(f329(f74(x88911,x88912,x88913,x88914),x88915),x88916),f329(f329(f74(x88917,x88912,x88918,x88919),x889110),x889111)) % 166.52/166.35 [4682]~P112(x46821)+~P104(x46821)+E(f106(x46821),f237(x46821)) % 166.52/166.35 [4683]~P103(x46831)+~P112(x46831)+E(f115(x46831),f238(x46831)) % 166.52/166.35 [4933]~P123(x49331)+~P96(x49331)+E(f329(f77(x49331),f329(f108(x49331),a102)),f80(x49331)) % 166.52/166.35 [5223]E(x52231,f2(a1))+E(f84(a1,x52231),f329(f81(a1),f80(a1)))+P1(f329(f329(f240(a1),f2(a1)),x52231)) % 166.52/166.35 [5434]E(x54341,f2(a1))+E(f84(a1,x54341),f80(a1))+~P1(f329(f329(f240(a1),f2(a1)),x54341)) % 166.52/166.35 [7447]~P47(x74471)+P1(f329(f62(a1),x74471))+~P1(f329(f62(a910),f329(f312(a1,a910,a109),x74471))) % 166.52/166.35 [9794]E(x97941,f191(f918(f917(a910,a910),a905)))+~P1(f329(f62(f917(a910,a910)),x97941))+P1(f329(f329(f331(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),f191(f918(f917(a910,a910),a905))),x97941)),a35)) % 166.52/166.35 [9958]E(x99581,f2(a910))+E(x99581,f329(a117,f2(a910)))+~P1(f329(f329(f240(a910),x99581),f329(f108(a910),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))))) % 166.52/166.35 [10233]E(x102331,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(f37(a104),x102331),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,x102331))+E(f46(a104,x102331,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)) % 166.52/166.35 [10081]E(x100811,f2(a104))+~E(f46(a104,x100811,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(f37(a104),x100811),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,x100811)) % 166.52/166.35 [4764]~P65(x47641,x47642)+P51(x47641,x47642)+~P52(a905) % 166.52/166.35 [4692]~P109(x46921)+P35(x46921,x46922)+~E(x46922,f2(x46921)) % 166.52/166.35 [4693]~P112(x46931)+P18(x46931,x46932)+~E(x46932,f118(x46931)) % 166.52/166.35 [4702]~P123(x47021)+~E(x47022,f2(x47021))+E(f84(x47021,x47022),f2(x47021)) % 166.52/166.35 [4703]~P93(x47031)+~E(x47032,f2(x47031))+E(f84(x47031,x47032),f2(x47031)) % 166.52/166.35 [4711]~P109(x47112)+~P35(x47112,x47111)+E(x47111,f2(x47112)) % 166.52/166.35 [4756]~P123(x47562)+~E(f84(x47562,x47561),f2(x47562))+E(x47561,f2(x47562)) % 166.52/166.35 [4771]~P9(x47712)+~P9(x47711)+P9(f918(x47711,x47712)) % 166.52/166.35 [4772]~P9(x47722)+~P9(x47721)+P9(f916(x47721,x47722)) % 166.52/166.35 [4773]~P9(x47732)+~P9(x47731)+P9(f917(x47731,x47732)) % 166.52/166.35 [4774]~P11(x47742)+~P11(x47741)+P11(f198(x47741,x47742)) % 166.52/166.35 [4775]~P70(x47752)+~P70(x47751)+P70(f918(x47751,x47752)) % 166.52/166.35 [4776]~P70(x47762)+~P70(x47761)+P70(f916(x47761,x47762)) % 166.52/166.35 [4777]~P70(x47772)+~P70(x47771)+P70(f917(x47771,x47772)) % 166.52/166.35 [4778]~P107(x47782)+~P107(x47781)+P107(f917(x47781,x47782)) % 166.52/166.35 [4905]~P112(x49051)+~P18(x49051,x49052)+P18(x49051,f155(x49051,x49052)) % 166.52/166.35 [5148]~P11(x51482)+~P11(x51481)+P11(f46(a1,x51481,x51482)) % 166.52/166.35 [4713]~P78(x47131)+~E(x47132,f2(x47131))+E(f329(f81(x47131),x47132),x47132) % 166.52/166.35 [4728]~P95(x47281)+~E(x47282,f2(a1))+E(f329(f107(x47281),x47282),f2(x47281)) % 166.52/166.35 [4729]~P120(x47291)+~E(x47292,f2(a1))+E(f329(f107(x47291),x47292),f2(x47291)) % 166.52/166.35 [4753]~P79(x47531)+~E(f2(x47531),x47532)+E(f329(f81(x47531),x47532),f2(x47531)) % 166.52/166.35 [4754]~P89(x47541)+~E(x47542,f2(x47541))+E(f329(f77(x47541),x47542),f2(x47541)) % 166.52/166.35 [4755]~P79(x47551)+~E(x47552,f2(x47551))+E(f329(f81(x47551),x47552),f2(x47551)) % 166.52/166.35 [4780]~P78(x47802)+E(x47801,f2(x47802))+~E(f329(f81(x47802),x47801),x47801) % 166.52/166.35 [4786]E(x47861,f329(a109,x47862))+~E(x47861,f2(a910))+~E(x47862,f329(f105(a1),x47861)) % 166.52/166.35 [4787]E(f329(a109,x47871),x47872)+~E(x47872,f2(a910))+~E(x47871,f329(f105(a1),x47872)) % 166.52/166.35 [4791]~P95(x47912)+E(x47911,f2(a1))+~E(f329(f107(x47912),x47911),f2(x47912)) % 166.52/166.35 [4795]~P89(x47952)+E(x47951,f2(x47952))+~E(f329(f77(x47952),x47951),f2(x47952)) % 166.52/166.35 [4796]~P79(x47962)+E(x47961,f2(x47962))+~E(f329(f81(x47962),x47961),f2(x47962)) % 166.52/166.35 [4797]~P79(x47971)+E(f2(x47971),x47972)+~E(f329(f81(x47971),x47972),f2(x47971)) % 166.52/166.35 [4980]~P112(x49801)+~P18(x49801,x49802)+P18(x49801,f329(f174(x49801),x49802)) % 166.52/166.35 [5007]~P1(x50072)+~P1(x50071)+P1(f329(f329(a327,x50071),x50072)) % 166.52/166.35 [5041]~E(f80(a910),f2(a910))+E(f329(f36(x50411),x50412),f2(a910))+~P1(f329(f62(x50411),x50412)) % 166.52/166.35 [5078]~P145(x50781)+~P119(x50781)+E(f329(f329(f249(x50781),f2(x50781)),f329(a117,x50782)),f2(x50781)) % 166.52/166.35 [5116]~P112(x51161)+P18(x51161,f142(x51161,x51162))+~P1(f329(f62(x51161),x51162)) % 166.52/166.35 [5117]~P112(x51171)+P18(x51171,f748(x51172,x51171))+~P1(f329(f62(x51171),x51172)) % 166.52/166.35 [5140]~P112(x51401)+E(f329(f175(x51401),f142(x51401,x51402)),x51402)+~P1(f329(f62(x51401),x51402)) % 166.52/166.35 [5141]~P112(x51411)+E(f329(f175(x51411),f748(x51412,x51411)),x51412)+~P1(f329(f62(x51411),x51412)) % 166.52/166.35 [5169]P1(x51691)+P1(x51692)+~P1(f329(f329(a328,x51692),x51691)) % 166.52/166.35 [5182]E(x51821,f191(f918(x51822,a905)))+~E(f329(f36(x51822),x51821),f2(a910))+~P1(f329(f62(x51822),x51821)) % 166.52/166.35 [5187]P1(x51871)+~P1(x51872)+~P1(f329(f329(a332,x51872),x51871)) % 166.52/166.35 [5241]~P77(x52411)+E(f329(f77(x52411),x52412),x52412)+P1(f329(f329(f240(x52411),x52412),f2(x52411))) % 166.52/166.35 [5242]~P10(x52422)+~P46(x52422,x52422,x52421)+E(f329(x52421,f101(x52422,x52421)),f101(x52422,x52421)) % 166.52/166.35 [5243]~P10(x52432)+~P46(x52432,x52432,x52431)+E(f329(x52431,f100(x52432,x52431)),f100(x52432,x52431)) % 166.52/166.35 [5304]~P70(x53042)+~P1(f329(f57(x53042),x53041))+P1(f329(x53041,f749(x53041,x53042))) % 166.52/166.35 [5305]~P70(x53052)+~P1(f329(f57(x53052),x53051))+P1(f329(x53051,f756(x53051,x53052))) % 166.52/166.35 [5345]E(x53451,f118(x53452))+P1(f329(f140(x53452),f119(x53452,x53451)))+~P1(f329(f140(x53452),x53451)) % 166.52/166.35 [5350]~P112(x53501)+~P1(f329(f62(x53501),x53502))+P1(f329(f140(x53501),f142(x53501,x53502))) % 166.52/166.35 [5351]~P112(x53511)+~P1(f329(f62(x53511),x53512))+P1(f329(f140(x53511),f748(x53512,x53511))) % 166.52/166.35 [5356]~P120(x53561)+E(f329(f105(x53561),f329(a109,x53562)),f329(f107(x53561),x53562))+P1(f329(f329(f240(a1),x53562),f2(a1))) % 166.52/166.35 [5383]P12(x53832,x53831)+E(f329(x53831,f492(x53831)),f329(x53831,f531(x53831)))+P1(f329(f329(x53831,f492(x53831)),f531(x53831))) % 166.52/166.35 [5396]E(f329(f105(a1),f388(x53961,x53962)),x53961)+P1(f329(x53962,f329(a109,x53961)))+~P1(f329(x53962,f2(a910))) % 166.52/166.35 [5408]~P70(x54081)+~P1(f329(x54082,f762(x54082,x54081)))+P1(f329(f58(x54081),x54082)) % 166.52/166.35 [5409]~P70(x54091)+~P1(f329(x54092,f772(x54092,x54091)))+P1(f329(f58(x54091),x54092)) % 166.52/166.35 [5444]~P123(x54441)+~E(f84(x54441,x54442),f329(f81(x54441),f80(x54441)))+P1(f329(f329(f240(x54441),x54442),f2(x54441))) % 166.52/166.35 [5517]~E(x55172,f2(a1))+E(f219(x55171,x55172),f329(f329(f257(a1,a1),f2(a1)),f80(a1)))+P1(f329(f329(f240(a1),x55172),f2(a1))) % 166.52/166.35 [5518]~E(x55181,f2(a1))+E(f219(x55181,x55182),f329(f329(f257(a1,a1),f2(a1)),f80(a1)))+P1(f329(f329(f240(a1),x55182),f2(a1))) % 166.52/166.35 [5568]E(f329(f105(a1),f388(x55681,x55682)),x55681)+P1(f329(x55682,f329(a109,x55681)))+P1(f329(f329(f240(a1),x55681),f2(a1))) % 166.52/166.35 [5635]~P123(x56351)+E(f84(x56351,x56352),f329(f81(x56351),f80(x56351)))+~P1(f329(f329(f240(x56351),x56352),f2(x56351))) % 166.52/166.35 [5636]~P89(x56361)+E(f329(f77(x56361),x56362),f329(f81(x56361),x56362))+~P1(f329(f329(f239(x56361),x56362),f2(x56361))) % 166.52/166.35 [5637]~P89(x56371)+E(f329(f77(x56371),x56372),f329(f81(x56371),x56372))+~P1(f329(f329(f240(x56371),x56372),f2(x56371))) % 166.52/166.35 [5638]~P77(x56381)+E(f329(f77(x56381),x56382),f329(f81(x56381),x56382))+~P1(f329(f329(f240(x56381),x56382),f2(x56381))) % 166.52/166.35 [5738]~P1(f329(x57381,f388(x57382,x57381)))+P1(f329(x57381,f329(a109,x57382)))+~P1(f329(x57381,f2(a910))) % 166.52/166.35 [5745]E(x57451,f2(a910))+E(f329(a117,f885(x57452,x57451)),x57451)+~P1(f329(f329(f240(a910),x57451),f329(a117,x57452))) % 166.52/166.35 [5749]P12(x57491,x57492)+~E(f329(x57492,f492(x57492)),f329(x57492,f531(x57492)))+~P1(f329(f329(x57492,f492(x57492)),f531(x57492))) % 166.52/166.35 [5768]~P112(x57681)+P18(x57681,x57682)+P1(f329(f329(f239(a910),f731(x57682,x57681)),f732(x57682,x57681))) % 166.52/166.35 [5769]~P112(x57691)+P18(x57691,x57692)+P1(f329(f329(f239(a910),f739(x57692,x57691)),f743(x57692,x57691))) % 166.52/166.35 [5855]~P89(x58551)+~E(x58552,f2(x58551))+P1(f329(f329(f239(x58551),f329(f77(x58551),x58552)),f2(x58551))) % 166.52/166.35 [5943]~P1(f329(x59431,f388(x59432,x59431)))+P1(f329(x59431,f329(a109,x59432)))+P1(f329(f329(f240(a1),x59432),f2(a1))) % 166.52/166.35 [5969]~P1(f329(x59691,f329(a109,x59692)))+P1(f329(x59691,f2(a910)))+~P1(f329(f329(f240(a1),x59692),f2(a1))) % 166.52/166.35 [6313]~P123(x63131)+~P1(f329(f329(f240(x63131),x63132),f2(x63131)))+P1(f329(f329(f240(x63131),f84(x63131,x63132)),f2(x63131))) % 166.52/166.35 [6426]~P123(x64261)+P1(f329(f329(f239(x64261),f329(f107(x64261),x64262)),f2(x64261)))+~P1(f329(f329(f239(a1),x64262),f2(a1))) % 166.52/166.35 [6427]~P123(x64271)+P1(f329(f329(f240(x64271),f329(f107(x64271),x64272)),f2(x64271)))+~P1(f329(f329(f240(a1),x64272),f2(a1))) % 166.52/166.35 [6435]~P89(x64352)+E(x64351,f2(x64352))+~P1(f329(f329(f239(x64352),f329(f77(x64352),x64351)),f2(x64352))) % 166.52/166.35 [6514]~P120(x65141)+~P1(f329(f329(f331(x65141),x65142),f114(x65141)))+P1(f329(f329(f331(x65141),f329(f81(x65141),x65142)),f114(x65141))) % 166.52/166.35 [6546]~P123(x65461)+~P1(f329(f329(f240(x65461),f84(x65461,x65462)),f2(x65461)))+P1(f329(f329(f240(x65461),x65462),f2(x65461))) % 166.52/166.35 [6720]~P123(x67202)+~P1(f329(f329(f239(x67202),f329(f107(x67202),x67201)),f2(x67202)))+P1(f329(f329(f239(a1),x67201),f2(a1))) % 166.52/166.35 [6721]~P123(x67212)+~P1(f329(f329(f240(x67212),f329(f107(x67212),x67211)),f2(x67212)))+P1(f329(f329(f240(a1),x67211),f2(a1))) % 166.52/166.35 [6804]~P10(x68041)+~P46(x68041,x68041,x68042)+P1(f329(f329(f239(x68041),f329(x68042,f101(x68041,x68042))),f101(x68041,x68042))) % 166.52/166.35 [6805]~P10(x68051)+~P46(x68051,x68051,x68052)+P1(f329(f329(f239(x68051),f329(x68052,f100(x68051,x68052))),f100(x68051,x68052))) % 166.52/166.35 [7218]~P78(x72181)+~P1(f329(f329(f239(x72181),x72182),f2(x72181)))+P1(f329(f329(f239(x72181),f329(f329(f82(x72181),x72182),x72182)),f2(x72181))) % 166.52/166.35 [7219]~P78(x72191)+~P1(f329(f329(f240(x72191),x72192),f2(x72191)))+P1(f329(f329(f240(x72191),f329(f329(f82(x72191),x72192),x72192)),f2(x72191))) % 166.52/166.35 [7220]~P123(x72201)+~P1(f329(f329(f240(x72201),x72202),f2(x72201)))+P1(f329(f329(f240(x72201),f329(f329(f82(x72201),x72202),x72202)),f2(x72201))) % 166.52/166.35 [7798]~P78(x77981)+~P1(f329(f329(f239(x77981),f329(f329(f82(x77981),x77982),x77982)),f2(x77981)))+P1(f329(f329(f239(x77981),x77982),f2(x77981))) % 166.52/166.35 [7799]~P78(x77991)+~P1(f329(f329(f240(x77991),f329(f329(f82(x77991),x77992),x77992)),f2(x77991)))+P1(f329(f329(f240(x77991),x77992),f2(x77991))) % 166.52/166.35 [7800]~P123(x78001)+~P1(f329(f329(f240(x78001),f329(f329(f82(x78001),x78002),x78002)),f2(x78001)))+P1(f329(f329(f240(x78001),x78002),f2(x78001))) % 166.52/166.35 [4832]~E(x48322,f2(a910))+~E(x48321,f2(a910))+E(f329(f329(f82(a910),x48321),x48322),f2(a910)) % 166.52/166.35 [4833]~E(x48332,f80(a910))+~E(x48331,f80(a910))+E(f329(f329(f83(a910),x48331),x48332),f80(a910)) % 166.52/166.35 [4834]~E(x48342,f80(a1))+~E(x48341,f80(a1))+E(f329(f329(f83(a1),x48341),x48342),f80(a1)) % 166.52/166.35 [4889]~P68(x48892)+E(x48891,f2(x48892))+E(f329(f329(f37(x48892),x48891),x48891),f80(x48892)) % 166.52/166.35 [4890]~P126(x48902)+E(x48901,f2(x48902))+E(f329(f329(f292(x48902),x48901),x48901),f80(x48902)) % 166.52/166.35 [4891]~P127(x48912)+E(x48911,f2(x48912))+E(f329(f329(f292(x48912),x48911),x48911),f80(x48912)) % 166.52/166.35 [4909]~P78(x49091)+~E(x49092,f2(x49091))+E(f329(f329(f82(x49091),x49092),x49092),f2(x49091)) % 166.52/166.35 [4912]~P143(x49121)+~E(x49122,f80(x49121))+E(f329(f329(f83(x49121),x49122),x49122),f80(x49121)) % 166.52/166.35 [4913]~P127(x49131)+~E(x49132,f2(x49131))+E(f329(f329(f292(x49131),x49132),x49132),f2(x49131)) % 166.52/166.35 [4958]~E(x49582,f2(a910))+~E(x49581,f2(a910))+E(f329(f81(a1),f329(f105(a1),x49581)),f329(f105(a1),x49582)) % 166.52/166.35 [4977]E(x49771,f80(a910))+E(x49772,f2(a910))+~E(f329(f329(f83(a910),x49772),x49771),x49772) % 166.52/166.35 [4989]E(x49891,f2(a910))+E(x49892,f2(a910))+~E(f329(f329(f83(a910),x49892),x49891),f2(a910)) % 166.52/166.35 [5016]~E(x50162,f2(a910))+~E(x50161,f329(a117,f2(a910)))+E(f329(f329(f82(a910),x50161),x50162),f329(a117,f2(a910))) % 166.52/166.35 [5017]~E(x50171,f2(a910))+~E(x50172,f329(a117,f2(a910)))+E(f329(f329(f82(a910),x50171),x50172),f329(a117,f2(a910))) % 166.52/166.35 [5024]E(x50241,f80(a1))+E(x50242,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50241),x50242),f80(a1)) % 166.52/166.35 [5025]E(x50251,f80(a1))+E(x50252,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50252),x50251),f80(a1)) % 166.52/166.35 [5026]E(x50261,f80(a1))+E(x50261,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50262),x50261),f80(a1)) % 166.52/166.35 [5028]E(x50281,f80(a1))+E(x50281,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50281),x50282),f80(a1)) % 166.52/166.35 [5050]~P78(x50502)+E(x50501,f2(x50502))+~E(f329(f329(f82(x50502),x50501),x50501),f2(x50502)) % 166.52/166.35 [5056]~E(x50561,f329(f108(a1),a102))+~E(x50562,f329(f108(a1),a102))+E(f329(f329(f83(a1),x50561),x50562),f80(a1)) % 166.52/166.35 [5067]E(x50671,f2(a910))+E(x50672,f2(a910))+~E(f329(f329(f82(a910),x50672),x50671),f329(a117,f2(a910))) % 166.52/166.35 [5077]~P71(x50771)+~P96(x50771)+E(f329(f329(f292(x50771),x50772),f329(f108(x50771),a85)),f2(x50771)) % 166.52/166.35 [5083]~P143(x50831)+~E(x50832,f329(f81(x50831),f80(x50831)))+E(f329(f329(f83(x50831),x50832),x50832),f80(x50831)) % 166.52/166.35 [5088]~P11(x50882)+~P11(x50881)+P11(f329(f329(f82(a1),x50881),x50882)) % 166.52/166.35 [5089]~P11(x50892)+~P11(x50891)+P11(f329(f329(f83(a1),x50891),x50892)) % 166.52/166.35 [5090]~P11(x50902)+~P11(x50901)+P11(f329(f329(f37(a1),x50901),x50902)) % 166.52/166.35 [5092]~E(x50922,f2(a1))+E(x50921,f2(a1))+E(f47(x50921,x50922),f329(f329(f257(a1,a1),f2(a1)),x50921)) % 166.52/166.35 [5114]~E(x51142,f329(a117,f2(a910)))+~E(x51141,f329(a117,f2(a910)))+E(f329(f329(f83(a910),x51141),x51142),f329(a117,f2(a910))) % 166.52/166.35 [5131]E(x51311,f2(a910))+E(x51312,f329(a117,f2(a910)))+~E(f329(f329(f249(a910),x51312),x51311),f329(a117,f2(a910))) % 166.52/166.35 [5132]E(x51321,f2(a910))+E(x51321,f329(a117,f2(a910)))+~E(f329(f329(f82(a910),x51322),x51321),f329(a117,f2(a910))) % 166.52/166.35 [5133]E(x51331,f2(a910))+E(x51331,f329(a117,f2(a910)))+~E(f329(f329(f82(a910),x51331),x51332),f329(a117,f2(a910))) % 166.52/166.35 [5142]~P71(x51421)+~P96(x51421)+E(f329(f329(f292(x51421),x51422),f329(f108(x51421),a102)),f329(f81(x51421),x51422)) % 166.52/166.35 [5161]E(x51611,f329(a109,x51612))+~E(x51611,f2(a910))+P1(f329(f329(f239(a1),f2(a1)),x51612)) % 166.52/166.35 [5162]E(f329(a109,x51621),x51622)+~E(x51622,f2(a910))+P1(f329(f329(f239(a1),f2(a1)),x51621)) % 166.52/166.35 [5178]E(x51781,f329(a117,f2(a910)))+E(x51782,f329(a117,f2(a910)))+~E(f329(f329(f82(a910),x51781),x51782),f329(a117,f2(a910))) % 166.52/166.35 [5189]~E(x51891,f329(a109,x51892))+E(x51891,f2(a910))+P1(f329(f329(f239(a1),f2(a1)),x51892)) % 166.52/166.35 [5190]~E(f329(a109,x51902),x51901)+E(x51901,f2(a910))+P1(f329(f329(f239(a1),f2(a1)),x51902)) % 166.52/166.35 [5216]~P2(x52161)+E(f329(f64(x52161,f115(x52161)),x52162),f13(x52161,x52162))+~P1(f329(f62(x52161),x52162)) % 166.52/166.35 [5217]~P2(x52171)+E(f329(f64(x52171,f106(x52171)),x52172),f10(x52171,x52172))+~P1(f329(f62(x52171),x52172)) % 166.52/166.35 [5218]~P112(x52181)+E(f329(f64(x52181,f238(x52181)),x52182),f14(x52181,x52182))+~P1(f329(f62(x52181),x52182)) % 166.52/166.35 [5219]~P112(x52191)+E(f329(f64(x52191,f237(x52191)),x52192),f15(x52191,x52192))+~P1(f329(f62(x52191),x52192)) % 166.52/166.35 [5299]E(x52991,x52992)+~E(f329(f329(f23(a910),x52992),x52991),f2(a910))+~E(f329(f329(f23(a910),x52991),x52992),f2(a910)) % 166.52/166.35 [5316]P11(x53161)+~P47(x53162)+~P1(f329(f329(f331(a1),x53161),x53162)) % 166.52/166.35 [5346]~P123(x53461)+~E(f84(x53461,x53462),f80(x53461))+P1(f329(f329(f240(x53461),f2(x53461)),x53462)) % 166.52/166.35 [5357]~P96(x53571)+E(f329(f105(x53571),f329(f108(a910),x53572)),f329(f108(x53571),x53572))+P1(f329(a196,f329(f108(a1),x53572))) % 166.52/166.35 [5362]~P51(x53621,x53622)+P52(a905)+P1(f329(f62(f917(x53621,x53621)),x53622)) % 166.52/166.35 [5436]~P112(x54361)+E(f329(f64(x54361,f237(x54361)),x54362),f11(x54361,f237(x54361),x54362))+~P1(f329(f62(x54361),x54362)) % 166.52/166.35 [5437]~P112(x54371)+E(f329(f64(x54371,f238(x54371)),x54372),f12(x54371,f238(x54371),x54372))+~P1(f329(f62(x54371),x54372)) % 166.52/166.35 [5451]E(x54511,x54512)+P1(f329(f329(f240(a910),x54512),x54511))+P1(f329(f329(f240(a910),x54511),x54512)) % 166.52/166.35 [5452]E(x54521,x54522)+P1(f329(f329(f240(a1),x54522),x54521))+P1(f329(f329(f240(a1),x54521),x54522)) % 166.52/166.35 [5504]~P96(x55041)+E(f329(f105(x55041),f329(f108(a910),x55042)),f2(x55041))+~P1(f329(a196,f329(f108(a1),x55042))) % 166.52/166.35 [5507]~E(x55072,f329(a109,x55071))+E(x55071,f329(f105(a1),x55072))+~P1(f329(f329(f239(a1),f2(a1)),x55071)) % 166.52/166.35 [5508]~E(f329(a109,x55081),x55082)+E(x55081,f329(f105(a1),x55082))+~P1(f329(f329(f239(a1),f2(a1)),x55081)) % 166.52/166.35 [5509]~E(x55091,f329(a109,x55092))+E(f329(f105(a1),x55091),x55092)+~P1(f329(f329(f239(a1),f2(a1)),x55092)) % 166.52/166.35 [5519]E(x55191,f329(a109,x55192))+~E(x55192,f329(f105(a1),x55191))+~P1(f329(f329(f239(a1),f2(a1)),x55192)) % 166.52/166.35 [5520]E(f329(a109,x55201),x55202)+~E(x55201,f329(f105(a1),x55202))+~P1(f329(f329(f239(a1),f2(a1)),x55201)) % 166.52/166.35 [5559]~P89(x55592)+E(x55591,f2(x55592))+P1(f329(f329(f240(x55592),f2(x55592)),f329(f77(x55592),x55591))) % 166.52/166.35 [5624]~P123(x56241)+E(f84(x56241,x56242),f80(x56241))+~P1(f329(f329(f240(x56241),f2(x56241)),x56242)) % 166.52/166.35 [5628]~P96(x56281)+E(f329(f105(x56281),f329(f108(a910),x56282)),f2(x56281))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x56282))) % 166.52/166.35 [5639]~P89(x56391)+E(f329(f77(x56391),x56392),x56392)+~P1(f329(f329(f239(x56391),f2(x56391)),x56392)) % 166.52/166.35 [5640]~P89(x56401)+E(f329(f77(x56401),x56402),x56402)+~P1(f329(f329(f240(x56401),f2(x56401)),x56402)) % 166.52/166.35 [5649]E(x56491,f2(a910))+~E(f142(a910,f329(f304(a910,x56492),x56491)),f118(a910))+P1(f329(f329(f239(a910),x56491),x56492)) % 166.52/166.35 [5659]~P5(x56591)+E(f329(f329(f6(x56591,x56591),f5(x56591)),f329(f175(x56591),x56592)),f329(f168(x56591),x56592))+~P1(f329(f140(x56591),x56592)) % 166.52/166.35 [5662]~P120(x56621)+E(f329(f105(x56621),f329(a109,x56622)),f329(f107(x56621),x56622))+~P1(f329(f329(f239(a1),f2(a1)),x56622)) % 166.52/166.35 [5689]E(x56891,x56892)+P1(f329(f329(f240(a910),x56891),x56892))+~P1(f329(f329(f239(a910),x56891),x56892)) % 166.52/166.35 [5690]E(x56901,x56902)+P1(f329(f329(f240(a1),x56901),x56902))+~P1(f329(f329(f239(a1),x56901),x56902)) % 166.52/166.35 [5693]E(x56931,f80(a1))+~E(f329(f329(f83(a1),x56932),x56931),f80(a1))+~P1(f329(f329(f240(a1),f2(a1)),x56932)) % 166.52/166.35 [5694]E(x56941,f80(a1))+~E(f329(f329(f83(a1),x56941),x56942),f80(a1))+~P1(f329(f329(f240(a1),f2(a1)),x56941)) % 166.52/166.35 [5735]~P47(x57352)+P1(f329(f329(f239(a1),f2(a1)),x57351))+~P1(f329(f329(f331(a1),x57351),x57352)) % 166.52/166.35 [5755]~P65(x57551,x57552)+P43(x57551,x57552)+~P1(f329(f62(f917(x57551,x57551)),x57552)) % 166.52/166.35 [5757]~P65(x57571,x57572)+P51(x57571,x57572)+~P1(f329(f62(f917(x57571,x57571)),x57572)) % 166.52/166.35 [5799]E(x57991,f191(f918(x57992,a905)))+~P1(f329(f62(x57992),x57991))+P1(f329(f329(f240(a910),f2(a910)),f329(f36(x57992),x57991))) % 166.52/166.35 [5826]~P1(f329(x58261,x58262))+P1(f329(x58261,f2(a910)))+P1(f329(f329(f240(a910),f890(x58262,x58261)),x58262)) % 166.52/166.35 [5849]E(x58491,f2(a910))+~E(f329(f168(a910),x58492),f2(a910))+~P1(f329(f329(f331(a910),x58491),f329(f175(a910),x58492))) % 166.52/166.35 [5915]E(x59151,x59152)+~P1(f329(f329(f239(a910),x59152),x59151))+~P1(f329(f329(f239(a910),x59151),x59152)) % 166.52/166.35 [5916]E(x59161,x59162)+~P1(f329(f329(f239(a1),x59162),x59161))+~P1(f329(f329(f239(a1),x59161),x59162)) % 166.52/166.35 [5918]E(f329(f36(x59181),x59182),f2(a910))+~P1(f329(f62(x59181),x59182))+P1(f329(f329(f331(x59181),f449(x59182,x59181)),x59182)) % 166.52/166.35 [5927]E(f51(x59271,x59272),f47(x59271,x59272))+P1(f329(f329(f239(a1),f2(a1)),x59271))+~P1(f329(f329(f240(a1),f2(a1)),x59272)) % 166.52/166.35 [5956]~P1(f329(x59561,f387(x59561)))+P1(f329(x59561,f329(a109,x59562)))+~P1(f329(f329(f239(a1),f2(a1)),x59562)) % 166.52/166.35 [5959]P1(f329(f329(f239(a910),x59591),f868(x59592)))+~P1(f329(f62(a910),x59592))+~P1(f329(f329(f331(a910),x59591),x59592)) % 166.52/166.35 [5960]P1(f329(f329(f240(a910),x59601),f883(x59602)))+~P1(f329(f62(a910),x59602))+~P1(f329(f329(f331(a910),x59601),x59602)) % 166.52/166.35 [5990]E(x59901,x59902)+~P1(f329(f329(f240(a910),x59901),f329(a117,x59902)))+P1(f329(f329(f240(a910),x59901),x59902)) % 166.52/166.35 [6022]E(x60221,f329(a117,x60222))+~P1(f329(f329(f239(a910),x60221),f329(a117,x60222)))+P1(f329(f329(f239(a910),x60221),x60222)) % 166.52/166.35 [6038]P1(f329(x60381,f389(x60381)))+~P1(f329(x60381,f329(a109,x60382)))+~P1(f329(f329(f239(a1),f2(a1)),x60382)) % 166.52/166.35 [6052]~P1(f329(x60521,x60522))+~P1(f329(f329(f239(a1),f2(a1)),x60522))+P1(f329(x60521,f329(f105(a1),f350(x60521)))) % 166.52/166.35 [6064]~P89(x60642)+~E(x60641,f2(x60642))+~P1(f329(f329(f240(x60642),f2(x60642)),f329(f77(x60642),x60641))) % 166.52/166.35 [6090]~P65(x60901,x60902)+P43(x60901,f329(f289(x60901,x60901),x60902))+~P1(f329(f62(f917(x60901,x60901)),x60902)) % 166.52/166.35 [6100]~P96(x61001)+E(f329(f105(x61001),f329(f108(a910),x61002)),f329(f108(x61001),x61002))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x61002))) % 166.52/166.35 [6104]E(f329(a117,x61041),x61042)+~P1(f329(f329(f240(a910),x61041),x61042))+P1(f329(f329(f240(a910),f329(a117,x61041)),x61042)) % 166.52/166.35 [6120]E(f329(f329(f37(a1),x61201),x61202),f2(a1))+~P1(f329(f329(f239(a1),x61201),f2(a1)))+~P1(f329(f329(f240(a1),x61202),x61201)) % 166.52/166.35 [6130]E(f46(a1,x61301,x61302),x61301)+~P1(f329(f329(f239(a1),x61301),f2(a1)))+~P1(f329(f329(f240(a1),x61302),x61301)) % 166.52/166.35 [6144]E(f48(x61441,x61442),f47(x61441,x61442))+~P1(f329(f329(f239(a1),f2(a1)),x61441))+~P1(f329(f329(f239(a1),f2(a1)),x61442)) % 166.52/166.35 [6154]E(f329(f329(f37(a1),x61541),x61542),f2(a1))+~P1(f329(f329(f239(a1),f2(a1)),x61541))+~P1(f329(f329(f240(a1),x61541),x61542)) % 166.52/166.35 [6166]E(f46(a910,f329(f108(a910),x61661),f329(f108(a910),x61662)),f329(f108(a910),x61661))+P1(f329(a196,f329(f108(a1),x61661)))+~P1(f329(a196,f329(f108(a1),x61662))) % 166.52/166.35 [6168]E(f46(a1,x61681,x61682),x61681)+~P1(f329(f329(f239(a1),f2(a1)),x61681))+~P1(f329(f329(f240(a1),x61681),x61682)) % 166.52/166.35 [6169]E(x61691,x61692)+~P1(f329(f329(f240(a910),x61691),f329(a117,x61692)))+~P1(f329(f329(f239(a910),x61692),x61691)) % 166.52/166.35 [6183]~P78(x61831)+~P1(f329(f329(f239(x61831),x61832),f2(x61831)))+P1(f329(f329(f239(x61831),x61832),f329(f81(x61831),x61832))) % 166.52/166.35 [6184]~P123(x61841)+~P1(f329(f329(f240(x61841),x61842),f2(x61841)))+P1(f329(f329(f240(x61841),x61842),f329(f81(x61841),x61842))) % 166.52/166.35 [6194]~P10(x61941)+E(f329(f329(f65(x61941,x61941,f106(x61941)),f247(x61941)),x61942),f39(x61941,x61942))+~P1(f329(f62(x61941),x61942)) % 166.52/166.35 [6195]~P10(x61951)+E(f329(f329(f65(x61951,x61951,f115(x61951)),f191(x61951)),x61952),f38(x61951,x61952))+~P1(f329(f62(x61951),x61952)) % 166.52/166.35 [6212]~P123(x62121)+~P1(f329(f329(f239(a1),f2(a1)),x62122))+P1(f329(f329(f239(x62121),f2(x62121)),f329(f107(x62121),x62122))) % 166.52/166.35 [6213]~P122(x62131)+~P1(f329(f329(f240(a910),f2(a910)),x62132))+P1(f329(f329(f240(x62131),f2(x62131)),f329(f105(x62131),x62132))) % 166.52/166.35 [6214]~P123(x62141)+~P1(f329(f329(f240(a1),f2(a1)),x62142))+P1(f329(f329(f240(x62141),f2(x62141)),f329(f107(x62141),x62142))) % 166.52/166.35 [6217]~P11(x62172)+~P11(x62171)+E(f329(f312(a910,a1,f105(a1)),f305(a910,f329(a109,x62171),f329(a109,x62172))),f305(a1,x62171,x62172)) % 166.52/166.35 [6223]P1(f329(x62231,x62232))+~P1(f329(f329(f239(a1),f2(a1)),x62232))+~P1(f329(x62231,f329(f105(a1),f351(x62231)))) % 166.52/166.35 [6253]E(f329(f329(f82(a910),f329(f108(a910),x62531)),f329(f108(a910),x62532)),f329(f108(a910),x62531))+P1(f329(f329(f240(a1),x62531),a85))+~P1(f329(f329(f240(a1),x62532),a85)) % 166.52/166.35 [6257]~P123(x62571)+P1(f329(f329(f240(x62571),f2(x62571)),f84(x62571,x62572)))+~P1(f329(f329(f240(x62571),f2(x62571)),x62572)) % 166.52/166.35 [6268]~P86(x62681)+~P1(f329(f329(f239(x62681),x62682),f2(x62681)))+P1(f329(f329(f239(x62681),f2(x62681)),f329(f81(x62681),x62682))) % 166.52/166.35 [6269]~P86(x62691)+~P1(f329(f329(f240(x62691),x62692),f2(x62691)))+P1(f329(f329(f240(x62691),f2(x62691)),f329(f81(x62691),x62692))) % 166.52/166.35 [6272]E(x62721,f247(f918(x62722,a905)))+~E(f329(f36(x62722),x62721),f329(f36(x62722),f247(f918(x62722,a905))))+~P1(f329(f62(x62722),f247(f918(x62722,a905)))) % 166.52/166.35 [6304]~P78(x63041)+P1(f329(f329(f239(x63041),x63042),f2(x63041)))+~P1(f329(f329(f239(x63041),x63042),f329(f81(x63041),x63042))) % 166.52/166.35 [6305]~P123(x63051)+P1(f329(f329(f240(x63051),x63052),f2(x63051)))+~P1(f329(f329(f240(x63051),x63052),f329(f81(x63051),x63052))) % 166.52/166.35 [6315]~P96(x63151)+P1(f329(f329(f331(x63151),f329(f108(x63151),x63152)),f189(x63151)))+~P1(f329(f329(f239(a1),a85),x63152)) % 166.52/166.35 [6344]E(x63441,f2(a910))+~P1(f329(f329(f240(a910),x63441),f329(a117,x63442)))+P1(f329(f329(f240(a910),f885(x63442,x63441)),x63442)) % 166.52/166.35 [6366]~P123(x63661)+~P1(f329(f329(f240(x63661),f2(x63661)),f84(x63661,x63662)))+P1(f329(f329(f240(x63661),f2(x63661)),x63662)) % 166.52/166.35 [6368]~E(f329(f108(a910),x63682),f329(f108(a910),x63681))+P1(f329(f329(f239(a1),f329(f108(a1),x63681)),f2(a1)))+~P1(f329(a196,f329(f108(a1),x63682))) % 166.52/166.35 [6397]E(f329(f256(a1,a1),f51(x63971,x63972)),f329(f329(f37(a1),x63971),x63972))+~P1(f329(f329(f240(a1),x63971),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x63972)) % 166.52/166.35 [6433]E(f329(f261(a1,a1),f51(x64331,x64332)),f46(a1,x64331,x64332))+~P1(f329(f329(f240(a1),x64331),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x64332)) % 166.52/166.35 [6436]~P123(x64362)+~P1(f329(f329(f239(x64362),f2(x64362)),f329(f107(x64362),x64361)))+P1(f329(f329(f239(a1),f2(a1)),x64361)) % 166.52/166.35 [6437]~P122(x64372)+~P1(f329(f329(f240(x64372),f2(x64372)),f329(f105(x64372),x64371)))+P1(f329(f329(f240(a910),f2(a910)),x64371)) % 166.52/166.35 [6438]~P123(x64382)+~P1(f329(f329(f240(x64382),f2(x64382)),f329(f107(x64382),x64381)))+P1(f329(f329(f240(a1),f2(a1)),x64381)) % 166.52/166.35 [6441]E(f329(f256(a1,a1),f48(x64411,x64412)),f329(f329(f37(a1),x64411),x64412))+~P1(f329(f329(f239(a1),f2(a1)),x64412))+~P1(f329(f329(f240(a1),f2(a1)),x64411)) % 166.52/166.35 [6456]E(f329(f261(a1,a1),f48(x64561,x64562)),f46(a1,x64561,x64562))+~P1(f329(f329(f239(a1),f2(a1)),x64562))+~P1(f329(f329(f240(a1),f2(a1)),x64561)) % 166.52/166.35 [6471]~P86(x64711)+P1(f329(f329(f239(x64711),x64712),f2(x64711)))+~P1(f329(f329(f239(x64711),f2(x64711)),f329(f81(x64711),x64712))) % 166.52/166.35 [6472]~P86(x64721)+P1(f329(f329(f240(x64721),x64722),f2(x64721)))+~P1(f329(f329(f240(x64721),f2(x64721)),f329(f81(x64721),x64722))) % 166.52/166.35 [6495]~P10(x64951)+~P46(x64951,x64951,x64952)+P1(f329(f329(f239(x64951),f101(x64951,x64952)),f329(x64952,f101(x64951,x64952)))) % 166.52/166.35 [6496]~P10(x64961)+~P46(x64961,x64961,x64962)+P1(f329(f329(f239(x64961),f100(x64961,x64962)),f329(x64962,f100(x64961,x64962)))) % 166.52/166.35 [6500]P1(f329(f50(x65001,x65002),f51(x65001,x65002)))+~P1(f329(f329(f240(a1),x65001),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x65002)) % 166.52/166.35 [6526]P1(f329(f50(x65261,x65262),f48(x65261,x65262)))+~P1(f329(f329(f239(a1),f2(a1)),x65261))+~P1(f329(f329(f240(a1),f2(a1)),x65262)) % 166.52/166.35 [6570]~P86(x65701)+P1(f329(f329(f239(x65701),f329(f81(x65701),x65702)),f2(x65701)))+~P1(f329(f329(f239(x65701),f2(x65701)),x65702)) % 166.52/166.35 [6571]~P86(x65711)+P1(f329(f329(f240(x65711),f329(f81(x65711),x65712)),f2(x65711)))+~P1(f329(f329(f240(x65711),f2(x65711)),x65712)) % 166.52/166.35 [6587]E(f329(f329(f23(a910),f329(a109,x65871)),f329(a109,x65872)),f329(a109,f198(x65871,x65872)))+~P1(f329(f329(f239(a1),f2(a1)),x65872))+~P1(f329(f329(f239(a1),f2(a1)),x65871)) % 166.52/166.35 [6604]P1(f329(f329(f239(a1),f2(a1)),f198(x66041,x66042)))+~P1(f329(f329(f239(a1),f2(a1)),x66042))+~P1(f329(f329(f239(a1),f2(a1)),x66041)) % 166.52/166.35 [6643]~P1(f329(x66431,x66432))+P1(f329(x66431,f2(a910)))+P1(f329(x66431,f329(f329(f82(a910),f890(x66432,x66431)),f80(a910)))) % 166.52/166.35 [6727]E(f329(f108(a910),x67271),f329(f108(a910),x67272))+~P1(f329(f329(f239(a1),f329(f108(a1),x67272)),f2(a1)))+~P1(f329(a196,f329(f108(a1),x67271))) % 166.52/166.35 [6737]~E(x67371,f2(a910))+~E(f697(x67372,x67371),f2(a910))+E(f329(f145(a910,a910,f82(a910),x67371),x67372),f2(a910)) % 166.52/166.35 [6761]~P1(f329(f62(x67611),f611(x67612,x67611)))+~P1(f329(f62(f918(x67611,a905)),x67612))+P1(f329(f62(x67611),f38(f918(x67611,a905),x67612))) % 166.52/166.35 [6767]E(x67671,x67672)+P1(f329(f329(f240(a1),x67671),x67672))+~P1(f329(f329(f240(a1),x67671),f329(f329(f82(a1),x67672),f80(a1)))) % 166.52/166.35 [6768]P1(f329(f329(f239(a910),f329(a109,x67681)),f329(a109,x67682)))+~P1(f329(f329(f239(a1),f2(a1)),x67682))+~P1(f329(f329(f239(a1),x67681),x67682)) % 166.52/166.35 [6769]P1(f329(f329(f239(a910),f329(a109,x67691)),f329(a109,x67692)))+~P1(f329(f329(f240(a1),f2(a1)),x67691))+~P1(f329(f329(f239(a1),x67691),x67692)) % 166.52/166.35 [6771]P1(f329(f329(f240(a910),f329(a109,x67711)),f329(a109,x67712)))+~P1(f329(f329(f239(a1),f2(a1)),x67711))+~P1(f329(f329(f240(a1),x67711),x67712)) % 166.52/166.35 [6772]P1(f329(f329(f240(a910),f329(a109,x67721)),f329(a109,x67722)))+~P1(f329(f329(f240(a1),f2(a1)),x67722))+~P1(f329(f329(f240(a1),x67721),x67722)) % 166.52/166.35 [6784]E(f46(a910,f329(a109,x67841),f329(a109,x67842)),f329(a109,f46(a1,x67841,x67842)))+~P1(f329(f329(f239(a1),f2(a1)),x67842))+~P1(f329(f329(f239(a1),f2(a1)),x67841)) % 166.52/166.35 [6808]~P86(x68081)+~P1(f329(f329(f239(x68081),f329(f81(x68081),x68082)),f2(x68081)))+P1(f329(f329(f239(x68081),f2(x68081)),x68082)) % 166.52/166.35 [6809]~P86(x68091)+~P1(f329(f329(f240(x68091),f329(f81(x68091),x68092)),f2(x68091)))+P1(f329(f329(f240(x68091),f2(x68091)),x68092)) % 166.52/166.35 [6823]~P1(f329(f329(f240(a1),a85),x68232))+~P1(f329(f329(f240(a1),x68231),x68232))+P1(f329(f329(f240(a910),f329(f108(a910),x68231)),f329(f108(a910),x68232))) % 166.52/166.35 [6912]~P1(f329(f329(f239(a1),f2(a1)),x69121))+P1(f329(f329(f240(a910),f329(a109,x69121)),x69122))+~P1(f329(f329(f240(a1),x69121),f329(f105(a1),x69122))) % 166.52/166.35 [6917]P1(f329(x69171,x69172))+~P1(f329(x69171,f329(a20,f835(x69171,x69172))))+~P1(f329(f329(f331(a910),x69172),f247(f918(a910,a905)))) % 166.52/166.35 [6928]E(x69281,f2(a1))+E(f46(a1,x69282,x69281),f2(a1))+E(f329(f329(f23(a1),f329(f81(a1),f329(f329(f37(a1),x69282),x69281))),f80(a1)),f329(f329(f37(a1),x69282),f329(f81(a1),x69281))) % 166.52/166.35 [6942]~P1(f329(f329(f239(a1),f2(a1)),x69421))+~P1(f329(f329(f240(a910),f329(a109,x69421)),x69422))+P1(f329(f329(f240(a1),x69421),f329(f105(a1),x69422))) % 166.52/166.35 [6976]~P1(f329(f329(f239(a910),f329(a109,x69761)),f329(a109,x69762)))+~P1(f329(f329(f239(a1),f2(a1)),x69762))+P1(f329(f329(f239(a1),x69761),x69762)) % 166.52/166.35 [6977]~P1(f329(f329(f239(a910),f329(a109,x69771)),f329(a109,x69772)))+~P1(f329(f329(f240(a1),f2(a1)),x69771))+P1(f329(f329(f239(a1),x69771),x69772)) % 166.52/166.35 [7005]P1(f329(f329(f239(a1),x70051),x70052))+~P1(f329(f329(f239(a910),f329(f108(a910),x70051)),f329(f108(a910),x70052)))+P1(f329(f329(f239(a1),x70051),a85)) % 166.52/166.35 [7033]P1(f329(f329(f239(a1),f2(a1)),f46(a1,x70331,x70332)))+~P1(f329(f329(f239(a1),f2(a1)),x70332))+~P1(f329(f329(f239(a1),f2(a1)),x70331)) % 166.52/166.35 [7129]P1(f329(f329(f240(a1),a85),x71291))+~P1(f329(f329(f240(a1),x71292),x71291))+~P1(f329(f329(f240(a910),f329(f108(a910),x71292)),f329(f108(a910),x71291))) % 166.52/166.35 [7181]E(f329(f329(f257(a1,a1),f329(f329(f37(a1),x71811),x71812)),f46(a1,x71811,x71812)),f51(x71811,x71812))+~P1(f329(f329(f240(a1),x71811),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x71812)) % 166.52/166.35 [7201]E(f329(f329(f257(a1,a1),f329(f329(f37(a1),x72011),x72012)),f46(a1,x72011,x72012)),f48(x72011,x72012))+~P1(f329(f329(f239(a1),f2(a1)),x72012))+~P1(f329(f329(f239(a1),f2(a1)),x72011)) % 166.52/166.35 [7252]~P99(x72522)+E(x72521,f118(x72522))+E(f329(f145(x72522,x72522,f83(x72522),f329(f144(x72522),x72521)),f329(f174(x72522),x72521)),f329(f64(x72522,f83(x72522)),f329(f175(x72522),x72521))) % 166.52/166.35 [7372]~E(x73721,f2(a910))+E(f329(f145(a910,a910,f82(a910),x73721),x73722),f2(a910))+P1(f329(f329(f331(a910),f697(x73722,x73721)),f329(f175(a910),x73722))) % 166.52/166.35 [7423]~P1(f329(f329(f239(a1),x74231),f2(a1)))+P1(f329(f329(f239(a1),f329(f329(f37(a1),x74231),x74232)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x74232)) % 166.52/166.35 [7424]~P1(f329(f329(f240(a1),x74242),f2(a1)))+P1(f329(f329(f239(a1),f329(f329(f37(a1),x74241),x74242)),f2(a1)))+~P1(f329(f329(f239(a1),f2(a1)),x74241)) % 166.52/166.35 [7425]~P1(f329(f329(f240(a1),x74252),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f37(a1),x74251),x74252)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x74251)) % 166.52/166.35 [7427]~P1(f329(f329(f240(a1),x74271),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f37(a1),x74271),x74272)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x74272)) % 166.52/166.35 [7434]P1(f329(f329(f331(f918(x74341,a905)),f611(x74342,x74341)),x74342))+~P1(f329(f62(f918(x74341,a905)),x74342))+P1(f329(f62(x74341),f38(f918(x74341,a905),x74342))) % 166.52/166.35 [7530]P30(x75301,x75301,x75302,f247(f918(x75301,a905)))+~E(f329(f312(x75301,x75301,x75302),f247(f918(x75301,a905))),f247(f918(x75301,a905)))+~P1(f329(f62(x75301),f247(f918(x75301,a905)))) % 166.52/166.35 [7653]~P30(x76531,x76531,x76532,f247(f918(x76531,a905)))+E(f329(f312(x76531,x76531,x76532),f247(f918(x76531,a905))),f247(f918(x76531,a905)))+~P1(f329(f62(x76531),f247(f918(x76531,a905)))) % 166.52/166.35 [7791]E(f329(f329(f37(a1),x77911),x77912),f329(f108(a1),a102))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x77911),x77912)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x77911)) % 166.52/166.35 [7849]~P1(f329(f329(f240(a1),x78492),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f37(a1),x78491),x78492)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x78491)) % 166.52/166.35 [7854]E(f329(f329(f82(a1),x78541),x78542),f46(a1,x78541,x78542))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x78541),x78542)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x78541)) % 166.52/166.35 [7857]P1(f329(f329(f240(a1),x78571),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f37(a1),x78571),x78572)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x78572)) % 166.52/166.35 [8571]~P112(x85711)+P18(x85711,x85712)+~P1(f329(f329(f239(x85711),f329(f329(f167(x85711),x85712),f731(x85712,x85711))),f329(f329(f167(x85711),x85712),f732(x85712,x85711)))) % 166.52/166.35 [8572]~P112(x85721)+P18(x85721,x85722)+~P1(f329(f329(f239(x85721),f329(f329(f167(x85721),x85722),f739(x85722,x85721))),f329(f329(f167(x85721),x85722),f743(x85722,x85721)))) % 166.52/166.35 [5792]E(x57921,f2(a1))+~E(f46(a1,x57922,x57921),f2(a1))+E(f329(f329(f37(a1),x57922),f329(f81(a1),x57921)),f329(f81(a1),f329(f329(f37(a1),x57922),x57921))) % 166.52/166.35 [5810]~P47(x58102)+~P47(x58101)+P47(f329(f329(f115(f918(a1,a905)),x58101),x58102)) % 166.52/166.35 [5811]~P47(x58112)+~P47(x58111)+P47(f329(f329(f106(f918(a1,a905)),x58111),x58112)) % 166.52/166.35 [5829]~P71(x58291)+~P96(x58291)+E(f329(f81(x58291),f329(f329(f292(x58291),f80(x58291)),x58292)),f329(f329(f292(x58291),f329(f108(x58291),a102)),x58292)) % 166.52/166.35 [5948]E(x59481,f2(a1))+~E(f46(a1,x59482,x59481),f2(a1))+E(f329(f329(f37(a1),f329(f81(a1),x59482)),x59481),f329(f81(a1),f329(f329(f37(a1),x59482),x59481))) % 166.52/166.35 [6084]~P112(x60841)+P18(x60841,x60842)+P1(f329(f329(f240(a910),f732(x60842,x60841)),f329(f192(f911(x60841)),x60842))) % 166.52/166.35 [6085]~P112(x60851)+P18(x60851,x60852)+P1(f329(f329(f240(a910),f743(x60852,x60851)),f329(f192(f911(x60851)),x60852))) % 166.52/166.35 [6247]~P96(x62471)+~E(f329(f108(x62471),x62472),f2(x62471))+P35(x62471,f329(f108(x62471),f329(f329(f82(a1),x62472),f329(f81(a1),a85)))) % 166.52/166.35 [6248]~P96(x62481)+~E(f329(f108(x62481),x62482),f2(x62481))+P35(x62481,f329(f108(x62481),f329(f329(f82(a1),a85),f329(f81(a1),x62482)))) % 166.52/166.35 [6250]E(f329(a52,f48(f329(f81(a1),x62501),f329(f81(a1),x62502))),f47(x62501,x62502))+P1(f329(f329(f239(a1),f2(a1)),x62501))+P1(f329(f329(f240(a1),f2(a1)),x62502)) % 166.52/166.35 [6374]~E(x63742,f2(a910))+~E(x63741,f2(a910))+P1(f329(f329(f239(a1),f329(f105(a1),x63741)),f329(f81(a1),f329(f105(a1),x63742)))) % 166.52/166.35 [6403]E(f329(f329(f82(a910),f329(f108(a910),x64031)),f329(f108(a910),x64032)),f329(f108(a910),f329(f329(f82(a1),x64031),x64032)))+P1(f329(f329(f240(a1),x64031),a85))+P1(f329(f329(f240(a1),x64032),a85)) % 166.52/166.35 [6535]~P78(x65351)+~P1(f329(f329(f239(x65351),f2(x65351)),x65352))+P1(f329(f329(f239(x65351),f329(f81(x65351),x65352)),x65352)) % 166.52/166.35 [6536]~P78(x65361)+~P1(f329(f329(f240(x65361),f2(x65361)),x65362))+P1(f329(f329(f240(x65361),f329(f81(x65361),x65362)),x65362)) % 166.52/166.35 [6713]E(f329(f329(f23(a910),f329(a109,x67131)),f329(a109,x67132)),f329(a109,f329(f329(f23(a1),x67131),x67132)))+~P1(f329(f329(f239(a1),f2(a1)),x67132))+~P1(f329(f329(f239(a1),x67132),x67131)) % 166.52/166.35 [6745]E(f329(a109,f46(a1,f329(f108(a1),x67451),f329(f108(a1),x67452))),f46(a910,f329(f108(a910),x67451),f329(f108(a910),x67452)))+P1(f329(a196,f329(f108(a1),x67451)))+P1(f329(a196,f329(f108(a1),x67452))) % 166.52/166.35 [6762]~P78(x67621)+P1(f329(f329(f239(x67621),f2(x67621)),x67622))+~P1(f329(f329(f239(x67621),f329(f81(x67621),x67622)),x67622)) % 166.52/166.35 [6763]~P78(x67631)+P1(f329(f329(f240(x67631),f2(x67631)),x67632))+~P1(f329(f329(f240(x67631),f329(f81(x67631),x67632)),x67632)) % 166.52/166.35 [6775]~P78(x67751)+~P1(f329(f329(f239(x67751),f2(x67751)),x67752))+P1(f329(f329(f239(x67751),f2(x67751)),f329(f329(f82(x67751),x67752),x67752))) % 166.52/166.35 [6778]~P78(x67781)+~P1(f329(f329(f240(x67781),f2(x67781)),x67782))+P1(f329(f329(f240(x67781),f2(x67781)),f329(f329(f82(x67781),x67782),x67782))) % 166.52/166.35 [6789]E(f329(f329(f82(a910),f329(a109,x67891)),f329(a109,x67892)),f329(a109,f329(f329(f82(a1),x67891),x67892)))+~P1(f329(f329(f239(a1),f2(a1)),x67892))+~P1(f329(f329(f239(a1),f2(a1)),x67891)) % 166.52/166.35 [6801]E(x68011,f2(a910))+P1(f329(f329(f240(a910),f2(a910)),x68012))+~P1(f329(f329(f240(a910),f2(a910)),f329(f329(f249(a910),x68012),x68011))) % 166.52/166.35 [6833]~P96(x68331)+E(f329(f108(x68331),x68332),f2(x68331))+~P35(x68331,f329(f108(x68331),f329(f329(f82(a1),a85),f329(f81(a1),x68332)))) % 166.52/166.35 [6834]~P96(x68341)+E(f329(f108(x68341),x68342),f2(x68341))+~P35(x68341,f329(f108(x68341),f329(f329(f82(a1),x68342),f329(f81(a1),a85)))) % 166.52/166.35 [6890]~P1(f329(f62(x68901),x68902))+~P1(f329(f62(x68901),f247(f918(x68901,a905))))+P1(f329(f62(x68901),f329(f81(f918(x68901,a905)),x68902))) % 166.52/166.35 [6913]~P1(f329(f329(f240(a1),f2(a1)),x69132))+~P1(f329(f329(f239(a1),x69132),x69131))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f37(a1),x69131),x69132))) % 166.52/166.35 [6914]~P1(f329(f329(f239(a1),x69141),f2(a1)))+~P1(f329(f329(f240(a1),x69142),f2(a1)))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f37(a1),x69141),x69142))) % 166.52/166.35 [6950]~P1(f329(f329(f239(a1),f2(a1)),x69502))+~P1(f329(f329(f239(a1),f2(a1)),x69501))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),x69501),x69502))) % 166.52/166.35 [6951]~P1(f329(f329(f239(a1),f2(a1)),x69512))+~P1(f329(f329(f239(a1),f2(a1)),x69511))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f83(a1),x69511),x69512))) % 166.52/166.35 [6952]~P1(f329(f329(f239(a1),f2(a1)),x69522))+~P1(f329(f329(f239(a1),f2(a1)),x69521))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f37(a1),x69521),x69522))) % 166.52/166.35 [6953]~P1(f329(f329(f239(a1),f2(a1)),x69531))+~P1(f329(f329(f240(a1),f2(a1)),x69532))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f37(a1),x69531),x69532))) % 166.52/166.35 [6954]~P1(f329(f329(f240(a910),f2(a910)),x69542))+~P1(f329(f329(f240(a910),f2(a910)),x69541))+P1(f329(f329(f240(a910),f2(a910)),f329(f329(f83(a910),x69541),x69542))) % 166.52/166.35 [7018]E(x70181,f2(a1))+E(f46(a1,x70182,x70181),f2(a1))+E(f329(f329(f23(a1),f329(f81(a1),f329(f329(f37(a1),x70182),x70181))),f80(a1)),f329(f329(f37(a1),f329(f81(a1),x70182)),x70181)) % 166.52/166.35 [7074]P1(f329(f329(f240(a910),f2(a910)),x70741))+P1(f329(f329(f240(a910),f2(a910)),x70742))+~P1(f329(f329(f240(a910),f2(a910)),f329(f329(f82(a910),x70742),x70741))) % 166.52/166.35 [7078]~P78(x70781)+P1(f329(f329(f239(x70781),f2(x70781)),x70782))+~P1(f329(f329(f239(x70781),f2(x70781)),f329(f329(f82(x70781),x70782),x70782))) % 166.52/166.35 [7079]~P78(x70791)+P1(f329(f329(f240(x70791),f2(x70791)),x70792))+~P1(f329(f329(f240(x70791),f2(x70791)),f329(f329(f82(x70791),x70792),x70792))) % 166.52/166.35 [7130]~P1(f329(f62(x71301),x71302))+P1(f329(f62(x71301),f247(f918(x71301,a905))))+~P1(f329(f62(x71301),f329(f81(f918(x71301,a905)),x71302))) % 166.52/166.35 [7193]P1(f329(f329(f239(a1),x71931),f2(a1)))+~P1(f329(f329(f240(a1),x71932),f2(a1)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f37(a1),x71931),x71932))) % 166.52/166.35 [7199]~P1(f329(f329(f240(a1),f2(a1)),x71991))+P1(f329(f329(f239(a1),x71991),x71992))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f37(a1),x71992),x71991))) % 166.52/166.35 [7200]~P1(f329(f329(f239(a1),f2(a1)),x72002))+P1(f329(f329(f239(a1),x72001),x72002))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f37(a1),x72002),x72001))) % 166.52/166.35 [7229]P1(f329(f329(f239(a1),f2(a1)),x72291))+~P1(f329(f329(f240(a1),f2(a1)),x72292))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f37(a1),x72291),x72292))) % 166.52/166.35 [7230]P1(f329(f329(f240(a1),f2(a1)),x72301))+~P1(f329(f329(f239(a1),f2(a1)),x72302))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f37(a1),x72302),x72301))) % 166.52/166.35 [7684]~P1(f329(f62(x76842),f247(f918(x76842,a905))))+~P1(f329(f62(x76841),f247(f918(x76841,a905))))+P1(f329(f62(f916(x76841,x76842)),f247(f918(f916(x76841,x76842),a905)))) % 166.52/166.35 [7685]~P1(f329(f62(x76852),f247(f918(x76852,a905))))+~P1(f329(f62(x76851),f247(f918(x76851,a905))))+P1(f329(f62(f917(x76851,x76852)),f247(f918(f917(x76851,x76852),a905)))) % 166.52/166.35 [7756]~P1(f329(f329(f240(a910),f329(a117,f2(a910))),x77561))+~P1(f329(f329(f240(a910),f329(a117,f2(a910))),x77562))+P1(f329(f329(f240(a910),x77561),f329(f329(f83(a910),x77562),x77561))) % 166.52/166.35 [7757]~P1(f329(f329(f240(a910),f329(a117,f2(a910))),x77571))+~P1(f329(f329(f240(a910),f329(a117,f2(a910))),x77572))+P1(f329(f329(f240(a910),x77571),f329(f329(f83(a910),x77571),x77572))) % 166.52/166.35 [7790]E(f329(f36(x77901),f247(f918(x77901,a905))),f329(a117,f2(a910)))+P1(f329(f62(x77902),f247(f918(x77902,a905))))+~P1(f329(f62(f918(x77902,x77901)),f247(f918(f918(x77902,x77901),a905)))) % 166.52/166.35 [7920]~P1(f329(f329(f239(a910),f329(a117,f2(a910))),x79201))+~P1(f329(f329(f239(a910),f329(a117,f2(a910))),x79202))+P1(f329(f329(f239(a910),f329(a117,f2(a910))),f329(f329(f83(a910),x79201),x79202))) % 166.52/166.35 [7921]~P1(f329(f329(f240(a910),f329(a117,f2(a910))),x79212))+~P1(f329(f329(f240(a910),f329(a117,f2(a910))),x79211))+P1(f329(f329(f240(a910),f329(a117,f2(a910))),f329(f329(f83(a910),x79211),x79212))) % 166.52/166.35 [8276]~P114(x82761)+P46(a910,x82761,x82762)+~P1(f329(f329(f239(x82761),f329(x82762,f763(x82762,x82761))),f329(x82762,f329(a117,f763(x82762,x82761))))) % 166.52/166.35 [8626]E(x86261,f118(x86262))+~P1(f329(f140(x86262),x86261))+E(f180(x86262,f329(f329(f8(a905,a905,x86262),a324),f329(f329(f7(x86262,x86262,a905),a326),f147(x86262,x86261))),x86261),f119(x86262,x86261)) % 166.52/166.35 [8723]~P47(x87232)+~P47(x87231)+E(f329(f312(a910,a1,f105(a1)),f329(f329(f115(f918(a910,a905)),f329(f312(a1,a910,a109),x87231)),f329(f312(a1,a910,a109),x87232))),f329(f329(f115(f918(a1,a905)),x87231),x87232)) % 166.52/166.35 [8724]~P47(x87242)+~P47(x87241)+E(f329(f312(a910,a1,f105(a1)),f329(f329(f106(f918(a910,a905)),f329(f312(a1,a910,a109),x87241)),f329(f312(a1,a910,a109),x87242))),f329(f329(f106(f918(a1,a905)),x87241),x87242)) % 166.52/166.35 [9384]~P96(x93841)+~E(f329(f108(x93841),x93842),f80(x93841))+P35(x93841,f329(f108(x93841),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f81(a1),x93842)))) % 166.52/166.35 [9626]~P96(x96261)+E(f329(f108(x96261),x96262),f80(x96261))+~P35(x96261,f329(f108(x96261),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f81(a1),x96262)))) % 166.52/166.35 [10366]E(x103661,f2(a1))+E(x103662,f2(a1))+E(f329(f263(a1,a1,a1,a1,f33(a1),f329(f83(a1),f84(a1,x103662))),f329(f329(f329(f99(f917(a1,a1)),f329(f329(a326,f84(a1,x103661)),f84(a1,x103662))),f54(x103661,x103662)),f329(f329(f262(a1,a1,f917(a1,a1)),f329(f329(f18(a1,f918(a1,f917(a1,a1)),f918(a1,f917(a1,a1))),f329(f329(f8(f918(a1,f918(f917(a1,a1),f917(a1,a1))),f918(f918(a1,f917(a1,a1)),f918(a1,f917(a1,a1))),a1),f18(a1,f917(a1,a1),f917(a1,a1))),f329(f329(f8(f917(a1,a1),f918(a1,f918(f917(a1,a1),f917(a1,a1))),a1),f329(f7(a1,f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),f329(f329(f8(a905,f918(f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),a1),f99(f917(a1,a1))),f329(f329(f7(a1,a1,a905),a326),f2(a1))))),f329(f329(f7(a1,a1,f917(a1,a1)),f329(f329(f8(a1,f918(a1,f917(a1,a1)),a1),f257(a1,a1)),f81(a1))),f2(a1))))),f329(f329(f7(a1,f918(a1,a1),f918(a1,f917(a1,a1))),f329(f329(f8(f918(a1,f917(a1,a1)),f918(f918(a1,a1),f918(a1,f917(a1,a1))),a1),f8(a1,f917(a1,a1),a1)),f329(f329(f8(a1,f918(a1,f917(a1,a1)),a1),f257(a1,a1)),f329(f329(f7(a1,a1,a1),f329(f329(f8(a1,f918(a1,a1),a1),f23(a1)),f81(a1))),f80(a1))))),f329(f23(a1),f329(f77(a1),x103662))))),f54(x103661,x103662)))),f47(x103661,x103662)) % 166.52/166.35 [10367]E(x103671,f2(a1))+E(x103672,f2(a1))+E(f329(f263(a1,a1,a1,a1,f33(a1),f329(f83(a1),f84(a1,x103672))),f329(f329(f329(f99(f917(a1,a1)),f329(f329(a328,f329(f329(a327,f329(f329(f240(a1),f2(a1)),x103672)),f329(f329(f239(a1),f2(a1)),x103671))),f329(f329(a327,f329(f329(f240(a1),x103672),f2(a1))),f329(f329(f240(a1),x103671),f2(a1))))),f54(x103671,x103672)),f329(f329(f262(a1,a1,f917(a1,a1)),f329(f329(f18(a1,f918(a1,f917(a1,a1)),f918(a1,f917(a1,a1))),f329(f329(f8(f918(a1,f918(f917(a1,a1),f917(a1,a1))),f918(f918(a1,f917(a1,a1)),f918(a1,f917(a1,a1))),a1),f18(a1,f917(a1,a1),f917(a1,a1))),f329(f329(f8(f917(a1,a1),f918(a1,f918(f917(a1,a1),f917(a1,a1))),a1),f329(f7(a1,f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),f329(f329(f8(a905,f918(f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),a1),f99(f917(a1,a1))),f329(f329(f7(a1,a1,a905),a326),f2(a1))))),f329(f329(f7(a1,a1,f917(a1,a1)),f329(f329(f8(a1,f918(a1,f917(a1,a1)),a1),f257(a1,a1)),f81(a1))),f2(a1))))),f329(f329(f7(a1,f918(a1,a1),f918(a1,f917(a1,a1))),f329(f329(f8(f918(a1,f917(a1,a1)),f918(f918(a1,a1),f918(a1,f917(a1,a1))),a1),f8(a1,f917(a1,a1),a1)),f329(f329(f8(a1,f918(a1,f917(a1,a1)),a1),f257(a1,a1)),f329(f329(f7(a1,a1,a1),f329(f329(f8(a1,f918(a1,a1),a1),f23(a1)),f81(a1))),f80(a1))))),f329(f23(a1),f329(f77(a1),x103672))))),f54(x103671,x103672)))),f47(x103671,x103672)) % 166.52/166.35 [5818]~P123(x58181)+~P96(x58181)+E(f329(f77(x58181),f329(f329(f249(x58181),f329(f108(x58181),a102)),x58182)),f80(x58181)) % 166.52/166.35 [6316]~P120(x63161)+~P1(f329(f329(f240(a1),x63162),f2(a1)))+E(f329(f81(x63161),f329(f105(x63161),f329(a109,f329(f81(a1),x63162)))),f329(f107(x63161),x63162)) % 166.52/166.35 [6519]P1(f329(f329(f239(a104),x65191),f80(a104)))+E(f329(f329(f82(a104),f80(a104)),f275(x65191,f329(f329(f37(a104),x65192),x65191))),f275(x65191,x65192))+P1(f329(f329(f240(a104),x65192),x65191)) % 166.52/166.35 [7118]~P95(x71181)+~P1(f329(f329(f331(x71181),x71182),f114(x71181)))+~E(f329(f329(f82(x71181),f329(f329(f82(x71181),f80(x71181)),x71182)),x71182),f2(x71181)) % 166.52/166.35 [7231]~P1(f329(f329(f239(a1),x72312),f2(a1)))+~P1(f329(f329(f240(a1),x72311),f2(a1)))+E(f329(f256(a1,a1),f329(a52,f48(f329(f81(a1),x72311),f329(f81(a1),x72312)))),f329(f329(f37(a1),x72311),x72312)) % 166.52/166.35 [7248]~P1(f329(f329(f239(a1),x72482),f2(a1)))+~P1(f329(f329(f240(a1),x72481),f2(a1)))+E(f329(f261(a1,a1),f329(a52,f48(f329(f81(a1),x72481),f329(f81(a1),x72482)))),f46(a1,x72481,x72482)) % 166.52/166.35 [7254]~P1(f329(f329(f240(a1),x72542),f2(a1)))+E(f329(f256(a1,a1),f329(a52,f51(f329(f81(a1),x72541),f329(f81(a1),x72542)))),f329(f329(f37(a1),x72541),x72542))+~P1(f329(f329(f240(a1),f2(a1)),x72541)) % 166.52/166.35 [7272]~P1(f329(f329(f240(a1),x72722),f2(a1)))+E(f329(f261(a1,a1),f329(a52,f51(f329(f81(a1),x72721),f329(f81(a1),x72722)))),f46(a1,x72721,x72722))+~P1(f329(f329(f240(a1),f2(a1)),x72721)) % 166.52/166.35 [7325]E(f329(f329(f37(a1),f329(f329(f249(a1),x73251),x73252)),x73251),f329(f329(f249(a1),x73251),f329(f329(f23(a910),x73252),f329(a117,f2(a910)))))+~P1(f329(f329(f240(a910),f2(a910)),x73252))+~P1(f329(f329(f240(a1),f2(a1)),x73251)) % 166.52/166.35 [7431]~P1(f329(f329(f240(a910),f2(a910)),x74311))+~P1(f329(f329(f240(a910),f2(a910)),x74312))+P1(f329(f329(f240(a910),f329(f329(f23(a910),x74311),x74312)),x74311)) % 166.52/166.35 [7432]~P1(f329(f329(f240(a910),f2(a910)),x74321))+~P1(f329(f329(f240(a910),f80(a910)),x74322))+P1(f329(f329(f240(a910),f329(f329(f37(a910),x74321),x74322)),x74321)) % 166.52/166.35 [7433]~P1(f329(f329(f240(a1),f2(a1)),x74331))+~P1(f329(f329(f240(a1),f80(a1)),x74332))+P1(f329(f329(f240(a1),f329(f329(f37(a1),x74331),x74332)),x74331)) % 166.52/166.35 [7580]E(x75801,f2(a910))+~E(x75802,f2(a1))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x75802)),x75801))) % 166.52/166.35 [7954]~P1(f329(x79541,x79542))+P1(f329(x79541,f2(a910)))+E(f329(a117,f243(a910,f329(f329(f8(a910,a905,a910),x79541),a117))),f243(a910,x79541)) % 166.52/166.35 [8003]~E(x80032,f118(f911(x80031)))+E(f329(f192(f911(f911(x80031))),f182(x80031,x80032)),f2(a910))+~P18(a910,f329(f171(a910),f329(f329(f157(f911(x80031),a910),f192(f911(x80031))),x80032))) % 166.52/166.35 [8263]P1(f329(x82631,x82632))+~P1(f329(x82631,f329(a112,f565(x82631,x82632))))+~P1(f329(f329(f331(f918(f917(a910,a910),a905)),x82632),a103)) % 166.52/166.35 [8280]E(x82801,f118(f911(x82802)))+E(f329(f192(f911(x82802)),f329(f329(f167(f911(x82802)),x82801),f2(a910))),f329(f192(f911(f911(x82802))),f182(x82802,x82801)))+~P18(a910,f329(f171(a910),f329(f329(f157(f911(x82802),a910),f192(f911(x82802))),x82801))) % 166.52/166.35 [8423]~P44(x84231,x84232)+~P45(x84231,x84232)+P44(x84231,f329(f329(f23(f918(f917(x84231,x84231),a905)),x84232),f309(x84231,f191(f918(f917(x84231,x84231),a905))))) % 166.52/166.35 [8990]~P1(f329(f62(x89901),f329(f267(x89901),x89902)))+~P1(f329(f62(x89901),f247(f918(x89901,a905))))+P1(f329(f62(x89901),f329(f267(x89901),f329(f329(f8(a905,a905,x89901),a324),x89902)))) % 166.52/166.35 [9059]E(f329(f329(f257(a910,a910),f329(a117,f329(f329(f37(a910),f329(f329(f23(a910),x90591),x90592)),x90592))),f46(a910,f329(f329(f23(a910),x90591),x90592),x90592)),f87(f917(a910,a910),f49(x90591,x90592)))+~P1(f329(f329(f240(a910),f2(a910)),x90592))+~P1(f329(f329(f239(a910),x90592),x90591)) % 166.52/166.35 [9351]~P1(f329(f62(x93511),f329(f267(x93511),x93512)))+P1(f329(f62(x93511),f247(f918(x93511,a905))))+~P1(f329(f62(x93511),f329(f267(x93511),f329(f329(f8(a905,a905,x93511),a324),x93512)))) % 166.52/166.35 [10065]P32(x100651,x100652)+~P43(x100651,f329(f256(f918(f917(x100651,x100651),a905),f918(f917(x100651,x100651),a905)),x100652))+~P1(f329(f329(f239(f918(f917(x100651,x100651),a905)),f329(f329(f291(x100651,x100651,x100651),f329(f256(f918(f917(x100651,x100651),a905),f918(f917(x100651,x100651),a905)),x100652)),f329(f261(f918(f917(x100651,x100651),a905),f918(f917(x100651,x100651),a905)),x100652))),f329(f256(f918(f917(x100651,x100651),a905),f918(f917(x100651,x100651),a905)),x100652))) % 166.52/166.35 [7355]~P1(f329(f329(f240(a910),f2(a910)),x73552))+P1(f329(f329(f240(a910),x73551),x73552))+E(f329(a117,f329(f329(f37(a910),f329(f329(f23(a910),x73551),x73552)),x73552)),f329(f329(f37(a910),x73551),x73552)) % 166.52/166.35 [7499]~P1(f329(f329(f240(a910),f2(a910)),x74992))+~P1(f329(f329(f239(a910),x74992),x74991))+E(f329(a117,f329(f329(f37(a910),f329(f329(f23(a910),x74991),x74992)),x74992)),f329(f329(f37(a910),x74991),x74992)) % 166.52/166.35 [8486]~P96(x84861)+~P95(x84861)+~P35(x84861,f329(f108(x84861),f329(f329(f23(a1),f329(f329(f82(a1),x84862),x84862)),a102))) % 166.52/166.35 [9251]E(x92511,f2(a910))+E(f329(f329(f262(a910,a910,f917(a910,a910)),f329(f329(f8(a910,f918(a910,f917(a910,a910)),a910),f257(a910,a910)),a117)),f87(f917(a910,a910),f49(f329(f329(f23(a910),x92512),x92511),x92511))),f87(f917(a910,a910),f49(x92512,x92511)))+P1(f329(f329(f240(a910),x92512),x92511)) % 166.52/166.35 [9436]~P44(x94361,x94362)+~P59(x94361,x94362)+P1(f329(f329(f239(f918(f917(x94361,x94361),a905)),f329(f329(f291(x94361,x94361,x94361),f329(f289(x94361,x94361),x94362)),x94362)),x94362)) % 166.52/166.35 [9688]P1(f329(x96882,f661(x96882,x96881)))+P1(f329(x96881,f661(x96882,x96881)))+E(f329(f267(a1),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f239(a1),f2(a1)))),x96881)),f329(f267(a1),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f239(a1),f2(a1)))),x96882))) % 166.52/166.35 [9692]~P1(f329(x96922,f661(x96922,x96921)))+~P1(f329(x96921,f661(x96922,x96921)))+E(f329(f267(a1),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f239(a1),f2(a1)))),x96921)),f329(f267(a1),f329(f329(f18(a1,a905,a905),f329(f329(f8(a905,f918(a905,a905),a1),a327),f329(f239(a1),f2(a1)))),x96922))) % 166.52/166.35 [7713]~P72(x77131)+~P96(x77131)+E(f329(f329(f292(x77131),x77132),f329(f108(x77131),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),x77132) % 166.52/166.35 [9383]~P96(x93831)+~E(f329(f108(x93831),x93832),f80(x93831))+P35(x93831,f329(f108(x93831),f329(f329(f82(a1),x93832),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.52/166.35 [9565]~P143(x95651)+~E(x95652,f2(x95651))+E(f329(f329(f249(x95651),x95652),f329(f108(a910),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(x95651)) % 166.52/166.35 [9566]~P143(x95661)+~E(x95662,f80(x95661))+E(f329(f329(f249(x95661),x95662),f329(f108(a910),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(x95661)) % 166.52/166.35 [9581]~P143(x95811)+~E(x95812,f329(f81(x95811),f80(x95811)))+E(f329(f329(f249(x95811),x95812),f329(f108(a910),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(x95811)) % 166.52/166.35 [9627]~P96(x96271)+E(f329(f108(x96271),x96272),f80(x96271))+~P35(x96271,f329(f108(x96271),f329(f329(f82(a1),x96272),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))) % 166.52/166.35 [10007]~P123(x100072)+E(x100071,f2(x100072))+P1(f329(f329(f240(x100072),f2(x100072)),f329(f329(f249(x100072),x100071),f329(f108(a910),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)))))) % 166.52/166.35 [10064]~P123(x100642)+~E(x100641,f2(x100642))+~P1(f329(f329(f240(x100642),f2(x100642)),f329(f329(f249(x100642),x100641),f329(f108(a910),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)))))) % 166.52/166.35 [10330]P33(a904,x103301,x103302)+~P33(a904,x103301,f846(x103301))+~P1(f329(f329(f331(f909(a904)),x103302),f329(f312(a908,f909(a904),f329(f329(f18(a908,f918(a904,f918(a906,a905)),f909(a904)),f329(f329(f18(a908,a907,f918(f918(a904,f918(a906,a905)),f909(a904))),f329(f329(f8(f918(a904,f918(a906,a905)),f918(a907,f918(f918(a904,f918(a906,a905)),f909(a904))),a908),f93(a904)),a919)),f329(f329(f8(f914(a907),a907,a908),f236(a907)),a27))),a921)),a922))) % 166.52/166.35 [10089]P1(f329(f329(f239(a1),x100891),f2(a1)))+P1(f329(f329(f240(a1),x100892),x100891))+E(f329(f44(x100891),f48(x100892,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)))),x100891))),f48(x100892,x100891)) % 166.52/166.35 [10090]~P1(f329(f329(f240(a1),f2(a1)),x100901))+P1(f329(f329(f240(a1),x100902),x100901))+E(f329(f44(x100901),f48(x100902,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)))),x100901))),f48(x100902,x100901)) % 166.52/166.35 [10091]P1(f329(f329(f239(a1),x100911),f2(a1)))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),x100912),x100911)))+E(f329(f44(x100911),f51(x100912,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)))),x100911))),f51(x100912,x100911)) % 166.52/166.35 [10092]~P1(f329(f329(f240(a1),f2(a1)),x100921))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),x100922),x100921)))+E(f329(f44(x100921),f51(x100922,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)))),x100921))),f51(x100922,x100921)) % 166.52/166.35 [10093]~P109(x100931)+~P1(f329(f329(f239(a1),f2(a1)),x100932))+E(f329(f105(x100931),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)))),x100932))),f329(f329(f82(x100931),f329(f105(x100931),f329(a109,x100932))),f329(f105(x100931),f329(a109,x100932)))) % 166.52/166.35 [10353]P33(a904,x103531,x103532)+~P1(f329(f329(f331(f909(a904)),x103532),f329(f312(a908,f909(a904),f329(f329(f18(a908,f918(a904,f918(a906,a905)),f909(a904)),f329(f329(f18(a908,a907,f918(f918(a904,f918(a906,a905)),f909(a904))),f329(f329(f8(f918(a904,f918(a906,a905)),f918(a907,f918(f918(a904,f918(a906,a905)),f909(a904))),a908),f93(a904)),a919)),f329(f329(f8(f914(a907),a907,a908),f236(a907)),a27))),a921)),a922)))+P1(f329(f329(f331(f909(a904)),f846(x103531)),f329(f329(f115(f918(f909(a904),a905)),a920),f329(f312(a908,f909(a904),f329(f329(f18(a908,f918(a904,f918(a906,a905)),f909(a904)),f329(f329(f18(a908,a907,f918(f918(a904,f918(a906,a905)),f909(a904))),f329(f329(f8(f918(a904,f918(a906,a905)),f918(a907,f918(f918(a904,f918(a906,a905)),f909(a904))),a908),f93(a904)),a919)),a26)),a921)),a922)))) % 166.52/166.35 [5149]~P148(x51491,x51492,x51493)+~E(x51493,f2(a1))+P1(f329(x51491,x51492)) % 166.52/166.35 [5278]~P112(x52781)+~P18(x52781,x52783)+P18(x52781,f173(x52781,x52782,x52783)) % 166.52/166.35 [5279]~P112(x52791)+~P18(x52791,x52793)+P18(x52791,f180(x52791,x52792,x52793)) % 166.52/166.35 [4842]~P79(x48422)+~E(x48423,f329(f81(x48422),x48421))+E(x48421,f329(f81(x48422),x48423)) % 166.52/166.35 [4844]~P79(x48441)+~E(f329(f81(x48441),x48443),x48442)+E(f329(f81(x48441),x48442),x48443) % 166.52/166.35 [4923]~P112(x49233)+E(x49231,x49232)+~E(f329(f285(x49233),x49231),f329(f285(x49233),x49232)) % 166.52/166.35 [4924]~P106(x49243)+E(x49241,x49242)+~E(f329(f105(x49243),x49241),f329(f105(x49243),x49242)) % 166.52/166.35 [4925]~P112(x49253)+E(x49251,x49252)+~E(f329(f303(x49253),x49251),f329(f303(x49253),x49252)) % 166.52/166.35 [4926]~P112(x49263)+E(x49261,x49262)+~E(f329(f286(x49263),x49261),f329(f286(x49263),x49262)) % 166.52/166.35 [4927]~P112(x49273)+E(x49271,x49272)+~E(f329(f306(x49273),x49271),f329(f306(x49273),x49272)) % 166.52/166.35 [4928]~P79(x49283)+E(x49281,x49282)+~E(f329(f81(x49283),x49281),f329(f81(x49283),x49282)) % 166.52/166.35 [4929]~P98(x49293)+E(x49291,x49292)+~E(f329(f81(x49293),x49291),f329(f81(x49293),x49292)) % 166.52/166.35 [4930]~P95(x49303)+E(x49301,x49302)+~E(f329(f107(x49303),x49301),f329(f107(x49303),x49302)) % 166.52/166.35 [5032]~P70(x50321)+~P1(f329(x50322,x50323))+P1(f329(f57(x50321),x50322)) % 166.52/166.35 [5069]~P70(x50693)+P1(f329(x50691,x50692))+~P1(f329(f58(x50693),x50691)) % 166.52/166.35 [5168]~P149(x51681,x51683,x51682)+~E(x51682,f2(a1))+P1(f329(x51681,f2(a1))) % 166.52/166.35 [5204]~P110(x52042)+~P1(f329(x52041,x52043))+P1(f329(x52041,f243(x52042,x52041))) % 166.52/166.35 [5211]~E(x52111,f2(a910))+E(f847(x52111,x52112,x52113),f191(f918(x52113,a905)))+~E(f329(f36(x52113),x52112),f329(a117,x52111)) % 166.52/166.35 [5361]~E(x53612,f2(a910))+E(f329(f256(a910,a910),x53611),f2(a910))+~P1(f329(f49(x53613,x53612),x53611)) % 166.52/166.35 [5405]P1(f329(x54051,x54052))+~E(x54053,f329(f105(a1),x54052))+~P1(f329(x54051,f329(a109,x54053))) % 166.52/166.35 [5881]~E(x58813,f2(a910))+~P1(f329(x58811,x58812))+P1(f329(x58811,f46(a910,x58812,x58813))) % 166.52/166.35 [5939]~P110(x59391)+~P1(f329(x59392,x59393))+~P1(f329(f329(f240(x59391),x59393),f243(x59391,x59392))) % 166.52/166.35 [6115]~P107(x61152)+~P107(x61151)+E(f134(x61151,x61152,f135(x61151,x61153),f135(x61152,x61153)),f135(f917(x61151,x61152),x61153)) % 166.52/166.35 [6297]~E(x62973,f2(a910))+P1(f329(x62971,x62972))+~P1(f329(x62971,f46(a910,x62972,x62973))) % 166.52/166.35 [6309]~P10(x63091)+~P1(f329(f329(f239(x63091),x63092),f329(x63093,x63092)))+P1(f329(f329(f239(x63091),x63092),f101(x63091,x63093))) % 166.52/166.35 [6975]E(x69751,f2(a910))+~P1(f329(x69752,f494(x69751,x69753,x69752)))+P1(f329(x69752,f46(a910,x69753,x69751))) % 166.52/166.35 [7084]~P10(x70841)+~P1(f329(f329(f239(x70841),x70842),f613(x70843,x70842,x70841)))+P1(f329(f329(f239(x70841),x70842),f39(x70841,x70843))) % 166.52/166.35 [7086]~P1(f329(x70861,x70862))+~P1(f329(x70861,f494(x70863,x70862,x70861)))+P1(f329(x70861,f46(a910,x70862,x70863))) % 166.52/166.35 [7187]E(x71871,f118(x71872))+E(f329(f329(f154(x71872),f711(x71873,x71871,x71872)),f715(x71873,x71871,x71872)),x71871)+~P1(f329(f329(f331(f911(x71872)),x71871),f164(x71872,x71873))) % 166.52/166.35 [7217]~P120(x72171)+~P1(f329(f329(f331(x72171),x72172),f114(x72171)))+P1(f329(f329(f331(x72171),f329(f329(f249(x72171),x72172),x72173)),f114(x72171))) % 166.52/166.35 [7548]P43(x75481,x75482)+~P1(f329(f329(f331(x75481),x75483),f610(x75482,x75481)))+P1(f329(f329(f331(x75481),f660(x75482,x75481,x75483)),f610(x75482,x75481))) % 166.52/166.35 [7818]E(x78181,f118(x78182))+~P1(f329(f329(f331(f911(x78182)),x78181),f164(x78182,x78183)))+P1(f329(f329(f331(f911(x78182)),f715(x78183,x78181,x78182)),f164(x78182,x78183))) % 166.52/166.35 [7871]E(x78711,f2(a910))+E(f329(f329(f82(a910),f329(f329(f83(a910),x78711),f495(x78711,x78712,x78713))),f494(x78711,x78712,x78713)),x78712)+P1(f329(x78713,f46(a910,x78712,x78711))) % 166.52/166.35 [7914]~P1(f329(x79143,x79142))+E(f329(f329(f82(a910),f329(f329(f83(a910),x79141),f495(x79141,x79142,x79143))),f494(x79141,x79142,x79143)),x79142)+P1(f329(x79143,f46(a910,x79142,x79141))) % 166.52/166.35 [8060]P1(f329(f329(f240(a1),x80601),f484(x80602,x80603,x80601)))+P1(f329(f329(x80603,f329(f329(f37(a1),x80602),x80601)),f46(a1,x80602,x80601)))+~P1(f329(f329(f240(a1),x80601),f2(a1))) % 166.52/166.35 [8336]P1(f329(f329(x83362,f329(f329(f37(a1),x83361),x83363)),f46(a1,x83361,x83363)))+~P1(f329(f329(f240(a1),x83363),f2(a1)))+P1(f329(f329(f239(a1),f484(x83361,x83362,x83363)),f2(a1))) % 166.52/166.35 [8521]E(f329(f329(f82(a1),f329(f329(f83(a1),x85211),f488(x85212,x85213,x85211))),f484(x85212,x85213,x85211)),x85212)+P1(f329(f329(x85213,f329(f329(f37(a1),x85212),x85211)),f46(a1,x85212,x85211)))+~P1(f329(f329(f240(a1),x85211),f2(a1))) % 166.52/166.35 [8768]~P1(f329(f329(x87681,f488(x87682,x87681,x87683)),f484(x87682,x87681,x87683)))+P1(f329(f329(x87681,f329(f329(f37(a1),x87682),x87683)),f46(a1,x87682,x87683)))+~P1(f329(f329(f240(a1),x87683),f2(a1))) % 166.52/166.35 [9003]~P112(x90031)+~P18(x90031,x90033)+P18(x90031,f152(x90031,x90031,f5(x90031),x90032,x90033)) % 166.52/166.35 [9512]~P130(x95122)+E(x95121,f2(x95122))+~P1(f329(f329(f239(x95122),f329(f329(f82(x95122),f329(f329(f83(x95122),x95123),x95123)),f329(f329(f83(x95122),x95121),x95121))),f2(x95122))) % 166.52/166.35 [9513]~P130(x95132)+E(x95131,f2(x95132))+~P1(f329(f329(f239(x95132),f329(f329(f82(x95132),f329(f329(f83(x95132),x95131),x95131)),f329(f329(f83(x95132),x95133),x95133))),f2(x95132))) % 166.52/166.35 [10298]~P123(x102981)+~P1(f329(f329(f240(x102981),x102982),f2(x102981)))+P1(f329(f329(f240(x102981),f329(f329(f249(x102981),x102982),f329(a117,f329(f329(f83(a910),f329(f108(a910),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)))),x102983)))),f2(x102981))) % 166.52/166.35 [10307]~P123(x103072)+E(x103071,f2(x103072))+~P1(f329(f329(f239(x103072),f329(f329(f82(x103072),f329(f329(f249(x103072),x103073),f329(f108(a910),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(x103072),x103071),f329(f108(a910),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(x103072))) % 166.52/166.35 [10308]~P123(x103082)+E(x103081,f2(x103082))+~P1(f329(f329(f239(x103082),f329(f329(f82(x103082),f329(f329(f249(x103082),x103081),f329(f108(a910),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(x103082),x103083),f329(f108(a910),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(x103082))) % 166.52/166.35 [4878]~E(x48782,x48783)+~P75(x48781)+E(f329(f329(f23(x48781),x48782),x48783),f2(x48781)) % 166.52/166.35 [4879]~E(x48792,x48793)+~P79(x48791)+E(f329(f329(f23(x48791),x48792),x48793),f2(x48791)) % 166.52/166.35 [4892]~P146(x48921)+~E(x48923,f2(x48921))+E(f329(f329(f82(x48921),x48922),x48923),x48922) % 166.52/166.35 [4910]~P142(x49101)+~E(x49103,f2(x49101))+E(f329(f329(f83(x49101),x49102),x49103),f2(x49101)) % 166.52/166.35 [4911]~P142(x49111)+~E(x49112,f2(x49111))+E(f329(f329(f83(x49111),x49112),x49113),f2(x49111)) % 166.52/166.35 [4932]~E(x49323,f118(x49321))+~E(x49322,f118(x49321))+E(f329(f329(f137(x49321),x49322),x49323),f118(x49321)) % 166.52/166.35 [5022]~P146(x50222)+E(x50221,f2(x50222))+~E(f329(f329(f82(x50222),x50223),x50221),x50223) % 166.52/166.35 [5023]~P79(x50231)+~E(x50232,f329(f81(x50231),x50233))+E(f329(f329(f82(x50231),x50232),x50233),f2(x50231)) % 166.52/166.35 [5030]E(x50301,f118(x50302))+E(x50303,f2(a910))+~E(f329(f329(f178(x50302),x50303),x50301),f118(x50302)) % 166.52/166.35 [5036]~P75(x50363)+E(x50361,x50362)+~E(f329(f329(f23(x50363),x50361),x50362),f2(x50363)) % 166.52/166.35 [5037]~P79(x50373)+E(x50371,x50372)+~E(f329(f329(f23(x50373),x50371),x50372),f2(x50373)) % 166.52/166.35 [5051]~P143(x50512)+E(x50511,f2(x50512))+~E(f329(f329(f249(x50512),x50511),x50513),f2(x50512)) % 166.52/166.35 [5052]~P3(x50522)+E(x50521,f191(x50522))+~E(f329(f329(f115(x50522),x50523),x50521),f191(x50522)) % 166.52/166.35 [5053]~P3(x50532)+E(x50531,f191(x50532))+~E(f329(f329(f115(x50532),x50531),x50533),f191(x50532)) % 166.52/166.35 [5054]~P102(x50542)+E(x50541,f247(x50542))+~E(f329(f329(f106(x50542),x50543),x50541),f247(x50542)) % 166.52/166.35 [5055]~P102(x50552)+E(x50551,f247(x50552))+~E(f329(f329(f106(x50552),x50551),x50553),f247(x50552)) % 166.52/166.35 [5123]~P79(x51232)+E(x51231,f329(f81(x51232),x51233))+~E(f329(f329(f82(x51232),x51231),x51233),f2(x51232)) % 166.52/166.35 [5124]~P79(x51241)+E(f329(f81(x51241),x51242),x51243)+~E(f329(f329(f82(x51241),x51242),x51243),f2(x51241)) % 166.52/166.35 [5126]~E(x51262,x51263)+~P111(x51261)+P1(f329(f329(f239(x51261),x51262),x51263)) % 166.52/166.35 [5128]~E(x51282,x51283)+~P114(x51281)+P1(f329(f329(f239(x51281),x51282),x51283)) % 166.52/166.35 [5228]~P125(x52281)+~E(x52282,f329(f81(x52281),x52283))+E(f329(f329(f83(x52281),x52282),x52282),f329(f329(f83(x52281),x52283),x52283)) % 166.52/166.35 [5236]~P112(x52361)+~P18(x52361,x52363)+P18(x52361,f329(f329(f178(x52361),x52362),x52363)) % 166.52/166.35 [5237]~P112(x52371)+~P18(x52371,x52373)+P18(x52371,f329(f329(f141(x52371),x52372),x52373)) % 166.52/166.35 [5276]E(x52761,x52762)+E(x52763,f2(a910))+~E(f329(f329(f83(a910),x52763),x52761),f329(f329(f83(a910),x52763),x52762)) % 166.52/166.35 [5277]E(x52771,x52772)+E(x52773,f2(a910))+~E(f329(f329(f83(a910),x52771),x52773),f329(f329(f83(a910),x52772),x52773)) % 166.52/166.35 [5354]~E(x53542,x53543)+~P114(x53541)+E(f305(x53541,x53542,x53543),f329(f329(f311(x53541),x53542),f191(f918(x53541,a905)))) % 166.52/166.35 [5403]~E(x54031,x54032)+~P112(x54033)+~P1(f329(f329(f240(x54033),x54031),x54032)) % 166.52/166.35 [5404]~E(x54041,x54042)+~P114(x54043)+~P1(f329(f329(f240(x54043),x54041),x54042)) % 166.52/166.35 [5416]~P114(x54161)+E(f329(f304(x54161,x54162),x54163),f191(f918(x54161,a905)))+P1(f329(f329(f240(x54161),x54162),x54163)) % 166.52/166.35 [5464]~P114(x54641)+E(f305(x54641,x54642,x54643),f191(f918(x54641,a905)))+P1(f329(f329(f239(x54641),x54642),x54643)) % 166.52/166.35 [5465]~P114(x54651)+E(f307(x54651,x54652,x54653),f191(f918(x54651,a905)))+P1(f329(f329(f240(x54651),x54652),x54653)) % 166.52/166.35 [5466]~P114(x54661)+E(f191(f918(x54661,a905)),f305(x54661,x54662,x54663))+P1(f329(f329(f239(x54661),x54662),x54663)) % 166.52/166.35 [5467]~P114(x54671)+E(f191(f918(x54671,a905)),f307(x54671,x54672,x54673))+P1(f329(f329(f240(x54671),x54672),x54673)) % 166.52/166.35 [5474]~P103(x54741)+~E(f329(f329(f115(x54741),x54742),x54743),x54743)+P1(f329(f329(f239(x54741),x54742),x54743)) % 166.52/166.35 [5475]~P104(x54751)+~E(f329(f329(f106(x54751),x54752),x54753),x54752)+P1(f329(f329(f239(x54751),x54752),x54753)) % 166.52/166.35 [5476]~P112(x54761)+~E(f329(f329(f237(x54761),x54762),x54763),x54762)+P1(f329(f329(f239(x54761),x54762),x54763)) % 166.52/166.35 [5477]~P112(x54771)+~E(f329(f329(f238(x54771),x54772),x54773),x54773)+P1(f329(f329(f239(x54771),x54772),x54773)) % 166.52/166.35 [5496]~P112(x54961)+P18(x54961,x54962)+~P18(x54961,f329(f329(f154(x54961),x54963),x54962)) % 166.52/166.35 [5497]~P112(x54971)+P18(x54971,x54972)+~P18(x54971,f329(f329(f137(x54971),x54973),x54972)) % 166.52/166.35 [5498]~P112(x54981)+P18(x54981,x54982)+~P18(x54981,f329(f329(f137(x54981),x54982),x54983)) % 166.52/166.35 [5561]~P112(x55611)+P1(f329(f329(f239(x55611),x55613),x55612))+P1(f329(f329(f239(x55611),x55612),x55613)) % 166.52/166.35 [5566]~P112(x55661)+P1(f329(f329(f240(x55661),x55663),x55662))+P1(f329(f329(f239(x55661),x55662),x55663)) % 166.52/166.35 [5604]~P103(x56041)+E(f329(f329(f115(x56041),x56042),x56043),x56042)+~P1(f329(f329(f239(x56041),x56043),x56042)) % 166.52/166.35 [5606]~P103(x56061)+E(f329(f329(f115(x56061),x56062),x56063),x56063)+~P1(f329(f329(f239(x56061),x56062),x56063)) % 166.52/166.35 [5607]~P104(x56071)+E(f329(f329(f106(x56071),x56072),x56073),x56073)+~P1(f329(f329(f239(x56071),x56073),x56072)) % 166.52/166.35 [5609]~P104(x56091)+E(f329(f329(f106(x56091),x56092),x56093),x56092)+~P1(f329(f329(f239(x56091),x56092),x56093)) % 166.52/166.35 [5610]~P112(x56101)+E(f329(f329(f237(x56101),x56102),x56103),x56103)+~P1(f329(f329(f239(x56101),x56103),x56102)) % 166.52/166.35 [5612]~P112(x56121)+E(f329(f329(f237(x56121),x56122),x56123),x56122)+~P1(f329(f329(f239(x56121),x56122),x56123)) % 166.52/166.35 [5613]~P112(x56131)+E(f329(f329(f238(x56131),x56132),x56133),x56132)+~P1(f329(f329(f239(x56131),x56133),x56132)) % 166.52/166.35 [5615]~P112(x56151)+E(f329(f329(f238(x56151),x56152),x56153),x56153)+~P1(f329(f329(f239(x56151),x56152),x56153)) % 166.52/166.35 [5622]~P126(x56222)+E(x56221,f2(x56222))+E(f329(f329(f292(x56222),f329(f81(x56222),x56223)),f329(f81(x56222),x56221)),f329(f329(f292(x56222),x56223),x56221)) % 166.52/166.35 [5673]~P114(x56731)+E(f329(f304(x56731,x56732),x56733),f191(f918(x56731,a905)))+~P1(f329(f329(f239(x56731),x56733),x56732)) % 166.52/166.35 [5706]~P114(x57061)+E(f305(x57061,x57062,x57063),f191(f918(x57061,a905)))+~P1(f329(f329(f240(x57061),x57063),x57062)) % 166.52/166.35 [5707]~P114(x57071)+E(f307(x57071,x57072,x57073),f191(f918(x57071,a905)))+~P1(f329(f329(f239(x57071),x57073),x57072)) % 166.52/166.35 [5708]~P114(x57081)+E(f308(x57081,x57082,x57083),f191(f918(x57081,a905)))+~P1(f329(f329(f239(x57081),x57083),x57082)) % 166.52/166.35 [5751]~P110(x57511)+~P1(f329(x57512,x57513))+P1(f329(f329(f239(x57511),f243(x57511,x57512)),x57513)) % 166.52/166.35 [5761]~E(f329(f329(f23(a910),x57611),x57613),x57612)+E(x57611,f329(f329(f82(a910),x57612),x57613))+~P1(f329(f329(f239(a910),x57613),x57611)) % 166.52/166.35 [5762]~E(x57621,f329(f329(f82(a910),x57623),x57622))+E(f329(f329(f23(a910),x57621),x57622),x57623)+~P1(f329(f329(f239(a910),x57622),x57621)) % 166.52/166.35 [5807]~P1(f329(x58071,x58073))+P1(f329(x58071,f886(x58071,x58072)))+~P1(f329(f329(f239(a910),x58073),x58072)) % 166.52/166.35 [5808]~P1(f329(x58081,x58083))+P1(f329(x58081,f340(x58081,x58082)))+~P1(f329(f329(f240(a910),x58083),x58082)) % 166.52/166.35 [5816]~P114(x58161)+~E(f329(f304(x58161,x58162),x58163),f191(f918(x58161,a905)))+~P1(f329(f329(f240(x58161),x58162),x58163)) % 166.52/166.35 [5821]~P111(x58211)+~P1(f329(f329(f240(x58211),x58212),x58213))+P1(f329(f329(f239(x58211),x58212),x58213)) % 166.52/166.35 [5823]~P114(x58231)+~P1(f329(f329(f240(x58231),x58232),x58233))+P1(f329(f329(f239(x58231),x58232),x58233)) % 166.52/166.35 [5930]~P114(x59301)+~E(f305(x59301,x59302,x59303),f191(f918(x59301,a905)))+~P1(f329(f329(f239(x59301),x59302),x59303)) % 166.52/166.35 [5931]~P114(x59311)+~E(f307(x59311,x59312,x59313),f191(f918(x59311,a905)))+~P1(f329(f329(f240(x59311),x59312),x59313)) % 166.52/166.35 [5932]~P114(x59321)+~E(f191(f918(x59321,a905)),f305(x59321,x59322,x59323))+~P1(f329(f329(f239(x59321),x59322),x59323)) % 166.52/166.35 [5933]~P114(x59331)+~E(f191(f918(x59331,a905)),f307(x59331,x59332,x59333))+~P1(f329(f329(f240(x59331),x59332),x59333)) % 166.52/166.35 [5946]P1(f329(x59461,x59462))+~P1(f329(x59461,f891(x59461,x59463)))+~P1(f329(f329(f239(a910),x59462),x59463)) % 166.52/166.35 [5947]P1(f329(x59471,x59472))+~P1(f329(x59471,f346(x59471,x59473)))+~P1(f329(f329(f240(a910),x59472),x59473)) % 166.52/166.35 [5955]~E(x59551,f329(a117,x59553))+P1(f329(f329(f240(a910),x59551),f329(a117,x59552)))+~P1(f329(f329(f240(a910),x59553),x59552)) % 166.52/166.35 [5973]E(x59731,x59732)+~E(f329(f329(f83(a910),x59733),x59731),f329(f329(f83(a910),x59733),x59732))+~P1(f329(f329(f240(a910),f2(a910)),x59733)) % 166.52/166.35 [6029]E(f329(x60291,f869(x60291,x60292,x60293)),f80(a910))+~E(f329(f329(f6(x60293,a910),x60291),x60292),f80(a910))+~P1(f329(f62(x60293),x60292)) % 166.52/166.35 [6044]~P10(x60441)+P1(f329(f329(f239(x60441),x60442),f38(x60441,x60443)))+~P1(f329(f329(f331(x60441),x60442),x60443)) % 166.52/166.35 [6068]~P111(x60681)+~P1(f329(f329(f240(x60681),x60683),x60682))+~P1(f329(f329(f239(x60681),x60682),x60683)) % 166.52/166.35 [6072]~P111(x60721)+~P1(f329(f329(f240(x60721),x60723),x60722))+~P1(f329(f329(f240(x60721),x60722),x60723)) % 166.52/166.35 [6075]~P112(x60751)+~P1(f329(f329(f240(x60751),x60753),x60752))+~P1(f329(f329(f239(x60751),x60752),x60753)) % 166.52/166.35 [6076]~P112(x60761)+~P1(f329(f329(f240(x60761),x60763),x60762))+~P1(f329(f329(f240(x60761),x60762),x60763)) % 166.52/166.35 [6077]~P114(x60771)+~P1(f329(f329(f240(x60771),x60773),x60772))+~P1(f329(f329(f240(x60771),x60772),x60773)) % 166.52/166.35 [6107]~E(f329(x61072,f848(x61072,x61073,x61071)),f2(a910))+E(f329(f329(f6(x61071,a910),x61072),x61073),f2(a910))+~P1(f329(f62(x61071),x61073)) % 166.52/166.35 [6108]~E(f329(x61082,f465(x61082,x61083,x61081)),f80(a910))+E(f329(f329(f9(x61081,a910),x61082),x61083),f80(a910))+~P1(f329(f62(x61081),x61083)) % 166.52/166.35 [6124]~P113(x61241)+~P1(f329(f329(f239(x61241),x61243),x61242))+P1(f329(f329(f331(x61241),x61242),f329(f286(x61241),x61243))) % 166.52/166.35 [6125]~P113(x61251)+~P1(f329(f329(f240(x61251),x61253),x61252))+P1(f329(f329(f331(x61251),x61252),f329(f306(x61251),x61253))) % 166.52/166.35 [6126]~P113(x61261)+~P1(f329(f329(f240(x61261),x61262),x61263))+P1(f329(f329(f331(x61261),x61262),f329(f285(x61261),x61263))) % 166.52/166.35 [6127]~P113(x61271)+~P1(f329(f329(f239(x61271),x61272),x61273))+P1(f329(f329(f331(x61271),x61272),f329(f303(x61271),x61273))) % 166.52/166.35 [6139]E(f329(x61391,f860(x61391,x61392,x61393)),f329(a117,f2(a910)))+~E(f329(f329(f6(x61393,a910),x61391),x61392),f329(a117,f2(a910)))+~P1(f329(f62(x61393),x61392)) % 166.52/166.35 [6224]~P10(x62241)+~P1(f329(f329(f331(x62241),x62243),x62242))+P1(f329(f329(f239(x62241),f39(x62241,x62242)),x62243)) % 166.52/166.35 [6244]~P1(f329(f329(f239(a910),x62441),x62443))+P1(f329(f329(f239(a910),x62441),x62442))+~P1(f329(f329(f239(a910),x62443),x62442)) % 166.52/166.35 [6245]~P1(f329(f329(f239(a1),x62451),x62453))+P1(f329(f329(f239(a1),x62451),x62452))+~P1(f329(f329(f239(a1),x62453),x62452)) % 166.52/166.35 [6264]~P113(x62641)+~P1(f329(f329(f331(x62641),x62643),f329(f286(x62641),x62642)))+P1(f329(f329(f239(x62641),x62642),x62643)) % 166.52/166.35 [6265]~P113(x62651)+~P1(f329(f329(f331(x62651),x62652),f329(f303(x62651),x62653)))+P1(f329(f329(f239(x62651),x62652),x62653)) % 166.52/166.35 [6266]~P113(x62661)+~P1(f329(f329(f331(x62661),x62663),f329(f306(x62661),x62662)))+P1(f329(f329(f240(x62661),x62662),x62663)) % 166.52/166.35 [6267]~P113(x62671)+~P1(f329(f329(f331(x62671),x62672),f329(f285(x62671),x62673)))+P1(f329(f329(f240(x62671),x62672),x62673)) % 166.52/166.35 [6341]~P1(f329(x63411,x63412))+P1(f329(x63411,f804(x63411)))+~P1(f329(f329(f331(x63413),x63412),f247(f918(x63413,a905)))) % 166.52/166.35 [6447]~P114(x64471)+~P46(a910,x64471,x64472)+P1(f329(f329(f239(x64471),f329(x64472,x64473)),f329(x64472,f329(a117,x64473)))) % 166.52/166.35 [6481]~P73(x64811)+P1(f329(f329(f240(x64811),f2(x64811)),f479(x64813,x64812,x64811)))+P1(f329(f329(f239(x64811),x64812),x64813)) % 166.52/166.35 [6482]~P74(x64821)+P1(f329(f329(f240(x64821),f2(x64821)),f794(x64823,x64822,x64821)))+P1(f329(f329(f239(x64821),x64822),x64823)) % 166.52/166.35 [6553]~P86(x65531)+~P1(f329(f329(f239(x65531),x65533),f329(f81(x65531),x65532)))+P1(f329(f329(f239(x65531),x65532),f329(f81(x65531),x65533))) % 166.52/166.35 [6555]~P86(x65551)+~P1(f329(f329(f240(x65551),x65553),f329(f81(x65551),x65552)))+P1(f329(f329(f240(x65551),x65552),f329(f81(x65551),x65553))) % 166.52/166.35 [6567]~P1(f329(f329(f240(a910),x65671),x65673))+~P1(f329(f329(f240(a910),x65673),x65672))+P1(f329(f329(f240(a910),f329(a117,x65671)),x65672)) % 166.52/166.35 [6592]~P122(x65921)+P1(f329(f329(f239(x65921),f329(f105(x65921),x65922)),f329(f105(x65921),x65923)))+~P1(f329(f329(f239(a910),x65922),x65923)) % 166.52/166.35 [6593]~P123(x65931)+P1(f329(f329(f239(x65931),f329(f107(x65931),x65932)),f329(f107(x65931),x65933)))+~P1(f329(f329(f239(a1),x65932),x65933)) % 166.52/166.35 [6595]~P123(x65951)+P1(f329(f329(f240(x65951),f329(f107(x65951),x65952)),f329(f107(x65951),x65953)))+~P1(f329(f329(f240(a1),x65952),x65953)) % 166.52/166.35 [6596]~P122(x65961)+P1(f329(f329(f240(x65961),f329(f105(x65961),x65962)),f329(f105(x65961),x65963)))+~P1(f329(f329(f240(a910),x65962),x65963)) % 166.52/166.35 [6602]~P112(x66021)+E(f329(f329(f115(f918(x66021,a905)),f329(f285(x66021),x66022)),f329(f304(x66021,x66022),x66023)),f329(f285(x66021),x66023))+~P1(f329(f329(f239(x66021),x66022),x66023)) % 166.52/166.35 [6634]~P86(x66341)+~P1(f329(f329(f239(x66341),x66343),x66342))+P1(f329(f329(f239(x66341),f329(f81(x66341),x66342)),f329(f81(x66341),x66343))) % 166.52/166.35 [6636]~P98(x66361)+~P1(f329(f329(f239(x66361),x66363),x66362))+P1(f329(f329(f239(x66361),f329(f81(x66361),x66362)),f329(f81(x66361),x66363))) % 166.52/166.35 [6637]~P86(x66371)+~P1(f329(f329(f240(x66371),x66373),x66372))+P1(f329(f329(f240(x66371),f329(f81(x66371),x66372)),f329(f81(x66371),x66373))) % 166.52/166.35 [6670]~P112(x66701)+E(f329(f329(f115(f918(x66701,a905)),f329(f285(x66701),x66702)),f305(x66701,x66702,x66703)),f329(f303(x66701),x66703))+~P1(f329(f329(f239(x66701),x66702),x66703)) % 166.52/166.35 [6671]~P112(x66711)+E(f329(f329(f115(f918(x66711,a905)),f329(f303(x66711),x66712)),f307(x66711,x66712,x66713)),f329(f303(x66711),x66713))+~P1(f329(f329(f239(x66711),x66712),x66713)) % 166.52/166.35 [6672]~P112(x66721)+E(f329(f329(f115(f918(x66721,a905)),f329(f303(x66721),x66722)),f308(x66721,x66722,x66723)),f329(f285(x66721),x66723))+~P1(f329(f329(f240(x66721),x66722),x66723)) % 166.52/166.35 [6708]~P112(x67081)+E(f329(f329(f115(f918(x67081,a905)),f329(f304(x67081,x67082),x67083)),f329(f286(x67081),x67083)),f329(f286(x67081),x67082))+~P1(f329(f329(f239(x67081),x67082),x67083)) % 166.52/166.35 [6774]~P10(x67741)+~P1(f329(f329(f239(x67741),f329(x67742,x67743)),x67743))+P1(f329(f329(f239(x67741),f100(x67741,x67742)),x67743)) % 166.52/166.35 [6860]~P112(x68601)+E(f329(f329(f115(f918(x68601,a905)),f305(x68601,x68602,x68603)),f329(f306(x68601),x68603)),f329(f286(x68601),x68602))+~P1(f329(f329(f239(x68601),x68602),x68603)) % 166.52/166.35 [6861]~P112(x68611)+E(f329(f329(f115(f918(x68611,a905)),f307(x68611,x68612,x68613)),f329(f306(x68611),x68613)),f329(f306(x68611),x68612))+~P1(f329(f329(f239(x68611),x68612),x68613)) % 166.52/166.35 [6862]~P112(x68621)+E(f329(f329(f115(f918(x68621,a905)),f308(x68621,x68622,x68623)),f329(f286(x68621),x68623)),f329(f306(x68621),x68622))+~P1(f329(f329(f240(x68621),x68622),x68623)) % 166.52/166.35 [6881]P1(f329(x68811,x68812))+~P1(f329(f329(f239(a910),x68812),x68813))+P1(f329(f329(f331(a910),f891(x68811,x68813)),f305(a910,f2(a910),x68813))) % 166.52/166.35 [6915]E(x69151,x69152)+~E(f329(f329(f167(x69153),x69151),f668(x69153,x69152,x69151)),f329(f329(f167(x69153),x69152),f668(x69153,x69152,x69151)))+~E(f329(f192(f911(x69153)),x69151),f329(f192(f911(x69153)),x69152)) % 166.52/166.35 [6920]~E(x69203,f329(f329(f37(a910),x69201),x69202))+~P1(f329(f329(f240(a910),f2(a910)),x69202))+P1(f329(f329(f240(a910),x69201),f329(f329(f83(a910),x69202),f329(a117,x69203)))) % 166.52/166.35 [6936]~P1(f329(x69361,x69363))+~P1(f329(f329(f239(a910),x69363),x69362))+P1(f329(f329(f331(a910),f886(x69361,x69362)),f305(a910,f2(a910),x69362))) % 166.52/166.35 [6973]~P1(f329(x69731,x69733))+P1(f329(x69731,f892(x69731,x69732)))+~P1(f329(f329(f331(a910),x69733),f305(a910,f2(a910),x69732))) % 166.52/166.35 [6991]~P122(x69913)+~P1(f329(f329(f239(x69913),f329(f105(x69913),x69911)),f329(f105(x69913),x69912)))+P1(f329(f329(f239(a910),x69911),x69912)) % 166.52/166.35 [6992]~P123(x69923)+~P1(f329(f329(f239(x69923),f329(f107(x69923),x69921)),f329(f107(x69923),x69922)))+P1(f329(f329(f239(a1),x69921),x69922)) % 166.52/166.35 [6994]~P122(x69943)+~P1(f329(f329(f240(x69943),f329(f105(x69943),x69941)),f329(f105(x69943),x69942)))+P1(f329(f329(f240(a910),x69941),x69942)) % 166.52/166.35 [6995]~P123(x69953)+~P1(f329(f329(f240(x69953),f329(f107(x69953),x69951)),f329(f107(x69953),x69952)))+P1(f329(f329(f240(a1),x69951),x69952)) % 166.52/166.35 [7012]~P122(x70121)+~P1(f329(f329(f240(x70121),f80(x70121)),x70122))+P1(f329(f329(f240(x70121),f80(x70121)),f329(f329(f249(x70121),x70122),f329(a117,x70123)))) % 166.52/166.35 [7014]~P86(x70141)+~P1(f329(f329(f239(x70141),f329(f81(x70141),x70143)),f329(f81(x70141),x70142)))+P1(f329(f329(f239(x70141),x70142),x70143)) % 166.52/166.35 [7015]~P98(x70151)+~P1(f329(f329(f239(x70151),f329(f81(x70151),x70153)),f329(f81(x70151),x70152)))+P1(f329(f329(f239(x70151),x70152),x70153)) % 166.52/166.35 [7016]~P86(x70161)+~P1(f329(f329(f240(x70161),f329(f81(x70161),x70163)),f329(f81(x70161),x70162)))+P1(f329(f329(f240(x70161),x70162),x70163)) % 166.52/166.35 [7042]P1(f329(x70421,x70422))+~P1(f329(x70421,f893(x70421,x70423)))+~P1(f329(f329(f331(a910),x70422),f305(a910,f2(a910),x70423))) % 166.52/166.35 [7061]~P73(x70611)+P1(f329(f329(f240(x70611),f479(x70613,x70612,x70611)),f80(x70611)))+P1(f329(f329(f239(x70611),x70612),x70613)) % 166.52/166.35 [7081]~E(f46(a910,x70813,x70812),f46(a910,x70811,x70812))+E(f329(f329(f82(a910),x70811),f329(f329(f83(a910),x70812),f496(x70811,x70812,x70813))),x70813)+~P1(f329(f329(f239(a910),x70811),x70813)) % 166.52/166.35 [7135]E(f329(f329(f6(x71351,a910),x71352),x71353),f2(a910))+~P1(f329(f62(x71351),x71353))+P1(f329(f329(f331(x71351),f848(x71352,x71353,x71351)),x71353)) % 166.52/166.35 [7136]E(f329(f329(f9(x71361,a910),x71362),x71363),f80(a910))+~P1(f329(f62(x71361),x71363))+P1(f329(f329(f331(x71361),f465(x71362,x71363,x71361)),x71363)) % 166.52/166.35 [7158]~P112(x71581)+~P1(f329(f329(f239(x71581),x71582),x71583))+P1(f329(f329(f239(f918(x71581,a905)),f329(f285(x71581),x71582)),f329(f285(x71581),x71583))) % 166.52/166.35 [7159]~P114(x71591)+~P1(f329(f329(f239(x71591),x71592),x71593))+P1(f329(f329(f239(f918(x71591,a905)),f329(f303(x71591),x71592)),f329(f303(x71591),x71593))) % 166.52/166.35 [7160]~P114(x71601)+~P1(f329(f329(f239(x71601),x71603),x71602))+P1(f329(f329(f239(f918(x71601,a905)),f329(f286(x71601),x71602)),f329(f286(x71601),x71603))) % 166.52/166.35 [7161]~P112(x71611)+~P1(f329(f329(f239(x71611),x71613),x71612))+P1(f329(f329(f239(f918(x71611,a905)),f329(f306(x71611),x71612)),f329(f306(x71611),x71613))) % 166.52/166.35 [7162]~P112(x71621)+~P1(f329(f329(f240(x71621),x71622),x71623))+P1(f329(f329(f240(f918(x71621,a905)),f329(f285(x71621),x71622)),f329(f285(x71621),x71623))) % 166.52/166.35 [7173]~P10(x71731)+P1(f329(f329(f239(x71731),x71732),f39(x71731,x71733)))+P1(f329(f329(f331(x71731),f613(x71733,x71732,x71731)),x71733)) % 166.52/166.35 [7179]~P86(x71791)+P1(f329(f329(f239(x71791),f329(f329(f23(x71791),x71792),x71793)),f2(x71791)))+~P1(f329(f329(f239(x71791),x71792),x71793)) % 166.52/166.35 [7180]~P86(x71801)+P1(f329(f329(f240(x71801),f329(f329(f23(x71801),x71802),x71803)),f2(x71801)))+~P1(f329(f329(f240(x71801),x71802),x71803)) % 166.52/166.35 [7221]P1(f329(x72211,x72212))+P1(f329(f329(f239(a910),f893(x72211,x72213)),x72213))+~P1(f329(f329(f331(a910),x72212),f305(a910,f2(a910),x72213))) % 166.52/166.35 [7261]~E(f329(f329(f6(x72611,a910),x72612),x72613),f80(a910))+~P1(f329(f62(x72611),x72613))+P1(f329(f329(f331(x72611),f869(x72612,x72613,x72611)),x72613)) % 166.52/166.35 [7262]~P1(f329(x72621,x72623))+P1(f329(f329(f239(a910),f892(x72621,x72622)),x72622))+~P1(f329(f329(f331(a910),x72623),f305(a910,f2(a910),x72622))) % 166.52/166.35 [7302]~P10(x73021)+P1(f329(f329(f331(x73021),f635(x73023,x73022,x73021)),x73022))+P1(f329(f329(f239(x73021),f38(x73021,x73022)),x73023)) % 166.52/166.35 [7336]~E(f329(f329(f6(x73361,a910),x73362),x73363),f329(a117,f2(a910)))+~P1(f329(f62(x73361),x73363))+P1(f329(f329(f331(x73361),f860(x73362,x73363,x73361)),x73363)) % 166.52/166.35 [7347]E(x73471,f2(a910))+P1(f329(x73472,f46(a910,x73473,x73471)))+P1(f329(f329(f240(a910),f494(x73471,x73473,x73472)),x73471)) % 166.52/166.35 [7465]~P1(f329(x74651,x74652))+P1(f329(x74651,f46(a910,x74652,x74653)))+P1(f329(f329(f240(a910),f494(x74653,x74652,x74651)),x74653)) % 166.52/166.35 [7584]E(x75841,f118(x75842))+~P1(f329(f329(f331(f911(x75842)),x75841),f164(x75842,x75843)))+P1(f329(f329(f331(x75842),f711(x75843,x75841,x75842)),x75843)) % 166.52/166.35 [7606]~P112(x76061)+E(f329(f329(f115(f918(x76061,a905)),f329(f329(f311(x76061),x76062),f191(f918(x76061,a905)))),f308(x76061,x76062,x76063)),f329(f304(x76061,x76062),x76063))+~P1(f329(f329(f240(x76061),x76062),x76063)) % 166.52/166.35 [7629]~P112(x76291)+E(f329(f329(f115(f918(x76291,a905)),f329(f329(f311(x76291),x76292),f191(f918(x76291,a905)))),f307(x76291,x76292,x76293)),f305(x76291,x76292,x76293))+~P1(f329(f329(f239(x76291),x76292),x76293)) % 166.52/166.35 [7735]~P112(x77351)+P1(f329(f329(f239(x77351),x77352),x77353))+~P1(f329(f329(f239(f918(x77351,a905)),f329(f306(x77351),x77353)),f329(f306(x77351),x77352))) % 166.52/166.35 [7736]~P114(x77361)+P1(f329(f329(f239(x77361),x77362),x77363))+~P1(f329(f329(f239(f918(x77361,a905)),f329(f286(x77361),x77363)),f329(f286(x77361),x77362))) % 166.52/166.35 [7737]~P112(x77371)+P1(f329(f329(f239(x77371),x77372),x77373))+~P1(f329(f329(f239(f918(x77371,a905)),f329(f285(x77371),x77372)),f329(f285(x77371),x77373))) % 166.52/166.35 [7738]~P114(x77381)+P1(f329(f329(f239(x77381),x77382),x77383))+~P1(f329(f329(f239(f918(x77381,a905)),f329(f303(x77381),x77382)),f329(f303(x77381),x77383))) % 166.52/166.35 [7739]~P112(x77391)+P1(f329(f329(f240(x77391),x77392),x77393))+~P1(f329(f329(f240(f918(x77391,a905)),f329(f285(x77391),x77392)),f329(f285(x77391),x77393))) % 166.52/166.35 [7763]~P86(x77631)+~P1(f329(f329(f239(x77631),f329(f329(f23(x77631),x77632),x77633)),f2(x77631)))+P1(f329(f329(f239(x77631),x77632),x77633)) % 166.52/166.35 [7764]~P86(x77641)+~P1(f329(f329(f240(x77641),f329(f329(f23(x77641),x77642),x77643)),f2(x77641)))+P1(f329(f329(f240(x77641),x77642),x77643)) % 166.52/166.35 [7927]E(x79271,f2(a910))+~E(f329(f145(a910,a910,f82(a910),x79272),x79273),f2(a910))+~P1(f329(f329(f331(a910),x79271),f329(f175(a910),x79273))) % 166.52/166.35 [7931]~P10(x79311)+~P1(f329(f329(f239(x79311),f635(x79313,x79312,x79311)),x79313))+P1(f329(f329(f239(x79311),f38(x79311,x79312)),x79313)) % 166.52/166.35 [8085]P1(f329(f329(f239(a1),f2(a1)),f485(x80851,x80852,x80853)))+P1(f329(f329(x80852,f329(f329(f37(a1),x80851),x80853)),f46(a1,x80851,x80853)))+~P1(f329(f329(f240(a1),f2(a1)),x80853)) % 166.52/166.35 [8183]E(x81831,x81832)+~E(f329(f192(f911(x81833)),x81831),f329(f192(f911(x81833)),x81832))+~P1(f329(f329(f262(x81833,x81833,a905),a326),f686(x81833,x81831,x81832))) % 166.52/166.35 [8254]~P43(x82542,x82543)+E(x82541,f191(f918(x82542,a905)))+~P1(f329(f329(f239(f918(x82542,a905)),x82541),f329(f288(x82542,x82542,x82543),x82541))) % 166.52/166.35 [8282]~P74(x82821)+~P1(f329(f329(f239(x82821),x82822),f329(f329(f82(x82821),x82823),f794(x82823,x82822,x82821))))+P1(f329(f329(f239(x82821),x82822),x82823)) % 166.52/166.35 [8318]P60(x83181,x83182,x83183)+P1(f329(f329(f331(x83181),f510(x83183,x83182,x83181)),x83182))+P1(f329(f329(f331(f917(x83181,x83181)),f511(x83183,x83182,x83181)),x83183)) % 166.52/166.35 [8340]P1(f329(f329(x83402,f329(f329(f37(a1),x83401),x83403)),f46(a1,x83401,x83403)))+~P1(f329(f329(f240(a1),f2(a1)),x83403))+P1(f329(f329(f240(a1),f485(x83401,x83402,x83403)),x83403)) % 166.52/166.35 [8364]E(f329(f312(a910,a910,f329(f329(f7(a910,a910,a910),f23(a910)),x83641)),f329(f304(a910,x83642),x83643)),f191(f918(a910,a905)))+P1(f329(f329(f240(a910),x83641),x83643))+P1(f329(f329(f240(a910),x83642),x83643)) % 166.52/166.35 [8475]E(f329(f312(a910,a910,f329(f329(f7(a910,a910,a910),f23(a910)),x84751)),f329(f304(a910,x84752),x84753)),f329(f329(f311(a910),f2(a910)),f191(f918(a910,a905))))+P1(f329(f329(f240(a910),x84751),x84753))+~P1(f329(f329(f240(a910),x84752),x84753)) % 166.52/166.35 [8489]~P112(x84891)+E(f152(x84891,x84891,f5(x84891),x84892,x84893),x84893)+~P1(f329(f329(f331(x84891),x84892),f329(f175(x84891),x84893))) % 166.52/166.35 [8503]P30(x85031,x85031,x85032,x85033)+~P1(f329(f62(x85031),x85033))+~P1(f329(f329(f239(f918(x85031,a905)),x85033),f329(f312(x85031,x85031,x85032),x85033))) % 166.52/166.35 [8528]E(f329(f329(f82(a1),f329(f329(f83(a1),x85281),f486(x85282,x85283,x85281))),f485(x85282,x85283,x85281)),x85282)+P1(f329(f329(x85283,f329(f329(f37(a1),x85282),x85281)),f46(a1,x85282,x85281)))+~P1(f329(f329(f240(a1),f2(a1)),x85281)) % 166.52/166.35 [8775]~P1(f329(f329(x87751,f486(x87752,x87751,x87753)),f485(x87752,x87751,x87753)))+P1(f329(f329(x87751,f329(f329(f37(a1),x87752),x87753)),f46(a1,x87752,x87753)))+~P1(f329(f329(f240(a1),f2(a1)),x87753)) % 166.52/166.35 [9656]~P1(f329(f62(x96561),x96562))+~P1(f329(f329(f331(x96561),x96563),x96562))+P1(f329(f329(f240(a910),f329(f36(x96561),f329(f329(f23(f918(x96561,a905)),x96562),f329(f329(f311(x96561),x96563),f191(f918(x96561,a905)))))),f329(f36(x96561),x96562))) % 166.52/166.35 [10246]P60(x102461,x102462,x102463)+~P1(f329(f329(f262(x102461,x102461,a905),f329(f329(f7(x102461,f918(x102461,a905),f918(x102461,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x102461,a905),f918(x102461,a905)),x102461),f8(a905,a905,x102461)),f329(f329(f8(a905,f918(a905,a905),x102461),a327),f329(f329(f7(x102461,f918(x102461,a905),a905),f331(x102461)),x102462)))),f329(f329(f7(x102461,f918(x102461,a905),a905),f331(x102461)),x102462))),f511(x102463,x102462,x102461)))+P1(f329(f329(f331(x102461),f510(x102463,x102462,x102461)),x102462)) % 166.52/166.35 [5583]~P126(x55832)+E(x55831,f2(x55832))+E(f329(f329(f292(x55832),x55833),f329(f81(x55832),x55831)),f329(f81(x55832),f329(f329(f292(x55832),x55833),x55831))) % 166.52/166.35 [5722]~E(x57223,f191(f918(x57221,a905)))+~E(x57222,f191(f918(x57221,a905)))+E(f329(f329(f115(f918(x57221,a905)),x57222),x57223),f191(f918(x57221,a905))) % 166.52/166.35 [5781]~E(x57813,f2(a910))+~P1(f329(x57811,f2(a910)))+P1(f329(x57811,f329(f329(f37(a910),x57812),x57813))) % 166.52/166.35 [5922]~P74(x59222)+E(x59221,f2(x59222))+E(f329(f329(f292(x59222),f329(f77(x59222),x59223)),f329(f77(x59222),x59221)),f329(f77(x59222),f329(f329(f292(x59222),x59223),x59221))) % 166.52/166.35 [6094]~P1(f329(f62(x60941),x60943))+E(f329(f36(x60941),f329(f329(f311(x60941),x60942),x60943)),f329(a117,f329(f36(x60941),x60943)))+P1(f329(f329(f331(x60941),x60942),x60943)) % 166.52/166.35 [6172]~E(x61722,f2(a910))+P1(f329(x61721,f2(a910)))+~P1(f329(x61721,f329(f329(f37(a910),x61723),x61722))) % 166.52/166.35 [6189]~P1(f329(f62(x61891),x61893))+E(f329(f36(x61891),f329(f329(f311(x61891),x61892),x61893)),f329(f36(x61891),x61893))+~P1(f329(f329(f331(x61891),x61892),x61893)) % 166.52/166.35 [6226]~P1(f329(f62(x62261),x62263))+E(f329(f36(x62261),f329(f329(f311(x62261),x62262),x62263)),f329(f329(f82(a910),f80(a910)),f329(f36(x62261),x62263)))+P1(f329(f329(f331(x62261),x62262),x62263)) % 166.52/166.35 [6342]E(f329(f329(f82(a910),x63421),f888(x63421,x63422,x63423)),x63422)+~P1(f329(x63423,f2(a910)))+P1(f329(x63423,f329(f329(f23(a910),x63422),x63421))) % 166.52/166.35 [6343]E(f329(f329(f82(a910),x63431),f889(x63431,x63432,x63433)),x63432)+~P1(f329(x63433,f2(a910)))+P1(f329(x63433,f329(f329(f23(a910),x63432),x63431))) % 166.52/166.35 [6389]~P10(x63891)+~P1(f329(f62(x63891),x63893))+E(f329(f329(f65(x63891,x63891,f115(x63891)),x63892),x63893),f329(f329(f115(x63891),x63892),f38(x63891,x63893))) % 166.52/166.35 [6390]~P10(x63901)+~P1(f329(f62(x63901),x63903))+E(f329(f329(f65(x63901,x63901,f106(x63901)),x63902),x63903),f329(f329(f106(x63901),x63902),f39(x63901,x63903))) % 166.52/166.35 [6396]~P96(x63961)+~E(f329(f108(x63961),x63962),f329(f108(x63961),x63963))+P35(x63961,f329(f108(x63961),f329(f329(f82(a1),x63962),f329(f81(a1),x63963)))) % 166.52/166.35 [6405]~P120(x64051)+E(f329(f329(f23(x64051),f329(f105(x64051),x64052)),f329(f105(x64051),x64053)),f329(f105(x64051),f329(f329(f23(a910),x64052),x64053)))+~P1(f329(f329(f239(a910),x64053),x64052)) % 166.52/166.35 [6492]E(f329(f329(f82(a910),x64921),f888(x64921,x64922,x64923)),x64922)+P1(f329(f329(f240(a910),x64922),x64921))+P1(f329(x64923,f329(f329(f23(a910),x64922),x64921))) % 166.52/166.35 [6493]E(f329(f329(f82(a910),x64931),f889(x64931,x64932,x64933)),x64932)+P1(f329(f329(f240(a910),x64932),x64931))+P1(f329(x64933,f329(f329(f23(a910),x64932),x64931))) % 166.52/166.35 [6511]~P123(x65111)+E(f329(f329(f83(x65111),f329(f77(x65111),x65112)),x65113),f329(f77(x65111),f329(f329(f83(x65111),x65112),x65113)))+~P1(f329(f329(f239(x65111),f2(x65111)),x65113)) % 166.52/166.35 [6512]~P73(x65121)+E(f329(f329(f292(x65121),f329(f77(x65121),x65122)),x65123),f329(f77(x65121),f329(f329(f292(x65121),x65122),x65123)))+~P1(f329(f329(f240(x65121),f2(x65121)),x65123)) % 166.52/166.35 [6520]~P2(x65201)+~P1(f329(f62(x65201),x65203))+E(f329(f329(f65(x65201,x65201,f115(x65201)),x65202),x65203),f13(x65201,f329(f329(f311(x65201),x65202),x65203))) % 166.52/166.35 [6521]~P2(x65211)+~P1(f329(f62(x65211),x65213))+E(f329(f329(f65(x65211,x65211,f106(x65211)),x65212),x65213),f10(x65211,f329(f329(f311(x65211),x65212),x65213))) % 166.52/166.35 [6522]~P112(x65221)+~P1(f329(f62(x65221),x65223))+E(f329(f329(f65(x65221,x65221,f238(x65221)),x65222),x65223),f14(x65221,f329(f329(f311(x65221),x65222),x65223))) % 166.52/166.35 [6523]~P112(x65231)+~P1(f329(f62(x65231),x65233))+E(f329(f329(f65(x65231,x65231,f237(x65231)),x65232),x65233),f15(x65231,f329(f329(f311(x65231),x65232),x65233))) % 166.52/166.35 [6569]E(x65691,f118(x65692))+~E(f182(x65692,x65693),f118(f911(x65692)))+~P1(f329(f329(f331(f911(x65692)),x65691),f329(f175(f911(x65692)),x65693))) % 166.52/166.35 [6612]~P1(f329(f140(x66121),x66123))+P1(f329(f329(f331(x66121),x66122),f329(f175(x66121),x66123)))+P1(f329(f140(x66121),f329(f329(f154(x66121),x66122),x66123))) % 166.52/166.35 [6623]~P99(x66231)+~P1(f329(f62(x66231),x66233))+E(f329(f64(x66231,f83(x66231)),f329(f329(f311(x66231),x66232),x66233)),f329(f329(f65(x66231,x66231,f83(x66231)),x66232),x66233)) % 166.52/166.35 [6645]~P112(x66451)+~P1(f329(f62(x66451),x66453))+E(f11(x66451,f237(x66451),f329(f329(f311(x66451),x66452),x66453)),f329(f329(f65(x66451,x66451,f237(x66451)),x66452),x66453)) % 166.52/166.35 [6646]~P112(x66461)+~P1(f329(f62(x66461),x66463))+E(f12(x66461,f238(x66461),f329(f329(f311(x66461),x66462),x66463)),f329(f329(f65(x66461,x66461,f238(x66461)),x66462),x66463)) % 166.52/166.35 [6648]P1(f329(x66481,f2(a910)))+~P1(f329(f329(f240(a910),x66482),x66483))+~P1(f329(x66481,f329(f329(f23(a910),x66482),x66483))) % 166.52/166.35 [6668]~P89(x66681)+P1(f329(f329(f239(x66681),x66682),x66683))+~P1(f329(f329(f239(x66681),f329(f77(x66681),x66682)),x66683)) % 166.52/166.35 [6669]~P123(x66691)+P1(f329(f329(f240(x66691),x66692),x66693))+~P1(f329(f329(f240(x66691),f329(f77(x66691),x66692)),x66693)) % 166.52/166.35 [6687]E(x66871,f118(x66872))+E(f329(f144(x66872),f329(f329(f141(x66872),x66873),x66871)),f329(f329(f167(x66872),x66871),x66873))+~P1(f329(f329(f240(a910),x66873),f329(f192(f911(x66872)),x66871))) % 166.52/166.35 [6739]~P1(f329(x67391,x67393))+P1(f329(x67391,f348(x67391,x67392)))+~P1(f329(f329(f331(a910),x67393),f329(f304(a910,f2(a910)),x67392))) % 166.52/166.35 [6759]P1(f329(x67591,x67592))+~P1(f329(f329(f240(a910),x67592),x67593))+P1(f329(f329(f331(a910),f346(x67591,x67593)),f329(f304(a910,f2(a910)),x67593))) % 166.52/166.35 [6776]~P122(x67761)+~P1(f329(f329(f239(x67761),f2(x67761)),x67762))+P1(f329(f329(f239(x67761),f2(x67761)),f329(f329(f249(x67761),x67762),x67763))) % 166.52/166.35 [6777]~P122(x67771)+~P1(f329(f329(f239(x67771),f80(x67771)),x67772))+P1(f329(f329(f239(x67771),f80(x67771)),f329(f329(f249(x67771),x67772),x67773))) % 166.52/166.35 [6779]~P122(x67791)+~P1(f329(f329(f240(x67791),f2(x67791)),x67792))+P1(f329(f329(f240(x67791),f2(x67791)),f329(f329(f249(x67791),x67792),x67793))) % 166.52/166.35 [6803]~P1(f329(x68031,x68033))+~P1(f329(f329(f240(a910),x68033),x68032))+P1(f329(f329(f331(a910),f340(x68031,x68032)),f329(f304(a910,f2(a910)),x68032))) % 166.52/166.35 [6812]P1(f329(f62(x68121),x68122))+~P1(f329(f62(x68121),x68123))+~P1(f329(f329(f239(f918(x68121,a905)),x68122),x68123)) % 166.52/166.35 [6819]P1(f329(x68191,x68192))+~P1(f329(x68191,f347(x68191,x68193)))+~P1(f329(f329(f331(a910),x68192),f329(f304(a910,f2(a910)),x68193))) % 166.52/166.35 [6830]E(x68301,f2(a910))+P1(f329(x68302,f467(x68301,x68303,x68302)))+~P1(f329(x68302,f329(f329(f37(a910),x68303),x68301))) % 166.52/166.35 [6837]~P130(x68372)+E(x68371,f2(x68372))+~E(f329(f329(f82(x68372),f329(f329(f83(x68372),x68373),x68373)),f329(f329(f83(x68372),x68371),x68371)),f2(x68372)) % 166.52/166.35 [6838]~P130(x68382)+E(x68381,f2(x68382))+~E(f329(f329(f82(x68382),f329(f329(f83(x68382),x68381),x68381)),f329(f329(f83(x68382),x68383),x68383)),f2(x68382)) % 166.52/166.35 [6882]E(x68821,f2(a910))+~P1(f329(x68822,f468(x68821,x68823,x68822)))+P1(f329(x68822,f329(f329(f37(a910),x68823),x68821))) % 166.52/166.35 [6887]~P112(x68871)+~P18(x68871,x68873)+P18(x68871,f329(f329(f151(x68871,x68871,f5(x68871)),x68872),x68873)) % 166.52/166.35 [6929]P1(f329(x69291,f467(x69292,x69293,x69291)))+P1(f329(x69291,f2(a910)))+~P1(f329(x69291,f329(f329(f37(a910),x69293),x69292))) % 166.52/166.35 [6935]~P96(x69351)+E(f329(f108(x69351),x69352),f329(f108(x69351),x69353))+~P35(x69351,f329(f108(x69351),f329(f329(f82(a1),x69352),f329(f81(a1),x69353)))) % 166.52/166.35 [6998]E(x69981,f2(a1))+E(x69982,f2(a1))+~P1(f329(f50(x69982,x69982),f329(f329(f257(a1,a1),x69983),x69981))) % 166.52/166.35 [6999]E(x69991,f80(a1))+E(x69992,f2(a1))+~P1(f329(f50(x69992,x69992),f329(f329(f257(a1,a1),x69991),x69993))) % 166.52/166.35 [7013]P1(f329(x70131,x70132))+P1(f329(f329(f240(a910),f347(x70131,x70133)),x70133))+~P1(f329(f329(f331(a910),x70132),f329(f304(a910,f2(a910)),x70133))) % 166.52/166.35 [7038]~P1(f329(x70381,f888(x70383,x70382,x70381)))+~P1(f329(x70381,f2(a910)))+P1(f329(x70381,f329(f329(f23(a910),x70382),x70383))) % 166.52/166.35 [7039]~P1(f329(x70391,f889(x70393,x70392,x70391)))+~P1(f329(x70391,f2(a910)))+P1(f329(x70391,f329(f329(f23(a910),x70392),x70393))) % 166.52/166.35 [7040]~P1(f329(x70401,f468(x70403,x70402,x70401)))+~P1(f329(x70401,f2(a910)))+P1(f329(x70401,f329(f329(f37(a910),x70402),x70403))) % 166.52/166.35 [7057]~P1(f329(x70571,x70573))+P1(f329(f329(f240(a910),f348(x70571,x70572)),x70572))+~P1(f329(f329(f331(a910),x70573),f329(f304(a910,f2(a910)),x70572))) % 166.52/166.35 [7058]E(f329(f329(f23(a910),f329(f329(f23(a910),x70581),x70582)),f329(f329(f23(a910),x70583),x70582)),f329(f329(f23(a910),x70581),x70583))+~P1(f329(f329(f239(a910),x70582),x70581))+~P1(f329(f329(f239(a910),x70582),x70583)) % 166.52/166.35 [7094]~P86(x70941)+~P1(f329(f329(f239(x70941),f329(f81(x70941),x70943)),x70942))+P1(f329(f329(f239(x70941),f329(f81(x70941),x70942)),x70943)) % 166.52/166.35 [7096]~P89(x70961)+~P1(f329(f329(f239(x70961),f329(f77(x70961),x70962)),x70963))+P1(f329(f329(f239(x70961),f329(f81(x70961),x70962)),x70963)) % 166.52/166.35 [7098]~P86(x70981)+~P1(f329(f329(f240(x70981),f329(f81(x70981),x70983)),x70982))+P1(f329(f329(f240(x70981),f329(f81(x70981),x70982)),x70983)) % 166.52/166.35 [7099]~P123(x70991)+~P1(f329(f329(f240(x70991),f329(f77(x70991),x70992)),x70993))+P1(f329(f329(f240(x70991),f329(f81(x70991),x70992)),x70993)) % 166.52/166.35 [7131]~P1(f329(x71313,f888(x71312,x71311,x71313)))+P1(f329(f329(f240(a910),x71311),x71312))+P1(f329(x71313,f329(f329(f23(a910),x71311),x71312))) % 166.52/166.35 [7132]~P1(f329(x71323,f889(x71322,x71321,x71323)))+P1(f329(f329(f240(a910),x71321),x71322))+P1(f329(x71323,f329(f329(f23(a910),x71321),x71322))) % 166.52/166.35 [7183]~E(f643(x71833,x71832,x71831),f644(x71833,x71832,x71831))+E(f329(f329(f106(f918(x71831,a905)),x71832),f38(f918(x71831,a905),x71833)),f191(f918(x71831,a905)))+P1(f329(f329(f331(f918(x71831,a905)),x71832),x71833)) % 166.52/166.35 [7191]~P1(f329(f62(x71911),x71913))+P1(f329(f62(x71911),f39(f918(x71911,a905),x71912)))+~P1(f329(f329(f331(f918(x71911,a905)),x71913),x71912)) % 166.52/166.35 [7250]~P112(x72501)+E(f329(f329(f115(f918(x72501,a905)),f329(f304(x72501,x72502),x72503)),f329(f329(f311(x72501),x72503),f191(f918(x72501,a905)))),f305(x72501,x72502,x72503))+~P1(f329(f329(f239(x72501),x72502),x72503)) % 166.52/166.35 [7251]E(x72511,f2(a910))+P1(f329(f329(f240(a910),f477(x72511,x72513,x72512)),x72511))+P1(f329(x72512,f329(f329(f37(a910),x72513),x72511))) % 166.52/166.35 [7280]P1(f329(f329(f240(a910),f329(f192(f911(x72801)),x72802)),f806(x72803,x72801)))+~P1(f329(f62(f911(x72801)),x72803))+~P1(f329(f329(f331(f911(x72801)),x72802),x72803)) % 166.52/166.35 [7286]E(x72861,x72862)+~P1(f329(f329(f239(f918(x72863,a905)),x72861),x72862))+P1(f329(f329(f240(f918(x72863,a905)),x72861),x72862)) % 166.52/166.35 [7299]E(x72991,x72992)+~E(f329(f192(f911(x72993)),x72991),f329(f192(f911(x72993)),x72992))+P1(f329(f329(f240(a910),f668(x72993,x72991,x72992)),f329(f192(f911(x72993)),x72992))) % 166.52/166.35 [7348]P13(x73481,x73482,x73483)+~E(f329(f269(x73481,x73481),x73483),x73482)+~E(f329(f329(f291(x73481,x73481,x73481),f329(f289(x73481,x73481),x73483)),x73483),x73483) % 166.52/166.35 [7430]~P1(f329(x74301,f2(a910)))+P1(f329(f329(f240(a910),f477(x74303,x74302,x74301)),x74303))+P1(f329(x74301,f329(f329(f37(a910),x74302),x74303))) % 166.52/166.35 [7442]~P112(x74421)+E(f329(f329(f115(f918(x74421,a905)),f308(x74421,x74422,x74423)),f329(f329(f311(x74421),x74423),f191(f918(x74421,a905)))),f307(x74421,x74422,x74423))+~P1(f329(f329(f240(x74421),x74422),x74423)) % 166.52/166.35 [7537]~P1(f329(f62(x75371),x75373))+P1(f329(f329(f239(a910),f329(f36(x75371),x75372)),f329(f36(x75371),x75373)))+~P1(f329(f329(f239(f918(x75371,a905)),x75372),x75373)) % 166.52/166.35 [7538]~P1(f329(f62(x75381),x75383))+P1(f329(f329(f240(a910),f329(f36(x75381),x75382)),f329(f36(x75381),x75383)))+~P1(f329(f329(f240(f918(x75381,a905)),x75382),x75383)) % 166.52/166.35 [7578]~P1(f329(x75783,x75782))+P1(f329(f329(f197(x75781),x75782),f552(x75782,x75781,x75783)))+~P1(f329(f329(f197(f31(x75783,x75781)),x75782),x75782)) % 166.52/166.35 [7672]E(x76721,x76722)+~P1(f329(f329(f239(f918(x76723,a905)),x76722),x76721))+~P1(f329(f329(f239(f918(x76723,a905)),x76721),x76722)) % 166.52/166.35 [7675]~P112(x76751)+P18(x76751,x76752)+~P18(x76751,f329(f329(f151(x76751,x76751,f5(x76751)),x76753),x76752)) % 166.52/166.35 [7745]~P1(f329(f329(f240(a910),x77453),x77452))+~P1(f329(f329(f240(a910),x77453),x77451))+P1(f329(f329(f240(a910),f329(f329(f23(a910),x77451),x77452)),f329(f329(f23(a910),x77451),x77453))) % 166.52/166.35 [7746]~P1(f329(f329(f239(a910),x77462),x77461))+~P1(f329(f329(f240(a910),x77461),x77463))+P1(f329(f329(f240(a910),f329(f329(f23(a910),x77461),x77462)),f329(f329(f23(a910),x77463),x77462))) % 166.52/166.35 [7761]~P1(f329(f329(f240(a1),x77612),f2(a1)))+~P1(f329(f329(f239(a1),x77613),x77611))+P1(f329(f329(f239(a1),f329(f329(f37(a1),x77611),x77612)),f329(f329(f37(a1),x77613),x77612))) % 166.52/166.35 [7778]~P1(f329(f329(f240(a910),f2(a910)),x77783))+~P1(f329(f329(f239(a910),x77783),x77782))+P1(f329(f329(f239(a910),f329(f329(f37(a910),x77781),x77782)),f329(f329(f37(a910),x77781),x77783))) % 166.52/166.35 [7779]~P1(f329(f329(f240(a1),f2(a1)),x77792))+~P1(f329(f329(f239(a1),x77791),x77793))+P1(f329(f329(f239(a1),f329(f329(f37(a1),x77791),x77792)),f329(f329(f37(a1),x77793),x77792))) % 166.52/166.35 [7783]~P1(f329(f329(f240(a910),f2(a910)),x77832))+~P1(f329(f329(f240(a910),x77831),x77833))+P1(f329(f329(f240(a910),f329(f329(f83(a910),x77831),x77832)),f329(f329(f83(a910),x77833),x77832))) % 166.52/166.35 [7784]~P1(f329(f329(f240(a910),f2(a910)),x77841))+~P1(f329(f329(f240(a910),x77842),x77843))+P1(f329(f329(f240(a910),f329(f329(f83(a910),x77841),x77842)),f329(f329(f83(a910),x77841),x77843))) % 166.52/166.35 [7785]~P1(f329(f329(f240(a1),f2(a1)),x77851))+~P1(f329(f329(f240(a1),x77852),x77853))+P1(f329(f329(f240(a1),f329(f329(f83(a1),x77851),x77852)),f329(f329(f83(a1),x77851),x77853))) % 166.52/166.35 [7833]E(x78331,f2(a910))+E(f329(f329(f82(a910),f329(f329(f83(a910),x78331),f468(x78331,x78332,x78333))),f477(x78331,x78332,x78333)),x78332)+P1(f329(x78333,f329(f329(f37(a910),x78332),x78331))) % 166.52/166.35 [7895]E(f329(f329(f82(a910),f329(f329(f83(a910),x78951),f468(x78951,x78952,x78953))),f477(x78951,x78952,x78953)),x78952)+~P1(f329(x78953,f2(a910)))+P1(f329(x78953,f329(f329(f37(a910),x78952),x78951))) % 166.52/166.35 [7912]~P1(f329(f62(x79121),x79123))+P1(f329(f329(f331(x79121),f469(x79122,x79123,x79121)),x79123))+P1(f329(f329(f240(a910),f2(a910)),f329(f329(f9(x79121,a910),x79122),x79123))) % 166.52/166.35 [7913]~P1(f329(f62(x79131),x79133))+P1(f329(f329(f331(x79131),f489(x79132,x79133,x79131)),x79133))+P1(f329(f329(f240(a910),f2(a910)),f329(f329(f9(x79131,a910),x79132),x79133))) % 166.52/166.35 [8219]E(x82191,f191(f918(x82192,a905)))+E(x82191,f329(f329(f311(x82192),x82193),f191(f918(x82192,a905))))+~P1(f329(f329(f239(f918(x82192,a905)),x82191),f329(f329(f311(x82192),x82193),f191(f918(x82192,a905))))) % 166.52/166.35 [8256]~P1(f329(f329(f240(a910),f2(a910)),x82563))+P1(f329(f329(f239(a910),x82561),x82562))+~P1(f329(f329(f239(a910),f329(f329(f83(a910),x82563),x82561)),f329(f329(f83(a910),x82563),x82562))) % 166.52/166.35 [8257]~P1(f329(f329(f240(a910),f2(a910)),x82573))+P1(f329(f329(f239(a910),x82571),x82572))+~P1(f329(f329(f239(a910),f329(f329(f83(a910),x82571),x82573)),f329(f329(f83(a910),x82572),x82573))) % 166.52/166.35 [8259]~P1(f329(f329(f240(a910),f2(a910)),x82593))+P1(f329(f329(f240(a910),x82591),x82592))+~P1(f329(f329(f240(a910),f329(f329(f249(a910),x82593),x82591)),f329(f329(f249(a910),x82593),x82592))) % 166.52/166.35 [8291]~P1(f329(x82911,x82913))+P1(f329(f329(f197(f31(x82911,x82912)),f552(x82913,x82912,x82911)),x82913))+~P1(f329(f329(f197(f31(x82911,x82912)),x82913),x82913)) % 166.52/166.35 [8299]~E(f329(f329(f106(f918(x82991,a905)),f644(x82993,x82992,x82991)),f643(x82993,x82992,x82991)),f191(f918(x82991,a905)))+E(f329(f329(f106(f918(x82991,a905)),x82992),f38(f918(x82991,a905),x82993)),f191(f918(x82991,a905)))+P1(f329(f329(f331(f918(x82991,a905)),x82992),x82993)) % 166.52/166.35 [8313]E(x83131,f118(x83132))+~E(f329(f145(f911(x83132),f911(x83132),f137(x83132),f118(x83132)),x83133),f118(x83132))+~P1(f329(f329(f331(f911(x83132)),x83131),f329(f175(f911(x83132)),x83133))) % 166.52/166.35 [8369]E(x83691,f191(f918(f918(x83692,a905),a905)))+P1(f329(f329(f331(f918(x83692,a905)),f647(x83693,x83691,x83692)),x83691))+P1(f329(f329(f239(f918(x83692,a905)),f39(f918(x83692,a905),x83691)),x83693)) % 166.52/166.35 [8375]~P5(x83751)+~P80(x83751)+E(f329(f329(f6(a1,x83751),f329(f329(f8(a910,x83751,a1),x83752),a109)),f329(f312(a910,a1,f105(a1)),x83753)),f329(f329(f6(a910,x83751),x83752),x83753)) % 166.52/166.35 [8376]~P5(x83761)+~P80(x83761)+E(f329(f329(f9(a1,x83761),f329(f329(f8(a910,x83761,a1),x83762),a109)),f329(f312(a910,a1,f105(a1)),x83763)),f329(f329(f9(a910,x83761),x83762),x83763)) % 166.52/166.35 [8419]~P1(f329(f62(x84191),x84193))+~P1(f329(f329(f240(a910),f2(a910)),f329(x84192,f469(x84192,x84193,x84191))))+P1(f329(f329(f240(a910),f2(a910)),f329(f329(f9(x84191,a910),x84192),x84193))) % 166.52/166.35 [8420]~P1(f329(f62(x84201),x84203))+~P1(f329(f329(f240(a910),f2(a910)),f329(x84202,f489(x84202,x84203,x84201))))+P1(f329(f329(f240(a910),f2(a910)),f329(f329(f9(x84201,a910),x84202),x84203))) % 166.52/166.35 [8457]~P72(x84572)+E(x84571,f80(x84572))+E(f329(f329(f292(x84572),f329(f329(f23(x84572),f329(f329(f249(x84572),x84571),x84573)),f80(x84572))),f329(f329(f23(x84572),x84571),f80(x84572))),f329(f329(f6(a910,x84572),f329(f249(x84572),x84571)),f329(f304(a910,f2(a910)),x84573))) % 166.52/166.35 [8514]E(x85141,f2(a910))+~P1(f329(x85143,f329(f329(f37(a910),x85142),x85141)))+P1(f329(f329(f240(a910),x85142),f329(f329(f83(a910),x85141),f329(a117,f467(x85141,x85142,x85143))))) % 166.52/166.35 [8533]P1(f329(x85331,f2(a910)))+~P1(f329(x85331,f329(f329(f37(a910),x85332),x85333)))+P1(f329(f329(f240(a910),x85332),f329(f329(f83(a910),x85333),f329(a117,f467(x85333,x85332,x85331))))) % 166.52/166.35 [8573]E(x85731,f2(a910))+~P1(f329(x85733,f329(f329(f37(a910),x85732),x85731)))+P1(f329(f329(f239(a910),f329(f329(f83(a910),x85731),f467(x85731,x85732,x85733))),x85732)) % 166.52/166.35 [8612]P1(f329(x86121,f2(a910)))+~P1(f329(x86121,f329(f329(f37(a910),x86123),x86122)))+P1(f329(f329(f239(a910),f329(f329(f83(a910),x86122),f467(x86122,x86123,x86121))),x86123)) % 166.52/166.35 [8620]~P112(x86201)+E(f329(f329(f151(x86201,x86201,f5(x86201)),x86202),x86203),f152(x86201,x86201,f5(x86201),x86202,x86203))+P1(f329(f329(f331(x86201),x86202),f329(f175(x86201),x86203))) % 166.52/166.35 [8659]~E(f329(x86593,f576(x86592,x86593,x86591)),f329(x86593,f578(x86592,x86593,x86591)))+~P67(x86591,f329(x86593,f577(x86592,x86593,x86591)))+P67(x86591,f329(f329(f40(x86592,f918(x86591,f918(x86591,a905))),f247(f918(x86592,a905))),x86593)) % 166.52/166.35 [8668]E(x86681,f191(f918(f918(x86682,a905),a905)))+~P1(f329(f329(f239(f918(x86682,a905)),f647(x86683,x86681,x86682)),x86683))+P1(f329(f329(f239(f918(x86682,a905)),f39(f918(x86682,a905),x86681)),x86683)) % 166.52/166.35 [8726]~P74(x87261)+~P1(f329(f329(f240(x87261),x87262),x87263))+P1(f329(f329(f240(x87261),x87262),f329(f329(f292(x87261),f329(f329(f82(x87261),x87262),x87263)),f329(f329(f82(x87261),f80(x87261)),f80(x87261))))) % 166.52/166.35 [8781]~P1(f329(f329(x87811,f513(x87811,x87813,x87812)),f514(x87811,x87813,x87812)))+P1(f329(f329(x87811,x87812),x87813))+~P1(f329(f317(f917(a1,a1),a53),f329(f329(f257(a1,a1),x87812),x87813))) % 166.52/166.35 [8782]~P1(f329(f329(x87821,f515(x87821,x87823,x87822)),f517(x87821,x87823,x87822)))+P1(f329(f329(x87821,x87822),x87823))+~P1(f329(f317(f917(a1,a1),a59),f329(f329(f257(a1,a1),x87822),x87823))) % 166.52/166.35 [8783]~P1(f329(f329(x87831,f518(x87831,x87833,x87832)),f519(x87831,x87833,x87832)))+P1(f329(f329(x87831,x87832),x87833))+~P1(f329(f317(f917(a1,a1),a225),f329(f329(f257(a1,a1),x87832),x87833))) % 166.52/166.35 [8784]~P1(f329(f329(x87841,f520(x87841,x87843,x87842)),f521(x87841,x87843,x87842)))+P1(f329(f329(x87841,x87842),x87843))+~P1(f329(f317(f917(a910,a910),a223),f329(f329(f257(a910,a910),x87842),x87843))) % 166.52/166.35 [8785]~P1(f329(f329(x87851,f698(x87851,x87853,x87852)),f700(x87851,x87853,x87852)))+P1(f329(f329(x87851,x87852),x87853))+~P1(f329(f317(f917(a1,a1),a185),f329(f329(f257(a1,a1),x87852),x87853))) % 166.52/166.35 [8786]~P1(f329(f329(x87861,f798(x87861,x87863,x87862)),f799(x87861,x87863,x87862)))+P1(f329(f329(x87861,x87862),x87863))+~P1(f329(f317(f917(a1,a1),a136),f329(f329(f257(a1,a1),x87862),x87863))) % 166.52/166.35 [9049]P1(f329(f329(x90491,x90492),x90493))+P1(f329(f317(f917(a910,a910),a223),f329(f329(f257(a910,a910),f520(x90491,x90493,x90492)),f521(x90491,x90493,x90492))))+~P1(f329(f317(f917(a910,a910),a223),f329(f329(f257(a910,a910),x90492),x90493))) % 166.52/166.35 [9050]P1(f329(f329(x90501,x90502),x90503))+P1(f329(f317(f917(a1,a1),a53),f329(f329(f257(a1,a1),f513(x90501,x90503,x90502)),f514(x90501,x90503,x90502))))+~P1(f329(f317(f917(a1,a1),a53),f329(f329(f257(a1,a1),x90502),x90503))) % 166.52/166.35 [9051]P1(f329(f329(x90511,x90512),x90513))+P1(f329(f317(f917(a1,a1),a59),f329(f329(f257(a1,a1),f515(x90511,x90513,x90512)),f517(x90511,x90513,x90512))))+~P1(f329(f317(f917(a1,a1),a59),f329(f329(f257(a1,a1),x90512),x90513))) % 166.52/166.35 [9052]P1(f329(f329(x90521,x90522),x90523))+P1(f329(f317(f917(a1,a1),a225),f329(f329(f257(a1,a1),f518(x90521,x90523,x90522)),f519(x90521,x90523,x90522))))+~P1(f329(f317(f917(a1,a1),a225),f329(f329(f257(a1,a1),x90522),x90523))) % 166.52/166.35 [9053]P1(f329(f329(x90531,x90532),x90533))+P1(f329(f317(f917(a1,a1),a185),f329(f329(f257(a1,a1),f698(x90531,x90533,x90532)),f700(x90531,x90533,x90532))))+~P1(f329(f317(f917(a1,a1),a185),f329(f329(f257(a1,a1),x90532),x90533))) % 166.52/166.35 [9054]P1(f329(f329(x90541,x90542),x90543))+P1(f329(f317(f917(a1,a1),a136),f329(f329(f257(a1,a1),f798(x90541,x90543,x90542)),f799(x90541,x90543,x90542))))+~P1(f329(f317(f917(a1,a1),a136),f329(f329(f257(a1,a1),x90542),x90543))) % 166.52/166.35 [9396]~P1(f329(f62(x93961),x93963))+P1(f329(f329(f331(f917(f918(x93961,a905),f918(x93961,a905))),f329(f329(f257(f918(x93961,a905),f918(x93961,a905)),x93962),x93963)),f316(x93961)))+~P1(f329(f329(f240(f918(x93961,a905)),x93962),x93963)) % 166.52/166.35 [9469]~P67(x94691,f329(x94693,f577(x94692,x94693,x94691)))+P67(x94691,f329(f329(f40(x94692,f918(x94691,f918(x94691,a905))),f247(f918(x94692,a905))),x94693))+~E(f329(f329(f106(f918(x94691,a905)),f254(x94691,x94691,f329(x94693,f576(x94692,x94693,x94691)))),f255(x94691,x94691,f329(x94693,f578(x94692,x94693,x94691)))),f191(f918(x94691,a905))) % 166.52/166.35 [9669]P60(x96691,x96692,x96693)+P1(f329(f329(f331(f917(x96691,x96691)),f511(x96693,x96692,x96691)),x96693))+~P1(f329(f329(f331(f917(x96691,x96691)),f329(f329(f257(x96691,x96691),f510(x96693,x96692,x96691)),f510(x96693,x96692,x96691))),x96693)) % 166.52/166.35 [10249]P60(x102491,x102492,x102493)+~P1(f329(f329(f262(x102491,x102491,a905),f329(f329(f7(x102491,f918(x102491,a905),f918(x102491,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x102491,a905),f918(x102491,a905)),x102491),f8(a905,a905,x102491)),f329(f329(f8(a905,f918(a905,a905),x102491),a327),f329(f329(f7(x102491,f918(x102491,a905),a905),f331(x102491)),x102492)))),f329(f329(f7(x102491,f918(x102491,a905),a905),f331(x102491)),x102492))),f511(x102493,x102492,x102491)))+~P1(f329(f329(f331(f917(x102491,x102491)),f329(f329(f257(x102491,x102491),f510(x102493,x102492,x102491)),f510(x102493,x102492,x102491))),x102493)) % 166.52/166.35 [5763]~P68(x57632)+E(x57631,f2(x57632))+E(f329(f329(f37(x57632),f329(f329(f83(x57632),x57633),x57631)),x57631),x57633) % 166.52/166.35 [5764]~P68(x57642)+E(x57641,f2(x57642))+E(f329(f329(f37(x57642),f329(f329(f83(x57642),x57641),x57643)),x57641),x57643) % 166.52/166.35 [6568]~P5(x65681)+~E(f329(x65682,f2(a910)),f2(x65681))+E(f329(f329(f6(a910,x65681),x65682),f329(f304(a910,f329(a117,f2(a910))),x65683)),f329(f329(f6(a910,x65681),x65682),f329(f304(a910,f2(a910)),x65683))) % 166.52/166.35 [6701]~P68(x67012)+E(x67011,f2(x67012))+E(f329(f329(f37(x67012),f329(f329(f82(x67012),x67013),x67011)),x67011),f329(f329(f82(x67012),f329(f329(f37(x67012),x67013),x67011)),f80(x67012))) % 166.52/166.35 [6702]~P68(x67022)+E(x67021,f2(x67022))+E(f329(f329(f37(x67022),f329(f329(f82(x67022),x67021),x67023)),x67021),f329(f329(f82(x67022),f329(f329(f37(x67022),x67023),x67021)),f80(x67022))) % 166.52/166.35 [6918]~P1(f329(x69183,f2(a1)))+P1(f329(f329(f239(a910),x69181),x69182))+P1(f329(x69183,f329(f105(a1),f329(f329(f23(a910),x69182),x69181)))) % 166.52/166.35 [7019]P1(f329(f329(f240(a910),x70192),x70191))+P1(f329(f329(f239(a910),x70191),x70192))+P1(f329(x70193,f329(f105(a1),f329(f329(f23(a910),x70192),x70191)))) % 166.52/166.35 [7092]E(f329(f329(f82(a910),f329(f108(a910),x70921)),f329(f329(f82(a910),f329(f108(a910),x70922)),x70923)),f329(f329(f82(a910),f329(f108(a910),x70921)),x70923))+P1(f329(a196,f329(f108(a1),x70921)))+~P1(f329(a196,f329(f108(a1),x70922))) % 166.52/166.35 [7170]~E(x71702,f329(f329(f37(a910),x71703),x71701))+~P1(f329(f329(f240(a910),f2(a910)),x71701))+P1(f329(f329(f239(a910),f329(f329(f83(a910),x71701),x71702)),x71703)) % 166.52/166.35 [7283]~P1(f329(f62(x72831),x72833))+~P1(f329(f62(x72831),x72832))+P1(f329(f62(x72831),f329(f329(f115(f918(x72831,a905)),x72832),x72833))) % 166.52/166.35 [7333]~P44(x73331,x73333)+~P44(x73331,x73332)+P44(x73331,f329(f329(f106(f918(f917(x73331,x73331),a905)),x73332),x73333)) % 166.52/166.35 [7334]~P59(x73341,x73343)+~P59(x73341,x73342)+P59(x73341,f329(f329(f115(f918(f917(x73341,x73341),a905)),x73342),x73343)) % 166.52/166.35 [7335]~P59(x73351,x73353)+~P59(x73351,x73352)+P59(x73351,f329(f329(f106(f918(f917(x73351,x73351),a905)),x73352),x73353)) % 166.52/166.35 [7590]~P112(x75901)+~P1(f329(f62(x75901),x75902))+E(f142(x75901,f329(f329(f23(f918(x75901,a905)),x75902),f329(f329(f311(x75901),x75903),f191(f918(x75901,a905))))),f173(x75901,x75903,f142(x75901,x75902))) % 166.52/166.35 [7651]P1(f329(x76511,f2(a1)))+~P1(f329(f329(f240(a910),x76512),x76513))+~P1(f329(x76511,f329(f105(a1),f329(f329(f23(a910),x76512),x76513)))) % 166.52/166.35 [7669]~P1(f329(f62(x76691),x76692))+E(f329(f36(x76691),f329(f329(f23(f918(x76691,a905)),x76692),f329(f329(f311(x76691),x76693),f191(f918(x76691,a905))))),f329(f36(x76691),x76692))+P1(f329(f329(f331(x76691),x76693),x76692)) % 166.52/166.35 [7801]~P122(x78011)+~P1(f329(f329(f240(x78011),f80(x78011)),x78012))+P1(f329(f329(f240(x78011),f80(x78011)),f329(f329(f83(x78011),x78012),f329(f329(f249(x78011),x78012),x78013)))) % 166.52/166.35 [7844]~P1(f329(f62(x78441),x78443))+E(f329(f329(f23(a910),f329(f36(x78441),x78442)),f329(f36(x78441),x78443)),f329(f36(x78441),f329(f329(f23(f918(x78441,a905)),x78442),x78443)))+~P1(f329(f329(f239(f918(x78441,a905)),x78443),x78442)) % 166.52/166.35 [7903]~P1(f329(f329(f239(a910),x79032),x79033))+~P1(f329(f329(f239(a910),x79031),f329(f329(f23(a910),x79033),x79032)))+P1(f329(f329(f239(a910),f329(f329(f82(a910),x79031),x79032)),x79033)) % 166.52/166.35 [7961]P1(f329(f62(x79611),x79612))+~P1(f329(f62(x79611),x79613))+~P1(f329(f62(x79611),f329(f329(f23(f918(x79611,a905)),x79612),x79613))) % 166.52/166.35 [7967]~P1(f329(f62(x79671),x79672))+E(f329(f36(x79671),f329(f329(f23(f918(x79671,a905)),x79672),f329(f329(f311(x79671),x79673),f191(f918(x79671,a905))))),f329(f329(f23(a910),f329(f36(x79671),x79672)),f80(a910)))+~P1(f329(f329(f331(x79671),x79673),x79672)) % 166.52/166.35 [8043]P67(x80431,x80432)+~P67(x80431,x80433)+~P1(f329(f329(f239(f918(x80431,f918(x80431,a905))),x80432),x80433)) % 166.52/166.35 [8084]~P1(f329(f329(f239(a910),x80843),x80842))+P1(f329(f329(f239(a910),x80841),f329(f329(f23(a910),x80842),x80843)))+~P1(f329(f329(f239(a910),f329(f329(f82(a910),x80841),x80843)),x80842)) % 166.52/166.35 [8104]P43(x81041,x81042)+~P43(x81041,x81043)+~P1(f329(f329(f239(f918(f917(x81041,x81041),a905)),x81042),x81043)) % 166.52/166.35 [8105]P65(x81051,x81052)+~P65(x81051,x81053)+~P1(f329(f329(f239(f918(f917(x81051,x81051),a905)),x81052),x81053)) % 166.52/166.35 [8106]P45(x81061,x81062)+~P45(x81061,x81063)+~P1(f329(f329(f239(f918(f917(x81061,x81061),a905)),x81062),x81063)) % 166.52/166.35 [8347]~P122(x83471)+~P1(f329(f329(f240(x83471),f80(x83471)),x83472))+P1(f329(f329(f240(x83471),f329(f329(f249(x83471),x83472),x83473)),f329(f329(f83(x83471),x83472),f329(f329(f249(x83471),x83472),x83473)))) % 166.52/166.35 [8440]~P1(f329(x84401,f2(a1)))+~P1(f329(x84401,f329(f329(f23(a1),f329(f105(a1),x84402)),f329(f105(a1),x84403))))+P1(f329(x84401,f329(f105(a1),f329(f329(f23(a910),x84402),x84403)))) % 166.52/166.35 [8453]~P1(f329(f329(f239(a910),x84533),x84532))+P1(f329(x84531,f329(f329(f23(a1),f329(f105(a1),x84532)),f329(f105(a1),x84533))))+~P1(f329(x84531,f329(f105(a1),f329(f329(f23(a910),x84532),x84533)))) % 166.52/166.35 [8472]P1(f329(f329(f240(a910),x84721),x84722))+~P1(f329(x84723,f329(f329(f23(a1),f329(f105(a1),x84721)),f329(f105(a1),x84722))))+P1(f329(x84723,f329(f105(a1),f329(f329(f23(a910),x84721),x84722)))) % 166.52/166.35 [8525]~P130(x85252)+E(x85251,f2(x85252))+P1(f329(f329(f240(x85252),f2(x85252)),f329(f329(f82(x85252),f329(f329(f83(x85252),x85253),x85253)),f329(f329(f83(x85252),x85251),x85251)))) % 166.52/166.35 [8526]~P130(x85262)+E(x85261,f2(x85262))+P1(f329(f329(f240(x85262),f2(x85262)),f329(f329(f82(x85262),f329(f329(f83(x85262),x85261),x85261)),f329(f329(f83(x85262),x85263),x85263)))) % 166.52/166.35 [8639]~P1(f329(f329(f240(a910),f2(a910)),x86391))+~P1(f329(f329(f240(a1),x86392),x86393))+P1(f329(f329(f240(a1),f329(f329(f83(a1),f329(f105(a1),x86391)),x86392)),f329(f329(f83(a1),f329(f105(a1),x86391)),x86393))) % 166.52/166.35 [8696]E(f329(f329(f106(f918(x86961,a905)),x86962),f38(f918(x86961,a905),x86963)),f191(f918(x86961,a905)))+P1(f329(f329(f331(f918(x86961,a905)),x86962),x86963))+P1(f329(f329(f331(f918(x86961,a905)),f644(x86963,x86962,x86961)),f329(f329(f311(f918(x86961,a905)),x86962),x86963))) % 166.52/166.35 [8697]E(f329(f329(f106(f918(x86971,a905)),x86972),f38(f918(x86971,a905),x86973)),f191(f918(x86971,a905)))+P1(f329(f329(f331(f918(x86971,a905)),x86972),x86973))+P1(f329(f329(f331(f918(x86971,a905)),f643(x86973,x86972,x86971)),f329(f329(f311(f918(x86971,a905)),x86972),x86973))) % 166.52/166.35 [8725]E(x87251,x87252)+~E(f329(f192(f911(x87253)),x87251),f329(f192(f911(x87253)),x87252))+P1(f329(f329(f331(f917(x87253,x87253)),f686(x87253,x87251,x87252)),f329(f175(f917(x87253,x87253)),f329(f329(f184(x87253,x87253),x87252),x87251)))) % 166.52/166.35 [8958]E(f309(x89581,x89582),f309(x89581,x89583))+~P1(f329(f329(f239(f918(f917(x89581,x89581),a905)),x89583),f309(x89581,x89582)))+~P1(f329(f329(f239(f918(f917(x89581,x89581),a905)),x89582),x89583)) % 166.52/166.35 [9025]~P60(x90251,f247(f918(x90251,a905)),x90253)+P1(f329(f329(f239(f918(f917(f911(x90251),f911(x90251)),a905)),f160(x90251,x90252)),f161(x90251,x90253)))+~P1(f329(f329(f239(f918(f917(x90251,x90251),a905)),x90252),x90253)) % 166.52/166.35 [9227]P43(x92271,x92272)+~P1(f329(f329(f331(x92271),x92273),f610(x92272,x92271)))+P1(f329(f329(f331(f917(x92271,x92271)),f329(f329(f257(x92271,x92271),f660(x92272,x92271,x92273)),x92273)),x92272)) % 166.52/166.35 [9269]~P1(f329(f62(x92691),x92692))+P1(f329(f62(f918(x92691,a905)),f329(f329(f61(x92691),x92692),x92693)))+~P1(f329(f329(f239(f918(f917(x92691,x92691),a905)),x92693),f329(f329(f259(x92691,x92691),x92692),f329(f16(f918(x92691,a905),x92691),x92692)))) % 166.52/166.35 [9308]P60(x93081,x93082,x93083)+P1(f329(f329(f331(x93081),f547(x93083,x93082,x93081)),x93082))+~P1(f329(f329(f239(f918(f917(x93081,x93081),a905)),x93083),f329(f329(f259(x93081,x93081),x93082),f329(f16(f918(x93081,a905),x93081),x93082)))) % 166.52/166.35 [9309]P60(x93091,x93092,x93093)+P1(f329(f329(f331(x93091),f553(x93092,x93093,x93091)),x93092))+~P1(f329(f329(f239(f918(f917(x93091,x93091),a905)),x93093),f329(f329(f259(x93091,x93091),x93092),f329(f16(f918(x93091,a905),x93091),x93092)))) % 166.52/166.35 [9342]~P74(x93421)+~P1(f329(f329(f240(x93421),x93422),x93423))+P1(f329(f329(f240(x93421),f329(f329(f292(x93421),f329(f329(f82(x93421),x93422),x93423)),f329(f329(f82(x93421),f80(x93421)),f80(x93421)))),x93423)) % 166.52/166.35 [9369]~P73(x93691)+P1(f329(f329(f239(x93691),x93692),x93693))+~P1(f329(f329(f239(x93691),f329(f329(f83(x93691),f479(x93693,x93692,x93691)),x93692)),x93693)) % 166.52/166.35 [9503]E(f329(f192(f911(f911(x95031))),f329(f139(f911(x95031),f329(f329(f8(a910,a905,f911(x95031)),f329(f240(a910),x95032)),f192(f911(x95031)))),f182(x95031,x95033))),f329(f192(f911(x95031)),f329(f329(f167(f911(x95031)),x95033),x95032)))+~P18(a910,f329(f171(a910),f329(f329(f157(f911(x95031),a910),f192(f911(x95031))),x95033)))+~P1(f329(f329(f240(a910),x95032),f329(f192(f911(f911(x95031))),x95033))) % 166.52/166.35 [9618]~P43(x96181,x96182)+P32(x96181,f329(f329(f257(f918(f917(x96181,x96181),a905),f918(f917(x96181,x96181),a905)),x96182),x96183))+~P1(f329(f329(f239(f918(f917(x96181,x96181),a905)),f329(f329(f291(x96181,x96181,x96181),x96182),x96183)),x96182)) % 166.52/166.35 [9624]E(f329(f329(f157(f911(x96241),x96241),f329(f329(f7(f911(x96241),a910,x96241),f167(x96241)),x96242)),f329(f139(f911(x96241),f329(f329(f8(a910,a905,f911(x96241)),f329(f240(a910),x96242)),f192(f911(x96241)))),f182(x96241,x96243))),f329(f329(f167(f911(x96241)),x96243),x96242))+~P18(a910,f329(f171(a910),f329(f329(f157(f911(x96241),a910),f192(f911(x96241))),x96243)))+~P1(f329(f329(f240(a910),x96242),f329(f192(f911(f911(x96241))),x96243))) % 166.52/166.35 [9759]P60(x97591,x97592,x97593)+~P1(f329(f329(f331(f917(x97591,x97591)),f329(f329(f257(x97591,x97591),f547(x97593,x97592,x97591)),f547(x97593,x97592,x97591))),x97593))+~P1(f329(f329(f239(f918(f917(x97591,x97591),a905)),x97593),f329(f329(f259(x97591,x97591),x97592),f329(f16(f918(x97591,a905),x97591),x97592)))) % 166.52/166.35 [9760]P60(x97601,x97602,x97603)+~P1(f329(f329(f331(f917(x97601,x97601)),f329(f329(f257(x97601,x97601),f553(x97602,x97603,x97601)),f553(x97602,x97603,x97601))),x97603))+~P1(f329(f329(f239(f918(f917(x97601,x97601),a905)),x97603),f329(f329(f259(x97601,x97601),x97602),f329(f16(f918(x97601,a905),x97601),x97602)))) % 166.52/166.35 [9930]~P120(x99301)+~P128(x99301)+E(f329(f329(f292(x99301),f329(f107(x99301),f329(f329(f74(f917(a1,a1),a1,x99302,f256(a1,a1)),f216(x99302)),x99303))),f329(f107(x99301),f329(f329(f74(f917(a1,a1),a1,x99302,f261(a1,a1)),f216(x99302)),x99303))),f226(x99302,x99301,x99303)) % 166.52/166.35 [10121]~E(x101213,f2(a910))+~E(f329(f192(f911(x101211)),f329(f329(f167(f911(x101211)),x101212),f734(x101213,x101211,x101212))),x101213)+E(f329(f329(f157(a910,f911(x101211)),f329(f329(f7(a910,f911(a910),f911(x101211)),f329(f329(f8(f918(a910,x101211),f918(f911(a910),f911(x101211)),a910),f157(a910,x101211)),f329(f7(a910,a910,x101211),f329(f329(f8(f911(x101211),f918(a910,x101211),a910),f167(x101211)),f329(f167(f911(x101211)),x101212))))),f142(a910,f329(f304(a910,f2(a910)),f329(f192(f911(f911(x101211))),x101212))))),f142(a910,f329(f304(a910,f2(a910)),x101213))),f182(x101211,x101212)) % 166.52/166.35 [10122]E(x101221,f118(f911(x101222)))+~E(f329(f192(f911(x101222)),f329(f329(f167(f911(x101222)),x101221),f734(x101223,x101222,x101221))),x101223)+E(f329(f329(f157(a910,f911(x101222)),f329(f329(f7(a910,f911(a910),f911(x101222)),f329(f329(f8(f918(a910,x101222),f918(f911(a910),f911(x101222)),a910),f157(a910,x101222)),f329(f7(a910,a910,x101222),f329(f329(f8(f911(x101222),f918(a910,x101222),a910),f167(x101222)),f329(f167(f911(x101222)),x101221))))),f142(a910,f329(f304(a910,f2(a910)),f329(f192(f911(f911(x101222))),x101221))))),f142(a910,f329(f304(a910,f2(a910)),x101223))),f182(x101222,x101221)) % 166.52/166.35 [10123]~E(x101233,f2(a910))+E(f329(f329(f157(a910,f911(x101231)),f329(f329(f7(a910,f911(a910),f911(x101231)),f329(f329(f8(f918(a910,x101231),f918(f911(a910),f911(x101231)),a910),f157(a910,x101231)),f329(f7(a910,a910,x101231),f329(f329(f8(f911(x101231),f918(a910,x101231),a910),f167(x101231)),f329(f167(f911(x101231)),x101232))))),f142(a910,f329(f304(a910,f2(a910)),f329(f192(f911(f911(x101231))),x101232))))),f142(a910,f329(f304(a910,f2(a910)),x101233))),f182(x101231,x101232))+P1(f329(f329(f240(a910),f734(x101233,x101231,x101232)),f329(f192(f911(f911(x101231))),x101232))) % 166.52/166.35 [10124]E(x101241,f118(f911(x101242)))+E(f329(f329(f157(a910,f911(x101242)),f329(f329(f7(a910,f911(a910),f911(x101242)),f329(f329(f8(f918(a910,x101242),f918(f911(a910),f911(x101242)),a910),f157(a910,x101242)),f329(f7(a910,a910,x101242),f329(f329(f8(f911(x101242),f918(a910,x101242),a910),f167(x101242)),f329(f167(f911(x101242)),x101241))))),f142(a910,f329(f304(a910,f2(a910)),f329(f192(f911(f911(x101242))),x101241))))),f142(a910,f329(f304(a910,f2(a910)),x101243))),f182(x101242,x101241))+P1(f329(f329(f240(a910),f734(x101243,x101242,x101241)),f329(f192(f911(f911(x101242))),x101241))) % 166.52/166.35 [7841]E(f329(f329(f82(a910),f329(f108(a910),x78411)),f329(f329(f82(a910),f329(f108(a910),x78412)),x78413)),f329(f329(f82(a910),f329(f108(a910),f329(f329(f82(a1),x78411),x78412))),x78413))+P1(f329(a196,f329(f108(a1),x78411)))+P1(f329(a196,f329(f108(a1),x78412))) % 166.52/166.35 [8631]~P1(f329(f62(x86311),x86312))+~P1(f329(f329(f331(x86311),x86313),x86312))+E(f329(a117,f329(f36(x86311),f329(f329(f23(f918(x86311,a905)),x86312),f329(f329(f311(x86311),x86313),f191(f918(x86311,a905)))))),f329(f36(x86311),x86312)) % 166.52/166.35 [8649]~P1(f329(f62(x86491),x86492))+~P1(f329(f329(f331(x86491),x86493),x86492))+E(f329(f329(f82(a910),f80(a910)),f329(f36(x86491),f329(f329(f23(f918(x86491,a905)),x86492),f329(f329(f311(x86491),x86493),f191(f918(x86491,a905)))))),f329(f36(x86491),x86492)) % 166.52/166.35 [8734]~P112(x87341)+~P1(f329(f62(x87341),x87343))+E(f329(f329(f151(x87341,x87341,f5(x87341)),x87342),f142(x87341,f329(f329(f23(f918(x87341,a905)),x87343),f329(f329(f311(x87341),x87342),f191(f918(x87341,a905)))))),f142(x87341,f329(f329(f311(x87341),x87342),x87343))) % 166.52/166.35 [8885]~P1(f329(f62(x88851),x88853))+~P1(f329(f62(x88851),x88852))+E(f329(f329(f82(a910),f329(f36(x88851),f329(f329(f115(f918(x88851,a905)),x88852),x88853))),f329(f36(x88851),f329(f329(f106(f918(x88851,a905)),x88852),x88853))),f329(f329(f82(a910),f329(f36(x88851),x88852)),f329(f36(x88851),x88853))) % 166.52/166.35 [10070]~P30(x100701,f918(f918(x100701,a905),a905),f329(f329(f7(x100701,f918(f917(x100701,x100701),a905),f918(f918(x100701,a905),a905)),f329(f329(f8(f918(x100701,a905),f918(f918(f917(x100701,x100701),a905),f918(f918(x100701,a905),a905)),x100701),f61(x100701)),f329(f329(f7(x100701,f918(x100701,a905),f918(x100701,a905)),f311(x100701)),f191(f918(x100701,a905))))),x100703),x100702)+~P1(f329(f62(x100701),x100702))+E(f329(f36(f918(x100701,a905)),f329(f329(f61(x100701),x100702),x100703)),f329(f36(x100701),x100702)) % 166.52/166.35 [10357]~P46(f918(x103571,a905),f918(x103571,a905),x103572)+~P1(f329(f329(f239(f918(x103571,a905)),x103573),f329(x103572,f100(f918(x103571,a905),f329(f329(f7(f918(x103571,a905),f918(x103571,a905),f918(x103571,a905)),f329(f329(f8(f918(x103571,a905),f918(f918(x103571,a905),f918(x103571,a905)),f918(x103571,a905)),f115(f918(x103571,a905))),f329(f329(f7(f918(x103571,a905),f918(x103571,a905),f918(x103571,a905)),f329(f329(f8(f918(x103571,a905),f918(f918(x103571,a905),f918(x103571,a905)),f918(x103571,a905)),f115(f918(x103571,a905))),x103572)),x103573))),f101(f918(x103571,a905),x103572))))))+P1(f329(f329(f239(f918(x103571,a905)),f100(f918(x103571,a905),f329(f329(f7(f918(x103571,a905),f918(x103571,a905),f918(x103571,a905)),f329(f329(f8(f918(x103571,a905),f918(f918(x103571,a905),f918(x103571,a905)),f918(x103571,a905)),f115(f918(x103571,a905))),f329(f329(f7(f918(x103571,a905),f918(x103571,a905),f918(x103571,a905)),f329(f329(f8(f918(x103571,a905),f918(f918(x103571,a905),f918(x103571,a905)),f918(x103571,a905)),f115(f918(x103571,a905))),x103572)),x103573))),f101(f918(x103571,a905),x103572)))),f329(x103572,f100(f918(x103571,a905),f329(f329(f7(f918(x103571,a905),f918(x103571,a905),f918(x103571,a905)),f329(f329(f8(f918(x103571,a905),f918(f918(x103571,a905),f918(x103571,a905)),f918(x103571,a905)),f115(f918(x103571,a905))),f329(f329(f7(f918(x103571,a905),f918(x103571,a905),f918(x103571,a905)),f329(f329(f8(f918(x103571,a905),f918(f918(x103571,a905),f918(x103571,a905)),f918(x103571,a905)),f115(f918(x103571,a905))),x103572)),x103573))),f101(f918(x103571,a905),x103572)))))) % 166.52/166.35 [8121]~P96(x81211)+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x81213)))+E(f329(f329(f249(x81211),x81212),f329(f108(a910),f329(f329(f23(a1),f329(f329(f82(a1),x81213),x81213)),a102))),f80(x81211)) % 166.52/166.35 [9602]~P96(x96021)+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x96023)))+E(f329(f329(f249(x96021),x96022),f329(f108(a910),f329(f329(f23(a1),f329(f329(f82(a1),x96023),x96023)),a102))),f329(f329(f88(x96021,x96021),f329(f329(f249(x96021),x96022),f329(f108(a910),x96023))),f329(f329(f18(x96021,x96021,x96021),f329(f329(f8(x96021,f918(x96021,x96021),x96021),f83(x96021)),f329(f83(x96021),x96022))),f5(x96021)))) % 166.52/166.35 [9989]~P1(f329(f140(x99891),x99893))+~P1(f329(f329(f331(x99891),x99892),f329(f175(x99891),x99893)))+E(f329(f329(f141(x99891),f329(f192(f911(x99891)),f180(x99891,f329(f329(f8(a905,a905,x99891),a324),f329(f329(f7(x99891,x99891,a905),a326),x99892)),f329(f171(x99891),x99893)))),f329(f171(x99891),x99893)),f329(f329(f154(x99891),x99892),f329(f171(x99891),f180(x99891,f329(f329(f8(a905,a905,x99891),a324),f329(f329(f7(x99891,x99891,a905),a326),x99892)),x99893)))) % 166.52/166.35 [10051]P1(f329(f329(f239(f918(f917(x100511,x100511),a905)),f309(x100511,x100512)),x100513))+~P1(f329(f329(f239(f918(f917(x100511,x100511),a905)),f309(x100511,f191(f918(f917(x100511,x100511),a905)))),x100513))+~P1(f329(f329(f239(f918(f917(x100511,x100511),a905)),f329(f329(f291(x100511,x100511,x100511),f329(f329(f106(f918(f917(x100511,x100511),a905)),f309(x100511,x100512)),x100513)),x100512)),x100513)) % 166.52/166.35 [9909]~P1(f329(f62(x99091),f329(f267(x99091),x99093)))+~P1(f329(f62(x99091),f329(f267(x99091),x99092)))+P1(f329(f62(x99091),f329(f267(x99091),f329(f329(f18(x99091,a905,a905),f329(f329(f8(a905,f918(a905,a905),x99091),a328),x99092)),x99093)))) % 166.52/166.35 [10183]P1(f329(f329(f239(f918(f917(x101831,x101831),a905)),f329(f329(f291(x101831,x101831,x101831),x101832),f309(x101831,x101832))),x101833))+~P1(f329(f329(f239(f918(f917(x101831,x101831),a905)),x101832),x101833))+~P1(f329(f329(f239(f918(f917(x101831,x101831),a905)),f329(f329(f291(x101831,x101831,x101831),f329(f329(f106(f918(f917(x101831,x101831),a905)),f329(f329(f291(x101831,x101831,x101831),x101832),f309(x101831,x101832))),x101833)),x101832)),x101833)) % 166.52/166.35 [10137]~P123(x101372)+E(x101371,f2(x101372))+~E(f329(f329(f82(x101372),f329(f329(f249(x101372),x101373),f329(f108(a910),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(x101372),x101371),f329(f108(a910),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(x101372)) % 166.52/166.35 [10138]~P123(x101382)+E(x101381,f2(x101382))+~E(f329(f329(f82(x101382),f329(f329(f249(x101382),x101381),f329(f108(a910),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(x101382),x101383),f329(f108(a910),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(x101382)) % 166.52/166.35 [10143]~P1(f329(f140(x101431),x101433))+~P1(f329(f329(f331(x101431),x101432),f329(f175(x101431),x101433)))+E(f329(f171(x101431),f329(f174(x101431),f329(f329(f141(x101431),f329(f192(f911(x101431)),f180(x101431,f329(f329(f8(a905,a905,x101431),a324),f329(f329(f7(x101431,x101431,a905),a326),x101432)),x101433))),x101433))),f180(x101431,f329(f329(f8(a905,a905,x101431),a324),f329(f329(f7(x101431,x101431,a905),a326),x101432)),f329(f171(x101431),x101433))) % 166.52/166.35 [10231]~P123(x102312)+E(x102311,f2(x102312))+P1(f329(f329(f240(x102312),f2(x102312)),f329(f329(f82(x102312),f329(f329(f249(x102312),x102313),f329(f108(a910),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(x102312),x102311),f329(f108(a910),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))))))) % 166.52/166.35 [10232]~P123(x102322)+E(x102321,f2(x102322))+P1(f329(f329(f240(x102322),f2(x102322)),f329(f329(f82(x102322),f329(f329(f249(x102322),x102321),f329(f108(a910),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(x102322),x102323),f329(f108(a910),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))))))) % 166.52/166.35 [10284]~P123(x102841)+P1(f329(f329(f239(x102841),f2(x102841)),x102842))+~P1(f329(f329(f239(x102841),f2(x102841)),f329(f329(f249(x102841),x102842),f329(a117,f329(f329(f83(a910),f329(f108(a910),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)))),x102843))))) % 166.52/166.35 [5596]~P29(x55961,x55964,x55963)+P29(x55961,x55962,x55963)+~P29(x55961,x55962,x55964) % 166.52/166.35 [5061]~E(x50612,f92(x50613,x50611))+P1(f329(x50611,x50612))+~P1(f329(x50611,x50614)) % 166.52/166.35 [5310]E(f69(x53103,x53102,x53104),x53102)+E(x53101,f761(x53102,x53103,x53104))+~P1(f329(x53104,x53101)) % 166.52/166.35 [6624]E(f69(x66241,x66242,x66243),f87(x66241,x66243))+~E(f801(x66242,x66241,x66243,x66244),x66244)+~P1(f329(x66243,x66244)) % 166.52/166.35 [6831]~P43(x68312,x68314)+~P43(x68311,x68313)+P43(f917(x68311,x68312),f321(x68311,x68312,x68313,x68314)) % 166.52/166.35 [6832]~P44(x68322,x68324)+~P44(x68321,x68323)+P44(f917(x68321,x68322),f321(x68321,x68322,x68323,x68324)) % 166.52/166.35 [8200]~P48(f31(x82004,x82001),x82002,x82003,x82002)+P48(x82001,x82002,x82003,f615(x82003,x82002,x82001,x82004))+~P1(f329(x82004,x82002)) % 166.52/166.35 [8229]~P48(f31(x82291,x82292),x82294,x82293,x82294)+P48(f31(x82291,x82292),f615(x82293,x82294,x82292,x82291),x82293,x82294)+~P1(f329(x82291,x82294)) % 166.52/166.35 [5249]~P12(x52494,x52491)+~E(f329(x52491,x52492),f329(x52491,x52493))+P1(f329(f329(x52491,x52492),x52493)) % 166.52/166.35 [5413]~P12(x54134,x54131)+E(f329(x54131,x54132),f329(x54131,x54133))+~P1(f329(f329(x54131,x54132),x54133)) % 166.52/166.35 [5414]~P20(x54144,x54141)+E(f329(x54141,x54142),f329(x54141,x54143))+~P1(f329(f329(x54141,x54142),x54143)) % 166.52/166.35 [5505]~P23(x55053,x55054,x55051)+E(f329(x55051,x55052),f329(f64(x55053,x55054),x55052))+~P1(f329(f62(x55053),x55052)) % 166.52/166.35 [5506]~P14(x55063,x55064,x55061)+E(f329(x55061,x55062),f329(f64(x55063,x55064),x55062))+~P1(f329(f62(x55063),x55062)) % 166.52/166.35 [5629]~P12(x56294,x56291)+~P1(f329(f329(x56291,x56293),x56292))+P1(f329(f329(x56291,x56292),x56293)) % 166.52/166.35 [5630]~P58(x56304,x56301)+~P1(f329(f329(x56301,x56303),x56302))+P1(f329(f329(x56301,x56302),x56303)) % 166.52/166.35 [5631]~P20(x56314,x56311)+~P1(f329(f329(x56311,x56313),x56312))+P1(f329(f329(x56311,x56312),x56313)) % 166.52/166.35 [5632]~P20(x56323,x56321)+P1(f329(f329(x56321,x56322),x56322))+~P1(f329(f329(x56321,x56324),x56322)) % 166.52/166.35 [5633]~P20(x56333,x56331)+P1(f329(f329(x56331,x56332),x56332))+~P1(f329(f329(x56331,x56332),x56334)) % 166.52/166.35 [5704]E(x57041,x57042)+~E(f329(f256(x57043,x57044),x57041),f329(f256(x57043,x57044),x57042))+~E(f329(f261(x57043,x57044),x57041),f329(f261(x57043,x57044),x57042)) % 166.52/166.35 [5731]E(x57311,x57312)+~P1(f329(f49(x57313,x57314),x57312))+~P1(f329(f49(x57313,x57314),x57311)) % 166.52/166.35 [5921]~P5(x59212)+E(f235(x59211,x59212,x59213,x59214),f2(x59212))+P1(f329(f62(x59211),x59214)) % 166.52/166.35 [6063]~P1(f329(f317(x60631,x60632),x60634))+P1(f329(f317(x60631,x60632),x60633))+~P1(f329(f329(x60632,x60633),x60634)) % 166.52/166.35 [6865]~P36(x68651,x68653,x68654)+P1(f329(x68651,x68652))+~P1(f329(f329(f331(a1),x68652),f305(a1,x68653,x68654))) % 166.52/166.35 [7956]E(x79561,f2(a910))+~P1(f329(x79562,x79563))+P1(f329(x79562,f796(x79562,x79563,x79561,x79564))) % 166.52/166.35 [8038]~P112(x80382)+~P1(f329(f140(x80381),x80384))+P1(f329(f140(x80381),f153(x80381,x80382,x80383,x80384))) % 166.52/166.35 [8083]E(f69(x80831,x80832,x80833),f87(x80831,x80833))+~P1(f329(x80833,x80834))+P1(f329(x80833,f801(x80832,x80831,x80833,x80834))) % 166.52/166.35 [8271]~P1(f329(f62(x82712),x82714))+~P1(f329(f62(x82711),x82713))+P1(f329(f62(f916(x82711,x82712)),f315(x82711,x82712,x82713,x82714))) % 166.52/166.35 [8272]~P1(f329(f140(x82722),x82724))+~P1(f329(f140(x82721),x82723))+P1(f329(f140(f917(x82721,x82722)),f60(x82721,x82722,x82723,x82724))) % 166.52/166.35 [8275]P1(f329(f329(f331(f911(x82751)),f329(f329(f137(x82751),x82752),x82753)),f164(x82751,x82754)))+~P1(f329(f329(f331(f911(x82751)),x82753),f164(x82751,x82754)))+~P1(f329(f329(f331(f911(x82751)),x82752),f164(x82751,x82754))) % 166.52/166.35 [8558]E(x85581,f2(a910))+P1(f329(x85582,x85583))+~P1(f329(x85582,f797(x85582,x85583,x85581,x85584))) % 166.52/166.35 [8604]~P112(x86043)+~P1(f329(f140(x86041),f153(x86041,x86043,x86044,x86042)))+P1(f329(f140(x86041),x86042)) % 166.52/166.35 [8876]~P1(f329(f329(f331(f917(x88761,x88761)),f329(f329(f257(x88761,x88761),x88762),x88764)),f309(x88761,x88763)))+P1(f329(f329(f331(x88761),x88762),f318(x88761,x88763)))+~P1(f329(f329(f331(x88761),x88764),f318(x88761,x88763))) % 166.52/166.35 [5231]~P5(x52312)+E(f329(f329(f6(x52311,x52312),x52313),x52314),f2(x52312))+P1(f329(f62(x52311),x52314)) % 166.52/166.35 [5234]~P80(x52342)+E(f329(f329(f9(x52341,x52342),x52343),x52344),f80(x52342))+P1(f329(f62(x52341),x52344)) % 166.52/166.35 [5377]~P6(x53773)+E(x53771,x53772)+~E(f329(f329(f82(x53773),x53774),x53771),f329(f329(f82(x53773),x53774),x53772)) % 166.52/166.35 [5378]~P7(x53783)+E(x53781,x53782)+~E(f329(f329(f82(x53783),x53784),x53781),f329(f329(f82(x53783),x53784),x53782)) % 166.52/166.35 [5380]~P6(x53803)+E(x53801,x53802)+~E(f329(f329(f82(x53803),x53801),x53804),f329(f329(f82(x53803),x53802),x53804)) % 166.52/166.35 [5501]~P10(x55013)+E(x55011,f191(f918(x55012,a905)))+E(f329(f329(f40(x55012,x55013),x55011),f329(f16(x55013,x55012),x55014)),x55014) % 166.52/166.35 [5502]~P10(x55023)+E(x55021,f191(f918(x55022,a905)))+E(f329(f329(f41(x55022,x55023),x55021),f329(f16(x55023,x55022),x55024)),x55024) % 166.52/166.35 [5717]~P114(x57173)+E(x57171,x57172)+~E(f305(x57173,x57174,x57171),f329(f329(f311(x57173),x57172),f191(f918(x57173,a905)))) % 166.52/166.35 [5718]~P114(x57183)+E(x57181,x57182)+~E(f305(x57183,x57181,x57182),f329(f329(f311(x57183),x57184),f191(f918(x57183,a905)))) % 166.52/166.35 [5779]~P41(x57793,x57791,x57794)+P41(x57793,x57791,f329(f329(f154(x57793),x57792),x57794))+P1(f329(x57791,x57792)) % 166.52/166.35 [5880]~P37(x58801,x58802,x58804)+~P1(f329(x58802,x58803))+P37(x58801,x58802,f329(f329(f154(x58801),x58803),x58804)) % 166.52/166.35 [6019]P1(f329(x60191,x60192))+~P1(f329(f253(x60193,x60191),x60194))+~P1(f329(f329(f331(x60193),x60192),x60194)) % 166.52/166.35 [6028]~P37(x60281,x60282,x60284)+~P37(x60281,x60282,x60283)+P37(x60281,x60282,f329(f329(f137(x60281),x60283),x60284)) % 166.52/166.35 [6041]P39(x60411,x60412,x60413)+~P39(x60411,x60412,f329(f329(f154(x60411),x60414),x60413))+P1(f329(x60412,x60414)) % 166.52/166.35 [6042]P41(x60421,x60422,x60423)+~P41(x60421,x60422,f329(f329(f154(x60421),x60424),x60423))+P1(f329(x60422,x60424)) % 166.52/166.35 [6053]E(x60531,x60532)+~P1(f329(f329(f197(x60533),x60534),x60532))+~P1(f329(f329(f197(x60533),x60534),x60531)) % 166.52/166.35 [6121]P39(x61211,x61212,x61213)+P39(x61211,x61212,x61214)+~P39(x61211,x61212,f329(f329(f137(x61211),x61214),x61213)) % 166.52/166.35 [6140]~P5(x61401)+E(f329(f329(f6(a910,x61401),x61402),f329(f304(a910,x61403),f329(a117,x61404))),f2(x61401))+~P1(f329(f329(f240(a910),x61404),x61403)) % 166.52/166.35 [6145]~P69(x61451)+~E(f46(x61451,x61452,x61453),f46(x61451,x61454,x61453))+E(f46(x61451,f329(f81(x61451),x61452),x61453),f46(x61451,f329(f81(x61451),x61454),x61453)) % 166.52/166.35 [6215]P1(f329(x62151,x62152))+~E(f329(f139(x62153,x62151),x62154),x62154)+~P1(f329(f329(f331(x62153),x62152),f329(f175(x62153),x62154))) % 166.52/166.35 [6234]~E(f329(f329(f82(a910),x62343),x62342),f329(f329(f82(a910),x62341),x62344))+~P1(f329(f329(f240(a910),x62343),x62344))+P1(f329(f329(f240(a910),x62341),x62342)) % 166.52/166.35 [6241]P39(x62411,x62412,x62413)+~P1(f329(x62412,x62414))+~P1(f329(f329(f331(x62411),x62414),f329(f175(x62411),x62413))) % 166.52/166.35 [6279]~P37(x62793,x62791,x62794)+P1(f329(x62791,x62792))+~P1(f329(f329(f331(x62793),x62792),f329(f175(x62793),x62794))) % 166.52/166.35 [6281]~E(f329(f139(x62811,x62812),x62813),f118(x62811))+~P1(f329(x62812,x62814))+~P1(f329(f329(f331(x62811),x62814),f329(f175(x62811),x62813))) % 166.52/166.35 [6282]~E(f180(x62823,x62821,x62824),x62824)+P1(f329(x62821,x62822))+~P1(f329(f329(f331(x62823),x62822),f329(f175(x62823),x62824))) % 166.52/166.35 [6308]~E(x63084,f191(f918(x63082,a905)))+~E(x63083,f191(f918(x63081,a905)))+E(f315(x63081,x63082,x63083,x63084),f191(f918(f916(x63081,x63082),a905))) % 166.52/166.35 [6454]P1(f329(x64541,x64542))+~P1(f329(f163(x64543,x64541),x64544))+~P1(f329(f329(f331(x64543),x64542),f329(f175(x64543),x64544))) % 166.52/166.35 [6729]~P5(x67291)+E(f329(f329(f6(a910,x67291),x67292),f305(a910,x67293,f329(a117,x67294))),f2(x67291))+~P1(f329(f329(f240(a910),f329(a117,x67294)),x67293)) % 166.52/166.35 [6868]~P112(x68681)+E(f329(f329(f23(f918(x68681,a905)),f329(f304(x68681,x68682),x68683)),f329(f304(x68681,x68682),x68684)),f329(f304(x68681,x68684),x68683))+~P1(f329(f329(f239(x68681),x68682),x68684)) % 166.52/166.35 [6939]~E(x69393,x69394)+E(x69391,f2(a910))+P1(f329(f329(f331(x69392),x69393),f329(f175(x69392),f172(x69392,x69391,x69394)))) % 166.52/166.35 [7215]~P1(f329(f329(f331(f911(x72151)),x72154),f164(x72151,x72153)))+P1(f329(f329(f331(x72151),x72152),x72153))+~P1(f329(f329(f331(x72151),x72152),f329(f175(x72151),x72154))) % 166.52/166.35 [7222]~P43(x72221,x72222)+P1(f329(f329(f331(x72221),f645(x72222,x72221,x72223)),x72223))+~P1(f329(f329(f331(x72221),x72224),x72223)) % 166.52/166.35 [7277]~P5(x72771)+E(f329(f329(f329(f66(x72771,x72772,f82(x72771)),x72773),f2(x72771)),x72774),f329(f329(f6(x72772,x72771),x72773),x72774))+~P1(f329(f62(x72772),x72774)) % 166.52/166.35 [7279]~P80(x72791)+E(f329(f329(f329(f66(x72791,x72792,f83(x72791)),x72793),f80(x72791)),x72794),f329(f329(f9(x72792,x72791),x72793),x72794))+~P1(f329(f62(x72792),x72794)) % 166.52/166.35 [7308]P30(x73081,x73082,x73083,x73084)+~E(f329(f36(x73082),f329(f312(x73081,x73082,x73083),x73084)),f329(f36(x73081),x73084))+~P1(f329(f62(x73081),x73084)) % 166.52/166.35 [7505]~P5(x75051)+E(f329(f329(f82(x75051),f329(x75052,x75053)),f329(f329(f6(a910,x75051),x75052),f307(a910,x75053,x75054))),f329(f329(f6(a910,x75051),x75052),f305(a910,x75053,x75054)))+~P1(f329(f329(f239(a910),x75053),x75054)) % 166.52/166.35 [7515]~P5(x75151)+~P30(x75152,x75151,x75153,x75154)+E(f329(f329(f6(x75151,x75151),f33(x75151)),f329(f312(x75152,x75151,x75153),x75154)),f329(f329(f6(x75152,x75151),x75153),x75154)) % 166.52/166.35 [7516]~P80(x75161)+~P30(x75162,x75161,x75163,x75164)+E(f329(f329(f9(x75161,x75161),f33(x75161)),f329(f312(x75162,x75161,x75163),x75164)),f329(f329(f9(x75162,x75161),x75163),x75164)) % 166.52/166.35 [7571]E(f329(f36(f916(x75711,x75712)),f315(x75711,x75712,x75713,x75714)),f329(f329(f82(a910),f329(f36(x75711),x75713)),f329(f36(x75712),x75714)))+~P1(f329(f62(x75712),x75714))+~P1(f329(f62(x75711),x75713)) % 166.52/166.35 [7652]E(x76521,x76522)+P1(f329(f329(f331(x76523),x76521),f329(f175(x76523),f173(x76523,x76522,x76524))))+~P1(f329(f329(f331(x76523),x76521),f329(f175(x76523),x76524))) % 166.52/166.35 [7794]~P1(f329(f329(f239(f918(x77941,a905)),x77944),f329(x77943,x77944)))+~P1(f329(f329(f331(x77941),x77942),x77944))+P1(f329(f329(f331(x77941),x77942),f101(f918(x77941,a905),x77943))) % 166.52/166.35 [7880]~P5(x78801)+E(f329(f329(f82(x78801),f329(f329(f6(a910,x78801),x78802),f329(f304(a910,x78803),x78804))),f329(x78802,x78804)),f329(f329(f6(a910,x78801),x78802),f329(f304(a910,x78803),f329(a117,x78804))))+P1(f329(f329(f240(a910),x78804),x78803)) % 166.52/166.35 [7937]~P30(x79371,x79372,x79373,f247(f918(x79371,a905)))+~P1(f329(f62(x79372),x79374))+P1(f329(f62(x79371),f329(f313(x79371,x79372,x79373),x79374))) % 166.52/166.35 [8053]P1(f329(f329(f331(f911(x80531)),f329(f329(f154(x80531),x80532),x80533)),f164(x80531,x80534)))+~P1(f329(f329(f331(f911(x80531)),x80533),f164(x80531,x80534)))+~P1(f329(f329(f331(x80531),x80532),x80534)) % 166.52/166.35 [8145]~E(f329(f312(x81453,x81451,x81454),f247(f918(x81453,a905))),f247(f918(x81451,a905)))+P1(f329(f62(x81451),x81452))+~P1(f329(f62(x81453),f329(f313(x81453,x81451,x81454),x81452))) % 166.52/166.35 [8245]~P30(x82451,x82453,x82454,x82452)+P1(f329(f62(x82451),x82452))+~P1(f329(f62(x82453),f329(f312(x82451,x82453,x82454),x82452))) % 166.52/166.35 [8265]~E(x82652,x82653)+P1(f329(f329(f331(f917(x82651,x82651)),f329(f329(f257(x82651,x82651),x82652),x82653)),f268(x82651,x82654)))+~P1(f329(f329(f331(x82651),x82652),x82654)) % 166.52/166.35 [8300]~P5(x83001)+E(f329(f329(f82(x83001),f329(f329(f6(a910,x83001),x83002),f305(a910,x83003,x83004))),f329(x83002,f329(a117,x83004))),f329(f329(f6(a910,x83001),x83002),f305(a910,x83003,f329(a117,x83004))))+P1(f329(f329(f240(a910),f329(a117,x83004)),x83003)) % 166.52/166.35 [8361]P1(f329(x83611,x83612))+~P1(f329(x83611,f329(f329(f167(x83613),x83614),f685(x83611,x83614,x83613))))+~P1(f329(f329(f331(x83613),x83612),f329(f175(x83613),x83614))) % 166.52/166.35 [8502]~P1(f329(f329(f331(x85021),x85022),f318(x85021,x85024)))+P1(f329(f329(f331(f911(x85021)),f329(f329(f154(x85021),x85022),x85023)),f318(f911(x85021),f160(x85021,x85024))))+~P1(f329(f329(f331(f911(x85021)),x85023),f318(f911(x85021),f160(x85021,x85024)))) % 166.52/166.35 [8517]~P30(x85172,x85173,x85174,f648(x85174,x85173,x85172,x85171))+P30(x85172,x85173,x85174,f39(f918(x85172,a905),x85171))+E(x85171,f191(f918(f918(x85172,a905),a905))) % 166.52/166.35 [8795]E(x87951,x87952)+~P1(f329(f329(f331(f917(x87953,x87953)),f329(f329(f257(x87953,x87953),x87951),x87952)),f309(x87953,x87954)))+P1(f329(f329(f331(x87953),x87951),f329(f269(x87953,x87953),x87954))) % 166.52/166.35 [9064]E(x90641,f2(a910))+P1(f329(x90642,x90643))+P1(f329(f329(f331(x90644),f797(x90642,x90643,x90641,x90644)),f329(f175(x90644),f172(x90644,x90641,x90643)))) % 166.52/166.35 [9076]E(x90761,f2(a910))+~P1(f329(x90763,x90764))+P1(f329(f329(f331(x90762),f796(x90763,x90764,x90761,x90762)),f329(f175(x90762),f172(x90762,x90761,x90764)))) % 166.52/166.35 [9080]P30(x90802,x90803,x90804,f39(f918(x90802,a905),x90801))+E(x90801,f191(f918(f918(x90802,a905),a905)))+P1(f329(f329(f331(f918(x90802,a905)),f648(x90804,x90803,x90802,x90801)),x90801)) % 166.52/166.35 [9214]P1(f329(f62(x92141),x92142))+~P1(f329(f62(x92144),f329(f312(x92141,x92144,x92143),x92142)))+P1(f329(f329(f331(x92141),f420(x92143,x92144,x92142,x92141)),x92142)) % 166.52/166.35 [9319]~P10(x93192)+E(f329(f329(f65(x93191,x93192,f329(f329(f8(x93192,f918(x93192,x93192),x93191),f115(x93192)),x93193)),f191(x93192)),x93194),f329(f329(f40(x93191,x93192),x93194),x93193))+~P1(f329(f62(x93191),x93194)) % 166.52/166.35 [9320]~P10(x93202)+E(f329(f329(f65(x93201,x93202,f329(f329(f8(x93202,f918(x93202,x93202),x93201),f106(x93202)),x93203)),f247(x93202)),x93204),f329(f329(f41(x93201,x93202),x93204),x93203))+~P1(f329(f62(x93201),x93204)) % 166.52/166.35 [9399]P1(f329(x93991,x93992))+~P1(f329(x93991,f329(f329(f167(x93993),x93994),f718(x93992,x93991,x93994,x93993))))+~P1(f329(f329(f331(x93993),x93992),f329(f175(x93993),x93994))) % 166.52/166.35 [9420]E(x94201,x94202)+~P1(f329(f329(f331(f917(x94203,x94203)),f329(f329(f257(x94203,x94203),x94201),x94202)),f309(x94203,x94204)))+P1(f329(f329(f331(f917(x94203,x94203)),f329(f329(f257(x94203,x94203),x94201),x94202)),f329(f329(f291(x94203,x94203,x94203),x94204),f309(x94203,x94204)))) % 166.52/166.35 [9470]~E(f329(f192(f911(x94701)),x94702),f329(f192(f911(x94701)),x94703))+~P1(f329(f329(f331(f917(f911(x94701),f911(x94701))),f329(f329(f257(f911(x94701),f911(x94701)),x94702),x94703)),f150(x94701,x94704)))+P1(f329(f329(f331(f917(f911(x94701),f911(x94701))),f329(f329(f257(f911(x94701),f911(x94701)),x94702),x94703)),f148(x94701,x94704))) % 166.52/166.35 [9705]P37(x97051,f329(f329(f18(x97051,a905,a905),f329(f329(f8(a905,f918(a905,a905),x97051),a328),f329(f329(f8(a905,a905,x97051),a324),x97052))),f329(a326,x97053)),x97054)+~P1(f329(x97052,x97053))+~P41(x97051,x97052,f329(f329(f154(x97051),x97053),x97054)) % 166.52/166.35 [9871]~P37(x98711,f329(f329(f18(x98711,a905,a905),f329(f329(f8(a905,f918(a905,a905),x98711),a328),f329(f329(f8(a905,a905,x98711),a324),x98712))),f329(a326,x98713)),x98714)+~P1(f329(x98712,x98713))+P41(x98711,x98712,f329(f329(f154(x98711),x98713),x98714)) % 166.52/166.35 [9875]~P41(x98751,x98752,x98754)+~P37(x98751,f329(f329(f18(x98751,a905,a905),f329(f329(f8(a905,f918(a905,a905),x98751),a328),f329(f329(f8(a905,a905,x98751),a324),x98752))),f329(a326,x98753)),x98754)+P41(x98751,x98752,f329(f329(f154(x98751),x98753),x98754)) % 166.52/166.35 [9910]~P75(x99101)+E(f329(f329(f6(a910,x99101),f329(f329(f18(a910,x99101,x99101),f329(f329(f8(x99101,f918(x99101,x99101),a910),f23(x99101)),x99102)),f329(f329(f8(a910,x99101,a910),x99102),f329(f329(f7(a910,a910,a910),f82(a910)),f80(a910))))),f305(a910,x99103,x99104)),f2(x99101))+P1(f329(f329(f239(a910),x99103),x99104)) % 166.52/166.35 [10136]~P43(x101362,x101364)+~P30(x101362,x101361,x101363,f247(f918(x101362,a905)))+P43(x101361,f329(f312(f917(x101362,x101362),f917(x101361,x101361),f263(x101362,x101361,x101362,x101361,x101363,x101363)),x101364)) % 166.52/166.35 [10318]~E(f329(f192(f911(x103181)),x103183),f329(f192(f911(x103181)),x103182))+P1(f329(f329(f331(f917(f911(x103181),f911(x103181))),f329(f329(f257(f911(x103181),f911(x103181)),x103182),x103183)),f161(x103181,x103184)))+~P1(f329(f329(f262(x103181,x103181,a905),f329(f329(f7(x103181,f918(f917(x103181,x103181),a905),f918(x103181,a905)),f329(f329(f8(f918(x103181,f918(f918(f917(x103181,x103181),a905),a905)),f918(f918(f917(x103181,x103181),a905),f918(x103181,a905)),x103181),f7(x103181,f918(f917(x103181,x103181),a905),a905)),f329(f329(f8(f918(x103181,f917(x103181,x103181)),f918(x103181,f918(f918(f917(x103181,x103181),a905),a905)),x103181),f329(f8(f917(x103181,x103181),f918(f918(f917(x103181,x103181),a905),a905),x103181),f331(f917(x103181,x103181)))),f257(x103181,x103181)))),x103184)),f687(x103184,x103183,x103182,x103181))) % 166.52/166.35 [6103]~E(x61034,x61032)+P1(f329(x61031,x61032))+P1(f329(f329(f197(f31(x61031,x61033)),x61032),x61034)) % 166.52/166.35 [6196]~P68(x61961)+~E(x61962,f2(x61961))+E(f329(f329(f37(x61961),f329(f329(f83(x61961),x61962),x61963)),f329(f329(f83(x61961),x61962),x61964)),f2(x61961)) % 166.52/166.35 [6238]E(x62381,f118(x62382))+E(x62383,f329(f329(f23(a910),f329(f192(f911(x62382)),x62381)),f80(a910)))+E(f147(x62382,f329(f329(f162(x62382,x62381),x62383),x62384)),f147(x62382,x62381)) % 166.52/166.35 [6270]E(x62701,x62702)+P1(f329(x62703,x62702))+~P1(f329(f329(f329(f311(x62704),x62701),x62703),x62702)) % 166.52/166.35 [6286]~P5(x62861)+~P1(f329(f140(x62862),x62864))+E(f329(f168(x62861),f329(f329(f157(x62862,x62861),x62863),x62864)),f329(f329(f6(x62862,x62861),x62863),f329(f175(x62862),x62864))) % 166.52/166.35 [6301]~P80(x63012)+~P1(f329(f62(x63011),x63014))+E(f329(f329(f9(x63011,x63012),f329(f16(x63012,x63011),x63013)),x63014),f329(f329(f249(x63012),x63013),f329(f36(x63011),x63014))) % 166.52/166.35 [6355]~P68(x63552)+E(x63551,f2(x63552))+E(f329(f329(f37(x63552),f329(f329(f83(x63552),x63553),x63551)),f329(f329(f83(x63552),x63554),x63551)),f329(f329(f37(x63552),x63553),x63554)) % 166.52/166.35 [6357]~P71(x63572)+E(x63571,f2(x63572))+E(f329(f329(f292(x63572),f329(f329(f83(x63572),x63573),x63571)),f329(f329(f83(x63572),x63574),x63571)),f329(f329(f292(x63572),x63573),x63574)) % 166.52/166.35 [6358]~P71(x63582)+E(x63581,f2(x63582))+E(f329(f329(f292(x63582),f329(f329(f83(x63582),x63581),x63583)),f329(f329(f83(x63582),x63581),x63584)),f329(f329(f292(x63582),x63583),x63584)) % 166.52/166.35 [6359]~P68(x63592)+E(x63591,f2(x63592))+E(f329(f329(f37(x63592),f329(f329(f83(x63592),x63591),x63593)),f329(f329(f83(x63592),x63591),x63594)),f329(f329(f37(x63592),x63593),x63594)) % 166.52/166.35 [6423]P1(f329(x64231,x64232))+~E(x64233,f329(f329(f82(a910),x64234),x64232))+~P1(f329(x64231,f329(f329(f23(a910),x64233),x64234))) % 166.52/166.35 [6507]P34(x65071,x65072,x65073)+P33(x65071,f658(x65073,x65072,x65071),x65074)+~P1(f329(f329(f331(f909(x65071)),x65074),x65072)) % 166.52/166.35 [6510]~P1(f329(x65102,x65103))+~P1(f329(f163(x65101,x65102),x65104))+P1(f329(f163(x65101,x65102),f329(f329(f154(x65101),x65103),x65104))) % 166.52/166.35 [6551]E(x65511,f118(x65512))+~E(x65513,f329(f329(f23(a910),f329(f192(f911(x65512)),x65511)),f80(a910)))+E(f147(x65512,f329(f329(f162(x65512,x65511),x65513),x65514)),x65514) % 166.52/166.35 [6574]~P103(x65741)+~P1(f329(f329(f239(x65741),x65742),x65744))+P1(f329(f329(f239(x65741),x65742),f329(f329(f115(x65741),x65743),x65744))) % 166.52/166.35 [6575]~P103(x65751)+~P1(f329(f329(f239(x65751),x65752),x65753))+P1(f329(f329(f239(x65751),x65752),f329(f329(f115(x65751),x65753),x65754))) % 166.52/166.35 [6577]~P112(x65771)+~P1(f329(f329(f239(x65771),x65772),x65774))+P1(f329(f329(f239(x65771),x65772),f329(f329(f238(x65771),x65773),x65774))) % 166.52/166.35 [6579]~P112(x65791)+~P1(f329(f329(f239(x65791),x65792),x65793))+P1(f329(f329(f239(x65791),x65792),f329(f329(f238(x65791),x65793),x65794))) % 166.52/166.35 [6580]~P103(x65801)+~P1(f329(f329(f240(x65801),x65802),x65804))+P1(f329(f329(f240(x65801),x65802),f329(f329(f115(x65801),x65803),x65804))) % 166.52/166.35 [6581]~P103(x65811)+~P1(f329(f329(f240(x65811),x65812),x65813))+P1(f329(f329(f240(x65811),x65812),f329(f329(f115(x65811),x65813),x65814))) % 166.52/166.35 [6583]~P112(x65831)+~P1(f329(f329(f240(x65831),x65832),x65834))+P1(f329(f329(f240(x65831),x65832),f329(f329(f238(x65831),x65833),x65834))) % 166.52/166.35 [6585]~P112(x65851)+~P1(f329(f329(f240(x65851),x65852),x65853))+P1(f329(f329(f240(x65851),x65852),f329(f329(f238(x65851),x65853),x65854))) % 166.52/166.35 [6673]~E(f329(f329(f167(x66731),x66732),x66733),x66734)+E(f329(f329(f162(x66731,x66732),x66733),x66734),x66732)+~P1(f329(f329(f240(a910),x66733),f329(f192(f911(x66731)),x66732))) % 166.52/166.35 [6691]E(x66911,x66912)+P1(f329(x66913,x66911))+~P1(f329(f329(f197(f31(x66913,x66914)),x66911),x66912)) % 166.52/166.35 [6715]P1(f329(x67151,x67152))+~P1(f329(x67153,x67152))+~P1(f329(f329(f239(f918(x67154,a905)),x67153),x67151)) % 166.52/166.35 [6746]~E(f329(f329(f162(x67461,x67462),x67463),x67464),x67462)+E(f329(f329(f167(x67461),x67462),x67463),x67464)+~P1(f329(f329(f240(a910),x67463),f329(f192(f911(x67461)),x67462))) % 166.52/166.35 [6760]~P1(f329(f163(x67601,x67602),x67604))+~P1(f329(f163(x67601,x67602),x67603))+P1(f329(f163(x67601,x67602),f329(f329(f137(x67601),x67603),x67604))) % 166.52/166.35 [6857]P33(x68571,x68572,x68573)+~P33(x68571,f329(a117,x68572),f861(x68572,x68574,x68571))+~P1(f329(f329(f331(f909(x68571)),x68573),x68574)) % 166.52/166.35 [6864]E(x68641,f191(f918(x68642,a905)))+E(x68643,f191(f918(x68644,a905)))+~E(f329(f329(f259(x68644,x68642),x68643),f329(f16(f918(x68642,a905),x68644),x68641)),f191(f918(f917(x68644,x68642),a905))) % 166.52/166.35 [6884]E(x68841,x68842)+P1(f329(f329(f331(x68843),x68841),x68844))+~P1(f329(f329(f331(x68843),x68841),f329(f329(f311(x68843),x68842),x68844))) % 166.52/166.35 [6901]~P112(x69011)+P1(f329(f329(f239(x69011),x69012),x69013))+~P1(f329(f329(f239(x69011),x69012),f329(f329(f237(x69011),x69014),x69013))) % 166.52/166.35 [6903]~P112(x69031)+P1(f329(f329(f239(x69031),x69032),x69033))+~P1(f329(f329(f239(x69031),x69032),f329(f329(f237(x69031),x69033),x69034))) % 166.52/166.35 [6905]~P104(x69051)+P1(f329(f329(f239(x69051),x69052),x69053))+~P1(f329(f329(f239(x69051),x69052),f329(f329(f106(x69051),x69054),x69053))) % 166.52/166.35 [6907]~P104(x69071)+P1(f329(f329(f239(x69071),x69072),x69073))+~P1(f329(f329(f239(x69071),x69072),f329(f329(f106(x69071),x69073),x69074))) % 166.52/166.35 [6908]~P112(x69081)+P1(f329(f329(f240(x69081),x69082),x69083))+~P1(f329(f329(f240(x69081),x69082),f329(f329(f237(x69081),x69084),x69083))) % 166.52/166.35 [6909]~P112(x69091)+P1(f329(f329(f240(x69091),x69092),x69093))+~P1(f329(f329(f240(x69091),x69092),f329(f329(f237(x69091),x69093),x69094))) % 166.52/166.35 [6930]~E(f329(f329(f167(x69301),x69303),x69304),x69302)+P1(f329(f329(f331(x69301),x69302),f329(f175(x69301),x69303)))+~P1(f329(f329(f240(a910),x69304),f329(f192(f911(x69301)),x69303))) % 166.52/166.35 [6940]~P112(x69401)+~P18(x69401,f329(f329(f154(x69401),x69402),f329(f329(f154(x69401),x69403),x69404)))+P1(f329(f329(f239(x69401),x69402),x69403)) % 166.52/166.35 [7082]~P37(x70822,x70821,x70823)+P1(f329(x70821,f329(f329(f167(x70822),x70823),x70824)))+~P1(f329(f329(f240(a910),x70824),f329(f192(f911(x70822)),x70823))) % 166.52/166.35 [7100]E(x71001,f2(a1))+E(f329(f329(f37(a1),x71002),x71001),x71003)+~P1(f329(f50(x71002,x71001),f329(f329(f257(a1,a1),x71003),x71004))) % 166.52/166.35 [7121]E(f46(a1,x71212,x71211),x71213)+E(x71211,f2(a1))+~P1(f329(f50(x71212,x71211),f329(f329(f257(a1,a1),x71214),x71213))) % 166.52/166.35 [7239]P1(f329(f329(f331(x72391),x72392),x72393))+~P1(f329(f329(f331(x72391),x72392),x72394))+~P1(f329(f329(f240(f918(x72391,a905)),x72394),x72393)) % 166.52/166.35 [7240]P1(f329(f329(f331(x72401),x72402),x72403))+~P1(f329(f329(f331(x72401),x72402),x72404))+~P1(f329(f329(f239(f918(x72401,a905)),x72404),x72403)) % 166.52/166.35 [7352]P39(x73521,x73522,x73523)+~P1(f329(x73522,f329(f329(f167(x73521),x73523),x73524)))+~P1(f329(f329(f240(a910),x73524),f329(f192(f911(x73521)),x73523))) % 166.52/166.35 [7473]~P113(x74732)+~P1(f329(f329(f240(f918(x74731,x74732)),x74733),x74734))+P1(f329(f329(f239(f918(x74731,x74732)),x74733),x74734)) % 166.52/166.35 [7560]~P29(x75601,x75602,x75604)+P29(x75601,x75602,f329(f329(f311(f909(x75601)),x75603),x75604))+~P29(x75601,x75602,f329(f329(f311(f909(x75601)),x75603),f191(f918(f909(x75601),a905)))) % 166.52/166.35 [7603]~P1(f329(f329(f331(x76031),x76032),x76034))+P1(f329(f329(f331(x76031),x76032),f38(f918(x76031,a905),x76033)))+~P1(f329(f329(f331(f918(x76031,a905)),x76034),x76033)) % 166.52/166.35 [7613]P33(x76131,x76132,x76133)+P1(f329(f329(f331(f909(x76131)),f861(x76132,x76134,x76131)),x76134))+~P1(f329(f329(f331(f909(x76131)),x76133),x76134)) % 166.52/166.35 [7632]~P84(x76321)+~P1(f329(f329(f239(x76321),x76323),x76324))+P1(f329(f329(f239(x76321),f329(f329(f82(x76321),x76322),x76323)),f329(f329(f82(x76321),x76322),x76324))) % 166.52/166.35 [7633]~P85(x76331)+~P1(f329(f329(f239(x76331),x76333),x76334))+P1(f329(f329(f239(x76331),f329(f329(f82(x76331),x76332),x76333)),f329(f329(f82(x76331),x76332),x76334))) % 166.52/166.35 [7634]~P84(x76341)+~P1(f329(f329(f239(x76341),x76342),x76344))+P1(f329(f329(f239(x76341),f329(f329(f82(x76341),x76342),x76343)),f329(f329(f82(x76341),x76344),x76343))) % 166.52/166.35 [7635]~P85(x76351)+~P1(f329(f329(f239(x76351),x76352),x76354))+P1(f329(f329(f239(x76351),f329(f329(f82(x76351),x76352),x76353)),f329(f329(f82(x76351),x76354),x76353))) % 166.52/166.35 [7636]~P84(x76361)+~P1(f329(f329(f240(x76361),x76363),x76364))+P1(f329(f329(f240(x76361),f329(f329(f82(x76361),x76362),x76363)),f329(f329(f82(x76361),x76362),x76364))) % 166.52/166.35 [7637]~P91(x76371)+~P1(f329(f329(f240(x76371),x76373),x76374))+P1(f329(f329(f240(x76371),f329(f329(f82(x76371),x76372),x76373)),f329(f329(f82(x76371),x76372),x76374))) % 166.52/166.35 [7638]~P84(x76381)+~P1(f329(f329(f240(x76381),x76382),x76384))+P1(f329(f329(f240(x76381),f329(f329(f82(x76381),x76382),x76383)),f329(f329(f82(x76381),x76384),x76383))) % 166.52/166.35 [7639]~P91(x76391)+~P1(f329(f329(f240(x76391),x76392),x76394))+P1(f329(f329(f240(x76391),f329(f329(f82(x76391),x76392),x76393)),f329(f329(f82(x76391),x76394),x76393))) % 166.52/166.35 [7646]~P144(x76461)+~P97(x76461)+E(f329(f329(f82(x76461),f329(f329(f83(x76461),x76462),f329(f108(x76461),x76463))),f329(f329(f83(x76461),x76464),f329(f108(x76461),x76463))),f329(f329(f83(x76461),f329(f329(f82(x76461),x76462),x76464)),f329(f108(x76461),x76463))) % 166.52/166.35 [7647]~P121(x76471)+~P97(x76471)+E(f329(f329(f23(x76471),f329(f329(f83(x76471),x76472),f329(f108(x76471),x76473))),f329(f329(f83(x76471),x76474),f329(f108(x76471),x76473))),f329(f329(f83(x76471),f329(f329(f23(x76471),x76472),x76474)),f329(f108(x76471),x76473))) % 166.52/166.35 [7683]~P5(x76831)+E(f329(f329(f82(x76831),f329(x76832,x76833)),f329(f329(f6(a910,x76831),x76832),f305(a910,f329(a117,x76833),x76834))),f329(f329(f6(a910,x76831),x76832),f305(a910,x76833,x76834)))+~P1(f329(f329(f239(a910),x76833),x76834)) % 166.52/166.35 [7695]~P30(x76952,x76951,x76953,f329(f175(x76952),x76954))+~P1(f329(f140(x76952),x76954))+P1(f329(f140(x76951),f329(f329(f157(x76952,x76951),x76953),x76954))) % 166.52/166.35 [7742]~P1(f329(f329(f239(a910),x77422),x77424))+~P1(f329(f329(f239(a910),x77421),x77423))+P1(f329(f329(f239(a910),f329(f329(f82(a910),x77421),x77422)),f329(f329(f82(a910),x77423),x77424))) % 166.52/166.35 [7743]~P1(f329(f329(f239(a910),x77432),x77434))+~P1(f329(f329(f239(a910),x77431),x77433))+P1(f329(f329(f239(a910),f329(f329(f83(a910),x77431),x77432)),f329(f329(f83(a910),x77433),x77434))) % 166.52/166.35 [7744]~P1(f329(f329(f240(a910),x77442),x77444))+~P1(f329(f329(f240(a910),x77441),x77443))+P1(f329(f329(f240(a910),f329(f329(f82(a910),x77441),x77442)),f329(f329(f82(a910),x77443),x77444))) % 166.52/166.35 [7747]~P1(f329(f329(f239(a1),x77472),x77474))+~P1(f329(f329(f240(a1),x77471),x77473))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x77471),x77472)),f329(f329(f82(a1),x77473),x77474))) % 166.52/166.35 [7796]P1(f329(f329(f331(x77961),x77962),x77963))+~P1(f329(f329(f331(x77961),x77962),f39(f918(x77961,a905),x77964)))+~P1(f329(f329(f331(f918(x77961,a905)),x77963),x77964)) % 166.52/166.35 [7812]~P1(f329(x78121,f683(x78121,x78123,x78122)))+P1(f329(x78121,f329(f329(f167(x78122),x78123),x78124)))+~P1(f329(f329(f240(a910),x78124),f329(f192(f911(x78122)),x78123))) % 166.52/166.35 [7817]P1(f329(x78171,x78172))+~P1(f329(f329(f331(x78174),x78172),f329(f175(x78174),x78173)))+P1(f329(f329(f240(a910),f685(x78171,x78173,x78174)),f329(f192(f911(x78174)),x78173))) % 166.52/166.35 [7834]~P1(f329(f329(f197(x78342),x78343),x78344))+~P1(f329(f329(f197(f31(x78341,x78342)),x78344),x78343))+P1(f329(f329(f197(f31(x78341,x78342)),x78343),x78343)) % 166.52/166.35 [7865]~P113(x78651)+~P1(f329(f329(f240(f918(x78652,x78651)),x78654),x78653))+~P1(f329(f329(f239(f918(x78652,x78651)),x78653),x78654)) % 166.52/166.35 [7910]~P1(f329(x79104,x79102))+~P1(f329(f329(f331(x79101),x79102),x79103))+P1(f329(f329(f331(x79101),x79102),f329(f329(f106(f918(x79101,a905)),x79103),f329(f267(x79101),x79104)))) % 166.52/166.35 [8061]~P1(f329(f329(f331(x80611),x80613),x80614))+~P1(f329(f329(f240(f918(x80611,a905)),x80612),x80614))+P1(f329(f329(f240(f918(x80611,a905)),x80612),f329(f329(f311(x80611),x80613),x80614))) % 166.52/166.35 [8063]E(f329(f329(f106(f918(x80631,a905)),x80632),x80633),f191(f918(x80631,a905)))+~E(f329(f329(f106(f918(x80631,a905)),f38(f918(x80631,a905),x80634)),x80633),f191(f918(x80631,a905)))+~P1(f329(f329(f331(f918(x80631,a905)),x80632),x80634)) % 166.52/166.35 [8141]P1(f329(f329(f331(x81411),x81412),x81413))+~P1(f329(f329(f239(f918(x81411,a905)),x81413),f329(f329(f311(x81411),x81412),x81414)))+P1(f329(f329(f239(f918(x81411,a905)),x81413),x81414)) % 166.52/166.35 [8163]P1(f329(f329(f331(x81632),f683(x81631,x81633,x81632)),f329(f175(x81632),x81633)))+P1(f329(x81631,f329(f329(f167(x81632),x81633),x81634)))+~P1(f329(f329(f240(a910),x81634),f329(f192(f911(x81632)),x81633))) % 166.52/166.35 [8171]~P1(f329(f329(f239(f918(x81711,a905)),x81712),x81714))+P1(f329(f329(f239(f918(x81711,a905)),x81712),x81713))+~P1(f329(f329(f239(f918(x81711,a905)),x81714),x81713)) % 166.52/166.35 [8172]~P1(f329(f329(f240(f918(x81721,a905)),x81722),x81724))+~P1(f329(f329(f239(f918(x81721,a905)),x81724),x81723))+P1(f329(f329(f240(f918(x81721,a905)),x81722),x81723)) % 166.52/166.35 [8173]~P1(f329(f329(f239(f918(x81731,a905)),x81732),x81734))+~P1(f329(f329(f240(f918(x81731,a905)),x81734),x81733))+P1(f329(f329(f240(f918(x81731,a905)),x81732),x81733)) % 166.52/166.35 [8174]~P1(f329(f329(f240(f918(x81741,a905)),x81742),x81744))+P1(f329(f329(f240(f918(x81741,a905)),x81742),x81743))+~P1(f329(f329(f240(f918(x81741,a905)),x81744),x81743)) % 166.52/166.35 [8218]~P1(f329(f329(f331(x82181),x82184),x82183))+~P1(f329(f329(f240(f918(x82181,a905)),x82182),f329(f329(f311(x82181),x82184),x82183)))+P1(f329(f329(f240(f918(x82181,a905)),x82182),x82183)) % 166.52/166.35 [8231]~P84(x82311)+P1(f329(f329(f239(x82311),x82312),x82313))+~P1(f329(f329(f239(x82311),f329(f329(f82(x82311),x82314),x82312)),f329(f329(f82(x82311),x82314),x82313))) % 166.52/166.35 [8233]~P84(x82331)+P1(f329(f329(f239(x82331),x82332),x82333))+~P1(f329(f329(f239(x82331),f329(f329(f82(x82331),x82332),x82334)),f329(f329(f82(x82331),x82333),x82334))) % 166.52/166.35 [8235]~P84(x82351)+P1(f329(f329(f240(x82351),x82352),x82353))+~P1(f329(f329(f240(x82351),f329(f329(f82(x82351),x82354),x82352)),f329(f329(f82(x82351),x82354),x82353))) % 166.52/166.35 [8237]~P84(x82371)+P1(f329(f329(f240(x82371),x82372),x82373))+~P1(f329(f329(f240(x82371),f329(f329(f82(x82371),x82372),x82374)),f329(f329(f82(x82371),x82373),x82374))) % 166.52/166.35 [8283]P1(f329(x82831,x82832))+~E(f329(f329(f141(x82833),f329(f192(f911(x82833)),f180(x82833,x82831,x82834))),x82834),f118(x82833))+~P1(f329(f329(f331(x82833),x82832),f329(f175(x82833),x82834))) % 166.52/166.35 [8403]P1(f329(x84031,x84032))+~P1(f329(f329(f331(x84033),x84032),f329(f175(x84033),x84034)))+P1(f329(f329(f240(a910),f329(f192(f911(x84033)),f329(f139(x84033,x84031),x84034))),f329(f192(f911(x84033)),x84034))) % 166.52/166.35 [8534]E(x85341,x85342)+P1(f329(f329(f197(x85343),x85341),f566(x85342,x85341,x85343,x85344)))+~P1(f329(f329(f197(f31(x85344,x85343)),x85341),x85342)) % 166.52/166.35 [8563]~P1(f329(x85634,x85632))+P1(f329(f329(f197(x85631),x85632),f566(x85633,x85632,x85631,x85634)))+~P1(f329(f329(f197(f31(x85634,x85631)),x85632),x85633)) % 166.52/166.35 [8889]~P1(f329(x88891,f775(x88891,x88893,x88892,x88894)))+P1(f329(x88891,f329(f329(f167(x88892),x88893),x88894)))+~P1(f329(f329(f240(a910),x88894),f329(f192(f911(x88892)),x88893))) % 166.52/166.35 [8914]~P30(x89144,x89143,x89141,f247(f918(x89144,a905)))+E(f329(x89141,f429(x89142,x89141,x89143,x89144)),x89142)+~P1(f329(f329(f331(x89143),x89142),f329(f312(x89144,x89143,x89141),f247(f918(x89144,a905))))) % 166.52/166.35 [8978]E(f180(x89781,x89782,x89783),f329(f329(f178(x89781),x89784),x89783))+P1(f329(f329(f240(a910),f745(x89782,x89783,x89781,x89784)),x89784))+P1(f329(f329(f240(a910),x89784),f329(f192(f911(x89781)),x89783))) % 166.52/166.35 [8981]E(f180(x89811,x89812,x89813),f329(f329(f178(x89811),x89814),x89813))+P1(f329(f329(f240(a910),f745(x89812,x89813,x89811,x89814)),x89814))+P1(f329(x89812,f329(f329(f167(x89811),x89813),x89814))) % 166.52/166.35 [9017]P1(f329(x90171,x90172))+~P1(f329(f329(f331(x90174),x90172),f329(f175(x90174),x90173)))+P1(f329(f329(f240(a910),f718(x90172,x90171,x90173,x90174)),f329(f192(f911(x90174)),x90173))) % 166.52/166.35 [9020]E(f180(x90201,x90202,x90203),f329(f329(f178(x90201),x90204),x90203))+P1(f329(f329(f240(a910),x90204),f329(f192(f911(x90201)),x90203)))+P1(f329(f329(f240(a910),f745(x90202,x90203,x90201,x90204)),f329(f192(f911(x90201)),x90203))) % 166.52/166.35 [9027]E(f180(x90271,x90272,x90273),f329(f329(f178(x90271),x90274),x90273))+P1(f329(x90272,f329(f329(f167(x90271),x90273),x90274)))+P1(f329(f329(f240(a910),f745(x90272,x90273,x90271,x90274)),f329(f192(f911(x90271)),x90273))) % 166.52/166.35 [9056]~P122(x90564)+P1(f329(f329(f331(x90561),f670(x90562,x90563,x90561,x90564)),x90563))+P1(f329(f329(f240(x90564),f2(x90564)),f329(f329(f9(x90561,x90564),x90562),x90563))) % 166.52/166.35 [9057]~P122(x90574)+P1(f329(f329(f331(x90571),f671(x90572,x90573,x90571,x90574)),x90573))+P1(f329(f329(f239(x90574),f2(x90574)),f329(f329(f9(x90571,x90574),x90572),x90573))) % 166.52/166.35 [9082]~P1(f329(f62(x90821),x90824))+P1(f329(f329(f331(x90821),f557(x90822,x90823,x90824,x90821)),x90824))+P1(f329(f62(f917(x90821,x90823)),f329(f329(f259(x90821,x90823),x90824),x90822))) % 166.52/166.35 [9114]P1(f329(f329(f331(x91142),f775(x91141,x91143,x91142,x91144)),f329(f175(x91142),x91143)))+P1(f329(x91141,f329(f329(f167(x91142),x91143),x91144)))+~P1(f329(f329(f240(a910),x91144),f329(f192(f911(x91142)),x91143))) % 166.52/166.35 [9129]E(x91291,x91292)+P1(f329(f329(f197(f31(x91293,x91294)),f566(x91291,x91292,x91294,x91293)),x91291))+~P1(f329(f329(f197(f31(x91293,x91294)),x91292),x91291)) % 166.52/166.35 [9150]~P1(f329(x91501,x91504))+P1(f329(f329(f197(f31(x91501,x91502)),f566(x91503,x91504,x91502,x91501)),x91503))+~P1(f329(f329(f197(f31(x91501,x91502)),x91504),x91503)) % 166.52/166.35 [9246]P1(f329(f329(f239(a910),x92464),f329(f192(f911(x92462)),f180(x92462,x92463,x92461))))+P1(f329(f329(f240(a910),f747(x92461,x92462,x92463,x92464)),x92464))+~P1(f329(f329(f239(a910),x92464),f329(f192(f911(x92462)),x92461))) % 166.52/166.35 [9403]E(f180(x94031,x94032,x94033),f329(f329(f178(x94031),x94034),x94033))+~P1(f329(x94032,f329(f329(f167(x94031),x94033),f745(x94032,x94033,x94031,x94034))))+P1(f329(f329(f240(a910),x94034),f329(f192(f911(x94031)),x94033))) % 166.52/166.35 [9410]E(f180(x94101,x94102,x94103),f329(f329(f178(x94101),x94104),x94103))+~P1(f329(x94102,f329(f329(f167(x94101),x94103),f745(x94102,x94103,x94101,x94104))))+P1(f329(x94102,f329(f329(f167(x94101),x94103),x94104))) % 166.52/166.35 [9414]~P1(f329(f62(x94141),x94143))+~P1(f329(f62(x94142),f329(x94144,f557(x94144,x94142,x94143,x94141))))+P1(f329(f62(f917(x94141,x94142)),f329(f329(f259(x94141,x94142),x94143),x94144))) % 166.52/166.35 [9422]~P122(x94221)+~P1(f329(f329(f239(x94221),f2(x94221)),f329(x94223,f671(x94223,x94224,x94222,x94221))))+P1(f329(f329(f239(x94221),f2(x94221)),f329(f329(f9(x94222,x94221),x94223),x94224))) % 166.52/166.35 [9423]~P122(x94231)+~P1(f329(f329(f240(x94231),f2(x94231)),f329(x94233,f670(x94233,x94234,x94232,x94231))))+P1(f329(f329(f240(x94231),f2(x94231)),f329(f329(f9(x94232,x94231),x94233),x94234))) % 166.52/166.35 [9431]~E(f329(f192(f911(x94314)),x94312),f329(f192(f911(x94314)),x94313))+P1(f329(f329(f331(f917(f911(x94314),f911(x94314))),f329(f329(f257(f911(x94314),f911(x94314)),x94313),x94312)),f161(x94314,x94311)))+P1(f329(f329(f240(a910),f672(x94311,x94312,x94313,x94314)),f329(f192(f911(x94314)),x94313))) % 166.52/166.35 [9483]~P1(f329(x94833,f329(f329(f167(x94832),x94834),f747(x94834,x94832,x94833,x94831))))+P1(f329(f329(f239(a910),x94831),f329(f192(f911(x94832)),f180(x94832,x94833,x94834))))+~P1(f329(f329(f239(a910),x94831),f329(f192(f911(x94832)),x94834))) % 166.52/166.35 [9562]E(f329(f329(f178(x95621),f684(x95622,x95623,x95624,x95621)),x95623),f329(f329(f178(x95621),f684(x95622,x95623,x95624,x95621)),x95624))+~P1(f329(f329(f331(f917(f911(x95621),f911(x95621))),f329(f329(f257(f911(x95621),f911(x95621)),x95624),x95623)),f150(x95621,x95622)))+P1(f329(f329(f240(a910),f329(f192(f911(x95621)),x95624)),f329(f192(f911(x95621)),x95623))) % 166.52/166.35 [9620]~P1(f329(f329(f240(a910),f2(a910)),x96203))+~P1(f329(f329(f240(a910),x96204),x96201))+P1(f329(f329(f240(a910),f329(f329(f82(a910),f329(f329(f83(a910),x96201),f46(a910,x96202,x96203))),x96204)),f329(f329(f83(a910),x96201),x96203))) % 166.52/166.35 [9812]~P113(x98122)+~P1(f329(f329(f239(x98122),f329(x98123,f676(x98124,x98123,x98121,x98122))),f329(x98124,f676(x98124,x98123,x98121,x98122))))+P1(f329(f329(f239(f918(x98121,x98122)),x98123),x98124)) % 166.52/166.35 [9914]~P75(x99141)+E(f329(f329(f6(a910,x99141),f329(f329(f18(a910,x99141,x99141),f329(f329(f8(x99141,f918(x99141,x99141),a910),f23(x99141)),x99142)),f329(f329(f8(a910,x99141,a910),x99142),f329(f329(f7(a910,a910,a910),f82(a910)),f80(a910))))),f305(a910,x99143,x99144)),f329(f329(f23(x99141),f329(x99142,x99143)),f329(x99142,f329(f329(f82(a910),x99144),f80(a910)))))+~P1(f329(f329(f239(a910),x99143),x99144)) % 166.52/166.35 [6934]E(f329(f329(f137(x69341),x69342),x69343),x69344)+~E(x69343,f329(f329(f141(x69341),f329(f192(f911(x69341)),x69342)),x69344))+~E(f329(f329(f178(x69341),f329(f192(f911(x69341)),x69342)),x69344),x69342) % 166.52/166.35 [6987]~P72(x69872)+E(x69871,f2(x69872))+E(f329(f329(f292(x69872),f329(f329(f249(x69872),x69873),x69874)),f329(f329(f249(x69872),x69871),x69874)),f329(f329(f249(x69872),f329(f329(f292(x69872),x69873),x69871)),x69874)) % 166.52/166.35 [7137]~P104(x71371)+~P1(f329(f329(f239(x71371),x71373),x71374))+P1(f329(f329(f239(x71371),f329(f329(f106(x71371),x71372),x71373)),x71374)) % 166.52/166.35 [7138]~P104(x71381)+~P1(f329(f329(f239(x71381),x71382),x71384))+P1(f329(f329(f239(x71381),f329(f329(f106(x71381),x71382),x71383)),x71384)) % 166.52/166.35 [7140]~P112(x71401)+~P1(f329(f329(f239(x71401),x71403),x71404))+P1(f329(f329(f239(x71401),f329(f329(f237(x71401),x71402),x71403)),x71404)) % 166.52/166.35 [7142]~P112(x71421)+~P1(f329(f329(f239(x71421),x71422),x71424))+P1(f329(f329(f239(x71421),f329(f329(f237(x71421),x71422),x71423)),x71424)) % 166.52/166.35 [7143]~P104(x71431)+~P1(f329(f329(f240(x71431),x71433),x71434))+P1(f329(f329(f240(x71431),f329(f329(f106(x71431),x71432),x71433)),x71434)) % 166.52/166.35 [7144]~P104(x71441)+~P1(f329(f329(f240(x71441),x71442),x71444))+P1(f329(f329(f240(x71441),f329(f329(f106(x71441),x71442),x71443)),x71444)) % 166.52/166.35 [7146]~P112(x71461)+~P1(f329(f329(f240(x71461),x71463),x71464))+P1(f329(f329(f240(x71461),f329(f329(f237(x71461),x71462),x71463)),x71464)) % 166.52/166.35 [7148]~P112(x71481)+~P1(f329(f329(f240(x71481),x71482),x71484))+P1(f329(f329(f240(x71481),f329(f329(f237(x71481),x71482),x71483)),x71484)) % 166.52/166.35 [7171]~P1(f329(x71713,x71714))+~P1(f329(x71712,x71714))+P1(f329(f329(f329(f106(f918(x71711,a905)),x71712),x71713),x71714)) % 166.52/166.35 [7294]P29(x72941,x72942,x72943)+~P29(x72941,x72944,x72943)+~P1(f329(f329(f239(f918(f909(x72941),a905)),x72944),x72942)) % 166.52/166.35 [7295]P29(x72951,x72952,x72953)+~P29(x72951,x72952,x72954)+~P1(f329(f329(f239(f918(f909(x72951),a905)),x72953),x72954)) % 166.52/166.35 [7673]~P5(x76731)+E(f329(f329(f82(x76731),f329(x76732,x76733)),f329(f329(f6(a910,x76731),x76732),f329(f304(a910,f329(a117,x76733)),x76734))),f329(f329(f6(a910,x76731),x76732),f329(f304(a910,x76733),x76734)))+~P1(f329(f329(f240(a910),x76733),x76734)) % 166.52/166.35 [7691]E(x76911,x76912)+P1(f329(f329(f175(x76913),x76914),x76912))+~P1(f329(f329(f175(x76913),f329(f329(f154(x76913),x76911),x76914)),x76912)) % 166.52/166.35 [7703]~P103(x77031)+P1(f329(f329(f239(x77031),x77032),x77033))+~P1(f329(f329(f239(x77031),f329(f329(f115(x77031),x77034),x77032)),x77033)) % 166.52/166.35 [7705]~P103(x77051)+P1(f329(f329(f239(x77051),x77052),x77053))+~P1(f329(f329(f239(x77051),f329(f329(f115(x77051),x77052),x77054)),x77053)) % 166.52/166.35 [7707]~P112(x77071)+P1(f329(f329(f239(x77071),x77072),x77073))+~P1(f329(f329(f239(x77071),f329(f329(f238(x77071),x77074),x77072)),x77073)) % 166.52/166.35 [7709]~P112(x77091)+P1(f329(f329(f239(x77091),x77092),x77093))+~P1(f329(f329(f239(x77091),f329(f329(f238(x77091),x77092),x77094)),x77093)) % 166.52/166.35 [7710]~P112(x77101)+P1(f329(f329(f240(x77101),x77102),x77103))+~P1(f329(f329(f240(x77101),f329(f329(f238(x77101),x77104),x77102)),x77103)) % 166.52/166.35 [7711]~P112(x77111)+P1(f329(f329(f240(x77111),x77112),x77113))+~P1(f329(f329(f240(x77111),f329(f329(f238(x77111),x77112),x77114)),x77113)) % 166.52/166.35 [7787]~P1(f329(f329(f331(x77871),x77872),x77874))+P1(f329(f329(f331(x77871),x77872),x77873))+P1(f329(f329(f331(x77871),x77872),f329(f329(f23(f918(x77871,a905)),x77874),x77873))) % 166.52/166.35 [7872]P1(f329(x78721,x78722))+P1(f329(x78723,x78722))+~P1(f329(f329(f329(f115(f918(x78724,a905)),x78723),x78721),x78722)) % 166.52/166.35 [7883]~P1(f329(f329(f331(x78831),x78832),x78834))+~P1(f329(f329(f331(x78831),x78832),x78833))+P1(f329(f329(f331(x78831),x78832),f329(f329(f106(f918(x78831,a905)),x78833),x78834))) % 166.52/166.35 [7938]~P103(x79381)+~P1(f329(f62(x79381),x79384))+E(f329(f329(f65(x79381,x79381,f115(x79381)),x79382),f329(f329(f311(x79381),x79383),x79384)),f329(f329(f115(x79381),x79383),f329(f329(f65(x79381,x79381,f115(x79381)),x79382),x79384))) % 166.52/166.35 [7939]~P104(x79391)+~P1(f329(f62(x79391),x79394))+E(f329(f329(f65(x79391,x79391,f106(x79391)),x79392),f329(f329(f311(x79391),x79393),x79394)),f329(f329(f106(x79391),x79393),f329(f329(f65(x79391,x79391,f106(x79391)),x79392),x79394))) % 166.52/166.35 [7940]~P112(x79401)+~P1(f329(f62(x79401),x79404))+E(f329(f329(f65(x79401,x79401,f237(x79401)),x79402),f329(f329(f311(x79401),x79403),x79404)),f329(f329(f237(x79401),x79403),f329(f329(f65(x79401,x79401,f237(x79401)),x79402),x79404))) % 166.52/166.35 [7941]~P112(x79411)+~P1(f329(f62(x79411),x79414))+E(f329(f329(f65(x79411,x79411,f238(x79411)),x79412),f329(f329(f311(x79411),x79413),x79414)),f329(f329(f238(x79411),x79413),f329(f329(f65(x79411,x79411,f238(x79411)),x79412),x79414))) % 166.52/166.35 [7942]~P144(x79421)+~P97(x79421)+E(f329(f329(f82(x79421),f329(f329(f83(x79421),f329(f108(x79421),x79422)),x79423)),f329(f329(f83(x79421),f329(f108(x79421),x79422)),x79424)),f329(f329(f83(x79421),f329(f108(x79421),x79422)),f329(f329(f82(x79421),x79423),x79424))) % 166.52/166.35 [7943]~P121(x79431)+~P97(x79431)+E(f329(f329(f23(x79431),f329(f329(f83(x79431),f329(f108(x79431),x79432)),x79433)),f329(f329(f83(x79431),f329(f108(x79431),x79432)),x79434)),f329(f329(f83(x79431),f329(f108(x79431),x79432)),f329(f329(f23(x79431),x79433),x79434))) % 166.52/166.35 [8058]E(x80581,x80582)+P1(f329(f329(f331(x80583),x80581),f329(f175(x80583),x80584)))+~P1(f329(f329(f331(x80583),x80581),f329(f175(x80583),f329(f329(f154(x80583),x80582),x80584)))) % 166.52/166.35 [8243]P62(x82431,x82432,x82433)+~P62(x82431,x82432,x82434)+~P1(f329(f329(f239(f918(f917(x82431,x82432),a905)),x82433),x82434)) % 166.52/166.35 [8285]P1(f329(f329(f331(x82851),x82852),x82853))+P1(f329(f329(f331(x82851),x82852),x82854))+~P1(f329(f329(f331(x82851),x82852),f329(f329(f115(f918(x82851,a905)),x82854),x82853))) % 166.52/166.35 [8296]~P60(x82961,x82964,x82963)+~P1(f329(f329(f331(x82961),x82962),x82964))+P1(f329(f329(f331(f917(x82961,x82961)),f329(f329(f257(x82961,x82961),x82962),x82962)),x82963)) % 166.52/166.35 [8308]~P1(f329(f62(x83082),x83084))+~P1(f329(f62(x83081),x83083))+P1(f329(f62(f917(x83081,x83082)),f329(f329(f259(x83081,x83082),x83083),f329(f16(f918(x83082,a905),x83081),x83084)))) % 166.52/166.35 [8309]~P1(f329(f329(f331(x83091),x83092),x83094))+~P1(f329(f329(f239(f918(x83091,a905)),x83093),x83094))+P1(f329(f329(f239(f918(x83091,a905)),f329(f329(f311(x83091),x83092),x83093)),x83094)) % 166.52/166.35 [8316]~P109(x83162)+~P80(x83162)+E(f329(f329(f9(x83161,x83162),f329(f329(f8(a910,x83162,x83161),f105(x83162)),x83163)),x83164),f329(f105(x83162),f329(f329(f9(x83161,a910),x83163),x83164))) % 166.52/166.35 [8317]~P120(x83172)+~P80(x83172)+E(f329(f329(f9(x83171,x83172),f329(f329(f8(a1,x83172,x83171),f107(x83172)),x83173)),x83174),f329(f107(x83172),f329(f329(f9(x83171,a1),x83173),x83174))) % 166.52/166.35 [8342]E(f329(f329(f23(f918(x83421,a905)),x83422),f329(f329(f23(f918(x83421,a905)),x83423),x83424)),x83424)+~P1(f329(f329(f239(f918(x83421,a905)),x83422),x83423))+~P1(f329(f329(f239(f918(x83421,a905)),x83424),x83422)) % 166.52/166.35 [8441]~P1(f329(f62(x84411),x84414))+E(f329(f329(f23(a910),f329(f329(f6(x84411,a910),x84412),x84413)),f329(f329(f6(x84411,a910),x84412),x84414)),f329(f329(f6(x84411,a910),x84412),f329(f329(f23(f918(x84411,a905)),x84413),x84414)))+~P1(f329(f329(f239(f918(x84411,a905)),x84414),x84413)) % 166.52/166.35 [8598]~P13(x85981,x85984,x85983)+~P1(f329(f329(f331(x85981),x85982),x85984))+P1(f329(f329(f331(x85981),x85982),f329(f288(x85981,x85981,x85983),f329(f329(f311(x85981),x85982),f191(f918(x85981,a905)))))) % 166.52/166.35 [8666]~P1(f329(f329(f239(f918(x86661,a905)),x86662),x86663))+~P1(f329(f329(f239(f918(x86661,a905)),x86662),x86664))+P1(f329(f329(f239(f918(x86661,a905)),x86662),f329(f329(f106(f918(x86661,a905)),x86663),x86664))) % 166.52/166.35 [8763]E(x87631,f191(f918(x87632,a905)))+P1(f329(f62(x87633),x87634))+~P1(f329(f62(f917(x87633,x87632)),f329(f329(f259(x87633,x87632),x87634),f329(f16(f918(x87632,a905),x87633),x87631)))) % 166.52/166.35 [8764]E(x87641,f191(f918(x87642,a905)))+P1(f329(f62(x87643),x87644))+~P1(f329(f62(f917(x87642,x87643)),f329(f329(f259(x87642,x87643),x87641),f329(f16(f918(x87643,a905),x87642),x87644)))) % 166.52/166.35 [8831]P1(f329(f329(f331(x88311),x88312),f318(x88311,x88313)))+~P1(f329(f329(f331(x88311),x88314),f318(x88311,x88313)))+~P1(f329(f329(f331(f917(x88311,x88311)),f329(f329(f257(x88311,x88311),x88312),x88314)),x88313)) % 166.52/166.35 [8882]~P43(x88821,x88824)+P1(f329(f329(f331(f917(x88821,x88821)),f329(f329(f257(x88821,x88821),x88823),x88822)),f309(x88821,x88824)))+P43(x88821,f329(f329(f311(f917(x88821,x88821)),f329(f329(f257(x88821,x88821),x88822),x88823)),x88824)) % 166.52/166.35 [8883]~P65(x88831,x88834)+P1(f329(f329(f331(f917(x88831,x88831)),f329(f329(f257(x88831,x88831),x88833),x88832)),f309(x88831,x88834)))+P65(x88831,f329(f329(f311(f917(x88831,x88831)),f329(f329(f257(x88831,x88831),x88832),x88833)),x88834)) % 166.52/166.35 [8963]~E(x89632,x89633)+~P1(f329(f329(f331(x89631),x89632),f329(f175(x89631),x89634)))+P1(f329(f329(f331(f917(x89631,x89631)),f329(f329(f257(x89631,x89631),x89632),x89633)),f329(f175(f917(x89631,x89631)),f329(f329(f184(x89631,x89631),x89634),x89634)))) % 166.52/166.35 [8988]~P46(f918(x89881,a905),f918(x89881,a905),x89883)+~P1(f329(f329(f331(x89881),x89882),f101(f918(x89881,a905),x89883)))+P1(f329(f329(f331(x89881),x89882),f329(x89883,f329(f329(f115(f918(x89881,a905)),x89884),f101(f918(x89881,a905),x89883))))) % 166.52/166.35 [9055]~E(x90553,x90554)+P1(f329(f329(f262(x90551,x90551,a905),a326),x90552))+~P1(f329(f329(f331(f917(x90551,x90551)),x90552),f329(f175(f917(x90551,x90551)),f329(f329(f184(x90551,x90551),x90553),x90554)))) % 166.52/166.35 [9098]P1(f329(f329(f331(f917(f911(x90981),f911(x90981))),f329(f329(f257(f911(x90981),f911(x90981)),x90982),x90983)),f150(x90981,x90984)))+~E(f329(f329(f178(x90981),f329(f192(f911(x90981)),x90982)),x90983),x90982)+~P1(f329(f329(f240(a910),f329(f192(f911(x90981)),x90982)),f329(f192(f911(x90981)),x90983))) % 166.52/166.35 [9101]~P59(x91011,x91014)+~P1(f329(f329(f331(f917(x91011,x91011)),f329(f329(f257(x91011,x91011),x91013),x91012)),x91014))+P1(f329(f329(f331(f917(x91011,x91011)),f329(f329(f257(x91011,x91011),x91012),x91013)),x91014)) % 166.52/166.35 [9196]~P1(f329(f62(x91961),x91964))+P1(f329(f329(f331(x91961),f419(x91962,x91963,x91964,x91961)),x91964))+P1(f329(f62(x91963),f329(f329(f40(x91961,f918(x91963,a905)),x91964),x91962))) % 166.52/166.35 [9197]~P1(f329(f62(x91971),x91974))+P1(f329(f329(f331(x91971),f431(x91972,x91973,x91974,x91971)),x91974))+P1(f329(f62(x91973),f329(f329(f40(x91971,f918(x91973,a905)),x91974),x91972))) % 166.52/166.35 [9291]P1(f329(f329(f331(f917(x92911,x92911)),x92912),f329(f329(f291(x92911,x92911,x92911),x92913),f309(x92911,x92913))))+~P1(f329(f329(f240(a910),f2(a910)),x92914))+~P1(f329(f329(f331(f917(x92911,x92911)),x92912),f329(f329(f186(f917(x92911,x92911),a905),x92914),x92913))) % 166.52/166.35 [9299]~P43(x92991,x92992)+~P1(f329(f329(f331(f917(x92991,x92991)),f329(f329(f257(x92991,x92991),x92994),x92993)),x92992))+~P1(f329(f329(f331(f917(x92991,x92991)),f329(f329(f257(x92991,x92991),x92993),x92994)),x92992)) % 166.52/166.35 [9421]~P1(f329(f62(x94211),x94214))+E(f329(f329(f6(x94211,a910),f329(f329(f8(f918(x94212,a905),a910,x94211),f36(x94212)),x94213)),x94214),f329(f36(f917(x94211,x94212)),f329(f329(f259(x94211,x94212),x94214),x94213)))+P1(f329(f329(f331(x94211),f558(x94213,x94212,x94214,x94211)),x94214)) % 166.52/166.35 [9425]~P1(f329(f140(x94251),x94252))+P1(f329(f140(x94251),f329(f329(f162(x94251,x94252),x94253),x94254)))+P1(f329(f329(f331(x94251),x94254),f329(f329(f23(f918(x94251,a905)),f329(f175(x94251),x94252)),f329(f329(f311(x94251),f329(f329(f167(x94251),x94252),x94253)),f191(f918(x94251,a905)))))) % 166.52/166.35 [9442]~P1(f329(f62(x94422),x94423))+~P1(f329(f62(x94421),f329(x94424,f419(x94424,x94421,x94423,x94422))))+P1(f329(f62(x94421),f329(f329(f40(x94422,f918(x94421,a905)),x94423),x94424))) % 166.52/166.35 [9443]~P1(f329(f62(x94432),x94433))+~P1(f329(f62(x94431),f329(x94434,f431(x94434,x94431,x94433,x94432))))+P1(f329(f62(x94431),f329(f329(f40(x94432,f918(x94431,a905)),x94433),x94434))) % 166.52/166.35 [9520]~P1(f329(f329(f331(f917(x95201,x95201)),x95202),f329(f329(f291(x95201,x95201,x95201),x95204),f309(x95201,x95204))))+P1(f329(f329(f331(f917(x95201,x95201)),x95202),f329(f329(f291(x95201,x95201,x95201),x95203),f309(x95201,x95203))))+~P1(f329(f329(f239(f918(f917(x95201,x95201),a905)),x95204),x95203)) % 166.52/166.35 [9527]E(f329(f329(f178(x95271),f684(x95274,x95273,x95272,x95271)),x95273),f329(f329(f178(x95271),f684(x95274,x95273,x95272,x95271)),x95272))+~P1(f329(f329(f331(f917(f911(x95271),f911(x95271))),f329(f329(f257(f911(x95271),f911(x95271)),x95272),x95273)),f150(x95271,x95274)))+E(f329(f329(f178(x95271),f329(f192(f911(x95271)),x95272)),x95273),x95272) % 166.52/166.35 [9544]~P1(f329(f62(x95441),x95444))+E(f329(f329(f6(x95441,a910),f329(f329(f8(f918(x95442,a905),a910,x95441),f36(x95442)),x95443)),x95444),f329(f36(f917(x95441,x95442)),f329(f329(f259(x95441,x95442),x95444),x95443)))+~P1(f329(f62(x95442),f329(x95443,f558(x95443,x95442,x95444,x95441)))) % 166.52/166.35 [9549]~E(f329(f192(f911(x95491)),x95493),f329(f192(f911(x95491)),x95492))+P1(f329(f329(f331(f917(f911(x95491),f911(x95491))),f329(f329(f257(f911(x95491),f911(x95491)),x95492),x95493)),f161(x95491,x95494)))+P1(f329(f329(f331(f917(x95491,x95491)),f687(x95494,x95493,x95492,x95491)),f329(f175(f917(x95491,x95491)),f329(f329(f184(x95491,x95491),x95492),x95493)))) % 166.52/166.35 [9632]~P1(f329(f329(f331(f917(f911(x96321),f911(x96321))),f329(f329(f257(f911(x96321),f911(x96321)),x96322),x96323)),f150(x96321,x96324)))+E(f329(f329(f178(x96321),f329(f192(f911(x96321)),x96322)),x96323),x96322)+P1(f329(f329(f240(a910),f684(x96324,x96323,x96322,x96321)),f329(f329(f237(a910),f329(f192(f911(x96321)),x96322)),f329(f192(f911(x96321)),x96323)))) % 166.52/166.35 [9654]~P1(f329(f329(f331(f917(f911(x96541),f911(x96541))),f329(f329(f257(f911(x96541),f911(x96541)),x96542),x96543)),f150(x96541,x96544)))+P1(f329(f329(f240(a910),f329(f192(f911(x96541)),x96542)),f329(f192(f911(x96541)),x96543)))+P1(f329(f329(f240(a910),f684(x96544,x96543,x96542,x96541)),f329(f329(f237(a910),f329(f192(f911(x96541)),x96542)),f329(f192(f911(x96541)),x96543)))) % 166.52/166.35 [10057]~P1(f329(f329(f331(f917(f911(x100571),f911(x100571))),f329(f329(f257(f911(x100571),f911(x100571)),x100572),x100573)),f150(x100571,x100574)))+E(f329(f329(f178(x100571),f329(f192(f911(x100571)),x100572)),x100573),x100572)+P1(f329(f329(f331(f917(x100571,x100571)),f329(f329(f257(x100571,x100571),f329(f329(f167(x100571),x100572),f684(x100574,x100573,x100572,x100571))),f329(f329(f167(x100571),x100573),f684(x100574,x100573,x100572,x100571)))),x100574)) % 166.52/166.35 [10058]~P1(f329(f329(f331(f917(f911(x100581),f911(x100581))),f329(f329(f257(f911(x100581),f911(x100581)),x100582),x100583)),f150(x100581,x100584)))+P1(f329(f329(f240(a910),f329(f192(f911(x100581)),x100582)),f329(f192(f911(x100581)),x100583)))+P1(f329(f329(f331(f917(x100581,x100581)),f329(f329(f257(x100581,x100581),f329(f329(f167(x100581),x100582),f684(x100584,x100583,x100582,x100581))),f329(f329(f167(x100581),x100583),f684(x100584,x100583,x100582,x100581)))),x100584)) % 166.52/166.35 [10114]~E(f329(f192(f911(x101141)),x101142),f329(f192(f911(x101141)),x101143))+P1(f329(f329(f331(f917(f911(x101141),f911(x101141))),f329(f329(f257(f911(x101141),f911(x101141)),x101142),x101143)),f161(x101141,x101144)))+~P1(f329(f329(f331(f917(x101141,x101141)),f329(f329(f257(x101141,x101141),f329(f329(f167(x101141),x101142),f672(x101144,x101143,x101142,x101141))),f329(f329(f167(x101141),x101143),f672(x101144,x101143,x101142,x101141)))),x101144)) % 166.52/166.35 [10259]~P5(x102591)+~P1(f329(f62(x102592),x102594))+E(f329(f168(x102591),f329(f329(f157(x102592,x102591),x102593),f92(f911(x102592),f329(f329(f18(f911(x102592),a905,a905),f329(f329(f8(a905,f918(a905,a905),f911(x102592)),a327),f329(f329(f7(f911(x102592),f918(x102592,a905),a905),f329(f329(f8(f918(x102592,a905),f918(f918(x102592,a905),a905),f911(x102592)),a326),f175(x102592))),x102594))),f140(x102592))))),f235(x102592,x102591,x102593,x102594)) % 166.52/166.35 [7517]~P71(x75172)+E(x75171,f2(x75172))+E(f329(f329(f292(x75172),f329(f329(f82(x75172),x75173),f329(f329(f83(x75172),x75174),x75171))),x75171),f329(f329(f82(x75172),x75174),f329(f329(f292(x75172),x75173),x75171))) % 166.52/166.35 [7518]~P68(x75182)+E(x75181,f2(x75182))+E(f329(f329(f37(x75182),f329(f329(f82(x75182),x75183),f329(f329(f83(x75182),x75184),x75181))),x75181),f329(f329(f82(x75182),x75184),f329(f329(f37(x75182),x75183),x75181))) % 166.52/166.35 [7519]~P68(x75192)+E(x75191,f2(x75192))+E(f329(f329(f37(x75192),f329(f329(f82(x75192),x75193),f329(f329(f83(x75192),x75191),x75194))),x75191),f329(f329(f82(x75192),x75194),f329(f329(f37(x75192),x75193),x75191))) % 166.52/166.35 [7751]~P71(x77512)+E(x77511,f2(x77512))+E(f329(f329(f292(x77512),f329(f329(f82(x77512),x77513),f329(f329(f83(x77512),x77514),x77511))),x77511),f329(f329(f82(x77512),f329(f329(f292(x77512),x77513),x77511)),x77514)) % 166.52/166.35 [7752]~P72(x77522)+E(x77521,f2(x77522))+E(f329(f329(f292(x77522),f329(f329(f82(x77522),x77523),f329(f329(f83(x77522),x77521),x77524))),x77521),f329(f329(f82(x77522),f329(f329(f292(x77522),x77523),x77521)),x77524)) % 166.52/166.35 [7753]~P72(x77532)+E(x77531,f2(x77532))+E(f329(f329(f292(x77532),f329(f329(f23(x77532),x77533),f329(f329(f83(x77532),x77531),x77534))),x77531),f329(f329(f23(x77532),f329(f329(f292(x77532),x77533),x77531)),x77534)) % 166.52/166.35 [8470]~P1(f329(f163(x84701,x84703),x84704))+~P1(f329(f163(x84701,x84702),x84704))+P1(f329(f163(x84701,f329(f329(f106(f918(x84701,a905)),x84702),x84703)),x84704)) % 166.52/166.35 [8845]~E(f329(f329(f291(x88451,x88451,x88451),x88452),x88454),f191(f918(f917(x88451,x88451),a905)))+~E(f329(f329(f291(x88451,x88451,x88451),x88452),x88453),f191(f918(f917(x88451,x88451),a905)))+E(f329(f329(f291(x88451,x88451,x88451),x88452),f329(f329(f115(f918(f917(x88451,x88451),a905)),x88453),x88454)),f191(f918(f917(x88451,x88451),a905))) % 166.52/166.35 [8964]~P1(f329(f329(f239(f918(x89641,a905)),x89643),x89644))+~P1(f329(f329(f239(f918(x89641,a905)),x89642),x89644))+P1(f329(f329(f239(f918(x89641,a905)),f329(f329(f115(f918(x89641,a905)),x89642),x89643)),x89644)) % 166.52/166.35 [9352]~P1(f329(f62(x93521),x93524))+~P1(f329(f62(x93521),x93523))+E(f329(f329(f23(a910),f329(f329(f82(a910),f329(f329(f6(x93521,a910),x93522),x93523)),f329(f329(f6(x93521,a910),x93522),x93524))),f329(f329(f6(x93521,a910),x93522),f329(f329(f106(f918(x93521,a905)),x93523),x93524))),f329(f329(f6(x93521,a910),x93522),f329(f329(f115(f918(x93521,a905)),x93523),x93524))) % 166.52/166.35 [9438]~P1(f329(f329(f331(x94381),x94383),x94382))+~P1(f329(f329(f239(f918(x94381,a905)),x94382),f329(f329(f311(x94381),x94383),x94384)))+P1(f329(f329(f239(f918(x94381,a905)),f329(f329(f23(f918(x94381,a905)),x94382),f329(f329(f311(x94381),x94383),f191(f918(x94381,a905))))),x94384)) % 166.52/166.35 [9606]~P1(f329(f329(f331(x96061),x96063),x96062))+P1(f329(f329(f239(f918(x96061,a905)),x96062),f329(f329(f311(x96061),x96063),x96064)))+~P1(f329(f329(f239(f918(x96061,a905)),f329(f329(f23(f918(x96061,a905)),x96062),f329(f329(f311(x96061),x96063),f191(f918(x96061,a905))))),x96064)) % 166.52/166.35 [9694]~P1(f329(f329(f239(a910),x96941),x96943))+~P1(f329(f329(f240(a910),x96942),x96944))+P1(f329(f329(f331(f917(f917(a910,a910),f917(a910,a910))),f329(f329(f257(f917(a910,a910),f917(a910,a910)),f329(f329(f257(a910,a910),x96941),x96942)),f329(f329(f257(a910,a910),x96943),x96944))),a34)) % 166.52/166.35 [9695]~P1(f329(f329(f239(a910),x96952),x96954))+~P1(f329(f329(f239(a910),x96951),x96953))+P1(f329(f329(f331(f917(f917(a910,a910),f917(a910,a910))),f329(f329(f257(f917(a910,a910),f917(a910,a910)),f329(f329(f257(a910,a910),x96951),x96952)),f329(f329(f257(a910,a910),x96953),x96954))),a72)) % 166.52/166.35 [9987]~P1(f329(f329(f331(f911(x99871)),x99874),f164(x99871,x99873)))+~P1(f329(f329(f331(f911(x99871)),x99874),f164(x99871,x99872)))+P1(f329(f163(x99871,f329(f329(f106(f918(x99871,a905)),f329(f329(f7(x99871,f918(x99871,a905),a905),f331(x99871)),x99872)),f329(f329(f7(x99871,f918(x99871,a905),a905),f331(x99871)),x99873))),x99874)) % 166.52/166.35 [10080]~P30(x100801,f918(f918(x100801,a905),a905),f329(f329(f7(x100801,f918(f917(x100801,x100801),a905),f918(f918(x100801,a905),a905)),f329(f329(f8(f918(x100801,a905),f918(f918(f917(x100801,x100801),a905),f918(f918(x100801,a905),a905)),x100801),f61(x100801)),f329(f329(f7(x100801,f918(x100801,a905),f918(x100801,a905)),f311(x100801)),f191(f918(x100801,a905))))),x100803),x100802)+~P1(f329(f329(f331(x100801),x100804),x100802))+E(f329(f329(f23(f918(f918(x100801,a905),a905)),f329(f329(f61(x100801),x100802),x100803)),f329(f329(f61(x100801),f329(f329(f311(x100801),x100804),f191(f918(x100801,a905)))),x100803)),f329(f329(f61(x100801),f329(f329(f23(f918(x100801,a905)),x100802),f329(f329(f311(x100801),x100804),f191(f918(x100801,a905))))),x100803)) % 166.52/166.35 [10213]~P60(x102131,x102132,x102134)+~P1(f329(f329(f331(f917(x102131,x102131)),x102133),x102134))+P1(f329(f329(f262(x102131,x102131,a905),f329(f329(f7(x102131,f918(x102131,a905),f918(x102131,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x102131,a905),f918(x102131,a905)),x102131),f8(a905,a905,x102131)),f329(f329(f8(a905,f918(a905,a905),x102131),a327),f329(f329(f7(x102131,f918(x102131,a905),a905),f331(x102131)),x102132)))),f329(f329(f7(x102131,f918(x102131,a905),a905),f331(x102131)),x102132))),x102133)) % 166.52/166.35 [10228]P1(f329(f62(x102281),x102282))+~P1(f329(f62(x102283),f329(f312(x102281,x102283,x102284),x102282)))+~P1(f329(f62(x102281),f329(f267(x102281),f329(f329(f18(x102281,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102281),a327),f329(f329(f7(x102281,f918(x102281,a905),a905),f331(x102281)),x102282))),f329(f329(f7(x102281,x102283,a905),f329(f329(f8(x102283,f918(x102283,a905),x102281),a326),x102284)),f329(x102284,f420(x102284,x102283,x102282,x102281))))))) % 166.52/166.35 [8224]~P72(x82242)+E(x82241,f2(x82242))+E(f329(f329(f292(x82242),f329(f329(f82(x82242),f329(f329(f83(x82242),x82241),x82243)),x82244)),x82241),f329(f329(f82(x82242),x82243),f329(f329(f292(x82242),x82244),x82241))) % 166.52/166.35 [8225]~P72(x82252)+E(x82251,f2(x82252))+E(f329(f329(f292(x82252),f329(f329(f23(x82252),f329(f329(f83(x82252),x82251),x82253)),x82254)),x82251),f329(f329(f23(x82252),x82253),f329(f329(f292(x82252),x82254),x82251))) % 166.52/166.35 [9128]~E(f329(f329(f291(x91281,x91281,x91281),x91283),x91284),f191(f918(f917(x91281,x91281),a905)))+~E(f329(f329(f291(x91281,x91281,x91281),x91282),x91284),f191(f918(f917(x91281,x91281),a905)))+E(f329(f329(f291(x91281,x91281,x91281),f329(f329(f115(f918(f917(x91281,x91281),a905)),x91282),x91283)),x91284),f191(f918(f917(x91281,x91281),a905))) % 166.52/166.35 [9904]~P1(f329(f163(x99041,x99043),x99044))+~P1(f329(f163(x99041,x99042),x99044))+P1(f329(f163(x99041,f329(f329(f18(x99041,a905,a905),f329(f329(f8(a905,f918(a905,a905),x99041),a327),x99042)),x99043)),x99044)) % 166.52/166.35 [10148]P1(f329(x101481,f414(x101482,x101483,x101481,x101484)))+~P1(f329(f62(x101484),f329(f267(x101484),x101481)))+P1(f329(f62(x101483),f329(f267(x101483),f329(f329(f8(f918(x101484,a905),a905,x101483),f89(x101484)),f329(f329(f8(f918(x101484,a905),f918(x101484,a905),x101483),f329(f18(x101484,a905,a905),f329(f329(f8(a905,f918(a905,a905),x101484),a327),x101481))),x101482))))) % 166.52/166.35 [10166]~P1(f329(f62(x101662),f329(f267(x101662),x101663)))+~P1(f329(f62(x101661),f329(f267(x101661),f329(f329(f7(x101661,x101662,a905),x101664),f414(x101664,x101661,x101663,x101662)))))+P1(f329(f62(x101661),f329(f267(x101661),f329(f329(f8(f918(x101662,a905),a905,x101661),f89(x101662)),f329(f329(f8(f918(x101662,a905),f918(x101662,a905),x101661),f329(f18(x101662,a905,a905),f329(f329(f8(a905,f918(a905,a905),x101662),a327),x101663))),x101664))))) % 166.52/166.35 [10239]~P1(f329(f62(x102391),x102394))+P1(f329(f329(f331(x102391),f819(x102392,x102393,x102394,x102391)),x102394))+P1(f329(f62(x102393),f329(f267(x102393),f329(f329(f8(f918(x102391,a905),a905,x102393),f89(x102391)),f329(f329(f8(f918(x102391,a905),f918(x102391,a905),x102393),f329(f18(x102391,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102391),a327),f329(f329(f7(x102391,f918(x102391,a905),a905),f331(x102391)),x102394)))),x102392))))) % 166.52/166.35 [10245]~P1(f329(f62(x102452),x102453))+~P1(f329(f62(x102451),f329(f267(x102451),f329(f329(f7(x102451,x102452,a905),x102454),f819(x102454,x102451,x102453,x102452)))))+P1(f329(f62(x102451),f329(f267(x102451),f329(f329(f8(f918(x102452,a905),a905,x102451),f89(x102452)),f329(f329(f8(f918(x102452,a905),f918(x102452,a905),x102451),f329(f18(x102452,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102452),a327),f329(f329(f7(x102452,f918(x102452,a905),a905),f331(x102452)),x102453)))),x102454))))) % 166.52/166.35 [5137]~E(x51372,x51374)+E(f172(x51371,x51372,x51373),f172(x51371,x51374,x51375))+~E(x51372,f2(a910)) % 166.52/166.35 [5395]E(x53951,x53952)+~E(f172(x53954,x53953,x53951),f172(x53954,x53955,x53952))+E(x53953,f2(a910)) % 166.52/166.35 [5945]~E(x59455,x59452)+P48(f31(x59451,x59453),x59452,x59454,x59455)+P1(f329(x59451,x59452)) % 166.52/166.35 [6509]E(x65091,x65092)+~P48(f31(x65093,x65094),x65091,x65095,x65092)+P1(f329(x65093,x65091)) % 166.52/166.35 [8017]~P48(x80172,x80173,x80174,x80175)+~P48(f31(x80171,x80172),x80175,x80174,x80173)+P48(f31(x80171,x80172),x80173,x80174,x80173) % 166.52/166.35 [9258]E(x92581,x92582)+~P48(f31(x92585,x92583),x92581,x92584,x92582)+P48(x92583,x92581,x92584,f602(x92582,x92584,x92581,x92583,x92585)) % 166.52/166.35 [9260]E(x92601,x92602)+P48(f31(x92603,x92604),f602(x92601,x92605,x92602,x92604,x92603),x92605,x92601)+~P48(f31(x92603,x92604),x92602,x92605,x92601) % 166.52/166.35 [9264]~P48(f31(x92645,x92641),x92642,x92643,x92644)+P48(x92641,x92642,x92643,f602(x92644,x92643,x92642,x92641,x92645))+~P1(f329(x92645,x92642)) % 166.52/166.35 [9271]~P48(f31(x92711,x92712),x92715,x92714,x92713)+P48(f31(x92711,x92712),f602(x92713,x92714,x92715,x92712,x92711),x92714,x92713)+~P1(f329(x92711,x92715)) % 166.52/166.35 [6653]E(x66531,x66532)+~E(f329(x66533,x66531),f329(x66533,x66532))+~P30(x66534,x66535,x66533,f247(f918(x66534,a905))) % 166.52/166.35 [7555]E(x75551,x75552)+~P30(x75553,x75554,x75555,f247(f918(x75553,a905)))+~E(f329(f312(x75553,x75554,x75555),x75551),f329(f312(x75553,x75554,x75555),x75552)) % 166.52/166.35 [7805]P30(x78052,x78053,f712(x78054,x78053,x78052,x78051),x78051)+~E(f329(f312(x78053,x78052,x78055),x78054),x78051)+E(x78051,f191(f918(x78052,a905))) % 166.52/166.35 [8353]~P1(f329(f329(x83533,x83532),x83535))+~P1(f329(f329(x83533,x83534),x83532))+P1(f329(f329(f331(x83531),x83532),f301(x83531,x83533,x83534,x83535))) % 166.52/166.35 [8354]~P1(f329(f329(x83543,x83542),x83545))+~P1(f329(f329(x83543,x83544),x83542))+P1(f329(f329(f331(x83541),x83542),f298(x83541,x83543,x83544,x83545))) % 166.52/166.35 [8923]~P30(x89231,x89233,x89235,f247(f918(x89231,a905)))+~P30(x89233,x89232,x89234,f247(f918(x89233,a905)))+P30(x89231,x89232,f329(f74(x89233,x89232,x89231,x89234),x89235),f247(f918(x89231,a905))) % 166.52/166.35 [9497]P1(f329(f329(f331(f917(x94971,x94971)),f329(f329(f257(x94971,x94971),x94972),x94973)),f309(x94971,x94974)))+~P1(f329(f329(f331(f917(x94971,x94971)),f329(f329(f257(x94971,x94971),x94972),x94975)),f309(x94971,x94974)))+~P1(f329(f329(f331(f917(x94971,x94971)),f329(f329(f257(x94971,x94971),x94975),x94973)),f309(x94971,x94974))) % 166.52/166.35 [9534]~P112(x95342)+~P1(f329(f140(x95341),x95345))+P1(f329(f140(x95341),f152(x95341,x95342,x95343,x95344,x95345))) % 166.52/166.35 [5469]~E(x54692,f118(x54691))+E(f329(f329(f137(x54691),x54692),x54693),f329(f329(f154(x54691),x54694),x54695))+~E(x54693,f329(f329(f154(x54691),x54694),x54695)) % 166.52/166.35 [5470]~E(x54702,f118(x54701))+E(f329(f329(f137(x54701),x54702),x54703),f329(f329(f154(x54701),x54704),x54705))+~E(f329(f329(f154(x54701),x54704),x54705),x54703) % 166.52/166.35 [6610]~E(f329(f192(f911(x66101)),x66105),f329(f192(f911(x66102)),x66104))+E(f329(f329(f157(f917(x66101,x66102),x66102),f261(x66101,x66102)),x66103),x66104)+~E(f329(f329(f184(x66101,x66102),x66105),x66104),x66103) % 166.52/166.35 [6611]~E(f329(f192(f911(x66111)),x66114),f329(f192(f911(x66112)),x66115))+E(f329(f329(f157(f917(x66111,x66112),x66111),f256(x66111,x66112)),x66113),x66114)+~E(f329(f329(f184(x66111,x66112),x66114),x66115),x66113) % 166.52/166.35 [7083]~P112(x70831)+~P18(x70831,f329(f329(f157(x70832,x70831),x70833),x70835))+P18(x70831,f329(f329(f157(x70832,x70831),x70833),f329(f139(x70832,x70834),x70835))) % 166.52/166.35 [7126]~P1(f329(x71263,x71265))+~P1(f329(f329(x71262,x71264),x71265))+P1(f329(f329(f95(x71261,x71262,x71263),x71264),x71265)) % 166.52/166.35 [7223]~P112(x72231)+P18(x72231,f329(f329(f157(x72232,x72231),x72233),f173(x72232,x72234,x72235)))+~P18(x72231,f329(f329(f157(x72232,x72231),x72233),x72235)) % 166.52/166.35 [7246]~P62(x72463,x72462,x72465)+~P62(x72461,x72463,x72464)+P62(x72461,x72462,f329(f329(f291(x72461,x72463,x72462),x72464),x72465)) % 166.52/166.35 [7341]E(x73411,x73412)+~P30(x73413,x73414,x73415,f247(f918(x73413,a905)))+~E(f329(f329(f157(x73413,x73414),x73415),x73411),f329(f329(f157(x73413,x73414),x73415),x73412)) % 166.52/166.35 [7422]P48(x74221,x74222,x74223,x74224)+~P48(x74221,x74222,x74225,x74224)+~P1(f329(f329(f239(a910),x74225),x74223)) % 166.52/166.35 [7503]~P1(f329(f329(f239(a910),x75031),f329(x75033,x75035)))+P1(f329(f329(f239(a910),x75031),f158(x75032,x75033,x75034)))+~P1(f329(f329(f331(x75032),x75035),f329(f175(x75032),x75034))) % 166.52/166.35 [7504]~P1(f329(f329(f240(a910),x75041),f329(x75043,x75045)))+P1(f329(f329(f240(a910),x75041),f158(x75042,x75043,x75044)))+~P1(f329(f329(f331(x75042),x75045),f329(f175(x75042),x75044))) % 166.52/166.35 [7904]P1(f329(x79041,x79042))+~P1(f329(x79041,x79043))+~P1(f329(f329(f331(x79044),x79042),f329(f175(x79044),f172(x79044,x79045,x79043)))) % 166.52/166.35 [7905]P1(f329(x79051,x79052))+~P1(f329(x79051,x79053))+~P1(f329(f329(f331(x79054),x79053),f329(f175(x79054),f172(x79054,x79055,x79052)))) % 166.52/166.35 [7909]~P114(x79091)+P1(f329(f329(f239(f918(x79091,a905)),f305(x79091,x79092,x79093)),f305(x79091,x79094,x79095)))+P1(f329(f329(f239(x79091),x79092),x79093)) % 166.52/166.35 [7936]~P10(x79361)+P1(f329(f329(f239(x79361),f329(f329(f41(x79362,x79361),x79363),x79364)),f329(x79364,x79365)))+~P1(f329(f329(f331(x79362),x79365),x79363)) % 166.52/166.35 [8004]~P30(x80041,x80042,x80044,x80043)+E(f329(f79(x80041,x80042,x80043,x80044),f329(x80044,x80045)),x80045)+~P1(f329(f329(f331(x80041),x80045),x80043)) % 166.52/166.35 [8005]~P30(x80051,x80052,x80054,x80053)+E(f329(f94(x80051,x80052,x80053,x80054),f329(x80054,x80055)),x80055)+~P1(f329(f329(f331(x80051),x80055),x80053)) % 166.52/166.35 [8213]~P1(f329(x82131,x82135))+P1(f329(x82131,f356(x82131,x82132,x82133,x82134)))+~P1(f329(f329(f331(x82134),x82135),x82133)) % 166.52/166.35 [8214]~P1(f329(x82141,x82145))+P1(f329(x82141,f356(x82141,x82142,x82143,x82144)))+~P1(f329(f329(f331(x82144),x82145),x82142)) % 166.52/166.35 [8306]P1(f329(f62(x83061),x83062))+~P1(f329(f62(x83063),x83064))+~P1(f329(f329(f239(f918(x83061,a905)),x83062),f329(f312(x83063,x83061,x83065),x83064))) % 166.52/166.35 [8474]E(x84741,x84742)+~P30(x84743,x84744,x84745,f329(f329(f115(f918(x84743,a905)),f329(f175(x84743),x84741)),f329(f175(x84743),x84742)))+~E(f329(f329(f157(x84743,x84744),x84745),x84741),f329(f329(f157(x84743,x84744),x84745),x84742)) % 166.52/166.35 [8527]~P114(x85271)+~P1(f329(f329(f240(f918(x85271,a905)),f305(x85271,x85274,x85275)),f305(x85271,x85272,x85273)))+P1(f329(f329(f239(x85271),x85272),x85273)) % 166.52/166.35 [8597]~P30(x85971,x85974,x85975,f247(f918(x85971,a905)))+~P1(f329(f329(f331(x85974),f329(x85975,x85972)),f329(f312(x85971,x85974,x85975),x85973)))+P1(f329(f329(f331(x85971),x85972),x85973)) % 166.52/166.35 [8679]P1(f329(x86791,x86792))+~P1(f329(x86791,f870(x86791,x86793,x86794,x86795)))+~P1(f329(f329(f331(x86795),x86792),x86794)) % 166.52/166.35 [8680]P1(f329(x86801,x86802))+~P1(f329(x86801,f870(x86801,x86803,x86804,x86805)))+~P1(f329(f329(f331(x86805),x86802),x86803)) % 166.52/166.35 [8961]~P30(x89612,x89613,x89611,x89614)+E(f329(x89611,f329(f79(x89612,x89613,x89614,x89611),x89615)),x89615)+~P1(f329(f329(f331(x89613),x89615),f329(f312(x89612,x89613,x89611),x89614))) % 166.52/166.35 [9069]E(x90691,f118(x90692))+E(f329(f329(f154(x90692),x90693),f701(x90694,x90693,x90695,x90691,x90692)),x90691)+~E(f329(f329(f137(x90692),x90691),x90695),f329(f329(f154(x90692),x90693),x90694)) % 166.52/166.35 [9070]E(x90701,f118(x90702))+E(f329(f329(f154(x90702),x90703),f702(x90704,x90701,x90705,x90703,x90702)),x90701)+~E(f329(f329(f137(x90702),x90701),x90704),f329(f329(f154(x90702),x90703),x90705)) % 166.52/166.35 [9087]E(f329(f329(f154(x90872),x90873),f701(x90874,x90873,x90871,x90875,x90872)),x90875)+~E(f329(f329(f137(x90872),x90875),x90871),f329(f329(f154(x90872),x90873),x90874))+E(x90871,f329(f329(f154(x90872),x90873),x90874)) % 166.52/166.35 [9088]E(f329(f329(f154(x90881),x90882),f702(x90884,x90885,x90883,x90882,x90881)),x90885)+~E(f329(f329(f137(x90881),x90885),x90884),f329(f329(f154(x90881),x90882),x90883))+E(f329(f329(f154(x90881),x90882),x90883),x90884) % 166.52/166.35 [9167]~E(f329(f312(x91673,x91672,x91674),f247(f918(x91673,a905))),f247(f918(x91672,a905)))+~E(f329(f312(x91671,x91673,x91675),f247(f918(x91671,a905))),f247(f918(x91673,a905)))+E(f329(f312(x91671,x91672,f329(f74(x91673,x91672,x91671,x91674),x91675)),f247(f918(x91671,a905))),f247(f918(x91672,a905))) % 166.52/166.35 [9541]E(x95411,f118(x95412))+~E(f329(f329(f137(x95412),x95411),x95413),f329(f329(f154(x95412),x95415),x95414))+E(f329(f329(f137(x95412),f702(x95413,x95411,x95414,x95415,x95412)),x95413),x95414) % 166.52/166.35 [9542]E(x95421,f118(x95422))+~E(f329(f329(f137(x95422),x95421),x95425),f329(f329(f154(x95422),x95424),x95423))+E(f329(f329(f137(x95422),f701(x95423,x95424,x95425,x95421,x95422)),x95425),x95423) % 166.52/166.35 [9550]E(f329(f329(f137(x95502),f701(x95504,x95503,x95501,x95505,x95502)),x95501),x95504)+~E(f329(f329(f137(x95502),x95505),x95501),f329(f329(f154(x95502),x95503),x95504))+E(x95501,f329(f329(f154(x95502),x95503),x95504)) % 166.52/166.35 [9551]~E(f329(f329(f137(x95511),x95515),x95514),f329(f329(f154(x95511),x95512),x95513))+E(f329(f329(f137(x95511),f702(x95514,x95515,x95513,x95512,x95511)),x95514),x95513)+E(f329(f329(f154(x95511),x95512),x95513),x95514) % 166.52/166.35 [9552]E(f329(f329(f137(x95521),x95525),f705(x95523,x95522,x95524,x95525,x95521)),x95522)+E(f329(f329(f137(x95521),x95522),f704(x95523,x95522,x95524,x95525,x95521)),x95525)+~E(f329(f329(f137(x95521),x95525),x95524),f329(f329(f137(x95521),x95522),x95523)) % 166.52/166.35 [9589]~P112(x95891)+P18(x95891,f329(f329(f157(x95892,x95891),x95893),f152(x95892,x95891,x95893,x95894,x95895)))+~P18(x95891,f329(f329(f157(x95892,x95891),x95893),x95895)) % 166.52/166.35 [9603]~P66(x96035,x96031,x96034,x96033)+P1(f329(f329(x96031,x96032),f538(x96033,x96034,x96031,x96035,x96032)))+~P1(f329(f329(f331(x96035),x96032),x96034)) % 166.52/166.35 [9604]~P66(x96045,x96041,x96044,x96043)+P1(f329(f329(x96041,x96042),f825(x96043,x96044,x96041,x96045,x96042)))+~P1(f329(f329(f331(x96045),x96042),x96044)) % 166.52/166.35 [9706]~P1(f329(f329(f331(f917(x97061,x97061)),f329(f329(f257(x97061,x97061),x97065),x97063)),f309(x97061,x97064)))+P1(f329(f329(f331(f917(x97061,x97061)),f329(f329(f257(x97061,x97061),x97062),x97063)),f329(f329(f291(x97061,x97061,x97061),x97064),f309(x97061,x97064))))+~P1(f329(f329(f331(f917(x97061,x97061)),f329(f329(f257(x97061,x97061),x97062),x97065)),f329(f329(f291(x97061,x97061,x97061),x97064),f309(x97061,x97064)))) % 166.52/166.35 [9707]~P1(f329(f329(f331(f917(x97071,x97071)),f329(f329(f257(x97071,x97071),x97072),x97075)),f309(x97071,x97074)))+P1(f329(f329(f331(f917(x97071,x97071)),f329(f329(f257(x97071,x97071),x97072),x97073)),f329(f329(f291(x97071,x97071,x97071),x97074),f309(x97071,x97074))))+~P1(f329(f329(f331(f917(x97071,x97071)),f329(f329(f257(x97071,x97071),x97075),x97073)),f329(f329(f291(x97071,x97071,x97071),x97074),f309(x97071,x97074)))) % 166.52/166.35 [9709]P1(f329(f329(f331(f917(f911(x97091),f911(x97091))),f329(f329(f257(f911(x97091),f911(x97091)),x97092),x97093)),f161(x97091,f309(x97091,x97094))))+~P1(f329(f329(f331(f917(f911(x97091),f911(x97091))),f329(f329(f257(f911(x97091),f911(x97091)),x97092),x97095)),f161(x97091,f309(x97091,x97094))))+~P1(f329(f329(f331(f917(f911(x97091),f911(x97091))),f329(f329(f257(f911(x97091),f911(x97091)),x97095),x97093)),f161(x97091,f309(x97091,x97094)))) % 166.52/166.35 [9713]E(f329(f329(f137(x97131),x97132),f704(x97133,x97132,x97134,x97135,x97131)),x97135)+E(f329(f329(f137(x97131),f705(x97133,x97132,x97134,x97135,x97131)),x97133),x97134)+~E(f329(f329(f137(x97131),x97132),x97133),f329(f329(f137(x97131),x97135),x97134)) % 166.52/166.35 [9714]E(f329(f329(f137(x97141),x97142),f705(x97143,x97144,x97145,x97142,x97141)),x97144)+E(f329(f329(f137(x97141),f704(x97143,x97144,x97145,x97142,x97141)),x97145),x97143)+~E(f329(f329(f137(x97141),x97142),x97145),f329(f329(f137(x97141),x97144),x97143)) % 166.52/166.35 [9770]P1(f329(f329(f331(f917(x97701,x97701)),f329(f329(f257(x97701,x97701),x97702),x97703)),f329(f329(f291(x97701,x97701,x97701),x97704),f309(x97701,x97704))))+~P1(f329(f329(f331(f917(x97701,x97701)),f329(f329(f257(x97701,x97701),x97702),x97705)),f329(f329(f291(x97701,x97701,x97701),x97704),f309(x97701,x97704))))+~P1(f329(f329(f331(f917(x97701,x97701)),f329(f329(f257(x97701,x97701),x97705),x97703)),f329(f329(f291(x97701,x97701,x97701),x97704),f309(x97701,x97704)))) % 166.52/166.35 [9797]P40(x97971,x97972,x97973,x97974,x97975)+~E(f329(f192(f911(x97971)),x97974),f329(f192(f911(x97972)),x97975))+~P1(f329(f329(f262(x97971,x97972,a905),x97973),f719(x97975,x97974,x97973,x97972,x97971))) % 166.52/166.35 [9798]P40(x97981,x97982,x97983,x97984,x97985)+~E(f329(f192(f911(x97981)),x97984),f329(f192(f911(x97982)),x97985))+~P1(f329(f329(f262(x97981,x97982,a905),x97983),f720(x97983,x97985,x97984,x97982,x97981))) % 166.52/166.35 [9803]E(f329(f329(f137(x98031),f704(x98032,x98033,x98034,x98035,x98031)),x98034),x98032)+~E(f329(f329(f137(x98031),x98033),x98032),f329(f329(f137(x98031),x98035),x98034))+E(f329(f329(f137(x98031),f705(x98032,x98033,x98034,x98035,x98031)),x98032),x98034) % 166.52/166.35 [9818]~P112(x98182)+E(f329(f329(f151(x98181,x98182,x98183),x98184),x98185),f329(f329(f154(x98181),x98184),x98185))+P1(f329(f329(f331(x98181),f767(x98184,x98183,x98185,x98181,x98182)),f329(f175(x98181),x98185))) % 166.52/166.35 [9822]~P66(x98221,x98224,x98223,x98222)+~P1(f329(f329(f331(x98221),x98225),x98223))+P1(f329(f329(f331(x98221),f538(x98222,x98223,x98224,x98221,x98225)),x98222)) % 166.52/166.35 [9823]~P66(x98231,x98234,x98233,x98232)+~P1(f329(f329(f331(x98231),x98235),x98233))+P1(f329(f329(f331(x98231),f825(x98232,x98233,x98234,x98231,x98235)),x98232)) % 166.52/166.35 [9939]~P1(f329(f329(f331(f917(f918(x99391,a905),f918(x99391,a905))),f329(f329(f257(f918(x99391,a905),f918(x99391,a905)),x99394),x99393)),f320(x99391,x99392)))+~P1(f329(f329(f331(x99391),x99395),x99394))+P1(f329(f329(f331(x99391),f590(x99392,x99393,x99394,x99391,x99395)),x99393)) % 166.52/166.35 [9950]~P112(x99502)+E(f329(f329(f151(x99501,x99502,x99503),x99504),x99505),f329(f329(f154(x99501),x99504),x99505))+~P1(f329(f329(f239(x99502),f329(x99503,x99504)),f329(x99503,f767(x99504,x99503,x99505,x99501,x99502)))) % 166.52/166.35 [9995]~P30(x99953,x99954,x99955,f247(f918(x99953,a905)))+P1(f329(x99951,x99952))+~P1(f329(x99951,f329(f94(x99953,x99954,f247(f918(x99953,a905)),x99955),f838(x99952,x99951,x99955,x99954,x99953)))) % 166.52/166.35 [10131]P40(x101311,x101312,x101313,x101314,x101315)+~E(f329(f192(f911(x101311)),x101314),f329(f192(f911(x101312)),x101315))+~P1(f329(f329(x101313,f329(f329(f167(x101311),x101314),f721(x101315,x101314,x101313,x101312,x101311))),f329(f329(f167(x101312),x101315),f721(x101315,x101314,x101313,x101312,x101311)))) % 166.52/166.35 [10132]P40(x101321,x101322,x101323,x101324,x101325)+~E(f329(f192(f911(x101321)),x101324),f329(f192(f911(x101322)),x101325))+~P1(f329(f329(x101323,f329(f329(f167(x101321),x101324),f759(x101323,x101325,x101322,x101324,x101321))),f329(f329(f167(x101322),x101325),f759(x101323,x101325,x101322,x101324,x101321)))) % 166.52/166.35 [6683]~P22(x66832,x66835,x66831)+~P1(f329(f62(x66832),x66834))+E(f329(x66831,f329(f329(f311(x66832),x66833),x66834)),f329(f329(f65(x66832,x66832,x66835),x66833),x66834)) % 166.52/166.35 [6684]~E(x66843,x66844)+~E(x66842,x66845)+E(f329(f329(f311(x66841),x66842),f329(f329(f311(x66841),x66843),f191(f918(x66841,a905)))),f329(f329(f311(x66841),x66844),f329(f329(f311(x66841),x66845),f191(f918(x66841,a905))))) % 166.52/166.35 [6695]P1(f329(x66952,x66955))+E(f180(x66951,x66952,f329(f329(f137(x66951),x66953),x66954)),f180(x66951,x66952,x66953))+~P1(f329(f329(f331(x66951),x66955),f329(f175(x66951),x66953))) % 166.52/166.35 [6732]E(f329(x67321,x67322),f191(f918(x67323,a905)))+~E(f329(f329(f40(x67324,f918(x67323,a905)),x67325),x67321),f191(f918(x67323,a905)))+~P1(f329(f329(f331(x67324),x67322),x67325)) % 166.52/166.35 [6733]E(f329(x67331,x67332),f247(f918(x67333,a905)))+~E(f329(f329(f41(x67334,f918(x67333,a905)),x67335),x67331),f247(f918(x67333,a905)))+~P1(f329(f329(f331(x67334),x67332),x67335)) % 166.52/166.35 [7032]~P1(f329(f329(f197(x70321),x70323),x70325))+~P1(f329(f329(f197(x70322),x70325),x70324))+P1(f329(f329(f197(f32(x70321,x70322)),x70323),x70324)) % 166.52/166.35 [7233]~E(x72332,x72334)+~P146(x72331)+E(f329(f329(f82(x72331),f329(f329(f83(x72331),x72332),x72333)),f329(f329(f83(x72331),x72334),x72335)),f329(f329(f82(x72331),f329(f329(f83(x72331),x72332),x72335)),f329(f329(f83(x72331),x72334),x72333))) % 166.52/166.35 [7293]~P10(x72931)+~P1(f329(f329(f331(x72934),x72933),x72935))+P1(f329(f329(f239(x72931),f329(x72932,x72933)),f329(f329(f40(x72934,x72931),x72935),x72932))) % 166.52/166.35 [7346]~P113(x73461)+P1(f329(f329(f239(x73461),f329(x73462,x73463)),f329(x73464,x73463)))+~P1(f329(f329(f239(f918(x73465,x73461)),x73462),x73464)) % 166.52/166.35 [7474]E(x74741,x74742)+E(x74743,x74741)+~E(f329(f329(f311(x74744),x74741),f329(f329(f311(x74744),x74745),f191(f918(x74744,a905)))),f329(f329(f311(x74744),x74742),f329(f329(f311(x74744),x74743),f191(f918(x74744,a905))))) % 166.52/166.35 [7475]E(x74751,x74752)+E(x74753,x74751)+~E(f329(f329(f311(x74754),x74753),f329(f329(f311(x74754),x74752),f191(f918(x74754,a905)))),f329(f329(f311(x74754),x74755),f329(f329(f311(x74754),x74751),f191(f918(x74754,a905))))) % 166.52/166.35 [7476]E(x74761,x74762)+E(x74761,x74763)+~E(f329(f329(f311(x74764),x74763),f329(f329(f311(x74764),x74762),f191(f918(x74764,a905)))),f329(f329(f311(x74764),x74765),f329(f329(f311(x74764),x74761),f191(f918(x74764,a905))))) % 166.52/166.35 [7477]E(x74771,x74772)+E(x74771,x74773)+~E(f329(f329(f311(x74774),x74771),f329(f329(f311(x74774),x74775),f191(f918(x74774,a905)))),f329(f329(f311(x74774),x74772),f329(f329(f311(x74774),x74773),f191(f918(x74774,a905))))) % 166.52/166.35 [8014]P30(x80141,x80142,x80143,x80144)+~P30(x80141,x80142,x80143,x80145)+~P1(f329(f329(f239(f918(x80141,a905)),x80144),x80145)) % 166.52/166.35 [8044]~E(f329(x80443,x80445),x80444)+~P30(x80441,x80442,x80443,f247(f918(x80441,a905)))+E(f329(f94(x80441,x80442,f247(f918(x80441,a905)),x80443),x80444),x80445) % 166.52/166.35 [8120]P1(f329(x81201,x81202))+~P1(f329(f329(f197(x81204),x81202),x81205))+P1(f329(f329(f197(f29(x81201,x81203,x81204)),x81202),x81205)) % 166.52/166.35 [8148]~P1(f329(x81481,x81484))+~P1(f329(f329(f197(x81482),x81484),x81485))+P1(f329(f329(f197(f29(x81481,x81482,x81483)),x81484),x81485)) % 166.52/166.35 [8201]E(x82011,x82012)+~E(f329(f312(x82013,x82014,x82015),x82011),f329(f312(x82013,x82014,x82015),x82012))+~P30(x82013,x82014,x82015,f329(f329(f115(f918(x82013,a905)),x82011),x82012)) % 166.52/166.35 [8274]P1(f329(x82742,x82744))+E(f329(f329(f141(x82741),f329(f192(f911(x82741)),f180(x82741,x82742,x82743))),x82743),f329(f329(f154(x82741),x82744),x82745))+~E(f329(f329(f137(x82741),f180(x82741,x82742,x82743)),f329(f329(f154(x82741),x82744),x82745)),x82743) % 166.52/166.35 [8304]~P30(x83041,x83042,x83043,x83045)+~P30(x83041,x83042,x83043,x83044)+P30(x83041,x83042,x83043,f329(f329(f106(f918(x83041,a905)),x83044),x83045)) % 166.52/166.35 [8413]~P5(x84131)+E(f329(f329(f82(x84131),f329(x84132,x84133)),f329(f168(x84131),f329(f329(f157(x84134,x84131),x84132),f173(x84134,x84133,x84135)))),f329(f168(x84131),f329(f329(f157(x84134,x84131),x84132),x84135)))+~P1(f329(f329(f331(x84134),x84133),f329(f175(x84134),x84135))) % 166.52/166.35 [8501]~P112(x85011)+~P18(x85011,f329(f329(f157(x85012,x85011),x85013),x85015))+P18(x85011,f329(f329(f157(x85012,x85011),x85013),f329(f329(f151(x85012,x85011,x85013),x85014),x85015))) % 166.52/166.35 [8582]P1(f329(x85821,x85822))+P1(f329(f329(f197(x85823),x85822),x85824))+~P1(f329(f329(f197(f29(x85821,x85825,x85823)),x85822),x85824)) % 166.52/166.35 [8593]~P10(x85931)+P1(f329(f329(f239(x85931),f329(f329(f40(x85932,x85931),x85933),x85934)),f329(f329(f40(x85932,x85931),x85935),x85934)))+~P1(f329(f329(f239(f918(x85932,a905)),x85933),x85935)) % 166.52/166.35 [8594]~P10(x85941)+P1(f329(f329(f239(x85941),f329(f329(f41(x85942,x85941),x85943),x85944)),f329(f329(f41(x85942,x85941),x85945),x85944)))+~P1(f329(f329(f239(f918(x85942,a905)),x85945),x85943)) % 166.52/166.35 [8603]~P1(f329(x86034,x86032))+P1(f329(f329(f197(x86031),x86032),x86033))+~P1(f329(f329(f197(f29(x86034,x86031,x86035)),x86032),x86033)) % 166.52/166.35 [8632]~P112(x86323)+P1(f329(f140(x86321),x86322))+~P1(f329(f140(x86321),f329(f329(f151(x86321,x86323,x86324),x86325),x86322))) % 166.52/166.35 [8642]P1(f329(f329(f197(x86421),x86422),x86423))+P1(f329(f329(f197(x86424),x86422),x86423))+~P1(f329(f329(f197(f29(x86425,x86421,x86424)),x86422),x86423)) % 166.52/166.35 [8774]~P112(x87741)+~P1(f329(f329(f331(x87742),x87743),f329(f175(x87742),x87744)))+~P1(f329(f140(x87742),f329(f329(f151(x87742,x87741,x87745),x87743),x87744))) % 166.52/166.35 [8855]~P112(x88551)+P18(x88551,f329(f329(f157(x88552,x88551),x88553),x88554))+~P18(x88551,f329(f329(f157(x88552,x88551),x88553),f329(f329(f151(x88552,x88551,x88553),x88555),x88554))) % 166.52/166.35 [8898]~P30(x88982,x88981,x88984,x88983)+E(f329(f312(x88981,x88982,f94(x88982,x88981,x88983,x88984)),f329(f312(x88982,x88981,x88984),x88985)),x88985)+~P1(f329(f329(f239(f918(x88982,a905)),x88985),x88983)) % 166.52/166.35 [8949]~P112(x89492)+E(f329(f329(f151(x89491,x89492,x89493),x89494),x89495),f152(x89491,x89492,x89493,x89494,x89495))+P1(f329(f329(f331(x89492),f329(x89493,x89494)),f329(f312(x89491,x89492,x89493),f329(f175(x89491),x89495)))) % 166.52/166.35 [9030]~P112(x90302)+E(f152(x90301,x90302,x90303,x90304,x90305),x90305)+~P1(f329(f329(f331(x90302),f329(x90303,x90304)),f329(f312(x90301,x90302,x90303),f329(f175(x90301),x90305)))) % 166.52/166.35 [9048]~P30(x90482,x90481,x90483,x90485)+P1(f329(f329(f240(f918(x90481,a905)),f329(f312(x90482,x90481,x90483),x90484)),f329(f312(x90482,x90481,x90483),x90485)))+~P1(f329(f329(f240(f918(x90482,a905)),x90484),x90485)) % 166.52/166.35 [9207]~P30(x92071,x92072,x92073,f247(f918(x92071,a905)))+~P1(f329(f329(f239(f918(x92072,a905)),x92074),f329(f312(x92071,x92072,x92073),x92075)))+P1(f329(f329(f239(f918(x92071,a905)),f329(f313(x92071,x92072,x92073),x92074)),x92075)) % 166.52/166.35 [9231]~E(f329(f312(x92313,x92311,x92314),f247(f918(x92313,a905))),f247(f918(x92311,a905)))+P1(f329(f329(f239(f918(x92311,a905)),x92312),f329(f312(x92313,x92311,x92314),x92315)))+~P1(f329(f329(f239(f918(x92313,a905)),f329(f313(x92313,x92311,x92314),x92312)),x92315)) % 166.52/166.35 [9346]~P30(x93461,x93464,x93465,f247(f918(x93461,a905)))+~P1(f329(f329(f239(f918(x93464,a905)),f329(f312(x93461,x93464,x93465),x93462)),f329(f312(x93461,x93464,x93465),x93463)))+P1(f329(f329(f239(f918(x93461,a905)),x93462),x93463)) % 166.52/166.35 [9466]~P4(x94661)+~E(f329(x94663,f742(x94663,x94664,x94665,x94662,x94661)),f2(x94661))+E(f329(f168(x94661),f329(f329(f157(x94662,x94661),x94663),f329(f139(x94662,x94664),x94665))),f329(f168(x94661),f329(f329(f157(x94662,x94661),x94663),x94665))) % 166.52/166.35 [9648]~P21(x96481,x96482,x96483)+~P1(f329(f62(x96481),x96485))+P1(f329(f67(x96481,x96482,x96483,x96484,x96485),f329(f329(f65(x96481,x96482,x96483),x96484),x96485))) % 166.52/166.35 [9726]~P31(x97262,x97261,x97264,f247(f918(x97262,a905)),f247(f918(x97261,a905)))+~P31(x97261,x97263,x97265,f247(f918(x97261,a905)),f247(f918(x97263,a905)))+E(f329(f74(x97261,x97262,x97263,f94(x97262,x97261,f247(f918(x97262,a905)),x97264)),f94(x97261,x97263,f247(f918(x97261,a905)),x97265)),f94(x97262,x97263,f247(f918(x97262,a905)),f329(f74(x97261,x97263,x97262,x97265),x97264))) % 166.52/166.35 [9727]P1(f329(x97271,f662(x97272,x97271,x97273,x97274,x97275)))+~P1(f329(f329(f239(f918(x97275,a905)),x97274),x97273))+P1(f329(f329(f239(f918(x97275,a905)),f329(f329(f106(f918(x97275,a905)),x97274),f329(f267(x97275),x97271))),f329(f329(f106(f918(x97275,a905)),x97273),f329(f267(x97275),x97272)))) % 166.52/166.35 [9743]~P4(x97431)+~P1(f329(x97434,f742(x97433,x97434,x97435,x97432,x97431)))+E(f329(f168(x97431),f329(f329(f157(x97432,x97431),x97433),f329(f139(x97432,x97434),x97435))),f329(f168(x97431),f329(f329(f157(x97432,x97431),x97433),x97435))) % 166.52/166.35 [9820]~P10(x98205)+P1(f329(f329(f331(x98201),f629(x98202,x98203,x98201,x98204,x98205)),x98203))+P1(f329(f329(f239(x98205),x98204),f329(f329(f41(x98201,x98205),x98203),x98202))) % 166.52/166.35 [9824]~P4(x98241)+E(f329(f168(x98241),f329(f329(f157(x98242,x98241),x98243),f329(f139(x98242,x98244),x98245))),f329(f168(x98241),f329(f329(f157(x98242,x98241),x98243),x98245)))+P1(f329(f329(f331(x98242),f742(x98243,x98244,x98245,x98242,x98241)),f329(f175(x98242),x98245))) % 166.52/166.35 [9834]~P1(f329(x98345,f662(x98345,x98343,x98344,x98342,x98341)))+~P1(f329(f329(f239(f918(x98341,a905)),x98342),x98344))+P1(f329(f329(f239(f918(x98341,a905)),f329(f329(f106(f918(x98341,a905)),x98342),f329(f267(x98341),x98343))),f329(f329(f106(f918(x98341,a905)),x98344),f329(f267(x98341),x98345)))) % 166.52/166.35 [9850]~P30(x98505,x98503,x98504,f247(f918(x98505,a905)))+P1(f329(x98501,x98502))+P1(f329(f329(f331(x98503),f838(x98502,x98501,x98504,x98503,x98505)),f329(f312(x98505,x98503,x98504),f247(f918(x98505,a905))))) % 166.52/166.35 [9872]P40(x98721,x98722,x98723,x98724,x98725)+~E(f329(f192(f911(x98722)),x98725),f329(f192(f911(x98721)),x98724))+P1(f329(f329(f240(a910),f721(x98725,x98724,x98723,x98722,x98721)),f329(f192(f911(x98721)),x98724))) % 166.52/166.35 [9873]P40(x98731,x98732,x98733,x98734,x98735)+~E(f329(f192(f911(x98732)),x98735),f329(f192(f911(x98731)),x98734))+P1(f329(f329(f240(a910),f759(x98733,x98735,x98732,x98734,x98731)),f329(f192(f911(x98731)),x98734))) % 166.52/166.35 [9906]P1(f329(f329(f331(x99061),f662(x99062,x99063,x99064,x99065,x99061)),x99065))+~P1(f329(f329(f239(f918(x99061,a905)),x99065),x99064))+P1(f329(f329(f239(f918(x99061,a905)),f329(f329(f106(f918(x99061,a905)),x99065),f329(f267(x99061),x99063))),f329(f329(f106(f918(x99061,a905)),x99064),f329(f267(x99061),x99062)))) % 166.52/166.35 [9951]~P10(x99511)+~P1(f329(f329(f239(x99511),x99512),f329(x99515,f629(x99515,x99514,x99513,x99512,x99511))))+P1(f329(f329(f239(x99511),x99512),f329(f329(f41(x99513,x99511),x99514),x99515))) % 166.52/166.35 [9985]~P80(x99851)+~P1(f329(f62(x99852),x99855))+E(f329(f329(f329(f66(x99851,x99852,f83(x99851)),f329(f329(f18(x99852,x99851,x99851),f329(f329(f8(x99851,f918(x99851,x99851),x99852),f83(x99851)),x99853)),x99854)),f80(x99851)),x99855),f329(f329(f83(x99851),f329(f329(f329(f66(x99851,x99852,f83(x99851)),x99853),f80(x99851)),x99855)),f329(f329(f329(f66(x99851,x99852,f83(x99851)),x99854),f80(x99851)),x99855))) % 166.52/166.35 [10039]~P1(f329(f329(f331(f917(f918(x100391,a905),f918(x100391,a905))),f329(f329(f257(f918(x100391,a905),f918(x100391,a905)),x100395),x100394)),f320(x100391,x100393)))+~P1(f329(f329(f331(x100391),x100392),x100395))+P1(f329(f329(f331(f917(x100391,x100391)),f329(f329(f257(x100391,x100391),x100392),f590(x100393,x100394,x100395,x100391,x100392))),x100393)) % 166.52/166.35 [10163]~P1(f329(f329(f331(f917(f911(x101631),f911(x101631))),f329(f329(f257(f911(x101631),f911(x101631)),f329(f329(f137(x101631),x101635),x101632)),f329(f329(f137(x101631),x101635),x101633))),f150(x101631,x101634)))+P1(f329(f329(f331(f917(f911(x101631),f911(x101631))),f329(f329(f257(f911(x101631),f911(x101631)),x101632),x101633)),f150(x101631,x101634)))+P1(f329(f329(f331(f917(x101631,x101631)),f329(f329(f257(x101631,x101631),f710(x101634,x101633,x101632,x101635,x101631)),f710(x101634,x101633,x101632,x101635,x101631))),x101634)) % 166.52/166.35 [7349]~E(x73493,x73495)+E(f329(f329(f167(x73491),f329(f329(f162(x73491,x73492),x73493),x73494)),x73495),x73494)+~P1(f329(f329(f240(a910),x73493),f329(f192(f911(x73491)),x73492))) % 166.52/166.35 [7471]~E(f329(f329(f137(x74711),x74712),x74714),f329(f329(f137(x74711),x74713),x74715))+E(f329(f329(f178(x74711),f329(f192(f911(x74711)),x74712)),x74713),x74712)+P1(f329(f329(f239(a910),f329(f192(f911(x74711)),x74713)),f329(f192(f911(x74711)),x74712))) % 166.52/166.35 [7975]~E(f329(f329(f137(x79751),x79752),x79754),f329(f329(f137(x79751),x79753),x79755))+E(f329(f329(f178(x79751),f329(f192(f911(x79751)),x79752)),x79753),x79752)+~P1(f329(f329(f239(a910),f329(f192(f911(x79751)),x79752)),f329(f192(f911(x79751)),x79753))) % 166.52/166.35 [7999]~P1(f329(f62(x79991),f329(x79994,x79995)))+~P1(f329(f329(f331(x79992),x79995),x79993))+P1(f329(f62(x79991),f329(f329(f41(x79992,f918(x79991,a905)),x79993),x79994))) % 166.52/166.35 [8185]~P60(x81851,x81853,x81855)+~P60(x81851,x81852,x81854)+P60(x81851,f329(f329(f115(f918(x81851,a905)),x81852),x81853),f329(f329(f115(f918(f917(x81851,x81851),a905)),x81854),x81855)) % 166.52/166.35 [8186]~P60(x81861,x81863,x81865)+~P60(x81861,x81862,x81864)+P60(x81861,f329(f329(f106(f918(x81861,a905)),x81862),x81863),f329(f329(f106(f918(f917(x81861,x81861),a905)),x81864),x81865)) % 166.52/166.35 [8542]E(f329(f329(f257(x85421,x85422),f329(f329(f167(x85421),x85423),x85424)),f329(f329(f167(x85422),x85425),x85424)),f329(f329(f167(f917(x85421,x85422)),f329(f329(f184(x85421,x85422),x85423),x85425)),x85424))+~P1(f329(f329(f240(a910),x85424),f329(f192(f911(x85421)),x85423)))+~P1(f329(f329(f240(a910),x85424),f329(f192(f911(x85422)),x85425))) % 166.52/166.35 [8707]~P60(x87071,x87073,x87074)+P1(f329(f329(f331(x87071),x87072),x87073))+~P1(f329(f329(f331(f917(x87071,x87071)),f329(f329(f257(x87071,x87071),x87075),x87072)),x87074)) % 166.52/166.35 [8708]~P60(x87081,x87083,x87084)+P1(f329(f329(f331(x87081),x87082),x87083))+~P1(f329(f329(f331(f917(x87081,x87081)),f329(f329(f257(x87081,x87081),x87082),x87085)),x87084)) % 166.52/166.35 [8709]~P13(x87091,x87093,x87094)+P1(f329(f329(f331(x87091),x87092),x87093))+~P1(f329(f329(f331(f917(x87091,x87091)),f329(f329(f257(x87091,x87091),x87095),x87092)),x87094)) % 166.52/166.35 [8710]~P13(x87101,x87103,x87104)+P1(f329(f329(f331(x87101),x87102),x87103))+~P1(f329(f329(f331(f917(x87101,x87101)),f329(f329(f257(x87101,x87101),x87102),x87105)),x87104)) % 166.52/166.35 [8971]~P13(x89711,x89715,x89712)+E(f329(f288(x89711,x89711,x89712),f329(f329(f311(x89711),x89713),f191(f918(x89711,a905)))),f329(f288(x89711,x89711,x89712),f329(f329(f311(x89711),x89714),f191(f918(x89711,a905)))))+~P1(f329(f329(f331(f917(x89711,x89711)),f329(f329(f257(x89711,x89711),x89713),x89714)),x89712)) % 166.52/166.35 [9164]P1(f329(x91641,x91642))+~P1(f329(f329(f331(x91643),x91642),x91645))+P1(f329(f329(f331(x91643),f870(x91641,x91644,x91645,x91643)),f329(f329(f115(f918(x91643,a905)),x91645),x91644))) % 166.52/166.35 [9165]P1(f329(x91651,x91652))+~P1(f329(f329(f331(x91653),x91652),x91654))+P1(f329(f329(f331(x91653),f870(x91651,x91654,x91655,x91653)),f329(f329(f115(f918(x91653,a905)),x91655),x91654))) % 166.52/166.35 [9173]~P1(f329(x91732,x91735))+~P1(f329(f329(f331(x91731),x91735),x91734))+P1(f329(f329(f331(x91731),f356(x91732,x91733,x91734,x91731)),f329(f329(f115(f918(x91731,a905)),x91734),x91733))) % 166.52/166.35 [9174]~P1(f329(x91742,x91745))+~P1(f329(f329(f331(x91741),x91745),x91743))+P1(f329(f329(f331(x91741),f356(x91742,x91743,x91744,x91741)),f329(f329(f115(f918(x91741,a905)),x91744),x91743))) % 166.52/166.35 [9189]~P1(f329(f329(f239(f918(x91891,a905)),x91893),x91895))+~P1(f329(f329(f239(f918(x91891,a905)),x91892),x91894))+P1(f329(f329(f239(f918(x91891,a905)),f329(f329(f115(f918(x91891,a905)),x91892),x91893)),f329(f329(f115(f918(x91891,a905)),x91894),x91895))) % 166.52/166.35 [9190]~P1(f329(f329(f239(f918(x91901,a905)),x91905),x91903))+~P1(f329(f329(f239(f918(x91901,a905)),x91902),x91904))+P1(f329(f329(f239(f918(x91901,a905)),f329(f329(f23(f918(x91901,a905)),x91902),x91903)),f329(f329(f23(f918(x91901,a905)),x91904),x91905))) % 166.52/166.35 [9191]~P1(f329(f329(f239(f918(x91911,a905)),x91913),x91915))+~P1(f329(f329(f239(f918(x91911,a905)),x91912),x91914))+P1(f329(f329(f239(f918(x91911,a905)),f329(f329(f106(f918(x91911,a905)),x91912),x91913)),f329(f329(f106(f918(x91911,a905)),x91914),x91915))) % 166.52/166.35 [9294]P1(f329(f329(f331(f917(x92941,x92941)),f329(f329(f257(x92941,x92941),x92942),x92943)),f323(x92941,x92944,x92945)))+~P1(f329(f329(f239(a910),f329(x92944,x92942)),f329(x92944,x92943)))+~P1(f329(f329(f331(f917(x92941,x92941)),f329(f329(f257(x92941,x92941),x92942),x92943)),x92945)) % 166.52/166.35 [9476]P1(f329(f329(f331(f917(x94761,x94761)),f329(f329(f257(x94761,x94761),x94762),x94763)),f309(x94761,x94764)))+~P1(f329(f329(f331(f917(x94761,x94761)),f329(f329(f257(x94761,x94761),x94762),x94765)),f309(x94761,x94764)))+~P1(f329(f329(f331(f917(x94761,x94761)),f329(f329(f257(x94761,x94761),x94765),x94763)),x94764)) % 166.52/166.35 [9477]P1(f329(f329(f331(f917(x94771,x94771)),f329(f329(f257(x94771,x94771),x94772),x94773)),f309(x94771,x94774)))+~P1(f329(f329(f331(f917(x94771,x94771)),f329(f329(f257(x94771,x94771),x94775),x94773)),f309(x94771,x94774)))+~P1(f329(f329(f331(f917(x94771,x94771)),f329(f329(f257(x94771,x94771),x94772),x94775)),x94774)) % 166.52/166.35 [9575]E(x95751,x95752)+E(f329(a117,f605(x95753,x95754,x95751,x95752,x95755)),x95754)+~P1(f329(f329(f331(f917(x95755,x95755)),f329(f329(f257(x95755,x95755),x95752),x95751)),f329(f329(f186(f917(x95755,x95755),a905),x95754),x95753))) % 166.52/166.35 [9576]E(x95761,x95762)+E(f329(a117,f607(x95763,x95764,x95761,x95762,x95765)),x95764)+~P1(f329(f329(f331(f917(x95765,x95765)),f329(f329(f257(x95765,x95765),x95762),x95761)),f329(f329(f186(f917(x95765,x95765),a905),x95764),x95763))) % 166.52/166.35 [9577]E(x95771,f2(a910))+E(f329(a117,f605(x95772,x95771,x95773,x95774,x95775)),x95771)+~P1(f329(f329(f331(f917(x95775,x95775)),f329(f329(f257(x95775,x95775),x95774),x95773)),f329(f329(f186(f917(x95775,x95775),a905),x95771),x95772))) % 166.52/166.35 [9578]E(x95781,f2(a910))+E(f329(a117,f607(x95782,x95781,x95783,x95784,x95785)),x95781)+~P1(f329(f329(f331(f917(x95785,x95785)),f329(f329(f257(x95785,x95785),x95784),x95783)),f329(f329(f186(f917(x95785,x95785),a905),x95781),x95782))) % 166.52/166.35 [9600]P1(f329(f329(f331(f917(x96001,x96001)),f329(f329(f257(x96001,x96001),x96002),x96003)),f329(f329(f291(x96001,x96001,x96001),x96004),f309(x96001,x96004))))+~P1(f329(f329(f331(f917(x96001,x96001)),f329(f329(f257(x96001,x96001),x96002),x96005)),x96004))+~P1(f329(f329(f331(f917(x96001,x96001)),f329(f329(f257(x96001,x96001),x96005),x96003)),x96004)) % 166.52/166.35 [9607]~P1(f329(f329(f331(f917(x96071,x96071)),f329(f329(f257(x96071,x96071),x96072),x96075)),f309(x96071,x96074)))+P1(f329(f329(f331(f917(x96071,x96071)),f329(f329(f257(x96071,x96071),x96072),x96073)),f329(f329(f291(x96071,x96071,x96071),x96074),f309(x96071,x96074))))+~P1(f329(f329(f331(f917(x96071,x96071)),f329(f329(f257(x96071,x96071),x96075),x96073)),x96074)) % 166.52/166.35 [9642]~P13(x96421,x96425,x96422)+~P1(f329(f329(f331(f917(x96421,x96421)),f329(f329(f257(x96421,x96421),x96423),x96424)),x96422))+P1(f329(f329(f239(f918(x96421,a905)),f329(f288(x96421,x96421,x96422),f329(f329(f311(x96421),x96423),f191(f918(x96421,a905))))),f329(f288(x96421,x96421,x96422),f329(f329(f311(x96421),x96424),f191(f918(x96421,a905)))))) % 166.52/166.35 [9699]P1(f329(f329(f331(f917(x96991,x96991)),f329(f329(f257(x96991,x96991),x96992),x96993)),f329(f329(f291(x96991,x96991,x96991),x96994),f309(x96991,x96994))))+~P1(f329(f329(f331(f917(x96991,x96991)),f329(f329(f257(x96991,x96991),x96992),x96995)),f329(f329(f291(x96991,x96991,x96991),x96994),f309(x96991,x96994))))+~P1(f329(f329(f331(f917(x96991,x96991)),f329(f329(f257(x96991,x96991),x96995),x96993)),x96994)) % 166.52/166.35 [9700]P1(f329(f329(f331(f917(x97001,x97001)),f329(f329(f257(x97001,x97001),x97002),x97003)),f329(f329(f291(x97001,x97001,x97001),x97004),f309(x97001,x97004))))+~P1(f329(f329(f331(f917(x97001,x97001)),f329(f329(f257(x97001,x97001),x97005),x97003)),f329(f329(f291(x97001,x97001,x97001),x97004),f309(x97001,x97004))))+~P1(f329(f329(f331(f917(x97001,x97001)),f329(f329(f257(x97001,x97001),x97002),x97005)),x97004)) % 166.52/166.35 [9752]~P1(f329(f67(x97521,x97521,x97524,x97522,x97523),x97525))+P1(f329(f329(f331(x97521),x97522),x97523))+P1(f329(f63(x97521,x97524,f329(f329(f311(x97521),x97522),x97523)),x97525)) % 166.52/166.35 [9790]~E(f329(f312(x97903,x97902,x97905),x97904),x97901)+E(x97901,f191(f918(x97902,a905)))+P1(f329(f329(f239(f918(x97903,a905)),f329(f312(x97902,x97903,f712(x97904,x97903,x97902,x97901)),x97901)),x97904)) % 166.52/166.35 [9837]~P10(x98375)+P1(f329(f329(f331(x98371),f425(x98372,x98373,x98374,x98371,x98375)),x98374))+P1(f329(f329(f239(x98375),f329(f329(f40(x98371,x98375),x98374),x98373)),x98372)) % 166.52/166.35 [9892]P40(x98921,x98922,x98923,x98924,x98925)+~E(f329(f192(f911(x98921)),x98924),f329(f192(f911(x98922)),x98925))+P1(f329(f329(f331(f917(x98921,x98922)),f719(x98925,x98924,x98923,x98922,x98921)),f329(f175(f917(x98921,x98922)),f329(f329(f184(x98921,x98922),x98924),x98925)))) % 166.52/166.35 [9893]P40(x98931,x98932,x98933,x98934,x98935)+~E(f329(f192(f911(x98931)),x98934),f329(f192(f911(x98932)),x98935))+P1(f329(f329(f331(f917(x98931,x98932)),f720(x98933,x98935,x98934,x98932,x98931)),f329(f175(f917(x98931,x98932)),f329(f329(f184(x98931,x98932),x98934),x98935)))) % 166.52/166.35 [10018]E(x100181,x100182)+P1(f329(f329(f331(f917(x100183,x100183)),f329(f329(f257(x100183,x100183),x100181),f606(x100184,x100185,x100182,x100181,x100183))),x100184))+~P1(f329(f329(f331(f917(x100183,x100183)),f329(f329(f257(x100183,x100183),x100181),x100182)),f329(f329(f186(f917(x100183,x100183),a905),x100185),x100184))) % 166.52/166.35 [10019]E(x100191,f2(a910))+P1(f329(f329(f331(f917(x100192,x100192)),f329(f329(f257(x100192,x100192),x100193),f606(x100194,x100191,x100195,x100193,x100192))),x100194))+~P1(f329(f329(f331(f917(x100192,x100192)),f329(f329(f257(x100192,x100192),x100193),x100195)),f329(f329(f186(f917(x100192,x100192),a905),x100191),x100194))) % 166.52/166.35 [10060]~P10(x100601)+~P1(f329(f329(f239(x100601),f329(x100604,f425(x100605,x100604,x100603,x100602,x100601))),x100605))+P1(f329(f329(f239(x100601),f329(f329(f40(x100602,x100601),x100603),x100604)),x100605)) % 166.52/166.35 [10101]E(x101011,x101012)+P1(f329(f329(f331(f917(x101013,x101013)),f329(f329(f257(x101013,x101013),f608(x101014,x101015,x101011,x101012,x101013)),x101011)),x101014))+~P1(f329(f329(f331(f917(x101013,x101013)),f329(f329(f257(x101013,x101013),x101012),x101011)),f329(f329(f186(f917(x101013,x101013),a905),x101015),x101014))) % 166.52/166.35 [10102]E(x101021,f2(a910))+P1(f329(f329(f331(f917(x101022,x101022)),f329(f329(f257(x101022,x101022),f608(x101023,x101021,x101024,x101025,x101022)),x101024)),x101023))+~P1(f329(f329(f331(f917(x101022,x101022)),f329(f329(f257(x101022,x101022),x101025),x101024)),f329(f329(f186(f917(x101022,x101022),a905),x101021),x101023))) % 166.52/166.35 [10106]E(x101061,x101062)+P1(f329(f329(f331(f917(x101063,x101063)),f329(f329(f257(x101063,x101063),x101061),f608(x101064,x101065,x101062,x101061,x101063))),f329(f329(f186(f917(x101063,x101063),a905),f607(x101064,x101065,x101062,x101061,x101063)),x101064)))+~P1(f329(f329(f331(f917(x101063,x101063)),f329(f329(f257(x101063,x101063),x101061),x101062)),f329(f329(f186(f917(x101063,x101063),a905),x101065),x101064))) % 166.52/166.35 [10107]E(x101071,f2(a910))+P1(f329(f329(f331(f917(x101072,x101072)),f329(f329(f257(x101072,x101072),x101073),f608(x101074,x101071,x101075,x101073,x101072))),f329(f329(f186(f917(x101072,x101072),a905),f607(x101074,x101071,x101075,x101073,x101072)),x101074)))+~P1(f329(f329(f331(f917(x101072,x101072)),f329(f329(f257(x101072,x101072),x101073),x101075)),f329(f329(f186(f917(x101072,x101072),a905),x101071),x101074))) % 166.52/166.35 [10154]E(x101541,x101542)+P1(f329(f329(f331(f917(x101543,x101543)),f329(f329(f257(x101543,x101543),f606(x101544,x101545,x101541,x101542,x101543)),x101541)),f329(f329(f186(f917(x101543,x101543),a905),f605(x101544,x101545,x101541,x101542,x101543)),x101544)))+~P1(f329(f329(f331(f917(x101543,x101543)),f329(f329(f257(x101543,x101543),x101542),x101541)),f329(f329(f186(f917(x101543,x101543),a905),x101545),x101544))) % 166.52/166.35 [10155]E(x101551,f2(a910))+P1(f329(f329(f331(f917(x101552,x101552)),f329(f329(f257(x101552,x101552),f606(x101553,x101551,x101554,x101555,x101552)),x101554)),f329(f329(f186(f917(x101552,x101552),a905),f605(x101553,x101551,x101554,x101555,x101552)),x101553)))+~P1(f329(f329(f331(f917(x101552,x101552)),f329(f329(f257(x101552,x101552),x101555),x101554)),f329(f329(f186(f917(x101552,x101552),a905),x101551),x101553))) % 166.52/166.35 [10191]~P5(x101912)+~P1(f329(f62(x101911),x101915))+E(f329(f329(f6(x101911,x101912),f329(f329(f7(x101911,x101912,x101912),f329(f329(f18(x101911,x101912,f918(x101912,x101912)),f329(f329(f8(a905,f918(x101912,f918(x101912,x101912)),x101911),f99(x101912)),f329(f329(f7(x101911,f918(x101911,a905),a905),f331(x101911)),x101913))),x101914)),f2(x101912))),x101915),f329(f329(f6(x101911,x101912),x101914),f329(f329(f106(f918(x101911,a905)),x101915),x101913))) % 166.52/166.35 [8771]~P5(x87711)+~P1(f329(f62(x87714),x87715))+E(f329(f329(f82(x87711),f329(x87712,x87713)),f329(f329(f6(x87714,x87711),x87712),f329(f329(f23(f918(x87714,a905)),x87715),f329(f329(f311(x87714),x87713),f191(f918(x87714,a905)))))),f329(f329(f6(x87714,x87711),x87712),f329(f329(f311(x87714),x87713),x87715))) % 166.52/166.35 [8772]~P80(x87721)+~P1(f329(f62(x87724),x87725))+E(f329(f329(f83(x87721),f329(x87722,x87723)),f329(f329(f9(x87724,x87721),x87722),f329(f329(f23(f918(x87724,a905)),x87725),f329(f329(f311(x87724),x87723),f191(f918(x87724,a905)))))),f329(f329(f9(x87724,x87721),x87722),f329(f329(f311(x87724),x87723),x87725))) % 166.52/166.35 [9093]~P112(x90932)+~P18(x90932,f329(f171(x90932),f329(f329(f157(x90931,x90932),x90934),x90935)))+E(f329(f139(x90931,f329(f329(f8(x90932,a905,x90931),f329(f240(x90932),x90933)),x90934)),x90935),f180(x90931,f329(f329(f8(x90932,a905,x90931),f329(f240(x90932),x90933)),x90934),x90935)) % 166.52/166.35 [9118]~P5(x91181)+E(f329(f329(f82(x91181),f329(f329(f6(a910,x91181),x91182),f305(a910,x91183,x91184))),f329(f329(f6(a910,x91181),x91182),f305(a910,f329(f329(f82(a910),x91184),f80(a910)),f329(f329(f82(a910),x91184),x91185)))),f329(f329(f6(a910,x91181),x91182),f305(a910,x91183,f329(f329(f82(a910),x91184),x91185))))+~P1(f329(f329(f239(a910),x91183),f329(f329(f82(a910),x91184),f80(a910)))) % 166.52/166.35 [9119]~P1(f329(f329(f331(x91191),x91194),x91195))+~P1(f329(f329(f239(f918(x91191,a905)),f329(f175(x91191),x91192)),x91195))+P1(f329(f329(f239(f918(x91191,a905)),f329(f175(x91191),f329(f329(f162(x91191,x91192),x91193),x91194))),x91195)) % 166.52/166.35 [9353]~P10(x93532)+~P1(f329(f62(x93531),x93535))+E(f329(f329(f65(x93531,x93532,f329(f329(f8(x93532,f918(x93532,x93532),x93531),f115(x93532)),x93533)),x93534),x93535),f329(f329(f115(x93532),x93534),f329(f329(f40(x93531,x93532),x93535),x93533))) % 166.52/166.35 [9354]~P10(x93542)+~P1(f329(f62(x93541),x93545))+E(f329(f329(f65(x93541,x93542,f329(f329(f8(x93542,f918(x93542,x93542),x93541),f106(x93542)),x93543)),x93544),x93545),f329(f329(f106(x93542),x93544),f329(f329(f41(x93541,x93542),x93545),x93543))) % 166.52/166.35 [9401]E(f329(x94011,x94012),f329(x94011,x94013))+P1(f329(f329(f240(a910),f329(x94011,x94012)),f329(x94011,x94013)))+~P1(f329(f329(f331(f917(x94014,x94014)),f329(f329(f257(x94014,x94014),x94012),x94013)),f156(x94014,f329(f329(f154(f918(x94014,a910)),x94011),x94015)))) % 166.52/166.35 [9434]~E(f329(x94344,x94342),f329(x94344,x94343))+~P1(f329(f329(f331(f917(x94341,x94341)),f329(f329(f257(x94341,x94341),x94342),x94343)),f156(x94341,x94345)))+P1(f329(f329(f331(f917(x94341,x94341)),f329(f329(f257(x94341,x94341),x94342),x94343)),f156(x94341,f329(f329(f154(f918(x94341,a910)),x94344),x94345)))) % 166.52/166.35 [9454]~P30(x94541,x94542,x94543,x94545)+P30(x94541,x94542,x94543,f329(f329(f311(x94541),x94544),x94545))+P1(f329(f329(f331(x94542),f329(x94543,x94544)),f329(f312(x94541,x94542,x94543),f329(f329(f23(f918(x94541,a905)),x94545),f329(f329(f311(x94541),x94544),f191(f918(x94541,a905))))))) % 166.52/166.35 [9457]P1(f329(x94572,x94575))+~P1(f329(f329(f331(x94571),x94575),f329(f175(x94571),x94573)))+E(f329(f329(f141(x94571),f329(f192(f911(x94571)),f180(x94571,x94572,f329(f329(f137(x94571),x94573),x94574)))),f329(f329(f137(x94571),x94573),x94574)),f329(f329(f137(x94571),f329(f329(f141(x94571),f329(f192(f911(x94571)),f180(x94571,x94572,x94573))),x94573)),x94574)) % 166.52/166.35 [9462]~P1(f329(f329(f331(f917(x94621,x94621)),f329(f329(f257(x94621,x94621),x94622),x94623)),f156(x94621,x94625)))+~P1(f329(f329(f239(a910),f329(x94624,x94622)),f329(x94624,x94623)))+P1(f329(f329(f331(f917(x94621,x94621)),f329(f329(f257(x94621,x94621),x94622),x94623)),f156(x94621,f329(f329(f154(f918(x94621,a910)),x94624),x94625)))) % 166.52/166.35 [9525]P1(f329(f329(f331(f917(x95254,x95254)),f329(f329(f257(x95254,x95254),x95252),x95253)),f156(x95254,x95255)))+P1(f329(f329(f240(a910),f329(x95251,x95252)),f329(x95251,x95253)))+~P1(f329(f329(f331(f917(x95254,x95254)),f329(f329(f257(x95254,x95254),x95252),x95253)),f156(x95254,f329(f329(f154(f918(x95254,a910)),x95251),x95255)))) % 166.52/166.35 [9671]~P1(f329(f329(f331(f917(f911(x96711),f911(x96711))),f329(f329(f257(f911(x96711),f911(x96711)),x96712),x96714)),f161(x96711,x96715)))+~P1(f329(f329(f240(a910),x96713),f329(f192(f911(x96711)),x96712)))+P1(f329(f329(f331(f917(x96711,x96711)),f329(f329(f257(x96711,x96711),f329(f329(f167(x96711),x96712),x96713)),f329(f329(f167(x96711),x96714),x96713))),x96715)) % 166.52/166.35 [9915]E(x99151,f2(a1))+~P1(f329(f50(x99153,x99151),f329(f329(f257(a1,a1),x99154),x99155)))+P1(f329(f50(f329(f329(f83(a1),x99152),x99153),x99151),f329(f329(f257(a1,a1),f329(f329(f82(a1),f329(f329(f83(a1),x99152),x99154)),f329(f329(f37(a1),f329(f329(f83(a1),x99152),x99155)),x99151))),f46(a1,f329(f329(f83(a1),x99152),x99155),x99151)))) % 166.52/166.35 [9917]~P1(f329(f329(f240(a910),f2(a910)),x99173))+~P1(f329(f49(x99172,x99173),f329(f329(f257(a910,a910),x99174),x99175)))+P1(f329(f49(f329(f329(f83(a910),x99171),x99172),x99173),f329(f329(f257(a910,a910),f329(f329(f82(a910),f329(f329(f83(a910),x99171),x99174)),f329(f329(f37(a910),f329(f329(f83(a910),x99171),x99175)),x99173))),f46(a910,f329(f329(f83(a910),x99171),x99175),x99173)))) % 166.52/166.35 [10214]~P5(x102142)+~P1(f329(f62(x102141),x102144))+E(f329(f329(f6(x102141,x102142),x102143),f329(f267(x102141),f329(f329(f18(x102141,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102141),a327),f329(f329(f7(x102141,f918(x102141,a905),a905),f331(x102141)),x102144))),f329(f329(f7(x102141,f918(x102141,a905),a905),f331(x102141)),x102145)))),f329(f329(f6(x102141,x102142),f329(f329(f7(x102141,x102142,x102142),f329(f329(f18(x102141,x102142,f918(x102142,x102142)),f329(f329(f8(a905,f918(x102142,f918(x102142,x102142)),x102141),f99(x102142)),f329(f329(f7(x102141,f918(x102141,a905),a905),f331(x102141)),x102145))),x102143)),f2(x102142))),x102144)) % 166.52/166.35 [8391]~E(f329(f329(f137(x83911),x83912),x83915),f329(f329(f137(x83911),x83913),x83914))+E(f329(f329(f137(x83911),f329(f329(f141(x83911),f329(f192(f911(x83911)),x83912)),x83913)),x83914),x83915)+P1(f329(f329(f239(a910),f329(f192(f911(x83911)),x83913)),f329(f192(f911(x83911)),x83912))) % 166.52/166.35 [8596]~E(f329(f329(f137(x85962),x85963),x85961),f329(f329(f137(x85962),x85964),x85965))+E(x85961,f329(f329(f137(x85962),f329(f329(f141(x85962),f329(f192(f911(x85962)),x85963)),x85964)),x85965))+~P1(f329(f329(f239(a910),f329(f192(f911(x85962)),x85963)),f329(f192(f911(x85962)),x85964))) % 166.52/166.35 [8690]~E(f329(f329(f82(a910),f329(f329(f83(a910),x86903),x86904)),x86901),f329(f329(f82(a910),f329(f329(f83(a910),x86902),x86904)),x86905))+~P1(f329(f329(f239(a910),x86903),x86902))+E(x86901,f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x86902),x86903)),x86904)),x86905)) % 166.52/166.35 [8691]~E(f329(f329(f82(a910),f329(f329(f83(a910),x86911),x86913)),x86914),f329(f329(f82(a910),f329(f329(f83(a910),x86912),x86913)),x86915))+~P1(f329(f329(f239(a910),x86912),x86911))+E(f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x86911),x86912)),x86913)),x86914),x86915) % 166.52/166.35 [8848]E(f329(f329(f82(a910),f329(f329(f83(a910),x88481),x88482)),x88483),f329(f329(f82(a910),f329(f329(f83(a910),x88484),x88482)),x88485))+~P1(f329(f329(f239(a910),x88484),x88481))+~E(x88485,f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x88481),x88484)),x88482)),x88483)) % 166.52/166.35 [8849]E(f329(f329(f82(a910),f329(f329(f83(a910),x88491),x88492)),x88493),f329(f329(f82(a910),f329(f329(f83(a910),x88494),x88492)),x88495))+~P1(f329(f329(f239(a910),x88494),x88491))+~E(f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x88491),x88494)),x88492)),x88493),x88495) % 166.52/166.35 [9725]~P71(x97252)+~P1(f329(f62(x97251),x97255))+E(f329(f329(f9(x97251,x97252),f329(f329(f18(x97251,x97252,x97252),f329(f329(f8(x97252,f918(x97252,x97252),x97251),f292(x97252)),x97253)),x97254)),x97255),f329(f329(f292(x97252),f329(f329(f9(x97251,x97252),x97253),x97255)),f329(f329(f9(x97251,x97252),x97254),x97255))) % 166.52/166.35 [9855]~E(f620(x98555,x98554,x98553,x98552,x98551),f616(x98555,x98554,x98553,x98552,x98551))+P1(f329(f329(f331(f917(x98551,x98551)),f329(f329(f257(x98551,x98551),x98552),x98553)),f309(x98551,x98554)))+~P1(f329(f329(f331(f917(x98551,x98551)),f329(f329(f257(x98551,x98551),x98552),x98553)),f309(x98551,f329(f329(f115(f918(f917(x98551,x98551),a905)),x98554),x98555)))) % 166.52/166.35 [9856]~E(f621(x98565,x98564,x98563,x98562,x98561),f622(x98565,x98564,x98563,x98562,x98561))+P1(f329(f329(f331(f917(x98561,x98561)),f329(f329(f257(x98561,x98561),x98562),x98563)),f309(x98561,x98564)))+~P1(f329(f329(f331(f917(x98561,x98561)),f329(f329(f257(x98561,x98561),x98562),x98563)),f309(x98561,f329(f329(f115(f918(f917(x98561,x98561),a905)),x98564),x98565)))) % 166.52/166.35 [10050]P1(f329(f329(f331(f917(x100501,x100501)),f329(f329(f257(x100501,x100501),x100502),f616(x100505,x100504,x100503,x100502,x100501))),f309(x100501,x100504)))+P1(f329(f329(f331(f917(x100501,x100501)),f329(f329(f257(x100501,x100501),x100502),x100503)),f309(x100501,x100504)))+~P1(f329(f329(f331(f917(x100501,x100501)),f329(f329(f257(x100501,x100501),x100502),x100503)),f309(x100501,f329(f329(f115(f918(f917(x100501,x100501),a905)),x100504),x100505)))) % 166.52/166.35 [10128]P1(f329(f329(f331(f917(x101281,x101281)),f329(f329(f257(x101281,x101281),f622(x101285,x101284,x101283,x101282,x101281)),x101283)),f309(x101281,x101284)))+P1(f329(f329(f331(f917(x101281,x101281)),f329(f329(f257(x101281,x101281),x101282),x101283)),f309(x101281,x101284)))+~P1(f329(f329(f331(f917(x101281,x101281)),f329(f329(f257(x101281,x101281),x101282),x101283)),f309(x101281,f329(f329(f115(f918(f917(x101281,x101281),a905)),x101284),x101285)))) % 166.52/166.35 [10161]P1(f329(f329(f331(f917(x101611,x101611)),f329(f329(f257(x101611,x101611),x101612),x101613)),f309(x101611,x101614)))+P1(f329(f329(f331(f917(x101611,x101611)),f329(f329(f257(x101611,x101611),f616(x101615,x101614,x101613,x101612,x101611)),f620(x101615,x101614,x101613,x101612,x101611))),x101615))+~P1(f329(f329(f331(f917(x101611,x101611)),f329(f329(f257(x101611,x101611),x101612),x101613)),f309(x101611,f329(f329(f115(f918(f917(x101611,x101611),a905)),x101614),x101615)))) % 166.52/166.35 [10162]P1(f329(f329(f331(f917(x101621,x101621)),f329(f329(f257(x101621,x101621),x101622),x101623)),f309(x101621,x101624)))+P1(f329(f329(f331(f917(x101621,x101621)),f329(f329(f257(x101621,x101621),f621(x101625,x101624,x101623,x101622,x101621)),f622(x101625,x101624,x101623,x101622,x101621))),x101625))+~P1(f329(f329(f331(f917(x101621,x101621)),f329(f329(f257(x101621,x101621),x101622),x101623)),f309(x101621,f329(f329(f115(f918(f917(x101621,x101621),a905)),x101624),x101625)))) % 166.52/166.35 [10305]~P1(f329(f329(f331(f917(f911(x103051),f911(x103051))),f329(f329(f257(f911(x103051),f911(x103051)),x103054),x103055)),f161(x103051,x103052)))+~P1(f329(f329(f331(f917(x103051,x103051)),x103053),f329(f175(f917(x103051,x103051)),f329(f329(f184(x103051,x103051),x103054),x103055))))+P1(f329(f329(f262(x103051,x103051,a905),f329(f329(f7(x103051,f918(f917(x103051,x103051),a905),f918(x103051,a905)),f329(f329(f8(f918(x103051,f918(f918(f917(x103051,x103051),a905),a905)),f918(f918(f917(x103051,x103051),a905),f918(x103051,a905)),x103051),f7(x103051,f918(f917(x103051,x103051),a905),a905)),f329(f329(f8(f918(x103051,f917(x103051,x103051)),f918(x103051,f918(f918(f917(x103051,x103051),a905),a905)),x103051),f329(f8(f917(x103051,x103051),f918(f918(f917(x103051,x103051),a905),a905),x103051),f331(f917(x103051,x103051)))),f257(x103051,x103051)))),x103052)),x103053)) % 166.52/166.35 [9756]~P1(f329(f329(f239(a910),x97563),x97562))+~P1(f329(f329(f239(a910),f329(f329(f82(a910),f329(f329(f83(a910),x97563),x97564)),x97561)),f329(f329(f82(a910),f329(f329(f83(a910),x97562),x97564)),x97565)))+P1(f329(f329(f239(a910),x97561),f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x97562),x97563)),x97564)),x97565))) % 166.52/166.35 [9757]~P1(f329(f329(f239(a910),x97573),x97572))+~P1(f329(f329(f240(a910),f329(f329(f82(a910),f329(f329(f83(a910),x97573),x97574)),x97571)),f329(f329(f82(a910),f329(f329(f83(a910),x97572),x97574)),x97575)))+P1(f329(f329(f240(a910),x97571),f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x97572),x97573)),x97574)),x97575))) % 166.52/166.35 [9774]~P1(f329(f329(f239(a910),x97741),x97744))+P1(f329(f329(f239(a910),f329(f329(f82(a910),f329(f329(f83(a910),x97741),x97742)),x97743)),f329(f329(f82(a910),f329(f329(f83(a910),x97744),x97742)),x97745)))+~P1(f329(f329(f239(a910),x97743),f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x97744),x97741)),x97742)),x97745))) % 166.52/166.35 [9775]~P1(f329(f329(f239(a910),x97751),x97754))+P1(f329(f329(f240(a910),f329(f329(f82(a910),f329(f329(f83(a910),x97751),x97752)),x97753)),f329(f329(f82(a910),f329(f329(f83(a910),x97754),x97752)),x97755)))+~P1(f329(f329(f240(a910),x97753),f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x97754),x97751)),x97752)),x97755))) % 166.52/166.35 [9890]~P1(f329(f329(f239(a910),x98902),x98901))+~P1(f329(f329(f239(a910),f329(f329(f82(a910),f329(f329(f83(a910),x98901),x98903)),x98904)),f329(f329(f82(a910),f329(f329(f83(a910),x98902),x98903)),x98905)))+P1(f329(f329(f239(a910),f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x98901),x98902)),x98903)),x98904)),x98905)) % 166.52/166.35 [9891]~P1(f329(f329(f239(a910),x98912),x98911))+~P1(f329(f329(f240(a910),f329(f329(f82(a910),f329(f329(f83(a910),x98911),x98913)),x98914)),f329(f329(f82(a910),f329(f329(f83(a910),x98912),x98913)),x98915)))+P1(f329(f329(f240(a910),f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x98911),x98912)),x98913)),x98914)),x98915)) % 166.52/166.35 [9936]~P1(f329(f329(f239(a910),x99364),x99361))+P1(f329(f329(f239(a910),f329(f329(f82(a910),f329(f329(f83(a910),x99361),x99362)),x99363)),f329(f329(f82(a910),f329(f329(f83(a910),x99364),x99362)),x99365)))+~P1(f329(f329(f239(a910),f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x99361),x99364)),x99362)),x99363)),x99365)) % 166.52/166.35 [9937]~P1(f329(f329(f239(a910),x99374),x99371))+P1(f329(f329(f240(a910),f329(f329(f82(a910),f329(f329(f83(a910),x99371),x99372)),x99373)),f329(f329(f82(a910),f329(f329(f83(a910),x99374),x99372)),x99375)))+~P1(f329(f329(f240(a910),f329(f329(f82(a910),f329(f329(f83(a910),f329(f329(f23(a910),x99371),x99374)),x99372)),x99373)),x99375)) % 166.52/166.35 [10149]~P16(x101491,x101492,x101495,x101493)+~P1(f329(f329(f331(f917(x101491,x101491)),x101494),x101495))+P1(f329(f329(f262(x101491,x101491,a905),f329(f329(f7(x101491,f918(x101491,x101492),f918(x101491,a905)),f329(f329(f8(f918(x101492,a905),f918(f918(x101491,x101492),f918(x101491,a905)),x101491),f8(x101492,a905,x101491)),f329(f329(f8(x101492,f918(x101492,a905),x101491),a326),x101493))),x101493)),x101494)) % 166.52/166.35 [10170]~P114(x101701)+~P46(x101701,f918(x101702,a905),x101703)+P46(x101701,f918(x101702,a905),f329(f329(f7(x101701,f918(x101702,a905),f918(x101702,a905)),f329(f329(f8(f918(x101702,a905),f918(f918(x101702,a905),f918(x101702,a905)),x101701),f115(f918(x101702,a905))),f329(f329(f7(x101701,f918(x101702,a905),f918(x101702,a905)),f329(f329(f8(f918(x101702,a905),f918(f918(x101702,a905),f918(x101702,a905)),x101701),f115(f918(x101702,a905))),x101703)),x101704))),x101705)) % 166.52/166.35 [7365]~P48(x73654,x73652,x73655,x73656)+P48(f29(x73651,x73653,x73654),x73652,x73655,x73656)+P1(f329(x73651,x73652)) % 166.52/166.35 [7440]~P48(x74402,x74404,x74405,x74406)+P48(f29(x74401,x74402,x74403),x74404,x74405,x74406)+~P1(f329(x74401,x74404)) % 166.52/166.35 [7524]P48(x75243,x75242,x75244,x75245)+~P48(f29(x75241,x75246,x75243),x75242,x75244,x75245)+P1(f329(x75241,x75242)) % 166.52/166.35 [7554]P48(x75541,x75542,x75543,x75544)+~P48(f29(x75545,x75541,x75546),x75542,x75543,x75544)+~P1(f329(x75545,x75542)) % 166.52/166.35 [7923]~P48(x79231,x79233,x79234,x79236)+~P48(x79232,x79236,x79234,x79235)+P48(f32(x79231,x79232),x79233,x79234,x79235) % 166.52/166.35 [7926]P48(x79261,x79262,x79263,x79264)+P48(x79265,x79262,x79263,x79264)+~P48(f29(x79266,x79261,x79265),x79262,x79263,x79264) % 166.52/166.35 [8554]~P24(x85546,x85541,x85542,x85544)+E(f329(f74(x85541,x85541,x85541,f329(x85542,x85543)),f329(x85544,x85545)),f329(f74(x85541,x85541,x85541,f329(x85544,x85545)),f329(x85542,x85543)))+~P1(f329(f62(x85546),x85545)) % 166.52/166.35 [8983]~P30(x89831,x89833,x89835,x89836)+~P30(x89833,x89832,x89834,f329(f312(x89831,x89833,x89835),x89836))+P30(x89831,x89832,f329(f74(x89833,x89832,x89831,x89834),x89835),x89836) % 166.52/166.35 [9559]~P1(f329(f329(x95593,x95592),x95596))+~P1(f329(f329(x95594,x95595),x95592))+P1(f329(f329(f331(x95591),x95592),f302(x95591,x95593,x95594,x95595,x95596))) % 166.52/166.35 [9560]~P1(f329(f329(x95604,x95602),x95606))+~P1(f329(f329(x95603,x95605),x95602))+P1(f329(f329(f331(x95601),x95602),f299(x95601,x95603,x95604,x95605,x95606))) % 166.52/166.35 [9672]E(x96721,x96722)+E(x96723,x96724)+~P1(f329(f329(f331(f917(f911(x96725),f911(x96725))),f329(f329(f257(f911(x96725),f911(x96725)),f329(f329(f154(x96725),x96723),x96721)),f329(f329(f154(x96725),x96724),x96722))),f160(x96725,x96726))) % 166.52/166.35 [9681]~E(x96812,x96814)+P1(f329(f329(f331(f917(f911(x96811),f911(x96811))),f329(f329(f257(f911(x96811),f911(x96811)),f329(f329(f154(x96811),x96812),x96813)),f329(f329(f154(x96811),x96814),x96815))),f148(x96811,x96816)))+~P1(f329(f329(f331(f917(f911(x96811),f911(x96811))),f329(f329(f257(f911(x96811),f911(x96811)),x96813),x96815)),f148(x96811,x96816))) % 166.52/166.35 [9682]~E(x96822,x96824)+P1(f329(f329(f331(f917(f911(x96821),f911(x96821))),f329(f329(f257(f911(x96821),f911(x96821)),f329(f329(f154(x96821),x96822),x96823)),f329(f329(f154(x96821),x96824),x96825))),f150(x96821,x96826)))+~P1(f329(f329(f331(f917(f911(x96821),f911(x96821))),f329(f329(f257(f911(x96821),f911(x96821)),x96823),x96825)),f150(x96821,x96826))) % 166.52/166.35 [9683]~E(x96832,x96834)+P1(f329(f329(f331(f917(f911(x96831),f911(x96831))),f329(f329(f257(f911(x96831),f911(x96831)),f329(f329(f154(x96831),x96832),x96833)),f329(f329(f154(x96831),x96834),x96835))),f160(x96831,x96836)))+~P1(f329(f329(f331(f917(f911(x96831),f911(x96831))),f329(f329(f257(f911(x96831),f911(x96831)),x96833),x96835)),f160(x96831,x96836))) % 166.52/166.35 [9684]~E(x96842,x96844)+P1(f329(f329(f331(f917(f911(x96841),f911(x96841))),f329(f329(f257(f911(x96841),f911(x96841)),f329(f329(f137(x96841),x96842),x96843)),f329(f329(f137(x96841),x96844),x96845))),f160(x96841,x96846)))+~P1(f329(f329(f331(f917(f911(x96841),f911(x96841))),f329(f329(f257(f911(x96841),f911(x96841)),x96843),x96845)),f160(x96841,x96846))) % 166.52/166.35 [9685]~E(x96853,x96855)+P1(f329(f329(f331(f917(f911(x96851),f911(x96851))),f329(f329(f257(f911(x96851),f911(x96851)),f329(f329(f137(x96851),x96852),x96853)),f329(f329(f137(x96851),x96854),x96855))),f160(x96851,x96856)))+~P1(f329(f329(f331(f917(f911(x96851),f911(x96851))),f329(f329(f257(f911(x96851),f911(x96851)),x96852),x96854)),f160(x96851,x96856))) % 166.52/166.35 [9744]E(x97441,x97442)+P1(f329(f329(f331(f917(f911(x97443),f911(x97443))),f329(f329(f257(f911(x97443),f911(x97443)),x97441),x97442)),f160(x97443,x97444)))+~P1(f329(f329(f331(f917(f911(x97443),f911(x97443))),f329(f329(f257(f911(x97443),f911(x97443)),f329(f329(f154(x97443),x97445),x97441)),f329(f329(f154(x97443),x97446),x97442))),f160(x97443,x97444))) % 166.52/166.35 [9894]~E(x98943,x98945)+P1(f329(f329(f331(f917(f911(x98941),f911(x98941))),f329(f329(f257(f911(x98941),f911(x98941)),f329(f329(f137(x98941),x98942),f329(f329(f154(x98941),x98943),f118(x98941)))),f329(f329(f137(x98941),x98944),f329(f329(f154(x98941),x98945),f118(x98941))))),f160(x98941,x98946)))+~P1(f329(f329(f331(f917(f911(x98941),f911(x98941))),f329(f329(f257(f911(x98941),f911(x98941)),x98942),x98944)),f160(x98941,x98946))) % 166.52/166.35 [9940]E(x99401,x99402)+E(x99403,x99404)+~P1(f329(f329(f331(f917(f911(x99405),f911(x99405))),f329(f329(f257(f911(x99405),f911(x99405)),f329(f329(f137(x99405),x99403),f329(f329(f154(x99405),x99401),f118(x99405)))),f329(f329(f137(x99405),x99404),f329(f329(f154(x99405),x99402),f118(x99405))))),f160(x99405,x99406))) % 166.52/166.35 [9965]E(x99651,x99652)+~P1(f329(f329(f331(f917(f911(x99653),f911(x99653))),f329(f329(f257(f911(x99653),f911(x99653)),f329(f329(f137(x99653),x99651),f329(f329(f154(x99653),x99655),f118(x99653)))),f329(f329(f137(x99653),x99652),f329(f329(f154(x99653),x99656),f118(x99653))))),f160(x99653,x99654)))+P1(f329(f329(f331(f917(f911(x99653),f911(x99653))),f329(f329(f257(f911(x99653),f911(x99653)),x99651),x99652)),f160(x99653,x99654))) % 166.52/166.35 [10001]~P1(f329(f329(f331(f917(f918(x100011,a905),f918(x100011,a905))),f329(f329(f257(f918(x100011,a905),f918(x100011,a905)),x100012),x100014)),f320(x100011,x100016)))+~P1(f329(f329(f331(f917(f918(x100011,a905),f918(x100011,a905))),f329(f329(f257(f918(x100011,a905),f918(x100011,a905)),x100013),x100015)),f320(x100011,x100016)))+P1(f329(f329(f331(f917(f918(x100011,a905),f918(x100011,a905))),f329(f329(f257(f918(x100011,a905),f918(x100011,a905)),f329(f329(f115(f918(x100011,a905)),x100012),x100013)),f329(f329(f115(f918(x100011,a905)),x100014),x100015))),f320(x100011,x100016))) % 166.52/166.35 [5771]~E(f329(f329(f137(x57711),x57716),x57713),x57715)+E(f329(f329(f137(x57711),x57712),x57713),f329(f329(f154(x57711),x57714),x57715))+~E(x57712,f329(f329(f154(x57711),x57714),x57716)) % 166.52/166.35 [5772]~E(f329(f329(f137(x57721),x57726),x57723),x57725)+E(f329(f329(f137(x57721),x57722),x57723),f329(f329(f137(x57721),x57724),x57725))+~E(x57722,f329(f329(f137(x57721),x57724),x57726)) % 166.52/166.35 [5774]E(f329(f329(f137(x57741),x57742),x57743),f329(f329(f154(x57741),x57744),x57745))+~E(f329(f329(f154(x57741),x57744),x57746),x57742)+~E(x57745,f329(f329(f137(x57741),x57746),x57743)) % 166.52/166.35 [5776]~E(f329(f329(f137(x57761),x57762),x57766),x57764)+E(f329(f329(f137(x57761),x57762),x57763),f329(f329(f137(x57761),x57764),x57765))+~E(x57763,f329(f329(f137(x57761),x57766),x57765)) % 166.52/166.35 [6916]E(f329(x69161,x69162),f329(x69163,x69162))+~E(f329(f329(f157(x69164,x69165),x69161),x69166),f329(f329(f157(x69164,x69165),x69163),x69166))+~P1(f329(f329(f331(x69164),x69162),f329(f175(x69164),x69166))) % 166.52/166.35 [7296]~P24(x72964,x72965,x72966,x72961)+E(f329(f329(x72961,x72962),x72963),f329(f329(f65(x72964,x72965,x72966),x72963),x72962))+~P1(f329(f62(x72964),x72962)) % 166.52/166.35 [7370]~E(x73702,f329(x73704,x73706))+~P1(f329(f329(f331(x73703),x73706),x73705))+P1(f329(f329(f331(x73701),x73702),f329(f312(x73703,x73701,x73704),x73705))) % 166.52/166.35 [7371]~E(f329(x73714,x73712),x73716)+~P1(f329(f329(f331(x73713),x73716),x73715))+P1(f329(f329(f331(x73711),x73712),f329(f313(x73711,x73713,x73714),x73715))) % 166.52/166.35 [7826]~P38(x78261,x78262,x78264,x78266)+P38(x78261,x78262,f329(f329(f154(x78261),x78263),x78264),f329(f329(f154(x78261),x78265),x78266))+~P1(f329(f329(x78262,x78263),x78265)) % 166.52/166.35 [8856]~P64(x88564,x88565,x88561,x88562,x88566)+E(f329(x88561,f329(x88562,x88563)),x88563)+~P1(f329(f329(f331(x88565),x88563),x88566)) % 166.52/166.35 [9362]~P31(x93622,x93621,x93625,x93624,x93623)+E(f329(f94(x93621,x93622,x93623,f94(x93622,x93621,x93624,x93625)),x93626),f329(x93625,x93626))+~P1(f329(f329(f331(x93622),x93626),x93624)) % 166.52/166.35 [9372]~P30(x93721,x93722,x93723,x93726)+P30(x93721,x93722,f76(x93721,x93722,x93723,x93724,x93725),x93726)+P1(f329(f329(f331(x93722),x93725),f329(f312(x93721,x93722,x93723),x93726))) % 166.52/166.36 [9674]E(x96741,x96742)+E(f329(f192(f911(x96743)),x96744),f329(f192(f911(x96743)),x96745))+~P1(f329(f329(f331(f917(f911(x96743),f911(x96743))),f329(f329(f257(f911(x96743),f911(x96743)),f329(f329(f154(x96743),x96741),x96744)),f329(f329(f154(x96743),x96742),x96745))),f148(x96743,x96746))) % 166.52/166.36 [9738]~P21(x97381,x97382,x97383)+E(f329(f329(f65(x97381,x97382,x97383),x97384),x97385),x97386)+~P1(f329(f67(x97381,x97382,x97383,x97384,x97385),x97386)) % 166.52/166.36 [9747]E(f329(f192(f911(x97471)),x97472),f329(f192(f911(x97471)),x97473))+P1(f329(f329(f331(f917(f911(x97471),f911(x97471))),f329(f329(f257(f911(x97471),f911(x97471)),x97472),x97473)),f148(x97471,x97474)))+~P1(f329(f329(f331(f917(f911(x97471),f911(x97471))),f329(f329(f257(f911(x97471),f911(x97471)),f329(f329(f154(x97471),x97475),x97472)),f329(f329(f154(x97471),x97476),x97473))),f148(x97471,x97474))) % 166.52/166.36 [9768]~P1(f329(f329(f331(f917(x97681,x97681)),f329(f329(f257(x97681,x97681),x97682),x97684)),f309(x97681,x97686)))+P1(f329(f329(f331(f917(f911(x97681),f911(x97681))),f329(f329(f257(f911(x97681),f911(x97681)),f329(f329(f154(x97681),x97682),x97683)),f329(f329(f154(x97681),x97684),x97685))),f309(f911(x97681),f160(x97681,x97686))))+~P1(f329(f329(f331(f917(f911(x97681),f911(x97681))),f329(f329(f257(f911(x97681),f911(x97681)),x97683),x97685)),f309(f911(x97681),f160(x97681,x97686)))) % 166.52/166.36 [9946]~P1(f329(x99462,x99466))+~E(f329(f139(x99461,x99462),x99463),f329(f329(f154(x99461),x99464),x99465))+~P1(f329(f329(f331(x99461),x99466),f329(f175(x99461),f766(x99465,x99464,x99463,x99462,x99461)))) % 166.52/166.36 [9947]~P1(f329(x99474,x99476))+~E(f329(f329(f154(x99471),x99472),x99473),f329(f139(x99471,x99474),x99475))+~P1(f329(f329(f331(x99471),x99476),f329(f175(x99471),f768(x99475,x99474,x99473,x99472,x99471)))) % 166.52/166.36 [10250]~P5(x102502)+E(f329(f329(f6(x102501,x102502),f329(f329(f8(f918(x102503,a905),x102502,x102501),f329(f6(x102503,x102502),x102504)),f329(f329(f8(f918(x102503,a905),f918(x102503,a905),x102501),f267(x102503)),f329(f329(f8(f918(x102503,a905),f918(x102503,a905),x102501),f329(f18(x102503,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102503),a327),f329(f329(f7(x102503,f918(x102503,a905),a905),f331(x102503)),x102505)))),f329(f7(x102503,x102501,a905),f329(f329(f8(x102501,f918(x102501,a905),x102503),a326),x102506)))))),f329(f312(x102503,x102501,x102506),x102505)),f329(f329(f6(x102503,x102502),x102504),x102505))+~P1(f329(f62(x102503),x102505)) % 166.52/166.36 [6972]~P112(x69723)+P1(f329(x69722,x69725))+E(f329(f139(x69721,x69722),f329(f329(f151(x69721,x69723,x69724),x69725),x69726)),f329(f139(x69721,x69722),x69726)) % 166.52/166.36 [6974]P1(f329(x69741,x69742))+~E(f169(x69743,x69741,x69744),f329(f329(f257(f911(x69743),f911(x69743)),x69745),x69746))+~P1(f329(f329(f331(x69743),x69742),f329(f175(x69743),x69745))) % 166.52/166.36 [7017]~P1(f329(x70172,x70176))+~E(f169(x70171,x70172,x70173),f329(f329(f257(f911(x70171),f911(x70171)),x70174),x70175))+~P1(f329(f329(f331(x70171),x70176),f329(f175(x70171),x70175))) % 166.52/166.36 [7690]~P19(x76901,x76902,x76903)+~P1(f329(f62(x76901),x76906))+E(f329(f329(f65(x76901,x76902,x76903),x76904),f329(f329(f311(x76901),x76905),x76906)),f329(f329(f65(x76901,x76902,x76903),f329(f329(x76903,x76905),x76904)),x76906)) % 166.52/166.36 [7741]~P112(x77412)+~P1(f329(f329(f239(x77412),f329(x77413,x77414)),f329(x77413,x77415)))+E(f329(f329(f151(x77411,x77412,x77413),x77414),f329(f329(f154(x77411),x77415),x77416)),f329(f329(f154(x77411),x77414),f329(f329(f154(x77411),x77415),x77416))) % 166.52/166.36 [7855]E(x78551,x78552)+~E(f329(f329(f259(x78553,x78554),x78551),f329(f16(f918(x78554,a905),x78553),x78555)),f329(f329(f259(x78553,x78554),x78552),f329(f16(f918(x78554,a905),x78553),x78555)))+~P1(f329(f329(f331(x78554),x78556),x78555)) % 166.52/166.36 [7928]~P19(x79281,x79282,x79283)+~P1(f329(f62(x79281),x79286))+E(f329(f329(f65(x79281,x79282,x79283),x79284),f329(f329(f311(x79281),x79285),x79286)),f329(f329(x79283,x79285),f329(f329(f65(x79281,x79282,x79283),x79284),x79286))) % 166.52/166.36 [8045]~P21(x80451,x80452,x80453)+~P1(f329(f62(x80451),x80456))+E(f329(f329(f65(x80451,x80452,x80453),f329(f329(x80453,x80454),x80455)),x80456),f329(f329(x80453,x80454),f329(f329(f65(x80451,x80452,x80453),x80455),x80456))) % 166.52/166.36 [8116]~P25(x81162,x81165,x81166,x81161)+~P1(f329(f62(x81162),x81164))+E(f329(x81161,f329(f329(f311(x81162),x81163),x81164)),f329(f74(x81165,x81165,x81165,f329(x81161,x81164)),f329(x81166,x81163))) % 166.52/166.36 [8154]~P112(x81542)+P1(f329(f329(f239(x81542),f329(x81543,x81544)),f329(x81543,x81545)))+E(f329(f329(f151(x81541,x81542,x81543),x81544),f329(f329(f154(x81541),x81545),x81546)),f329(f329(f154(x81541),x81545),f329(f329(f151(x81541,x81542,x81543),x81544),x81546))) % 166.52/166.36 [8297]~E(f329(f192(f911(x82971)),x82975),f329(f192(f911(x82972)),x82976))+~E(f329(f192(f911(x82971)),x82973),f329(f192(f911(x82972)),x82974))+E(f329(f329(f137(f917(x82971,x82972)),f329(f329(f184(x82971,x82972),x82973),x82974)),f329(f329(f184(x82971,x82972),x82975),x82976)),f329(f329(f184(x82971,x82972),f329(f329(f137(x82971),x82973),x82975)),f329(f329(f137(x82972),x82974),x82976))) % 166.52/166.36 [8409]~E(x84092,f329(f312(x84093,x84091,x84094),x84096))+P1(f329(f329(f239(f918(x84091,a905)),x84092),f329(f312(x84093,x84091,x84094),x84095)))+~P1(f329(f329(f239(f918(x84093,a905)),x84096),x84095)) % 166.52/166.36 [8512]~P112(x85125)+E(f329(x85121,x85122),f329(x85121,x85123))+E(f329(f329(f151(x85124,x85125,x85121),x85122),f329(f329(f151(x85124,x85125,x85121),x85123),x85126)),f329(f329(f151(x85124,x85125,x85121),x85123),f329(f329(f151(x85124,x85125,x85121),x85122),x85126))) % 166.52/166.36 [8699]~P1(f329(f329(f331(x86992),x86994),f329(x86996,x86993)))+~P1(f329(f329(f331(x86991),x86993),x86995))+P1(f329(f329(f331(f917(x86991,x86992)),f329(f329(f257(x86991,x86992),x86993),x86994)),f329(f329(f259(x86991,x86992),x86995),x86996))) % 166.52/166.36 [9162]~P5(x91622)+~P30(x91624,x91621,x91625,x91626)+E(f329(f329(f6(x91621,x91622),x91623),f329(f312(x91624,x91621,x91625),x91626)),f329(f329(f6(x91624,x91622),f329(f74(x91621,x91622,x91624,x91623),x91625)),x91626)) % 166.52/166.36 [9163]~P80(x91632)+~P30(x91634,x91631,x91635,x91636)+E(f329(f329(f9(x91631,x91632),x91633),f329(f312(x91634,x91631,x91635),x91636)),f329(f329(f9(x91634,x91632),f329(f74(x91631,x91632,x91634,x91633),x91635)),x91636)) % 166.52/166.36 [9209]~P40(x92092,x92095,x92091,x92093,x92096)+P1(f329(f329(x92091,f329(f329(f167(x92092),x92093),x92094)),f329(f329(f167(x92095),x92096),x92094)))+~P1(f329(f329(f240(a910),x92094),f329(f192(f911(x92095)),x92096))) % 166.52/166.36 [9210]~P40(x92102,x92105,x92101,x92103,x92106)+P1(f329(f329(x92101,f329(f329(f167(x92102),x92103),x92104)),f329(f329(f167(x92105),x92106),x92104)))+~P1(f329(f329(f240(a910),x92104),f329(f192(f911(x92102)),x92103))) % 166.52/166.36 [9221]~E(f329(f312(x92211,x92212,x92213),x92214),x92216)+E(f329(f312(x92211,x92212,x92213),f329(f312(x92212,x92211,f94(x92211,x92212,x92214,x92213)),x92215)),x92215)+~P1(f329(f329(f239(f918(x92212,a905)),x92215),x92216)) % 166.52/166.36 [9429]~P24(x94293,x94291,x94296,x94292)+~P1(f329(f62(x94293),x94294))+E(f329(f74(x94291,x94291,x94291,f329(x94292,f329(f329(f23(f918(x94293,a905)),x94294),f329(f329(f311(x94293),x94295),f191(f918(x94293,a905)))))),f329(x94296,x94295)),f329(x94292,f329(f329(f311(x94293),x94295),x94294))) % 166.52/166.36 [9441]~P1(f329(f329(f331(x94415),x94413),x94416))+P1(f329(f329(f331(x94411),f329(x94412,x94413)),f101(f918(x94411,a905),x94414)))+~P1(f329(f329(f239(f918(x94411,a905)),f329(f312(x94415,x94411,x94412),x94416)),f329(x94414,f329(f312(x94415,x94411,x94412),x94416)))) % 166.52/166.36 [10030]~E(f329(f312(x100302,x100304,x100306),f247(f918(x100302,a905))),f247(f918(x100304,a905)))+~E(f329(f312(x100301,x100303,x100305),f247(f918(x100301,a905))),f247(f918(x100303,a905)))+E(f329(f312(f917(x100301,x100302),f917(x100303,x100304),f263(x100301,x100303,x100302,x100304,x100305,x100306)),f247(f918(f917(x100301,x100302),a905))),f247(f918(f917(x100303,x100304),a905))) % 166.52/166.36 [10078]~P30(x100783,x100784,x100785,f329(x100786,f652(x100786,x100785,x100784,x100783,x100782,x100781)))+P30(x100783,x100784,x100785,f329(f329(f41(x100782,f918(x100783,a905)),x100781),x100786))+E(x100781,f191(f918(x100782,a905))) % 166.52/166.36 [10135]P30(x101356,x101355,x101354,f329(f329(f41(x101352,f918(x101356,a905)),x101351),x101353))+E(x101351,f191(f918(x101352,a905)))+P1(f329(f329(f331(x101352),f652(x101353,x101354,x101355,x101356,x101352,x101351)),x101351)) % 166.52/166.36 [10140]P1(f329(f329(f331(x101401),f586(x101402,x101403,x101404,x101405,x101406,x101401)),x101406))+P1(f329(f329(f239(f918(f917(x101401,x101404),a905)),f329(f329(f259(x101401,x101404),x101406),x101403)),f329(f329(f259(x101401,x101404),x101405),x101402)))+~P1(f329(f329(f239(f918(x101401,a905)),x101406),x101405)) % 166.52/166.36 [10176]P29(x101766,x101765,f329(f329(f311(f909(x101766)),f329(f329(f329(f93(x101766),x101761),x101763),x101762)),f191(f918(f909(x101766),a905))))+~P29(x101766,x101765,f329(f329(f311(f909(x101766)),f329(f329(f329(f93(x101766),x101764),x101763),x101762)),f191(f918(f909(x101766),a905))))+P1(f329(f329(x101761,f481(x101761,x101762,x101763,x101764,x101765,x101766)),f491(x101761,x101762,x101763,x101764,x101765,x101766))) % 166.52/166.36 [10177]P29(x101776,x101775,f329(f329(f311(f909(x101776)),f329(f329(f329(f93(x101776),x101774),x101773),x101772)),f191(f918(f909(x101776),a905))))+~P29(x101776,x101775,f329(f329(f311(f909(x101776)),f329(f329(f329(f93(x101776),x101774),x101773),x101771)),f191(f918(f909(x101776),a905))))+P1(f329(f329(x101771,f503(x101772,x101771,x101773,x101774,x101775,x101776)),f516(x101772,x101771,x101773,x101774,x101775,x101776))) % 166.52/166.36 [10220]~P29(x102201,x102202,f329(f329(f311(f909(x102201)),f329(f329(f329(f93(x102201),x102203),x102204),x102206)),f191(f918(f909(x102201),a905))))+P29(x102201,x102202,f329(f329(f311(f909(x102201)),f329(f329(f329(f93(x102201),x102203),x102204),x102205)),f191(f918(f909(x102201),a905))))+~P1(f329(f329(x102205,f503(x102205,x102206,x102204,x102203,x102202,x102201)),f516(x102205,x102206,x102204,x102203,x102202,x102201))) % 166.52/166.36 [10221]~P29(x102211,x102212,f329(f329(f311(f909(x102211)),f329(f329(f329(f93(x102211),x102216),x102214),x102215)),f191(f918(f909(x102211),a905))))+P29(x102211,x102212,f329(f329(f311(f909(x102211)),f329(f329(f329(f93(x102211),x102213),x102214),x102215)),f191(f918(f909(x102211),a905))))+~P1(f329(f329(x102216,f481(x102213,x102215,x102214,x102216,x102212,x102211)),f491(x102213,x102215,x102214,x102216,x102212,x102211))) % 166.52/166.36 [10263]~P1(f329(f329(f239(f918(x102632,a905)),f329(x102634,f586(x102636,x102634,x102632,x102635,x102633,x102631))),f329(x102636,f586(x102636,x102634,x102632,x102635,x102633,x102631))))+~P1(f329(f329(f239(f918(x102631,a905)),x102633),x102635))+P1(f329(f329(f239(f918(f917(x102631,x102632),a905)),f329(f329(f259(x102631,x102632),x102633),x102634)),f329(f329(f259(x102631,x102632),x102635),x102636))) % 166.52/166.36 [7877]~P1(f329(x78771,x78775))+~P1(f329(x78776,x78774))+P1(f329(x78771,f329(f261(x78772,x78773),f329(f329(f257(x78772,x78773),x78774),x78775)))) % 166.52/166.36 [7878]~P1(f329(x78781,x78784))+~P1(f329(x78786,x78785))+P1(f329(x78781,f329(f256(x78782,x78783),f329(f329(f257(x78782,x78783),x78784),x78785)))) % 166.52/166.36 [7933]~P1(f329(f329(x79334,x79336),x79335))+~P1(f329(f329(f331(x79331),x79336),x79333))+P1(f329(f329(f329(f40(x79331,f918(x79332,a905)),x79333),x79334),x79335)) % 166.52/166.36 [8249]~P1(f329(f329(f331(x82491),x82492),f329(x82495,x82496)))+~P1(f329(f329(f331(x82493),x82496),x82494))+P1(f329(f329(f331(x82491),x82492),f329(f329(f40(x82493,f918(x82491,a905)),x82494),x82495))) % 166.52/166.36 [8290]P1(f329(f329(x82901,x82902),x82903))+~P1(f329(f329(x82904,x82902),x82903))+~P1(f329(f329(f239(f918(x82905,f918(x82906,a905))),x82904),x82901)) % 166.52/166.36 [8435]P1(f329(f329(x84351,x84352),x84353))+~P1(f329(f329(f331(x84354),x84352),x84355))+~P1(f329(f329(f329(f41(x84354,f918(x84356,a905)),x84355),x84351),x84353)) % 166.52/166.36 [8570]P1(f329(f329(f331(x85701),x85702),f329(x85703,x85704)))+~P1(f329(f329(f331(x85705),x85704),x85706))+~P1(f329(f329(f331(x85701),x85702),f329(f329(f41(x85705,f918(x85701,a905)),x85706),x85703))) % 166.52/166.36 [8838]~P16(x88384,x88385,x88386,x88381)+E(f329(x88381,x88382),f329(x88381,x88383))+~P1(f329(f329(f331(f917(x88384,x88384)),f329(f329(f257(x88384,x88384),x88382),x88383)),x88386)) % 166.52/166.36 [8869]P1(f329(f329(f239(f918(x88691,a905)),x88692),f329(x88693,x88694)))+~P1(f329(f329(f331(x88695),x88694),x88696))+~P1(f329(f329(f239(f918(x88691,a905)),x88692),f329(f329(f41(x88695,f918(x88691,a905)),x88696),x88693))) % 166.52/166.36 [8900]~P62(x89003,x89004,f329(f289(x89004,x89003),x89005))+E(x89001,f191(f918(x89002,a905)))+E(f329(f329(f41(x89002,f918(x89003,a905)),x89001),f329(f329(f8(f918(x89004,a905),f918(x89003,a905),x89002),f288(x89004,x89003,x89005)),x89006)),f329(f288(x89004,x89003,x89005),f329(f329(f41(x89002,f918(x89004,a905)),x89001),x89006))) % 166.52/166.36 [8974]P1(f329(f329(f331(x89741),x89742),f329(f288(x89743,x89741,x89744),x89745)))+~P1(f329(f329(f331(x89743),x89746),x89745))+~P1(f329(f329(f331(f917(x89743,x89741)),f329(f329(f257(x89743,x89741),x89746),x89742)),x89744)) % 166.52/166.36 [9296]P1(f329(f329(f239(f918(x92961,a905)),f329(f288(x92962,x92961,x92963),x92964)),f329(f288(x92962,x92961,x92965),x92966)))+~P1(f329(f329(f239(f918(x92962,a905)),x92964),x92966))+~P1(f329(f329(f239(f918(f917(x92962,x92961),a905)),x92963),x92965)) % 166.52/166.36 [9478]~P1(f329(f329(f331(x94782),x94786),x94784))+~P1(f329(f329(f239(f918(x94781,a905)),x94783),x94785))+P1(f329(f329(f239(f918(f917(x94781,x94782),a905)),f329(f329(f259(x94781,x94782),x94783),f329(f16(f918(x94782,a905),x94781),x94784))),f329(f329(f259(x94781,x94782),x94785),f329(f16(f918(x94782,a905),x94781),x94784)))) % 166.52/166.36 [9490]~P40(x94901,x94902,x94903,x94905,x94906)+P1(f329(f329(f262(x94901,x94902,a905),x94903),x94904))+~P1(f329(f329(f331(f917(x94901,x94902)),x94904),f329(f175(f917(x94901,x94902)),f329(f329(f184(x94901,x94902),x94905),x94906)))) % 166.52/166.36 [9630]~E(x96303,x96305)+P1(f329(f329(f331(f917(f911(x96301),f911(x96301))),f329(f329(f257(f911(x96301),f911(x96301)),f329(f329(f154(x96301),x96302),x96303)),f329(f329(f154(x96301),x96304),x96305))),f160(x96301,x96306)))+~P1(f329(f329(f331(f917(x96301,x96301)),f329(f329(f257(x96301,x96301),x96302),x96304)),x96306)) % 166.52/166.36 [9635]~E(f329(f192(f911(x96351)),x96353),f329(f192(f911(x96351)),x96355))+P1(f329(f329(f331(f917(f911(x96351),f911(x96351))),f329(f329(f257(f911(x96351),f911(x96351)),f329(f329(f154(x96351),x96352),x96353)),f329(f329(f154(x96351),x96354),x96355))),f148(x96351,x96356)))+~P1(f329(f329(f331(f917(x96351,x96351)),f329(f329(f257(x96351,x96351),x96352),x96354)),x96356)) % 166.52/166.36 [9666]P1(f329(f329(f331(f917(x96661,x96661)),f329(f329(f257(x96661,x96661),x96662),x96663)),f329(f329(f186(f917(x96661,x96661),a905),f329(a117,x96664)),x96665)))+~P1(f329(f329(f331(f917(x96661,x96661)),f329(f329(f257(x96661,x96661),x96666),x96663)),x96665))+~P1(f329(f329(f331(f917(x96661,x96661)),f329(f329(f257(x96661,x96661),x96662),x96666)),f329(f329(f186(f917(x96661,x96661),a905),x96664),x96665))) % 166.52/166.36 [9667]P1(f329(f329(f331(f917(x96671,x96671)),f329(f329(f257(x96671,x96671),x96672),x96673)),f329(f329(f186(f917(x96671,x96671),a905),f329(a117,x96674)),x96675)))+~P1(f329(f329(f331(f917(x96671,x96671)),f329(f329(f257(x96671,x96671),x96672),x96676)),x96675))+~P1(f329(f329(f331(f917(x96671,x96671)),f329(f329(f257(x96671,x96671),x96676),x96673)),f329(f329(f186(f917(x96671,x96671),a905),x96674),x96675))) % 166.52/166.36 [9670]~P1(f329(f329(f331(x96704),x96705),x96706))+P1(f329(f329(f239(f918(x96701,a905)),x96702),x96703))+~P1(f329(f329(f239(f918(f917(x96701,x96704),a905)),f329(f329(f259(x96701,x96704),x96702),f329(f16(f918(x96704,a905),x96701),x96706))),f329(f329(f259(x96701,x96704),x96703),f329(f16(f918(x96704,a905),x96701),x96706)))) % 166.52/166.36 [9715]E(x97151,x97152)+~P1(f329(f329(f331(f917(f911(x97153),f911(x97153))),f329(f329(f257(f911(x97153),f911(x97153)),f329(f329(f154(x97153),x97151),x97155)),f329(f329(f154(x97153),x97152),x97156))),f148(x97153,x97154)))+P1(f329(f329(f331(f917(x97153,x97153)),f329(f329(f257(x97153,x97153),x97151),x97152)),x97154)) % 166.52/166.36 [9716]E(x97161,x97162)+~P1(f329(f329(f331(f917(f911(x97163),f911(x97163))),f329(f329(f257(f911(x97163),f911(x97163)),f329(f329(f154(x97163),x97161),x97165)),f329(f329(f154(x97163),x97162),x97166))),f150(x97163,x97164)))+P1(f329(f329(f331(f917(x97163,x97163)),f329(f329(f257(x97163,x97163),x97161),x97162)),x97164)) % 166.52/166.36 [9717]E(x97171,x97172)+~P1(f329(f329(f331(f917(f911(x97173),f911(x97173))),f329(f329(f257(f911(x97173),f911(x97173)),f329(f329(f154(x97173),x97171),x97175)),f329(f329(f154(x97173),x97172),x97176))),f160(x97173,x97174)))+P1(f329(f329(f331(f917(x97173,x97173)),f329(f329(f257(x97173,x97173),x97171),x97172)),x97174)) % 166.52/166.36 [9755]P1(f329(f329(f331(f917(f911(x97551),f911(x97551))),f329(f329(f257(f911(x97551),f911(x97551)),f329(f329(f154(x97551),x97552),x97553)),f329(f329(f154(x97551),x97554),x97555))),f161(x97551,x97556)))+~P1(f329(f329(f331(f917(f911(x97551),f911(x97551))),f329(f329(f257(f911(x97551),f911(x97551)),x97553),x97555)),f161(x97551,x97556)))+~P1(f329(f329(f331(f917(x97551,x97551)),f329(f329(f257(x97551,x97551),x97552),x97554)),x97556)) % 166.52/166.36 [9772]P1(f329(x97721,x97722))+~P1(f329(x97721,f423(x97721,x97723,x97724,x97725,x97726)))+~P1(f329(f329(f331(x97726),x97722),f329(f329(f40(x97725,f918(x97726,a905)),x97724),x97723))) % 166.52/166.36 [9777]~P1(f329(f329(f331(f917(f911(x97771),f911(x97771))),f329(f329(f257(f911(x97771),f911(x97771)),f329(f329(f154(x97771),x97772),x97775)),f329(f329(f154(x97771),x97773),x97776))),f148(x97771,x97774)))+P1(f329(f329(f331(f917(f911(x97771),f911(x97771))),f329(f329(f257(f911(x97771),f911(x97771)),x97775),x97776)),f148(x97771,x97774)))+P1(f329(f329(f331(f917(x97771,x97771)),f329(f329(f257(x97771,x97771),x97772),x97773)),x97774)) % 166.52/166.36 [9778]~P1(f329(f329(f331(f917(f911(x97781),f911(x97781))),f329(f329(f257(f911(x97781),f911(x97781)),f329(f329(f154(x97781),x97782),x97785)),f329(f329(f154(x97781),x97783),x97786))),f150(x97781,x97784)))+P1(f329(f329(f331(f917(f911(x97781),f911(x97781))),f329(f329(f257(f911(x97781),f911(x97781)),x97785),x97786)),f150(x97781,x97784)))+P1(f329(f329(f331(f917(x97781,x97781)),f329(f329(f257(x97781,x97781),x97782),x97783)),x97784)) % 166.52/166.36 [9779]~P1(f329(f329(f331(f917(f911(x97791),f911(x97791))),f329(f329(f257(f911(x97791),f911(x97791)),f329(f329(f154(x97791),x97792),x97795)),f329(f329(f154(x97791),x97793),x97796))),f160(x97791,x97794)))+P1(f329(f329(f331(f917(f911(x97791),f911(x97791))),f329(f329(f257(f911(x97791),f911(x97791)),x97795),x97796)),f160(x97791,x97794)))+P1(f329(f329(f331(f917(x97791,x97791)),f329(f329(f257(x97791,x97791),x97792),x97793)),x97794)) % 166.52/166.36 [9866]P1(f329(x98661,x98662))+P1(f329(f329(f331(x98663),f424(x98661,x98664,x98665,x98663,x98666)),x98665))+~P1(f329(f329(f331(x98666),x98662),f329(f329(f40(x98663,f918(x98666,a905)),x98665),x98664))) % 166.52/166.36 [9877]~E(x98772,x98774)+P1(f329(f329(f331(f917(f911(x98771),f911(x98771))),f329(f329(f257(f911(x98771),f911(x98771)),f329(f329(f137(x98771),x98772),f329(f329(f154(x98771),x98773),f118(x98771)))),f329(f329(f137(x98771),x98774),f329(f329(f154(x98771),x98775),f118(x98771))))),f160(x98771,x98776)))+~P1(f329(f329(f331(f917(x98771,x98771)),f329(f329(f257(x98771,x98771),x98773),x98775)),x98776)) % 166.52/166.36 [9955]E(x99551,x99552)+~P1(f329(f329(f331(f917(f911(x99553),f911(x99553))),f329(f329(f257(f911(x99553),f911(x99553)),f329(f329(f137(x99553),x99555),f329(f329(f154(x99553),x99551),f118(x99553)))),f329(f329(f137(x99553),x99556),f329(f329(f154(x99553),x99552),f118(x99553))))),f160(x99553,x99554)))+P1(f329(f329(f331(f917(x99553,x99553)),f329(f329(f257(x99553,x99553),x99551),x99552)),x99554)) % 166.52/166.36 [9984]~P1(f329(f329(f331(f917(f911(x99841),f911(x99841))),f329(f329(f257(f911(x99841),f911(x99841)),f329(f329(f137(x99841),x99845),f329(f329(f154(x99841),x99842),f118(x99841)))),f329(f329(f137(x99841),x99846),f329(f329(f154(x99841),x99843),f118(x99841))))),f160(x99841,x99844)))+P1(f329(f329(f331(f917(f911(x99841),f911(x99841))),f329(f329(f257(f911(x99841),f911(x99841)),x99845),x99846)),f160(x99841,x99844)))+P1(f329(f329(f331(f917(x99841,x99841)),f329(f329(f257(x99841,x99841),x99842),x99843)),x99844)) % 166.52/166.36 [10002]P1(f329(x100021,x100022))+P1(f329(f329(f331(x100023),f423(x100021,x100024,x100025,x100026,x100023)),f329(x100024,f424(x100021,x100024,x100025,x100026,x100023))))+~P1(f329(f329(f331(x100023),x100022),f329(f329(f40(x100026,f918(x100023,a905)),x100025),x100024))) % 166.52/166.36 [8995]~P21(x89953,x89954,x89951)+~P1(f329(f62(x89953),x89956))+E(f329(f329(x89951,x89952),f329(f329(f65(x89953,x89954,x89951),x89955),f329(f329(f23(f918(x89953,a905)),x89956),f329(f329(f311(x89953),x89952),f191(f918(x89953,a905)))))),f329(f329(f65(x89953,x89954,x89951),x89955),f329(f329(f311(x89953),x89952),x89956))) % 166.52/166.36 [9305]~P1(f329(f329(f331(x93055),x93053),x93056))+P1(f329(f329(f239(f918(x93051,a905)),f329(x93052,x93053)),x93054))+~P1(f329(f329(f239(f918(x93051,a905)),f329(f329(f40(x93055,f918(x93051,a905)),x93056),x93052)),x93054)) % 166.52/166.36 [9929]~P13(x99291,x99295,x99294)+P1(f329(f329(f331(f917(x99291,x99291)),f329(f329(f257(x99291,x99291),x99292),x99293)),x99294))+~P1(f329(f329(f331(x99291),x99296),f329(f329(f106(f918(x99291,a905)),f329(f288(x99291,x99291,x99294),f329(f329(f311(x99291),x99292),f191(f918(x99291,a905))))),f329(f288(x99291,x99291,x99294),f329(f329(f311(x99291),x99293),f191(f918(x99291,a905))))))) % 166.52/166.36 [8735]~P121(x87352)+~E(f329(f329(f82(x87352),f329(f329(f83(x87352),x87354),x87355)),x87351),f329(f329(f82(x87352),f329(f329(f83(x87352),x87353),x87355)),x87356))+E(x87351,f329(f329(f82(x87352),f329(f329(f83(x87352),f329(f329(f23(x87352),x87353),x87354)),x87355)),x87356)) % 166.52/166.36 [8736]~P121(x87361)+~E(f329(f329(f82(x87361),f329(f329(f83(x87361),x87362),x87364)),x87365),f329(f329(f82(x87361),f329(f329(f83(x87361),x87363),x87364)),x87366))+E(f329(f329(f82(x87361),f329(f329(f83(x87361),f329(f329(f23(x87361),x87362),x87363)),x87364)),x87365),x87366) % 166.52/166.36 [8903]~P121(x89031)+E(f329(f329(f82(x89031),f329(f329(f83(x89031),x89032),x89033)),x89034),f329(f329(f82(x89031),f329(f329(f83(x89031),x89035),x89033)),x89036))+~E(x89036,f329(f329(f82(x89031),f329(f329(f83(x89031),f329(f329(f23(x89031),x89032),x89035)),x89033)),x89034)) % 166.52/166.36 [8904]~P121(x89041)+E(f329(f329(f82(x89041),f329(f329(f83(x89041),x89042),x89043)),x89044),f329(f329(f82(x89041),f329(f329(f83(x89041),x89045),x89043)),x89046))+~E(f329(f329(f82(x89041),f329(f329(f83(x89041),f329(f329(f23(x89041),x89042),x89045)),x89043)),x89044),x89046) % 166.52/166.36 [9233]~P1(f329(f329(x92334,x92335),x92336))+~P1(f329(f329(x92333,x92335),x92336))+P1(f329(f329(f329(f329(f106(f918(x92331,f918(x92332,a905))),x92333),x92334),x92335),x92336)) % 166.52/166.36 [9498]P1(f329(f329(x94981,x94982),x94983))+P1(f329(f329(x94984,x94982),x94983))+~P1(f329(f329(f329(f329(f115(f918(x94985,f918(x94986,a905))),x94984),x94981),x94982),x94983)) % 166.52/166.36 [9792]~P138(x97921)+~P1(f329(f329(f239(x97921),f329(f329(f82(x97921),f329(f329(f83(x97921),x97924),x97925)),x97922)),f329(f329(f82(x97921),f329(f329(f83(x97921),x97923),x97925)),x97926)))+P1(f329(f329(f239(x97921),x97922),f329(f329(f82(x97921),f329(f329(f83(x97921),f329(f329(f23(x97921),x97923),x97924)),x97925)),x97926))) % 166.52/166.36 [9793]~P138(x97931)+~P1(f329(f329(f240(x97931),f329(f329(f82(x97931),f329(f329(f83(x97931),x97934),x97935)),x97932)),f329(f329(f82(x97931),f329(f329(f83(x97931),x97933),x97935)),x97936)))+P1(f329(f329(f240(x97931),x97932),f329(f329(f82(x97931),f329(f329(f83(x97931),f329(f329(f23(x97931),x97933),x97934)),x97935)),x97936))) % 166.52/166.36 [9816]~P138(x98161)+P1(f329(f329(f239(x98161),f329(f329(f82(x98161),f329(f329(f83(x98161),x98162),x98163)),x98164)),f329(f329(f82(x98161),f329(f329(f83(x98161),x98165),x98163)),x98166)))+~P1(f329(f329(f239(x98161),x98164),f329(f329(f82(x98161),f329(f329(f83(x98161),f329(f329(f23(x98161),x98165),x98162)),x98163)),x98166))) % 166.52/166.36 [9817]~P138(x98171)+P1(f329(f329(f240(x98171),f329(f329(f82(x98171),f329(f329(f83(x98171),x98172),x98173)),x98174)),f329(f329(f82(x98171),f329(f329(f83(x98171),x98175),x98173)),x98176)))+~P1(f329(f329(f240(x98171),x98174),f329(f329(f82(x98171),f329(f329(f83(x98171),f329(f329(f23(x98171),x98175),x98172)),x98173)),x98176))) % 166.52/166.36 [9921]~P138(x99211)+~P1(f329(f329(f239(x99211),f329(f329(f82(x99211),f329(f329(f83(x99211),x99212),x99214)),x99215)),f329(f329(f82(x99211),f329(f329(f83(x99211),x99213),x99214)),x99216)))+P1(f329(f329(f239(x99211),f329(f329(f82(x99211),f329(f329(f83(x99211),f329(f329(f23(x99211),x99212),x99213)),x99214)),x99215)),x99216)) % 166.52/166.36 [9922]~P138(x99221)+~P1(f329(f329(f240(x99221),f329(f329(f82(x99221),f329(f329(f83(x99221),x99222),x99224)),x99225)),f329(f329(f82(x99221),f329(f329(f83(x99221),x99223),x99224)),x99226)))+P1(f329(f329(f240(x99221),f329(f329(f82(x99221),f329(f329(f83(x99221),f329(f329(f23(x99221),x99222),x99223)),x99224)),x99225)),x99226)) % 166.52/166.36 [9967]~P138(x99671)+P1(f329(f329(f239(x99671),f329(f329(f82(x99671),f329(f329(f83(x99671),x99672),x99673)),x99674)),f329(f329(f82(x99671),f329(f329(f83(x99671),x99675),x99673)),x99676)))+~P1(f329(f329(f239(x99671),f329(f329(f82(x99671),f329(f329(f83(x99671),f329(f329(f23(x99671),x99672),x99675)),x99673)),x99674)),x99676)) % 166.52/166.36 [9968]~P138(x99681)+P1(f329(f329(f240(x99681),f329(f329(f82(x99681),f329(f329(f83(x99681),x99682),x99683)),x99684)),f329(f329(f82(x99681),f329(f329(f83(x99681),x99685),x99683)),x99686)))+~P1(f329(f329(f240(x99681),f329(f329(f82(x99681),f329(f329(f83(x99681),f329(f329(f23(x99681),x99682),x99685)),x99683)),x99684)),x99686)) % 166.52/166.36 [10129]~P5(x101292)+~P1(f329(f62(x101291),x101296))+E(f329(f329(f6(x101291,x101292),f329(f329(f18(x101291,x101292,x101292),f329(f329(f18(x101291,x101292,f918(x101292,x101292)),f329(f329(f8(a905,f918(x101292,f918(x101292,x101292)),x101291),f99(x101292)),x101293)),x101294)),x101295)),x101296),f329(f329(f82(x101292),f329(f329(f6(x101291,x101292),x101294),f329(f329(f106(f918(x101291,a905)),x101296),f329(f267(x101291),x101293)))),f329(f329(f6(x101291,x101292),x101295),f329(f329(f106(f918(x101291,a905)),x101296),f329(f81(f918(x101291,a905)),f329(f267(x101291),x101293)))))) % 166.52/166.36 [10187]P1(f329(f329(f331(x101872),x101874),x101876))+P1(f329(f329(f331(x101872),x101875),x101876))+E(f329(f313(x101871,x101872,f329(f329(f7(x101871,x101872,x101872),f329(f329(f7(x101871,x101872,f918(x101872,x101872)),f329(f329(f8(a905,f918(x101872,f918(x101872,x101872)),x101871),f99(x101872)),f329(f329(f7(x101871,f918(x101871,a905),a905),f331(x101871)),x101873))),x101874)),x101875)),x101876),f191(f918(x101871,a905))) % 166.52/166.36 [10188]P1(f329(f329(f331(x101882),x101885),x101886))+~P1(f329(f329(f331(x101882),x101884),x101886))+E(f329(f313(x101881,x101882,f329(f329(f7(x101881,x101882,x101882),f329(f329(f7(x101881,x101882,f918(x101882,x101882)),f329(f329(f8(a905,f918(x101882,f918(x101882,x101882)),x101881),f99(x101882)),f329(f329(f7(x101881,f918(x101881,a905),a905),f331(x101881)),x101883))),x101884)),x101885)),x101886),x101883) % 166.52/166.36 [10189]P1(f329(f329(f331(x101892),x101894),x101896))+~P1(f329(f329(f331(x101892),x101895),x101896))+E(f329(f313(x101891,x101892,f329(f329(f7(x101891,x101892,x101892),f329(f329(f7(x101891,x101892,f918(x101892,x101892)),f329(f329(f8(a905,f918(x101892,f918(x101892,x101892)),x101891),f99(x101892)),f329(f329(f7(x101891,f918(x101891,a905),a905),f331(x101891)),x101893))),x101894)),x101895)),x101896),f329(f81(f918(x101891,a905)),x101893)) % 166.52/166.36 [10190]~P1(f329(f329(f331(x101902),x101904),x101906))+~P1(f329(f329(f331(x101902),x101905),x101906))+E(f329(f313(x101901,x101902,f329(f329(f7(x101901,x101902,x101902),f329(f329(f7(x101901,x101902,f918(x101902,x101902)),f329(f329(f8(a905,f918(x101902,f918(x101902,x101902)),x101901),f99(x101902)),f329(f329(f7(x101901,f918(x101901,a905),a905),f331(x101901)),x101903))),x101904)),x101905)),x101906),f247(f918(x101901,a905))) % 166.52/166.36 [10344]P29(x103441,x103442,f329(f329(f311(f909(x103441)),f329(f329(f329(f93(x103441),f329(x103443,x103444)),f329(a26,x103444)),f329(x103445,x103444))),f191(f918(f909(x103441),a905))))+~P1(f329(f329(f331(a908),x103444),x103446))+~P29(x103441,f329(f329(f115(f918(f909(x103441),a905)),x103442),f329(f312(a908,f909(x103441),f329(f329(f18(a908,f918(x103441,f918(a906,a905)),f909(x103441)),f329(f329(f18(a908,a907,f918(f918(x103441,f918(a906,a905)),f909(x103441))),f329(f329(f8(f918(x103441,f918(a906,a905)),f918(a907,f918(f918(x103441,f918(a906,a905)),f909(x103441))),a908),f93(x103441)),x103443)),a26)),x103445)),x103446)),f329(f312(a908,f909(x103441),f329(f329(f18(a908,f918(x103441,f918(a906,a905)),f909(x103441)),f329(f329(f18(a908,a907,f918(f918(x103441,f918(a906,a905)),f909(x103441))),f329(f329(f8(f918(x103441,f918(a906,a905)),f918(a907,f918(f918(x103441,f918(a906,a905)),f909(x103441))),a908),f93(x103441)),x103443)),f329(f329(f8(f914(a907),a907,a908),f236(a907)),a27))),x103445)),x103446)) % 166.52/166.36 [8765]E(x87651,x87652)+~P64(x87654,x87655,x87653,x87656,x87657)+~E(f329(x87653,x87651),f329(x87653,x87652)) % 166.52/166.36 [8794]~P15(x87946,x87945,x87947,x87944,x87941)+E(f329(f329(x87941,x87942),x87943),x87944)+P1(f329(f62(x87945),x87943)) % 166.52/166.36 [9657]P50(x96571,x96572,x96573,x96574,x96575,f329(f329(x96573,x96576),x96577))+~E(f329(f329(x96573,x96576),x96577),x96574)+~E(x96575,f191(f918(x96571,a905))) % 166.52/166.36 [9839]~P1(f329(x98396,x98393))+~P1(f329(f329(f331(f917(x98392,x98392)),f329(f329(f257(x98392,x98392),x98394),x98395)),f329(x98397,x98393)))+P1(f329(f329(f331(f917(f917(x98391,x98392),f917(x98391,x98392))),f329(f329(f257(f917(x98391,x98392),f917(x98391,x98392)),f329(f329(f257(x98391,x98392),x98393),x98394)),f329(f329(f257(x98391,x98392),x98393),x98395))),f283(x98391,x98392,x98396,x98397))) % 166.52/166.36 [10253]~P50(x102532,x102537,x102533,x102536,x102531,f329(f329(x102533,x102535),x102534))+E(f329(f329(x102533,f504(x102534,x102535,x102531,x102536,x102533,x102537,x102532)),f505(x102534,x102535,x102531,x102536,x102533,x102537,x102532)),f329(f329(x102533,x102535),x102534))+E(x102531,f191(f918(x102532,a905))) % 166.52/166.36 [10254]~P50(x102547,x102546,x102541,x102544,x102545,f329(f329(x102541,x102542),x102543))+E(f329(f329(x102541,f504(x102543,x102542,x102545,x102544,x102541,x102546,x102547)),f505(x102543,x102542,x102545,x102544,x102541,x102546,x102547)),f329(f329(x102541,x102542),x102543))+E(f329(f329(x102541,x102542),x102543),x102544) % 166.52/166.36 [9340]~P40(x93401,x93402,x93403,x93405,x93407)+P40(x93401,x93402,x93403,f329(f329(f154(x93401),x93404),x93405),f329(f329(f154(x93402),x93406),x93407))+~P1(f329(f329(x93403,x93404),x93406)) % 166.52/166.36 [9355]P40(x93551,x93552,x93553,x93554,x93555)+~P40(x93551,x93552,x93553,f329(f329(f137(x93551),x93556),x93554),f329(f329(f137(x93552),x93557),x93555))+~E(f329(f192(f911(x93551)),x93556),f329(f192(f911(x93552)),x93557)) % 166.52/166.36 [9356]P40(x93561,x93562,x93563,x93564,x93565)+~P40(x93561,x93562,x93563,f329(f329(f137(x93561),x93564),x93566),f329(f329(f137(x93562),x93565),x93567))+~E(f329(f192(f911(x93561)),x93564),f329(f192(f911(x93562)),x93565)) % 166.52/166.36 [9563]~P40(x95631,x95632,x95633,x95635,x95637)+~P40(x95631,x95632,x95633,x95634,x95636)+P40(x95631,x95632,x95633,f329(f329(f137(x95631),x95634),x95635),f329(f329(f137(x95632),x95636),x95637)) % 166.52/166.36 [9912]~P1(f329(f67(x99121,x99124,x99125,x99126,x99123),x99127))+P1(f329(f67(x99121,x99124,x99125,x99126,f329(f329(f311(x99121),x99122),x99123)),f329(f329(x99125,x99122),x99127)))+P1(f329(f329(f331(x99121),x99122),x99123)) % 166.52/166.36 [10278]~P50(x102782,x102787,x102786,x102785,x102781,f329(f329(x102786,x102784),x102783))+E(x102781,f191(f918(x102782,a905)))+P1(f329(f329(f331(x102782),f504(x102783,x102784,x102781,x102785,x102786,x102787,x102782)),x102781)) % 166.52/166.36 [10279]~P50(x102795,x102797,x102791,x102794,x102796,f329(f329(x102791,x102792),x102793))+E(f329(f329(x102791,x102792),x102793),x102794)+P1(f329(f329(f331(x102795),f504(x102793,x102792,x102796,x102794,x102791,x102797,x102795)),x102796)) % 166.52/166.36 [9021]~P26(x90214,x90215,x90216,x90217,x90211)+~P1(f329(f62(x90215),x90213))+E(f329(f329(x90211,x90212),x90213),f329(f329(f329(f66(x90214,x90215,x90216),x90212),x90217),x90213)) % 166.52/166.36 [9022]~P15(x90224,x90225,x90226,x90227,x90221)+~P1(f329(f62(x90225),x90223))+E(f329(f329(x90221,x90222),x90223),f329(f329(f329(f66(x90224,x90225,x90226),x90222),x90227),x90223)) % 166.52/166.36 [9623]~P29(x96231,x96232,f329(f329(f311(f909(x96231)),f329(f329(f329(f93(x96231),x96233),x96234),x96237)),f191(f918(f909(x96231),a905))))+P29(x96231,x96232,f329(f329(f311(f909(x96231)),f329(f329(f329(f93(x96231),x96233),f32(x96234,x96235)),x96236)),f191(f918(f909(x96231),a905))))+~P29(x96231,x96232,f329(f329(f311(f909(x96231)),f329(f329(f329(f93(x96231),x96237),x96235),x96236)),f191(f918(f909(x96231),a905)))) % 166.52/166.36 [9811]~P28(x98113,x98114,x98115,x98117,x98116,x98111)+~P1(f329(f62(x98114),x98112))+E(f329(x98111,x98112),f329(f329(f329(f66(x98113,x98114,x98115),x98116),x98117),x98112)) % 166.52/166.36 [9962]P50(x99621,x99622,x99623,x99624,x99625,f329(f329(x99623,x99626),x99627))+~P50(x99621,x99622,x99623,x99624,f329(f329(f23(f918(x99621,a905)),x99625),f329(f329(f311(x99621),x99626),f191(f918(x99621,a905)))),x99627)+~P1(f329(f329(f331(x99621),x99626),x99625)) % 166.52/166.36 [10222]~P29(x102221,x102222,f329(f329(f311(f909(x102221)),f329(f329(f329(f93(x102221),f95(x102221,x102223,x102224)),x102225),x102227)),f191(f918(f909(x102221),a905))))+P29(x102221,x102222,f329(f329(f311(f909(x102221)),f329(f329(f329(f93(x102221),x102223),f29(x102224,x102225,x102226)),x102227)),f191(f918(f909(x102221),a905))))+~P29(x102221,x102222,f329(f329(f311(f909(x102221)),f329(f329(f329(f93(x102221),f95(x102221,x102223,f329(f74(a905,a905,a906,a324),x102224))),x102226),x102227)),f191(f918(f909(x102221),a905)))) % 166.52/166.36 [10301]P1(f329(f329(x103017,f815(x103014,x103015,x103011,x103016,x103013,x103012,x103017)),f816(x103014,x103015,x103011,x103016,x103013,x103012,x103017)))+~P1(f329(f329(x103017,f329(f261(x103012,x103013),x103016)),f329(f256(x103012,x103013),x103016)))+P1(f329(x103011,f329(f329(f262(x103012,x103013,x103014),x103015),x103016))) % 166.52/166.36 [10311]~P50(x103112,x103113,x103114,x103115,x103111,f329(f329(x103114,x103117),x103116))+P50(x103112,x103113,x103114,x103115,f329(f329(f23(f918(x103112,a905)),x103111),f329(f329(f311(x103112),f504(x103116,x103117,x103111,x103115,x103114,x103113,x103112)),f191(f918(x103112,a905)))),f505(x103116,x103117,x103111,x103115,x103114,x103113,x103112))+E(x103111,f191(f918(x103112,a905))) % 166.52/166.36 [10312]~P50(x103125,x103126,x103121,x103124,x103127,f329(f329(x103121,x103122),x103123))+P50(x103125,x103126,x103121,x103124,f329(f329(f23(f918(x103125,a905)),x103127),f329(f329(f311(x103125),f504(x103123,x103122,x103127,x103124,x103121,x103126,x103125)),f191(f918(x103125,a905)))),f505(x103123,x103122,x103127,x103124,x103121,x103126,x103125))+E(f329(f329(x103121,x103122),x103123),x103124) % 166.52/166.36 [10336]~P1(f329(x103361,f329(f329(x103365,f816(x103364,x103365,x103361,x103366,x103363,x103362,x103367)),f815(x103364,x103365,x103361,x103366,x103363,x103362,x103367))))+~P1(f329(f329(x103367,f329(f261(x103362,x103363),x103366)),f329(f256(x103362,x103363),x103366)))+P1(f329(x103361,f329(f329(f262(x103362,x103363,x103364),x103365),x103366))) % 166.52/166.36 [9643]P1(f329(f329(f239(f918(f917(x96431,x96432),a905)),f329(f329(f291(x96431,x96433,x96432),x96434),x96435)),f329(f329(f291(x96431,x96433,x96432),x96436),x96437)))+~P1(f329(f329(f239(f918(f917(x96433,x96432),a905)),x96435),x96437))+~P1(f329(f329(f239(f918(f917(x96431,x96433),a905)),x96434),x96436)) % 166.52/166.36 [9973]~P1(f329(f329(f331(x99731),x99736),x99735))+P1(f329(f67(x99731,x99732,x99733,x99734,x99735),f329(f329(x99733,x99736),x99737)))+~P1(f329(f67(x99731,x99732,x99733,x99734,f329(f329(f23(f918(x99731,a905)),x99735),f329(f329(f311(x99731),x99736),f191(f918(x99731,a905))))),x99737)) % 166.52/166.36 [10373]~P145(x103731)+~P30(f917(x103732,x103733),x103731,f329(f262(x103732,x103733,x103731),f329(f329(f7(x103732,f918(x103733,x103731),f918(x103733,x103731)),f329(f329(f8(f918(x103731,x103731),f918(f918(x103733,x103731),f918(x103733,x103731)),x103732),f8(x103731,x103731,x103733)),f329(f329(f8(x103731,f918(x103731,x103731),x103732),f83(x103731)),x103734))),x103735)),f329(f329(f259(x103732,x103733),x103736),f329(f16(f918(x103733,a905),x103732),x103737)))+E(f329(f329(f6(x103731,x103731),f33(x103731)),f329(f267(x103731),f329(f329(f8(f918(x103732,a905),a905,x103731),f89(x103732)),f329(f329(f8(f918(x103732,f918(x103733,a905)),f918(x103732,a905),x103731),f329(f8(f918(x103733,a905),a905,x103732),f89(x103733))),f329(f329(f7(x103731,f918(x103732,f918(x103733,a905)),f918(x103732,f918(x103733,a905))),f329(f329(f8(f918(x103732,f918(f918(x103733,a905),f918(x103733,a905))),f918(f918(x103732,f918(x103733,a905)),f918(x103732,f918(x103733,a905))),x103731),f18(x103732,f918(x103733,a905),f918(x103733,a905))),f329(f329(f8(f918(x103732,f918(x103733,f918(a905,a905))),f918(x103732,f918(f918(x103733,a905),f918(x103733,a905))),x103731),f329(f8(f918(x103733,f918(a905,a905)),f918(f918(x103733,a905),f918(x103733,a905)),x103732),f18(x103733,a905,a905))),f329(f329(f8(f918(x103732,f918(x103733,a905)),f918(x103732,f918(x103733,f918(a905,a905))),x103731),f329(f8(f918(x103733,a905),f918(x103733,f918(a905,a905)),x103732),f329(f8(a905,f918(a905,a905),x103733),a327))),f329(f329(f7(x103731,f918(x103732,f918(x103733,x103731)),f918(x103732,f918(x103733,a905))),f329(f329(f8(f918(f918(x103733,x103731),f918(x103733,a905)),f918(f918(x103732,f918(x103733,x103731)),f918(x103732,f918(x103733,a905))),x103731),f8(f918(x103733,x103731),f918(x103733,a905),x103732)),f329(f329(f8(f918(x103731,a905),f918(f918(x103733,x103731),f918(x103733,a905)),x103731),f8(x103731,a905,x103733)),a326))),f329(f329(f7(x103732,f918(x103733,x103731),f918(x103733,x103731)),f329(f329(f8(f918(x103731,x103731),f918(f918(x103733,x103731),f918(x103733,x103731)),x103732),f8(x103731,x103731,x103733)),f329(f329(f8(x103731,f918(x103731,x103731),x103732),f83(x103731)),x103734))),x103735)))))),f329(f329(f7(x103732,f918(x103733,a905),f918(x103733,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x103733,a905),f918(x103733,a905)),x103732),f8(a905,a905,x103733)),f329(f329(f8(a905,f918(a905,a905),x103732),a327),f329(f329(f7(x103732,f918(x103732,a905),a905),f331(x103732)),x103736)))),f329(f329(f7(x103733,f918(x103733,a905),a905),f331(x103733)),x103737))))))),f329(f329(f83(x103731),f329(f329(f6(x103732,x103731),x103734),x103736)),f329(f329(f6(x103733,x103731),x103735),x103737))) % 166.52/166.36 [9647]~P31(x96471,x96473,x96475,x96476,x96478)+~P31(x96473,x96472,x96474,x96478,x96477)+P31(x96471,x96472,f329(f74(x96473,x96472,x96471,x96474),x96475),x96476,x96477) % 166.52/166.36 [9675]P31(x96751,x96752,x96753,x96754,x96755)+~P31(x96756,x96751,x96757,x96758,x96754)+~P31(x96756,x96752,f329(f74(x96751,x96752,x96756,x96753),x96757),x96758,x96755) % 166.52/166.36 [9809]~P1(f329(f329(x98094,x98096),x98098))+~P1(f329(f329(x98095,x98098),x98097))+P1(f329(f329(f258(x98091,x98092,x98093,x98094,x98095),x98096),x98097)) % 166.52/166.36 [9405]~P24(x94058,x94051,x94053,x94055)+~P1(f329(f62(x94058),x94056))+E(f329(f74(x94051,x94051,x94052,f329(x94053,x94054)),f329(f74(x94051,x94051,x94052,f329(x94055,x94056)),x94057)),f329(f74(x94051,x94051,x94052,f329(x94055,x94056)),f329(f74(x94051,x94051,x94052,f329(x94053,x94054)),x94057))) % 166.52/166.36 [9799]~P27(x97997,x97992,x97995,x97998,x97996,x97991)+~P1(f329(f62(x97992),x97994))+E(f329(x97991,f329(f329(f311(x97992),x97993),x97994)),f329(f329(x97995,f329(x97996,x97993)),f329(x97991,x97994))) % 166.52/166.36 [9918]~P30(x99182,x99184,x99186,x99188)+~P30(x99181,x99183,x99185,x99187)+P30(f917(x99181,x99182),f917(x99183,x99184),f263(x99181,x99183,x99182,x99184,x99185,x99186),f329(f329(f259(x99181,x99182),x99187),f329(f16(f918(x99182,a905),x99181),x99188))) % 166.52/166.36 [9590]P1(f329(f329(f331(f917(x95901,x95902)),f329(f329(f257(x95901,x95902),x95903),x95904)),f329(f329(f291(x95901,x95905,x95902),x95906),x95907)))+~P1(f329(f329(f331(f917(x95901,x95905)),f329(f329(f257(x95901,x95905),x95903),x95908)),x95906))+~P1(f329(f329(f331(f917(x95905,x95902)),f329(f329(f257(x95905,x95902),x95908),x95904)),x95907)) % 166.52/166.36 [9780]~P1(f329(f329(f239(f918(f917(x97803,x97802),a905)),x97805),f329(f329(f259(x97803,x97802),x97808),f329(f16(f918(x97802,a905),x97803),x97807))))+~P1(f329(f329(f239(f918(f917(x97801,x97803),a905)),x97804),f329(f329(f259(x97801,x97803),x97806),f329(f16(f918(x97803,a905),x97801),x97808))))+P1(f329(f329(f239(f918(f917(x97801,x97802),a905)),f329(f329(f291(x97801,x97803,x97802),x97804),x97805)),f329(f329(f259(x97801,x97802),x97806),f329(f16(f918(x97802,a905),x97801),x97807)))) % 166.52/166.36 [9833]~E(x98333,x98335)+P1(f329(f329(f331(f917(f917(x98331,x98332),f917(x98331,x98332))),f329(f329(f257(f917(x98331,x98332),f917(x98331,x98332)),f329(f329(f257(x98331,x98332),x98333),x98334)),f329(f329(f257(x98331,x98332),x98335),x98336))),f321(x98331,x98332,x98337,x98338)))+~P1(f329(f329(f331(f917(x98332,x98332)),f329(f329(f257(x98332,x98332),x98334),x98336)),x98338)) % 166.52/166.36 [9938]E(x99381,x99382)+~P1(f329(f329(f331(f917(f917(x99383,x99385),f917(x99383,x99385))),f329(f329(f257(f917(x99383,x99385),f917(x99383,x99385)),f329(f329(f257(x99383,x99385),x99381),x99386)),f329(f329(f257(x99383,x99385),x99382),x99387))),f321(x99383,x99385,x99384,x99388)))+P1(f329(f329(f331(f917(x99383,x99383)),f329(f329(f257(x99383,x99383),x99381),x99382)),x99384)) % 166.52/166.36 [9954]~P1(f329(f329(f331(f917(f917(x99541,x99545),f917(x99541,x99545))),f329(f329(f257(f917(x99541,x99545),f917(x99541,x99545)),f329(f329(f257(x99541,x99545),x99542),x99546)),f329(f329(f257(x99541,x99545),x99543),x99547))),f321(x99541,x99545,x99544,x99548)))+P1(f329(f329(f331(f917(x99541,x99541)),f329(f329(f257(x99541,x99541),x99542),x99543)),x99544))+P1(f329(f329(f331(f917(x99545,x99545)),f329(f329(f257(x99545,x99545),x99546),x99547)),x99548)) % 166.52/166.36 [9867]~P28(x98677,x98675,x98671,x98678,x98672,x98674)+~P1(f329(f62(x98675),x98676))+E(f329(f329(x98671,f329(x98672,x98673)),f329(x98674,f329(f329(f23(f918(x98675,a905)),x98676),f329(f329(f311(x98675),x98673),f191(f918(x98675,a905)))))),f329(x98674,f329(f329(f311(x98675),x98673),x98676))) % 166.52/166.36 [9361]~P1(f329(f329(f329(x93615,x93618),x93616),x93617))+~P1(f329(f329(f331(x93611),x93618),x93614))+P1(f329(f329(f329(f329(f40(x93611,f918(x93612,f918(x93613,a905))),x93614),x93615),x93616),x93617)) % 166.52/166.36 [9574]P1(f329(f329(f329(x95741,x95742),x95743),x95744))+~P1(f329(f329(f331(x95745),x95742),x95746))+~P1(f329(f329(f329(f329(f41(x95745,f918(x95747,f918(x95748,a905))),x95746),x95741),x95743),x95744)) % 166.52/166.36 [9773]~P26(x97733,x97732,x97734,x97738,x97731)+~P1(f329(f62(x97732),x97737))+E(f329(f329(x97731,f329(f329(f18(x97732,x97733,x97733),f329(f329(f8(x97733,f918(x97733,x97733),x97732),x97734),x97735)),x97736)),x97737),f329(f329(x97734,f329(f329(x97731,x97735),x97737)),f329(f329(x97731,x97736),x97737))) % 166.52/166.36 [10036]~E(f329(f312(x100362,x100364,x100366),x100368),x1003610)+~E(f329(f312(x100361,x100363,x100365),x100367),x100369)+E(f329(f312(f917(x100361,x100362),f917(x100363,x100364),f263(x100361,x100363,x100362,x100364,x100365,x100366)),f329(f329(f259(x100361,x100362),x100367),f329(f16(f918(x100362,a905),x100361),x100368))),f329(f329(f259(x100363,x100364),x100369),f329(f16(f918(x100364,a905),x100363),x1003610))) % 166.52/166.36 [4982]~P56(x49821,x49822)+~P57(x49821,x49822)+~P58(x49821,x49822)+P12(x49821,x49822) % 166.52/166.36 [4938]~P112(x49382)+~P18(x49382,x49381)+P18(x49382,f119(x49382,x49381))+E(x49381,f118(x49382)) % 166.52/166.36 [4939]~P112(x49392)+~P18(x49392,x49391)+P18(x49392,f730(x49391,x49392))+E(x49391,f118(x49392)) % 166.52/166.36 [5180]~P10(x51802)+E(f10(x51802,x51801),f39(x51802,x51801))+E(x51801,f191(f918(x51802,a905)))+~P1(f329(f62(x51802),x51801)) % 166.52/166.36 [5181]~P10(x51812)+E(f13(x51812,x51811),f38(x51812,x51811))+E(x51811,f191(f918(x51812,a905)))+~P1(f329(f62(x51812),x51811)) % 166.52/166.36 [5343]~P112(x53432)+~P18(x53432,x53431)+E(x53431,f118(x53432))+E(f329(f329(f154(x53432),f750(x53431,x53432)),f730(x53431,x53432)),x53431) % 166.52/166.36 [6151]~P2(x61512)+E(x61511,f191(f918(x61512,a905)))+P1(f329(f329(f239(x61512),f10(x61512,x61511)),f13(x61512,x61511)))+~P1(f329(f62(x61512),x61511)) % 166.52/166.36 [6163]~P47(x61632)+~P47(x61631)+E(x61631,x61632)+~E(f329(f312(a1,a910,a109),x61631),f329(f312(a1,a910,a109),x61632)) % 166.52/166.36 [9211]~P123(x92111)+~P1(f329(f329(f331(x92111),x92112),f114(x92111)))+P1(f329(f329(f240(x92111),f329(f329(f82(x92111),f329(f329(f82(x92111),f80(x92111)),x92112)),x92112)),f2(x92111)))+~P1(f329(f329(f240(x92111),x92112),f2(x92111))) % 166.52/166.36 [9459]~P123(x94591)+~P1(f329(f329(f331(x94591),x94592),f114(x94591)))+~P1(f329(f329(f240(x94591),f329(f329(f82(x94591),f329(f329(f82(x94591),f80(x94591)),x94592)),x94592)),f2(x94591)))+P1(f329(f329(f240(x94591),x94592),f2(x94591))) % 166.52/166.36 [4997]~P145(x49972)+~P119(x49972)+E(x49971,f2(a910))+E(f329(f329(f249(x49972),f2(x49972)),x49971),f2(x49972)) % 166.52/166.36 [5000]~P145(x50001)+~P119(x50001)+~E(x50002,f2(a910))+E(f329(f329(f249(x50001),f2(x50001)),x50002),f80(x50001)) % 166.52/166.36 [5166]~P143(x51662)+E(x51661,f80(x51662))+E(x51661,f329(f81(x51662),f80(x51662)))+~E(f329(f329(f83(x51662),x51661),x51661),f80(x51662)) % 166.52/166.36 [5424]~P93(x54242)+E(x54241,f2(x54242))+E(f84(x54242,x54241),f329(f81(x54242),f80(x54242)))+P1(f329(f329(f240(x54242),f2(x54242)),x54241)) % 166.52/166.36 [5660]~P93(x56602)+E(f84(x56602,x56601),f80(x56602))+E(x56601,f2(x56602))+~P1(f329(f329(f240(x56602),f2(x56602)),x56601)) % 166.52/166.36 [5669]E(x56691,x56692)+~E(f329(f108(a910),x56691),f329(f108(a910),x56692))+P1(f329(a196,f329(f108(a1),x56692)))+P1(f329(a196,f329(f108(a1),x56691))) % 166.52/166.36 [5720]~P95(x57201)+~E(x57202,f2(x57201))+E(f329(f329(f82(x57201),x57202),x57202),f2(x57201))+~P1(f329(f329(f331(x57201),x57202),f114(x57201))) % 166.52/166.36 [5760]E(x57601,f2(a1))+~E(f329(f329(f37(a1),x57602),x57601),f2(a1))+P1(f329(f329(f240(a1),x57601),x57602))+P1(f329(f329(f240(a1),x57602),x57601)) % 166.52/166.36 [5790]E(x57901,f2(a1))+~E(f329(f329(f37(a1),x57902),x57901),f2(a1))+P1(f329(f329(f239(a1),x57902),f2(a1)))+P1(f329(f329(f240(a1),x57902),x57901)) % 166.52/166.36 [5824]E(x58241,f2(a1))+~E(f329(f329(f37(a1),x58242),x58241),f2(a1))+P1(f329(f329(f239(a1),f2(a1)),x58242))+P1(f329(f329(f240(a1),x58241),x58242)) % 166.52/166.36 [5858]~P95(x58582)+E(x58581,f2(x58582))+~E(f329(f329(f82(x58582),x58581),x58581),f2(x58582))+~P1(f329(f329(f331(x58582),x58581),f114(x58582))) % 166.52/166.36 [5919]E(f329(f108(a910),x59191),f329(f108(a910),x59192))+~E(f329(f108(a1),x59192),f2(a1))+P1(f329(a196,f329(f108(a1),x59192)))+~P1(f329(a196,f329(f108(a1),x59191))) % 166.52/166.36 [5951]~E(f329(f108(a910),x59512),f329(f108(a910),x59511))+E(f329(f108(a1),x59511),f2(a1))+P1(f329(a196,f329(f108(a1),x59511)))+~P1(f329(a196,f329(f108(a1),x59512))) % 166.52/166.36 [5961]~P112(x59612)+E(x59611,f191(f918(x59612,a905)))+~P1(f329(f62(x59612),x59611))+P1(f329(f329(f331(x59612),f14(x59612,x59611)),x59611)) % 166.52/166.36 [5962]~P112(x59622)+E(x59621,f191(f918(x59622,a905)))+~P1(f329(f62(x59622),x59621))+P1(f329(f329(f331(x59622),f15(x59622,x59621)),x59621)) % 166.52/166.36 [6128]~P123(x61281)+~P96(x61281)+P1(f329(f329(f239(x61281),f2(x61281)),f329(f108(x61281),x61282)))+~P1(f329(f329(f239(a1),a85),x61282)) % 166.52/166.36 [6129]~P123(x61291)+~P96(x61291)+P1(f329(f329(f240(x61291),f2(x61291)),f329(f108(x61291),x61292)))+~P1(f329(f329(f240(a1),a85),x61292)) % 166.52/166.36 [6150]~P123(x61501)+~P96(x61501)+E(f329(f77(x61501),f329(f108(x61501),x61502)),f329(f108(x61501),x61502))+P1(f329(f329(f240(x61501),f329(f108(x61501),x61502)),f2(x61501))) % 166.52/166.36 [6187]E(x61871,x61872)+~E(f329(a109,x61871),f329(a109,x61872))+~P1(f329(f329(f239(a1),f2(a1)),x61872))+~P1(f329(f329(f239(a1),f2(a1)),x61871)) % 166.52/166.36 [6381]~P96(x63812)+~P123(x63812)+~P1(f329(f329(f239(x63812),f2(x63812)),f329(f108(x63812),x63811)))+P1(f329(f329(f239(a1),a85),x63811)) % 166.52/166.36 [6382]~P96(x63822)+~P123(x63822)+~P1(f329(f329(f240(x63822),f2(x63822)),f329(f108(x63822),x63821)))+P1(f329(f329(f240(a1),a85),x63821)) % 166.52/166.36 [6387]~P123(x63871)+~P96(x63871)+P1(f329(f329(f239(x63871),f329(f108(x63871),x63872)),f2(x63871)))+~P1(f329(f329(f239(a1),x63872),a85)) % 166.52/166.36 [6388]~P123(x63881)+~P96(x63881)+P1(f329(f329(f240(x63881),f329(f108(x63881),x63882)),f2(x63881)))+~P1(f329(f329(f240(a1),x63882),a85)) % 166.52/166.36 [6706]~P96(x67062)+~P123(x67062)+~P1(f329(f329(f239(x67062),f329(f108(x67062),x67061)),f2(x67062)))+P1(f329(f329(f239(a1),x67061),a85)) % 166.52/166.36 [6707]~P96(x67072)+~P123(x67072)+~P1(f329(f329(f240(x67072),f329(f108(x67072),x67071)),f2(x67072)))+P1(f329(f329(f240(a1),x67071),a85)) % 166.52/166.36 [6797]~P123(x67971)+~P96(x67971)+E(f329(f77(x67971),f329(f108(x67971),x67972)),f329(f81(x67971),f329(f108(x67971),x67972)))+~P1(f329(f329(f240(x67971),f329(f108(x67971),x67972)),f2(x67971))) % 166.52/166.36 [6816]E(f329(f108(a910),x68161),f329(f108(a910),x68162))+~E(f329(f108(a1),x68162),f2(a1))+~P1(f329(f329(f239(a1),f329(f108(a1),x68161)),f2(a1)))+~P1(f329(a196,f329(f108(a1),x68161))) % 166.52/166.36 [7697]~P112(x76972)+E(x76971,f191(f918(x76972,a905)))+~P1(f329(f62(x76972),x76971))+P1(f329(f329(f239(x76972),f11(x76972,f237(x76972),x76971)),f12(x76972,f238(x76972),x76971))) % 166.52/166.36 [8021]~P11(x80211)+~P47(x80212)+P1(f329(f329(f331(a1),x80211),x80212))+~P1(f329(f329(f331(a910),f329(a109,x80211)),f329(f312(a1,a910,a109),x80212))) % 166.52/166.36 [5957]~P120(x59572)+E(x59571,f2(a1))+E(f329(f81(x59572),f329(f107(x59572),f329(f81(a1),x59571))),f329(f107(x59572),x59571))+~P1(f329(f329(f240(a1),x59571),f2(a1))) % 166.52/166.36 [6030]~P95(x60301)+~P96(x60301)+~P35(x60301,f329(f108(x60301),x60302))+P35(x60301,f329(f108(x60301),f329(f329(f82(a1),x60302),x60302))) % 166.52/166.36 [6370]~P78(x63702)+E(x63701,f191(f918(x63702,a905)))+E(f15(x63702,f329(f312(x63702,x63702,f81(x63702)),x63701)),f329(f81(x63702),f14(x63702,x63701)))+~P1(f329(f62(x63702),x63701)) % 166.52/166.36 [6371]~P78(x63712)+E(x63711,f191(f918(x63712,a905)))+E(f14(x63712,f329(f312(x63712,x63712,f81(x63712)),x63711)),f329(f81(x63712),f15(x63712,x63711)))+~P1(f329(f62(x63712),x63711)) % 166.52/166.36 [6404]~P95(x64041)+~P96(x64041)+P35(x64041,f329(f108(x64041),x64042))+~P35(x64041,f329(f108(x64041),f329(f329(f82(a1),x64042),x64042))) % 166.52/166.36 [6494]E(x64941,f2(a1))+E(f329(a52,f51(f329(f81(a1),x64941),f329(f81(a1),x64942))),f47(x64941,x64942))+P1(f329(f329(f239(a1),f2(a1)),x64942))+~P1(f329(f329(f239(a1),f2(a1)),x64941)) % 166.52/166.36 [8816]~P47(x88162)+~P47(x88161)+P1(f329(f329(f240(f918(a910,a905)),f329(f312(a1,a910,a109),x88161)),f329(f312(a1,a910,a109),x88162)))+~P1(f329(f329(f240(f918(a1,a905)),x88161),x88162)) % 166.52/166.36 [9041]~E(f752(x90412,x90411),f753(x90412,x90411))+~P1(f329(f140(x90411),f754(x90412,x90411)))+~P1(f329(f140(f911(x90411)),x90412))+P1(f329(f140(x90411),f329(f145(f911(x90411),f911(x90411),f137(x90411),f118(x90411)),x90412))) % 166.52/166.36 [9130]~P47(x91302)+~P47(x91301)+~P1(f329(f329(f239(f918(a910,a905)),f329(f312(a1,a910,a109),x91301)),f329(f312(a1,a910,a109),x91302)))+P1(f329(f329(f239(f918(a1,a905)),x91301),x91302)) % 166.52/166.36 [9131]~P47(x91312)+~P47(x91311)+~P1(f329(f329(f240(f918(a910,a905)),f329(f312(a1,a910,a109),x91311)),f329(f312(a1,a910,a109),x91312)))+P1(f329(f329(f240(f918(a1,a905)),x91311),x91312)) % 166.52/166.36 [9137]~E(f752(x91372,x91371),f753(x91372,x91371))+~P1(f329(f140(f911(x91371)),x91372))+P1(f329(f140(x91371),f329(f145(f911(x91371),f911(x91371),f137(x91371),f118(x91371)),x91372)))+P1(f329(f329(f331(f911(x91371)),f754(x91372,x91371)),f329(f175(f911(x91371)),x91372))) % 166.52/166.36 [9180]~P1(f329(f140(x91801),f754(x91802,x91801)))+~P1(f329(f140(f911(x91801)),x91802))+P1(f329(f140(x91801),f329(f145(f911(x91801),f911(x91801),f137(x91801),f118(x91801)),x91802)))+P1(f329(f329(f331(f911(x91801)),f753(x91802,x91801)),f329(f175(f911(x91801)),x91802))) % 166.52/166.36 [9181]~P1(f329(f140(x91811),f754(x91812,x91811)))+~P1(f329(f140(f911(x91811)),x91812))+P1(f329(f140(x91811),f329(f145(f911(x91811),f911(x91811),f137(x91811),f118(x91811)),x91812)))+P1(f329(f329(f331(f911(x91811)),f752(x91812,x91811)),f329(f175(f911(x91811)),x91812))) % 166.52/166.36 [9265]~P1(f329(f140(f911(x92651)),x92652))+P1(f329(f140(x92651),f329(f145(f911(x92651),f911(x92651),f137(x92651),f118(x92651)),x92652)))+P1(f329(f329(f331(f911(x92651)),f753(x92652,x92651)),f329(f175(f911(x92651)),x92652)))+P1(f329(f329(f331(f911(x92651)),f754(x92652,x92651)),f329(f175(f911(x92651)),x92652))) % 166.52/166.36 [9266]~P1(f329(f140(f911(x92661)),x92662))+P1(f329(f140(x92661),f329(f145(f911(x92661),f911(x92661),f137(x92661),f118(x92661)),x92662)))+P1(f329(f329(f331(f911(x92661)),f752(x92662,x92661)),f329(f175(f911(x92661)),x92662)))+P1(f329(f329(f331(f911(x92661)),f754(x92662,x92661)),f329(f175(f911(x92661)),x92662))) % 166.52/166.36 [9281]~E(f329(f329(f106(f918(x92811,a905)),f329(f175(x92811),f753(x92812,x92811))),f329(f175(x92811),f752(x92812,x92811))),f191(f918(x92811,a905)))+~P1(f329(f140(x92811),f754(x92812,x92811)))+~P1(f329(f140(f911(x92811)),x92812))+P1(f329(f140(x92811),f329(f145(f911(x92811),f911(x92811),f137(x92811),f118(x92811)),x92812))) % 166.52/166.36 [9344]~E(f329(f329(f106(f918(x93441,a905)),f329(f175(x93441),f753(x93442,x93441))),f329(f175(x93441),f752(x93442,x93441))),f191(f918(x93441,a905)))+~P1(f329(f140(f911(x93441)),x93442))+P1(f329(f140(x93441),f329(f145(f911(x93441),f911(x93441),f137(x93441),f118(x93441)),x93442)))+P1(f329(f329(f331(f911(x93441)),f754(x93442,x93441)),f329(f175(f911(x93441)),x93442))) % 166.52/166.36 [9616]E(x96161,f2(a1))+E(x96162,f2(a1))+E(f329(f329(f88(a1,f917(a1,a1)),f329(f329(a221,x96162),x96161)),f329(f329(f18(a1,a1,f917(a1,a1)),f329(f329(f8(a1,f918(a1,f917(a1,a1)),a1),f257(a1,a1)),f329(f37(a1),x96162))),f329(f37(a1),x96161))),f219(x96162,x96161))+P1(f329(f329(f240(a1),x96161),f2(a1))) % 166.52/166.36 [8357]~P96(x83572)+~P123(x83572)+~P1(f329(f329(f239(x83572),f329(f108(x83572),x83571)),f80(x83572)))+P1(f329(f329(f239(a1),x83571),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))) % 166.52/166.36 [8358]~P96(x83582)+~P123(x83582)+~P1(f329(f329(f240(x83582),f329(f108(x83582),x83581)),f80(x83582)))+P1(f329(f329(f240(a1),x83581),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))) % 166.52/166.36 [8644]~P123(x86441)+~P96(x86441)+P1(f329(f329(f239(x86441),f329(f108(x86441),x86442)),f80(x86441)))+~P1(f329(f329(f239(a1),x86442),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))) % 166.52/166.36 [8645]~P123(x86451)+~P96(x86451)+P1(f329(f329(f240(x86451),f329(f108(x86451),x86452)),f80(x86451)))+~P1(f329(f329(f240(a1),x86452),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))) % 166.52/166.36 [8843]~P96(x88432)+~P123(x88432)+~P1(f329(f329(f239(x88432),f80(x88432)),f329(f108(x88432),x88431)))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x88431)) % 166.52/166.36 [8844]~P96(x88442)+~P123(x88442)+~P1(f329(f329(f240(x88442),f80(x88442)),f329(f108(x88442),x88441)))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x88441)) % 166.52/166.36 [9217]~P123(x92171)+~P96(x92171)+P1(f329(f329(f239(x92171),f80(x92171)),f329(f108(x92171),x92172)))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x92172)) % 166.52/166.36 [9218]~P123(x92181)+~P96(x92181)+P1(f329(f329(f240(x92181),f80(x92181)),f329(f108(x92181),x92182)))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x92182)) % 166.52/166.36 [9746]~P143(x97462)+E(x97461,f80(x97462))+E(x97461,f329(f81(x97462),f80(x97462)))+~E(f329(f329(f249(x97462),x97461),f329(f108(a910),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(x97462)) % 166.52/166.36 [10012]~P73(x100121)+~P96(x100121)+~P1(f329(f329(f240(x100121),f2(x100121)),x100122))+P1(f329(f329(f240(x100121),f2(x100121)),f329(f329(f292(x100121),x100122),f329(f108(x100121),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)))))) % 166.52/166.36 [10066]~P73(x100661)+~P96(x100661)+P1(f329(f329(f240(x100661),f2(x100661)),x100662))+~P1(f329(f329(f240(x100661),f2(x100661)),f329(f329(f292(x100661),x100662),f329(f108(x100661),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)))))) % 166.52/166.36 [10343]~P120(x103432)+E(x103431,f2(a1))+P1(f329(f329(f240(a1),x103431),f2(a1)))+E(f329(f329(f262(a1,a1,x103432),f329(f329(f7(a1,f918(a1,f918(x103432,x103432)),f918(a1,x103432)),f329(f329(f8(f918(f918(x103432,x103432),x103432),f918(f918(a1,f918(x103432,x103432)),f918(a1,x103432)),a1),f8(f918(x103432,x103432),x103432,a1)),f329(f329(f8(x103432,f918(f918(x103432,x103432),x103432),a1),f88(x103432,x103432)),f107(x103432)))),f329(f329(f7(a1,f918(x103432,x103432),f918(x103432,x103432)),f329(f329(f8(f918(x103432,f918(x103432,x103432)),f918(f918(x103432,x103432),f918(x103432,x103432)),a1),f18(x103432,x103432,x103432)),f329(f329(f7(a1,f918(x103432,x103432),f918(x103432,f918(x103432,x103432))),f329(f329(f8(f918(x103432,f918(x103432,x103432)),f918(f918(x103432,x103432),f918(x103432,f918(x103432,x103432))),a1),f8(x103432,f918(x103432,x103432),x103432)),f329(f329(f8(a905,f918(x103432,f918(x103432,x103432)),a1),f99(x103432)),f329(f329(f7(a1,a1,a905),a326),f2(a1))))),f329(f329(f18(x103432,x103432,x103432),f82(x103432)),f5(x103432))))),f329(f329(f7(x103432,x103432,x103432),f329(f329(f8(x103432,f918(x103432,x103432),x103432),f82(x103432)),f329(f329(f18(x103432,x103432,x103432),f82(x103432)),f5(x103432)))),f80(x103432))))),f47(x103431,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(x103432),x103431)) % 166.52/166.36 [5433]~P44(x54331,x54333)+~P59(x54331,x54333)+~P60(x54331,x54332,x54333)+P13(x54331,x54332,x54333) % 166.52/166.36 [5191]~P10(x51913)+~P46(x51913,x51913,x51911)+E(f329(x51911,x51912),x51912)+~E(x51912,f101(x51913,x51911)) % 166.52/166.36 [5192]~P10(x51923)+~P46(x51923,x51923,x51921)+E(f329(x51921,x51922),x51922)+~E(x51922,f100(x51923,x51921)) % 166.52/166.36 [4966]~P95(x49663)+~P96(x49663)+E(x49661,x49662)+~E(f329(f108(x49663),x49661),f329(f108(x49663),x49662)) % 166.52/166.36 [5443]~P57(x54431,x54432)+~P58(x54431,x54432)+P20(x54431,x54432)+~P1(f329(f329(x54432,x54433),x54433)) % 166.52/166.36 [5934]P20(x59342,x59341)+E(f329(x59341,f831(x59341)),f329(x59341,f832(x59341)))+P1(f329(f329(x59341,f831(x59341)),f832(x59341)))+~P1(f329(f329(x59341,x59343),x59343)) % 166.52/166.36 [6138]~P1(f329(x61381,x61382))+~P1(f329(x61381,x61383))+~P1(f329(f329(f239(a910),x61383),f890(x61382,x61381)))+P1(f329(x61381,f2(a910))) % 166.52/166.36 [6207]P20(x62071,x62072)+P1(f329(f329(x62072,f831(x62072)),f831(x62072)))+P1(f329(f329(x62072,f831(x62072)),f832(x62072)))+~P1(f329(f329(x62072,x62073),x62073)) % 166.52/166.36 [6208]P20(x62081,x62082)+P1(f329(f329(x62082,f831(x62082)),f832(x62082)))+P1(f329(f329(x62082,f832(x62082)),f832(x62082)))+~P1(f329(f329(x62082,x62083),x62083)) % 166.52/166.36 [6561]P149(x65612,x65613,x65611)+E(x65611,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f850(x65611,x65613,x65612)))+P1(f329(f329(f240(a1),x65611),f2(a1))) % 166.52/166.36 [6562]P148(x65622,x65623,x65621)+E(x65621,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f854(x65621,x65623,x65622)))+P1(f329(f329(f240(a1),x65621),f2(a1))) % 166.52/166.36 [6685]P148(x66851,x66852,x66853)+~P1(f329(x66851,x66852))+P1(f329(f329(f239(a1),f2(a1)),f854(x66853,x66852,x66851)))+P1(f329(f329(f240(a1),x66853),f2(a1))) % 166.52/166.36 [6712]P149(x67121,x67122,x67123)+P1(f329(f329(f239(a1),f2(a1)),f850(x67123,x67122,x67121)))+~P1(f329(x67121,f2(a1)))+P1(f329(f329(f240(a1),x67123),f2(a1))) % 166.52/166.36 [6740]P149(x67402,x67403,x67401)+E(x67401,f2(a1))+~P1(f329(x67402,f851(x67401,x67403,x67402)))+P1(f329(f329(f240(a1),x67401),f2(a1))) % 166.52/166.36 [6741]P148(x67412,x67413,x67411)+E(x67411,f2(a1))+~P1(f329(x67412,f854(x67411,x67413,x67412)))+P1(f329(f329(f240(a1),x67411),f2(a1))) % 166.52/166.36 [6840]~P112(x68401)+~P10(x68401)+~P1(f329(f329(f240(x68401),x68402),f38(x68401,x68403)))+P1(f329(f329(f240(x68401),x68402),f612(x68403,x68402,x68401))) % 166.52/166.36 [6849]P148(x68491,x68492,x68493)+~P1(f329(x68491,x68492))+~P1(f329(x68491,f854(x68493,x68492,x68491)))+P1(f329(f329(f240(a1),x68493),f2(a1))) % 166.52/166.36 [6880]P149(x68801,x68802,x68803)+~P1(f329(x68801,f851(x68803,x68802,x68801)))+~P1(f329(x68801,f2(a1)))+P1(f329(f329(f240(a1),x68803),f2(a1))) % 166.52/166.36 [7127]P149(x71272,x71273,x71271)+E(x71271,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f850(x71271,x71273,x71272)))+P1(f329(f329(f240(a1),x71271),f849(x71271,x71273,x71272))) % 166.52/166.36 [7128]P148(x71282,x71283,x71281)+E(x71281,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f854(x71281,x71283,x71282)))+P1(f329(f329(f240(a1),x71281),f853(x71281,x71283,x71282))) % 166.52/166.36 [7245]P148(x72451,x72452,x72453)+~P1(f329(x72451,x72452))+P1(f329(f329(f239(a1),f2(a1)),f854(x72453,x72452,x72451)))+P1(f329(f329(f240(a1),x72453),f853(x72453,x72452,x72451))) % 166.52/166.36 [7264]P149(x72641,x72642,x72643)+P1(f329(f329(f239(a1),f2(a1)),f850(x72643,x72642,x72641)))+P1(f329(f329(f240(a1),x72643),f849(x72643,x72642,x72641)))+~P1(f329(x72641,f2(a1))) % 166.52/166.36 [7297]P149(x72972,x72973,x72971)+E(x72971,f2(a1))+~P1(f329(x72972,f851(x72971,x72973,x72972)))+P1(f329(f329(f240(a1),x72971),f849(x72971,x72973,x72972))) % 166.52/166.36 [7298]P148(x72982,x72983,x72981)+E(x72981,f2(a1))+~P1(f329(x72982,f854(x72981,x72983,x72982)))+P1(f329(f329(f240(a1),x72981),f853(x72981,x72983,x72982))) % 166.52/166.36 [7342]P149(x73422,x73423,x73421)+E(x73421,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f850(x73421,x73423,x73422)))+~P1(f329(x73422,f852(x73421,x73423,x73422))) % 166.52/166.36 [7343]P148(x73432,x73433,x73431)+E(x73431,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f854(x73431,x73433,x73432)))+~P1(f329(x73432,f853(x73431,x73433,x73432))) % 166.52/166.36 [7444]P148(x74441,x74442,x74443)+~P1(f329(x74441,x74442))+~P1(f329(x74441,f854(x74443,x74442,x74441)))+P1(f329(f329(f240(a1),x74443),f853(x74443,x74442,x74441))) % 166.52/166.36 [7459]P149(x74591,x74592,x74593)+~P1(f329(x74591,f851(x74593,x74592,x74591)))+P1(f329(f329(f240(a1),x74593),f849(x74593,x74592,x74591)))+~P1(f329(x74591,f2(a1))) % 166.52/166.36 [7464]P148(x74641,x74642,x74643)+~P1(f329(x74641,x74642))+P1(f329(f329(f239(a1),f2(a1)),f854(x74643,x74642,x74641)))+~P1(f329(x74641,f853(x74643,x74642,x74641))) % 166.52/166.36 [7480]P149(x74801,x74802,x74803)+P1(f329(f329(f239(a1),f2(a1)),f850(x74803,x74802,x74801)))+~P1(f329(x74801,f852(x74803,x74802,x74801)))+~P1(f329(x74801,f2(a1))) % 166.52/166.36 [7501]P149(x75012,x75013,x75011)+E(x75011,f2(a1))+~P1(f329(x75012,f851(x75011,x75013,x75012)))+~P1(f329(x75012,f852(x75011,x75013,x75012))) % 166.52/166.36 [7502]P148(x75022,x75023,x75021)+E(x75021,f2(a1))+~P1(f329(x75022,f854(x75021,x75023,x75022)))+~P1(f329(x75022,f853(x75021,x75023,x75022))) % 166.52/166.36 [7595]P148(x75951,x75952,x75953)+~P1(f329(x75951,x75952))+~P1(f329(x75951,f854(x75953,x75952,x75951)))+~P1(f329(x75951,f853(x75953,x75952,x75951))) % 166.52/166.36 [7612]P149(x76121,x76122,x76123)+~P1(f329(x76121,f851(x76123,x76122,x76121)))+~P1(f329(x76121,f852(x76123,x76122,x76121)))+~P1(f329(x76121,f2(a1))) % 166.52/166.36 [7656]P149(x76562,x76563,x76561)+E(x76561,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f850(x76561,x76563,x76562)))+P1(f329(f329(f239(a1),f849(x76561,x76563,x76562)),f2(a1))) % 166.52/166.36 [7657]P148(x76572,x76573,x76571)+E(x76571,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f854(x76571,x76573,x76572)))+P1(f329(f329(f239(a1),f853(x76571,x76573,x76572)),f2(a1))) % 166.52/166.36 [7658]~P109(x76581)+~P1(f329(f329(f331(x76581),x76583),f189(x76581)))+~P1(f329(f329(f331(x76581),x76582),f189(x76581)))+P1(f329(f329(f331(x76581),f329(f329(f82(x76581),x76582),x76583)),f189(x76581))) % 166.52/166.36 [7659]~P120(x76591)+~P1(f329(f329(f331(x76591),x76593),f114(x76591)))+~P1(f329(f329(f331(x76591),x76592),f114(x76591)))+P1(f329(f329(f331(x76591),f329(f329(f82(x76591),x76592),x76593)),f114(x76591))) % 166.52/166.36 [7660]~P120(x76601)+~P1(f329(f329(f331(x76601),x76603),f114(x76601)))+~P1(f329(f329(f331(x76601),x76602),f114(x76601)))+P1(f329(f329(f331(x76601),f329(f329(f23(x76601),x76602),x76603)),f114(x76601))) % 166.52/166.36 [7661]~P109(x76611)+~P1(f329(f329(f331(x76611),x76613),f189(x76611)))+~P1(f329(f329(f331(x76611),x76612),f189(x76611)))+P1(f329(f329(f331(x76611),f329(f329(f83(x76611),x76612),x76613)),f189(x76611))) % 166.52/166.36 [7662]~P120(x76621)+~P1(f329(f329(f331(x76621),x76623),f114(x76621)))+~P1(f329(f329(f331(x76621),x76622),f114(x76621)))+P1(f329(f329(f331(x76621),f329(f329(f83(x76621),x76622),x76623)),f114(x76621))) % 166.52/166.36 [7663]~P90(x76631)+~P1(f329(f329(f239(x76631),x76633),f2(x76631)))+~P1(f329(f329(f239(x76631),x76632),f2(x76631)))+P1(f329(f329(f239(x76631),f329(f329(f82(x76631),x76632),x76633)),f2(x76631))) % 166.52/166.36 [7664]~P90(x76641)+~P1(f329(f329(f239(x76641),x76643),f2(x76641)))+~P1(f329(f329(f240(x76641),x76642),f2(x76641)))+P1(f329(f329(f240(x76641),f329(f329(f82(x76641),x76642),x76643)),f2(x76641))) % 166.52/166.36 [7665]~P90(x76651)+~P1(f329(f329(f239(x76651),x76652),f2(x76651)))+~P1(f329(f329(f240(x76651),x76653),f2(x76651)))+P1(f329(f329(f240(x76651),f329(f329(f82(x76651),x76652),x76653)),f2(x76651))) % 166.52/166.36 [7666]~P90(x76661)+~P1(f329(f329(f240(x76661),x76663),f2(x76661)))+~P1(f329(f329(f240(x76661),x76662),f2(x76661)))+P1(f329(f329(f240(x76661),f329(f329(f82(x76661),x76662),x76663)),f2(x76661))) % 166.52/166.36 [7693]P149(x76933,x76932,x76931)+E(x76931,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x76931),f851(x76931,x76932,x76933))),f850(x76931,x76932,x76933)),x76932)+P1(f329(f329(f240(a1),x76931),f2(a1))) % 166.52/166.36 [7694]P148(x76943,x76942,x76941)+E(x76941,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x76941),f855(x76941,x76942,x76943))),f854(x76941,x76942,x76943)),x76942)+P1(f329(f329(f240(a1),x76941),f2(a1))) % 166.52/166.36 [7776]P148(x77761,x77762,x77763)+~P1(f329(x77761,x77762))+P1(f329(f329(f239(a1),f2(a1)),f854(x77763,x77762,x77761)))+P1(f329(f329(f239(a1),f853(x77763,x77762,x77761)),f2(a1))) % 166.52/166.36 [7806]P149(x78061,x78062,x78063)+P1(f329(f329(f239(a1),f2(a1)),f850(x78063,x78062,x78061)))+~P1(f329(x78061,f2(a1)))+P1(f329(f329(f239(a1),f849(x78063,x78062,x78061)),f2(a1))) % 166.52/166.36 [7815]P148(x78153,x78152,x78151)+~P1(f329(x78153,x78152))+E(f329(f329(f82(a1),f329(f329(f83(a1),x78151),f855(x78151,x78152,x78153))),f854(x78151,x78152,x78153)),x78152)+P1(f329(f329(f240(a1),x78151),f2(a1))) % 166.52/166.36 [7821]P149(x78212,x78213,x78211)+E(x78211,f2(a1))+~P1(f329(x78212,f851(x78211,x78213,x78212)))+P1(f329(f329(f239(a1),f849(x78211,x78213,x78212)),f2(a1))) % 166.52/166.36 [7822]P148(x78222,x78223,x78221)+E(x78221,f2(a1))+~P1(f329(x78222,f854(x78221,x78223,x78222)))+P1(f329(f329(f239(a1),f853(x78221,x78223,x78222)),f2(a1))) % 166.52/166.36 [7827]P149(x78273,x78272,x78271)+E(f329(f329(f82(a1),f329(f329(f83(a1),x78271),f851(x78271,x78272,x78273))),f850(x78271,x78272,x78273)),x78272)+~P1(f329(x78273,f2(a1)))+P1(f329(f329(f240(a1),x78271),f2(a1))) % 166.52/166.36 [7884]P148(x78841,x78842,x78843)+~P1(f329(x78841,x78842))+~P1(f329(x78841,f854(x78843,x78842,x78841)))+P1(f329(f329(f239(a1),f853(x78843,x78842,x78841)),f2(a1))) % 166.52/166.36 [7888]P149(x78881,x78882,x78883)+~P1(f329(x78881,f851(x78883,x78882,x78881)))+~P1(f329(x78881,f2(a1)))+P1(f329(f329(f239(a1),f849(x78883,x78882,x78881)),f2(a1))) % 166.52/166.36 [7962]~P130(x79621)+~P1(f329(f329(f239(x79621),f329(f329(f83(x79621),x79623),x79622)),f2(x79621)))+P1(f329(f329(f239(x79621),x79622),f2(x79621)))+P1(f329(f329(f239(x79621),x79623),f2(x79621))) % 166.52/166.36 [7963]~P73(x79631)+~P1(f329(f329(f239(x79631),f329(f329(f292(x79631),x79633),x79632)),f2(x79631)))+P1(f329(f329(f239(x79631),x79632),f2(x79631)))+P1(f329(f329(f239(x79631),x79633),f2(x79631))) % 166.52/166.36 [7964]~P73(x79641)+~P1(f329(f329(f240(x79641),f329(f329(f292(x79641),x79643),x79642)),f2(x79641)))+P1(f329(f329(f240(x79641),x79642),f2(x79641)))+P1(f329(f329(f240(x79641),x79643),f2(x79641))) % 166.52/166.36 [8078]P149(x80783,x80782,x80781)+E(x80781,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80781),f851(x80781,x80782,x80783))),f850(x80781,x80782,x80783)),x80782)+P1(f329(f329(f240(a1),x80781),f849(x80781,x80782,x80783))) % 166.52/166.36 [8079]P148(x80793,x80792,x80791)+E(x80791,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80791),f855(x80791,x80792,x80793))),f854(x80791,x80792,x80793)),x80792)+P1(f329(f329(f240(a1),x80791),f853(x80791,x80792,x80793))) % 166.52/166.36 [8091]P149(x80913,x80912,x80911)+E(x80911,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80911),f852(x80911,x80912,x80913))),f849(x80911,x80912,x80913)),x80912)+P1(f329(f329(f239(a1),f2(a1)),f850(x80911,x80912,x80913))) % 166.52/166.36 [8092]P148(x80923,x80922,x80921)+E(x80921,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80921),f857(x80921,x80922,x80923))),f853(x80921,x80922,x80923)),x80922)+P1(f329(f329(f239(a1),f2(a1)),f854(x80921,x80922,x80923))) % 166.52/166.36 [8139]P148(x81393,x81392,x81391)+~P1(f329(x81393,x81392))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81391),f855(x81391,x81392,x81393))),f854(x81391,x81392,x81393)),x81392)+P1(f329(f329(f240(a1),x81391),f853(x81391,x81392,x81393))) % 166.52/166.36 [8151]P149(x81513,x81512,x81511)+E(f329(f329(f82(a1),f329(f329(f83(a1),x81511),f851(x81511,x81512,x81513))),f850(x81511,x81512,x81513)),x81512)+P1(f329(f329(f240(a1),x81511),f849(x81511,x81512,x81513)))+~P1(f329(x81513,f2(a1))) % 166.52/166.36 [8157]P148(x81573,x81572,x81571)+~P1(f329(x81573,x81572))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81571),f857(x81571,x81572,x81573))),f853(x81571,x81572,x81573)),x81572)+P1(f329(f329(f239(a1),f2(a1)),f854(x81571,x81572,x81573))) % 166.52/166.36 [8165]P149(x81653,x81652,x81651)+E(f329(f329(f82(a1),f329(f329(f83(a1),x81651),f852(x81651,x81652,x81653))),f849(x81651,x81652,x81653)),x81652)+P1(f329(f329(f239(a1),f2(a1)),f850(x81651,x81652,x81653)))+~P1(f329(x81653,f2(a1))) % 166.52/166.36 [8176]P149(x81763,x81762,x81761)+E(x81761,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81761),f851(x81761,x81762,x81763))),f850(x81761,x81762,x81763)),x81762)+~P1(f329(x81763,f852(x81761,x81762,x81763))) % 166.52/166.36 [8177]P148(x81773,x81772,x81771)+E(x81771,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81771),f855(x81771,x81772,x81773))),f854(x81771,x81772,x81773)),x81772)+~P1(f329(x81773,f853(x81771,x81772,x81773))) % 166.52/166.36 [8178]P149(x81783,x81782,x81781)+E(x81781,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81781),f852(x81781,x81782,x81783))),f849(x81781,x81782,x81783)),x81782)+~P1(f329(x81783,f851(x81781,x81782,x81783))) % 166.52/166.36 [8179]P148(x81793,x81792,x81791)+E(x81791,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81791),f857(x81791,x81792,x81793))),f853(x81791,x81792,x81793)),x81792)+~P1(f329(x81793,f854(x81791,x81792,x81793))) % 166.52/166.36 [8241]P148(x82413,x82412,x82411)+~P1(f329(x82413,x82412))+E(f329(f329(f82(a1),f329(f329(f83(a1),x82411),f855(x82411,x82412,x82413))),f854(x82411,x82412,x82413)),x82412)+~P1(f329(x82413,f853(x82411,x82412,x82413))) % 166.52/166.36 [8242]P148(x82423,x82422,x82421)+~P1(f329(x82423,x82422))+E(f329(f329(f82(a1),f329(f329(f83(a1),x82421),f857(x82421,x82422,x82423))),f853(x82421,x82422,x82423)),x82422)+~P1(f329(x82423,f854(x82421,x82422,x82423))) % 166.52/166.36 [8252]P149(x82523,x82522,x82521)+E(f329(f329(f82(a1),f329(f329(f83(a1),x82521),f851(x82521,x82522,x82523))),f850(x82521,x82522,x82523)),x82522)+~P1(f329(x82523,f852(x82521,x82522,x82523)))+~P1(f329(x82523,f2(a1))) % 166.52/166.36 [8253]P149(x82533,x82532,x82531)+E(f329(f329(f82(a1),f329(f329(f83(a1),x82531),f852(x82531,x82532,x82533))),f849(x82531,x82532,x82533)),x82532)+~P1(f329(x82533,f851(x82531,x82532,x82533)))+~P1(f329(x82533,f2(a1))) % 166.52/166.36 [8350]P149(x83503,x83502,x83501)+E(x83501,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83501),f851(x83501,x83502,x83503))),f850(x83501,x83502,x83503)),x83502)+P1(f329(f329(f239(a1),f849(x83501,x83502,x83503)),f2(a1))) % 166.52/166.36 [8351]P148(x83513,x83512,x83511)+E(x83511,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83511),f855(x83511,x83512,x83513))),f854(x83511,x83512,x83513)),x83512)+P1(f329(f329(f239(a1),f853(x83511,x83512,x83513)),f2(a1))) % 166.52/166.36 [8390]P148(x83903,x83902,x83901)+~P1(f329(x83903,x83902))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83901),f855(x83901,x83902,x83903))),f854(x83901,x83902,x83903)),x83902)+P1(f329(f329(f239(a1),f853(x83901,x83902,x83903)),f2(a1))) % 166.52/166.36 [8395]P149(x83953,x83952,x83951)+E(f329(f329(f82(a1),f329(f329(f83(a1),x83951),f851(x83951,x83952,x83953))),f850(x83951,x83952,x83953)),x83952)+~P1(f329(x83953,f2(a1)))+P1(f329(f329(f239(a1),f849(x83951,x83952,x83953)),f2(a1))) % 166.52/166.36 [8529]P149(x85293,x85292,x85291)+E(x85291,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x85291),f852(x85291,x85292,x85293))),f849(x85291,x85292,x85293)),x85292)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85291),f851(x85291,x85292,x85293))),f850(x85291,x85292,x85293)),x85292) % 166.52/166.36 [8530]P148(x85303,x85302,x85301)+E(x85301,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x85301),f857(x85301,x85302,x85303))),f853(x85301,x85302,x85303)),x85302)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85301),f855(x85301,x85302,x85303))),f854(x85301,x85302,x85303)),x85302) % 166.52/166.36 [8553]P148(x85533,x85532,x85531)+~P1(f329(x85533,x85532))+E(f329(f329(f82(a1),f329(f329(f83(a1),x85531),f857(x85531,x85532,x85533))),f853(x85531,x85532,x85533)),x85532)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85531),f855(x85531,x85532,x85533))),f854(x85531,x85532,x85533)),x85532) % 166.52/166.36 [8565]P149(x85653,x85652,x85651)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85651),f852(x85651,x85652,x85653))),f849(x85651,x85652,x85653)),x85652)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85651),f851(x85651,x85652,x85653))),f850(x85651,x85652,x85653)),x85652)+~P1(f329(x85653,f2(a1))) % 166.52/166.36 [9226]~P130(x92261)+~E(x92263,f2(x92261))+~E(x92262,f2(x92261))+P1(f329(f329(f239(x92261),f329(f329(f82(x92261),f329(f329(f83(x92261),x92262),x92262)),f329(f329(f83(x92261),x92263),x92263))),f2(x92261))) % 166.52/166.36 [10281]~P123(x102811)+~E(x102813,f2(x102811))+~E(x102812,f2(x102811))+P1(f329(f329(f239(x102811),f329(f329(f82(x102811),f329(f329(f249(x102811),x102812),f329(f108(a910),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(x102811),x102813),f329(f108(a910),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(x102811))) % 166.52/166.36 [4914]~E(x49143,x49141)+~P126(x49142)+E(x49141,f2(x49142))+E(f329(f329(f292(x49142),x49143),x49141),f80(x49142)) % 166.52/166.36 [4967]~P3(x49671)+~E(x49673,f191(x49671))+~E(x49672,f191(x49671))+E(f329(f329(f115(x49671),x49672),x49673),f191(x49671)) % 166.52/166.36 [4968]~P102(x49681)+~E(x49683,f247(x49681))+~E(x49682,f247(x49681))+E(f329(f329(f106(x49681),x49682),x49683),f247(x49681)) % 166.52/166.36 [5062]~P126(x50623)+E(x50621,x50622)+E(x50622,f2(x50623))+~E(f329(f329(f292(x50623),x50621),x50622),f80(x50623)) % 166.52/166.36 [5080]~P131(x50802)+E(x50801,f2(x50802))+E(x50803,f2(x50802))+~E(f329(f329(f83(x50802),x50803),x50801),f2(x50802)) % 166.52/166.36 [5081]~P142(x50812)+E(x50811,f2(x50812))+E(x50813,f2(x50812))+~E(f329(f329(f83(x50812),x50813),x50811),f2(x50812)) % 166.52/166.36 [5462]~P125(x54623)+E(x54621,x54622)+E(x54621,f329(f81(x54623),x54622))+~E(f329(f329(f83(x54623),x54621),x54621),f329(f329(f83(x54623),x54622),x54622)) % 166.52/166.36 [5500]~P98(x55001)+E(f329(f81(x55001),x55002),x55003)+~E(f329(f329(f115(x55001),x55002),x55003),f247(x55001))+~E(f329(f329(f106(x55001),x55002),x55003),f191(x55001)) % 166.52/166.36 [5577]~P123(x55773)+E(x55771,x55772)+P1(f329(f329(f240(x55773),x55772),x55771))+P1(f329(f329(f240(x55773),x55771),x55772)) % 166.52/166.36 [5578]~P112(x55783)+E(x55781,x55782)+P1(f329(f329(f240(x55783),x55782),x55781))+P1(f329(f329(f240(x55783),x55781),x55782)) % 166.52/166.36 [5579]~E(x55792,x55793)+~P112(x55791)+P1(f329(f329(f240(x55791),x55792),x55793))+P1(f329(f329(f239(x55791),x55792),x55793)) % 166.52/166.36 [5840]~P114(x58403)+E(x58401,x58402)+~P1(f329(f329(f239(x58403),x58402),x58401))+P1(f329(f329(f240(x58403),x58402),x58401)) % 166.52/166.36 [5842]~P112(x58423)+E(x58421,x58422)+~P1(f329(f329(f239(x58423),x58421),x58422))+P1(f329(f329(f240(x58423),x58421),x58422)) % 166.52/166.36 [5848]~P114(x58483)+E(x58481,x58482)+~P1(f329(f329(f239(x58483),x58481),x58482))+P1(f329(f329(f240(x58483),x58481),x58482)) % 166.52/166.36 [5954]P148(x59541,x59542,x59543)+~P1(f329(x59541,x59542))+P1(f329(f329(f240(a1),x59543),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x59543)) % 166.52/166.36 [6003]P149(x60031,x60032,x60033)+~P1(f329(x60031,f2(a1)))+P1(f329(f329(f240(a1),x60033),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x60033)) % 166.52/166.36 [6008]~P2(x60081)+E(f329(f329(f115(x60081),x60082),f10(x60081,x60083)),x60082)+~P1(f329(f62(x60081),x60083))+~P1(f329(f329(f331(x60081),x60082),x60083)) % 166.52/166.36 [6009]~P2(x60091)+E(f329(f329(f106(x60091),x60092),f13(x60091,x60093)),x60092)+~P1(f329(f62(x60091),x60093))+~P1(f329(f329(f331(x60091),x60092),x60093)) % 166.52/166.36 [6045]~P2(x60451)+E(f329(f329(f115(x60451),x60452),f13(x60451,x60453)),f13(x60451,x60453))+~P1(f329(f62(x60451),x60453))+~P1(f329(f329(f331(x60451),x60452),x60453)) % 166.52/166.36 [6046]~P2(x60461)+E(f329(f329(f106(x60461),x60462),f10(x60461,x60463)),f10(x60461,x60463))+~P1(f329(f62(x60461),x60463))+~P1(f329(f329(f331(x60461),x60462),x60463)) % 166.52/166.36 [6047]~P112(x60471)+E(f329(f329(f237(x60471),x60472),f15(x60471,x60473)),f15(x60471,x60473))+~P1(f329(f62(x60471),x60473))+~P1(f329(f329(f331(x60471),x60472),x60473)) % 166.52/166.36 [6048]~P112(x60481)+E(f329(f329(f238(x60481),x60482),f14(x60481,x60483)),f14(x60481,x60483))+~P1(f329(f62(x60481),x60483))+~P1(f329(f329(f331(x60481),x60482),x60483)) % 166.52/166.36 [6089]E(x60891,x60892)+~P114(x60893)+~P1(f329(f329(f239(x60893),x60892),x60891))+~P1(f329(f329(f239(x60893),x60891),x60892)) % 166.52/166.36 [6235]~P111(x62351)+P1(f329(f329(f240(x62351),x62353),x62352))+~P1(f329(f329(f239(x62351),x62353),x62352))+P1(f329(f329(f239(x62351),x62352),x62353)) % 166.52/166.36 [6261]~P112(x62611)+~P1(f329(f62(x62611),x62613))+P1(f329(f329(f239(x62611),x62612),f14(x62611,x62613)))+~P1(f329(f329(f331(x62611),x62612),x62613)) % 166.52/166.36 [6306]~P112(x63061)+E(f329(f329(f237(x63061),x63062),f12(x63061,f238(x63061),x63063)),x63062)+~P1(f329(f62(x63061),x63063))+~P1(f329(f329(f331(x63061),x63062),x63063)) % 166.52/166.36 [6307]~P112(x63071)+E(f329(f329(f238(x63071),x63072),f11(x63071,f237(x63071),x63073)),x63072)+~P1(f329(f62(x63071),x63073))+~P1(f329(f329(f331(x63071),x63072),x63073)) % 166.52/166.36 [6446]E(x64461,x64462)+~E(f329(f329(f23(a910),x64461),x64463),f329(f329(f23(a910),x64462),x64463))+~P1(f329(f329(f239(a910),x64463),x64461))+~P1(f329(f329(f239(a910),x64463),x64462)) % 166.52/166.36 [6473]~P112(x64731)+~P1(f329(f62(x64731),x64732))+~P1(f329(f329(f331(x64731),x64733),x64732))+P1(f329(f329(f239(x64731),f15(x64731,x64732)),x64733)) % 166.52/166.36 [6539]P149(x65392,x65393,x65391)+E(x65391,f2(a1))+P1(f329(f329(f240(a1),x65391),f849(x65391,x65393,x65392)))+P1(f329(f329(f240(a1),f2(a1)),x65391)) % 166.52/166.36 [6540]P148(x65402,x65403,x65401)+E(x65401,f2(a1))+P1(f329(f329(f240(a1),x65401),f853(x65401,x65403,x65402)))+P1(f329(f329(f240(a1),f2(a1)),x65401)) % 166.52/166.36 [6541]~P112(x65411)+E(f329(f329(f237(x65411),x65412),f11(x65411,f237(x65411),x65413)),f11(x65411,f237(x65411),x65413))+~P1(f329(f62(x65411),x65413))+~P1(f329(f329(f331(x65411),x65412),x65413)) % 166.52/166.36 [6542]~P112(x65421)+E(f329(f329(f238(x65421),x65422),f12(x65421,f238(x65421),x65423)),f12(x65421,f238(x65421),x65423))+~P1(f329(f62(x65421),x65423))+~P1(f329(f329(f331(x65421),x65422),x65423)) % 166.52/166.36 [6548]~P1(f329(x65481,x65482))+P1(f329(x65481,f493(x65482,x65481,x65483)))+P1(f329(x65481,f2(a910)))+~P1(f329(f329(f240(a910),x65482),x65483)) % 166.52/166.36 [6603]~P1(f329(x66031,x66032))+~P1(f329(f62(x66033),x66032))+P1(f329(x66031,f858(x66031,x66032,x66033)))+P1(f329(x66031,f191(f918(x66033,a905)))) % 166.52/166.36 [6618]~P123(x66181)+~P96(x66181)+P1(f329(f329(f239(x66181),f329(f108(x66181),x66182)),f329(f108(x66181),x66183)))+~P1(f329(f329(f239(a1),x66182),x66183)) % 166.52/166.36 [6619]~P123(x66191)+~P96(x66191)+P1(f329(f329(f240(x66191),f329(f108(x66191),x66192)),f329(f108(x66191),x66193)))+~P1(f329(f329(f240(a1),x66192),x66193)) % 166.52/166.36 [6622]~P1(f329(x66221,x66223))+~P1(f329(f62(x66222),x66223))+P1(f329(f62(x66222),f858(x66221,x66223,x66222)))+P1(f329(x66221,f191(f918(x66222,a905)))) % 166.52/166.36 [6655]P148(x66551,x66552,x66553)+~P1(f329(x66551,x66552))+P1(f329(f329(f240(a1),x66553),f853(x66553,x66552,x66551)))+P1(f329(f329(f240(a1),f2(a1)),x66553)) % 166.52/166.36 [6692]P149(x66921,x66922,x66923)+P1(f329(f329(f240(a1),x66923),f849(x66923,x66922,x66921)))+~P1(f329(x66921,f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x66923)) % 166.52/166.36 [6723]~P113(x67231)+~P97(x67231)+E(f329(f329(f237(x67231),f329(f108(x67231),x67232)),f329(f108(x67231),x67233)),f329(f108(x67231),x67233))+P1(f329(f329(f239(x67231),f329(f108(x67231),x67232)),f329(f108(x67231),x67233))) % 166.52/166.36 [6724]~P113(x67241)+~P97(x67241)+E(f329(f329(f238(x67241),f329(f108(x67241),x67242)),f329(f108(x67241),x67243)),f329(f108(x67241),x67242))+P1(f329(f329(f239(x67241),f329(f108(x67241),x67242)),f329(f108(x67241),x67243))) % 166.52/166.36 [6781]P149(x67812,x67813,x67811)+E(x67811,f2(a1))+~P1(f329(x67812,f852(x67811,x67813,x67812)))+P1(f329(f329(f240(a1),f2(a1)),x67811)) % 166.52/166.36 [6782]P148(x67822,x67823,x67821)+E(x67821,f2(a1))+~P1(f329(x67822,f853(x67821,x67823,x67822)))+P1(f329(f329(f240(a1),f2(a1)),x67821)) % 166.52/166.36 [6786]P1(f329(x67861,x67862))+~P1(f329(f62(x67863),x67862))+P1(f329(x67861,f783(x67861,x67862,x67863)))+~P1(f329(x67861,f191(f918(x67863,a905)))) % 166.52/166.36 [6807]P1(f329(x68071,x68072))+P1(f329(f62(x68073),f783(x68071,x68072,x68073)))+~P1(f329(f62(x68073),x68072))+~P1(f329(x68071,f191(f918(x68073,a905)))) % 166.52/166.36 [6869]P148(x68691,x68692,x68693)+~P1(f329(x68691,x68692))+~P1(f329(x68691,f853(x68693,x68692,x68691)))+P1(f329(f329(f240(a1),f2(a1)),x68693)) % 166.52/166.36 [6899]P149(x68991,x68992,x68993)+~P1(f329(x68991,f852(x68993,x68992,x68991)))+~P1(f329(x68991,f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x68993)) % 166.52/166.36 [7003]~P96(x70033)+~P123(x70033)+~P1(f329(f329(f239(x70033),f329(f108(x70033),x70031)),f329(f108(x70033),x70032)))+P1(f329(f329(f239(a1),x70031),x70032)) % 166.52/166.36 [7004]~P96(x70043)+~P123(x70043)+~P1(f329(f329(f240(x70043),f329(f108(x70043),x70041)),f329(f108(x70043),x70042)))+P1(f329(f329(f240(a1),x70041),x70042)) % 166.52/166.36 [7034]~P112(x70341)+~P18(x70341,x70343)+P18(x70341,f329(f329(f154(x70341),x70342),x70343))+~P1(f329(f329(f239(x70341),x70342),f733(x70343,x70342,x70341))) % 166.52/166.36 [7035]~P112(x70351)+~P18(x70351,x70353)+P18(x70351,f329(f329(f154(x70351),x70352),x70353))+~P1(f329(f329(f239(x70351),x70352),f735(x70353,x70352,x70351))) % 166.52/166.36 [7036]~P112(x70361)+~P18(x70361,x70363)+P18(x70361,f329(f329(f154(x70361),x70362),x70363))+~P1(f329(f329(f239(x70361),x70362),f774(x70362,x70363,x70361))) % 166.52/166.36 [7119]P149(x71192,x71193,x71191)+E(x71191,f2(a1))+P1(f329(f329(f240(a1),x71191),f2(a1)))+P1(f329(f329(f240(a1),f850(x71191,x71193,x71192)),x71191)) % 166.52/166.36 [7120]P148(x71202,x71203,x71201)+E(x71201,f2(a1))+P1(f329(f329(f240(a1),x71201),f2(a1)))+P1(f329(f329(f240(a1),f854(x71201,x71203,x71202)),x71201)) % 166.52/166.36 [7156]P149(x71562,x71563,x71561)+E(x71561,f2(a1))+P1(f329(f329(f239(a1),f849(x71561,x71563,x71562)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x71561)) % 166.52/166.36 [7157]P148(x71572,x71573,x71571)+E(x71571,f2(a1))+P1(f329(f329(f239(a1),f853(x71571,x71573,x71572)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x71571)) % 166.52/166.36 [7182]~P112(x71821)+~P18(x71821,x71823)+E(f329(f329(f151(x71821,x71821,f5(x71821)),x71822),f173(x71821,x71822,x71823)),x71823)+~P1(f329(f329(f331(x71821),x71822),f329(f175(x71821),x71823))) % 166.52/166.36 [7228]P148(x72281,x72282,x72283)+~P1(f329(x72281,x72282))+P1(f329(f329(f240(a1),x72283),f2(a1)))+P1(f329(f329(f240(a1),f854(x72283,x72282,x72281)),x72283)) % 166.52/166.36 [7234]~P113(x72341)+~P97(x72341)+E(f329(f329(f237(x72341),f329(f108(x72341),x72342)),f329(f108(x72341),x72343)),f329(f108(x72341),x72342))+~P1(f329(f329(f239(x72341),f329(f108(x72341),x72342)),f329(f108(x72341),x72343))) % 166.52/166.36 [7235]~P113(x72351)+~P97(x72351)+E(f329(f329(f238(x72351),f329(f108(x72351),x72352)),f329(f108(x72351),x72353)),f329(f108(x72351),x72353))+~P1(f329(f329(f239(x72351),f329(f108(x72351),x72352)),f329(f108(x72351),x72353))) % 166.52/166.36 [7249]P149(x72491,x72492,x72493)+~P1(f329(x72491,f2(a1)))+P1(f329(f329(f240(a1),x72493),f2(a1)))+P1(f329(f329(f240(a1),f850(x72493,x72492,x72491)),x72493)) % 166.52/166.36 [7257]P148(x72571,x72572,x72573)+~P1(f329(x72571,x72572))+P1(f329(f329(f239(a1),f853(x72573,x72572,x72571)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x72573)) % 166.52/166.36 [7281]P149(x72811,x72812,x72813)+~P1(f329(x72811,f2(a1)))+P1(f329(f329(f239(a1),f849(x72813,x72812,x72811)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x72813)) % 166.52/166.36 [7309]~P1(f329(x73091,x73092))+P1(f329(x73091,f2(a910)))+~P1(f329(f329(f240(a910),x73092),x73093))+P1(f329(f329(f240(a910),f493(x73092,x73091,x73093)),x73093)) % 166.52/166.36 [7326]~P112(x73261)+~P18(x73261,x73263)+P18(x73261,f329(f329(f154(x73261),x73262),x73263))+P1(f329(f329(f331(x73261),f733(x73263,x73262,x73261)),f329(f175(x73261),x73263))) % 166.52/166.36 [7327]~P112(x73271)+~P18(x73271,x73273)+P18(x73271,f329(f329(f154(x73271),x73272),x73273))+P1(f329(f329(f331(x73271),f735(x73273,x73272,x73271)),f329(f175(x73271),x73273))) % 166.52/166.36 [7328]~P112(x73281)+~P18(x73281,x73283)+P18(x73281,f329(f329(f154(x73281),x73282),x73283))+P1(f329(f329(f331(x73281),f774(x73282,x73283,x73281)),f329(f175(x73281),x73283))) % 166.52/166.36 [7448]~P112(x74481)+~P10(x74481)+~P1(f329(f329(f240(x74481),x74483),f38(x74481,x74482)))+P1(f329(f329(f331(x74481),f612(x74482,x74483,x74481)),x74482)) % 166.52/166.36 [7610]~P112(x76101)+~P10(x76101)+~P1(f329(f329(f240(x76101),f39(x76101,x76103)),x76102))+P1(f329(f329(f331(x76101),f636(x76102,x76103,x76101)),x76103)) % 166.52/166.36 [7611]~P112(x76111)+~P10(x76111)+~P1(f329(f329(f240(x76111),f39(x76111,x76113)),x76112))+P1(f329(f329(f240(x76111),f636(x76112,x76113,x76111)),x76112)) % 166.52/166.36 [7624]P149(x76242,x76243,x76241)+E(x76241,f2(a1))+P1(f329(f329(f240(a1),x76241),f849(x76241,x76243,x76242)))+P1(f329(f329(f240(a1),f850(x76241,x76243,x76242)),x76241)) % 166.52/166.36 [7625]P148(x76252,x76253,x76251)+E(x76251,f2(a1))+P1(f329(f329(f240(a1),x76251),f853(x76251,x76253,x76252)))+P1(f329(f329(f240(a1),f854(x76251,x76253,x76252)),x76251)) % 166.52/166.36 [7714]P149(x77143,x77142,x77141)+E(x77141,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x77141),f852(x77141,x77142,x77143))),f849(x77141,x77142,x77143)),x77142)+P1(f329(f329(f240(a1),f2(a1)),x77141)) % 166.52/166.36 [7715]P148(x77153,x77152,x77151)+E(x77151,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x77151),f857(x77151,x77152,x77153))),f853(x77151,x77152,x77153)),x77152)+P1(f329(f329(f240(a1),f2(a1)),x77151)) % 166.52/166.36 [7717]~P130(x77171)+~P1(f329(f329(f239(x77171),x77173),f2(x77171)))+P1(f329(f329(f239(x77171),f329(f329(f83(x77171),x77172),x77173)),f2(x77171)))+~P1(f329(f329(f239(x77171),f2(x77171)),x77172)) % 166.52/166.36 [7718]~P130(x77181)+~P1(f329(f329(f239(x77181),x77182),f2(x77181)))+P1(f329(f329(f239(x77181),f329(f329(f83(x77181),x77182),x77183)),f2(x77181)))+~P1(f329(f329(f239(x77181),f2(x77181)),x77183)) % 166.52/166.36 [7720]~P137(x77201)+~P1(f329(f329(f239(x77201),x77203),f2(x77201)))+P1(f329(f329(f239(x77201),f329(f329(f83(x77201),x77202),x77203)),f2(x77201)))+~P1(f329(f329(f239(x77201),f2(x77201)),x77202)) % 166.52/166.36 [7722]~P137(x77221)+~P1(f329(f329(f239(x77221),x77222),f2(x77221)))+P1(f329(f329(f239(x77221),f329(f329(f83(x77221),x77222),x77223)),f2(x77221)))+~P1(f329(f329(f239(x77221),f2(x77221)),x77223)) % 166.52/166.36 [7723]~P74(x77231)+~P1(f329(f329(f239(x77231),x77232),f2(x77231)))+P1(f329(f329(f239(x77231),f329(f329(f292(x77231),x77232),x77233)),f2(x77231)))+~P1(f329(f329(f240(x77231),f2(x77231)),x77233)) % 166.52/166.36 [7724]~P74(x77241)+~P1(f329(f329(f240(x77241),x77243),f2(x77241)))+P1(f329(f329(f239(x77241),f329(f329(f292(x77241),x77242),x77243)),f2(x77241)))+~P1(f329(f329(f239(x77241),f2(x77241)),x77242)) % 166.52/166.36 [7725]~P73(x77251)+~P1(f329(f329(f239(x77251),x77253),f2(x77251)))+P1(f329(f329(f239(x77251),f329(f329(f292(x77251),x77252),x77253)),f2(x77251)))+~P1(f329(f329(f239(x77251),f2(x77251)),x77252)) % 166.52/166.36 [7726]~P73(x77261)+~P1(f329(f329(f239(x77261),x77262),f2(x77261)))+P1(f329(f329(f239(x77261),f329(f329(f292(x77261),x77262),x77263)),f2(x77261)))+~P1(f329(f329(f239(x77261),f2(x77261)),x77263)) % 166.52/166.36 [7728]~P133(x77281)+~P1(f329(f329(f240(x77281),x77283),f2(x77281)))+P1(f329(f329(f240(x77281),f329(f329(f83(x77281),x77282),x77283)),f2(x77281)))+~P1(f329(f329(f240(x77281),f2(x77281)),x77282)) % 166.52/166.36 [7729]~P133(x77291)+~P1(f329(f329(f240(x77291),x77292),f2(x77291)))+P1(f329(f329(f240(x77291),f329(f329(f83(x77291),x77292),x77293)),f2(x77291)))+~P1(f329(f329(f240(x77291),f2(x77291)),x77293)) % 166.52/166.36 [7730]~P74(x77301)+~P1(f329(f329(f240(x77301),x77303),f2(x77301)))+P1(f329(f329(f240(x77301),f329(f329(f292(x77301),x77302),x77303)),f2(x77301)))+~P1(f329(f329(f240(x77301),f2(x77301)),x77302)) % 166.52/166.36 [7731]~P74(x77311)+~P1(f329(f329(f240(x77311),x77312),f2(x77311)))+P1(f329(f329(f240(x77311),f329(f329(f292(x77311),x77312),x77313)),f2(x77311)))+~P1(f329(f329(f240(x77311),f2(x77311)),x77313)) % 166.52/166.36 [7732]~P73(x77321)+~P1(f329(f329(f240(x77321),x77323),f2(x77321)))+P1(f329(f329(f240(x77321),f329(f329(f292(x77321),x77322),x77323)),f2(x77321)))+~P1(f329(f329(f240(x77321),f2(x77321)),x77322)) % 166.52/166.36 [7733]~P73(x77331)+~P1(f329(f329(f240(x77331),x77332),f2(x77331)))+P1(f329(f329(f240(x77331),f329(f329(f292(x77331),x77332),x77333)),f2(x77331)))+~P1(f329(f329(f240(x77331),f2(x77331)),x77333)) % 166.52/166.36 [7749]P148(x77491,x77492,x77493)+~P1(f329(x77491,x77492))+P1(f329(f329(f240(a1),x77493),f853(x77493,x77492,x77491)))+P1(f329(f329(f240(a1),f854(x77493,x77492,x77491)),x77493)) % 166.52/166.36 [7762]P149(x77621,x77622,x77623)+P1(f329(f329(f240(a1),x77623),f849(x77623,x77622,x77621)))+~P1(f329(x77621,f2(a1)))+P1(f329(f329(f240(a1),f850(x77623,x77622,x77621)),x77623)) % 166.52/166.36 [7813]P149(x78132,x78133,x78131)+E(x78131,f2(a1))+~P1(f329(x78132,f852(x78131,x78133,x78132)))+P1(f329(f329(f240(a1),f850(x78131,x78133,x78132)),x78131)) % 166.52/166.36 [7814]P148(x78142,x78143,x78141)+E(x78141,f2(a1))+~P1(f329(x78142,f853(x78141,x78143,x78142)))+P1(f329(f329(f240(a1),f854(x78141,x78143,x78142)),x78141)) % 166.52/166.36 [7824]P148(x78243,x78242,x78241)+~P1(f329(x78243,x78242))+E(f329(f329(f82(a1),f329(f329(f83(a1),x78241),f857(x78241,x78242,x78243))),f853(x78241,x78242,x78243)),x78242)+P1(f329(f329(f240(a1),f2(a1)),x78241)) % 166.52/166.36 [7840]P149(x78403,x78402,x78401)+E(f329(f329(f82(a1),f329(f329(f83(a1),x78401),f852(x78401,x78402,x78403))),f849(x78401,x78402,x78403)),x78402)+~P1(f329(x78403,f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x78401)) % 166.52/166.36 [7868]~P1(f329(x78681,x78683))+~P1(f329(f62(x78682),x78683))+P1(f329(f329(f331(x78682),f859(x78681,x78683,x78682)),f858(x78681,x78683,x78682)))+P1(f329(x78681,f191(f918(x78682,a905)))) % 166.52/166.36 [7879]P148(x78791,x78792,x78793)+~P1(f329(x78791,x78792))+~P1(f329(x78791,f853(x78793,x78792,x78791)))+P1(f329(f329(f240(a1),f854(x78793,x78792,x78791)),x78793)) % 166.52/166.36 [7885]P149(x78851,x78852,x78853)+~P1(f329(x78851,f852(x78853,x78852,x78851)))+~P1(f329(x78851,f2(a1)))+P1(f329(f329(f240(a1),f850(x78853,x78852,x78851)),x78853)) % 166.52/166.36 [7993]~P130(x79931)+~P1(f329(f329(f239(x79931),f329(f329(f83(x79931),x79933),x79932)),f2(x79931)))+P1(f329(f329(f239(x79931),x79932),f2(x79931)))+P1(f329(f329(f239(x79931),f2(x79931)),x79932)) % 166.52/166.36 [7994]~P130(x79941)+~P1(f329(f329(f239(x79941),f329(f329(f83(x79941),x79942),x79943)),f2(x79941)))+P1(f329(f329(f239(x79941),x79942),f2(x79941)))+P1(f329(f329(f239(x79941),f2(x79941)),x79942)) % 166.52/166.36 [7995]~P73(x79951)+~P1(f329(f329(f239(x79951),f329(f329(f292(x79951),x79953),x79952)),f2(x79951)))+P1(f329(f329(f239(x79951),x79952),f2(x79951)))+P1(f329(f329(f239(x79951),f2(x79951)),x79952)) % 166.52/166.36 [7996]~P73(x79961)+~P1(f329(f329(f239(x79961),f329(f329(f292(x79961),x79962),x79963)),f2(x79961)))+P1(f329(f329(f239(x79961),x79962),f2(x79961)))+P1(f329(f329(f239(x79961),f2(x79961)),x79962)) % 166.52/166.36 [7997]~P73(x79971)+~P1(f329(f329(f240(x79971),f329(f329(f292(x79971),x79973),x79972)),f2(x79971)))+P1(f329(f329(f240(x79971),x79972),f2(x79971)))+P1(f329(f329(f240(x79971),f2(x79971)),x79972)) % 166.52/166.36 [7998]~P73(x79981)+~P1(f329(f329(f240(x79981),f329(f329(f292(x79981),x79982),x79983)),f2(x79981)))+P1(f329(f329(f240(x79981),x79982),f2(x79981)))+P1(f329(f329(f240(x79981),f2(x79981)),x79982)) % 166.52/166.36 [8022]~P130(x80221)+~P1(f329(f329(f239(x80221),f329(f329(f83(x80221),x80222),x80223)),f2(x80221)))+P1(f329(f329(f239(x80221),f2(x80221)),x80222))+P1(f329(f329(f239(x80221),f2(x80221)),x80223)) % 166.52/166.36 [8023]~P73(x80231)+~P1(f329(f329(f239(x80231),f329(f329(f292(x80231),x80232),x80233)),f2(x80231)))+P1(f329(f329(f239(x80231),f2(x80231)),x80232))+P1(f329(f329(f239(x80231),f2(x80231)),x80233)) % 166.52/166.36 [8024]~P73(x80241)+~P1(f329(f329(f240(x80241),f329(f329(f292(x80241),x80242),x80243)),f2(x80241)))+P1(f329(f329(f240(x80241),f2(x80241)),x80242))+P1(f329(f329(f240(x80241),f2(x80241)),x80243)) % 166.52/166.36 [8046]P149(x80462,x80463,x80461)+E(x80461,f2(a1))+P1(f329(f329(f239(a1),f849(x80461,x80463,x80462)),f2(a1)))+P1(f329(f329(f240(a1),f850(x80461,x80463,x80462)),x80461)) % 166.52/166.36 [8047]P148(x80472,x80473,x80471)+E(x80471,f2(a1))+P1(f329(f329(f239(a1),f853(x80471,x80473,x80472)),f2(a1)))+P1(f329(f329(f240(a1),f854(x80471,x80473,x80472)),x80471)) % 166.52/166.36 [8054]~P122(x80541)+~P1(f329(f329(f240(x80541),x80542),f80(x80541)))+P1(f329(f329(f240(x80541),f329(f329(f249(x80541),x80542),f329(a117,x80543))),f80(x80541)))+~P1(f329(f329(f240(x80541),f2(x80541)),x80542)) % 166.52/166.36 [8110]~P112(x81101)+~E(x81103,f118(x81101))+~P18(x81101,f329(f171(x81101),x81103))+E(f329(f145(x81101,x81101,f329(f7(x81101,x81101,x81101),f238(x81101)),x81102),f329(f171(x81101),x81103)),x81102) % 166.52/166.36 [8113]P148(x81131,x81132,x81133)+~P1(f329(x81131,x81132))+P1(f329(f329(f239(a1),f853(x81133,x81132,x81131)),f2(a1)))+P1(f329(f329(f240(a1),f854(x81133,x81132,x81131)),x81133)) % 166.52/166.36 [8123]P149(x81231,x81232,x81233)+~P1(f329(x81231,f2(a1)))+P1(f329(f329(f239(a1),f849(x81233,x81232,x81231)),f2(a1)))+P1(f329(f329(f240(a1),f850(x81233,x81232,x81231)),x81233)) % 166.52/166.36 [8345]P149(x83453,x83452,x83451)+E(x83451,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83451),f852(x83451,x83452,x83453))),f849(x83451,x83452,x83453)),x83452)+P1(f329(f329(f240(a1),f850(x83451,x83452,x83453)),x83451)) % 166.52/166.36 [8346]P148(x83463,x83462,x83461)+E(x83461,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83461),f857(x83461,x83462,x83463))),f853(x83461,x83462,x83463)),x83462)+P1(f329(f329(f240(a1),f854(x83461,x83462,x83463)),x83461)) % 166.52/166.36 [8381]P148(x83813,x83812,x83811)+~P1(f329(x83813,x83812))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83811),f857(x83811,x83812,x83813))),f853(x83811,x83812,x83813)),x83812)+P1(f329(f329(f240(a1),f854(x83811,x83812,x83813)),x83811)) % 166.52/166.36 [8382]~P5(x83821)+~P80(x83821)+~P47(x83823)+E(f329(f329(f6(a910,x83821),f329(f329(f8(a1,x83821,a910),x83822),f105(a1))),f329(f312(a1,a910,a109),x83823)),f329(f329(f6(a1,x83821),x83822),x83823)) % 166.52/166.36 [8383]~P5(x83831)+~P80(x83831)+~P47(x83833)+E(f329(f329(f9(a910,x83831),f329(f329(f8(a1,x83831,a910),x83832),f105(a1))),f329(f312(a1,a910,a109),x83833)),f329(f329(f9(a1,x83831),x83832),x83833)) % 166.52/166.36 [8392]P149(x83923,x83922,x83921)+E(f329(f329(f82(a1),f329(f329(f83(a1),x83921),f852(x83921,x83922,x83923))),f849(x83921,x83922,x83923)),x83922)+~P1(f329(x83923,f2(a1)))+P1(f329(f329(f240(a1),f850(x83921,x83922,x83923)),x83921)) % 166.52/166.36 [8415]~E(x84152,f2(a910))+~E(f329(f256(a910,a910),x84153),f2(a910))+~E(x84151,f329(f329(f82(a910),f329(f329(f83(a910),f329(f256(a910,a910),x84153)),x84152)),f329(f261(a910,a910),x84153)))+P1(f329(f49(x84151,x84152),x84153)) % 166.52/166.36 [8471]P1(f329(x84711,x84712))+~P1(f329(f329(f331(x84713),f789(x84711,x84712,x84713)),f783(x84711,x84712,x84713)))+~P1(f329(f62(x84713),x84712))+~P1(f329(x84711,f191(f918(x84713,a905)))) % 166.52/166.36 [9094]P1(f329(x90941,x90942))+~P1(f329(f62(x90943),x90942))+~P1(f329(x90941,f329(f329(f311(x90943),f789(x90941,x90942,x90943)),f783(x90941,x90942,x90943))))+~P1(f329(x90941,f191(f918(x90943,a905)))) % 166.52/166.36 [9339]P1(f329(f329(f239(a1),x93391),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f83(a1),x93393),x93391)),x93392)),f2(a1)))+~P1(f329(f329(f239(a1),f2(a1)),x93392))+~P1(f329(f329(f240(a1),f2(a1)),x93393)) % 166.52/166.36 [5909]~P2(x59092)+E(x59091,f191(f918(x59092,a905)))+~P1(f329(f62(x59092),x59091))+E(f13(x59092,f329(f329(f311(x59092),x59093),x59091)),f329(f329(f115(x59092),x59093),f13(x59092,x59091))) % 166.52/166.36 [5910]~P2(x59102)+E(x59101,f191(f918(x59102,a905)))+~P1(f329(f62(x59102),x59101))+E(f10(x59102,f329(f329(f311(x59102),x59103),x59101)),f329(f329(f106(x59102),x59103),f10(x59102,x59101))) % 166.52/166.36 [5911]~P112(x59112)+E(x59111,f191(f918(x59112,a905)))+~P1(f329(f62(x59112),x59111))+E(f14(x59112,f329(f329(f311(x59112),x59113),x59111)),f329(f329(f238(x59112),x59113),f14(x59112,x59111))) % 166.52/166.36 [5912]~P112(x59122)+E(x59121,f191(f918(x59122,a905)))+~P1(f329(f62(x59122),x59121))+E(f15(x59122,f329(f329(f311(x59122),x59123),x59121)),f329(f329(f237(x59122),x59123),f15(x59122,x59121))) % 166.52/166.36 [6232]~P130(x62321)+~E(x62323,f2(x62321))+~E(x62322,f2(x62321))+E(f329(f329(f82(x62321),f329(f329(f83(x62321),x62322),x62322)),f329(f329(f83(x62321),x62323),x62323)),f2(x62321)) % 166.52/166.36 [6299]~P99(x62992)+E(x62991,f191(f918(x62992,a905)))+~P1(f329(f62(x62992),x62991))+E(f329(f64(x62992,f83(x62992)),f329(f329(f311(x62992),x62993),x62991)),f329(f329(f83(x62992),x62993),f329(f64(x62992,f83(x62992)),x62991))) % 166.52/166.36 [6424]~P112(x64242)+E(x64241,f191(f918(x64242,a905)))+~P1(f329(f62(x64242),x64241))+E(f11(x64242,f237(x64242),f329(f329(f311(x64242),x64243),x64241)),f329(f329(f237(x64242),x64243),f11(x64242,f237(x64242),x64241))) % 166.52/166.36 [6425]~P112(x64252)+E(x64251,f191(f918(x64252,a905)))+~P1(f329(f62(x64252),x64251))+E(f12(x64252,f238(x64252),f329(f329(f311(x64252),x64253),x64251)),f329(f329(f238(x64252),x64253),f12(x64252,f238(x64252),x64251))) % 166.52/166.36 [6933]~P76(x69331)+~P1(f329(f62(x69331),x69333))+E(f329(f64(x69331,f83(x69331)),f329(f329(f311(x69331),x69332),x69333)),f329(f329(f65(x69331,x69331,f83(x69331)),x69332),x69333))+P1(f329(f329(f331(x69331),x69332),x69333)) % 166.52/166.36 [7011]~E(f329(f329(f82(a1),x70112),f329(f329(f83(a1),x70113),x70111)),x70113)+~P1(f329(f329(f240(a1),f2(a1)),x70113))+P1(f329(f329(f239(a1),f80(a1)),x70111))+~P1(f329(f329(f240(a1),x70112),x70113)) % 166.52/166.36 [7041]~E(f329(f329(f82(a1),x70412),f329(f329(f83(a1),x70413),x70411)),x70413)+P1(f329(f329(f239(a1),x70411),f80(a1)))+~P1(f329(f329(f239(a1),f2(a1)),x70412))+~P1(f329(f329(f240(a1),f2(a1)),x70413)) % 166.52/166.36 [7056]E(x70561,f2(a910))+~P1(f329(f49(x70563,x70561),x70562))+~P1(f329(f329(f240(a910),f2(a910)),x70561))+P1(f329(f329(f240(a910),f329(f261(a910,a910),x70562)),x70561)) % 166.52/166.36 [7087]~P141(x70871)+~P1(f329(f329(f239(x70871),x70872),f2(x70871)))+~P1(f329(f329(f239(x70871),x70873),f2(x70871)))+E(f329(f329(f83(x70871),f329(f77(x70871),x70872)),f329(f77(x70871),x70873)),f329(f77(x70871),f329(f329(f83(x70871),x70872),x70873))) % 166.52/166.36 [7133]~P141(x71331)+~P1(f329(f329(f239(x71331),x71332),f2(x71331)))+E(f329(f329(f83(x71331),f329(f77(x71331),x71332)),f329(f77(x71331),x71333)),f329(f77(x71331),f329(f329(f83(x71331),x71332),x71333)))+~P1(f329(f329(f239(x71331),f2(x71331)),x71333)) % 166.52/166.36 [7134]~P141(x71341)+~P1(f329(f329(f239(x71341),x71343),f2(x71341)))+E(f329(f329(f83(x71341),f329(f77(x71341),x71342)),f329(f77(x71341),x71343)),f329(f77(x71341),f329(f329(f83(x71341),x71342),x71343)))+~P1(f329(f329(f239(x71341),f2(x71341)),x71342)) % 166.52/166.36 [7190]~P141(x71901)+E(f329(f329(f83(x71901),f329(f77(x71901),x71902)),f329(f77(x71901),x71903)),f329(f77(x71901),f329(f329(f83(x71901),x71902),x71903)))+~P1(f329(f329(f239(x71901),f2(x71901)),x71902))+~P1(f329(f329(f239(x71901),f2(x71901)),x71903)) % 166.52/166.36 [7206]~P130(x72061)+~P1(f329(f329(f239(x72061),x72063),f2(x72061)))+~P1(f329(f329(f239(x72061),x72062),f2(x72061)))+P1(f329(f329(f239(x72061),f2(x72061)),f329(f329(f83(x72061),x72062),x72063))) % 166.52/166.36 [7208]~P138(x72081)+~P1(f329(f329(f239(x72081),x72083),f2(x72081)))+~P1(f329(f329(f239(x72081),x72082),f2(x72081)))+P1(f329(f329(f239(x72081),f2(x72081)),f329(f329(f83(x72081),x72082),x72083))) % 166.52/166.36 [7209]~P74(x72091)+~P1(f329(f329(f240(x72091),x72093),f2(x72091)))+~P1(f329(f329(f239(x72091),x72092),f2(x72091)))+P1(f329(f329(f239(x72091),f2(x72091)),f329(f329(f292(x72091),x72092),x72093))) % 166.52/166.36 [7210]~P73(x72101)+~P1(f329(f329(f239(x72101),x72103),f2(x72101)))+~P1(f329(f329(f239(x72101),x72102),f2(x72101)))+P1(f329(f329(f239(x72101),f2(x72101)),f329(f329(f292(x72101),x72102),x72103))) % 166.52/166.36 [7211]~P130(x72111)+~P1(f329(f329(f240(x72111),x72113),f2(x72111)))+~P1(f329(f329(f240(x72111),x72112),f2(x72111)))+P1(f329(f329(f240(x72111),f2(x72111)),f329(f329(f83(x72111),x72112),x72113))) % 166.52/166.36 [7212]~P74(x72121)+~P1(f329(f329(f240(x72121),x72123),f2(x72121)))+~P1(f329(f329(f240(x72121),x72122),f2(x72121)))+P1(f329(f329(f240(x72121),f2(x72121)),f329(f329(f292(x72121),x72122),x72123))) % 166.52/166.36 [7213]~P73(x72131)+~P1(f329(f329(f240(x72131),x72133),f2(x72131)))+~P1(f329(f329(f240(x72131),x72132),f2(x72131)))+P1(f329(f329(f240(x72131),f2(x72131)),f329(f329(f292(x72131),x72132),x72133))) % 166.52/166.36 [7214]~P122(x72141)+~P1(f329(f329(f240(a910),f2(a910)),x72143))+~P1(f329(f329(f240(x72141),f80(x72141)),x72142))+P1(f329(f329(f240(x72141),f80(x72141)),f329(f329(f249(x72141),x72142),x72143))) % 166.52/166.36 [7311]~P130(x73111)+~P1(f329(f329(f239(x73111),f2(x73111)),x73113))+~P1(f329(f329(f239(x73111),f2(x73111)),x73112))+P1(f329(f329(f239(x73111),f2(x73111)),f329(f329(f83(x73111),x73112),x73113))) % 166.52/166.36 [7312]~P137(x73121)+~P1(f329(f329(f239(x73121),f2(x73121)),x73123))+~P1(f329(f329(f239(x73121),f2(x73121)),x73122))+P1(f329(f329(f239(x73121),f2(x73121)),f329(f329(f83(x73121),x73122),x73123))) % 166.52/166.36 [7313]~P138(x73131)+~P1(f329(f329(f239(x73131),f2(x73131)),x73133))+~P1(f329(f329(f239(x73131),f2(x73131)),x73132))+P1(f329(f329(f239(x73131),f2(x73131)),f329(f329(f83(x73131),x73132),x73133))) % 166.52/166.36 [7314]~P74(x73141)+~P1(f329(f329(f240(x73141),f2(x73141)),x73143))+~P1(f329(f329(f239(x73141),f2(x73141)),x73142))+P1(f329(f329(f239(x73141),f2(x73141)),f329(f329(f292(x73141),x73142),x73143))) % 166.52/166.36 [7315]~P73(x73151)+~P1(f329(f329(f239(x73151),f2(x73151)),x73153))+~P1(f329(f329(f239(x73151),f2(x73151)),x73152))+P1(f329(f329(f239(x73151),f2(x73151)),f329(f329(f292(x73151),x73152),x73153))) % 166.52/166.36 [7318]~P90(x73181)+~P1(f329(f329(f240(x73181),f2(x73181)),x73183))+~P1(f329(f329(f240(x73181),f2(x73181)),x73182))+P1(f329(f329(f240(x73181),f2(x73181)),f329(f329(f82(x73181),x73182),x73183))) % 166.52/166.36 [7319]~P133(x73191)+~P1(f329(f329(f240(x73191),f2(x73191)),x73193))+~P1(f329(f329(f240(x73191),f2(x73191)),x73192))+P1(f329(f329(f240(x73191),f2(x73191)),f329(f329(f83(x73191),x73192),x73193))) % 166.52/166.36 [7320]~P74(x73201)+~P1(f329(f329(f240(x73201),f2(x73201)),x73203))+~P1(f329(f329(f240(x73201),f2(x73201)),x73202))+P1(f329(f329(f240(x73201),f2(x73201)),f329(f329(f292(x73201),x73202),x73203))) % 166.52/166.36 [7321]~P73(x73211)+~P1(f329(f329(f240(x73211),f2(x73211)),x73213))+~P1(f329(f329(f240(x73211),f2(x73211)),x73212))+P1(f329(f329(f240(x73211),f2(x73211)),f329(f329(f292(x73211),x73212),x73213))) % 166.52/166.36 [7322]~P122(x73221)+~P1(f329(f329(f240(x73221),f80(x73221)),x73223))+~P1(f329(f329(f240(x73221),f80(x73221)),x73222))+P1(f329(f329(f240(x73221),f80(x73221)),f329(f329(f83(x73221),x73222),x73223))) % 166.52/166.36 [7403]~P2(x74031)+~P1(f329(f62(x74031),x74033))+E(f13(x74031,f329(f329(f311(x74031),x74032),x74033)),x74032)+~E(f329(f329(f23(f918(x74031,a905)),x74033),f329(f329(f311(x74031),x74032),f191(f918(x74031,a905)))),f191(f918(x74031,a905))) % 166.52/166.36 [7404]~P2(x74041)+~P1(f329(f62(x74041),x74043))+E(f10(x74041,f329(f329(f311(x74041),x74042),x74043)),x74042)+~E(f329(f329(f23(f918(x74041,a905)),x74043),f329(f329(f311(x74041),x74042),f191(f918(x74041,a905)))),f191(f918(x74041,a905))) % 166.52/166.36 [7405]~P112(x74051)+~P1(f329(f62(x74051),x74053))+E(f14(x74051,f329(f329(f311(x74051),x74052),x74053)),x74052)+~E(f329(f329(f23(f918(x74051,a905)),x74053),f329(f329(f311(x74051),x74052),f191(f918(x74051,a905)))),f191(f918(x74051,a905))) % 166.52/166.36 [7406]~P112(x74061)+~P1(f329(f62(x74061),x74063))+E(f15(x74061,f329(f329(f311(x74061),x74062),x74063)),x74062)+~E(f329(f329(f23(f918(x74061,a905)),x74063),f329(f329(f311(x74061),x74062),f191(f918(x74061,a905)))),f191(f918(x74061,a905))) % 166.52/166.36 [7408]~P130(x74081)+P1(f329(f329(f239(x74081),x74082),f2(x74081)))+P1(f329(f329(f239(x74081),f2(x74081)),x74083))+~P1(f329(f329(f239(x74081),f2(x74081)),f329(f329(f83(x74081),x74083),x74082))) % 166.52/166.36 [7409]~P130(x74091)+P1(f329(f329(f239(x74091),x74092),f2(x74091)))+P1(f329(f329(f239(x74091),f2(x74091)),x74093))+~P1(f329(f329(f239(x74091),f2(x74091)),f329(f329(f83(x74091),x74092),x74093))) % 166.52/166.36 [7410]~P73(x74101)+P1(f329(f329(f239(x74101),x74102),f2(x74101)))+P1(f329(f329(f239(x74101),f2(x74101)),x74103))+~P1(f329(f329(f239(x74101),f2(x74101)),f329(f329(f292(x74101),x74103),x74102))) % 166.52/166.36 [7411]~P73(x74111)+P1(f329(f329(f239(x74111),x74112),f2(x74111)))+P1(f329(f329(f239(x74111),f2(x74111)),x74113))+~P1(f329(f329(f239(x74111),f2(x74111)),f329(f329(f292(x74111),x74112),x74113))) % 166.52/166.36 [7412]~P130(x74121)+P1(f329(f329(f239(x74121),x74122),f2(x74121)))+P1(f329(f329(f239(x74121),f2(x74121)),x74122))+~P1(f329(f329(f239(x74121),f2(x74121)),f329(f329(f83(x74121),x74123),x74122))) % 166.52/166.36 [7413]~P130(x74131)+P1(f329(f329(f239(x74131),x74132),f2(x74131)))+P1(f329(f329(f239(x74131),f2(x74131)),x74132))+~P1(f329(f329(f239(x74131),f2(x74131)),f329(f329(f83(x74131),x74132),x74133))) % 166.52/166.36 [7414]~P73(x74141)+P1(f329(f329(f239(x74141),x74142),f2(x74141)))+P1(f329(f329(f239(x74141),f2(x74141)),x74142))+~P1(f329(f329(f239(x74141),f2(x74141)),f329(f329(f292(x74141),x74143),x74142))) % 166.52/166.36 [7415]~P73(x74151)+P1(f329(f329(f239(x74151),x74152),f2(x74151)))+P1(f329(f329(f239(x74151),f2(x74151)),x74152))+~P1(f329(f329(f239(x74151),f2(x74151)),f329(f329(f292(x74151),x74152),x74153))) % 166.52/166.36 [7416]~P73(x74161)+P1(f329(f329(f240(x74161),x74162),f2(x74161)))+P1(f329(f329(f240(x74161),f2(x74161)),x74163))+~P1(f329(f329(f240(x74161),f2(x74161)),f329(f329(f292(x74161),x74163),x74162))) % 166.52/166.36 [7417]~P73(x74171)+P1(f329(f329(f240(x74171),x74172),f2(x74171)))+P1(f329(f329(f240(x74171),f2(x74171)),x74173))+~P1(f329(f329(f240(x74171),f2(x74171)),f329(f329(f292(x74171),x74172),x74173))) % 166.52/166.36 [7418]~P73(x74181)+P1(f329(f329(f240(x74181),x74182),f2(x74181)))+P1(f329(f329(f240(x74181),f2(x74181)),x74182))+~P1(f329(f329(f240(x74181),f2(x74181)),f329(f329(f292(x74181),x74183),x74182))) % 166.52/166.36 [7419]~P73(x74191)+P1(f329(f329(f240(x74191),x74192),f2(x74191)))+P1(f329(f329(f240(x74191),f2(x74191)),x74192))+~P1(f329(f329(f240(x74191),f2(x74191)),f329(f329(f292(x74191),x74192),x74193))) % 166.52/166.36 [7509]~E(f329(f329(f106(f918(x75091,a905)),f329(f175(x75091),x75092)),f329(f175(x75091),x75093)),f191(f918(x75091,a905)))+~P1(f329(f140(x75091),x75093))+~P1(f329(f140(x75091),x75092))+P1(f329(f140(x75091),f329(f329(f137(x75091),x75092),x75093))) % 166.52/166.36 [7510]~P112(x75101)+~P1(f329(f62(x75101),x75103))+E(f11(x75101,f237(x75101),f329(f329(f311(x75101),x75102),x75103)),x75102)+~E(f329(f329(f23(f918(x75101,a905)),x75103),f329(f329(f311(x75101),x75102),f191(f918(x75101,a905)))),f191(f918(x75101,a905))) % 166.52/166.36 [7511]~P112(x75111)+~P1(f329(f62(x75111),x75113))+E(f12(x75111,f238(x75111),f329(f329(f311(x75111),x75112),x75113)),x75112)+~E(f329(f329(f23(f918(x75111,a905)),x75113),f329(f329(f311(x75111),x75112),f191(f918(x75111,a905)))),f191(f918(x75111,a905))) % 166.52/166.36 [7528]~P89(x75281)+~P1(f329(f329(f239(x75281),x75282),x75283))+~P1(f329(f329(f239(x75281),f329(f81(x75281),x75282)),x75283))+P1(f329(f329(f239(x75281),f329(f77(x75281),x75282)),x75283)) % 166.52/166.36 [7529]~P123(x75291)+~P1(f329(f329(f240(x75291),x75292),x75293))+~P1(f329(f329(f240(x75291),f329(f81(x75291),x75292)),x75293))+P1(f329(f329(f240(x75291),f329(f77(x75291),x75292)),x75293)) % 166.52/166.36 [7600]~P133(x76001)+P1(f329(f329(f240(x76001),f2(x76001)),x76002))+~P1(f329(f329(f240(x76001),f2(x76001)),x76003))+~P1(f329(f329(f240(x76001),f2(x76001)),f329(f329(f83(x76001),x76003),x76002))) % 166.52/166.36 [7601]~P133(x76011)+P1(f329(f329(f240(x76011),f2(x76011)),x76012))+~P1(f329(f329(f240(x76011),f2(x76011)),x76013))+~P1(f329(f329(f240(x76011),f2(x76011)),f329(f329(f83(x76011),x76012),x76013))) % 166.52/166.36 [7901]E(x79011,x79012)+~P1(f329(f62(x79013),x79011))+~P1(f329(f329(f239(a910),f329(f36(x79013),x79011)),f329(f36(x79013),x79012)))+~P1(f329(f329(f239(f918(x79013,a905)),x79012),x79011)) % 166.52/166.36 [8051]~P1(f329(f329(f240(a1),x80511),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x80512))+~P1(f329(f329(f239(a1),x80512),x80513))+P1(f329(f329(f239(a1),f329(f329(f37(a1),x80511),x80512)),f329(f329(f37(a1),x80511),x80513))) % 166.52/166.36 [8062]~P1(f329(f329(f239(a1),f2(a1)),x80621))+~P1(f329(f329(f240(a1),f2(a1)),x80623))+~P1(f329(f329(f239(a1),x80623),x80622))+P1(f329(f329(f239(a1),f329(f329(f37(a1),x80621),x80622)),f329(f329(f37(a1),x80621),x80623))) % 166.52/166.36 [8206]E(f329(x82061,f391(x82062,x82061,x82063)),x82062)+~P1(f329(f329(f239(a1),x82062),f329(x82061,x82063)))+P1(f329(f329(f240(a910),f392(x82062,x82061,x82063)),x82063))+~P1(f329(f329(f239(a1),f329(x82061,f2(a910))),x82062)) % 166.52/166.36 [8207]E(f329(x82071,f395(x82072,x82071,x82073)),x82072)+~P1(f329(f329(f239(a1),x82072),f329(x82071,x82073)))+P1(f329(f329(f240(a910),f396(x82072,x82071,x82073)),x82073))+~P1(f329(f329(f239(a1),f329(x82071,f2(a910))),x82072)) % 166.52/166.36 [8307]~P1(f329(f62(x83071),x83073))+~P1(f329(f329(f240(a910),f329(f36(x83071),x83072)),f329(f36(x83071),x83073)))+~P1(f329(f329(f239(f918(x83071,a905)),x83072),x83073))+P1(f329(f329(f240(f918(x83071,a905)),x83072),x83073)) % 166.52/166.36 [8334]E(f329(f329(f23(a1),f374(x83343,x83341,x83342)),f375(x83343,x83341,x83342)),x83341)+E(f329(f329(f82(a1),x83341),x83342),x83341)+~P1(f329(f329(f240(a1),f2(a1)),x83342))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x83341),f80(a1))),x83343)) % 166.52/166.36 [8335]E(f329(f329(f82(a1),f364(x83353,x83351,x83352)),f365(x83353,x83351,x83352)),x83351)+E(f329(f329(f23(a1),x83351),x83352),x83351)+~P1(f329(f329(f240(a1),f2(a1)),x83352))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x83351),f80(a1))),x83353)) % 166.52/166.36 [8387]~P1(f329(f329(f239(a910),x83873),x83871))+P1(f329(f329(f239(a910),x83871),x83872))+~P1(f329(f329(f239(a910),x83873),x83872))+~P1(f329(f329(f239(a910),f329(f329(f23(a910),x83871),x83873)),f329(f329(f23(a910),x83872),x83873))) % 166.52/166.36 [8388]~P1(f329(f329(f239(a910),x83883),x83881))+P1(f329(f329(f240(a910),x83881),x83882))+~P1(f329(f329(f239(a910),x83883),x83882))+~P1(f329(f329(f240(a910),f329(f329(f23(a910),x83881),x83883)),f329(f329(f23(a910),x83882),x83883))) % 166.52/166.36 [8407]~P112(x84072)+E(x84071,f118(x84072))+~P18(x84072,f329(f171(x84072),x84071))+E(f329(f145(x84072,x84072,f329(f7(x84072,x84072,x84072),f238(x84072)),x84073),f329(f171(x84072),x84071)),f329(f329(f238(x84072),f329(f329(f167(x84072),x84071),f2(a910))),x84073)) % 166.52/166.36 [8455]~P10(x84551)+~P46(x84551,x84551,x84553)+P1(f329(f329(f239(x84551),x84552),f101(x84551,x84553)))+~P1(f329(f329(f239(x84551),x84552),f329(x84553,f329(f329(f115(x84551),x84552),f101(x84551,x84553))))) % 166.52/166.36 [8476]E(f329(f329(f82(a1),x84761),x84762),x84761)+~P1(f329(f329(f240(a1),f2(a1)),x84762))+P1(f329(f329(f331(a1),f374(x84763,x84761,x84762)),x84763))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x84761),f80(a1))),x84763)) % 166.52/166.36 [8477]E(f329(f329(f23(a1),x84771),x84772),x84771)+~P1(f329(f329(f240(a1),f2(a1)),x84772))+P1(f329(f329(f331(a1),f364(x84773,x84771,x84772)),x84773))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x84771),f80(a1))),x84773)) % 166.52/166.36 [8551]~P1(f329(f329(f239(a1),x85511),f329(x85512,x85513)))+P1(f329(f329(f240(a910),f392(x85511,x85512,x85513)),x85513))+P1(f329(f329(f239(a910),f391(x85511,x85512,x85513)),x85513))+~P1(f329(f329(f239(a1),f329(x85512,f2(a910))),x85511)) % 166.52/166.36 [8552]~P1(f329(f329(f239(a1),x85521),f329(x85522,x85523)))+P1(f329(f329(f240(a910),f396(x85521,x85522,x85523)),x85523))+P1(f329(f329(f239(a910),f395(x85521,x85522,x85523)),x85523))+~P1(f329(f329(f239(a1),f329(x85522,f2(a910))),x85521)) % 166.52/166.36 [8635]E(f329(f329(f82(a1),x86351),x86352),x86351)+~P1(f329(f329(f240(a1),f2(a1)),x86352))+P1(f329(f329(f331(a1),f375(x86353,x86351,x86352)),f305(a1,f80(a1),x86352)))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x86351),f80(a1))),x86353)) % 166.52/166.36 [8636]E(f329(f329(f23(a1),x86361),x86362),x86361)+~P1(f329(f329(f240(a1),f2(a1)),x86362))+P1(f329(f329(f331(a1),f365(x86363,x86361,x86362)),f305(a1,f80(a1),x86362)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x86361),f80(a1))),x86363)) % 166.52/166.36 [8766]~P122(x87661)+~P1(f329(f329(f240(x87661),x87662),f80(x87661)))+~P1(f329(f329(f240(x87661),f2(x87661)),x87662))+P1(f329(f329(f240(x87661),f329(f329(f83(x87661),x87662),f329(f329(f249(x87661),x87662),x87663))),f329(f329(f249(x87661),x87662),x87663))) % 166.52/166.36 [8850]~P1(f329(x88501,x88502))+P1(f329(x88501,f2(a910)))+~P1(f329(f329(f240(a910),x88502),x88503))+~P1(f329(x88501,f46(a910,f329(a117,f493(x88502,x88501,x88503)),x88503))) % 166.52/166.36 [8996]E(f521(x89961,x89962,x89963),f2(a910))+P1(f329(f329(x89961,x89963),x89962))+P1(f329(f329(x89961,f521(x89961,x89962,x89963)),f46(a910,f520(x89961,x89962,x89963),f521(x89961,x89962,x89963))))+~P1(f329(f317(f917(a910,a910),a223),f329(f329(f257(a910,a910),x89963),x89962))) % 166.52/166.36 [9035]~P30(x90351,x90351,x90352,x90353)+E(f329(f312(x90351,x90351,x90352),x90353),x90353)+~P1(f329(f62(x90351),x90353))+~P1(f329(f329(f239(f918(x90351,a905)),f329(f312(x90351,x90351,x90352),x90353)),x90353)) % 166.52/166.36 [9107]~P10(x91071)+~P46(x91071,x91071,x91073)+P1(f329(f329(f239(x91071),f329(f329(f115(x91071),x91072),f101(x91071,x91073))),f329(x91073,f329(f329(f115(x91071),x91072),f101(x91071,x91073)))))+~P1(f329(f329(f239(x91071),x91072),f329(x91073,f329(f329(f115(x91071),x91072),f101(x91071,x91073))))) % 166.52/166.36 [9261]P1(f329(f329(x92611,x92612),x92613))+P1(f329(f329(f240(a1),f798(x92611,x92613,x92612)),f799(x92611,x92613,x92612)))+P1(f329(f329(x92611,f798(x92611,x92613,x92612)),f329(f329(f82(a1),f799(x92611,x92613,x92612)),f80(a1))))+~P1(f329(f317(f917(a1,a1),a136),f329(f329(f257(a1,a1),x92612),x92613))) % 166.52/166.36 [9280]P1(f329(f329(x92801,x92802),x92803))+~P1(f329(f329(f240(a1),f519(x92801,x92803,x92802)),f2(a1)))+P1(f329(f329(x92801,f329(f81(a1),f518(x92801,x92803,x92802))),f329(f81(a1),f519(x92801,x92803,x92802))))+~P1(f329(f317(f917(a1,a1),a225),f329(f329(f257(a1,a1),x92802),x92803))) % 166.52/166.36 [9465]P1(f329(f329(x94651,x94652),x94653))+P1(f329(f329(x94651,f329(f329(f82(a1),f698(x94651,x94653,x94652)),f80(a1))),f700(x94651,x94653,x94652)))+~P1(f329(f329(f239(a1),f698(x94651,x94653,x94652)),f700(x94651,x94653,x94652)))+~P1(f329(f317(f917(a1,a1),a185),f329(f329(f257(a1,a1),x94652),x94653))) % 166.52/166.36 [9899]~P70(x98992)+~P70(x98991)+~P1(f329(f57(f917(x98991,x98992)),x98993))+P1(f329(f57(x98991),f329(f329(f8(f918(x98992,a905),a905,x98991),f57(x98992)),f329(f329(f8(f918(x98992,f917(x98991,x98992)),f918(x98992,a905),x98991),f329(f8(f917(x98991,x98992),a905,x98992),x98993)),f257(x98991,x98992))))) % 166.52/166.36 [9900]~P70(x99002)+~P70(x99001)+~P1(f329(f58(f917(x99001,x99002)),x99003))+P1(f329(f58(x99001),f329(f329(f8(f918(x99002,a905),a905,x99001),f58(x99002)),f329(f329(f8(f918(x99002,f917(x99001,x99002)),f918(x99002,a905),x99001),f329(f8(f917(x99001,x99002),a905,x99002),x99003)),f257(x99001,x99002))))) % 166.52/166.36 [9993]~P70(x99932)+~P70(x99931)+P1(f329(f57(f917(x99931,x99932)),x99933))+~P1(f329(f57(x99931),f329(f329(f8(f918(x99932,a905),a905,x99931),f57(x99932)),f329(f329(f8(f918(x99932,f917(x99931,x99932)),f918(x99932,a905),x99931),f329(f8(f917(x99931,x99932),a905,x99932),x99933)),f257(x99931,x99932))))) % 166.52/166.36 [9994]~P70(x99942)+~P70(x99941)+P1(f329(f58(f917(x99941,x99942)),x99943))+~P1(f329(f58(x99941),f329(f329(f8(f918(x99942,a905),a905,x99941),f58(x99942)),f329(f329(f8(f918(x99942,f917(x99941,x99942)),f918(x99942,a905),x99941),f329(f8(f917(x99941,x99942),a905,x99942),x99943)),f257(x99941,x99942))))) % 166.52/166.36 [10152]E(f329(x101521,f391(x101522,x101521,x101523)),x101522)+~P1(f329(f329(f239(a1),x101522),f329(x101521,x101523)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101521,f329(f329(f82(a910),f392(x101522,x101521,x101523)),f80(a910)))),f329(x101521,f392(x101522,x101521,x101523))))),f80(a1)))+~P1(f329(f329(f239(a1),f329(x101521,f2(a910))),x101522)) % 166.52/166.36 [10153]E(f329(x101531,f395(x101532,x101531,x101533)),x101532)+~P1(f329(f329(f239(a1),x101532),f329(x101531,x101533)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101531,f329(f329(f82(a910),f396(x101532,x101531,x101533)),f80(a910)))),f329(x101531,f396(x101532,x101531,x101533))))),f80(a1)))+~P1(f329(f329(f239(a1),f329(x101531,f2(a910))),x101532)) % 166.52/166.36 [10156]~P1(f329(f329(f239(a1),x101561),f329(x101562,x101563)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101562,f329(f329(f82(a910),f392(x101561,x101562,x101563)),f80(a910)))),f329(x101562,f392(x101561,x101562,x101563))))),f80(a1)))+P1(f329(f329(f239(a910),f391(x101561,x101562,x101563)),x101563))+~P1(f329(f329(f239(a1),f329(x101562,f2(a910))),x101561)) % 166.52/166.36 [10157]~P1(f329(f329(f239(a1),x101571),f329(x101572,x101573)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101572,f329(f329(f82(a910),f396(x101571,x101572,x101573)),f80(a910)))),f329(x101572,f396(x101571,x101572,x101573))))),f80(a1)))+P1(f329(f329(f239(a910),f395(x101571,x101572,x101573)),x101573))+~P1(f329(f329(f239(a1),f329(x101572,f2(a910))),x101571)) % 166.52/166.36 [10217]E(x102171,x102172)+~E(f329(f145(f911(x102173),f911(x102173),f137(x102173),f118(x102173)),x102171),f329(f145(f911(x102173),f911(x102173),f137(x102173),f118(x102173)),x102172))+~E(f329(f192(f911(f911(x102173))),x102171),f329(f192(f911(f911(x102173))),x102172))+~P1(f329(f329(f262(f911(x102173),f911(x102173),a905),f329(f329(f7(f911(x102173),f918(f911(x102173),a910),f918(f911(x102173),a905)),f329(f329(f8(f918(a910,a905),f918(f918(f911(x102173),a910),f918(f911(x102173),a905)),f911(x102173)),f8(a910,a905,f911(x102173))),f329(f329(f8(a910,f918(a910,a905),f911(x102173)),a326),f192(f911(x102173))))),f192(f911(x102173)))),f726(x102172,x102171,x102173))) % 166.52/166.36 [10218]E(x102181,x102182)+~E(f329(f145(f911(x102183),f911(x102183),f137(x102183),f118(x102183)),x102181),f329(f145(f911(x102183),f911(x102183),f137(x102183),f118(x102183)),x102182))+~E(f329(f192(f911(f911(x102183))),x102181),f329(f192(f911(f911(x102183))),x102182))+~P1(f329(f329(f262(f911(x102183),f911(x102183),a905),f329(f329(f7(f911(x102183),f918(f911(x102183),a910),f918(f911(x102183),a905)),f329(f329(f8(f918(a910,a905),f918(f918(f911(x102183),a910),f918(f911(x102183),a905)),f911(x102183)),f8(a910,a905,f911(x102183))),f329(f329(f8(a910,f918(a910,a905),f911(x102183)),a326),f192(f911(x102183))))),f192(f911(x102183)))),f727(x102181,x102182,x102183))) % 166.52/166.36 [6921]~E(f80(a910),f2(a910))+~P1(f329(f62(x69211),x69213))+~P1(f329(f62(x69211),x69212))+E(f329(f329(f82(a910),f329(f36(x69211),x69212)),f329(f36(x69211),x69213)),f329(f36(x69211),f329(f329(f115(f918(x69211,a905)),x69212),x69213))) % 166.52/166.36 [7329]~P104(x73291)+~P1(f329(f62(x73291),x73292))+~P1(f329(f329(f331(x73291),x73293),x73292))+P1(f329(f329(f239(x73291),f329(f64(x73291,f106(x73291)),x73292)),x73293)) % 166.52/166.36 [7330]~P112(x73301)+~P1(f329(f62(x73301),x73302))+~P1(f329(f329(f331(x73301),x73303),x73302))+P1(f329(f329(f239(x73301),f329(f64(x73301,f237(x73301)),x73302)),x73303)) % 166.52/166.36 [7594]~P1(f329(f62(x75941),x75943))+~P1(f329(f62(x75941),x75942))+~E(f329(f329(f106(f918(x75941,a905)),x75942),x75943),f191(f918(x75941,a905)))+E(f329(f329(f82(a910),f329(f36(x75941),x75942)),f329(f36(x75941),x75943)),f329(f36(x75941),f329(f329(f115(f918(x75941,a905)),x75942),x75943))) % 166.52/166.36 [8393]~P43(x83931,x83933)+~P43(x83931,x83932)+~E(f329(f329(f106(f918(x83931,a905)),f329(f269(x83931,x83931),x83932)),f329(f287(x83931,x83931),x83933)),f191(f918(x83931,a905)))+P43(x83931,f329(f329(f115(f918(f917(x83931,x83931),a905)),x83932),x83933)) % 166.52/166.36 [8488]E(x84881,f329(f329(f37(a910),x84882),x84883))+~P1(f329(f329(f240(a910),f2(a910)),x84883))+~P1(f329(f329(f240(a910),x84882),f329(f329(f83(a910),x84883),f329(a117,x84881))))+~P1(f329(f329(f239(a910),f329(f329(f83(a910),x84883),x84881)),x84882)) % 166.52/166.36 [8633]~P1(f329(f62(x86331),x86332))+~P1(f329(f62(x86331),x86333))+E(f329(f329(f82(a910),f329(f36(x86331),x86332)),f329(f36(x86331),x86333)),f329(f36(x86331),f329(f329(f115(f918(x86331,a905)),x86332),x86333)))+P1(f329(f329(f331(x86331),f895(x86333,x86332,x86331)),f329(f329(f106(f918(x86331,a905)),x86332),x86333))) % 166.52/166.36 [9008]~P130(x90082)+~E(x90081,f2(x90082))+~E(x90083,f2(x90082))+~P1(f329(f329(f240(x90082),f2(x90082)),f329(f329(f82(x90082),f329(f329(f83(x90082),x90083),x90083)),f329(f329(f83(x90082),x90081),x90081)))) % 166.52/166.36 [9543]~P43(x95431,x95433)+~P43(x95431,x95432)+P43(x95431,f329(f329(f115(f918(f917(x95431,x95431),a905)),x95432),x95433))+~P1(f329(f329(f239(f918(f917(x95431,x95431),a905)),f329(f329(f291(x95431,x95431,x95431),x95432),x95433)),x95432)) % 166.52/166.36 [9673]~P1(f329(x96731,x96733))+~P1(f329(f62(x96732),x96733))+P1(f329(x96731,f191(f918(x96732,a905))))+~P1(f329(x96731,f329(f329(f23(f918(x96732,a905)),f858(x96731,x96733,x96732)),f329(f329(f311(x96732),f859(x96731,x96733,x96732)),f191(f918(x96732,a905)))))) % 166.52/166.36 [8801]~P1(f329(f329(f240(a1),f2(a1)),x88013))+P1(f329(f329(f239(a1),f2(a1)),x88011))+~P1(f329(f329(f240(a1),x88012),x88013))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),f329(f329(f83(a1),x88013),x88011)),x88012))) % 166.52/166.36 [8824]~P2(x88241)+~P1(f329(f62(x88241),x88242))+E(f329(f329(f23(f918(x88241,a905)),x88242),f329(f329(f311(x88241),x88243),f191(f918(x88241,a905)))),f191(f918(x88241,a905)))+E(f329(f329(f115(x88241),x88243),f13(x88241,f329(f329(f23(f918(x88241,a905)),x88242),f329(f329(f311(x88241),x88243),f191(f918(x88241,a905)))))),f13(x88241,f329(f329(f311(x88241),x88243),x88242))) % 166.52/166.36 [8825]~P2(x88251)+~P1(f329(f62(x88251),x88252))+E(f329(f329(f23(f918(x88251,a905)),x88252),f329(f329(f311(x88251),x88253),f191(f918(x88251,a905)))),f191(f918(x88251,a905)))+E(f329(f329(f106(x88251),x88253),f10(x88251,f329(f329(f23(f918(x88251,a905)),x88252),f329(f329(f311(x88251),x88253),f191(f918(x88251,a905)))))),f10(x88251,f329(f329(f311(x88251),x88253),x88252))) % 166.52/166.36 [8826]~P112(x88261)+~P1(f329(f62(x88261),x88262))+E(f329(f329(f23(f918(x88261,a905)),x88262),f329(f329(f311(x88261),x88263),f191(f918(x88261,a905)))),f191(f918(x88261,a905)))+E(f329(f329(f238(x88261),x88263),f14(x88261,f329(f329(f23(f918(x88261,a905)),x88262),f329(f329(f311(x88261),x88263),f191(f918(x88261,a905)))))),f14(x88261,f329(f329(f311(x88261),x88263),x88262))) % 166.52/166.36 [8827]~P112(x88271)+~P1(f329(f62(x88271),x88272))+E(f329(f329(f23(f918(x88271,a905)),x88272),f329(f329(f311(x88271),x88273),f191(f918(x88271,a905)))),f191(f918(x88271,a905)))+E(f329(f329(f237(x88271),x88273),f15(x88271,f329(f329(f23(f918(x88271,a905)),x88272),f329(f329(f311(x88271),x88273),f191(f918(x88271,a905)))))),f15(x88271,f329(f329(f311(x88271),x88273),x88272))) % 166.52/166.36 [8893]~P112(x88931)+~P1(f329(f62(x88931),x88932))+E(f329(f329(f23(f918(x88931,a905)),x88932),f329(f329(f311(x88931),x88933),f191(f918(x88931,a905)))),f191(f918(x88931,a905)))+E(f329(f329(f237(x88931),x88933),f11(x88931,f237(x88931),f329(f329(f23(f918(x88931,a905)),x88932),f329(f329(f311(x88931),x88933),f191(f918(x88931,a905)))))),f11(x88931,f237(x88931),f329(f329(f311(x88931),x88933),x88932))) % 166.52/166.36 [8894]~P112(x88941)+~P1(f329(f62(x88941),x88942))+E(f329(f329(f23(f918(x88941,a905)),x88942),f329(f329(f311(x88941),x88943),f191(f918(x88941,a905)))),f191(f918(x88941,a905)))+E(f329(f329(f238(x88941),x88943),f12(x88941,f238(x88941),f329(f329(f23(f918(x88941,a905)),x88942),f329(f329(f311(x88941),x88943),f191(f918(x88941,a905)))))),f12(x88941,f238(x88941),f329(f329(f311(x88941),x88943),x88942))) % 166.52/166.36 [9284]~P10(x92841)+~P46(x92841,x92841,x92842)+P1(f329(f329(f239(x92841),f100(x92841,x92842)),x92843))+~P1(f329(f329(f239(x92841),f329(x92842,f329(f329(f106(x92841),f100(x92841,x92842)),x92843))),x92843)) % 166.52/166.36 [9484]E(x94841,x94842)+~E(f329(f145(f911(x94843),f911(x94843),f137(x94843),f118(x94843)),x94841),f329(f145(f911(x94843),f911(x94843),f137(x94843),f118(x94843)),x94842))+~E(f329(f192(f911(f911(x94843))),x94841),f329(f192(f911(f911(x94843))),x94842))+P1(f329(f329(f331(f917(f911(x94843),f911(x94843))),f726(x94842,x94841,x94843)),f329(f175(f917(f911(x94843),f911(x94843))),f329(f329(f184(f911(x94843),f911(x94843)),x94841),x94842)))) % 166.52/166.36 [9485]E(x94851,x94852)+~E(f329(f145(f911(x94853),f911(x94853),f137(x94853),f118(x94853)),x94851),f329(f145(f911(x94853),f911(x94853),f137(x94853),f118(x94853)),x94852))+~E(f329(f192(f911(f911(x94853))),x94851),f329(f192(f911(f911(x94853))),x94852))+P1(f329(f329(f331(f917(f911(x94853),f911(x94853))),f727(x94851,x94852,x94853)),f329(f175(f917(f911(x94853),f911(x94853))),f329(f329(f184(f911(x94853),f911(x94853)),x94852),x94851)))) % 166.52/166.36 [10320]~P101(x103202)+E(x103201,f191(f918(x103202,a905)))+~P1(f329(f62(x103202),x103201))+E(f10(x103202,f329(f267(x103202),f329(f329(f8(f918(x103202,a905),a905,x103202),f89(x103202)),f329(f329(f7(x103202,f918(x103202,a905),f918(x103202,a905)),f329(f329(f8(f918(x103202,f918(a905,a905)),f918(f918(x103202,a905),f918(x103202,a905)),x103202),f18(x103202,a905,a905)),f329(f329(f8(f918(x103202,a905),f918(x103202,f918(a905,a905)),x103202),f329(f8(a905,f918(a905,a905),x103202),a327)),f329(f329(f7(x103202,f918(x103202,x103202),f918(x103202,a905)),f329(f329(f8(f918(x103202,a905),f918(f918(x103202,x103202),f918(x103202,a905)),x103202),f8(x103202,a905,x103202)),a326)),f329(f115(x103202),x103203))))),f329(f329(f7(x103202,f918(x103202,a905),a905),f331(x103202)),x103201))))),f329(f329(f115(x103202),x103203),f10(x103202,x103201))) % 166.52/166.36 [10321]~P82(x103212)+E(x103211,f191(f918(x103212,a905)))+~P1(f329(f62(x103212),x103211))+E(f14(x103212,f329(f267(x103212),f329(f329(f8(f918(x103212,a905),a905,x103212),f89(x103212)),f329(f329(f7(x103212,f918(x103212,a905),f918(x103212,a905)),f329(f329(f8(f918(x103212,f918(a905,a905)),f918(f918(x103212,a905),f918(x103212,a905)),x103212),f18(x103212,a905,a905)),f329(f329(f8(f918(x103212,a905),f918(x103212,f918(a905,a905)),x103212),f329(f8(a905,f918(a905,a905),x103212),a327)),f329(f329(f7(x103212,f918(x103212,x103212),f918(x103212,a905)),f329(f329(f8(f918(x103212,a905),f918(f918(x103212,x103212),f918(x103212,a905)),x103212),f8(x103212,a905,x103212)),a326)),f329(f82(x103212),x103213))))),f329(f329(f7(x103212,f918(x103212,a905),a905),f331(x103212)),x103211))))),f329(f329(f82(x103212),x103213),f14(x103212,x103211))) % 166.52/166.36 [10322]~P82(x103222)+E(x103221,f191(f918(x103222,a905)))+~P1(f329(f62(x103222),x103221))+E(f15(x103222,f329(f267(x103222),f329(f329(f8(f918(x103222,a905),a905,x103222),f89(x103222)),f329(f329(f7(x103222,f918(x103222,a905),f918(x103222,a905)),f329(f329(f8(f918(x103222,f918(a905,a905)),f918(f918(x103222,a905),f918(x103222,a905)),x103222),f18(x103222,a905,a905)),f329(f329(f8(f918(x103222,a905),f918(x103222,f918(a905,a905)),x103222),f329(f8(a905,f918(a905,a905),x103222),a327)),f329(f329(f7(x103222,f918(x103222,x103222),f918(x103222,a905)),f329(f329(f8(f918(x103222,a905),f918(f918(x103222,x103222),f918(x103222,a905)),x103222),f8(x103222,a905,x103222)),a326)),f329(f82(x103222),x103223))))),f329(f329(f7(x103222,f918(x103222,a905),a905),f331(x103222)),x103221))))),f329(f329(f82(x103222),x103223),f15(x103222,x103221))) % 166.52/166.36 [10323]~P101(x103232)+E(x103231,f191(f918(x103232,a905)))+~P1(f329(f62(x103232),x103231))+E(f13(x103232,f329(f267(x103232),f329(f329(f8(f918(x103232,a905),a905,x103232),f89(x103232)),f329(f329(f7(x103232,f918(x103232,a905),f918(x103232,a905)),f329(f329(f8(f918(x103232,f918(a905,a905)),f918(f918(x103232,a905),f918(x103232,a905)),x103232),f18(x103232,a905,a905)),f329(f329(f8(f918(x103232,a905),f918(x103232,f918(a905,a905)),x103232),f329(f8(a905,f918(a905,a905),x103232),a327)),f329(f329(f7(x103232,f918(x103232,x103232),f918(x103232,a905)),f329(f329(f8(f918(x103232,a905),f918(f918(x103232,x103232),f918(x103232,a905)),x103232),f8(x103232,a905,x103232)),a326)),f329(f106(x103232),x103233))))),f329(f329(f7(x103232,f918(x103232,a905),a905),f331(x103232)),x103231))))),f329(f329(f106(x103232),x103233),f13(x103232,x103231))) % 166.52/166.36 [10324]~P112(x103242)+E(x103241,f191(f918(x103242,a905)))+~P1(f329(f62(x103242),x103241))+E(f12(x103242,f238(x103242),f329(f267(x103242),f329(f329(f8(f918(x103242,a905),a905,x103242),f89(x103242)),f329(f329(f7(x103242,f918(x103242,a905),f918(x103242,a905)),f329(f329(f8(f918(x103242,f918(a905,a905)),f918(f918(x103242,a905),f918(x103242,a905)),x103242),f18(x103242,a905,a905)),f329(f329(f8(f918(x103242,a905),f918(x103242,f918(a905,a905)),x103242),f329(f8(a905,f918(a905,a905),x103242),a327)),f329(f329(f7(x103242,f918(x103242,x103242),f918(x103242,a905)),f329(f329(f8(f918(x103242,a905),f918(f918(x103242,x103242),f918(x103242,a905)),x103242),f8(x103242,a905,x103242)),a326)),f329(f237(x103242),x103243))))),f329(f329(f7(x103242,f918(x103242,a905),a905),f331(x103242)),x103241))))),f329(f329(f237(x103242),x103243),f12(x103242,f238(x103242),x103241))) % 166.52/166.36 [10325]~P112(x103252)+E(x103251,f191(f918(x103252,a905)))+~P1(f329(f62(x103252),x103251))+E(f11(x103252,f237(x103252),f329(f267(x103252),f329(f329(f8(f918(x103252,a905),a905,x103252),f89(x103252)),f329(f329(f7(x103252,f918(x103252,a905),f918(x103252,a905)),f329(f329(f8(f918(x103252,f918(a905,a905)),f918(f918(x103252,a905),f918(x103252,a905)),x103252),f18(x103252,a905,a905)),f329(f329(f8(f918(x103252,a905),f918(x103252,f918(a905,a905)),x103252),f329(f8(a905,f918(a905,a905),x103252),a327)),f329(f329(f7(x103252,f918(x103252,x103252),f918(x103252,a905)),f329(f329(f8(f918(x103252,a905),f918(f918(x103252,x103252),f918(x103252,a905)),x103252),f8(x103252,a905,x103252)),a326)),f329(f238(x103252),x103253))))),f329(f329(f7(x103252,f918(x103252,a905),a905),f331(x103252)),x103251))))),f329(f329(f238(x103252),x103253),f11(x103252,f237(x103252),x103251))) % 166.52/166.36 [10059]~P123(x100591)+~E(x100593,f2(x100591))+~E(x100592,f2(x100591))+E(f329(f329(f82(x100591),f329(f329(f249(x100591),x100592),f329(f108(a910),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(x100591),x100593),f329(f108(a910),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(x100591)) % 166.52/166.36 [10198]~P122(x101981)+~P1(f329(f329(f239(x101981),f2(x101981)),x101983))+P1(f329(f329(f239(x101981),x101982),x101983))+~P1(f329(f329(f239(x101981),f329(f329(f249(x101981),x101982),f329(f108(a910),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(x101981),x101983),f329(f108(a910),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)))))) % 166.52/166.36 [10255]~P123(x102552)+~E(x102551,f2(x102552))+~E(x102553,f2(x102552))+~P1(f329(f329(f240(x102552),f2(x102552)),f329(f329(f82(x102552),f329(f329(f249(x102552),x102553),f329(f108(a910),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(x102552),x102551),f329(f108(a910),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))))))) % 166.52/166.36 [9447]E(x94471,x94472)+~E(f673(x94471,x94472,x94474,x94473),f675(x94471,x94472,x94474,x94473))+P1(f329(f329(f331(f917(f911(x94473),f911(x94473))),f329(f329(f257(f911(x94473),f911(x94473)),x94472),x94471)),f150(x94473,x94474)))+P1(f329(f329(f331(f917(f911(x94473),f911(x94473))),f329(f329(f257(f911(x94473),f911(x94473)),x94471),x94472)),f150(x94473,x94474))) % 166.52/166.36 [4952]~P71(x49522)+~E(x49524,f2(x49522))+~E(x49521,f2(x49522))+E(x49521,f329(f329(f292(x49522),x49523),x49524)) % 166.52/166.36 [4953]~P71(x49531)+~E(x49533,f2(x49531))+~E(x49534,f2(x49531))+E(f329(f329(f292(x49531),x49532),x49533),x49534) % 166.52/166.36 [5070]~P71(x50702)+E(x50701,f2(x50702))+~E(x50703,f2(x50702))+~E(x50701,f329(f329(f292(x50702),x50704),x50703)) % 166.52/166.36 [5071]~P71(x50712)+E(x50711,f2(x50712))+~E(x50713,f2(x50712))+~E(f329(f329(f292(x50712),x50714),x50713),x50711) % 166.52/166.36 [5256]~P126(x52562)+E(x52561,f2(x52562))+~E(f329(f329(f292(x52562),x52563),x52561),x52564)+E(x52563,f329(f329(f83(x52562),x52564),x52561)) % 166.52/166.36 [5258]~P126(x52582)+E(x52581,f2(x52582))+~E(f329(f329(f83(x52582),x52583),x52581),x52584)+E(x52583,f329(f329(f292(x52582),x52584),x52581)) % 166.52/166.36 [5259]~P71(x52592)+E(x52591,f2(x52592))+~E(f329(f329(f292(x52592),x52593),x52591),x52594)+E(x52593,f329(f329(f83(x52592),x52594),x52591)) % 166.52/166.36 [5260]~P71(x52602)+E(x52601,f2(x52602))+~E(f329(f329(f83(x52602),x52603),x52601),x52604)+E(x52603,f329(f329(f292(x52602),x52604),x52601)) % 166.52/166.36 [5261]~P126(x52612)+E(x52611,f2(x52612))+~E(x52613,f329(f329(f292(x52612),x52614),x52611))+E(f329(f329(f83(x52612),x52613),x52611),x52614) % 166.52/166.36 [5263]~P126(x52632)+E(x52631,f2(x52632))+~E(x52633,f329(f329(f83(x52632),x52634),x52631))+E(f329(f329(f292(x52632),x52633),x52631),x52634) % 166.52/166.36 [5264]~P71(x52642)+E(x52641,f2(x52642))+~E(x52643,f329(f329(f292(x52642),x52644),x52641))+E(f329(f329(f83(x52642),x52643),x52641),x52644) % 166.52/166.36 [5265]~P71(x52652)+E(x52651,f2(x52652))+~E(x52653,f329(f329(f83(x52652),x52654),x52651))+E(f329(f329(f292(x52652),x52653),x52651),x52654) % 166.52/166.36 [5290]~P71(x52902)+~E(x52901,f2(x52902))+~E(f329(f329(f83(x52902),x52901),x52904),x52903)+E(x52901,f329(f329(f292(x52902),x52903),x52904)) % 166.52/166.36 [5291]~P71(x52911)+~E(x52914,f2(x52911))+~E(x52912,f329(f329(f83(x52911),x52914),x52913))+E(f329(f329(f292(x52911),x52912),x52913),x52914) % 166.52/166.36 [5364]~E(x53643,x53644)+~E(x53642,x53643)+~P114(x53641)+E(f305(x53641,x53642,x53643),f329(f329(f311(x53641),x53644),f191(f918(x53641,a905)))) % 166.52/166.36 [5567]~E(f119(x55672,x55671),x55673)+~E(f147(x55672,x55671),x55674)+E(x55671,f118(x55672))+E(f329(f329(f137(x55672),x55673),f329(f329(f154(x55672),x55674),f118(x55672))),x55671) % 166.52/166.36 [6198]~P122(x61983)+E(x61981,x61982)+~E(f329(f329(f249(x61983),x61984),x61981),f329(f329(f249(x61983),x61984),x61982))+~P1(f329(f329(f240(x61983),f80(x61983)),x61984)) % 166.52/166.36 [6199]E(x61991,x61992)+~E(f329(f329(f311(x61993),x61994),x61991),f329(f329(f311(x61993),x61994),x61992))+P1(f329(f329(f331(x61993),x61994),x61992))+P1(f329(f329(f331(x61993),x61994),x61991)) % 166.52/166.36 [6242]E(f329(x62421,x62422),f2(a910))+~E(f329(f329(f6(x62423,a910),x62421),x62424),f2(a910))+~P1(f329(f62(x62423),x62424))+~P1(f329(f329(f331(x62423),x62422),x62424)) % 166.52/166.36 [6243]E(f329(x62431,x62432),f80(a910))+~E(f329(f329(f9(x62433,a910),x62431),x62434),f80(a910))+~P1(f329(f62(x62433),x62434))+~P1(f329(f329(f331(x62433),x62432),x62434)) % 166.52/166.36 [6458]~P114(x64581)+~P1(f329(f329(f239(x64581),x64584),x64583))+P1(f329(f329(f239(x64581),x64582),x64583))+~P1(f329(f329(f239(x64581),x64582),x64584)) % 166.52/166.36 [6459]~P111(x64591)+~P1(f329(f329(f239(x64591),x64592),x64594))+P1(f329(f329(f239(x64591),x64592),x64593))+~P1(f329(f329(f239(x64591),x64594),x64593)) % 166.52/166.36 [6460]~P114(x64601)+~P1(f329(f329(f240(x64601),x64604),x64603))+P1(f329(f329(f240(x64601),x64602),x64603))+~P1(f329(f329(f239(x64601),x64602),x64604)) % 166.52/166.36 [6461]~P114(x64611)+~P1(f329(f329(f240(x64611),x64612),x64614))+P1(f329(f329(f240(x64611),x64612),x64613))+~P1(f329(f329(f239(x64611),x64614),x64613)) % 166.52/166.36 [6462]~P114(x64621)+~P1(f329(f329(f240(x64621),x64624),x64623))+P1(f329(f329(f240(x64621),x64622),x64623))+~P1(f329(f329(f240(x64621),x64622),x64624)) % 166.52/166.36 [6463]~P111(x64631)+~P1(f329(f329(f240(x64631),x64632),x64634))+P1(f329(f329(f240(x64631),x64632),x64633))+~P1(f329(f329(f239(x64631),x64634),x64633)) % 166.52/166.36 [6464]~P111(x64641)+~P1(f329(f329(f240(x64641),x64644),x64643))+P1(f329(f329(f240(x64641),x64642),x64643))+~P1(f329(f329(f239(x64641),x64642),x64644)) % 166.52/166.36 [6465]~P111(x64651)+~P1(f329(f329(f240(x64651),x64652),x64654))+P1(f329(f329(f240(x64651),x64652),x64653))+~P1(f329(f329(f240(x64651),x64654),x64653)) % 166.52/166.36 [6549]~P41(x65494,x65493,x65492)+E(x65491,f779(x65492,x65493,x65494))+~P1(f329(x65493,x65491))+~P1(f329(f329(f331(x65494),x65491),f329(f175(x65494),x65492))) % 166.52/166.36 [6550]~P41(x65504,x65503,x65502)+E(x65501,f793(x65502,x65503,x65504))+~P1(f329(x65503,x65501))+~P1(f329(f329(f331(x65504),x65501),f329(f175(x65504),x65502))) % 166.52/166.36 [6699]~P10(x66991)+~P1(f329(f329(f239(x66991),x66992),f39(x66991,x66994)))+P1(f329(f329(f239(x66991),x66992),x66993))+~P1(f329(f329(f331(x66991),x66993),x66994)) % 166.52/166.36 [6843]~P112(x68431)+~P18(x68431,f329(f329(f154(x68431),x68432),x68434))+~P1(f329(f329(f331(x68431),x68433),f329(f175(x68431),x68434)))+P1(f329(f329(f239(x68431),x68432),x68433)) % 166.52/166.36 [6931]~P10(x69311)+~P1(f329(f329(f239(x69311),f38(x69311,x69314)),x69313))+P1(f329(f329(f239(x69311),x69312),x69313))+~P1(f329(f329(f331(x69311),x69312),x69314)) % 166.52/166.36 [7332]~P112(x73321)+E(f329(f329(f115(f918(x73321,a905)),f329(f304(x73321,x73322),x73323)),f329(f304(x73321,x73323),x73324)),f329(f304(x73321,x73322),x73324))+~P1(f329(f329(f239(x73321),x73323),x73324))+~P1(f329(f329(f239(x73321),x73322),x73323)) % 166.52/166.36 [7379]P41(x73791,x73792,x73793)+~E(f795(x73793,x73792,x73791,x73794),x73794)+~P1(f329(x73792,x73794))+~P1(f329(f329(f331(x73791),x73794),f329(f175(x73791),x73793))) % 166.52/166.36 [7380]P41(x73801,x73802,x73803)+~E(f802(x73803,x73802,x73801,x73804),x73804)+~P1(f329(x73802,x73804))+~P1(f329(f329(f331(x73801),x73804),f329(f175(x73801),x73803))) % 166.52/166.36 [7458]~P112(x74581)+E(f329(f329(f115(f918(x74581,a905)),f329(f304(x74581,x74582),x74583)),f305(x74581,x74583,x74584)),f305(x74581,x74582,x74584))+~P1(f329(f329(f239(x74581),x74583),x74584))+~P1(f329(f329(f239(x74581),x74582),x74583)) % 166.52/166.36 [7520]~P112(x75201)+E(f329(f329(f115(f918(x75201,a905)),f308(x75201,x75202,x75203)),f329(f304(x75201,x75203),x75204)),f308(x75201,x75202,x75204))+~P1(f329(f329(f239(x75201),x75203),x75204))+~P1(f329(f329(f240(x75201),x75202),x75203)) % 166.52/166.36 [7540]~P112(x75401)+E(f329(f329(f115(f918(x75401,a905)),f305(x75401,x75402,x75403)),f308(x75401,x75403,x75404)),f329(f304(x75401,x75402),x75404))+~P1(f329(f329(f239(x75401),x75402),x75403))+~P1(f329(f329(f240(x75401),x75403),x75404)) % 166.52/166.36 [7574]~P112(x75741)+E(f329(f329(f115(f918(x75741,a905)),f305(x75741,x75742,x75743)),f307(x75741,x75743,x75744)),f305(x75741,x75742,x75744))+~P1(f329(f329(f239(x75741),x75743),x75744))+~P1(f329(f329(f239(x75741),x75742),x75743)) % 166.52/166.36 [7575]~P112(x75751)+E(f329(f329(f115(f918(x75751,a905)),f307(x75751,x75752,x75753)),f307(x75751,x75753,x75754)),f307(x75751,x75752,x75754))+~P1(f329(f329(f239(x75751),x75753),x75754))+~P1(f329(f329(f239(x75751),x75752),x75753)) % 166.52/166.36 [7576]~P112(x75761)+E(f329(f329(f115(f918(x75761,a905)),f307(x75761,x75762,x75763)),f308(x75761,x75763,x75764)),f308(x75761,x75762,x75764))+~P1(f329(f329(f239(x75761),x75762),x75763))+~P1(f329(f329(f240(x75761),x75763),x75764)) % 166.52/166.36 [7577]~P112(x75771)+E(f329(f329(f115(f918(x75771,a905)),f308(x75771,x75772,x75773)),f305(x75771,x75773,x75774)),f307(x75771,x75772,x75774))+~P1(f329(f329(f239(x75771),x75773),x75774))+~P1(f329(f329(f240(x75771),x75772),x75773)) % 166.52/166.36 [8377]P30(x83771,x83772,f864(x83773,x83772,x83774,x83771),x83774)+~P1(f329(f62(x83772),x83773))+~P1(f329(f62(x83771),x83774))+~P1(f329(f329(f239(a910),f329(f36(x83771),x83774)),f329(f36(x83772),x83773))) % 166.52/166.36 [8398]P41(x83981,x83982,x83983)+~P1(f329(x83982,x83984))+P1(f329(x83982,f795(x83983,x83982,x83981,x83984)))+~P1(f329(f329(f331(x83981),x83984),f329(f175(x83981),x83983))) % 166.52/166.36 [8399]P41(x83991,x83992,x83993)+~P1(f329(x83992,x83994))+P1(f329(x83992,f802(x83993,x83992,x83991,x83994)))+~P1(f329(f329(f331(x83991),x83994),f329(f175(x83991),x83993))) % 166.52/166.36 [8454]~P80(x84541)+~E(f329(x84543,f450(x84543,x84544,x84542,x84541)),f80(x84541))+E(f329(f329(f329(f66(x84541,x84542,f83(x84541)),x84543),f80(x84541)),x84544),f80(x84541))+~P1(f329(f62(x84542),x84544)) % 166.52/166.36 [8733]~P122(x87331)+~P1(f329(f329(f239(x87331),f2(x87331)),x87333))+P1(f329(f329(f239(x87331),x87332),x87333))+~P1(f329(f329(f239(x87331),f329(f329(f249(x87331),x87332),f329(a117,x87334))),f329(f329(f249(x87331),x87333),f329(a117,x87334)))) % 166.52/166.36 [8892]~P46(f918(x88924,a905),f918(x88924,a905),x88923)+P1(f329(x88921,x88922))+~P1(f329(x88921,f470(x88921,x88923,x88922,x88924)))+~P1(f329(f329(f331(x88924),x88922),f100(f918(x88924,a905),x88923))) % 166.52/166.36 [9036]P41(x90361,x90362,x90363)+~P1(f329(x90362,x90364))+~P1(f329(f329(f331(x90361),x90364),f329(f175(x90361),x90363)))+P1(f329(f329(f331(x90361),f795(x90363,x90362,x90361,x90364)),f329(f175(x90361),x90363))) % 166.52/166.36 [9037]P41(x90371,x90372,x90373)+~P1(f329(x90372,x90374))+~P1(f329(f329(f331(x90371),x90374),f329(f175(x90371),x90373)))+P1(f329(f329(f331(x90371),f802(x90373,x90372,x90371,x90374)),f329(f175(x90371),x90373))) % 166.52/166.36 [9115]~P80(x91151)+E(f329(f329(f329(f66(x91151,x91152,f83(x91151)),x91153),f80(x91151)),x91154),f80(x91151))+~P1(f329(f62(x91152),x91154))+P1(f329(f329(f331(x91152),f450(x91153,x91154,x91152,x91151)),x91154)) % 166.52/166.36 [9617]~P1(f329(f329(f239(a1),x96174),f2(a1)))+P1(f329(f329(f239(a1),f329(f329(f82(a1),f329(f329(f83(a1),x96171),f46(a1,x96172,x96173))),x96174)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x96173))+~P1(f329(f329(f240(a1),x96171),x96174)) % 166.52/166.36 [10052]~P1(f329(f62(x100521),x100522))+~P1(f329(f329(f331(x100521),x100524),x100522))+~P1(f329(f329(f331(x100521),x100523),x100522))+P1(f329(f329(f240(a910),f329(f36(x100521),f329(f329(f23(f918(x100521,a905)),f329(f329(f23(f918(x100521,a905)),x100522),f329(f329(f311(x100521),x100523),f191(f918(x100521,a905))))),f329(f329(f311(x100521),x100524),f191(f918(x100521,a905)))))),f329(f36(x100521),x100522))) % 166.52/166.36 [7045]~P104(x70451)+~P1(f329(f329(f239(x70451),x70452),x70454))+~P1(f329(f329(f239(x70451),x70452),x70453))+P1(f329(f329(f239(x70451),x70452),f329(f329(f106(x70451),x70453),x70454))) % 166.52/166.36 [7048]~P112(x70481)+~P1(f329(f329(f239(x70481),x70482),x70484))+~P1(f329(f329(f239(x70481),x70482),x70483))+P1(f329(f329(f239(x70481),x70482),f329(f329(f237(x70481),x70483),x70484))) % 166.52/166.36 [7049]~P112(x70491)+~P1(f329(f329(f240(x70491),x70492),x70494))+~P1(f329(f329(f240(x70491),x70492),x70493))+P1(f329(f329(f240(x70491),x70492),f329(f329(f237(x70491),x70493),x70494))) % 166.52/166.36 [7069]~P72(x70692)+E(x70691,f2(x70692))+E(f329(f329(f292(x70692),f329(f329(f249(x70692),x70691),x70693)),f329(f329(f249(x70692),x70691),x70694)),f329(f329(f249(x70692),x70691),f329(f329(f23(a910),x70693),x70694)))+~P1(f329(f329(f239(a910),x70694),x70693)) % 166.52/166.36 [7113]~P112(x71131)+~P18(x71131,f329(f329(f154(x71131),x71133),x71134))+P18(x71131,f329(f329(f154(x71131),x71132),f329(f329(f154(x71131),x71133),x71134)))+~P1(f329(f329(f239(x71131),x71132),x71133)) % 166.52/166.36 [7149]~P90(x71491)+~P1(f329(f329(f239(x71491),f2(x71491)),x71494))+~P1(f329(f329(f239(x71491),x71492),x71493))+P1(f329(f329(f239(x71491),x71492),f329(f329(f82(x71491),x71493),x71494))) % 166.52/166.36 [7150]~P90(x71501)+~P1(f329(f329(f239(x71501),f2(x71501)),x71503))+~P1(f329(f329(f239(x71501),x71502),x71504))+P1(f329(f329(f239(x71501),x71502),f329(f329(f82(x71501),x71503),x71504))) % 166.52/166.36 [7151]~P90(x71511)+~P1(f329(f329(f239(x71511),x71512),x71514))+~P1(f329(f329(f240(x71511),f2(x71511)),x71513))+P1(f329(f329(f240(x71511),x71512),f329(f329(f82(x71511),x71513),x71514))) % 166.52/166.36 [7152]~P90(x71521)+~P1(f329(f329(f239(x71521),f2(x71521)),x71523))+~P1(f329(f329(f240(x71521),x71522),x71524))+P1(f329(f329(f240(x71521),x71522),f329(f329(f82(x71521),x71523),x71524))) % 166.52/166.36 [7153]~P122(x71531)+~P1(f329(f329(f240(x71531),f2(x71531)),x71533))+~P1(f329(f329(f240(x71531),x71532),x71534))+P1(f329(f329(f240(x71531),x71532),f329(f329(f82(x71531),x71533),x71534))) % 166.52/166.36 [7194]~P112(x71941)+P1(f329(f329(f239(x71941),x71942),x71943))+P1(f329(f329(f239(x71941),x71942),x71944))+~P1(f329(f329(f239(x71941),x71942),f329(f329(f238(x71941),x71944),x71943))) % 166.52/166.36 [7195]~P112(x71951)+P1(f329(f329(f240(x71951),x71952),x71953))+P1(f329(f329(f240(x71951),x71952),x71954))+~P1(f329(f329(f240(x71951),x71952),f329(f329(f238(x71951),x71954),x71953))) % 166.52/166.36 [7493]~P114(x74932)+~P70(x74931)+~P1(f329(f329(f240(f918(x74931,x74932)),x74933),x74934))+P1(f329(f329(f239(f918(x74931,x74932)),x74933),x74934)) % 166.52/166.36 [7861]~P74(x78611)+~P1(f329(f329(f240(x78611),x78614),f2(x78611)))+~P1(f329(f329(f239(x78611),x78613),f329(f329(f292(x78611),x78612),x78614)))+P1(f329(f329(f239(x78611),x78612),f329(f329(f83(x78611),x78613),x78614))) % 166.52/166.36 [7862]~P74(x78621)+~P1(f329(f329(f240(x78621),x78624),f2(x78621)))+~P1(f329(f329(f239(x78621),x78623),f329(f329(f83(x78621),x78622),x78624)))+P1(f329(f329(f239(x78621),x78622),f329(f329(f292(x78621),x78623),x78624))) % 166.52/166.36 [7863]~P74(x78631)+~P1(f329(f329(f240(x78631),x78634),f2(x78631)))+~P1(f329(f329(f240(x78631),x78633),f329(f329(f292(x78631),x78632),x78634)))+P1(f329(f329(f240(x78631),x78632),f329(f329(f83(x78631),x78633),x78634))) % 166.52/166.36 [7864]~P74(x78641)+~P1(f329(f329(f240(x78641),x78644),f2(x78641)))+~P1(f329(f329(f240(x78641),x78643),f329(f329(f83(x78641),x78642),x78644)))+P1(f329(f329(f240(x78641),x78642),f329(f329(f292(x78641),x78643),x78644))) % 166.52/166.36 [7976]~P130(x79761)+~P1(f329(f329(f240(x79761),x79762),f2(x79761)))+~P1(f329(f329(f239(x79761),x79764),x79763))+P1(f329(f329(f239(x79761),f329(f329(f83(x79761),x79762),x79763)),f329(f329(f83(x79761),x79762),x79764))) % 166.52/166.36 [7977]~P138(x79771)+~P1(f329(f329(f239(x79771),x79772),f2(x79771)))+~P1(f329(f329(f239(x79771),x79774),x79773))+P1(f329(f329(f239(x79771),f329(f329(f83(x79771),x79772),x79773)),f329(f329(f83(x79771),x79772),x79774))) % 166.52/166.36 [7978]~P138(x79781)+~P1(f329(f329(f239(x79781),x79783),f2(x79781)))+~P1(f329(f329(f239(x79781),x79784),x79782))+P1(f329(f329(f239(x79781),f329(f329(f83(x79781),x79782),x79783)),f329(f329(f83(x79781),x79784),x79783))) % 166.52/166.36 [7979]~P73(x79791)+~P1(f329(f329(f239(x79791),x79793),f2(x79791)))+~P1(f329(f329(f239(x79791),x79794),x79792))+P1(f329(f329(f239(x79791),f329(f329(f292(x79791),x79792),x79793)),f329(f329(f292(x79791),x79794),x79793))) % 166.52/166.36 [7983]~P130(x79831)+~P1(f329(f329(f240(x79831),x79833),f2(x79831)))+~P1(f329(f329(f240(x79831),x79834),x79832))+P1(f329(f329(f240(x79831),f329(f329(f83(x79831),x79832),x79833)),f329(f329(f83(x79831),x79834),x79833))) % 166.52/166.36 [7984]~P130(x79841)+~P1(f329(f329(f240(x79841),x79842),f2(x79841)))+~P1(f329(f329(f240(x79841),x79844),x79843))+P1(f329(f329(f240(x79841),f329(f329(f83(x79841),x79842),x79843)),f329(f329(f83(x79841),x79842),x79844))) % 166.52/166.36 [7985]~P74(x79851)+~P1(f329(f329(f240(x79851),x79853),f2(x79851)))+~P1(f329(f329(f240(x79851),x79854),x79852))+P1(f329(f329(f240(x79851),f329(f329(f292(x79851),x79852),x79853)),f329(f329(f292(x79851),x79854),x79853))) % 166.52/166.36 [7986]~P122(x79861)+~P1(f329(f329(f240(x79861),f80(x79861)),x79862))+~P1(f329(f329(f239(a910),x79863),x79864))+P1(f329(f329(f239(x79861),f329(f329(f249(x79861),x79862),x79863)),f329(f329(f249(x79861),x79862),x79864))) % 166.52/166.36 [7987]~P122(x79871)+~P1(f329(f329(f239(x79871),f80(x79871)),x79872))+~P1(f329(f329(f239(a910),x79873),x79874))+P1(f329(f329(f239(x79871),f329(f329(f249(x79871),x79872),x79873)),f329(f329(f249(x79871),x79872),x79874))) % 166.52/166.36 [7989]~P122(x79891)+~P1(f329(f329(f240(x79891),f80(x79891)),x79892))+~P1(f329(f329(f240(a910),x79893),x79894))+P1(f329(f329(f240(x79891),f329(f329(f249(x79891),x79892),x79893)),f329(f329(f249(x79891),x79892),x79894))) % 166.52/166.36 [8016]P1(f329(f329(f240(a910),f2(a910)),f329(x80161,x80162)))+~P1(f329(f62(x80163),x80164))+~P1(f329(f329(f331(x80163),x80162),x80164))+~P1(f329(f329(f240(a910),f2(a910)),f329(f329(f9(x80163,a910),x80161),x80164))) % 166.52/166.36 [8025]~P130(x80251)+~P1(f329(f329(f240(x80251),f2(x80251)),x80252))+~P1(f329(f329(f239(x80251),x80253),x80254))+P1(f329(f329(f239(x80251),f329(f329(f83(x80251),x80252),x80253)),f329(f329(f83(x80251),x80252),x80254))) % 166.52/166.36 [8026]~P140(x80261)+~P1(f329(f329(f239(x80261),x80263),x80264))+~P1(f329(f329(f239(x80261),f2(x80261)),x80262))+P1(f329(f329(f239(x80261),f329(f329(f83(x80261),x80262),x80263)),f329(f329(f83(x80261),x80262),x80264))) % 166.52/166.36 [8027]~P139(x80271)+~P1(f329(f329(f239(x80271),x80273),x80274))+~P1(f329(f329(f239(x80271),f2(x80271)),x80272))+P1(f329(f329(f239(x80271),f329(f329(f83(x80271),x80272),x80273)),f329(f329(f83(x80271),x80272),x80274))) % 166.52/166.36 [8028]~P140(x80281)+~P1(f329(f329(f239(x80281),x80282),x80284))+~P1(f329(f329(f239(x80281),f2(x80281)),x80283))+P1(f329(f329(f239(x80281),f329(f329(f83(x80281),x80282),x80283)),f329(f329(f83(x80281),x80284),x80283))) % 166.52/166.36 [8029]~P122(x80291)+~P1(f329(f329(f239(x80291),x80292),x80294))+~P1(f329(f329(f239(x80291),f2(x80291)),x80292))+P1(f329(f329(f239(x80291),f329(f329(f249(x80291),x80292),x80293)),f329(f329(f249(x80291),x80294),x80293))) % 166.52/166.36 [8030]~P73(x80301)+~P1(f329(f329(f239(x80301),x80302),x80304))+~P1(f329(f329(f239(x80301),f2(x80301)),x80303))+P1(f329(f329(f239(x80301),f329(f329(f292(x80301),x80302),x80303)),f329(f329(f292(x80301),x80304),x80303))) % 166.52/166.36 [8032]~P124(x80321)+~P1(f329(f329(f240(x80321),x80323),x80324))+~P1(f329(f329(f240(x80321),f2(x80321)),x80322))+P1(f329(f329(f240(x80321),f329(f329(f83(x80321),x80322),x80323)),f329(f329(f83(x80321),x80322),x80324))) % 166.52/166.36 [8033]~P133(x80331)+~P1(f329(f329(f240(x80331),x80333),x80334))+~P1(f329(f329(f240(x80331),f2(x80331)),x80332))+P1(f329(f329(f240(x80331),f329(f329(f83(x80331),x80332),x80333)),f329(f329(f83(x80331),x80332),x80334))) % 166.52/166.36 [8034]~P130(x80341)+~P1(f329(f329(f240(x80341),x80342),x80344))+~P1(f329(f329(f240(x80341),f2(x80341)),x80343))+P1(f329(f329(f240(x80341),f329(f329(f83(x80341),x80342),x80343)),f329(f329(f83(x80341),x80344),x80343))) % 166.52/166.36 [8035]~P133(x80351)+~P1(f329(f329(f240(x80351),x80352),x80354))+~P1(f329(f329(f240(x80351),f2(x80351)),x80353))+P1(f329(f329(f240(x80351),f329(f329(f83(x80351),x80352),x80353)),f329(f329(f83(x80351),x80354),x80353))) % 166.52/166.36 [8036]~P130(x80361)+~P1(f329(f329(f240(x80361),x80363),x80364))+~P1(f329(f329(f240(x80361),f2(x80361)),x80362))+P1(f329(f329(f240(x80361),f329(f329(f83(x80361),x80362),x80363)),f329(f329(f83(x80361),x80362),x80364))) % 166.52/166.36 [8037]~P74(x80371)+~P1(f329(f329(f240(x80371),x80372),x80374))+~P1(f329(f329(f240(x80371),f2(x80371)),x80373))+P1(f329(f329(f240(x80371),f329(f329(f292(x80371),x80372),x80373)),f329(f329(f292(x80371),x80374),x80373))) % 166.52/166.36 [8080]~P113(x80802)+P1(f329(f329(f240(f918(x80801,x80802)),x80804),x80803))+~P1(f329(f329(f239(f918(x80801,x80802)),x80804),x80803))+P1(f329(f329(f239(f918(x80801,x80802)),x80803),x80804)) % 166.52/166.36 [8125]P1(f329(f329(f331(x81251),x81252),x81253))+P1(f329(f329(f331(x81251),x81252),x81254))+~P1(f329(f329(f239(f918(x81251,a905)),x81254),x81253))+P1(f329(f329(f240(f918(x81251,a905)),x81254),f329(f329(f311(x81251),x81252),x81253))) % 166.52/166.36 [8288]P1(f329(f329(f331(x82881),x82882),x82883))+P1(f329(f329(f331(x82881),x82882),x82884))+~P1(f329(f329(f240(f918(x82881,a905)),x82884),f329(f329(f311(x82881),x82882),x82883)))+P1(f329(f329(f239(f918(x82881,a905)),x82884),x82883)) % 166.52/166.36 [8355]~P130(x83551)+P1(f329(f329(f240(x83551),x83553),x83552))+P1(f329(f329(f240(x83551),x83552),x83553))+~P1(f329(f329(f240(x83551),f329(f329(f83(x83551),x83554),x83552)),f329(f329(f83(x83551),x83554),x83553))) % 166.52/166.36 [8356]~P130(x83561)+P1(f329(f329(f240(x83561),x83563),x83562))+P1(f329(f329(f240(x83561),x83562),x83563))+~P1(f329(f329(f240(x83561),f329(f329(f83(x83561),x83562),x83564)),f329(f329(f83(x83561),x83563),x83564))) % 166.52/166.36 [8367]~P130(x83671)+P1(f329(f329(f240(x83671),x83674),f2(x83671)))+P1(f329(f329(f240(x83671),x83672),x83673))+~P1(f329(f329(f240(x83671),f329(f329(f83(x83671),x83672),x83674)),f329(f329(f83(x83671),x83673),x83674))) % 166.52/166.36 [8368]~P130(x83681)+P1(f329(f329(f240(x83681),x83684),f2(x83681)))+P1(f329(f329(f240(x83681),x83682),x83683))+~P1(f329(f329(f240(x83681),f329(f329(f83(x83681),x83684),x83682)),f329(f329(f83(x83681),x83684),x83683))) % 166.52/166.36 [8371]~P130(x83711)+P1(f329(f329(f240(x83711),x83712),x83713))+P1(f329(f329(f240(x83711),f2(x83711)),x83714))+~P1(f329(f329(f240(x83711),f329(f329(f83(x83711),x83714),x83713)),f329(f329(f83(x83711),x83714),x83712))) % 166.52/166.36 [8372]~P130(x83721)+P1(f329(f329(f240(x83721),x83722),x83723))+P1(f329(f329(f240(x83721),f2(x83721)),x83724))+~P1(f329(f329(f240(x83721),f329(f329(f83(x83721),x83723),x83724)),f329(f329(f83(x83721),x83722),x83724))) % 166.52/166.36 [8385]~P130(x83851)+P1(f329(f329(f240(x83851),x83852),f2(x83851)))+P1(f329(f329(f240(x83851),f2(x83851)),x83852))+~P1(f329(f329(f240(x83851),f329(f329(f83(x83851),x83853),x83852)),f329(f329(f83(x83851),x83854),x83852))) % 166.52/166.36 [8386]~P130(x83861)+P1(f329(f329(f240(x83861),x83862),f2(x83861)))+P1(f329(f329(f240(x83861),f2(x83861)),x83862))+~P1(f329(f329(f240(x83861),f329(f329(f83(x83861),x83862),x83863)),f329(f329(f83(x83861),x83862),x83864))) % 166.52/166.36 [8416]~P130(x84161)+~P1(f329(f329(f240(x84161),x84164),f2(x84161)))+P1(f329(f329(f239(x84161),x84162),x84163))+~P1(f329(f329(f239(x84161),f329(f329(f83(x84161),x84164),x84163)),f329(f329(f83(x84161),x84164),x84162))) % 166.52/166.36 [8417]~P130(x84171)+~P1(f329(f329(f240(x84171),x84174),f2(x84171)))+P1(f329(f329(f240(x84171),x84172),x84173))+~P1(f329(f329(f240(x84171),f329(f329(f83(x84171),x84174),x84173)),f329(f329(f83(x84171),x84174),x84172))) % 166.52/166.36 [8430]~P122(x84303)+~P1(f329(f329(f240(x84303),f80(x84303)),x84304))+P1(f329(f329(f239(a910),x84301),x84302))+~P1(f329(f329(f239(x84303),f329(f329(f249(x84303),x84304),x84301)),f329(f329(f249(x84303),x84304),x84302))) % 166.52/166.36 [8432]~P122(x84323)+~P1(f329(f329(f240(x84323),f80(x84323)),x84324))+P1(f329(f329(f240(a910),x84321),x84322))+~P1(f329(f329(f240(x84323),f329(f329(f249(x84323),x84324),x84321)),f329(f329(f249(x84323),x84324),x84322))) % 166.52/166.36 [8442]~P130(x84421)+P1(f329(f329(f239(x84421),x84422),x84423))+~P1(f329(f329(f240(x84421),f2(x84421)),x84424))+~P1(f329(f329(f239(x84421),f329(f329(f83(x84421),x84424),x84422)),f329(f329(f83(x84421),x84424),x84423))) % 166.52/166.36 [8443]~P133(x84431)+P1(f329(f329(f239(x84431),x84432),x84433))+~P1(f329(f329(f240(x84431),f2(x84431)),x84434))+~P1(f329(f329(f239(x84431),f329(f329(f83(x84431),x84434),x84432)),f329(f329(f83(x84431),x84434),x84433))) % 166.52/166.36 [8444]~P133(x84441)+P1(f329(f329(f239(x84441),x84442),x84443))+~P1(f329(f329(f240(x84441),f2(x84441)),x84444))+~P1(f329(f329(f239(x84441),f329(f329(f83(x84441),x84442),x84444)),f329(f329(f83(x84441),x84443),x84444))) % 166.52/166.36 [8445]~P130(x84451)+P1(f329(f329(f240(x84451),x84452),x84453))+~P1(f329(f329(f240(x84451),f2(x84451)),x84454))+~P1(f329(f329(f240(x84451),f329(f329(f83(x84451),x84454),x84452)),f329(f329(f83(x84451),x84454),x84453))) % 166.52/166.36 [8446]~P133(x84461)+P1(f329(f329(f240(x84461),x84462),x84463))+~P1(f329(f329(f239(x84461),f2(x84461)),x84464))+~P1(f329(f329(f240(x84461),f329(f329(f83(x84461),x84464),x84462)),f329(f329(f83(x84461),x84464),x84463))) % 166.52/166.36 [8447]~P134(x84471)+P1(f329(f329(f240(x84471),x84472),x84473))+~P1(f329(f329(f239(x84471),f2(x84471)),x84474))+~P1(f329(f329(f240(x84471),f329(f329(f83(x84471),x84474),x84472)),f329(f329(f83(x84471),x84474),x84473))) % 166.52/166.36 [8448]~P122(x84481)+~P1(f329(f329(f239(x84481),f2(x84481)),x84483))+P1(f329(f329(f240(x84481),x84482),x84483))+~P1(f329(f329(f240(x84481),f329(f329(f249(x84481),x84482),x84484)),f329(f329(f249(x84481),x84483),x84484))) % 166.52/166.36 [8449]~P133(x84491)+P1(f329(f329(f240(x84491),x84492),x84493))+~P1(f329(f329(f239(x84491),f2(x84491)),x84494))+~P1(f329(f329(f240(x84491),f329(f329(f83(x84491),x84492),x84494)),f329(f329(f83(x84491),x84493),x84494))) % 166.52/166.36 [8450]~P134(x84501)+P1(f329(f329(f240(x84501),x84502),x84503))+~P1(f329(f329(f239(x84501),f2(x84501)),x84504))+~P1(f329(f329(f240(x84501),f329(f329(f83(x84501),x84502),x84504)),f329(f329(f83(x84501),x84503),x84504))) % 166.52/166.36 [8491]P1(f329(f329(f331(x84911),x84912),x84913))+~P1(f329(f329(f239(f918(x84911,a905)),x84913),x84914))+~P1(f329(f329(f240(f918(x84911,a905)),x84913),x84914))+P1(f329(f329(f240(f918(x84911,a905)),x84913),f329(f329(f311(x84911),x84912),x84914))) % 166.52/166.36 [8870]E(f329(f329(f23(a1),f357(x88701,x88702,x88703,x88704)),f358(x88701,x88702,x88703,x88704)),x88704)+~P1(f329(f329(f240(a1),f2(a1)),x88703))+~P1(f329(f329(f239(a1),x88701),x88704))+P1(f329(f329(f239(a1),x88701),f329(f329(f82(a1),x88704),x88703))) % 166.52/166.36 [8871]E(f329(f329(f23(a1),f385(x88711,x88712,x88713,x88714)),f381(x88711,x88712,x88713,x88714)),x88714)+~P1(f329(f329(f240(a1),f2(a1)),x88713))+~P1(f329(f329(f240(a1),x88711),x88714))+P1(f329(f329(f240(a1),x88711),f329(f329(f82(a1),x88714),x88713))) % 166.52/166.36 [9016]~E(f329(f329(f167(x90161),x90163),f699(x90164,x90163,x90161,x90162)),f329(f329(f167(x90161),x90164),f699(x90164,x90163,x90161,x90162)))+E(f329(f329(f178(x90161),x90162),x90163),f329(f329(f178(x90161),x90162),x90164))+~P1(f329(f329(f239(a910),x90162),f329(f192(f911(x90161)),x90163)))+~P1(f329(f329(f239(a910),x90162),f329(f192(f911(x90161)),x90164))) % 166.52/166.36 [9083]~P1(f329(f329(f240(a1),f2(a1)),x90833))+~P1(f329(f329(f239(a1),x90831),x90834))+P1(f329(f329(f331(a1),f357(x90831,x90832,x90833,x90834)),x90832))+P1(f329(f329(f239(a1),x90831),f329(f329(f82(a1),x90834),x90833))) % 166.52/166.36 [9084]~P1(f329(f329(f240(a1),f2(a1)),x90843))+~P1(f329(f329(f240(a1),x90841),x90844))+P1(f329(f329(f331(a1),f385(x90841,x90842,x90843,x90844)),x90842))+P1(f329(f329(f240(a1),x90841),f329(f329(f82(a1),x90844),x90843))) % 166.52/166.36 [9124]~P104(x91241)+~P1(f329(f62(x91241),x91243))+~P1(f329(f329(f331(x91241),x91244),x91243))+P1(f329(f329(f239(x91241),f329(f329(f65(x91241,x91241,f106(x91241)),x91242),x91243)),f329(f329(f106(x91241),x91244),x91242))) % 166.52/166.36 [9125]~P112(x91251)+~P1(f329(f62(x91251),x91253))+~P1(f329(f329(f331(x91251),x91254),x91253))+P1(f329(f329(f239(x91251),f329(f329(f65(x91251,x91251,f237(x91251)),x91252),x91253)),f329(f329(f237(x91251),x91254),x91252))) % 166.52/166.36 [9172]E(f329(f329(f178(x91721),x91722),x91723),f329(f329(f178(x91721),x91722),x91724))+P1(f329(f329(f240(a910),f699(x91723,x91724,x91721,x91722)),x91722))+~P1(f329(f329(f239(a910),x91722),f329(f192(f911(x91721)),x91723)))+~P1(f329(f329(f239(a910),x91722),f329(f192(f911(x91721)),x91724))) % 166.52/166.36 [9177]~P1(f329(f329(f240(a1),f2(a1)),x91773))+~P1(f329(f329(f239(a1),x91771),x91772))+P1(f329(f329(f331(a1),f358(x91771,x91774,x91773,x91772)),f305(a1,f80(a1),x91773)))+P1(f329(f329(f239(a1),x91771),f329(f329(f82(a1),x91772),x91773))) % 166.52/166.36 [9178]~P1(f329(f329(f240(a1),f2(a1)),x91783))+~P1(f329(f329(f240(a1),x91781),x91782))+P1(f329(f329(f331(a1),f381(x91781,x91784,x91783,x91782)),f305(a1,f80(a1),x91783)))+P1(f329(f329(f240(a1),x91781),f329(f329(f82(a1),x91782),x91783))) % 166.52/166.36 [9504]~P112(x95041)+~P1(f329(f62(x95041),x95044))+P1(f329(f329(f331(x95041),f651(x95042,x95043,x95044,x95041)),x95044))+P1(f329(f329(f239(x95041),f329(f329(f65(x95041,x95041,f238(x95041)),x95042),x95044)),f329(f329(f238(x95041),x95043),x95042))) % 166.52/166.36 [9505]~P103(x95051)+~P1(f329(f62(x95051),x95054))+P1(f329(f329(f331(x95051),f655(x95052,x95053,x95054,x95051)),x95054))+P1(f329(f329(f239(x95051),f329(f329(f65(x95051,x95051,f115(x95051)),x95052),x95054)),f329(f329(f115(x95051),x95053),x95052))) % 166.52/166.36 [9633]~P103(x96331)+~P1(f329(f62(x96331),x96333))+~P1(f329(f329(f239(x96331),f655(x96332,x96334,x96333,x96331)),x96334))+P1(f329(f329(f239(x96331),f329(f329(f65(x96331,x96331,f115(x96331)),x96332),x96333)),f329(f329(f115(x96331),x96334),x96332))) % 166.52/166.36 [9634]~P112(x96341)+~P1(f329(f62(x96341),x96343))+~P1(f329(f329(f239(x96341),f651(x96342,x96344,x96343,x96341)),x96344))+P1(f329(f329(f239(x96341),f329(f329(f65(x96341,x96341,f238(x96341)),x96342),x96343)),f329(f329(f238(x96341),x96344),x96342))) % 166.52/166.36 [9636]~P1(f329(f329(f239(a1),f2(a1)),x96364))+~P1(f329(f329(f240(a1),f2(a1)),x96363))+~P1(f329(f329(f240(a1),x96364),x96361))+P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f83(a1),x96361),f46(a1,x96362,x96363))),x96364)),f329(f329(f83(a1),x96361),x96363))) % 166.52/166.36 [10022]E(x100221,x100222)+P1(f329(f329(f331(f917(f911(x100223),f911(x100223))),f329(f329(f257(f911(x100223),f911(x100223)),x100222),x100221)),f150(x100223,x100224)))+P1(f329(f329(f331(f917(f911(x100223),f911(x100223))),f329(f329(f257(f911(x100223),f911(x100223)),x100221),x100222)),f150(x100223,x100224)))+~P1(f329(f329(f331(f917(x100223,x100223)),f329(f329(f257(x100223,x100223),f673(x100221,x100222,x100224,x100223)),f675(x100221,x100222,x100224,x100223))),x100224)) % 166.52/166.36 [10023]E(x100231,x100232)+P1(f329(f329(f331(f917(f911(x100233),f911(x100233))),f329(f329(f257(f911(x100233),f911(x100233)),x100232),x100231)),f150(x100233,x100234)))+P1(f329(f329(f331(f917(f911(x100233),f911(x100233))),f329(f329(f257(f911(x100233),f911(x100233)),x100231),x100232)),f150(x100233,x100234)))+~P1(f329(f329(f331(f917(x100233,x100233)),f329(f329(f257(x100233,x100233),f675(x100231,x100232,x100234,x100233)),f673(x100231,x100232,x100234,x100233))),x100234)) % 166.52/166.36 [7565]~P103(x75651)+~P1(f329(f329(f239(x75651),x75653),x75654))+~P1(f329(f329(f239(x75651),x75652),x75654))+P1(f329(f329(f239(x75651),f329(f329(f115(x75651),x75652),x75653)),x75654)) % 166.52/166.36 [7568]~P112(x75681)+~P1(f329(f329(f239(x75681),x75683),x75684))+~P1(f329(f329(f239(x75681),x75682),x75684))+P1(f329(f329(f239(x75681),f329(f329(f238(x75681),x75682),x75683)),x75684)) % 166.52/166.36 [7569]~P112(x75691)+~P1(f329(f329(f240(x75691),x75693),x75694))+~P1(f329(f329(f240(x75691),x75692),x75694))+P1(f329(f329(f240(x75691),f329(f329(f238(x75691),x75692),x75693)),x75694)) % 166.52/166.36 [7886]~E(x78861,x78863)+E(f142(a910,f329(f304(a910,x78861),x78862)),f329(f329(f154(a910),x78863),x78864))+~E(f142(a910,f329(f304(a910,f329(f329(f82(a910),x78861),f80(a910))),x78862)),x78864)+~P1(f329(f329(f240(a910),x78861),x78862)) % 166.52/166.36 [7896]~P112(x78961)+P1(f329(f329(f239(x78961),x78962),x78963))+P1(f329(f329(f239(x78961),x78964),x78963))+~P1(f329(f329(f239(x78961),f329(f329(f237(x78961),x78964),x78962)),x78963)) % 166.52/166.36 [7897]~P112(x78971)+P1(f329(f329(f240(x78971),x78972),x78973))+P1(f329(f329(f240(x78971),x78974),x78973))+~P1(f329(f329(f240(x78971),f329(f329(f237(x78971),x78974),x78972)),x78973)) % 166.52/166.36 [8187]~P73(x81871)+~P1(f329(f329(f240(x81871),f2(x81871)),x81873))+~P1(f329(f329(f239(x81871),x81872),f329(f329(f292(x81871),x81874),x81873)))+P1(f329(f329(f239(x81871),f329(f329(f83(x81871),x81872),x81873)),x81874)) % 166.52/166.36 [8188]~P74(x81881)+~P1(f329(f329(f240(x81881),f2(x81881)),x81883))+~P1(f329(f329(f239(x81881),x81882),f329(f329(f292(x81881),x81884),x81883)))+P1(f329(f329(f239(x81881),f329(f329(f83(x81881),x81882),x81883)),x81884)) % 166.52/166.36 [8190]~P73(x81901)+~P1(f329(f329(f240(x81901),f2(x81901)),x81903))+~P1(f329(f329(f239(x81901),x81902),f329(f329(f83(x81901),x81904),x81903)))+P1(f329(f329(f239(x81901),f329(f329(f292(x81901),x81902),x81903)),x81904)) % 166.52/166.36 [8191]~P74(x81911)+~P1(f329(f329(f240(x81911),f2(x81911)),x81913))+~P1(f329(f329(f239(x81911),x81912),f329(f329(f83(x81911),x81914),x81913)))+P1(f329(f329(f239(x81911),f329(f329(f292(x81911),x81912),x81913)),x81914)) % 166.52/166.36 [8192]~P73(x81921)+~P1(f329(f329(f240(x81921),f2(x81921)),x81923))+~P1(f329(f329(f240(x81921),x81922),f329(f329(f292(x81921),x81924),x81923)))+P1(f329(f329(f240(x81921),f329(f329(f83(x81921),x81922),x81923)),x81924)) % 166.52/166.36 [8193]~P74(x81931)+~P1(f329(f329(f240(x81931),f2(x81931)),x81933))+~P1(f329(f329(f240(x81931),x81932),f329(f329(f292(x81931),x81934),x81933)))+P1(f329(f329(f240(x81931),f329(f329(f83(x81931),x81932),x81933)),x81934)) % 166.52/166.36 [8195]~P73(x81951)+~P1(f329(f329(f240(x81951),f2(x81951)),x81953))+~P1(f329(f329(f240(x81951),x81952),f329(f329(f83(x81951),x81954),x81953)))+P1(f329(f329(f240(x81951),f329(f329(f292(x81951),x81952),x81953)),x81954)) % 166.52/166.36 [8196]~P74(x81961)+~P1(f329(f329(f240(x81961),f2(x81961)),x81963))+~P1(f329(f329(f240(x81961),x81962),f329(f329(f83(x81961),x81964),x81963)))+P1(f329(f329(f240(x81961),f329(f329(f292(x81961),x81962),x81963)),x81964)) % 166.52/166.36 [8324]~P73(x83241)+~P1(f329(f329(f240(x83241),f2(x83241)),x83244))+P1(f329(f329(f239(x83241),x83242),f329(f329(f83(x83241),x83243),x83244)))+~P1(f329(f329(f239(x83241),f329(f329(f292(x83241),x83242),x83244)),x83243)) % 166.52/166.36 [8326]~P73(x83261)+~P1(f329(f329(f240(x83261),f2(x83261)),x83264))+P1(f329(f329(f239(x83261),x83262),f329(f329(f292(x83261),x83263),x83264)))+~P1(f329(f329(f239(x83261),f329(f329(f83(x83261),x83262),x83264)),x83263)) % 166.52/166.36 [8327]~P74(x83271)+~P1(f329(f329(f240(x83271),f2(x83271)),x83274))+P1(f329(f329(f239(x83271),x83272),f329(f329(f83(x83271),x83273),x83274)))+~P1(f329(f329(f239(x83271),f329(f329(f292(x83271),x83272),x83274)),x83273)) % 166.52/166.36 [8328]~P74(x83281)+~P1(f329(f329(f240(x83281),f2(x83281)),x83284))+P1(f329(f329(f239(x83281),x83282),f329(f329(f292(x83281),x83283),x83284)))+~P1(f329(f329(f239(x83281),f329(f329(f83(x83281),x83282),x83284)),x83283)) % 166.52/166.36 [8329]~P73(x83291)+~P1(f329(f329(f240(x83291),f2(x83291)),x83294))+P1(f329(f329(f240(x83291),x83292),f329(f329(f83(x83291),x83293),x83294)))+~P1(f329(f329(f240(x83291),f329(f329(f292(x83291),x83292),x83294)),x83293)) % 166.52/166.36 [8331]~P73(x83311)+~P1(f329(f329(f240(x83311),f2(x83311)),x83314))+P1(f329(f329(f240(x83311),x83312),f329(f329(f292(x83311),x83313),x83314)))+~P1(f329(f329(f240(x83311),f329(f329(f83(x83311),x83312),x83314)),x83313)) % 166.52/166.36 [8332]~P74(x83321)+~P1(f329(f329(f240(x83321),f2(x83321)),x83324))+P1(f329(f329(f240(x83321),x83322),f329(f329(f83(x83321),x83323),x83324)))+~P1(f329(f329(f240(x83321),f329(f329(f292(x83321),x83322),x83324)),x83323)) % 166.52/166.36 [8333]~P74(x83331)+~P1(f329(f329(f240(x83331),f2(x83331)),x83334))+P1(f329(f329(f240(x83331),x83332),f329(f329(f292(x83331),x83333),x83334)))+~P1(f329(f329(f240(x83331),f329(f329(f83(x83331),x83332),x83334)),x83333)) % 166.52/166.36 [8495]~P74(x84951)+~P1(f329(f329(f240(x84951),x84953),f2(x84951)))+~P1(f329(f329(f239(x84951),f329(f329(f292(x84951),x84954),x84953)),x84952))+P1(f329(f329(f239(x84951),f329(f329(f83(x84951),x84952),x84953)),x84954)) % 166.52/166.36 [8496]~P74(x84961)+~P1(f329(f329(f240(x84961),x84963),f2(x84961)))+~P1(f329(f329(f239(x84961),f329(f329(f83(x84961),x84964),x84963)),x84962))+P1(f329(f329(f239(x84961),f329(f329(f292(x84961),x84962),x84963)),x84964)) % 166.52/166.36 [8497]~P74(x84971)+~P1(f329(f329(f240(x84971),x84973),f2(x84971)))+~P1(f329(f329(f240(x84971),f329(f329(f292(x84971),x84974),x84973)),x84972))+P1(f329(f329(f240(x84971),f329(f329(f83(x84971),x84972),x84973)),x84974)) % 166.52/166.36 [8498]~P74(x84981)+~P1(f329(f329(f240(x84981),x84983),f2(x84981)))+~P1(f329(f329(f240(x84981),f329(f329(f83(x84981),x84984),x84983)),x84982))+P1(f329(f329(f240(x84981),f329(f329(f292(x84981),x84982),x84983)),x84984)) % 166.52/166.36 [8510]~P1(f329(x85101,x85104))+~P1(f329(f329(f240(a910),x85102),f329(f329(f83(a910),x85103),f329(a117,x85104))))+P1(f329(x85101,f329(f329(f37(a910),x85102),x85103)))+~P1(f329(f329(f239(a910),f329(f329(f83(a910),x85103),x85104)),x85102)) % 166.52/166.36 [8731]~P103(x87311)+~P1(f329(f62(x87311),x87314))+~P1(f329(f329(f331(x87311),x87312),x87314))+P1(f329(f329(f239(x87311),f329(f329(f115(x87311),x87312),x87313)),f329(f329(f65(x87311,x87311,f115(x87311)),x87313),x87314))) % 166.52/166.36 [8732]~P112(x87321)+~P1(f329(f62(x87321),x87324))+~P1(f329(f329(f331(x87321),x87322),x87324))+P1(f329(f329(f239(x87321),f329(f329(f238(x87321),x87322),x87323)),f329(f329(f65(x87321,x87321,f238(x87321)),x87323),x87324))) % 166.52/166.36 [8872]~P1(f329(f62(x88721),x88722))+E(f329(f36(x88721),f329(f329(f23(f918(x88721,a905)),x88722),f329(f329(f311(x88721),x88723),x88724))),f329(f329(f23(a910),f329(f36(x88721),f329(f329(f23(f918(x88721,a905)),x88722),x88724))),f80(a910)))+P1(f329(f329(f331(x88721),x88723),x88724))+~P1(f329(f329(f331(x88721),x88723),x88722)) % 166.52/166.36 [8945]E(f329(f329(f82(a1),f359(x89451,x89452,x89453,x89454)),f360(x89451,x89452,x89453,x89454)),x89454)+~P1(f329(f329(f240(a1),f2(a1)),x89453))+~P1(f329(f329(f239(a1),x89454),x89451))+P1(f329(f329(f239(a1),f329(f329(f23(a1),x89454),x89453)),x89451)) % 166.52/166.36 [8946]E(f329(f329(f82(a1),f382(x89461,x89462,x89463,x89464)),f383(x89461,x89462,x89463,x89464)),x89464)+~P1(f329(f329(f240(a1),f2(a1)),x89463))+~P1(f329(f329(f240(a1),x89464),x89461))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x89464),x89463)),x89461)) % 166.52/166.36 [9157]~P1(f329(f329(f240(a1),f2(a1)),x91573))+~P1(f329(f329(f239(a1),x91574),x91571))+P1(f329(f329(f331(a1),f359(x91571,x91572,x91573,x91574)),x91572))+P1(f329(f329(f239(a1),f329(f329(f23(a1),x91574),x91573)),x91571)) % 166.52/166.36 [9158]~P1(f329(f329(f240(a1),f2(a1)),x91583))+~P1(f329(f329(f240(a1),x91584),x91581))+P1(f329(f329(f331(a1),f382(x91581,x91582,x91583,x91584)),x91582))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x91584),x91583)),x91581)) % 166.52/166.36 [9244]~P1(f329(f329(f240(a1),f2(a1)),x92442))+~P1(f329(f329(f239(a1),x92441),x92443))+P1(f329(f329(f331(a1),f360(x92443,x92444,x92442,x92441)),f305(a1,f80(a1),x92442)))+P1(f329(f329(f239(a1),f329(f329(f23(a1),x92441),x92442)),x92443)) % 166.52/166.36 [9245]~P1(f329(f329(f240(a1),f2(a1)),x92452))+~P1(f329(f329(f240(a1),x92451),x92453))+P1(f329(f329(f331(a1),f383(x92453,x92454,x92452,x92451)),f305(a1,f80(a1),x92452)))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x92451),x92452)),x92453)) % 166.52/166.36 [9270]~P1(f329(f329(f239(a1),f2(a1)),x92704))+~P1(f329(f329(f240(a1),f2(a1)),x92703))+~P1(f329(f329(f240(a1),x92704),x92701))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),f329(f329(f83(a1),x92701),f46(a1,x92702,x92703))),x92704))) % 166.52/166.36 [9301]E(x93011,x93012)+~P45(x93013,x93014)+~P1(f329(f329(f331(f917(x93013,x93013)),f329(f329(f257(x93013,x93013),x93012),x93011)),x93014))+~P1(f329(f329(f331(f917(x93013,x93013)),f329(f329(f257(x93013,x93013),x93011),x93012)),x93014)) % 166.52/166.36 [9335]~P104(x93351)+~P1(f329(f62(x93351),x93354))+~P1(f329(f329(f239(x93351),x93352),f654(x93353,x93352,x93354,x93351)))+P1(f329(f329(f239(x93351),f329(f329(f106(x93351),x93352),x93353)),f329(f329(f65(x93351,x93351,f106(x93351)),x93353),x93354))) % 166.52/166.36 [9336]~P112(x93361)+~P1(f329(f62(x93361),x93364))+~P1(f329(f329(f239(x93361),x93362),f650(x93363,x93362,x93364,x93361)))+P1(f329(f329(f239(x93361),f329(f329(f237(x93361),x93362),x93363)),f329(f329(f65(x93361,x93361,f237(x93361)),x93363),x93364))) % 166.52/166.36 [9350]~P1(f329(f329(f239(a1),x93504),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x93502))+~P1(f329(f329(f240(a1),x93501),x93504))+P1(f329(f329(f240(a1),f329(f329(f83(a1),x93501),x93502)),f329(f329(f82(a1),f329(f329(f83(a1),x93501),f46(a1,x93503,x93502))),x93504))) % 166.52/166.36 [9373]P1(f329(f62(x93731),x93732))+~P1(f329(f62(x93731),x93733))+~P1(f329(f329(f331(f918(x93731,a905)),x93732),f329(f329(f61(x93731),x93733),x93734)))+~P1(f329(f329(f239(f918(f917(x93731,x93731),a905)),x93734),f329(f329(f259(x93731,x93731),x93733),f329(f16(f918(x93731,a905),x93731),x93733)))) % 166.52/166.36 [9397]~P112(x93971)+~P1(f329(f62(x93971),x93974))+P1(f329(f329(f331(x93971),f650(x93972,x93973,x93974,x93971)),x93974))+P1(f329(f329(f239(x93971),f329(f329(f237(x93971),x93973),x93972)),f329(f329(f65(x93971,x93971,f237(x93971)),x93972),x93974))) % 166.52/166.36 [9398]~P104(x93981)+~P1(f329(f62(x93981),x93984))+P1(f329(f329(f331(x93981),f654(x93982,x93983,x93984,x93981)),x93984))+P1(f329(f329(f239(x93981),f329(f329(f106(x93981),x93983),x93982)),f329(f329(f65(x93981,x93981,f106(x93981)),x93982),x93984))) % 166.52/166.36 [9409]~P46(f918(x94091,a905),f918(x94091,a905),x94093)+~P1(f329(f329(f331(x94091),x94092),x94094))+P1(f329(f329(f331(x94091),x94092),f101(f918(x94091,a905),x94093)))+~P1(f329(f329(f239(f918(x94091,a905)),x94094),f329(x94093,f329(f329(f115(f918(x94091,a905)),x94094),f101(f918(x94091,a905),x94093))))) % 166.52/166.36 [9588]~P46(f918(x95883,a905),f918(x95883,a905),x95884)+P1(f329(x95881,x95882))+~P1(f329(f329(f331(x95883),x95882),f100(f918(x95883,a905),x95884)))+P1(f329(f329(f331(x95883),f470(x95881,x95884,x95882,x95883)),f329(x95884,f329(f329(f106(f918(x95883,a905)),f100(f918(x95883,a905),x95884)),f329(f267(x95883),x95881))))) % 166.52/166.36 [9801]~P1(f329(f62(x98012),x98014))+~P1(f329(f62(x98011),x98013))+~P1(f329(f329(f239(a910),f329(f36(x98012),x98014)),f329(f36(x98011),x98013)))+P1(f329(f329(f239(f918(x98011,a905)),f329(f312(x98012,x98011,f864(x98013,x98011,x98014,x98012)),x98014)),x98013)) % 166.52/166.36 [9446]~P1(f329(f329(f331(x94461),x94462),x94464))+P1(f329(f329(f331(x94461),x94462),x94463))+~P1(f329(f329(f240(f918(x94461,a905)),x94464),f329(f329(f311(x94461),x94462),x94463)))+P1(f329(f329(f240(f918(x94461,a905)),f329(f329(f23(f918(x94461,a905)),x94464),f329(f329(f311(x94461),x94462),f191(f918(x94461,a905))))),x94463)) % 166.52/166.36 [9613]~P1(f329(f329(f331(x96131),x96132),x96134))+P1(f329(f329(f331(x96131),x96132),x96133))+P1(f329(f329(f240(f918(x96131,a905)),x96134),f329(f329(f311(x96131),x96132),x96133)))+~P1(f329(f329(f240(f918(x96131,a905)),f329(f329(f23(f918(x96131,a905)),x96134),f329(f329(f311(x96131),x96132),f191(f918(x96131,a905))))),x96133)) % 166.52/166.36 [9639]P1(f329(f329(f331(x96391),x96392),x96393))+~P1(f329(f329(f239(f918(x96391,a905)),x96394),x96393))+P1(f329(f329(f240(f918(x96391,a905)),x96394),f329(f329(f311(x96391),x96392),x96393)))+~P1(f329(f329(f240(f918(x96391,a905)),f329(f329(f23(f918(x96391,a905)),x96394),f329(f329(f311(x96391),x96392),f191(f918(x96391,a905))))),x96393)) % 166.52/166.36 [9644]~P1(f329(f329(f331(x96441),x96443),x96442))+~P1(f329(f329(f240(f918(x96441,a905)),x96442),x96444))+P1(f329(f329(f240(f918(x96441,a905)),x96442),f329(f329(f311(x96441),x96443),x96444)))+~P1(f329(f329(f240(f918(x96441,a905)),f329(f329(f23(f918(x96441,a905)),x96442),f329(f329(f311(x96441),x96443),f191(f918(x96441,a905))))),x96444)) % 166.52/166.36 [9659]~P1(f329(f329(f239(f918(x96591,a905)),x96592),x96594))+~P1(f329(f329(f240(f918(x96591,a905)),x96592),x96594))+P1(f329(f329(f240(f918(x96591,a905)),x96592),f329(f329(f311(x96591),x96593),x96594)))+~P1(f329(f329(f240(f918(x96591,a905)),f329(f329(f23(f918(x96591,a905)),x96592),f329(f329(f311(x96591),x96593),f191(f918(x96591,a905))))),x96594)) % 166.52/166.36 [9704]~P114(x97042)+~P70(x97041)+~P1(f329(f329(f239(f918(x97041,x97042)),x97043),x97044))+P1(f329(f58(x97041),f329(f329(f18(x97041,x97042,a905),f329(f329(f8(x97042,f918(x97042,a905),x97041),f239(x97042)),x97043)),x97044))) % 166.52/166.36 [9849]~P114(x98492)+~P70(x98491)+P1(f329(f329(f239(f918(x98491,x98492)),x98493),x98494))+~P1(f329(f58(x98491),f329(f329(f18(x98491,x98492,a905),f329(f329(f8(x98492,f918(x98492,a905),x98491),f239(x98492)),x98493)),x98494))) % 166.52/166.36 [10335]~P46(f918(x103351,a905),f918(x103351,a905),x103353)+~P1(f329(f329(f331(x103351),x103352),x103354))+P1(f329(f329(f331(x103351),x103352),f101(f918(x103351,a905),x103353)))+~P1(f329(f329(f239(f918(x103351,a905)),x103354),f329(x103353,f100(f918(x103351,a905),f329(f329(f7(f918(x103351,a905),f918(x103351,a905),f918(x103351,a905)),f329(f329(f8(f918(x103351,a905),f918(f918(x103351,a905),f918(x103351,a905)),f918(x103351,a905)),f115(f918(x103351,a905))),f329(f329(f7(f918(x103351,a905),f918(x103351,a905),f918(x103351,a905)),f329(f329(f8(f918(x103351,a905),f918(f918(x103351,a905),f918(x103351,a905)),f918(x103351,a905)),f115(f918(x103351,a905))),x103353)),x103354))),f101(f918(x103351,a905),x103353)))))) % 166.52/166.36 [10013]E(f329(f329(f167(x100131),f329(f329(f167(f911(x100131)),f182(x100131,x100132)),x100133)),x100134),f329(f329(f167(x100131),f329(f329(f167(f911(x100131)),x100132),x100134)),x100133))+~P1(f329(f329(f240(a910),x100133),f329(f192(f911(f911(x100131))),f182(x100131,x100132))))+~P18(a910,f329(f171(a910),f329(f329(f157(f911(x100131),a910),f192(f911(x100131))),x100132)))+~P1(f329(f329(f240(a910),x100134),f329(f192(f911(f911(x100131))),f329(f139(f911(x100131),f329(f329(f8(a910,a905,f911(x100131)),f329(f240(a910),x100133)),f192(f911(x100131)))),x100132)))) % 166.52/166.36 [10034]~P1(f329(f329(f331(f917(a910,a910)),x100344),x100341))+~P1(f329(f329(f331(f917(f917(a910,a910),f917(a910,a910))),f329(f329(f257(f917(a910,a910),f917(a910,a910)),x100344),x100342)),a34))+~P1(f329(f329(f331(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),x100341),x100343)),a70))+P1(f329(f329(f331(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),x100341),f329(f329(f311(f917(a910,a910)),x100342),x100343))),a70)) % 166.52/166.36 [10035]~P1(f329(f329(f331(f917(a910,a910)),x100354),x100351))+~P1(f329(f329(f331(f917(f917(a910,a910),f917(a910,a910))),f329(f329(f257(f917(a910,a910),f917(a910,a910)),x100354),x100352)),a72))+~P1(f329(f329(f331(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),x100351),x100353)),a73))+P1(f329(f329(f331(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),x100351),f329(f329(f311(f917(a910,a910)),x100352),x100353))),a73)) % 166.52/166.36 [9928]~P114(x99282)+~P70(x99281)+~P1(f329(f329(f240(f918(x99281,x99282)),x99283),x99284))+P1(f329(f57(x99281),f329(f329(f8(a905,a905,x99281),a324),f329(f329(f18(x99281,x99282,a905),f329(f329(f8(x99282,f918(x99282,a905),x99281),a326),x99283)),x99284)))) % 166.52/166.36 [10048]~P1(f329(f329(f331(f917(a910,a910)),x100484),x100483))+~P1(f329(f329(f331(f917(f917(a910,a910),f917(a910,a910))),f329(f329(f257(f917(a910,a910),f917(a910,a910)),x100481),x100484)),a34))+~P1(f329(f329(f331(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),x100482),x100483)),a35))+P1(f329(f329(f331(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),f329(f329(f311(f917(a910,a910)),x100481),x100482)),x100483)),a35)) % 166.52/166.36 [10049]~P1(f329(f329(f331(f917(a910,a910)),x100494),x100493))+~P1(f329(f329(f331(f917(f917(a910,a910),f917(a910,a910))),f329(f329(f257(f917(a910,a910),f917(a910,a910)),x100491),x100494)),a72))+~P1(f329(f329(f331(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),x100492),x100493)),a71))+P1(f329(f329(f331(f917(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905))),f329(f329(f257(f918(f917(a910,a910),a905),f918(f917(a910,a910),a905)),f329(f329(f311(f917(a910,a910)),x100491),x100492)),x100493)),a71)) % 166.52/166.36 [6147]~P12(x61474,x61471)+~P1(f329(f329(x61471,x61472),x61475))+P1(f329(f329(x61471,x61472),x61473))+~P1(f329(f329(x61471,x61475),x61473)) % 166.52/166.36 [6148]~P57(x61484,x61481)+~P1(f329(f329(x61481,x61482),x61485))+P1(f329(f329(x61481,x61482),x61483))+~P1(f329(f329(x61481,x61485),x61483)) % 166.52/166.36 [6149]~P20(x61494,x61491)+~P1(f329(f329(x61491,x61492),x61495))+P1(f329(f329(x61491,x61492),x61493))+~P1(f329(f329(x61491,x61495),x61493)) % 166.52/166.36 [9693]~P44(x96931,x96934)+P1(f329(f329(f331(f917(f911(x96931),f911(x96931))),f329(f329(f257(f911(x96931),f911(x96931)),x96932),x96933)),f150(x96931,x96934)))+~P1(f329(f329(f331(f917(f911(x96931),f911(x96931))),f329(f329(f257(f911(x96931),f911(x96931)),x96932),x96935)),f150(x96931,x96934)))+~P1(f329(f329(f331(f917(f911(x96931),f911(x96931))),f329(f329(f257(f911(x96931),f911(x96931)),x96935),x96933)),f150(x96931,x96934))) % 166.52/166.36 [5394]~P75(x53945)+E(x53941,x53942)+~E(x53943,x53944)+~E(f329(f329(f23(x53945),x53943),x53944),f329(f329(f23(x53945),x53941),x53942)) % 166.52/166.36 [6262]~P22(x62625,x62621,x62623)+E(f329(f329(x62621,x62622),f329(x62623,x62624)),f329(x62623,x62624))+~P1(f329(f62(x62625),x62624))+~P1(f329(f329(f331(x62625),x62622),x62624)) % 166.52/166.36 [6449]~P86(x64491)+~E(f329(f329(f23(x64491),x64494),x64495),f329(f329(f23(x64491),x64492),x64493))+~P1(f329(f329(f239(x64491),x64494),x64495))+P1(f329(f329(f239(x64491),x64492),x64493)) % 166.52/166.36 [6451]~P86(x64511)+~E(f329(f329(f23(x64511),x64514),x64515),f329(f329(f23(x64511),x64512),x64513))+~P1(f329(f329(f240(x64511),x64514),x64515))+P1(f329(f329(f240(x64511),x64512),x64513)) % 166.52/166.36 [7421]~E(x74212,f329(f329(f154(x74211),x74214),x74215))+P1(f329(f329(f331(f911(x74211)),x74212),f164(x74211,x74213)))+~P1(f329(f329(f331(f911(x74211)),x74215),f164(x74211,x74213)))+~P1(f329(f329(f331(x74211),x74214),x74213)) % 166.52/166.36 [7835]~E(f329(f192(f911(x78351)),x78353),f329(f192(f911(x78352)),x78354))+~E(f329(f329(f157(f917(x78351,x78352),x78352),f261(x78351,x78352)),x78355),x78354)+~E(f329(f329(f157(f917(x78351,x78352),x78351),f256(x78351,x78352)),x78355),x78353)+E(f329(f329(f184(x78351,x78352),x78353),x78354),x78355) % 166.52/166.36 [8184]~P114(x81841)+P1(f329(f329(f240(f918(x81841,a905)),f305(x81841,x81842,x81843)),f305(x81841,x81844,x81845)))+~P1(f329(f329(f239(x81841),x81844),x81845))+P1(f329(f329(f239(x81841),x81842),x81843)) % 166.52/166.36 [8281]~P114(x82811)+P1(f329(f329(f239(f918(x82811,a905)),f305(x82811,x82812,x82813)),f305(x82811,x82814,x82815)))+~P1(f329(f329(f239(x82811),x82813),x82815))+~P1(f329(f329(f239(x82811),x82814),x82812)) % 166.52/166.36 [8401]~P112(x84011)+P1(f329(f329(f239(x84011),x84012),x84013))+P1(f329(f329(f239(x84011),x84014),x84013))+~P1(f329(f329(f239(f918(x84011,a905)),f329(f304(x84011,x84013),x84012)),f329(f304(x84011,x84014),x84015))) % 166.52/166.36 [8402]~P112(x84021)+P1(f329(f329(f239(x84021),x84022),x84023))+P1(f329(f329(f239(x84021),x84022),x84024))+~P1(f329(f329(f239(f918(x84021,a905)),f329(f304(x84021,x84023),x84022)),f329(f304(x84021,x84025),x84024))) % 166.52/166.36 [8574]~P104(x85743)+~P104(x85741)+~P46(x85743,x85741,x85742)+P1(f329(f329(f239(x85741),f329(x85742,f329(f329(f106(x85743),x85744),x85745))),f329(f329(f106(x85741),f329(x85742,x85744)),f329(x85742,x85745)))) % 166.52/166.36 [8575]~P112(x85753)+~P104(x85751)+~P46(x85753,x85751,x85752)+P1(f329(f329(f239(x85751),f329(x85752,f329(f329(f237(x85753),x85754),x85755))),f329(f329(f106(x85751),f329(x85752,x85754)),f329(x85752,x85755)))) % 166.52/166.36 [8650]~P114(x86501)+~P1(f329(f329(f239(f918(x86501,a905)),f305(x86501,x86504,x86502)),f305(x86501,x86505,x86503)))+P1(f329(f329(f239(x86501),x86502),x86503))+~P1(f329(f329(f239(x86501),x86504),x86502)) % 166.52/166.36 [8651]~P114(x86511)+~P1(f329(f329(f240(f918(x86511,a905)),f305(x86511,x86514,x86512)),f305(x86511,x86515,x86513)))+P1(f329(f329(f239(x86511),x86512),x86513))+~P1(f329(f329(f239(x86511),x86514),x86512)) % 166.52/166.36 [8652]~P114(x86521)+~P1(f329(f329(f239(f918(x86521,a905)),f305(x86521,x86523,x86524)),f305(x86521,x86522,x86525)))+P1(f329(f329(f239(x86521),x86522),x86523))+~P1(f329(f329(f239(x86521),x86523),x86524)) % 166.52/166.36 [8653]~P114(x86531)+~P1(f329(f329(f240(f918(x86531,a905)),f305(x86531,x86533,x86534)),f305(x86531,x86532,x86535)))+P1(f329(f329(f239(x86531),x86532),x86533))+~P1(f329(f329(f239(x86531),x86533),x86534)) % 166.52/166.36 [6095]~P112(x60955)+~P112(x60951)+~P46(x60955,x60951,x60952)+E(f329(f329(f237(x60951),f329(x60952,x60953)),f329(x60952,x60954)),f329(x60952,f329(f329(f237(x60955),x60953),x60954))) % 166.52/166.36 [6096]~P112(x60965)+~P112(x60961)+~P46(x60965,x60961,x60962)+E(f329(f329(f238(x60961),f329(x60962,x60963)),f329(x60962,x60964)),f329(x60962,f329(f329(f238(x60965),x60963),x60964))) % 166.52/166.36 [6146]~P22(x61462,x61465,x61463)+E(x61461,f191(f918(x61462,a905)))+~P1(f329(f62(x61462),x61461))+E(f329(x61463,f329(f329(f311(x61462),x61464),x61461)),f329(f329(x61465,x61464),f329(x61463,x61461))) % 166.52/166.36 [6919]~E(x69191,x69192)+~E(f329(f329(f106(f918(x69193,a905)),x69194),x69195),f191(f918(x69193,a905)))+~P1(f329(f329(f331(x69193),x69192),x69195))+~P1(f329(f329(f331(x69193),x69191),x69194)) % 166.52/166.36 [6997]~P23(x69972,x69975,x69971)+~P1(f329(f62(x69972),x69974))+E(f329(x69971,f329(f329(f311(x69972),x69973),x69974)),f329(f329(f65(x69972,x69972,x69975),x69973),x69974))+P1(f329(f329(f331(x69972),x69973),x69974)) % 166.52/166.36 [7065]~P5(x70652)+~P1(f329(f62(x70651),x70655))+E(f329(f329(f6(x70651,x70652),x70653),f329(f329(f311(x70651),x70654),x70655)),f329(f329(f82(x70652),f329(x70653,x70654)),f329(f329(f6(x70651,x70652),x70653),x70655)))+P1(f329(f329(f331(x70651),x70654),x70655)) % 166.52/166.36 [7067]~P80(x70672)+~P1(f329(f62(x70671),x70675))+E(f329(f329(f9(x70671,x70672),x70673),f329(f329(f311(x70671),x70674),x70675)),f329(f329(f83(x70672),f329(x70673,x70674)),f329(f329(f9(x70671,x70672),x70673),x70675)))+P1(f329(f329(f331(x70671),x70674),x70675)) % 166.52/166.36 [7579]~P23(x75792,x75795,x75791)+~P1(f329(f62(x75792),x75794))+E(f329(x75791,f329(f329(f311(x75792),x75793),x75794)),x75793)+~E(f329(f329(f23(f918(x75792,a905)),x75794),f329(f329(f311(x75792),x75793),f191(f918(x75792,a905)))),f191(f918(x75792,a905))) % 166.52/166.36 [7890]~P1(f329(x78901,x78903))+~P1(f329(f329(f197(x78902),x78903),x78905))+~P1(f329(f329(f197(f31(x78901,x78902)),x78905),x78904))+P1(f329(f329(f197(f31(x78901,x78902)),x78903),x78904)) % 166.52/166.36 [7945]~P103(x79451)+~P1(f329(f329(f239(x79451),x79453),x79455))+~P1(f329(f329(f239(x79451),x79452),x79454))+P1(f329(f329(f239(x79451),f329(f329(f115(x79451),x79452),x79453)),f329(f329(f115(x79451),x79454),x79455))) % 166.52/166.36 [7946]~P85(x79461)+~P1(f329(f329(f239(x79461),x79463),x79465))+~P1(f329(f329(f239(x79461),x79462),x79464))+P1(f329(f329(f239(x79461),f329(f329(f82(x79461),x79462),x79463)),f329(f329(f82(x79461),x79464),x79465))) % 166.52/166.36 [7947]~P104(x79471)+~P1(f329(f329(f239(x79471),x79473),x79475))+~P1(f329(f329(f239(x79471),x79472),x79474))+P1(f329(f329(f239(x79471),f329(f329(f106(x79471),x79472),x79473)),f329(f329(f106(x79471),x79474),x79475))) % 166.52/166.36 [7948]~P112(x79481)+~P1(f329(f329(f239(x79481),x79483),x79485))+~P1(f329(f329(f239(x79481),x79482),x79484))+P1(f329(f329(f239(x79481),f329(f329(f237(x79481),x79482),x79483)),f329(f329(f237(x79481),x79484),x79485))) % 166.52/166.36 [7949]~P112(x79491)+~P1(f329(f329(f239(x79491),x79493),x79495))+~P1(f329(f329(f239(x79491),x79492),x79494))+P1(f329(f329(f239(x79491),f329(f329(f238(x79491),x79492),x79493)),f329(f329(f238(x79491),x79494),x79495))) % 166.52/166.36 [7950]~P91(x79501)+~P1(f329(f329(f239(x79501),x79503),x79505))+~P1(f329(f329(f240(x79501),x79502),x79504))+P1(f329(f329(f240(x79501),f329(f329(f82(x79501),x79502),x79503)),f329(f329(f82(x79501),x79504),x79505))) % 166.52/166.36 [7951]~P91(x79511)+~P1(f329(f329(f239(x79511),x79512),x79514))+~P1(f329(f329(f240(x79511),x79513),x79515))+P1(f329(f329(f240(x79511),f329(f329(f82(x79511),x79512),x79513)),f329(f329(f82(x79511),x79514),x79515))) % 166.52/166.36 [7952]~P91(x79521)+~P1(f329(f329(f240(x79521),x79523),x79525))+~P1(f329(f329(f240(x79521),x79522),x79524))+P1(f329(f329(f240(x79521),f329(f329(f82(x79521),x79522),x79523)),f329(f329(f82(x79521),x79524),x79525))) % 166.52/166.36 [8090]~P146(x80905)+E(x80901,x80902)+E(x80903,x80904)+~E(f329(f329(f82(x80905),f329(f329(f83(x80905),x80903),x80901)),f329(f329(f83(x80905),x80904),x80902)),f329(f329(f82(x80905),f329(f329(f83(x80905),x80903),x80902)),f329(f329(f83(x80905),x80904),x80901))) % 166.52/166.36 [8238]P33(x82381,x82382,x82383)+~P34(x82381,x82384,x82385)+~P33(x82381,x82382,f556(x82385,x82384,x82381,x82382))+~P1(f329(f329(f331(f909(x82381)),x82383),x82385)) % 166.52/166.36 [8302]~P112(x83024)+~P1(f329(f140(x83021),x83023))+P1(f329(f329(f331(x83021),x83022),f329(f175(x83021),x83023)))+P1(f329(f140(x83021),f329(f329(f151(x83021,x83024,x83025),x83022),x83023))) % 166.52/166.36 [8451]~P5(x84511)+E(f329(f329(f82(x84511),f329(f329(f6(a910,x84511),x84512),f329(f304(a910,x84513),x84514))),f329(f329(f6(a910,x84511),x84512),f329(f304(a910,x84514),x84515))),f329(f329(f6(a910,x84511),x84512),f329(f304(a910,x84513),x84515)))+~P1(f329(f329(f239(a910),x84514),x84515))+~P1(f329(f329(f239(a910),x84513),x84514)) % 166.52/166.36 [8452]~P75(x84521)+E(f329(f329(f23(x84521),f329(f329(f6(a910,x84521),x84522),f329(f304(a910,x84523),x84524))),f329(f329(f6(a910,x84521),x84522),f329(f304(a910,x84523),x84525))),f329(f329(f6(a910,x84521),x84522),f329(f304(a910,x84525),x84524)))+~P1(f329(f329(f239(a910),x84525),x84524))+~P1(f329(f329(f239(a910),x84523),x84525)) % 166.52/166.36 [8788]~P72(x87882)+E(x87881,f2(x87882))+E(x87883,f2(x87882))+E(f329(f329(f292(x87882),f329(f329(f82(x87882),f329(f329(f83(x87882),x87884),x87881)),f329(f329(f83(x87882),x87885),x87883))),f329(f329(f83(x87882),x87883),x87881)),f329(f329(f82(x87882),f329(f329(f292(x87882),x87884),x87883)),f329(f329(f292(x87882),x87885),x87881))) % 166.52/166.36 [8789]~P72(x87892)+E(x87891,f2(x87892))+E(x87893,f2(x87892))+E(f329(f329(f292(x87892),f329(f329(f23(x87892),f329(f329(f83(x87892),x87894),x87891)),f329(f329(f83(x87892),x87895),x87893))),f329(f329(f83(x87892),x87893),x87891)),f329(f329(f23(x87892),f329(f329(f292(x87892),x87894),x87893)),f329(f329(f292(x87892),x87895),x87891))) % 166.52/166.36 [8797]~E(x87972,f329(x87973,x87971))+E(x87971,f429(x87972,x87973,x87974,x87975))+~P30(x87975,x87974,x87973,f247(f918(x87975,a905)))+~P1(f329(f329(f331(x87974),x87972),f329(f312(x87975,x87974,x87973),f247(f918(x87975,a905))))) % 166.52/166.36 [9000]~P123(x90001)+~P1(f329(f329(f240(x90001),f329(f77(x90001),x90002)),x90004))+P1(f329(f329(f240(x90001),f329(f329(f83(x90001),f329(f77(x90001),x90002)),f329(f77(x90001),x90003))),f329(f329(f83(x90001),x90004),x90005)))+~P1(f329(f329(f240(x90001),f329(f77(x90001),x90003)),x90005)) % 166.52/166.36 [9018]~P34(x90181,x90185,x90184)+P33(x90181,x90182,x90183)+P1(f329(f329(f331(f909(x90181)),f556(x90184,x90185,x90181,x90182)),x90185))+~P1(f329(f329(f331(f909(x90181)),x90183),x90184)) % 166.52/166.36 [9116]~P30(x91161,x91163,x91165,x91162)+~P1(f329(f62(x91163),x91164))+P1(f329(f329(f239(a910),f329(f36(x91161),x91162)),f329(f36(x91163),x91164)))+~P1(f329(f329(f239(f918(x91163,a905)),f329(f312(x91161,x91163,x91165),x91162)),x91164)) % 166.52/166.36 [9186]~P5(x91862)+~P30(x91861,x91861,x91864,x91865)+~P1(f329(f62(x91861),x91865))+E(f329(f329(f6(x91861,x91862),f329(f74(x91861,x91862,x91861,x91863),x91864)),x91865),f329(f329(f6(x91861,x91862),x91863),f329(f312(x91861,x91861,x91864),x91865))) % 166.52/166.36 [9187]~P80(x91872)+~P30(x91871,x91871,x91874,x91875)+~P1(f329(f62(x91871),x91875))+E(f329(f329(f9(x91871,x91872),f329(f74(x91871,x91872,x91871,x91873),x91874)),x91875),f329(f329(f9(x91871,x91872),x91873),f329(f312(x91871,x91871,x91874),x91875))) % 166.52/166.36 [9314]~P43(x93141,x93142)+~P1(f329(f329(f331(x93141),x93143),x93144))+~P1(f329(f329(f331(x93141),x93145),x93144))+~P1(f329(f329(f331(f917(x93141,x93141)),f329(f329(f257(x93141,x93141),x93145),f645(x93142,x93141,x93144))),x93142)) % 166.52/166.36 [9349]~P30(x93492,x93493,x93495,x93491)+E(x93491,f191(f918(x93492,a905)))+E(f329(f312(x93493,x93492,f703(x93494,x93493,x93492,x93491)),x93494),x93491)+~P1(f329(f329(f239(f918(x93493,a905)),f329(f312(x93492,x93493,x93495),x93491)),x93494)) % 166.52/166.36 [9830]~P112(x98305)+~P10(x98305)+P1(f329(f329(f331(x98301),f426(x98302,x98303,x98301,x98304,x98305)),x98303))+~P1(f329(f329(f240(x98305),x98304),f329(f329(f40(x98301,x98305),x98303),x98302))) % 166.52/166.36 [9835]~P112(x98351)+~P10(x98351)+P1(f329(f329(f240(x98351),x98352),f329(x98353,f426(x98353,x98354,x98355,x98352,x98351))))+~P1(f329(f329(f240(x98351),x98352),f329(f329(f40(x98355,x98351),x98354),x98353))) % 166.52/166.36 [9913]~P76(x99131)+~P1(f329(f67(x99131,x99131,f83(x99131),x99132,x99133),x99135))+P1(f329(f329(f331(x99131),x99132),x99133))+P1(f329(f67(x99131,x99131,f83(x99131),x99134,f329(f329(f311(x99131),x99132),x99133)),f329(f329(f83(x99131),x99134),x99135))) % 166.52/166.36 [10115]~P5(x101152)+~P1(f329(f62(x101151),x101155))+E(f329(f329(f6(x101151,x101152),f329(f329(f7(x101151,x101152,x101152),f329(f329(f18(x101151,x101152,f918(x101152,x101152)),f329(f329(f8(a905,f918(x101152,f918(x101152,x101152)),x101151),f99(x101152)),f329(a326,x101153))),x101154)),f2(x101152))),x101155),f2(x101152))+P1(f329(f329(f331(x101151),x101153),x101155)) % 166.52/166.36 [10116]~P80(x101162)+~P1(f329(f62(x101161),x101165))+E(f329(f329(f9(x101161,x101162),f329(f329(f7(x101161,x101162,x101162),f329(f329(f18(x101161,x101162,f918(x101162,x101162)),f329(f329(f8(a905,f918(x101162,f918(x101162,x101162)),x101161),f99(x101162)),f329(a326,x101163))),x101164)),f80(x101162))),x101165),f80(x101162))+P1(f329(f329(f331(x101161),x101163),x101165)) % 166.52/166.36 [10117]~P5(x101172)+~P1(f329(f62(x101171),x101175))+E(f329(f329(f6(x101171,x101172),f329(f329(f7(x101171,x101172,x101172),f329(f329(f18(x101171,x101172,f918(x101172,x101172)),f329(f329(f8(a905,f918(x101172,f918(x101172,x101172)),x101171),f99(x101172)),f329(a326,x101173))),x101174)),f2(x101172))),x101175),f329(x101174,x101173))+~P1(f329(f329(f331(x101171),x101173),x101175)) % 166.52/166.36 [10118]~P80(x101182)+~P1(f329(f62(x101181),x101185))+E(f329(f329(f9(x101181,x101182),f329(f329(f7(x101181,x101182,x101182),f329(f329(f18(x101181,x101182,f918(x101182,x101182)),f329(f329(f8(a905,f918(x101182,f918(x101182,x101182)),x101181),f99(x101182)),f329(a326,x101183))),x101184)),f80(x101182))),x101185),f329(x101184,x101183))+~P1(f329(f329(f331(x101181),x101183),x101185)) % 166.52/166.36 [10171]~P5(x101712)+~P1(f329(f62(x101711),x101715))+E(f329(f329(f6(x101711,x101712),f329(f329(f7(x101711,x101712,x101712),f329(f329(f18(x101711,x101712,f918(x101712,x101712)),f329(f329(f8(a905,f918(x101712,f918(x101712,x101712)),x101711),f99(x101712)),f329(f329(f7(x101711,x101711,a905),a326),x101713))),x101714)),f2(x101712))),x101715),f2(x101712))+P1(f329(f329(f331(x101711),x101713),x101715)) % 166.52/166.36 [10172]~P80(x101722)+~P1(f329(f62(x101721),x101725))+E(f329(f329(f9(x101721,x101722),f329(f329(f7(x101721,x101722,x101722),f329(f329(f18(x101721,x101722,f918(x101722,x101722)),f329(f329(f8(a905,f918(x101722,f918(x101722,x101722)),x101721),f99(x101722)),f329(f329(f7(x101721,x101721,a905),a326),x101723))),x101724)),f80(x101722))),x101725),f80(x101722))+P1(f329(f329(f331(x101721),x101723),x101725)) % 166.52/166.36 [10174]~P5(x101742)+~P1(f329(f62(x101741),x101745))+E(f329(f329(f6(x101741,x101742),f329(f329(f7(x101741,x101742,x101742),f329(f329(f18(x101741,x101742,f918(x101742,x101742)),f329(f329(f8(a905,f918(x101742,f918(x101742,x101742)),x101741),f99(x101742)),f329(f329(f7(x101741,x101741,a905),a326),x101743))),x101744)),f2(x101742))),x101745),f329(x101744,x101743))+~P1(f329(f329(f331(x101741),x101743),x101745)) % 166.52/166.36 [10175]~P80(x101752)+~P1(f329(f62(x101751),x101755))+E(f329(f329(f9(x101751,x101752),f329(f329(f7(x101751,x101752,x101752),f329(f329(f18(x101751,x101752,f918(x101752,x101752)),f329(f329(f8(a905,f918(x101752,f918(x101752,x101752)),x101751),f99(x101752)),f329(f329(f7(x101751,x101751,a905),a326),x101753))),x101754)),f80(x101752))),x101755),f329(x101754,x101753))+~P1(f329(f329(f331(x101751),x101753),x101755)) % 166.52/166.36 [7944]~P75(x79442)+~P1(f329(f62(x79441),x79444))+E(f329(f329(f6(x79441,x79442),x79443),f329(f329(f23(f918(x79441,a905)),x79444),f329(f329(f311(x79441),x79445),f191(f918(x79441,a905))))),f329(f329(f6(x79441,x79442),x79443),x79444))+P1(f329(f329(f331(x79441),x79445),x79444)) % 166.52/166.36 [8458]~P121(x84582)+~P1(f329(f62(x84581),x84584))+E(f329(f329(f6(x84581,x84582),x84583),f329(f329(f23(f918(x84581,a905)),x84584),f329(f329(f311(x84581),x84585),f191(f918(x84581,a905))))),f329(f329(f23(x84582),f329(f329(f6(x84581,x84582),x84583),x84584)),f329(x84583,x84585)))+~P1(f329(f329(f331(x84581),x84585),x84584)) % 166.52/166.36 [8459]~P75(x84592)+~P1(f329(f62(x84591),x84594))+E(f329(f329(f6(x84591,x84592),x84593),f329(f329(f23(f918(x84591,a905)),x84594),f329(f329(f311(x84591),x84595),f191(f918(x84591,a905))))),f329(f329(f23(x84592),f329(f329(f6(x84591,x84592),x84593),x84594)),f329(x84593,x84595)))+~P1(f329(f329(f331(x84591),x84595),x84594)) % 166.52/166.36 [8487]~P75(x84871)+~P1(f329(f62(x84872),x84874))+E(f329(f329(f23(x84871),f329(f329(f6(x84872,x84871),x84873),x84874)),f329(f329(f6(x84872,x84871),x84873),x84875)),f329(f329(f6(x84872,x84871),x84873),f329(f329(f23(f918(x84872,a905)),x84874),x84875)))+~P1(f329(f329(f239(f918(x84872,a905)),x84875),x84874)) % 166.52/166.36 [8507]P1(f329(f62(x85071),f329(x85072,x85073)))+~P1(f329(f62(x85074),x85075))+~P1(f329(f329(f331(x85074),x85073),x85075))+~P1(f329(f62(x85071),f329(f329(f40(x85074,f918(x85071,a905)),x85075),x85072))) % 166.52/166.36 [8629]~P103(x86295)+~P103(x86291)+~P46(x86295,x86291,x86292)+P1(f329(f329(f239(x86291),f329(f329(f115(x86291),f329(x86292,x86293)),f329(x86292,x86294))),f329(x86292,f329(f329(f115(x86295),x86293),x86294)))) % 166.52/166.36 [8630]~P103(x86301)+~P112(x86305)+~P46(x86305,x86301,x86302)+P1(f329(f329(f239(x86301),f329(f329(f115(x86301),f329(x86302,x86303)),f329(x86302,x86304))),f329(x86302,f329(f329(f238(x86305),x86303),x86304)))) % 166.52/166.36 [8957]~P13(x89571,x89575,x89574)+~E(f329(f288(x89571,x89571,x89574),f329(f329(f311(x89571),x89572),f191(f918(x89571,a905)))),f329(f288(x89571,x89571,x89574),f329(f329(f311(x89571),x89573),f191(f918(x89571,a905)))))+~P1(f329(f329(f331(x89571),x89573),x89575))+P1(f329(f329(f331(f917(x89571,x89571)),f329(f329(f257(x89571,x89571),x89572),x89573)),x89574)) % 166.52/166.36 [9268]~P1(f329(x92681,x92685))+P1(f329(x92681,f352(x92681,x92682,x92683,x92684)))+P1(f329(x92681,f903(x92681,x92682,x92683,x92684)))+~P1(f329(f329(f331(x92684),x92685),f329(f329(f115(f918(x92684,a905)),x92683),x92682))) % 166.52/166.36 [9451]~P1(f329(x94511,x94515))+P1(f329(x94511,f903(x94511,x94512,x94513,x94514)))+P1(f329(f329(f331(x94514),f352(x94511,x94512,x94513,x94514)),x94512))+~P1(f329(f329(f331(x94514),x94515),f329(f329(f115(f918(x94514,a905)),x94513),x94512))) % 166.52/166.36 [9452]~P1(f329(x94521,x94525))+P1(f329(x94521,f352(x94521,x94522,x94523,x94524)))+P1(f329(f329(f331(x94524),f903(x94521,x94522,x94523,x94524)),x94523))+~P1(f329(f329(f331(x94524),x94525),f329(f329(f115(f918(x94524,a905)),x94523),x94522))) % 166.52/166.36 [9456]P1(f329(x94561,x94562))+~P1(f329(x94561,f894(x94561,x94563,x94564,x94565)))+~P1(f329(x94561,f884(x94561,x94563,x94564,x94565)))+~P1(f329(f329(f331(x94565),x94562),f329(f329(f115(f918(x94565,a905)),x94564),x94563))) % 166.52/166.36 [9461]~P44(x94611,x94614)+~P1(f329(f329(f331(f917(x94611,x94611)),f329(f329(f257(x94611,x94611),x94612),x94615)),x94614))+P1(f329(f329(f331(f917(x94611,x94611)),f329(f329(f257(x94611,x94611),x94612),x94613)),x94614))+~P1(f329(f329(f331(f917(x94611,x94611)),f329(f329(f257(x94611,x94611),x94615),x94613)),x94614)) % 166.52/166.36 [9499]E(x94991,x94992)+~P1(f329(f329(f331(f917(x94993,x94993)),f329(f329(f257(x94993,x94993),x94991),x94992)),f309(x94993,x94995)))+P1(f329(f329(f331(x94993),x94991),x94994))+~P1(f329(f329(f239(f918(f917(x94993,x94993),a905)),x94995),f329(f329(f259(x94993,x94993),x94994),f329(f16(f918(x94993,a905),x94993),x94994)))) % 166.52/166.36 [9517]P1(f329(x95171,x95172))+~P1(f329(x95171,f884(x95171,x95174,x95175,x95173)))+P1(f329(f329(f331(x95173),f894(x95171,x95174,x95175,x95173)),x95174))+~P1(f329(f329(f331(x95173),x95172),f329(f329(f115(f918(x95173,a905)),x95175),x95174))) % 166.52/166.36 [9518]P1(f329(x95181,x95182))+~P1(f329(x95181,f894(x95181,x95184,x95185,x95183)))+P1(f329(f329(f331(x95183),f884(x95181,x95184,x95185,x95183)),x95185))+~P1(f329(f329(f331(x95183),x95182),f329(f329(f115(f918(x95183,a905)),x95185),x95184))) % 166.52/166.36 [9584]P1(f329(x95841,x95842))+P1(f329(f329(f331(x95843),f894(x95841,x95844,x95845,x95843)),x95844))+P1(f329(f329(f331(x95843),f884(x95841,x95844,x95845,x95843)),x95845))+~P1(f329(f329(f331(x95843),x95842),f329(f329(f115(f918(x95843,a905)),x95845),x95844))) % 166.52/166.36 [9586]~P1(f329(x95862,x95865))+P1(f329(f329(f331(x95861),f352(x95862,x95863,x95864,x95861)),x95863))+P1(f329(f329(f331(x95861),f903(x95862,x95863,x95864,x95861)),x95864))+~P1(f329(f329(f331(x95861),x95865),f329(f329(f115(f918(x95861,a905)),x95864),x95863))) % 166.52/166.36 [9736]~P13(x97361,x97365,x97364)+~P1(f329(f329(f331(x97361),x97363),x97365))+P1(f329(f329(f331(f917(x97361,x97361)),f329(f329(f257(x97361,x97361),x97362),x97363)),x97364))+~P1(f329(f329(f239(f918(x97361,a905)),f329(f288(x97361,x97361,x97364),f329(f329(f311(x97361),x97363),f191(f918(x97361,a905))))),f329(f288(x97361,x97361,x97364),f329(f329(f311(x97361),x97362),f191(f918(x97361,a905)))))) % 166.52/166.36 [9863]~P112(x98635)+~P10(x98635)+P1(f329(f329(f331(x98631),f633(x98632,x98633,x98634,x98631,x98635)),x98634))+~P1(f329(f329(f240(x98635),f329(f329(f41(x98631,x98635),x98634),x98633)),x98632)) % 166.52/166.36 [9896]~P4(x98965)+~P85(x98965)+P1(f329(f329(f331(x98961),f717(x98962,x98963,x98964,x98961,x98965)),f329(f175(x98961),x98964)))+P1(f329(f329(f239(x98965),f329(f168(x98965),f329(f329(f157(x98961,x98965),x98963),x98964))),f329(f168(x98965),f329(f329(f157(x98961,x98965),x98962),x98964)))) % 166.52/166.36 [10003]~P112(x100031)+~P10(x100031)+P1(f329(f329(f240(x100031),f329(x100032,f633(x100033,x100032,x100034,x100035,x100031))),x100033))+~P1(f329(f329(f240(x100031),f329(f329(f41(x100035,x100031),x100034),x100032)),x100033)) % 166.52/166.36 [10133]~P4(x101331)+~P85(x101331)+~P1(f329(f329(f239(x101331),f329(x101333,f717(x101335,x101333,x101334,x101332,x101331))),f329(x101335,f717(x101335,x101333,x101334,x101332,x101331))))+P1(f329(f329(f239(x101331),f329(f168(x101331),f329(f329(f157(x101332,x101331),x101333),x101334))),f329(f168(x101331),f329(f329(f157(x101332,x101331),x101335),x101334)))) % 166.52/166.36 [8805]~P5(x88051)+~P1(f329(f62(x88054),x88055))+~P1(f329(f329(f331(x88054),x88053),x88055))+E(f329(f329(f82(x88051),f329(x88052,x88053)),f329(f329(f6(x88054,x88051),x88052),f329(f329(f23(f918(x88054,a905)),x88055),f329(f329(f311(x88054),x88053),f191(f918(x88054,a905)))))),f329(f329(f6(x88054,x88051),x88052),x88055)) % 166.52/166.36 [8806]~P80(x88061)+~P1(f329(f62(x88064),x88065))+~P1(f329(f329(f331(x88064),x88063),x88065))+E(f329(f329(f83(x88061),f329(x88062,x88063)),f329(f329(f9(x88064,x88061),x88062),f329(f329(f23(f918(x88064,a905)),x88065),f329(f329(f311(x88064),x88063),f191(f918(x88064,a905)))))),f329(f329(f9(x88064,x88061),x88062),x88065)) % 166.52/166.36 [8862]~P23(x88621,x88624,x88625)+~P1(f329(f62(x88621),x88622))+E(f329(f329(f23(f918(x88621,a905)),x88622),f329(f329(f311(x88621),x88623),f191(f918(x88621,a905)))),f191(f918(x88621,a905)))+E(f329(f329(x88624,x88623),f329(x88625,f329(f329(f23(f918(x88621,a905)),x88622),f329(f329(f311(x88621),x88623),f191(f918(x88621,a905)))))),f329(x88625,f329(f329(f311(x88621),x88623),x88622))) % 166.52/166.36 [9239]~P5(x92391)+~P1(f329(f62(x92392),x92395))+~P1(f329(f62(x92392),x92394))+E(f329(f329(f82(x92391),f329(f329(f6(x92392,x92391),x92393),f329(f329(f115(f918(x92392,a905)),x92394),x92395))),f329(f329(f6(x92392,x92391),x92393),f329(f329(f106(f918(x92392,a905)),x92394),x92395))),f329(f329(f82(x92391),f329(f329(f6(x92392,x92391),x92393),x92394)),f329(f329(f6(x92392,x92391),x92393),x92395))) % 166.52/166.36 [9241]~P80(x92411)+~P1(f329(f62(x92412),x92415))+~P1(f329(f62(x92412),x92414))+E(f329(f329(f83(x92411),f329(f329(f9(x92412,x92411),x92413),f329(f329(f115(f918(x92412,a905)),x92414),x92415))),f329(f329(f9(x92412,x92411),x92413),f329(f329(f106(f918(x92412,a905)),x92414),x92415))),f329(f329(f83(x92411),f329(f329(f9(x92412,x92411),x92413),x92414)),f329(f329(f9(x92412,x92411),x92413),x92415))) % 166.52/166.36 [9386]~P75(x93861)+~P1(f329(f62(x93862),x93865))+~P1(f329(f62(x93862),x93864))+E(f329(f329(f23(x93861),f329(f329(f82(x93861),f329(f329(f6(x93862,x93861),x93863),x93864)),f329(f329(f6(x93862,x93861),x93863),x93865))),f329(f329(f6(x93862,x93861),x93863),f329(f329(f106(f918(x93862,a905)),x93864),x93865))),f329(f329(f6(x93862,x93861),x93863),f329(f329(f115(f918(x93862,a905)),x93864),x93865))) % 166.52/166.36 [9597]~P30(x95971,x95972,x95973,x95975)+~P30(x95971,x95972,x95973,x95974)+P30(x95971,x95972,x95973,f329(f329(f115(f918(x95971,a905)),x95974),x95975))+~E(f329(f329(f106(f918(x95972,a905)),f329(f312(x95971,x95972,x95973),f329(f329(f23(f918(x95971,a905)),x95974),x95975))),f329(f312(x95971,x95972,x95973),f329(f329(f23(f918(x95971,a905)),x95975),x95974))),f191(f918(x95972,a905))) % 166.52/166.36 [9710]E(x97101,f2(a1))+~P1(f329(f329(f240(a1),f2(a1)),x97103))+~P1(f329(f50(x97102,x97101),f329(f329(f257(a1,a1),x97104),x97105)))+P1(f329(f50(x97102,f329(f329(f83(a1),x97101),x97103)),f329(f329(f257(a1,a1),f329(f329(f37(a1),x97104),x97103)),f329(f329(f82(a1),f329(f329(f83(a1),x97101),f46(a1,x97104,x97103))),x97105)))) % 166.52/166.36 [9718]~P1(f329(f329(f240(a910),f2(a910)),x97183))+~P1(f329(f329(f240(a910),f2(a910)),x97182))+~P1(f329(f49(x97181,x97182),f329(f329(f257(a910,a910),x97184),x97185)))+P1(f329(f49(x97181,f329(f329(f83(a910),x97182),x97183)),f329(f329(f257(a910,a910),f329(f329(f37(a910),x97184),x97183)),f329(f329(f82(a910),f329(f329(f83(a910),x97182),f46(a910,x97184,x97183))),x97185)))) % 166.52/166.36 [9769]~P80(x97691)+~P1(f329(f62(x97692),x97695))+~P1(f329(f62(x97692),x97694))+E(f329(f329(f83(x97691),f329(f329(f329(f66(x97691,x97692,f83(x97691)),x97693),f80(x97691)),f329(f329(f115(f918(x97692,a905)),x97694),x97695))),f329(f329(f329(f66(x97691,x97692,f83(x97691)),x97693),f80(x97691)),f329(f329(f106(f918(x97692,a905)),x97694),x97695))),f329(f329(f83(x97691),f329(f329(f329(f66(x97691,x97692,f83(x97691)),x97693),f80(x97691)),x97694)),f329(f329(f329(f66(x97691,x97692,f83(x97691)),x97693),f80(x97691)),x97695))) % 166.52/166.36 [9771]~E(f329(f329(f178(x97711),x97715),x97712),f329(f329(f178(x97711),x97715),x97713))+P1(f329(f329(f331(f917(f911(x97711),f911(x97711))),f329(f329(f257(f911(x97711),f911(x97711)),x97712),x97713)),f150(x97711,x97714)))+~P1(f329(f329(f240(a910),x97715),f329(f329(f237(a910),f329(f192(f911(x97711)),x97712)),f329(f192(f911(x97711)),x97713))))+~P1(f329(f329(f331(f917(x97711,x97711)),f329(f329(f257(x97711,x97711),f329(f329(f167(x97711),x97712),x97715)),f329(f329(f167(x97711),x97713),x97715))),x97714)) % 166.52/166.36 [9885]~P109(x98855)+~P85(x98855)+P1(f329(f329(f331(x98851),f344(x98852,x98853,x98854,x98851,x98855)),x98854))+P1(f329(f329(f239(x98855),f329(f329(f6(x98851,x98855),x98853),x98854)),f329(f329(f83(x98855),f329(f105(x98855),f329(f36(x98851),x98854))),x98852))) % 166.52/166.36 [10062]~P109(x100621)+~P85(x100621)+~P1(f329(f329(f239(x100621),f329(x100623,f344(x100625,x100623,x100624,x100622,x100621))),x100625))+P1(f329(f329(f239(x100621),f329(f329(f6(x100622,x100621),x100623),x100624)),f329(f329(f83(x100621),f329(f105(x100621),f329(f36(x100622),x100624))),x100625))) % 166.52/166.36 [8834]E(f329(f329(f137(x88341),x88342),x88343),f329(f329(f137(x88341),x88344),x88345))+~E(f329(f329(f178(x88341),f329(f192(f911(x88341)),x88342)),x88344),x88342)+~E(f329(f329(f137(x88341),f329(f329(f141(x88341),f329(f192(f911(x88341)),x88342)),x88344)),x88345),x88343)+P1(f329(f329(f239(a910),f329(f192(f911(x88341)),x88344)),f329(f192(f911(x88341)),x88342))) % 166.52/166.36 [8956]E(f329(f329(f137(x89561),x89562),x89563),f329(f329(f137(x89561),x89564),x89565))+~E(f329(f329(f178(x89561),f329(f192(f911(x89561)),x89562)),x89564),x89562)+~E(x89563,f329(f329(f137(x89561),f329(f329(f141(x89561),f329(f192(f911(x89561)),x89562)),x89564)),x89565))+~P1(f329(f329(f239(a910),f329(f192(f911(x89561)),x89562)),f329(f192(f911(x89561)),x89564))) % 166.52/166.36 [10194]~P1(f329(x101945,x101944))+~P1(f329(f62(x101942),f329(f267(x101942),x101945)))+P1(f329(f62(x101941),f329(f267(x101941),f329(f329(f7(x101941,x101942,a905),x101943),x101944))))+~P1(f329(f62(x101941),f329(f267(x101941),f329(f329(f8(f918(x101942,a905),a905,x101941),f89(x101942)),f329(f329(f8(f918(x101942,a905),f918(x101942,a905),x101941),f329(f18(x101942,a905,a905),f329(f329(f8(a905,f918(a905,a905),x101942),a327),x101945))),x101943))))) % 166.52/166.36 [10265]~P1(f329(f62(x102652),x102655))+~P1(f329(f329(f331(x102652),x102654),x102655))+P1(f329(f62(x102651),f329(f267(x102651),f329(f329(f7(x102651,x102652,a905),x102653),x102654))))+~P1(f329(f62(x102651),f329(f267(x102651),f329(f329(f8(f918(x102652,a905),a905,x102651),f89(x102652)),f329(f329(f8(f918(x102652,a905),f918(x102652,a905),x102651),f329(f18(x102652,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102652),a327),f329(f329(f7(x102652,f918(x102652,a905),a905),f331(x102652)),x102655)))),x102653))))) % 166.52/166.36 [8094]~P48(x80942,x80943,x80944,x80946)+~P48(f31(x80941,x80942),x80946,x80944,x80945)+P48(f31(x80941,x80942),x80943,x80944,x80945)+~P1(f329(x80941,x80943)) % 166.52/166.36 [8627]~P24(x86275,x86271,x86276,x86272)+E(f329(f74(x86271,x86271,x86271,f329(x86272,x86273)),f329(x86272,x86274)),f329(f74(x86271,x86271,x86271,f329(x86272,x86274)),f329(x86272,x86273)))+~P1(f329(f62(x86275),x86274))+~P1(f329(f62(x86275),x86273)) % 166.52/166.36 [8000]~P30(x80001,x80002,x80004,x80003)+~E(f329(x80004,x80006),x80005)+E(f329(f79(x80001,x80002,x80003,x80004),x80005),x80006)+~P1(f329(f329(f331(x80001),x80006),x80003)) % 166.52/166.36 [8001]~P30(x80011,x80012,x80014,x80013)+~E(f329(x80014,x80016),x80015)+E(f329(f94(x80011,x80012,x80013,x80014),x80015),x80016)+~P1(f329(f329(f331(x80011),x80016),x80013)) % 166.52/166.36 [8205]~P25(x82056,x82051,x82054,x82052)+E(f329(f74(x82051,x82051,x82051,f329(x82052,x82053)),f329(x82054,x82055)),f329(x82052,x82053))+~P1(f329(f62(x82056),x82053))+~P1(f329(f329(f331(x82056),x82055),x82053)) % 166.52/166.36 [9341]E(x93411,x93412)+~E(f329(f94(x93413,x93414,x93415,x93416),x93411),f329(f94(x93413,x93414,x93415,x93416),x93412))+~P1(f329(f329(f331(x93414),x93412),f329(f312(x93413,x93414,x93416),x93415)))+~P1(f329(f329(f331(x93414),x93411),f329(f312(x93413,x93414,x93416),x93415))) % 166.52/166.36 [9435]~P24(x94353,x94351,x94356,x94352)+E(f329(f74(x94351,x94351,x94351,f329(x94352,f329(f329(f23(f918(x94353,a905)),x94354),f329(f329(f311(x94353),x94355),f191(f918(x94353,a905)))))),f329(x94356,x94355)),f329(x94352,x94354))+~P1(f329(f62(x94353),x94354))+~P1(f329(f329(f331(x94353),x94355),x94354)) % 166.52/166.36 [7070]~P68(x70701)+~E(f46(x70701,x70703,x70704),f46(x70701,x70706,x70704))+~E(f46(x70701,x70702,x70704),f46(x70701,x70705,x70704))+E(f46(x70701,f329(f329(f82(x70701),x70702),x70703),x70704),f46(x70701,f329(f329(f82(x70701),x70705),x70706),x70704)) % 166.52/166.36 [7071]~P69(x70711)+~E(f46(x70711,x70713,x70714),f46(x70711,x70716,x70714))+~E(f46(x70711,x70712,x70714),f46(x70711,x70715,x70714))+E(f46(x70711,f329(f329(f23(x70711),x70712),x70713),x70714),f46(x70711,f329(f329(f23(x70711),x70715),x70716),x70714)) % 166.52/166.36 [7072]~P68(x70721)+~E(f46(x70721,x70723,x70724),f46(x70721,x70726,x70724))+~E(f46(x70721,x70722,x70724),f46(x70721,x70725,x70724))+E(f46(x70721,f329(f329(f83(x70721),x70722),x70723),x70724),f46(x70721,f329(f329(f83(x70721),x70725),x70726),x70724)) % 166.52/166.36 [7891]~P21(x78911,x78912,x78913)+~P1(f329(f62(x78911),x78916))+E(f329(f329(f65(x78911,x78912,x78913),x78914),f329(f329(f311(x78911),x78915),x78916)),f329(f329(f65(x78911,x78912,x78913),f329(f329(x78913,x78915),x78914)),x78916))+P1(f329(f329(f331(x78911),x78915),x78916)) % 166.52/166.36 [7959]~P10(x79591)+P1(f329(f329(f239(x79591),x79592),f329(x79593,x79594)))+~P1(f329(f329(f331(x79595),x79594),x79596))+~P1(f329(f329(f239(x79591),x79592),f329(f329(f41(x79595,x79591),x79596),x79593))) % 166.52/166.36 [8122]~P21(x81221,x81222,x81223)+~P1(f329(f62(x81221),x81226))+E(f329(f329(f65(x81221,x81222,x81223),x81224),f329(f329(f311(x81221),x81225),x81226)),f329(f329(x81223,x81225),f329(f329(f65(x81221,x81222,x81223),x81224),x81226)))+P1(f329(f329(f331(x81221),x81225),x81226)) % 166.52/166.36 [8223]~P112(x82233)+~P1(f329(x82232,x82235))+~P18(x82233,f329(f329(f157(x82231,x82233),x82234),x82236))+E(f329(f139(x82231,x82232),f329(f329(f151(x82231,x82233,x82234),x82235),x82236)),f329(f329(f151(x82231,x82233,x82234),x82235),f329(f139(x82231,x82232),x82236))) % 166.52/166.36 [8246]E(x82461,x82462)+E(x82463,f2(a1))+~P1(f329(f50(x82464,x82463),f329(f329(f257(a1,a1),x82465),x82462)))+~P1(f329(f50(x82464,x82463),f329(f329(f257(a1,a1),x82466),x82461))) % 166.52/166.36 [8247]E(x82471,x82472)+E(x82473,f2(a1))+~P1(f329(f50(x82474,x82473),f329(f329(f257(a1,a1),x82472),x82475)))+~P1(f329(f50(x82474,x82473),f329(f329(f257(a1,a1),x82471),x82476))) % 166.52/166.36 [8266]~P24(x82662,x82665,x82666,x82661)+~P1(f329(f62(x82662),x82664))+E(f329(x82661,f329(f329(f311(x82662),x82663),x82664)),f329(f74(x82665,x82665,x82665,f329(x82661,x82664)),f329(x82666,x82663)))+P1(f329(f329(f331(x82662),x82663),x82664)) % 166.52/166.36 [8490]~P25(x84905,x84901,x84906,x84902)+E(f329(f74(x84901,x84901,x84901,f329(x84902,x84903)),f329(x84902,x84904)),f329(x84902,x84903))+~P1(f329(f62(x84905),x84903))+~P1(f329(f329(f239(f918(x84905,a905)),x84904),x84903)) % 166.52/166.36 [9641]~P30(x96411,x96412,x96414,x96413)+~P1(f329(f329(f331(x96412),x96415),f329(f312(x96411,x96412,x96414),x96413)))+P1(f329(f329(f331(x96411),f329(f79(x96411,x96412,x96413,x96414),x96415)),x96416))+~P1(f329(f329(f239(f918(x96411,a905)),x96413),x96416)) % 166.52/166.36 [10014]~P5(x100142)+~E(f873(x100141,x100143,x100145,x100146,x100144,x100142),f874(x100141,x100143,x100145,x100146,x100144,x100142))+~P1(f329(f62(x100144),x100146))+E(f329(f329(f6(x100141,x100142),x100143),f329(f312(x100144,x100141,x100145),x100146)),f329(f329(f6(x100144,x100142),f329(f74(x100141,x100142,x100144,x100143),x100145)),x100146)) % 166.52/166.36 [10044]~P5(x100446)+E(f329(x100441,f873(x100442,x100443,x100441,x100444,x100445,x100446)),f329(x100441,f874(x100442,x100443,x100441,x100444,x100445,x100446)))+E(f329(f329(f6(x100442,x100446),x100443),f329(f312(x100445,x100442,x100441),x100444)),f329(f329(f6(x100445,x100446),f329(f74(x100442,x100446,x100445,x100443),x100441)),x100444))+~P1(f329(f62(x100445),x100444)) % 166.52/166.36 [10083]~P5(x100832)+~E(f329(x100833,f329(x100835,f874(x100831,x100833,x100835,x100836,x100834,x100832))),f2(x100832))+~P1(f329(f62(x100834),x100836))+E(f329(f329(f6(x100831,x100832),x100833),f329(f312(x100834,x100831,x100835),x100836)),f329(f329(f6(x100834,x100832),f329(f74(x100831,x100832,x100834,x100833),x100835)),x100836)) % 166.52/166.36 [10141]~P5(x101412)+~P1(f329(f62(x101414),x101416))+E(f329(f329(f6(x101411,x101412),x101413),f329(f312(x101414,x101411,x101415),x101416)),f329(f329(f6(x101414,x101412),f329(f74(x101411,x101412,x101414,x101413),x101415)),x101416))+P1(f329(f329(f331(x101414),f874(x101411,x101413,x101415,x101416,x101414,x101412)),x101416)) % 166.52/166.36 [10142]~P5(x101422)+~P1(f329(f62(x101424),x101426))+E(f329(f329(f6(x101421,x101422),x101423),f329(f312(x101424,x101421,x101425),x101426)),f329(f329(f6(x101424,x101422),f329(f74(x101421,x101422,x101424,x101423),x101425)),x101426))+P1(f329(f329(f331(x101424),f873(x101421,x101423,x101425,x101426,x101424,x101422)),x101426)) % 166.52/166.36 [10219]~P46(f918(f917(x102194,x102195),a905),f918(f917(x102194,x102195),a905),x102196)+~P1(f329(f329(x102191,f526(x102191,x102196,x102193,x102192,x102195,x102194)),f530(x102191,x102196,x102193,x102192,x102195,x102194)))+P1(f329(f329(x102191,x102192),x102193))+~P1(f329(f329(f331(f917(x102194,x102195)),f329(f329(f257(x102194,x102195),x102192),x102193)),f100(f918(f917(x102194,x102195),a905),x102196))) % 166.52/166.36 [10264]~P80(x102641)+~P1(f329(f62(x102642),x102646))+E(f329(f329(f329(f66(x102641,x102642,f83(x102641)),f329(f329(f18(x102642,f918(x102643,a905),x102641),f329(f329(f7(x102642,x102641,f918(f918(x102643,a905),x102641)),f329(f329(f8(f918(x102643,x102641),f918(x102641,f918(f918(x102643,a905),x102641)),x102642),f66(x102641,x102643,f83(x102641))),x102644)),f80(x102641))),x102645)),f80(x102641)),x102646),f329(f329(f329(f66(x102641,f917(x102642,x102643),f83(x102641)),f329(f262(x102642,x102643,x102641),x102644)),f80(x102641)),f329(f329(f259(x102642,x102643),x102646),x102645)))+P1(f329(f329(f331(x102642),f559(x102644,x102645,x102643,x102646,x102642,x102641)),x102646)) % 166.52/166.36 [10285]~P80(x102851)+~P1(f329(f62(x102852),x102856))+E(f329(f329(f329(f66(x102851,x102852,f83(x102851)),f329(f329(f18(x102852,f918(x102853,a905),x102851),f329(f329(f7(x102852,x102851,f918(f918(x102853,a905),x102851)),f329(f329(f8(f918(x102853,x102851),f918(x102851,f918(f918(x102853,a905),x102851)),x102852),f66(x102851,x102853,f83(x102851))),x102854)),f80(x102851))),x102855)),f80(x102851)),x102856),f329(f329(f329(f66(x102851,f917(x102852,x102853),f83(x102851)),f329(f262(x102852,x102853,x102851),x102854)),f80(x102851)),f329(f329(f259(x102852,x102853),x102856),x102855)))+~P1(f329(f62(x102853),f329(x102855,f559(x102854,x102855,x102853,x102856,x102852,x102851)))) % 166.52/166.36 [8400]~P25(x84002,x84005,x84006,x84001)+~P1(f329(f62(x84002),x84004))+~P1(f329(f62(x84002),x84003))+E(f329(x84001,f329(f329(f115(f918(x84002,a905)),x84003),x84004)),f329(f74(x84005,x84005,x84005,f329(x84001,x84003)),f329(x84001,x84004))) % 166.52/166.36 [8628]~P10(x86281)+P1(f329(f329(f239(x86281),f329(x86282,x86283)),x86284))+~P1(f329(f329(f331(x86285),x86283),x86286))+~P1(f329(f329(f239(x86281),f329(f329(f40(x86285,x86281),x86286),x86282)),x86284)) % 166.52/166.36 [9044]~P30(x90442,x90441,x90443,x90446)+E(f329(f329(f23(f918(x90441,a905)),f329(f312(x90442,x90441,x90443),x90444)),f329(f312(x90442,x90441,x90443),x90445)),f329(f312(x90442,x90441,x90443),f329(f329(f23(f918(x90442,a905)),x90444),x90445)))+~P1(f329(f329(f239(f918(x90442,a905)),x90445),x90446))+~P1(f329(f329(f239(f918(x90442,a905)),x90444),x90446)) % 166.52/166.36 [9045]~P30(x90452,x90451,x90453,x90456)+E(f329(f329(f106(f918(x90451,a905)),f329(f312(x90452,x90451,x90453),x90454)),f329(f312(x90452,x90451,x90453),x90455)),f329(f312(x90452,x90451,x90453),f329(f329(f106(f918(x90452,a905)),x90454),x90455)))+~P1(f329(f329(f239(f918(x90452,a905)),x90455),x90456))+~P1(f329(f329(f239(f918(x90452,a905)),x90454),x90456)) % 166.52/166.36 [9316]E(x93161,x93162)+~P62(x93163,x93164,x93165)+~P1(f329(f329(f331(f917(x93163,x93164)),f329(f329(f257(x93163,x93164),x93166),x93162)),x93165))+~P1(f329(f329(f331(f917(x93163,x93164)),f329(f329(f257(x93163,x93164),x93166),x93161)),x93165)) % 166.52/166.36 [10079]~P76(x100791)+~E(f329(x100793,f490(x100794,x100796,x100793,x100795,x100792,x100791)),f329(x100796,f490(x100794,x100796,x100793,x100795,x100792,x100791)))+~P1(f329(f62(x100792),x100795))+E(f329(f329(f329(f66(x100791,x100792,f83(x100791)),x100793),x100794),x100795),f329(f329(f329(f66(x100791,x100792,f83(x100791)),x100796),x100794),x100795)) % 166.52/166.36 [10139]~P76(x101391)+~P1(f329(f62(x101392),x101395))+E(f329(f329(f329(f66(x101391,x101392,f83(x101391)),x101393),x101394),x101395),f329(f329(f329(f66(x101391,x101392,f83(x101391)),x101396),x101394),x101395))+P1(f329(f329(f331(x101392),f490(x101394,x101393,x101396,x101395,x101392,x101391)),x101395)) % 166.52/166.36 [8847]~P76(x88471)+~P1(f329(f62(x88472),x88476))+P1(f329(f329(f331(x88472),x88475),x88476))+E(f329(f329(f329(f66(x88471,x88472,f83(x88471)),x88473),x88474),f329(f329(f311(x88472),x88475),x88476)),f329(f329(f83(x88471),f329(x88473,x88475)),f329(f329(f329(f66(x88471,x88472,f83(x88471)),x88473),x88474),x88476))) % 166.52/166.36 [8895]~P13(x88951,x88956,x88953)+~P16(x88951,f918(x88952,a905),x88953,x88955)+~P1(f329(f329(f331(x88951),x88954),x88956))+E(f329(f329(f40(x88951,f918(x88952,a905)),f329(f288(x88951,x88951,x88953),f329(f329(f311(x88951),x88954),f191(f918(x88951,a905))))),x88955),f329(x88955,x88954)) % 166.52/166.36 [9019]~P21(x90193,x90194,x90191)+~P1(f329(f62(x90193),x90196))+~P1(f329(f329(f331(x90193),x90192),x90196))+E(f329(f329(x90191,x90192),f329(f329(f65(x90193,x90194,x90191),x90195),f329(f329(f23(f918(x90193,a905)),x90196),f329(f329(f311(x90193),x90192),f191(f918(x90193,a905)))))),f329(f329(f65(x90193,x90194,x90191),x90195),x90196)) % 166.52/166.36 [9327]~P24(x93273,x93271,x93276,x93272)+~P1(f329(f62(x93273),x93275))+~P1(f329(f62(x93273),x93274))+E(f329(f74(x93271,x93271,x93271,f329(x93272,f329(f329(f115(f918(x93273,a905)),x93274),x93275))),f329(x93272,f329(f329(f106(f918(x93273,a905)),x93274),x93275))),f329(f74(x93271,x93271,x93271,f329(x93272,x93274)),f329(x93272,x93275))) % 166.52/166.36 [10293]~P46(f918(f917(x102934,x102935),a905),f918(f917(x102934,x102935),a905),x102936)+P1(f329(f329(x102931,x102932),x102933))+~P1(f329(f329(f331(f917(x102934,x102935)),f329(f329(f257(x102934,x102935),x102932),x102933)),f100(f918(f917(x102934,x102935),a905),x102936)))+P1(f329(f329(f331(f917(x102934,x102935)),f329(f329(f257(x102934,x102935),f526(x102931,x102936,x102933,x102932,x102935,x102934)),f530(x102931,x102936,x102933,x102932,x102935,x102934))),f329(x102936,f329(f329(f106(f918(f917(x102934,x102935),a905)),f100(f918(f917(x102934,x102935),a905),x102936)),f329(f267(f917(x102934,x102935)),f329(f262(x102934,x102935,a905),x102931)))))) % 166.52/166.36 [9663]~E(x96633,f329(f329(f162(x96631,x96632),x96635),x96636))+P1(f329(f329(f331(f917(f911(x96631),f911(x96631))),f329(f329(f257(f911(x96631),f911(x96631)),x96632),x96633)),f160(x96631,x96634)))+~P1(f329(f329(f240(a910),x96635),f329(f192(f911(x96631)),x96632)))+~P1(f329(f329(f331(f917(x96631,x96631)),f329(f329(f257(x96631,x96631),f329(f329(f167(x96631),x96632),x96635)),x96636)),x96634)) % 166.52/166.36 [10150]~P5(x101502)+~P1(f329(f62(x101501),x101506))+P1(f329(f329(f331(x101501),f555(x101504,x101505,x101503,x101506,x101501,x101502)),x101506))+E(f329(f329(f6(x101501,x101502),f329(f329(f18(x101501,f918(x101503,a905),x101502),f329(f329(f8(f918(x101503,x101502),f918(f918(x101503,a905),x101502),x101501),f6(x101503,x101502)),x101504)),x101505)),x101506),f329(f329(f6(f917(x101501,x101503),x101502),f329(f262(x101501,x101503,x101502),x101504)),f329(f329(f259(x101501,x101503),x101506),x101505))) % 166.52/166.36 [10151]~P80(x101512)+~P1(f329(f62(x101511),x101516))+P1(f329(f329(f331(x101511),f554(x101514,x101515,x101513,x101516,x101511,x101512)),x101516))+E(f329(f329(f9(x101511,x101512),f329(f329(f18(x101511,f918(x101513,a905),x101512),f329(f329(f8(f918(x101513,x101512),f918(f918(x101513,a905),x101512),x101511),f9(x101513,x101512)),x101514)),x101515)),x101516),f329(f329(f9(f917(x101511,x101513),x101512),f329(f262(x101511,x101513,x101512),x101514)),f329(f329(f259(x101511,x101513),x101516),x101515))) % 166.52/166.36 [10192]~P5(x101922)+~P1(f329(f62(x101921),x101926))+~P1(f329(f62(x101923),f329(x101925,f555(x101924,x101925,x101923,x101926,x101921,x101922))))+E(f329(f329(f6(x101921,x101922),f329(f329(f18(x101921,f918(x101923,a905),x101922),f329(f329(f8(f918(x101923,x101922),f918(f918(x101923,a905),x101922),x101921),f6(x101923,x101922)),x101924)),x101925)),x101926),f329(f329(f6(f917(x101921,x101923),x101922),f329(f262(x101921,x101923,x101922),x101924)),f329(f329(f259(x101921,x101923),x101926),x101925))) % 166.52/166.36 [10193]~P80(x101932)+~P1(f329(f62(x101931),x101936))+~P1(f329(f62(x101933),f329(x101935,f554(x101934,x101935,x101933,x101936,x101931,x101932))))+E(f329(f329(f9(x101931,x101932),f329(f329(f18(x101931,f918(x101933,a905),x101932),f329(f329(f8(f918(x101933,x101932),f918(f918(x101933,a905),x101932),x101931),f9(x101933,x101932)),x101934)),x101935)),x101936),f329(f329(f9(f917(x101931,x101933),x101932),f329(f262(x101931,x101933,x101932),x101934)),f329(f329(f259(x101931,x101933),x101936),x101935))) % 166.52/166.36 [10173]~P80(x101732)+~P1(f329(f62(x101731),x101736))+P1(f329(f329(f331(x101731),x101733),x101736))+E(f329(f329(f9(x101731,x101732),f329(f329(f7(x101731,x101732,x101732),f329(f329(f18(x101731,x101732,f918(x101732,x101732)),f329(f329(f8(a905,f918(x101732,f918(x101732,x101732)),x101731),f99(x101732)),f329(f329(f7(x101731,x101731,a905),a326),x101733))),x101734)),x101735)),x101736),f329(f329(f249(x101732),x101735),f329(f36(x101731),x101736))) % 166.52/166.36 [10178]~P80(x101782)+~P1(f329(f62(x101781),x101786))+~P1(f329(f329(f331(x101781),x101783),x101786))+E(f329(f329(f9(x101781,x101782),f329(f329(f7(x101781,x101782,x101782),f329(f329(f18(x101781,x101782,f918(x101782,x101782)),f329(f329(f8(a905,f918(x101782,f918(x101782,x101782)),x101781),f99(x101782)),f329(f329(f7(x101781,x101781,a905),a326),x101783))),x101784)),x101785)),x101786),f329(f329(f83(x101782),f329(x101784,x101783)),f329(f329(f249(x101782),x101785),f329(f329(f23(a910),f329(f36(x101781),x101786)),f80(a910))))) % 166.52/166.36 [10256]~P1(f329(f62(x102561),x102565))+~P1(f329(f62(x102562),x102563))+P1(f329(f329(f331(x102562),f412(x102566,x102564,x102563,x102562,x102565,x102561)),x102563))+E(f329(f329(f6(x102561,a910),f329(f329(f8(f918(x102562,a905),a910,x102561),f36(x102562)),f329(f329(f8(f918(x102562,a905),f918(x102562,a905),x102561),f267(x102562)),f329(f329(f8(f918(x102562,a905),f918(x102562,a905),x102561),f329(f18(x102562,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102562),a327),f329(f329(f7(x102562,f918(x102562,a905),a905),f331(x102562)),x102563)))),x102564)))),x102565),f329(f329(f83(a910),x102566),f329(f36(x102562),x102563))) % 166.52/166.36 [10257]~P1(f329(f62(x102571),x102575))+~P1(f329(f62(x102572),x102573))+P1(f329(f329(f331(x102572),f415(x102576,x102574,x102573,x102572,x102575,x102571)),x102573))+E(f329(f329(f6(x102571,a910),f329(f329(f8(f918(x102572,a905),a910,x102571),f36(x102572)),f329(f329(f8(f918(x102572,a905),f918(x102572,a905),x102571),f267(x102572)),f329(f329(f8(f918(x102572,a905),f918(x102572,a905),x102571),f329(f18(x102572,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102572),a327),f329(f329(f7(x102572,f918(x102572,a905),a905),f331(x102572)),x102573)))),x102574)))),x102575),f329(f329(f6(x102572,a910),x102576),x102573)) % 166.52/166.36 [10297]~P1(f329(f62(x102972),x102973))+~P1(f329(f62(x102971),x102975))+~E(f329(f36(x102971),f329(f267(x102971),f329(f329(f18(x102971,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102971),a327),f329(f329(f7(x102971,f918(x102971,a905),a905),f331(x102971)),x102975))),f329(f329(f7(x102971,x102972,a905),x102974),f412(x102976,x102974,x102973,x102972,x102975,x102971))))),x102976)+E(f329(f329(f6(x102971,a910),f329(f329(f8(f918(x102972,a905),a910,x102971),f36(x102972)),f329(f329(f8(f918(x102972,a905),f918(x102972,a905),x102971),f267(x102972)),f329(f329(f8(f918(x102972,a905),f918(x102972,a905),x102971),f329(f18(x102972,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102972),a327),f329(f329(f7(x102972,f918(x102972,a905),a905),f331(x102972)),x102973)))),x102974)))),x102975),f329(f329(f83(a910),x102976),f329(f36(x102972),x102973))) % 166.52/166.36 [10299]~P1(f329(f62(x102992),x102993))+~P1(f329(f62(x102991),x102995))+~E(f329(f36(x102991),f329(f267(x102991),f329(f329(f18(x102991,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102991),a327),f329(f329(f7(x102991,f918(x102991,a905),a905),f331(x102991)),x102995))),f329(f329(f7(x102991,x102992,a905),x102994),f415(x102996,x102994,x102993,x102992,x102995,x102991))))),f329(x102996,f415(x102996,x102994,x102993,x102992,x102995,x102991)))+E(f329(f329(f6(x102991,a910),f329(f329(f8(f918(x102992,a905),a910,x102991),f36(x102992)),f329(f329(f8(f918(x102992,a905),f918(x102992,a905),x102991),f267(x102992)),f329(f329(f8(f918(x102992,a905),f918(x102992,a905),x102991),f329(f18(x102992,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102992),a327),f329(f329(f7(x102992,f918(x102992,a905),a905),f331(x102992)),x102993)))),x102994)))),x102995),f329(f329(f6(x102992,a910),x102996),x102993)) % 166.52/166.36 [9943]E(x99431,x99432)+~P21(x99433,x99434,x99435)+~P1(f329(f67(x99433,x99434,x99435,x99436,x99437),x99432))+~P1(f329(f67(x99433,x99434,x99435,x99436,x99437),x99431)) % 166.52/166.36 [9741]P1(f329(x97411,x97412))+~P1(f329(f329(f331(x97417),x97412),f329(x97416,x97414)))+~P1(f329(x97411,f421(x97411,x97416,x97415,x97413,x97417)))+~P1(f329(f329(f331(x97413),x97414),x97415)) % 166.52/166.36 [10164]~P21(x101647,x101646,x101641)+E(f329(f329(x101641,x101642),f627(x101642,x101643,x101644,x101645,x101641,x101646,x101647)),x101643)+~P1(f329(f67(x101647,x101646,x101641,x101645,x101644),x101643))+~P1(f329(f329(f331(x101647),x101642),x101644)) % 166.52/166.36 [10235]~P21(x102351,x102352,x102353)+~P1(f329(f67(x102351,x102352,x102353,x102354,x102355),x102357))+P1(f329(f67(x102351,x102352,x102353,x102354,f329(f329(f23(f918(x102351,a905)),x102355),f329(f329(f311(x102351),x102356),f191(f918(x102351,a905))))),f627(x102356,x102357,x102355,x102354,x102353,x102352,x102351)))+~P1(f329(f329(f331(x102351),x102356),x102355)) % 166.52/166.36 [9637]~P76(x96371)+~P30(x96375,x96372,x96376,x96377)+~P1(f329(f62(x96375),x96377))+E(f329(f329(f329(f66(x96371,x96372,f83(x96371)),x96373),x96374),f329(f312(x96375,x96372,x96376),x96377)),f329(f329(f329(f66(x96371,x96375,f83(x96371)),f329(f74(x96372,x96371,x96375,x96373),x96376)),x96374),x96377)) % 166.52/166.36 [9764]~E(f329(f329(f311(x97641),x97645),x97646),f329(f329(f311(x97641),x97642),x97643))+~P1(f329(f67(x97641,x97641,x97644,x97642,x97643),x97647))+P1(f329(f329(f331(x97641),x97642),x97643))+P1(f329(f63(x97641,x97644,f329(f329(f311(x97641),x97645),x97646)),x97647)) % 166.52/166.36 [9848]P1(f329(x98481,x98482))+~P1(f329(f329(f331(x98483),x98482),f329(x98484,x98487)))+~P1(f329(f329(f331(x98486),x98487),x98485))+P1(f329(f329(f331(x98483),f421(x98481,x98484,x98485,x98486,x98483)),f329(f329(f40(x98486,f918(x98483,a905)),x98485),x98484))) % 166.52/166.36 [9864]~P30(x98642,x98641,x98645,x98644)+~P30(x98641,x98643,x98646,f329(f312(x98642,x98641,x98645),x98644))+E(f329(f329(f74(x98641,x98642,x98643,f79(x98642,x98641,x98644,x98645)),f79(x98641,x98643,f329(f312(x98642,x98641,x98645),x98644),x98646)),x98647),f329(f79(x98642,x98643,x98644,f329(f74(x98641,x98643,x98642,x98646),x98645)),x98647))+~P1(f329(f329(f331(x98643),x98647),f329(f312(x98641,x98643,x98646),f329(f312(x98642,x98641,x98645),x98644)))) % 166.52/166.36 [9865]~P30(x98652,x98651,x98655,x98654)+~P30(x98651,x98653,x98656,f329(f312(x98652,x98651,x98655),x98654))+E(f329(f329(f74(x98651,x98652,x98653,f94(x98652,x98651,x98654,x98655)),f94(x98651,x98653,f329(f312(x98652,x98651,x98655),x98654),x98656)),x98657),f329(f94(x98652,x98653,x98654,f329(f74(x98651,x98653,x98652,x98656),x98655)),x98657))+~P1(f329(f329(f331(x98653),x98657),f329(f312(x98651,x98653,x98656),f329(f312(x98652,x98651,x98655),x98654)))) % 166.52/166.36 [10165]~P21(x101657,x101656,x101651)+E(f329(f329(x101651,x101652),f653(x101653,x101654,x101652,x101655,x101651,x101656,x101657)),x101653)+P1(f329(f329(f331(x101657),x101652),x101654))+~P1(f329(f67(x101657,x101656,x101651,x101655,f329(f329(f311(x101657),x101652),x101654)),x101653)) % 166.52/166.36 [10234]~P21(x102341,x102344,x102345)+P1(f329(f67(x102341,x102344,x102345,x102346,x102343),f653(x102347,x102343,x102342,x102346,x102345,x102344,x102341)))+P1(f329(f329(f331(x102341),x102342),x102343))+~P1(f329(f67(x102341,x102344,x102345,x102346,f329(f329(f311(x102341),x102342),x102343)),x102347)) % 166.52/166.36 [9925]E(x99251,f2(a1))+~P1(f329(f50(x99253,x99251),f329(f329(f257(a1,a1),x99255),x99257)))+~P1(f329(f50(x99252,x99251),f329(f329(f257(a1,a1),x99254),x99256)))+P1(f329(f50(f329(f329(f82(a1),x99252),x99253),x99251),f329(f329(f257(a1,a1),f329(f329(f82(a1),f329(f329(f82(a1),x99254),x99255)),f329(f329(f37(a1),f329(f329(f82(a1),x99256),x99257)),x99251))),f46(a1,f329(f329(f82(a1),x99256),x99257),x99251)))) % 166.52/166.36 [9927]~P1(f329(f329(f240(a910),f2(a910)),x99273))+~P1(f329(f49(x99272,x99273),f329(f329(f257(a910,a910),x99275),x99277)))+~P1(f329(f49(x99271,x99273),f329(f329(f257(a910,a910),x99274),x99276)))+P1(f329(f49(f329(f329(f82(a910),x99271),x99272),x99273),f329(f329(f257(a910,a910),f329(f329(f82(a910),f329(f329(f82(a910),x99274),x99275)),f329(f329(f37(a910),f329(f329(f82(a910),x99276),x99277)),x99273))),f46(a910,f329(f329(f82(a910),x99276),x99277),x99273)))) % 166.52/166.36 [10296]~P5(x102962)+~P1(f329(f62(x102963),x102965))+~P1(f329(f62(x102961),x102967))+E(f329(f329(f6(x102961,x102962),f329(f329(f18(x102961,f918(x102963,a905),x102962),f329(f329(f8(f918(x102963,x102962),f918(f918(x102963,a905),x102962),x102961),f6(x102963,x102962)),x102964)),f329(f329(f8(f918(x102963,a905),f918(x102963,a905),x102961),f267(x102963)),f329(f329(f8(f918(x102963,a905),f918(x102963,a905),x102961),f329(f18(x102963,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102963),a327),f329(f329(f7(x102963,f918(x102963,a905),a905),f331(x102963)),x102965)))),x102966)))),x102967),f329(f329(f6(x102963,x102962),f329(f329(f18(x102963,f918(x102961,a905),x102962),f329(f329(f8(f918(x102961,x102962),f918(f918(x102961,a905),x102962),x102963),f6(x102961,x102962)),f329(f7(x102961,x102963,x102962),x102964))),f329(f329(f8(f918(x102961,a905),f918(x102961,a905),x102963),f267(x102961)),f329(f329(f8(f918(x102961,a905),f918(x102961,a905),x102963),f329(f18(x102961,a905,a905),f329(f329(f8(a905,f918(a905,a905),x102961),a327),f329(f329(f7(x102961,f918(x102961,a905),a905),f331(x102961)),x102967)))),f329(f7(x102961,x102963,a905),x102966))))),x102965)) % 166.52/166.36 [9800]~P27(x98007,x98006,x98001,x98008,x98002,x98004)+E(f329(f329(x98001,f329(x98002,x98003)),f329(x98004,x98005)),f329(x98004,x98005))+~P1(f329(f62(x98006),x98005))+~P1(f329(f329(f331(x98006),x98003),x98005)) % 166.52/166.36 [9804]~P17(x98046,x98041,x98042,x98048,x98043,x98044)+~P13(x98046,x98047,x98048)+P16(x98041,x98042,x98043,f329(x98044,x98045))+~P1(f329(f329(f331(x98046),x98045),x98047)) % 166.52/166.36 [7919]~P48(x79194,x79195,x79196,x79193)+~P33(x79198,x79196,f329(f329(f329(f93(x79198),x79197),x79194),x79191))+P1(f329(f329(x79191,x79192),x79193))+~P1(f329(f329(x79197,x79192),x79195)) % 166.52/166.36 [9418]~P24(x94187,x94181,x94188,x94183)+~P1(f329(f62(x94187),x94185))+~P1(f329(f62(x94187),x94184))+E(f329(f74(x94181,x94181,x94182,f329(x94183,x94184)),f329(f74(x94181,x94181,x94182,f329(x94183,x94185)),x94186)),f329(f74(x94181,x94181,x94182,f329(x94183,x94185)),f329(f74(x94181,x94181,x94182,f329(x94183,x94184)),x94186))) % 166.52/166.36 [9427]~P40(x94271,x94272,x94273,x94274,x94277)+P40(x94271,x94272,x94273,f329(f329(f162(x94271,x94274),x94275),x94276),f329(f329(f162(x94272,x94277),x94275),x94278))+~P1(f329(f329(x94273,x94276),x94278))+~P1(f329(f329(f240(a910),x94275),f329(f192(f911(x94271)),x94274))) % 166.52/166.36 [9428]~P40(x94281,x94282,x94283,x94284,x94287)+P40(x94281,x94282,x94283,f329(f329(f162(x94281,x94284),x94285),x94286),f329(f329(f162(x94282,x94287),x94285),x94288))+~P1(f329(f329(x94283,x94286),x94288))+~P1(f329(f329(f240(a910),x94285),f329(f192(f911(x94282)),x94287))) % 166.52/166.36 [9506]~P30(x95062,x95062,x95065,x95066)+~P26(x95063,x95062,x95067,x95068,x95061)+~P1(f329(f62(x95062),x95066))+E(f329(f329(x95061,f329(f74(x95062,x95063,x95062,x95064),x95065)),x95066),f329(f329(x95061,x95064),f329(f312(x95062,x95062,x95065),x95066))) % 166.52/166.36 [9765]P31(x97651,x97652,x97653,x97654,x97655)+~P31(x97652,x97656,x97657,x97655,x97658)+~P31(x97651,x97656,f329(f74(x97652,x97656,x97651,x97657),x97653),x97654,x97658)+~P1(f329(f329(f239(f918(x97652,a905)),f329(f312(x97651,x97652,x97653),x97654)),x97655)) % 166.52/166.36 [9802]~P28(x98027,x98022,x98025,x98028,x98026,x98021)+~P1(f329(f62(x98022),x98024))+E(f329(x98021,f329(f329(f311(x98022),x98023),x98024)),f329(f329(x98025,f329(x98026,x98023)),f329(x98021,x98024)))+P1(f329(f329(f331(x98022),x98023),x98024)) % 166.52/166.36 [9813]~P27(x98136,x98135,x98131,x98137,x98138,x98132)+E(f329(f329(x98131,f329(x98132,x98133)),f329(x98132,x98134)),f329(x98132,x98134))+~P1(f329(f62(x98135),x98134))+~P1(f329(f329(f239(f918(x98135,a905)),x98133),x98134)) % 166.52/166.36 [9404]P1(f329(f329(f331(f917(f911(x94041),f911(x94041))),f329(f329(f257(f911(x94041),f911(x94041)),x94042),x94043)),f160(x94041,x94044)))+~E(x94043,f329(f329(f137(x94041),x94045),f329(f329(f154(x94041),x94046),x94047)))+~E(x94042,f329(f329(f137(x94041),x94045),f329(f329(f154(x94041),x94048),x94047)))+~P1(f329(f329(f331(f917(x94041,x94041)),f329(f329(f257(x94041,x94041),x94048),x94046)),x94044)) % 166.52/166.36 [9807]~P27(x98076,x98072,x98075,x98077,x98078,x98071)+~P1(f329(f62(x98072),x98074))+~P1(f329(f62(x98072),x98073))+E(f329(x98071,f329(f329(f115(f918(x98072,a905)),x98073),x98074)),f329(f329(x98075,f329(x98071,x98073)),f329(x98071,x98074))) % 166.52/166.36 [10340]~P30(x103404,x103402,x103405,x103408)+E(f329(f329(f41(x103401,f918(x103402,a905)),x103403),f329(f329(f8(f918(x103404,a905),f918(x103402,a905),x103401),f312(x103404,x103402,x103405)),x103406)),f329(f312(x103404,x103402,x103405),f329(f329(f41(x103401,f918(x103404,a905)),x103403),x103406)))+~P1(f329(f329(f331(x103401),x103407),x103403))+P1(f329(f329(f331(x103401),f642(x103407,x103406,x103403,x103401,x103408,x103405,x103402,x103404)),x103403)) % 166.52/166.36 [10365]~P30(x103654,x103652,x103655,x103657)+E(f329(f329(f41(x103651,f918(x103652,a905)),x103653),f329(f329(f8(f918(x103654,a905),f918(x103652,a905),x103651),f312(x103654,x103652,x103655)),x103656)),f329(f312(x103654,x103652,x103655),f329(f329(f41(x103651,f918(x103654,a905)),x103653),x103656)))+~P1(f329(f329(f331(x103651),x103658),x103653))+~P1(f329(f329(f239(f918(x103654,a905)),f329(x103656,f642(x103658,x103656,x103653,x103651,x103657,x103655,x103652,x103654))),x103657)) % 166.52/166.36 [9874]~P28(x98747,x98745,x98741,x98748,x98742,x98744)+~P1(f329(f62(x98745),x98746))+~P1(f329(f329(f331(x98745),x98743),x98746))+E(f329(f329(x98741,f329(x98742,x98743)),f329(x98744,f329(f329(f23(f918(x98745,a905)),x98746),f329(f329(f311(x98745),x98743),f191(f918(x98745,a905)))))),f329(x98744,x98746)) % 166.52/166.36 [9882]~P28(x98826,x98823,x98821,x98827,x98828,x98822)+~P1(f329(f62(x98823),x98825))+~P1(f329(f62(x98823),x98824))+E(f329(f329(x98821,f329(x98822,f329(f329(f115(f918(x98823,a905)),x98824),x98825))),f329(x98822,f329(f329(f106(f918(x98823,a905)),x98824),x98825))),f329(f329(x98821,f329(x98822,x98824)),f329(x98822,x98825))) % 166.52/166.36 [9966]P50(x99661,x99662,x99663,x99664,x99665,f329(f329(x99663,x99666),x99667))+~P50(x99661,x99662,x99663,x99664,f329(f329(f23(f918(x99661,a905)),x99665),f329(f329(f311(x99661),x99668),f191(f918(x99661,a905)))),x99669)+~E(f329(f329(x99663,x99666),x99667),f329(f329(x99663,x99668),x99669))+~P1(f329(f329(f331(x99661),x99668),x99665)) % 166.52/166.36 [10376]P29(x103761,x103762,f329(f329(f311(f909(x103761)),f329(f329(f329(f93(x103761),f329(x103763,f649(x103764,x103765,x103766,x103767,x103763,x103762,x103761,x103768,x103769))),f329(x103767,f649(x103764,x103765,x103766,x103767,x103763,x103762,x103761,x103768,x103769))),f329(x103766,f649(x103764,x103765,x103766,x103767,x103763,x103762,x103761,x103768,x103769)))),f191(f918(f909(x103761),a905))))+~P1(f329(f62(x103769),x103768))+~P29(x103761,x103762,f329(f312(x103769,f909(x103761),f329(f329(f18(x103769,f918(x103761,f918(a906,a905)),f909(x103761)),f329(f329(f18(x103769,a907,f918(f918(x103761,f918(a906,a905)),f909(x103761))),f329(f329(f8(f918(x103761,f918(a906,a905)),f918(a907,f918(f918(x103761,f918(a906,a905)),f909(x103761))),x103769),f93(x103761)),x103763)),x103767)),x103766)),x103768))+P29(x103761,x103762,f329(f312(x103769,f909(x103761),f329(f329(f18(x103769,f918(x103761,f918(a906,a905)),f909(x103761)),f329(f329(f18(x103769,a907,f918(f918(x103761,f918(a906,a905)),f909(x103761))),f329(f329(f8(f918(x103761,f918(a906,a905)),f918(a907,f918(f918(x103761,f918(a906,a905)),f909(x103761))),x103769),f93(x103761)),x103765)),x103767)),x103764)),x103768)) % 166.52/166.36 [10377]~P29(x103771,x103772,f329(f329(f311(f909(x103771)),f329(f329(f329(f93(x103771),f329(x103774,f649(x103776,x103774,x103778,x103775,x103779,x103772,x103771,x103777,x103773))),f329(x103775,f649(x103776,x103774,x103778,x103775,x103779,x103772,x103771,x103777,x103773))),f329(x103776,f649(x103776,x103774,x103778,x103775,x103779,x103772,x103771,x103777,x103773)))),f191(f918(f909(x103771),a905))))+~P1(f329(f62(x103773),x103777))+~P29(x103771,x103772,f329(f312(x103773,f909(x103771),f329(f329(f18(x103773,f918(x103771,f918(a906,a905)),f909(x103771)),f329(f329(f18(x103773,a907,f918(f918(x103771,f918(a906,a905)),f909(x103771))),f329(f329(f8(f918(x103771,f918(a906,a905)),f918(a907,f918(f918(x103771,f918(a906,a905)),f909(x103771))),x103773),f93(x103771)),x103779)),x103775)),x103778)),x103777))+P29(x103771,x103772,f329(f312(x103773,f909(x103771),f329(f329(f18(x103773,f918(x103771,f918(a906,a905)),f909(x103771)),f329(f329(f18(x103773,a907,f918(f918(x103771,f918(a906,a905)),f909(x103771))),f329(f329(f8(f918(x103771,f918(a906,a905)),f918(a907,f918(f918(x103771,f918(a906,a905)),f909(x103771))),x103773),f93(x103771)),x103774)),x103775)),x103776)),x103777)) % 166.52/166.36 [9908]~P17(x99086,x99087,x99088,x99089,x990810,x99081)+E(f329(f329(x99081,x99082),x99083),f329(f329(x99081,x99084),x99085))+~P1(f329(f329(f331(f917(x99087,x99087)),f329(f329(f257(x99087,x99087),x99083),x99085)),x990810))+~P1(f329(f329(f331(f917(x99086,x99086)),f329(f329(f257(x99086,x99086),x99082),x99084)),x99089)) % 166.52/166.36 [9508]~P2(x95082)+E(x95081,f191(f918(x95082,a905)))+~P1(f329(f62(x95082),x95081))+P1(f329(f329(f331(x95082),f13(x95082,x95081)),x95081))+~P1(f329(f329(f331(x95082),f329(f329(f115(x95082),f823(x95081,x95082)),f833(x95081,x95082))),f329(f329(f311(x95082),f823(x95081,x95082)),f329(f329(f311(x95082),f833(x95081,x95082)),f191(f918(x95082,a905)))))) % 166.52/166.36 [9509]~P2(x95092)+E(x95091,f191(f918(x95092,a905)))+~P1(f329(f62(x95092),x95091))+P1(f329(f329(f331(x95092),f10(x95092,x95091)),x95091))+~P1(f329(f329(f331(x95092),f329(f329(f106(x95092),f899(x95091,x95092)),f901(x95091,x95092))),f329(f329(f311(x95092),f899(x95091,x95092)),f329(f329(f311(x95092),f901(x95091,x95092)),f191(f918(x95092,a905)))))) % 166.52/166.36 [9540]~P76(x95402)+E(x95401,f191(f918(x95402,a905)))+~P1(f329(f62(x95402),x95401))+P1(f329(f329(f331(x95402),f329(f64(x95402,f83(x95402)),x95401)),x95401))+~P1(f329(f329(f331(x95402),f329(f329(f83(x95402),f411(x95401,x95402)),f413(x95401,x95402))),f329(f329(f311(x95402),f411(x95401,x95402)),f329(f329(f311(x95402),f413(x95401,x95402)),f191(f918(x95402,a905)))))) % 166.52/166.36 [9546]~P112(x95462)+E(x95461,f191(f918(x95462,a905)))+~P1(f329(f62(x95462),x95461))+P1(f329(f329(f331(x95462),f11(x95462,f237(x95462),x95461)),x95461))+~P1(f329(f329(f331(x95462),f329(f329(f237(x95462),f443(x95461,x95462)),f455(x95461,x95462))),f329(f329(f311(x95462),f443(x95461,x95462)),f329(f329(f311(x95462),f455(x95461,x95462)),f191(f918(x95462,a905)))))) % 166.52/166.36 [9547]~P112(x95472)+E(x95471,f191(f918(x95472,a905)))+~P1(f329(f62(x95472),x95471))+P1(f329(f329(f331(x95472),f12(x95472,f238(x95472),x95471)),x95471))+~P1(f329(f329(f331(x95472),f329(f329(f238(x95472),f444(x95471,x95472)),f445(x95471,x95472))),f329(f329(f311(x95472),f444(x95471,x95472)),f329(f329(f311(x95472),f445(x95471,x95472)),f191(f918(x95472,a905)))))) % 166.52/166.36 [6641]~P90(x66412)+E(x66411,f2(x66412))+~E(f329(f329(f82(x66412),x66413),x66411),f2(x66412))+~P1(f329(f329(f239(x66412),f2(x66412)),x66413))+~P1(f329(f329(f239(x66412),f2(x66412)),x66411)) % 166.52/166.36 [6642]~P90(x66422)+E(x66421,f2(x66422))+~E(f329(f329(f82(x66422),x66421),x66423),f2(x66422))+~P1(f329(f329(f239(x66422),f2(x66422)),x66423))+~P1(f329(f329(f239(x66422),f2(x66422)),x66421)) % 166.52/166.36 [7169]~P112(x71692)+~P18(x71692,x71691)+E(x71691,f118(x71692))+~P1(f329(f329(f331(x71692),x71693),f329(f175(x71692),f730(x71691,x71692))))+P1(f329(f329(f239(x71692),f750(x71691,x71692)),x71693)) % 166.52/166.36 [7337]~P112(x73371)+E(f15(x73371,x73372),x73373)+~P1(f329(f62(x73371),x73372))+~P1(f329(f329(f239(x73371),x73373),f500(x73373,x73372,x73371)))+~P1(f329(f329(f331(x73371),x73373),x73372)) % 166.52/166.36 [7373]~P112(x73731)+~P18(x73731,x73732)+~P18(x73731,x73733)+P18(x73731,f329(f329(f137(x73731),x73732),x73733))+P1(f329(f329(f331(x73731),f736(x73733,x73732,x73731)),f329(f175(x73731),x73732))) % 166.52/166.36 [7374]~P112(x73741)+~P18(x73741,x73742)+~P18(x73741,x73743)+P18(x73741,f329(f329(f137(x73741),x73742),x73743))+P1(f329(f329(f331(x73741),f737(x73743,x73742,x73741)),f329(f175(x73741),x73743))) % 166.52/166.36 [7435]~P112(x74351)+E(f14(x74351,x74352),x74353)+~P1(f329(f62(x74351),x74352))+P1(f329(f329(f331(x74351),f497(x74353,x74352,x74351)),x74352))+~P1(f329(f329(f331(x74351),x74353),x74352)) % 166.52/166.36 [7436]~P112(x74361)+E(f15(x74361,x74362),x74363)+~P1(f329(f62(x74361),x74362))+P1(f329(f329(f331(x74361),f500(x74363,x74362,x74361)),x74362))+~P1(f329(f329(f331(x74361),x74363),x74362)) % 166.52/166.36 [8020]~P112(x80201)+E(f14(x80201,x80202),x80203)+~P1(f329(f62(x80201),x80202))+~P1(f329(f329(f331(x80201),x80203),x80202))+~P1(f329(f329(f239(x80201),f497(x80203,x80202,x80201)),x80203)) % 166.52/166.36 [8348]~P112(x83481)+~P18(x83481,x83482)+~P18(x83481,x83483)+P18(x83481,f329(f329(f137(x83481),x83482),x83483))+~P1(f329(f329(f239(x83481),f736(x83483,x83482,x83481)),f737(x83483,x83482,x83481))) % 166.52/166.36 [9140]~P2(x91402)+E(x91401,f191(f918(x91402,a905)))+~E(f329(f329(f115(x91402),f329(x91403,f843(x91401,x91403,x91402))),f329(x91403,f856(x91401,x91403,x91402))),f329(x91403,f329(f329(f115(x91402),f843(x91401,x91403,x91402)),f856(x91401,x91403,x91402))))+E(f13(x91402,f329(f312(x91402,x91402,x91403),x91401)),f329(x91403,f13(x91402,x91401)))+~P1(f329(f62(x91402),x91401)) % 166.52/166.36 [9141]~P2(x91412)+E(x91411,f191(f918(x91412,a905)))+~E(f329(f329(f106(x91412),f329(x91413,f898(x91411,x91413,x91412))),f329(x91413,f902(x91411,x91413,x91412))),f329(x91413,f329(f329(f106(x91412),f898(x91411,x91413,x91412)),f902(x91411,x91413,x91412))))+E(f10(x91412,f329(f312(x91412,x91412,x91413),x91411)),f329(x91413,f10(x91412,x91411)))+~P1(f329(f62(x91412),x91411)) % 166.52/166.36 [9142]~P112(x91422)+E(x91421,f191(f918(x91422,a905)))+~E(f329(f329(f238(x91422),f329(x91423,f451(x91421,x91423,x91422))),f329(x91423,f461(x91421,x91423,x91422))),f329(x91423,f329(f329(f238(x91422),f451(x91421,x91423,x91422)),f461(x91421,x91423,x91422))))+E(f14(x91422,f329(f312(x91422,x91422,x91423),x91421)),f329(x91423,f14(x91422,x91421)))+~P1(f329(f62(x91422),x91421)) % 166.52/166.36 [9143]~P112(x91432)+E(x91431,f191(f918(x91432,a905)))+~E(f329(f329(f237(x91432),f329(x91433,f463(x91431,x91433,x91432))),f329(x91433,f464(x91431,x91433,x91432))),f329(x91433,f329(f329(f237(x91432),f463(x91431,x91433,x91432)),f464(x91431,x91433,x91432))))+E(f15(x91432,f329(f312(x91432,x91432,x91433),x91431)),f329(x91433,f15(x91432,x91431)))+~P1(f329(f62(x91432),x91431)) % 166.52/166.36 [9212]~P112(x92122)+E(x92121,f191(f918(x92122,a905)))+~E(f329(f329(f237(x92122),f329(x92123,f452(x92121,x92123,x92122))),f329(x92123,f460(x92121,x92123,x92122))),f329(x92123,f329(f329(f237(x92122),f452(x92121,x92123,x92122)),f460(x92121,x92123,x92122))))+E(f11(x92122,f237(x92122),f329(f312(x92122,x92122,x92123),x92121)),f329(x92123,f11(x92122,f237(x92122),x92121)))+~P1(f329(f62(x92122),x92121)) % 166.52/166.36 [9213]~P112(x92132)+E(x92131,f191(f918(x92132,a905)))+~E(f329(f329(f238(x92132),f329(x92133,f453(x92131,x92133,x92132))),f329(x92133,f459(x92131,x92133,x92132))),f329(x92133,f329(f329(f238(x92132),f453(x92131,x92133,x92132)),f459(x92131,x92133,x92132))))+E(f12(x92132,f238(x92132),f329(f312(x92132,x92132,x92133),x92131)),f329(x92133,f12(x92132,f238(x92132),x92131)))+~P1(f329(f62(x92132),x92131)) % 166.52/166.36 [6657]~P76(x66572)+E(x66571,f191(f918(x66572,a905)))+~P1(f329(f62(x66572),x66571))+E(f329(f64(x66572,f83(x66572)),f329(f329(f311(x66572),x66573),x66571)),f329(f329(f83(x66572),x66573),f329(f64(x66572,f83(x66572)),x66571)))+P1(f329(f329(f331(x66572),x66573),x66571)) % 166.52/166.36 [7175]~P2(x71752)+E(f329(f329(f115(x71752),f13(x71752,x71751)),f13(x71752,x71753)),f13(x71752,x71753))+E(x71751,f191(f918(x71752,a905)))+~P1(f329(f62(x71752),x71753))+~P1(f329(f329(f239(f918(x71752,a905)),x71751),x71753)) % 166.52/166.36 [7176]~P2(x71762)+E(f329(f329(f106(x71762),f10(x71762,x71761)),f10(x71762,x71763)),f10(x71762,x71763))+E(x71761,f191(f918(x71762,a905)))+~P1(f329(f62(x71762),x71763))+~P1(f329(f329(f239(f918(x71762,a905)),x71761),x71763)) % 166.52/166.36 [7177]~P112(x71772)+E(f329(f329(f237(x71772),f15(x71772,x71771)),f15(x71772,x71773)),f15(x71772,x71773))+E(x71771,f191(f918(x71772,a905)))+~P1(f329(f62(x71772),x71773))+~P1(f329(f329(f239(f918(x71772,a905)),x71771),x71773)) % 166.52/166.36 [7178]~P112(x71782)+E(f329(f329(f238(x71782),f14(x71782,x71781)),f14(x71782,x71783)),f14(x71782,x71783))+E(x71781,f191(f918(x71782,a905)))+~P1(f329(f62(x71782),x71783))+~P1(f329(f329(f239(f918(x71782,a905)),x71781),x71783)) % 166.52/166.36 [7487]~P112(x74872)+E(x74871,f191(f918(x74872,a905)))+~P1(f329(f62(x74872),x74873))+P1(f329(f329(f239(x74872),f14(x74872,x74871)),f14(x74872,x74873)))+~P1(f329(f329(f239(f918(x74872,a905)),x74871),x74873)) % 166.52/166.36 [7488]~P112(x74882)+E(x74881,f191(f918(x74882,a905)))+~P1(f329(f62(x74882),x74883))+P1(f329(f329(f239(x74882),f15(x74882,x74883)),f15(x74882,x74881)))+~P1(f329(f329(f239(f918(x74882,a905)),x74881),x74883)) % 166.52/166.36 [7544]~P2(x75441)+E(f13(x75441,x75442),x75443)+~P1(f329(f62(x75441),x75442))+~E(f329(f329(f23(f918(x75441,a905)),x75442),f329(f329(f311(x75441),x75443),f191(f918(x75441,a905)))),f191(f918(x75441,a905)))+~P1(f329(f329(f331(x75441),x75443),x75442)) % 166.52/166.36 [7545]~P2(x75451)+E(f10(x75451,x75452),x75453)+~P1(f329(f62(x75451),x75452))+~E(f329(f329(f23(f918(x75451,a905)),x75452),f329(f329(f311(x75451),x75453),f191(f918(x75451,a905)))),f191(f918(x75451,a905)))+~P1(f329(f329(f331(x75451),x75453),x75452)) % 166.52/166.36 [7546]~P112(x75461)+E(f14(x75461,x75462),x75463)+~P1(f329(f62(x75461),x75462))+~E(f329(f329(f23(f918(x75461,a905)),x75462),f329(f329(f311(x75461),x75463),f191(f918(x75461,a905)))),f191(f918(x75461,a905)))+~P1(f329(f329(f331(x75461),x75463),x75462)) % 166.52/166.36 [7547]~P112(x75471)+E(f15(x75471,x75472),x75473)+~P1(f329(f62(x75471),x75472))+~E(f329(f329(f23(f918(x75471,a905)),x75472),f329(f329(f311(x75471),x75473),f191(f918(x75471,a905)))),f191(f918(x75471,a905)))+~P1(f329(f329(f331(x75471),x75473),x75472)) % 166.52/166.36 [7644]~P112(x76441)+E(f11(x76441,f237(x76441),x76442),x76443)+~P1(f329(f62(x76441),x76442))+~E(f329(f329(f23(f918(x76441,a905)),x76442),f329(f329(f311(x76441),x76443),f191(f918(x76441,a905)))),f191(f918(x76441,a905)))+~P1(f329(f329(f331(x76441),x76443),x76442)) % 166.52/166.36 [7645]~P112(x76451)+E(f12(x76451,f238(x76451),x76452),x76453)+~P1(f329(f62(x76451),x76452))+~E(f329(f329(f23(f918(x76451,a905)),x76452),f329(f329(f311(x76451),x76453),f191(f918(x76451,a905)))),f191(f918(x76451,a905)))+~P1(f329(f329(f331(x76451),x76453),x76452)) % 166.52/166.36 [7680]~P104(x76802)+E(x76801,f191(f918(x76802,a905)))+~P1(f329(f62(x76802),x76801))+~P1(f329(f329(f239(x76802),x76803),f405(x76803,x76801,x76802)))+P1(f329(f329(f239(x76802),x76803),f329(f64(x76802,f106(x76802)),x76801))) % 166.52/166.36 [7681]~P112(x76812)+E(x76811,f191(f918(x76812,a905)))+~P1(f329(f62(x76812),x76811))+~P1(f329(f329(f239(x76812),x76813),f406(x76813,x76811,x76812)))+P1(f329(f329(f239(x76812),x76813),f329(f64(x76812,f237(x76812)),x76811))) % 166.52/166.36 [7682]~P112(x76822)+E(x76821,f191(f918(x76822,a905)))+~P1(f329(f62(x76822),x76821))+~P1(f329(f329(f240(x76822),x76823),f434(x76823,x76821,x76822)))+P1(f329(f329(f240(x76822),x76823),f329(f64(x76822,f237(x76822)),x76821))) % 166.52/166.36 [7768]~P104(x77682)+E(x77681,f191(f918(x77682,a905)))+~P1(f329(f62(x77682),x77681))+P1(f329(f329(f331(x77682),f405(x77683,x77681,x77682)),x77681))+P1(f329(f329(f239(x77682),x77683),f329(f64(x77682,f106(x77682)),x77681))) % 166.52/166.36 [7769]~P112(x77692)+E(x77691,f191(f918(x77692,a905)))+~P1(f329(f62(x77692),x77691))+P1(f329(f329(f331(x77692),f406(x77693,x77691,x77692)),x77691))+P1(f329(f329(f239(x77692),x77693),f329(f64(x77692,f237(x77692)),x77691))) % 166.52/166.36 [7770]~P112(x77702)+E(x77701,f191(f918(x77702,a905)))+~P1(f329(f62(x77702),x77701))+P1(f329(f329(f331(x77702),f434(x77703,x77701,x77702)),x77701))+P1(f329(f329(f240(x77702),x77703),f329(f64(x77702,f237(x77702)),x77701))) % 166.52/166.36 [7893]~P112(x78932)+E(x78931,f191(f918(x78932,a905)))+E(f329(f329(f237(x78932),f11(x78932,f237(x78932),x78931)),f11(x78932,f237(x78932),x78933)),f11(x78932,f237(x78932),x78933))+~P1(f329(f62(x78932),x78933))+~P1(f329(f329(f239(f918(x78932,a905)),x78931),x78933)) % 166.52/166.36 [7894]~P112(x78942)+E(x78941,f191(f918(x78942,a905)))+E(f329(f329(f238(x78942),f12(x78942,f238(x78942),x78941)),f12(x78942,f238(x78942),x78943)),f12(x78942,f238(x78942),x78943))+~P1(f329(f62(x78942),x78943))+~P1(f329(f329(f239(f918(x78942,a905)),x78941),x78943)) % 166.52/166.36 [8100]~E(f639(x81001,x81003,x81002),f640(x81001,x81003,x81002))+~E(f329(f36(x81002),f641(x81001,x81003,x81002)),x81001)+E(f329(f329(f83(a910),x81001),f329(f36(f918(x81002,a905)),x81003)),f329(f36(x81002),f38(f918(x81002,a905),x81003)))+~P1(f329(f62(x81002),f38(f918(x81002,a905),x81003)))+~P1(f329(f62(f918(x81002,a905)),x81003)) % 166.52/166.36 [8286]~P112(x82862)+E(x82861,f191(f918(x82862,a905)))+~P1(f329(f62(x82862),x82863))+P1(f329(f329(f239(x82862),f329(f64(x82862,f237(x82862)),x82863)),f329(f64(x82862,f237(x82862)),x82861)))+~P1(f329(f329(f239(f918(x82862,a905)),x82861),x82863)) % 166.52/166.36 [8595]~E(f639(x85951,x85953,x85952),f640(x85951,x85953,x85952))+E(f329(f329(f83(a910),x85951),f329(f36(f918(x85952,a905)),x85953)),f329(f36(x85952),f38(f918(x85952,a905),x85953)))+P1(f329(f329(f331(f918(x85952,a905)),f641(x85951,x85953,x85952)),x85953))+~P1(f329(f62(x85952),f38(f918(x85952,a905),x85953)))+~P1(f329(f62(f918(x85952,a905)),x85953)) % 166.52/166.36 [8624]~E(f329(f36(x86242),f641(x86241,x86243,x86242)),x86241)+E(f329(f329(f83(a910),x86241),f329(f36(f918(x86242,a905)),x86243)),f329(f36(x86242),f38(f918(x86242,a905),x86243)))+P1(f329(f329(f331(f918(x86242,a905)),f640(x86241,x86243,x86242)),x86243))+~P1(f329(f62(x86242),f38(f918(x86242,a905),x86243)))+~P1(f329(f62(f918(x86242,a905)),x86243)) % 166.52/166.36 [8625]~E(f329(f36(x86252),f641(x86251,x86253,x86252)),x86251)+E(f329(f329(f83(a910),x86251),f329(f36(f918(x86252,a905)),x86253)),f329(f36(x86252),f38(f918(x86252,a905),x86253)))+P1(f329(f329(f331(f918(x86252,a905)),f639(x86251,x86253,x86252)),x86253))+~P1(f329(f62(x86252),f38(f918(x86252,a905),x86253)))+~P1(f329(f62(f918(x86252,a905)),x86253)) % 166.52/166.36 [8654]~E(f329(f36(x86542),f641(x86541,x86543,x86542)),x86541)+~E(f329(f329(f106(f918(x86542,a905)),f640(x86541,x86543,x86542)),f639(x86541,x86543,x86542)),f191(f918(x86542,a905)))+E(f329(f329(f83(a910),x86541),f329(f36(f918(x86542,a905)),x86543)),f329(f36(x86542),f38(f918(x86542,a905),x86543)))+~P1(f329(f62(f918(x86542,a905)),x86543))+~P1(f329(f62(x86542),f38(f918(x86542,a905),x86543))) % 166.52/166.36 [8901]E(f329(f329(f83(a910),x89011),f329(f36(f918(x89012,a905)),x89013)),f329(f36(x89012),f38(f918(x89012,a905),x89013)))+P1(f329(f329(f331(f918(x89012,a905)),f641(x89011,x89013,x89012)),x89013))+P1(f329(f329(f331(f918(x89012,a905)),f640(x89011,x89013,x89012)),x89013))+~P1(f329(f62(f918(x89012,a905)),x89013))+~P1(f329(f62(x89012),f38(f918(x89012,a905),x89013))) % 166.52/166.36 [8902]E(f329(f329(f83(a910),x89021),f329(f36(f918(x89022,a905)),x89023)),f329(f36(x89022),f38(f918(x89022,a905),x89023)))+P1(f329(f329(f331(f918(x89022,a905)),f641(x89021,x89023,x89022)),x89023))+P1(f329(f329(f331(f918(x89022,a905)),f639(x89021,x89023,x89022)),x89023))+~P1(f329(f62(f918(x89022,a905)),x89023))+~P1(f329(f62(x89022),f38(f918(x89022,a905),x89023))) % 166.52/166.36 [8926]~E(f329(f329(f106(f918(x89262,a905)),f640(x89261,x89263,x89262)),f639(x89261,x89263,x89262)),f191(f918(x89262,a905)))+E(f329(f329(f83(a910),x89261),f329(f36(f918(x89262,a905)),x89263)),f329(f36(x89262),f38(f918(x89262,a905),x89263)))+~P1(f329(f62(f918(x89262,a905)),x89263))+P1(f329(f329(f331(f918(x89262,a905)),f641(x89261,x89263,x89262)),x89263))+~P1(f329(f62(x89262),f38(f918(x89262,a905),x89263))) % 166.52/166.36 [9188]~P99(x91882)+E(x91881,f191(f918(x91882,a905)))+~E(f329(f329(f83(x91882),f329(x91883,f410(x91881,x91883,x91882))),f329(x91883,f416(x91881,x91883,x91882))),f329(x91883,f329(f329(f83(x91882),f410(x91881,x91883,x91882)),f416(x91881,x91883,x91882))))+~P1(f329(f62(x91882),x91881))+E(f329(f64(x91882,f83(x91882)),f329(f312(x91882,x91882,x91883),x91881)),f329(x91883,f329(f64(x91882,f83(x91882)),x91881))) % 166.52/166.36 [10113]P1(f329(f329(x101131,x101132),x101133))+P1(f329(f329(f240(a1),f515(x101131,x101133,x101132)),f517(x101131,x101133,x101132)))+P1(f329(f329(f239(a1),f517(x101131,x101133,x101132)),f2(a1)))+P1(f329(f329(x101131,f515(x101131,x101133,x101132)),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)))),f517(x101131,x101133,x101132))))+~P1(f329(f317(f917(a1,a1),a59),f329(f329(f257(a1,a1),x101132),x101133))) % 166.52/166.36 [10119]P1(f329(f329(x101191,x101192),x101193))+P1(f329(f329(f239(a1),f514(x101191,x101193,x101192)),f2(a1)))+P1(f329(f329(x101191,f513(x101191,x101193,x101192)),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)))),f514(x101191,x101193,x101192))))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),f513(x101191,x101193,x101192)),f514(x101191,x101193,x101192))))+~P1(f329(f317(f917(a1,a1),a53),f329(f329(f257(a1,a1),x101192),x101193))) % 166.52/166.36 [8070]~P123(x80701)+~P1(f329(f329(f239(x80701),x80702),f80(x80701)))+~P1(f329(f329(f239(x80701),f2(x80701)),x80702))+~P1(f329(f329(f239(x80701),f2(x80701)),x80703))+P1(f329(f329(f239(x80701),f329(f329(f83(x80701),x80702),x80703)),x80703)) % 166.52/166.36 [8071]~P123(x80711)+~P1(f329(f329(f239(x80711),x80713),f80(x80711)))+~P1(f329(f329(f239(x80711),f2(x80711)),x80713))+~P1(f329(f329(f239(x80711),f2(x80711)),x80712))+P1(f329(f329(f239(x80711),f329(f329(f83(x80711),x80712),x80713)),x80712)) % 166.52/166.36 [8436]~P112(x84362)+E(x84361,f191(f918(x84362,a905)))+~P1(f329(f62(x84362),x84361))+P1(f329(f329(f331(x84362),f435(x84363,x84361,x84362)),x84361))+~P1(f329(f329(f239(x84362),f329(f64(x84362,f237(x84362)),x84361)),x84363)) % 166.52/166.36 [8437]~P112(x84372)+E(x84371,f191(f918(x84372,a905)))+~P1(f329(f62(x84372),x84371))+P1(f329(f329(f331(x84372),f438(x84373,x84371,x84372)),x84371))+~P1(f329(f329(f240(x84372),f329(f64(x84372,f237(x84372)),x84371)),x84373)) % 166.52/166.36 [8438]~P112(x84382)+E(x84381,f191(f918(x84382,a905)))+~P1(f329(f62(x84382),x84381))+P1(f329(f329(f239(x84382),f435(x84383,x84381,x84382)),x84383))+~P1(f329(f329(f239(x84382),f329(f64(x84382,f237(x84382)),x84381)),x84383)) % 166.52/166.36 [8439]~P112(x84392)+E(x84391,f191(f918(x84392,a905)))+~P1(f329(f62(x84392),x84391))+P1(f329(f329(f240(x84392),f438(x84393,x84391,x84392)),x84393))+~P1(f329(f329(f240(x84392),f329(f64(x84392,f237(x84392)),x84391)),x84393)) % 166.52/166.36 [8523]~P1(f329(x85231,x85233))+P1(f329(x85231,f368(x85231,x85232)))+P1(f329(x85231,f366(x85231,x85232)))+~P1(f329(f329(f240(a1),f2(a1)),x85232))+P1(f329(x85231,f329(f329(f23(a1),f366(x85231,x85232)),f329(f329(f83(a1),f369(x85231,x85232)),x85232)))) % 166.52/166.36 [8751]~P1(f329(x87511,x87513))+P1(f329(x87511,f366(x87511,x87512)))+~P1(f329(f329(f240(a1),f2(a1)),x87512))+P1(f329(f329(f331(a1),f368(x87511,x87512)),f305(a1,f80(a1),x87512)))+P1(f329(x87511,f329(f329(f23(a1),f366(x87511,x87512)),f329(f329(f83(a1),f369(x87511,x87512)),x87512)))) % 166.52/166.36 [8948]~P1(f329(x89481,x89483))+~P1(f329(x89481,f366(x89481,x89482)))+P1(f329(x89481,f368(x89481,x89482)))+~P1(f329(f329(f240(a1),f2(a1)),x89482))+~P1(f329(x89481,f329(f329(f23(a1),f366(x89481,x89482)),f329(f329(f83(a1),f369(x89481,x89482)),x89482)))) % 166.52/166.36 [9077]~P1(f329(x90771,x90773))+~P1(f329(x90771,f366(x90771,x90772)))+~P1(f329(f329(f240(a1),f2(a1)),x90772))+P1(f329(f329(f331(a1),f368(x90771,x90772)),f305(a1,f80(a1),x90772)))+~P1(f329(x90771,f329(f329(f23(a1),f366(x90771,x90772)),f329(f329(f83(a1),f369(x90771,x90772)),x90772)))) % 166.52/166.36 [8858]~P2(x88581)+~P1(f329(f62(x88581),x88582))+E(f329(f329(f23(f918(x88581,a905)),x88582),f329(f329(f311(x88581),x88583),f191(f918(x88581,a905)))),f191(f918(x88581,a905)))+~P1(f329(f329(f331(x88581),x88583),x88582))+E(f329(f329(f115(x88581),x88583),f13(x88581,f329(f329(f23(f918(x88581,a905)),x88582),f329(f329(f311(x88581),x88583),f191(f918(x88581,a905)))))),f13(x88581,x88582)) % 166.52/166.36 [8859]~P2(x88591)+~P1(f329(f62(x88591),x88592))+E(f329(f329(f23(f918(x88591,a905)),x88592),f329(f329(f311(x88591),x88593),f191(f918(x88591,a905)))),f191(f918(x88591,a905)))+~P1(f329(f329(f331(x88591),x88593),x88592))+E(f329(f329(f106(x88591),x88593),f10(x88591,f329(f329(f23(f918(x88591,a905)),x88592),f329(f329(f311(x88591),x88593),f191(f918(x88591,a905)))))),f10(x88591,x88592)) % 166.52/166.36 [8860]~P112(x88601)+~P1(f329(f62(x88601),x88602))+E(f329(f329(f23(f918(x88601,a905)),x88602),f329(f329(f311(x88601),x88603),f191(f918(x88601,a905)))),f191(f918(x88601,a905)))+~P1(f329(f329(f331(x88601),x88603),x88602))+E(f329(f329(f238(x88601),x88603),f14(x88601,f329(f329(f23(f918(x88601,a905)),x88602),f329(f329(f311(x88601),x88603),f191(f918(x88601,a905)))))),f14(x88601,x88602)) % 166.52/166.36 [8861]~P112(x88611)+~P1(f329(f62(x88611),x88612))+E(f329(f329(f23(f918(x88611,a905)),x88612),f329(f329(f311(x88611),x88613),f191(f918(x88611,a905)))),f191(f918(x88611,a905)))+~P1(f329(f329(f331(x88611),x88613),x88612))+E(f329(f329(f237(x88611),x88613),f15(x88611,f329(f329(f23(f918(x88611,a905)),x88612),f329(f329(f311(x88611),x88613),f191(f918(x88611,a905)))))),f15(x88611,x88612)) % 166.52/166.36 [8921]~P112(x89211)+~P1(f329(f62(x89211),x89212))+E(f329(f329(f23(f918(x89211,a905)),x89212),f329(f329(f311(x89211),x89213),f191(f918(x89211,a905)))),f191(f918(x89211,a905)))+~P1(f329(f329(f331(x89211),x89213),x89212))+E(f329(f329(f237(x89211),x89213),f11(x89211,f237(x89211),f329(f329(f23(f918(x89211,a905)),x89212),f329(f329(f311(x89211),x89213),f191(f918(x89211,a905)))))),f11(x89211,f237(x89211),x89212)) % 166.52/166.36 [8922]~P112(x89221)+~P1(f329(f62(x89221),x89222))+E(f329(f329(f23(f918(x89221,a905)),x89222),f329(f329(f311(x89221),x89223),f191(f918(x89221,a905)))),f191(f918(x89221,a905)))+~P1(f329(f329(f331(x89221),x89223),x89222))+E(f329(f329(f238(x89221),x89223),f12(x89221,f238(x89221),f329(f329(f23(f918(x89221,a905)),x89222),f329(f329(f311(x89221),x89223),f191(f918(x89221,a905)))))),f12(x89221,f238(x89221),x89222)) % 166.52/166.36 [8935]~P2(x89351)+~P1(f329(f62(x89351),x89353))+~P1(f329(f62(x89351),x89352))+E(f329(f329(f106(f918(x89351,a905)),x89352),x89353),f191(f918(x89351,a905)))+E(f329(f329(f115(x89351),f13(x89351,f329(f329(f115(f918(x89351,a905)),x89352),x89353))),f13(x89351,f329(f329(f106(f918(x89351,a905)),x89352),x89353))),f329(f329(f115(x89351),f13(x89351,x89352)),f13(x89351,x89353))) % 166.52/166.36 [8936]~P2(x89361)+~P1(f329(f62(x89361),x89363))+~P1(f329(f62(x89361),x89362))+E(f329(f329(f106(f918(x89361,a905)),x89362),x89363),f191(f918(x89361,a905)))+E(f329(f329(f106(x89361),f10(x89361,f329(f329(f115(f918(x89361,a905)),x89362),x89363))),f10(x89361,f329(f329(f106(f918(x89361,a905)),x89362),x89363))),f329(f329(f106(x89361),f10(x89361,x89362)),f10(x89361,x89363))) % 166.52/166.36 [8937]~P112(x89371)+~P1(f329(f62(x89371),x89373))+~P1(f329(f62(x89371),x89372))+E(f329(f329(f106(f918(x89371,a905)),x89372),x89373),f191(f918(x89371,a905)))+E(f329(f329(f237(x89371),f15(x89371,f329(f329(f115(f918(x89371,a905)),x89372),x89373))),f15(x89371,f329(f329(f106(f918(x89371,a905)),x89372),x89373))),f329(f329(f237(x89371),f15(x89371,x89372)),f15(x89371,x89373))) % 166.52/166.36 [8938]~P112(x89381)+~P1(f329(f62(x89381),x89383))+~P1(f329(f62(x89381),x89382))+E(f329(f329(f106(f918(x89381,a905)),x89382),x89383),f191(f918(x89381,a905)))+E(f329(f329(f238(x89381),f14(x89381,f329(f329(f115(f918(x89381,a905)),x89382),x89383))),f14(x89381,f329(f329(f106(f918(x89381,a905)),x89382),x89383))),f329(f329(f238(x89381),f14(x89381,x89382)),f14(x89381,x89383))) % 166.52/166.36 [9160]~P112(x91601)+~P1(f329(f62(x91601),x91603))+~P1(f329(f62(x91601),x91602))+E(f329(f329(f106(f918(x91601,a905)),x91602),x91603),f191(f918(x91601,a905)))+E(f329(f329(f237(x91601),f11(x91601,f237(x91601),f329(f329(f115(f918(x91601,a905)),x91602),x91603))),f11(x91601,f237(x91601),f329(f329(f106(f918(x91601,a905)),x91602),x91603))),f329(f329(f237(x91601),f11(x91601,f237(x91601),x91602)),f11(x91601,f237(x91601),x91603))) % 166.52/166.36 [9161]~P112(x91611)+~P1(f329(f62(x91611),x91613))+~P1(f329(f62(x91611),x91612))+E(f329(f329(f106(f918(x91611,a905)),x91612),x91613),f191(f918(x91611,a905)))+E(f329(f329(f238(x91611),f12(x91611,f238(x91611),f329(f329(f115(f918(x91611,a905)),x91612),x91613))),f12(x91611,f238(x91611),f329(f329(f106(f918(x91611,a905)),x91612),x91613))),f329(f329(f238(x91611),f12(x91611,f238(x91611),x91612)),f12(x91611,f238(x91611),x91613))) % 166.52/166.36 [9963]~P122(x99633)+E(x99631,x99632)+~P1(f329(f329(f239(x99633),f2(x99633)),x99632))+~P1(f329(f329(f239(x99633),f2(x99633)),x99631))+~E(f329(f329(f249(x99633),x99631),f329(f108(a910),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(x99633),x99632),f329(f108(a910),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))))) % 166.52/166.36 [6453]E(f869(x64531,x64532,x64533),x64534)+E(f329(x64531,x64534),f2(a910))+~E(f329(f329(f6(x64533,a910),x64531),x64532),f80(a910))+~P1(f329(f62(x64533),x64532))+~P1(f329(f329(f331(x64533),x64534),x64532)) % 166.52/166.36 [6518]E(f860(x65181,x65182,x65183),x65184)+E(f329(x65181,x65184),f2(a910))+~E(f329(f329(f6(x65183,a910),x65181),x65182),f329(a117,f2(a910)))+~P1(f329(f62(x65183),x65182))+~P1(f329(f329(f331(x65183),x65184),x65182)) % 166.52/166.36 [6627]~P112(x66271)+~P10(x66271)+P1(f329(f329(f240(x66271),x66272),f38(x66271,x66273)))+~P1(f329(f329(f240(x66271),x66272),x66274))+~P1(f329(f329(f331(x66271),x66274),x66273)) % 166.52/166.36 [6800]~P112(x68001)+~P10(x68001)+~P1(f329(f329(f240(x68001),x68004),x68003))+P1(f329(f329(f240(x68001),f39(x68001,x68002)),x68003))+~P1(f329(f329(f331(x68001),x68004),x68002)) % 166.52/166.36 [7055]~P122(x70553)+E(x70551,x70552)+~E(f329(f329(f249(x70553),x70551),f329(a117,x70554)),f329(f329(f249(x70553),x70552),f329(a117,x70554)))+~P1(f329(f329(f239(x70553),f2(x70553)),x70552))+~P1(f329(f329(f239(x70553),f2(x70553)),x70551)) % 166.52/166.36 [7263]~E(f876(x72632,x72633,x72631,x72634),x72634)+~E(f329(x72632,x72634),f80(a910))+E(f329(f329(f6(x72631,a910),x72632),x72633),f80(a910))+~P1(f329(f62(x72631),x72633))+~P1(f329(f329(f331(x72631),x72634),x72633)) % 166.52/166.36 [7270]~P116(x72704)+~P131(x72704)+E(f329(x72701,f466(x72701,x72702,x72703,x72704)),f2(x72704))+~E(f329(f329(f9(x72703,x72704),x72701),x72702),f2(x72704))+~P1(f329(f62(x72703),x72702)) % 166.52/166.36 [7360]~E(f863(x73602,x73603,x73601,x73604),x73604)+~E(f329(x73602,x73604),f329(a117,f2(a910)))+E(f329(f329(f6(x73601,a910),x73602),x73603),f329(a117,f2(a910)))+~P1(f329(f62(x73601),x73603))+~P1(f329(f329(f331(x73601),x73604),x73603)) % 166.52/166.36 [8112]~E(f329(x81122,x81124),f80(a910))+~E(f329(x81122,f876(x81122,x81123,x81121,x81124)),f2(a910))+E(f329(f329(f6(x81121,a910),x81122),x81123),f80(a910))+~P1(f329(f62(x81121),x81123))+~P1(f329(f329(f331(x81121),x81124),x81123)) % 166.52/166.36 [8156]~E(f329(x81562,x81564),f329(a117,f2(a910)))+~E(f329(x81562,f863(x81562,x81563,x81561,x81564)),f2(a910))+E(f329(f329(f6(x81561,a910),x81562),x81563),f329(a117,f2(a910)))+~P1(f329(f62(x81561),x81563))+~P1(f329(f329(f331(x81561),x81564),x81563)) % 166.52/166.36 [8720]~P112(x87201)+~P18(x87201,x87204)+P18(x87201,x87202)+~E(x87202,f329(f329(f154(x87201),x87203),x87204))+~P1(f329(f329(f239(x87201),x87203),f751(x87202,x87201,x87204,x87203))) % 166.52/166.36 [8755]E(x87551,x87552)+E(f329(f329(f82(a1),f376(x87553,x87552,x87554,x87551)),f371(x87553,x87552,x87554,x87551)),x87551)+~E(f329(f329(f23(a1),x87551),x87554),x87552)+~P1(f329(f329(f240(a1),f2(a1)),x87554))+~P1(f329(f329(f331(a1),x87552),x87553)) % 166.52/166.36 [8756]E(x87561,x87562)+E(f329(f329(f23(a1),f372(x87563,x87562,x87564,x87561)),f373(x87563,x87562,x87564,x87561)),x87561)+~E(f329(f329(f82(a1),x87561),x87564),x87562)+~P1(f329(f329(f240(a1),f2(a1)),x87564))+~P1(f329(f329(f331(a1),x87562),x87563)) % 166.52/166.36 [8933]E(f329(x89331,f591(x89332,x89331,x89333,x89334)),x89332)+P1(f329(f329(f239(a910),x89334),f592(x89332,x89331,x89333,x89334)))+~P1(f329(f329(f239(a1),x89332),f329(x89331,x89333)))+~P1(f329(f329(f240(a910),x89334),x89333))+~P1(f329(f329(f239(a1),f329(x89331,x89334)),x89332)) % 166.52/166.36 [8934]~P112(x89341)+~P18(x89341,x89343)+P18(x89341,x89342)+~E(x89342,f329(f329(f154(x89341),x89344),x89343))+P1(f329(f329(f331(x89341),f751(x89342,x89341,x89343,x89344)),f329(f175(x89341),x89343))) % 166.52/166.36 [8952]~P116(x89524)+~P131(x89524)+~E(f329(f329(f9(x89521,x89524),x89522),x89523),f2(x89524))+~P1(f329(f62(x89521),x89523))+P1(f329(f329(f331(x89521),f466(x89522,x89523,x89521,x89524)),x89523)) % 166.52/166.36 [8989]~E(f329(x89892,x89894),f80(a910))+E(f329(f329(f6(x89891,a910),x89892),x89893),f80(a910))+~P1(f329(f62(x89891),x89893))+~P1(f329(f329(f331(x89891),x89894),x89893))+P1(f329(f329(f331(x89891),f876(x89892,x89893,x89891,x89894)),x89893)) % 166.52/166.36 [9001]E(x90011,x90012)+~E(f329(f329(f82(a1),x90012),x90014),x90011)+~P1(f329(f329(f240(a1),f2(a1)),x90014))+~P1(f329(f329(f331(a1),x90011),x90013))+P1(f329(f329(f331(a1),f372(x90013,x90011,x90014,x90012)),x90013)) % 166.52/166.36 [9002]E(x90021,x90022)+~E(f329(f329(f23(a1),x90022),x90024),x90021)+~P1(f329(f329(f240(a1),f2(a1)),x90024))+~P1(f329(f329(f331(a1),x90021),x90023))+P1(f329(f329(f331(a1),f376(x90023,x90021,x90024,x90022)),x90023)) % 166.52/166.36 [9004]~E(f329(x90042,x90044),f329(a117,f2(a910)))+E(f329(f329(f6(x90041,a910),x90042),x90043),f329(a117,f2(a910)))+~P1(f329(f62(x90041),x90043))+~P1(f329(f329(f331(x90041),x90044),x90043))+P1(f329(f329(f331(x90041),f863(x90042,x90043,x90041,x90044)),x90043)) % 166.52/166.36 [9009]P66(x90092,x90093,x90094,x90091)+E(x90091,f191(f918(x90092,a905)))+~P1(f329(f62(x90092),x90094))+~P1(f329(f62(x90092),x90091))+P1(f329(f329(f331(x90092),f822(x90093,x90091,x90094,x90092)),x90094)) % 166.52/166.36 [9010]P66(x90102,x90103,x90104,x90101)+E(x90101,f191(f918(x90102,a905)))+~P1(f329(f62(x90102),x90104))+~P1(f329(f62(x90102),x90101))+P1(f329(f329(f331(x90102),f537(x90101,x90104,x90103,x90102)),x90104)) % 166.52/166.36 [9011]P66(x90112,x90113,x90114,x90111)+E(x90111,f191(f918(x90112,a905)))+~P1(f329(f62(x90112),x90114))+~P1(f329(f62(x90112),x90111))+P1(f329(f329(f331(x90112),f824(x90111,x90114,x90113,x90112)),x90114)) % 166.52/166.36 [9089]E(x90891,x90892)+~E(f329(f329(f82(a1),x90892),x90894),x90891)+~P1(f329(f329(f240(a1),f2(a1)),x90894))+~P1(f329(f329(f331(a1),x90891),x90893))+P1(f329(f329(f331(a1),f373(x90893,x90891,x90894,x90892)),f305(a1,f80(a1),x90894))) % 166.52/166.36 [9090]E(x90901,x90902)+~E(f329(f329(f23(a1),x90902),x90904),x90901)+~P1(f329(f329(f240(a1),f2(a1)),x90904))+~P1(f329(f329(f331(a1),x90901),x90903))+P1(f329(f329(f331(a1),f371(x90903,x90901,x90904,x90902)),f305(a1,f80(a1),x90904))) % 166.52/166.36 [9166]P1(f329(f329(f239(a910),x91661),f591(x91662,x91663,x91664,x91661)))+~P1(f329(f329(f239(a1),x91662),f329(x91663,x91664)))+P1(f329(f329(f239(a910),x91661),f592(x91662,x91663,x91664,x91661)))+~P1(f329(f329(f240(a910),x91661),x91664))+~P1(f329(f329(f239(a1),f329(x91663,x91661)),x91662)) % 166.52/166.36 [9289]E(f329(x92891,f591(x92892,x92891,x92893,x92894)),x92892)+~P1(f329(f329(f239(a1),x92892),f329(x92891,x92893)))+P1(f329(f329(f240(a910),f592(x92892,x92891,x92893,x92894)),x92893))+~P1(f329(f329(f240(a910),x92894),x92893))+~P1(f329(f329(f239(a1),f329(x92891,x92894)),x92892)) % 166.52/166.36 [9415]~P1(f329(f329(f239(a1),x94152),f329(x94153,x94154)))+P1(f329(f329(f239(a910),x94151),f592(x94152,x94153,x94154,x94151)))+P1(f329(f329(f239(a910),f591(x94152,x94153,x94154,x94151)),x94154))+~P1(f329(f329(f240(a910),x94151),x94154))+~P1(f329(f329(f239(a1),f329(x94153,x94151)),x94152)) % 166.52/166.36 [9416]~P1(f329(f329(f239(a1),x94162),f329(x94163,x94164)))+P1(f329(f329(f239(a910),x94161),f591(x94162,x94163,x94164,x94161)))+P1(f329(f329(f240(a910),f592(x94162,x94163,x94164,x94161)),x94164))+~P1(f329(f329(f240(a910),x94161),x94164))+~P1(f329(f329(f239(a1),f329(x94163,x94161)),x94162)) % 166.52/166.36 [9522]~P1(f329(f329(f239(a1),x95221),f329(x95222,x95223)))+P1(f329(f329(f240(a910),f592(x95221,x95222,x95223,x95224)),x95223))+~P1(f329(f329(f240(a910),x95224),x95223))+~P1(f329(f329(f239(a1),f329(x95222,x95224)),x95221))+P1(f329(f329(f239(a910),f591(x95221,x95222,x95223,x95224)),x95223)) % 166.52/166.36 [9609]E(x96091,f191(f918(x96092,a905)))+~P1(f329(f62(x96092),x96094))+~P1(f329(f62(x96092),x96091))+P1(f329(f329(f331(f917(f918(x96092,a905),f918(x96092,a905))),f329(f329(f257(f918(x96092,a905),f918(x96092,a905)),x96094),x96091)),f320(x96092,x96093)))+P1(f329(f329(f331(x96092),f540(x96093,x96091,x96094,x96092)),x96094)) % 166.52/166.36 [9610]E(x96101,f191(f918(x96102,a905)))+~P1(f329(f62(x96102),x96104))+~P1(f329(f62(x96102),x96101))+P1(f329(f329(f331(f917(f918(x96102,a905),f918(x96102,a905))),f329(f329(f257(f918(x96102,a905),f918(x96102,a905)),x96104),x96101)),f320(x96102,x96103)))+P1(f329(f329(f331(x96102),f589(x96103,x96101,x96104,x96102)),x96104)) % 166.52/166.36 [10266]E(f329(x102661,f591(x102662,x102661,x102663,x102664)),x102662)+~P1(f329(f329(f239(a1),x102662),f329(x102661,x102663)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x102661,f329(f329(f82(a910),f592(x102662,x102661,x102663,x102664)),f80(a910)))),f329(x102661,f592(x102662,x102661,x102663,x102664))))),f80(a1)))+~P1(f329(f329(f240(a910),x102664),x102663))+~P1(f329(f329(f239(a1),f329(x102661,x102664)),x102662)) % 166.52/166.36 [10267]~P1(f329(f329(f239(a1),x102672),f329(x102673,x102674)))+P1(f329(f329(f239(a910),x102671),f591(x102672,x102673,x102674,x102671)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x102673,f329(f329(f82(a910),f592(x102672,x102673,x102674,x102671)),f80(a910)))),f329(x102673,f592(x102672,x102673,x102674,x102671))))),f80(a1)))+~P1(f329(f329(f240(a910),x102671),x102674))+~P1(f329(f329(f239(a1),f329(x102673,x102671)),x102672)) % 166.52/166.36 [10268]~P1(f329(f329(f239(a1),x102681),f329(x102682,x102683)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x102682,f329(f329(f82(a910),f592(x102681,x102682,x102683,x102684)),f80(a910)))),f329(x102682,f592(x102681,x102682,x102683,x102684))))),f80(a1)))+~P1(f329(f329(f240(a910),x102684),x102683))+~P1(f329(f329(f239(a1),f329(x102682,x102684)),x102681))+P1(f329(f329(f239(a910),f591(x102681,x102682,x102683,x102684)),x102683)) % 166.52/166.36 [7323]~P73(x73231)+P1(f329(f329(f240(x73231),x73232),f2(x73231)))+~P1(f329(f329(f239(x73231),x73233),f2(x73231)))+P1(f329(f329(f240(x73231),f2(x73231)),x73232))+P1(f329(f329(f239(x73231),x73233),f329(f329(f292(x73231),x73234),x73232))) % 166.52/166.36 [7324]~P73(x73241)+P1(f329(f329(f240(x73241),x73242),f2(x73241)))+~P1(f329(f329(f240(x73241),x73243),f2(x73241)))+P1(f329(f329(f240(x73241),f2(x73241)),x73242))+P1(f329(f329(f240(x73241),x73243),f329(f329(f292(x73241),x73244),x73242))) % 166.52/166.36 [7585]~P73(x75851)+P1(f329(f329(f239(x75851),x75852),f2(x75851)))+P1(f329(f329(f240(x75851),x75853),f2(x75851)))+P1(f329(f329(f240(x75851),f2(x75851)),x75853))+~P1(f329(f329(f239(x75851),x75852),f329(f329(f292(x75851),x75854),x75853))) % 166.52/166.36 [7586]~P73(x75861)+P1(f329(f329(f240(x75861),x75862),f2(x75861)))+P1(f329(f329(f240(x75861),x75863),f2(x75861)))+P1(f329(f329(f240(x75861),f2(x75861)),x75863))+~P1(f329(f329(f240(x75861),x75862),f329(f329(f292(x75861),x75864),x75863))) % 166.52/166.36 [7701]E(x77011,x77012)+~E(f329(f329(f167(x77013),x77014),x77011),f329(f329(f167(x77013),x77014),x77012))+~P1(f329(f140(x77013),x77014))+~P1(f329(f329(f240(a910),x77012),f329(f192(f911(x77013)),x77014)))+~P1(f329(f329(f240(a910),x77011),f329(f192(f911(x77013)),x77014))) % 166.52/166.36 [8072]~P73(x80721)+~P1(f329(f329(f239(x80721),x80723),f2(x80721)))+P1(f329(f329(f240(x80721),f2(x80721)),x80722))+~P1(f329(f329(f239(x80721),x80724),f329(f329(f83(x80721),x80723),x80722)))+P1(f329(f329(f239(x80721),x80723),f329(f329(f292(x80721),x80724),x80722))) % 166.52/166.36 [8073]~P73(x80731)+~P1(f329(f329(f240(x80731),x80733),f2(x80731)))+P1(f329(f329(f240(x80731),f2(x80731)),x80732))+~P1(f329(f329(f240(x80731),x80734),f329(f329(f83(x80731),x80733),x80732)))+P1(f329(f329(f240(x80731),x80733),f329(f329(f292(x80731),x80734),x80732))) % 166.52/166.36 [8074]~P73(x80741)+~P1(f329(f329(f240(x80741),x80742),f2(x80741)))+P1(f329(f329(f240(x80741),f2(x80741)),x80742))+~P1(f329(f329(f239(x80741),x80744),f329(f329(f83(x80741),x80743),x80742)))+P1(f329(f329(f239(x80741),x80743),f329(f329(f292(x80741),x80744),x80742))) % 166.52/166.36 [8075]~P73(x80751)+~P1(f329(f329(f240(x80751),x80752),f2(x80751)))+P1(f329(f329(f240(x80751),f2(x80751)),x80752))+~P1(f329(f329(f239(x80751),x80754),f329(f329(f292(x80751),x80753),x80752)))+P1(f329(f329(f239(x80751),x80753),f329(f329(f83(x80751),x80754),x80752))) % 166.52/166.36 [8076]~P73(x80761)+~P1(f329(f329(f240(x80761),x80762),f2(x80761)))+P1(f329(f329(f240(x80761),f2(x80761)),x80762))+~P1(f329(f329(f240(x80761),x80764),f329(f329(f83(x80761),x80763),x80762)))+P1(f329(f329(f240(x80761),x80763),f329(f329(f292(x80761),x80764),x80762))) % 166.52/166.36 [8077]~P73(x80771)+~P1(f329(f329(f240(x80771),x80772),f2(x80771)))+P1(f329(f329(f240(x80771),f2(x80771)),x80772))+~P1(f329(f329(f240(x80771),x80774),f329(f329(f292(x80771),x80773),x80772)))+P1(f329(f329(f240(x80771),x80773),f329(f329(f83(x80771),x80774),x80772))) % 166.52/166.36 [8227]~P112(x82271)+~P18(x82271,x82272)+~P1(f329(f329(f239(a910),x82273),x82274))+P1(f329(f329(f239(x82271),f329(f329(f167(x82271),x82272),x82273)),f329(f329(f167(x82271),x82272),x82274)))+~P1(f329(f329(f240(a910),x82274),f329(f192(f911(x82271)),x82272))) % 166.52/166.36 [8277]~P122(x82771)+~P1(f329(f329(f239(x82771),x82772),f80(x82771)))+~P1(f329(f329(f239(x82771),f2(x82771)),x82772))+~P1(f329(f329(f239(a910),x82774),x82773))+P1(f329(f329(f239(x82771),f329(f329(f249(x82771),x82772),x82773)),f329(f329(f249(x82771),x82772),x82774))) % 166.52/166.36 [8278]~P122(x82781)+~P1(f329(f329(f240(x82781),x82782),f80(x82781)))+~P1(f329(f329(f240(x82781),f2(x82781)),x82782))+~P1(f329(f329(f240(a910),x82784),x82783))+P1(f329(f329(f240(x82781),f329(f329(f249(x82781),x82782),x82783)),f329(f329(f249(x82781),x82782),x82784))) % 166.52/166.36 [8279]~P122(x82791)+~P1(f329(f329(f239(x82791),f2(x82791)),x82792))+~P1(f329(f329(f240(a910),f2(a910)),x82793))+~P1(f329(f329(f240(x82791),x82792),x82794))+P1(f329(f329(f240(x82791),f329(f329(f249(x82791),x82792),x82793)),f329(f329(f249(x82791),x82794),x82793))) % 166.52/166.36 [8298]~P112(x82981)+~P18(x82981,f329(f171(x82981),x82982))+~P1(f329(f329(f239(a910),x82984),x82983))+P1(f329(f329(f239(x82981),f329(f329(f167(x82981),x82982),x82983)),f329(f329(f167(x82981),x82982),x82984)))+~P1(f329(f329(f240(a910),x82983),f329(f192(f911(x82981)),x82982))) % 166.52/166.36 [8546]~P73(x85461)+~P1(f329(f329(f239(x85461),x85462),f2(x85461)))+~P1(f329(f329(f239(x85461),x85463),x85464))+~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))) % 166.52/166.36 [8547]~P74(x85471)+~P1(f329(f329(f240(x85471),x85472),f2(x85471)))+~P1(f329(f329(f240(x85471),x85473),x85474))+~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))) % 166.52/166.36 [8556]~P74(x85561)+~P1(f329(f329(f239(x85561),x85564),x85563))+~P1(f329(f329(f239(x85561),f2(x85561)),x85562))+~P1(f329(f329(f240(x85561),f2(x85561)),f329(f329(f83(x85561),x85563),x85564)))+P1(f329(f329(f239(x85561),f329(f329(f292(x85561),x85562),x85563)),f329(f329(f292(x85561),x85562),x85564))) % 166.52/166.36 [8557]~P74(x85571)+~P1(f329(f329(f240(x85571),x85574),x85573))+~P1(f329(f329(f240(x85571),f2(x85571)),x85572))+~P1(f329(f329(f240(x85571),f2(x85571)),f329(f329(f83(x85571),x85573),x85574)))+P1(f329(f329(f240(x85571),f329(f329(f292(x85571),x85572),x85573)),f329(f329(f292(x85571),x85572),x85574))) % 166.52/166.36 [8670]P1(f329(x86701,x86702))+~P1(f329(f62(x86704),x86702))+P1(f329(x86701,f757(x86701,x86703,x86702,x86704)))+~P1(f329(x86701,f191(f918(x86704,a905))))+~P1(f329(f329(f239(f918(x86704,a905)),x86702),x86703)) % 166.52/166.36 [8678]P1(f329(x86781,x86782))+P1(f329(f62(x86783),f757(x86781,x86784,x86782,x86783)))+~P1(f329(f62(x86783),x86782))+~P1(f329(x86781,f191(f918(x86783,a905))))+~P1(f329(f329(f239(f918(x86783,a905)),x86782),x86784)) % 166.52/166.36 [8928]E(f329(f329(f82(a1),f377(x89281,x89282,x89283,x89284)),f378(x89281,x89282,x89283,x89284)),x89284)+~P1(f329(f329(f240(a1),f2(a1)),x89283))+~P1(f329(f329(f240(a1),x89282),x89284))+~P1(f329(f329(f331(a1),x89282),x89281))+P1(f329(f329(f240(a1),x89282),f329(f329(f23(a1),x89284),x89283))) % 166.52/166.36 [9146]~P1(f329(f329(f240(a1),f2(a1)),x91463))+~P1(f329(f329(f240(a1),x91462),x91464))+~P1(f329(f329(f331(a1),x91462),x91461))+P1(f329(f329(f331(a1),f377(x91461,x91462,x91463,x91464)),x91461))+P1(f329(f329(f240(a1),x91462),f329(f329(f23(a1),x91464),x91463))) % 166.52/166.36 [9159]P1(f329(x91591,x91592))+~P1(f329(f62(x91593),x91592))+P1(f329(f329(f331(x91593),f746(x91591,x91594,x91592,x91593)),x91594))+~P1(f329(x91591,f191(f918(x91593,a905))))+~P1(f329(f329(f239(f918(x91593,a905)),x91592),x91594)) % 166.52/166.36 [9176]E(f329(f329(f82(a1),f361(x91761,x91762,x91763,x91764)),f362(x91761,x91762,x91763,x91764)),x91764)+~P1(f329(f329(f240(a1),f2(a1)),x91763))+~P1(f329(f329(f239(a1),x91762),x91764))+P1(f329(f329(f239(a1),x91762),f329(f329(f23(a1),x91764),x91763)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x91762),f80(a1))),x91761)) % 166.52/166.36 [9230]~P1(f329(f329(f240(a1),f2(a1)),x92303))+~P1(f329(f329(f240(a1),x92301),x92302))+~P1(f329(f329(f331(a1),x92301),x92304))+P1(f329(f329(f331(a1),f378(x92304,x92301,x92303,x92302)),f305(a1,f80(a1),x92303)))+P1(f329(f329(f240(a1),x92301),f329(f329(f23(a1),x92302),x92303))) % 166.52/166.36 [9262]~P5(x92622)+~E(f807(x92623,x92624,x92621,x92622),f808(x92623,x92624,x92621,x92622))+~P1(f329(f62(x92621),f809(x92623,x92624,x92621,x92622)))+E(f329(f329(f6(f918(x92621,a905),x92622),f329(f6(x92621,x92622),x92623)),x92624),f329(f329(f6(x92621,x92622),x92623),f38(f918(x92621,a905),x92624)))+~P1(f329(f62(f918(x92621,a905)),x92624)) % 166.52/166.36 [9267]~P5(x92672)+~E(f329(x92673,f810(x92673,x92674,x92671,x92672)),f2(x92672))+~P1(f329(f62(x92671),f809(x92673,x92674,x92671,x92672)))+E(f329(f329(f6(f918(x92671,a905),x92672),f329(f6(x92671,x92672),x92673)),x92674),f329(f329(f6(x92671,x92672),x92673),f38(f918(x92671,a905),x92674)))+~P1(f329(f62(f918(x92671,a905)),x92674)) % 166.52/166.36 [9334]~P1(f329(f329(f240(a1),f2(a1)),x93343))+~P1(f329(f329(f239(a1),x93342),x93344))+P1(f329(f329(f331(a1),f361(x93341,x93342,x93343,x93344)),x93341))+P1(f329(f329(f239(a1),x93342),f329(f329(f23(a1),x93344),x93343)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x93342),f80(a1))),x93341)) % 166.52/166.36 [9374]~P1(f329(f329(f240(a1),f2(a1)),x93743))+~P1(f329(f329(f239(a1),x93741),x93742))+P1(f329(f329(f331(a1),f362(x93744,x93741,x93743,x93742)),f305(a1,f80(a1),x93743)))+P1(f329(f329(f239(a1),x93741),f329(f329(f23(a1),x93742),x93743)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x93741),f80(a1))),x93744)) % 166.52/166.36 [9395]~P5(x93952)+~E(f807(x93953,x93954,x93951,x93952),f808(x93953,x93954,x93951,x93952))+E(f329(f329(f6(f918(x93951,a905),x93952),f329(f6(x93951,x93952),x93953)),x93954),f329(f329(f6(x93951,x93952),x93953),f38(f918(x93951,a905),x93954)))+P1(f329(f329(f331(f918(x93951,a905)),f809(x93953,x93954,x93951,x93952)),x93954))+~P1(f329(f62(f918(x93951,a905)),x93954)) % 166.52/166.36 [9400]~P5(x94002)+~E(f329(x94003,f810(x94003,x94004,x94001,x94002)),f2(x94002))+E(f329(f329(f6(f918(x94001,a905),x94002),f329(f6(x94001,x94002),x94003)),x94004),f329(f329(f6(x94001,x94002),x94003),f38(f918(x94001,a905),x94004)))+P1(f329(f329(f331(f918(x94001,a905)),f809(x94003,x94004,x94001,x94002)),x94004))+~P1(f329(f62(f918(x94001,a905)),x94004)) % 166.52/166.36 [9500]~P5(x95002)+~P1(f329(f62(x95001),f809(x95003,x95004,x95001,x95002)))+E(f329(f329(f6(f918(x95001,a905),x95002),f329(f6(x95001,x95002),x95003)),x95004),f329(f329(f6(x95001,x95002),x95003),f38(f918(x95001,a905),x95004)))+P1(f329(f329(f331(f918(x95001,a905)),f808(x95003,x95004,x95001,x95002)),x95004))+~P1(f329(f62(f918(x95001,a905)),x95004)) % 166.52/166.36 [9501]~P5(x95012)+~P1(f329(f62(x95011),f809(x95013,x95014,x95011,x95012)))+E(f329(f329(f6(f918(x95011,a905),x95012),f329(f6(x95011,x95012),x95013)),x95014),f329(f329(f6(x95011,x95012),x95013),f38(f918(x95011,a905),x95014)))+P1(f329(f329(f331(f918(x95011,a905)),f807(x95013,x95014,x95011,x95012)),x95014))+~P1(f329(f62(f918(x95011,a905)),x95014)) % 166.52/166.36 [9579]~P5(x95792)+E(f329(f329(f6(f918(x95791,a905),x95792),f329(f6(x95791,x95792),x95793)),x95794),f329(f329(f6(x95791,x95792),x95793),f38(f918(x95791,a905),x95794)))+P1(f329(f329(f331(f918(x95791,a905)),f809(x95793,x95794,x95791,x95792)),x95794))+P1(f329(f329(f331(f918(x95791,a905)),f808(x95793,x95794,x95791,x95792)),x95794))+~P1(f329(f62(f918(x95791,a905)),x95794)) % 166.52/166.36 [9580]~P5(x95802)+E(f329(f329(f6(f918(x95801,a905),x95802),f329(f6(x95801,x95802),x95803)),x95804),f329(f329(f6(x95801,x95802),x95803),f38(f918(x95801,a905),x95804)))+P1(f329(f329(f331(f918(x95801,a905)),f809(x95803,x95804,x95801,x95802)),x95804))+P1(f329(f329(f331(f918(x95801,a905)),f807(x95803,x95804,x95801,x95802)),x95804))+~P1(f329(f62(f918(x95801,a905)),x95804)) % 166.52/166.36 [9598]~P5(x95982)+P1(f329(f329(f331(x95981),f810(x95983,x95984,x95981,x95982)),f808(x95983,x95984,x95981,x95982)))+~P1(f329(f62(x95981),f809(x95983,x95984,x95981,x95982)))+E(f329(f329(f6(f918(x95981,a905),x95982),f329(f6(x95981,x95982),x95983)),x95984),f329(f329(f6(x95981,x95982),x95983),f38(f918(x95981,a905),x95984)))+~P1(f329(f62(f918(x95981,a905)),x95984)) % 166.52/166.36 [9599]~P5(x95992)+P1(f329(f329(f331(x95991),f810(x95993,x95994,x95991,x95992)),f807(x95993,x95994,x95991,x95992)))+~P1(f329(f62(x95991),f809(x95993,x95994,x95991,x95992)))+E(f329(f329(f6(f918(x95991,a905),x95992),f329(f6(x95991,x95992),x95993)),x95994),f329(f329(f6(x95991,x95992),x95993),f38(f918(x95991,a905),x95994)))+~P1(f329(f62(f918(x95991,a905)),x95994)) % 166.52/166.36 [9612]P1(f329(x96121,x96122))+~P1(f329(f329(f331(x96123),f746(x96121,x96124,x96122,x96123)),f757(x96121,x96124,x96122,x96123)))+~P1(f329(f62(x96123),x96122))+~P1(f329(x96121,f191(f918(x96123,a905))))+~P1(f329(f329(f239(f918(x96123,a905)),x96122),x96124)) % 166.52/166.36 [9650]~P5(x96502)+P1(f329(f329(f331(x96501),f810(x96503,x96504,x96501,x96502)),f808(x96503,x96504,x96501,x96502)))+E(f329(f329(f6(f918(x96501,a905),x96502),f329(f6(x96501,x96502),x96503)),x96504),f329(f329(f6(x96501,x96502),x96503),f38(f918(x96501,a905),x96504)))+P1(f329(f329(f331(f918(x96501,a905)),f809(x96503,x96504,x96501,x96502)),x96504))+~P1(f329(f62(f918(x96501,a905)),x96504)) % 166.52/166.36 [9651]~P5(x96512)+P1(f329(f329(f331(x96511),f810(x96513,x96514,x96511,x96512)),f807(x96513,x96514,x96511,x96512)))+E(f329(f329(f6(f918(x96511,a905),x96512),f329(f6(x96511,x96512),x96513)),x96514),f329(f329(f6(x96511,x96512),x96513),f38(f918(x96511,a905),x96514)))+P1(f329(f329(f331(f918(x96511,a905)),f809(x96513,x96514,x96511,x96512)),x96514))+~P1(f329(f62(f918(x96511,a905)),x96514)) % 166.52/166.36 [9827]P1(f329(x98271,x98272))+~P1(f329(f62(x98273),x98272))+~P1(f329(x98271,f329(f329(f311(x98273),f746(x98271,x98274,x98272,x98273)),f757(x98271,x98274,x98272,x98273))))+~P1(f329(x98271,f191(f918(x98273,a905))))+~P1(f329(f329(f239(f918(x98273,a905)),x98272),x98274)) % 166.52/166.36 [7836]~P73(x78361)+P1(f329(f329(f240(x78361),x78362),f2(x78361)))+~P1(f329(f329(f239(x78361),f2(x78361)),x78364))+P1(f329(f329(f240(x78361),f2(x78361)),x78362))+P1(f329(f329(f239(x78361),f329(f329(f292(x78361),x78363),x78362)),x78364)) % 166.52/166.36 [7837]~P73(x78371)+P1(f329(f329(f240(x78371),x78372),f2(x78371)))+P1(f329(f329(f240(x78371),f2(x78371)),x78372))+~P1(f329(f329(f240(x78371),f2(x78371)),x78374))+P1(f329(f329(f240(x78371),f329(f329(f292(x78371),x78373),x78372)),x78374)) % 166.52/166.36 [8059]~P10(x80591)+~P46(x80591,x80591,x80594)+~E(x80593,f101(x80591,x80594))+P1(f329(f329(f239(x80591),x80592),x80593))+~P1(f329(f329(f239(x80591),x80592),f329(x80594,f329(f329(f115(x80591),x80592),x80593)))) % 166.52/166.36 [8128]~P1(f329(f329(f239(a1),x81284),f2(a1)))+~E(x81282,f329(f329(f82(a1),f329(f329(f83(a1),x81281),x81283)),x81284))+P1(f329(f329(f240(a1),f2(a1)),x81281))+~P1(f329(f329(f240(a1),x81281),x81284))+P1(f329(f50(x81282,x81281),f329(f329(f257(a1,a1),x81283),x81284))) % 166.52/166.36 [8167]~P1(f329(x81671,x81674))+P1(f329(x81671,f384(x81672,x81671,x81673)))+~P1(f329(f329(f239(a1),f2(a1)),x81672))+~P1(f329(f329(f240(a1),f2(a1)),x81673))+P1(f329(x81671,f329(f329(f23(a1),x81674),f329(f329(f83(a1),x81672),x81673)))) % 166.52/166.36 [8168]~P1(f329(x81681,x81684))+P1(f329(x81681,f386(x81682,x81681,x81683)))+~P1(f329(f329(f239(a1),f2(a1)),x81682))+~P1(f329(f329(f240(a1),f2(a1)),x81683))+P1(f329(x81681,f329(f329(f82(a1),x81684),f329(f329(f83(a1),x81682),x81683)))) % 166.52/166.36 [8169]~P73(x81691)+P1(f329(f329(f240(x81691),x81692),f2(x81691)))+P1(f329(f329(f240(x81691),f2(x81691)),x81692))+P1(f329(f329(f239(x81691),f2(x81691)),x81693))+~P1(f329(f329(f239(x81691),f329(f329(f292(x81691),x81694),x81692)),x81693)) % 166.52/166.36 [8170]~P73(x81701)+P1(f329(f329(f240(x81701),x81702),f2(x81701)))+P1(f329(f329(f240(x81701),f2(x81701)),x81702))+P1(f329(f329(f240(x81701),f2(x81701)),x81703))+~P1(f329(f329(f240(x81701),f329(f329(f292(x81701),x81704),x81702)),x81703)) % 166.52/166.36 [8222]~E(x82221,f329(f329(f82(a1),f329(f329(f83(a1),x82222),x82223)),x82224))+~P1(f329(f329(f239(a1),f2(a1)),x82224))+~P1(f329(f329(f240(a1),f2(a1)),x82222))+~P1(f329(f329(f240(a1),x82224),x82222))+P1(f329(f50(x82221,x82222),f329(f329(f257(a1,a1),x82223),x82224))) % 166.52/166.36 [8338]~P73(x83381)+P1(f329(f329(f240(x83381),x83382),f2(x83381)))+~P1(f329(f329(f239(x83381),f2(x83381)),x83384))+~P1(f329(f329(f239(x83381),x83383),f329(f329(f83(x83381),x83384),x83382)))+P1(f329(f329(f239(x83381),f329(f329(f292(x83381),x83383),x83382)),x83384)) % 166.52/166.36 [8339]~P73(x83391)+P1(f329(f329(f240(x83391),x83392),f2(x83391)))+~P1(f329(f329(f240(x83391),f2(x83391)),x83394))+~P1(f329(f329(f240(x83391),x83393),f329(f329(f83(x83391),x83394),x83392)))+P1(f329(f329(f240(x83391),f329(f329(f292(x83391),x83393),x83392)),x83394)) % 166.52/166.36 [8424]~P73(x84241)+P1(f329(f329(f240(x84241),x84242),f2(x84241)))+~P1(f329(f329(f239(x84241),x84243),f2(x84241)))+P1(f329(f329(f239(x84241),x84243),f329(f329(f292(x84241),x84244),x84242)))+~P1(f329(f329(f239(x84241),f329(f329(f83(x84241),x84243),x84242)),x84244)) % 166.52/166.36 [8425]~P73(x84251)+P1(f329(f329(f240(x84251),x84252),f2(x84251)))+~P1(f329(f329(f240(x84251),x84253),f2(x84251)))+P1(f329(f329(f240(x84251),x84253),f329(f329(f292(x84251),x84254),x84252)))+~P1(f329(f329(f240(x84251),f329(f329(f83(x84251),x84253),x84252)),x84254)) % 166.52/166.36 [8584]~P73(x85841)+~P1(f329(f329(f240(x85841),x85842),f2(x85841)))+P1(f329(f329(f240(x85841),f2(x85841)),x85842))+~P1(f329(f329(f239(x85841),f329(f329(f292(x85841),x85844),x85842)),x85843))+P1(f329(f329(f239(x85841),f329(f329(f83(x85841),x85843),x85842)),x85844)) % 166.52/166.36 [8585]~P73(x85851)+~P1(f329(f329(f240(x85851),x85852),f2(x85851)))+P1(f329(f329(f240(x85851),f2(x85851)),x85852))+~P1(f329(f329(f239(x85851),f329(f329(f83(x85851),x85854),x85852)),x85853))+P1(f329(f329(f239(x85851),f329(f329(f292(x85851),x85853),x85852)),x85854)) % 166.52/166.36 [8586]~P73(x85861)+~P1(f329(f329(f240(x85861),x85862),f2(x85861)))+P1(f329(f329(f240(x85861),f2(x85861)),x85862))+~P1(f329(f329(f240(x85861),f329(f329(f292(x85861),x85864),x85862)),x85863))+P1(f329(f329(f240(x85861),f329(f329(f83(x85861),x85863),x85862)),x85864)) % 166.52/166.36 [8587]~P73(x85871)+~P1(f329(f329(f240(x85871),x85872),f2(x85871)))+P1(f329(f329(f240(x85871),f2(x85871)),x85872))+~P1(f329(f329(f240(x85871),f329(f329(f83(x85871),x85874),x85872)),x85873))+P1(f329(f329(f240(x85871),f329(f329(f292(x85871),x85873),x85872)),x85874)) % 166.52/166.36 [8606]~P73(x86061)+~P1(f329(f329(f239(x86061),f2(x86061)),x86064))+P1(f329(f329(f240(x86061),f2(x86061)),x86062))+~P1(f329(f329(f239(x86061),f329(f329(f83(x86061),x86064),x86062)),x86063))+P1(f329(f329(f239(x86061),f329(f329(f292(x86061),x86063),x86062)),x86064)) % 166.52/166.36 [8607]~P73(x86071)+~P1(f329(f329(f240(x86071),f2(x86071)),x86074))+P1(f329(f329(f240(x86071),f2(x86071)),x86072))+~P1(f329(f329(f240(x86071),f329(f329(f83(x86071),x86074),x86072)),x86073))+P1(f329(f329(f240(x86071),f329(f329(f292(x86071),x86073),x86072)),x86074)) % 166.52/166.36 [8686]~P73(x86861)+~P1(f329(f329(f240(x86861),x86864),f2(x86861)))+~P1(f329(f329(f239(x86861),x86863),f329(f329(f83(x86861),x86862),x86864)))+P1(f329(f329(f239(x86861),x86862),f329(f329(f292(x86861),x86863),x86864)))+~P1(f329(f329(f239(x86861),f329(f329(f83(x86861),x86862),x86864)),x86863)) % 166.52/166.36 [8687]~P73(x86871)+~P1(f329(f329(f239(x86871),x86872),f2(x86871)))+~P1(f329(f329(f239(x86871),x86873),f329(f329(f83(x86871),x86872),x86874)))+P1(f329(f329(f239(x86871),x86872),f329(f329(f292(x86871),x86873),x86874)))+~P1(f329(f329(f239(x86871),f329(f329(f83(x86871),x86872),x86874)),x86873)) % 166.52/166.36 [8688]~P73(x86881)+~P1(f329(f329(f240(x86881),x86884),f2(x86881)))+~P1(f329(f329(f240(x86881),x86883),f329(f329(f83(x86881),x86882),x86884)))+P1(f329(f329(f240(x86881),x86882),f329(f329(f292(x86881),x86883),x86884)))+~P1(f329(f329(f240(x86881),f329(f329(f83(x86881),x86882),x86884)),x86883)) % 166.52/166.36 [8689]~P73(x86891)+~P1(f329(f329(f240(x86891),x86892),f2(x86891)))+~P1(f329(f329(f240(x86891),x86893),f329(f329(f83(x86891),x86892),x86894)))+P1(f329(f329(f240(x86891),x86892),f329(f329(f292(x86891),x86893),x86894)))+~P1(f329(f329(f240(x86891),f329(f329(f83(x86891),x86892),x86894)),x86893)) % 166.52/166.36 [8802]~P73(x88021)+~P1(f329(f329(f240(x88021),x88023),f2(x88021)))+~P1(f329(f329(f239(x88021),x88022),f329(f329(f83(x88021),x88024),x88023)))+~P1(f329(f329(f239(x88021),f329(f329(f83(x88021),x88024),x88023)),x88022))+P1(f329(f329(f239(x88021),f329(f329(f292(x88021),x88022),x88023)),x88024)) % 166.52/166.36 [8803]~P73(x88031)+~P1(f329(f329(f240(x88031),x88033),f2(x88031)))+~P1(f329(f329(f240(x88031),x88032),f329(f329(f83(x88031),x88034),x88033)))+~P1(f329(f329(f240(x88031),f329(f329(f83(x88031),x88034),x88033)),x88032))+P1(f329(f329(f240(x88031),f329(f329(f292(x88031),x88032),x88033)),x88034)) % 166.52/166.36 [8819]~P73(x88191)+~P1(f329(f329(f239(x88191),f2(x88191)),x88194))+~P1(f329(f329(f239(x88191),x88192),f329(f329(f83(x88191),x88194),x88193)))+~P1(f329(f329(f239(x88191),f329(f329(f83(x88191),x88194),x88193)),x88192))+P1(f329(f329(f239(x88191),f329(f329(f292(x88191),x88192),x88193)),x88194)) % 166.52/166.36 [8820]~P73(x88201)+~P1(f329(f329(f240(x88201),f2(x88201)),x88204))+~P1(f329(f329(f240(x88201),x88202),f329(f329(f83(x88201),x88204),x88203)))+~P1(f329(f329(f240(x88201),f329(f329(f83(x88201),x88204),x88203)),x88202))+P1(f329(f329(f240(x88201),f329(f329(f292(x88201),x88202),x88203)),x88204)) % 166.52/166.36 [8994]E(f329(f329(f23(a1),f379(x89941,x89942,x89943,x89944)),f380(x89941,x89942,x89943,x89944)),x89944)+~P1(f329(f329(f240(a1),f2(a1)),x89943))+~P1(f329(f329(f331(a1),x89942),x89941))+~P1(f329(f329(f240(a1),x89944),x89942))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x89944),x89943)),x89942)) % 166.52/166.36 [9071]~P1(f329(x90711,x90712))+~P1(f329(f329(f239(a1),f2(a1)),x90713))+~P1(f329(f329(f240(a1),f2(a1)),x90714))+~P1(f329(x90711,f329(f329(f82(a1),f386(x90713,x90711,x90714)),x90714)))+P1(f329(x90711,f329(f329(f82(a1),x90712),f329(f329(f83(a1),x90713),x90714)))) % 166.52/166.36 [9072]~P1(f329(x90721,x90722))+~P1(f329(f329(f239(a1),f2(a1)),x90723))+~P1(f329(f329(f240(a1),f2(a1)),x90724))+~P1(f329(x90721,f329(f329(f23(a1),f384(x90723,x90721,x90724)),x90724)))+P1(f329(x90721,f329(f329(f23(a1),x90722),f329(f329(f83(a1),x90723),x90724)))) % 166.52/166.36 [9223]~P1(f329(f329(f240(a1),f2(a1)),x92233))+~P1(f329(f329(f331(a1),x92232),x92231))+~P1(f329(f329(f240(a1),x92234),x92232))+P1(f329(f329(f331(a1),f379(x92231,x92232,x92233,x92234)),x92231))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x92234),x92233)),x92232)) % 166.52/166.36 [9243]E(f329(f329(f23(a1),f367(x92431,x92432,x92433,x92434)),f363(x92431,x92432,x92433,x92434)),x92434)+~P1(f329(f329(f240(a1),f2(a1)),x92433))+~P1(f329(f329(f239(a1),x92434),x92432))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x92432),f80(a1))),x92431))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x92434),x92433)),x92432)) % 166.52/166.36 [9279]~P1(f329(f329(f240(a1),f2(a1)),x92792))+~P1(f329(f329(f331(a1),x92793),x92794))+~P1(f329(f329(f240(a1),x92791),x92793))+P1(f329(f329(f331(a1),f380(x92794,x92793,x92792,x92791)),f305(a1,f80(a1),x92792)))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x92791),x92792)),x92793)) % 166.52/166.36 [9366]~P1(f329(f329(f240(a1),f2(a1)),x93663))+~P1(f329(f329(f239(a1),x93664),x93662))+P1(f329(f329(f331(a1),f367(x93661,x93662,x93663,x93664)),x93661))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x93662),f80(a1))),x93661))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x93664),x93663)),x93662)) % 166.52/166.36 [9411]~P1(f329(f329(f240(a1),f2(a1)),x94112))+~P1(f329(f329(f239(a1),x94111),x94113))+P1(f329(f329(f331(a1),f363(x94114,x94113,x94112,x94111)),f305(a1,f80(a1),x94112)))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x94113),f80(a1))),x94114))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x94111),x94112)),x94113)) % 166.52/166.36 [9703]~P43(x97031,x97033)+~P32(x97031,x97034)+P43(x97031,f329(f329(f115(f918(f917(x97031,x97031),a905)),x97032),x97033))+~P1(f329(f329(f239(f918(f917(x97031,x97031),a905)),x97032),f329(f256(f918(f917(x97031,x97031),a905),f918(f917(x97031,x97031),a905)),x97034)))+~P1(f329(f329(f239(f918(f917(x97031,x97031),a905)),x97033),f329(f261(f918(f917(x97031,x97031),a905),f918(f917(x97031,x97031),a905)),x97034))) % 166.52/166.36 [10082]~P23(x100822,x100824,x100823)+E(x100821,f191(f918(x100822,a905)))+~P1(f329(f62(x100822),x100821))+P1(f329(f329(f331(x100822),f329(x100823,x100821)),x100821))+~P1(f329(f329(f331(x100822),f329(f329(x100824,f782(x100821,x100823,x100824,x100822)),f792(x100821,x100823,x100824,x100822))),f329(f329(f311(x100822),f782(x100821,x100823,x100824,x100822)),f329(f329(f311(x100822),f792(x100821,x100823,x100824,x100822)),f191(f918(x100822,a905)))))) % 166.52/166.36 [8713]~P10(x87131)+~P46(x87131,x87131,x87134)+~E(x87132,f100(x87131,x87134))+P1(f329(f329(f239(x87131),x87132),x87133))+~P1(f329(f329(f239(x87131),f329(x87134,f329(f329(f106(x87131),x87132),x87133))),x87133)) % 166.52/166.36 [10016]~P114(x100162)+~P70(x100161)+~P1(f329(f329(f239(f918(x100161,x100162)),x100163),x100164))+P1(f329(f329(f240(f918(x100161,x100162)),x100163),x100164))+~P1(f329(f57(x100161),f329(f329(f8(a905,a905,x100161),a324),f329(f329(f18(x100161,x100162,a905),f329(f329(f8(x100162,f918(x100162,a905),x100161),a326),x100163)),x100164)))) % 166.52/166.36 [9619]~P62(x96191,x96191,x96194)+P1(f329(f329(f331(f917(x96191,x96191)),f329(f329(f257(x96191,x96191),x96192),x96193)),f309(x96191,x96194)))+P1(f329(f329(f331(f917(x96191,x96191)),f329(f329(f257(x96191,x96191),x96193),x96192)),f309(x96191,x96194)))+~P1(f329(f329(f331(f917(x96191,x96191)),f329(f329(f257(x96191,x96191),x96195),x96192)),f309(x96191,x96194)))+~P1(f329(f329(f331(f917(x96191,x96191)),f329(f329(f257(x96191,x96191),x96195),x96193)),f309(x96191,x96194))) % 166.52/166.36 [5729]E(x57291,f2(a910))+~E(f329(f36(x57292),x57295),x57291)+E(f329(f36(x57292),x57293),f329(a117,x57291))+~E(x57293,f329(f329(f311(x57292),x57294),x57295))+P1(f329(f329(f331(x57292),x57294),x57295)) % 166.52/166.36 [5852]~P72(x58522)+E(x58521,f2(x58522))+E(x58523,f2(x58522))+~E(f329(f329(f292(x58522),x58524),x58523),f329(f329(f292(x58522),x58525),x58521))+E(f329(f329(f83(x58522),x58524),x58521),f329(f329(f83(x58522),x58525),x58523)) % 166.52/166.36 [5853]~P72(x58532)+E(x58531,f2(x58532))+E(x58533,f2(x58532))+~E(f329(f329(f83(x58532),x58534),x58533),f329(f329(f83(x58532),x58535),x58531))+E(f329(f329(f292(x58532),x58534),x58531),f329(f329(f292(x58532),x58535),x58533)) % 166.52/166.36 [5920]~E(f329(f36(x59201),x59205),x59203)+~E(x59205,f191(f918(x59201,a905)))+E(f329(f36(x59201),x59202),f329(a117,x59203))+~E(x59202,f329(f329(f311(x59201),x59204),x59205))+P1(f329(f329(f331(x59201),x59204),x59205)) % 166.52/166.36 [6158]~P116(x61582)+~E(f329(x61583,x61585),f2(x61582))+E(f329(f329(f9(x61581,x61582),x61583),x61584),f2(x61582))+~P1(f329(f62(x61581),x61584))+~P1(f329(f329(f331(x61581),x61585),x61584)) % 166.52/166.36 [6531]~P112(x65313)+E(x65311,x65312)+~E(f329(f304(x65313,x65314),x65311),f329(f304(x65313,x65315),x65312))+~P1(f329(f329(f240(x65313),x65315),x65312))+~P1(f329(f329(f240(x65313),x65314),x65311)) % 166.52/166.36 [6532]~P112(x65323)+E(x65321,x65322)+~E(f329(f304(x65323,x65321),x65324),f329(f304(x65323,x65322),x65325))+~P1(f329(f329(f240(x65323),x65322),x65325))+~P1(f329(f329(f240(x65323),x65321),x65324)) % 166.52/166.36 [6698]~P114(x66981)+~P46(x66985,x66981,x66982)+~P114(x66985)+P1(f329(f329(f239(x66981),f329(x66982,x66983)),f329(x66982,x66984)))+~P1(f329(f329(f239(x66985),x66983),x66984)) % 166.52/166.36 [7602]~P112(x76021)+~P18(x76021,f329(f329(f137(x76021),x76024),x76025))+~P1(f329(f329(f331(x76021),x76023),f329(f175(x76021),x76025)))+~P1(f329(f329(f331(x76021),x76022),f329(f175(x76021),x76024)))+P1(f329(f329(f239(x76021),x76022),x76023)) % 166.52/166.36 [8722]~P114(x87221)+~P1(f329(f329(f240(f918(x87221,a905)),f305(x87221,x87225,x87222)),f305(x87221,x87224,x87223)))+~P1(f329(f329(f239(x87221),x87225),x87222))+P1(f329(f329(f240(x87221),x87222),x87223))+P1(f329(f329(f240(x87221),x87224),x87225)) % 166.52/166.36 [9740]~P46(f918(x97404,a905),f918(x97404,a905),x97405)+P1(f329(x97401,x97402))+~E(x97403,f100(f918(x97404,a905),x97405))+~P1(f329(x97401,f476(x97401,x97402,x97405,x97404,x97403)))+~P1(f329(f329(f331(x97404),x97402),x97403)) % 166.52/166.36 [10125]~P22(x101252,x101255,x101253)+E(x101251,f191(f918(x101252,a905)))+~E(f329(f329(x101255,f329(x101254,f803(x101251,x101254,x101253,x101255,x101252))),f329(x101254,f814(x101251,x101254,x101253,x101255,x101252))),f329(x101254,f329(f329(x101255,f803(x101251,x101254,x101253,x101255,x101252)),f814(x101251,x101254,x101253,x101255,x101252))))+E(f329(x101253,f329(f312(x101252,x101252,x101254),x101251)),f329(x101254,f329(x101253,x101251)))+~P1(f329(f62(x101252),x101251)) % 166.52/166.36 [6528]~P23(x65282,x65285,x65283)+E(x65281,f191(f918(x65282,a905)))+~P1(f329(f62(x65282),x65281))+E(f329(x65283,f329(f329(f311(x65282),x65284),x65281)),f329(f329(x65285,x65284),f329(x65283,x65281)))+P1(f329(f329(f331(x65282),x65284),x65281)) % 166.52/166.36 [7351]~P22(x73512,x73513,x73514)+E(f329(f329(x73513,f329(x73514,x73511)),f329(x73514,x73515)),f329(x73514,x73515))+E(x73511,f191(f918(x73512,a905)))+~P1(f329(f62(x73512),x73515))+~P1(f329(f329(f239(f918(x73512,a905)),x73511),x73515)) % 166.52/166.36 [7734]~P23(x77344,x77345,x77341)+E(f329(x77341,x77342),x77343)+~P1(f329(f62(x77344),x77342))+~E(f329(f329(f23(f918(x77344,a905)),x77342),f329(f329(f311(x77344),x77343),f191(f918(x77344,a905)))),f191(f918(x77344,a905)))+~P1(f329(f329(f331(x77344),x77343),x77342)) % 166.52/166.36 [8693]E(x86931,x86932)+~P13(x86933,x86934,x86935)+E(f329(f329(f106(f918(x86933,a905)),x86931),x86932),f191(f918(x86933,a905)))+~P1(f329(f329(f331(f918(x86933,a905)),x86932),f329(f329(f61(x86933),x86934),x86935)))+~P1(f329(f329(f331(f918(x86933,a905)),x86931),f329(f329(f61(x86933),x86934),x86935))) % 166.52/166.36 [9493]~P5(x94932)+~E(f329(x94933,f880(x94933,x94934,x94935,x94931,x94932)),f2(x94932))+E(f329(f329(f6(x94931,x94932),x94933),x94934),f329(f329(f6(x94931,x94932),x94933),x94935))+~P1(f329(f62(x94931),x94935))+~P1(f329(f329(f239(f918(x94931,a905)),x94934),x94935)) % 166.52/166.36 [9494]~P5(x94942)+~E(f329(x94943,f881(x94943,x94944,x94945,x94941,x94942)),f2(x94942))+E(f329(f329(f6(x94941,x94942),x94943),x94944),f329(f329(f6(x94941,x94942),x94943),x94945))+~P1(f329(f62(x94941),x94945))+~P1(f329(f329(f239(f918(x94941,a905)),x94944),x94945)) % 166.52/166.36 [9495]~P80(x94952)+~E(f329(x94953,f480(x94953,x94954,x94955,x94951,x94952)),f80(x94952))+E(f329(f329(f9(x94951,x94952),x94953),x94954),f329(f329(f9(x94951,x94952),x94953),x94955))+~P1(f329(f62(x94951),x94955))+~P1(f329(f329(f239(f918(x94951,a905)),x94954),x94955)) % 166.52/166.36 [9496]~P80(x94962)+~E(f329(x94963,f483(x94963,x94964,x94965,x94961,x94962)),f80(x94962))+E(f329(f329(f9(x94961,x94962),x94963),x94964),f329(f329(f9(x94961,x94962),x94963),x94965))+~P1(f329(f62(x94961),x94965))+~P1(f329(f329(f239(f918(x94961,a905)),x94964),x94965)) % 166.52/166.36 [9916]~P46(f918(x99161,a905),f918(x99161,a905),f329(f329(f8(f918(x99161,a905),f918(x99161,a905),f918(x99161,a905)),f267(x99161)),x99164))+~P1(f329(f329(x99164,f329(f329(f115(f918(x99161,a905)),x99165),x99163)),f474(x99165,x99162,x99164,x99161,x99163)))+~E(x99163,f101(f918(x99161,a905),f329(f329(f8(f918(x99161,a905),f918(x99161,a905),f918(x99161,a905)),f267(x99161)),x99164)))+P1(f329(f329(f331(x99161),x99162),x99163))+~P1(f329(f329(f331(x99161),x99162),x99165)) % 166.52/166.36 [9920]~P46(f918(x99201,a905),f918(x99201,a905),f329(f329(f8(f918(x99201,a905),f918(x99201,a905),f918(x99201,a905)),f267(x99201)),x99205))+~E(x99203,f101(f918(x99201,a905),f329(f329(f8(f918(x99201,a905),f918(x99201,a905),f918(x99201,a905)),f267(x99201)),x99205)))+~P1(f329(f329(f331(x99201),x99202),x99204))+P1(f329(f329(f331(x99201),f474(x99204,x99202,x99205,x99201,x99203)),x99204))+P1(f329(f329(f331(x99201),x99202),x99203)) % 166.52/166.36 [9971]~P90(x99711)+~P1(f329(f62(x99712),x99715))+~P1(f329(f329(f239(x99711),f2(x99711)),f329(x99713,f865(x99713,x99714,x99715,x99712,x99711))))+P1(f329(f329(f239(x99711),f329(f329(f6(x99712,x99711),x99713),x99714)),f329(f329(f6(x99712,x99711),x99713),x99715)))+~P1(f329(f329(f239(f918(x99712,a905)),x99714),x99715)) % 166.52/166.36 [7599]E(x75991,f2(a910))+P1(f329(x75992,x75993))+~E(x75994,f329(f329(f82(a910),f329(f329(f83(a910),x75991),x75993)),x75995))+~P1(f329(f329(f240(a910),x75995),x75991))+~P1(f329(x75992,f329(f329(f37(a910),x75994),x75991))) % 166.52/166.36 [7674]E(x76741,f2(a910))+P1(f329(x76742,x76743))+~P1(f329(x76742,f46(a910,x76744,x76741)))+~E(x76744,f329(f329(f82(a910),f329(f329(f83(a910),x76741),x76745)),x76743))+~P1(f329(f329(f240(a910),x76743),x76741)) % 166.52/166.36 [7972]~P72(x79723)+E(f329(x79721,x79722),f2(x79723))+~P1(f329(f62(x79724),x79725))+E(f329(f329(f9(x79724,x79723),x79721),f329(f329(f23(f918(x79724,a905)),x79725),f329(f329(f311(x79724),x79722),f191(f918(x79724,a905))))),f329(f329(f9(x79724,x79723),x79721),x79725))+P1(f329(f329(f331(x79724),x79722),x79725)) % 166.52/166.36 [8378]~P5(x83781)+~P1(f329(f62(x83782),x83785))+~P1(f329(f62(x83782),x83784))+~E(f329(f329(f106(f918(x83782,a905)),x83784),x83785),f191(f918(x83782,a905)))+E(f329(f329(f82(x83781),f329(f329(f6(x83782,x83781),x83783),x83784)),f329(f329(f6(x83782,x83781),x83783),x83785)),f329(f329(f6(x83782,x83781),x83783),f329(f329(f115(f918(x83782,a905)),x83784),x83785))) % 166.52/166.36 [8380]~P80(x83801)+~P1(f329(f62(x83802),x83805))+~P1(f329(f62(x83802),x83804))+~E(f329(f329(f106(f918(x83802,a905)),x83804),x83805),f191(f918(x83802,a905)))+E(f329(f329(f83(x83801),f329(f329(f9(x83802,x83801),x83803),x83804)),f329(f329(f9(x83802,x83801),x83803),x83805)),f329(f329(f9(x83802,x83801),x83803),f329(f329(f115(f918(x83802,a905)),x83804),x83805))) % 166.52/166.36 [8479]~P72(x84793)+E(f329(x84791,x84792),f2(x84793))+~P1(f329(f62(x84794),x84795))+E(f329(f329(f9(x84794,x84793),x84791),f329(f329(f23(f918(x84794,a905)),x84795),f329(f329(f311(x84794),x84792),f191(f918(x84794,a905))))),f329(f329(f292(x84793),f329(f329(f9(x84794,x84793),x84791),x84795)),f329(x84791,x84792)))+~P1(f329(f329(f331(x84794),x84792),x84795)) % 166.52/166.36 [9200]~P13(x92001,x92005,x92004)+~E(f329(f329(f61(x92001),f329(f329(f311(x92001),x92002),f191(f918(x92001,a905)))),x92004),f329(f329(f61(x92001),f329(f329(f311(x92001),x92003),f191(f918(x92001,a905)))),x92004))+~P1(f329(f329(f331(x92001),x92003),x92005))+~P1(f329(f329(f331(x92001),x92002),x92005))+P1(f329(f329(f331(f917(x92001,x92001)),f329(f329(f257(x92001,x92001),x92002),x92003)),x92004)) % 166.52/166.36 [9222]~P13(x92221,x92225,x92223)+E(f329(f329(f61(x92221),f329(f329(f311(x92221),x92222),f191(f918(x92221,a905)))),x92223),f329(f329(f61(x92221),f329(f329(f311(x92221),x92224),f191(f918(x92221,a905)))),x92223))+~P1(f329(f329(f331(x92221),x92224),x92225))+~P1(f329(f329(f331(x92221),x92222),x92225))+~P1(f329(f329(f331(f917(x92221,x92221)),f329(f329(f257(x92221,x92221),x92222),x92224)),x92223)) % 166.52/166.36 [9521]~P80(x95211)+~P1(f329(f62(x95212),x95215))+~P1(f329(f62(x95212),x95214))+~E(f329(f329(f106(f918(x95212,a905)),x95214),x95215),f191(f918(x95212,a905)))+E(f329(f329(f83(x95211),f329(f329(f329(f66(x95211,x95212,f83(x95211)),x95213),f80(x95211)),x95214)),f329(f329(f329(f66(x95211,x95212,f83(x95211)),x95213),f80(x95211)),x95215)),f329(f329(f329(f66(x95211,x95212,f83(x95211)),x95213),f80(x95211)),f329(f329(f115(f918(x95212,a905)),x95214),x95215))) % 166.52/166.36 [9530]~P5(x95301)+~E(f329(x95303,f896(x95303,x95305,x95304,x95302,x95301)),f2(x95301))+~P1(f329(f62(x95302),x95304))+~P1(f329(f62(x95302),x95305))+E(f329(f329(f82(x95301),f329(f329(f6(x95302,x95301),x95303),x95304)),f329(f329(f6(x95302,x95301),x95303),x95305)),f329(f329(f6(x95302,x95301),x95303),f329(f329(f115(f918(x95302,a905)),x95304),x95305))) % 166.52/166.36 [9531]~P5(x95311)+~E(f329(x95313,f897(x95313,x95315,x95314,x95312,x95311)),f2(x95311))+~P1(f329(f62(x95312),x95314))+~P1(f329(f62(x95312),x95315))+E(f329(f329(f82(x95311),f329(f329(f6(x95312,x95311),x95313),x95314)),f329(f329(f6(x95312,x95311),x95313),x95315)),f329(f329(f6(x95312,x95311),x95313),f329(f329(f115(f918(x95312,a905)),x95314),x95315))) % 166.52/166.36 [9532]~P80(x95321)+~E(f329(x95323,f472(x95323,x95325,x95324,x95322,x95321)),f80(x95321))+~P1(f329(f62(x95322),x95324))+~P1(f329(f62(x95322),x95325))+E(f329(f329(f83(x95321),f329(f329(f9(x95322,x95321),x95323),x95324)),f329(f329(f9(x95322,x95321),x95323),x95325)),f329(f329(f9(x95322,x95321),x95323),f329(f329(f115(f918(x95322,a905)),x95324),x95325))) % 166.52/166.36 [9533]~P80(x95331)+~E(f329(x95333,f473(x95333,x95335,x95334,x95332,x95331)),f80(x95331))+~P1(f329(f62(x95332),x95334))+~P1(f329(f62(x95332),x95335))+E(f329(f329(f83(x95331),f329(f329(f9(x95332,x95331),x95333),x95334)),f329(f329(f9(x95332,x95331),x95333),x95335)),f329(f329(f9(x95332,x95331),x95333),f329(f329(f115(f918(x95332,a905)),x95334),x95335))) % 166.52/166.36 [9748]~P80(x97481)+~E(f329(x97483,f900(x97483,x97485,x97484,x97482,x97481)),f80(x97481))+~P1(f329(f62(x97482),x97484))+~P1(f329(f62(x97482),x97485))+E(f329(f329(f83(x97481),f329(f329(f329(f66(x97481,x97482,f83(x97481)),x97483),f80(x97481)),x97484)),f329(f329(f329(f66(x97481,x97482,f83(x97481)),x97483),f80(x97481)),x97485)),f329(f329(f329(f66(x97481,x97482,f83(x97481)),x97483),f80(x97481)),f329(f329(f115(f918(x97482,a905)),x97484),x97485))) % 166.52/166.36 [9857]~P5(x98572)+E(f329(f329(f6(x98571,x98572),x98573),x98574),f329(f329(f6(x98571,x98572),x98573),x98575))+~P1(f329(f62(x98571),x98575))+~P1(f329(f329(f239(f918(x98571,a905)),x98574),x98575))+P1(f329(f329(f331(x98571),f880(x98573,x98574,x98575,x98571,x98572)),f329(f329(f23(f918(x98571,a905)),x98575),x98574))) % 166.52/166.36 [9858]~P5(x98582)+E(f329(f329(f6(x98581,x98582),x98583),x98584),f329(f329(f6(x98581,x98582),x98583),x98585))+~P1(f329(f62(x98581),x98585))+~P1(f329(f329(f239(f918(x98581,a905)),x98584),x98585))+P1(f329(f329(f331(x98581),f881(x98583,x98584,x98585,x98581,x98582)),f329(f329(f23(f918(x98581,a905)),x98585),x98584))) % 166.52/166.36 [9859]~P80(x98592)+E(f329(f329(f9(x98591,x98592),x98593),x98594),f329(f329(f9(x98591,x98592),x98593),x98595))+~P1(f329(f62(x98591),x98595))+~P1(f329(f329(f239(f918(x98591,a905)),x98594),x98595))+P1(f329(f329(f331(x98591),f480(x98593,x98594,x98595,x98591,x98592)),f329(f329(f23(f918(x98591,a905)),x98595),x98594))) % 166.52/166.36 [9860]~P80(x98602)+E(f329(f329(f9(x98601,x98602),x98603),x98604),f329(f329(f9(x98601,x98602),x98603),x98605))+~P1(f329(f62(x98601),x98605))+~P1(f329(f329(f239(f918(x98601,a905)),x98604),x98605))+P1(f329(f329(f331(x98601),f483(x98603,x98604,x98605,x98601,x98602)),f329(f329(f23(f918(x98601,a905)),x98605),x98604))) % 166.52/166.36 [9878]~P5(x98781)+~P1(f329(f62(x98782),x98784))+~P1(f329(f62(x98782),x98785))+E(f329(f329(f82(x98781),f329(f329(f6(x98782,x98781),x98783),x98784)),f329(f329(f6(x98782,x98781),x98783),x98785)),f329(f329(f6(x98782,x98781),x98783),f329(f329(f115(f918(x98782,a905)),x98784),x98785)))+P1(f329(f329(f331(x98782),f896(x98783,x98785,x98784,x98782,x98781)),f329(f329(f106(f918(x98782,a905)),x98784),x98785))) % 166.52/166.36 [9879]~P5(x98791)+~P1(f329(f62(x98792),x98794))+~P1(f329(f62(x98792),x98795))+E(f329(f329(f82(x98791),f329(f329(f6(x98792,x98791),x98793),x98794)),f329(f329(f6(x98792,x98791),x98793),x98795)),f329(f329(f6(x98792,x98791),x98793),f329(f329(f115(f918(x98792,a905)),x98794),x98795)))+P1(f329(f329(f331(x98792),f897(x98793,x98795,x98794,x98792,x98791)),f329(f329(f106(f918(x98792,a905)),x98794),x98795))) % 166.52/166.36 [9880]~P80(x98801)+~P1(f329(f62(x98802),x98804))+~P1(f329(f62(x98802),x98805))+E(f329(f329(f83(x98801),f329(f329(f9(x98802,x98801),x98803),x98804)),f329(f329(f9(x98802,x98801),x98803),x98805)),f329(f329(f9(x98802,x98801),x98803),f329(f329(f115(f918(x98802,a905)),x98804),x98805)))+P1(f329(f329(f331(x98802),f472(x98803,x98805,x98804,x98802,x98801)),f329(f329(f106(f918(x98802,a905)),x98804),x98805))) % 166.52/166.36 [9881]~P80(x98811)+~P1(f329(f62(x98812),x98814))+~P1(f329(f62(x98812),x98815))+E(f329(f329(f83(x98811),f329(f329(f9(x98812,x98811),x98813),x98814)),f329(f329(f9(x98812,x98811),x98813),x98815)),f329(f329(f9(x98812,x98811),x98813),f329(f329(f115(f918(x98812,a905)),x98814),x98815)))+P1(f329(f329(f331(x98812),f473(x98813,x98815,x98814,x98812,x98811)),f329(f329(f106(f918(x98812,a905)),x98814),x98815))) % 166.52/166.36 [9884]~P46(f918(x98843,a905),f918(x98843,a905),x98844)+P1(f329(x98841,x98842))+~E(x98845,f100(f918(x98843,a905),x98844))+~P1(f329(f329(f331(x98843),x98842),x98845))+P1(f329(f329(f331(x98843),f476(x98841,x98842,x98844,x98843,x98845)),f329(x98844,f329(f329(f106(f918(x98843,a905)),x98845),f329(f267(x98843),x98841))))) % 166.52/166.36 [9888]~P90(x98885)+~P1(f329(f62(x98881),x98884))+P1(f329(f329(f239(x98885),f329(f329(f6(x98881,x98885),x98882),x98883)),f329(f329(f6(x98881,x98885),x98882),x98884)))+~P1(f329(f329(f239(f918(x98881,a905)),x98883),x98884))+P1(f329(f329(f331(x98881),f865(x98882,x98883,x98884,x98881,x98885)),f329(f329(f23(f918(x98881,a905)),x98884),x98883))) % 166.52/166.36 [9934]~P80(x99341)+~P1(f329(f62(x99342),x99344))+~P1(f329(f62(x99342),x99345))+E(f329(f329(f83(x99341),f329(f329(f329(f66(x99341,x99342,f83(x99341)),x99343),f80(x99341)),x99344)),f329(f329(f329(f66(x99341,x99342,f83(x99341)),x99343),f80(x99341)),x99345)),f329(f329(f329(f66(x99341,x99342,f83(x99341)),x99343),f80(x99341)),f329(f329(f115(f918(x99342,a905)),x99344),x99345)))+P1(f329(f329(f331(x99342),f900(x99343,x99345,x99344,x99342,x99341)),f329(f329(f106(f918(x99342,a905)),x99344),x99345))) % 166.52/166.36 [8886]~P23(x88861,x88864,x88865)+~P1(f329(f62(x88861),x88862))+E(f329(f329(f23(f918(x88861,a905)),x88862),f329(f329(f311(x88861),x88863),f191(f918(x88861,a905)))),f191(f918(x88861,a905)))+~P1(f329(f329(f331(x88861),x88863),x88862))+E(f329(f329(x88864,x88863),f329(x88865,f329(f329(f23(f918(x88861,a905)),x88862),f329(f329(f311(x88861),x88863),f191(f918(x88861,a905)))))),f329(x88865,x88862)) % 166.52/166.36 [8962]~P23(x89621,x89624,x89625)+~P1(f329(f62(x89621),x89623))+~P1(f329(f62(x89621),x89622))+E(f329(f329(f106(f918(x89621,a905)),x89622),x89623),f191(f918(x89621,a905)))+E(f329(f329(x89624,f329(x89625,f329(f329(f115(f918(x89621,a905)),x89622),x89623))),f329(x89625,f329(f329(f106(f918(x89621,a905)),x89622),x89623))),f329(f329(x89624,f329(x89625,x89622)),f329(x89625,x89623))) % 166.52/166.36 [9149]~P46(f918(x91491,a905),f918(x91491,a905),x91494)+~E(x91493,f101(f918(x91491,a905),x91494))+P1(f329(f329(f331(x91491),x91492),x91493))+~P1(f329(f329(f331(x91491),x91492),x91495))+~P1(f329(f329(f239(f918(x91491,a905)),x91495),f329(x91494,f329(f329(f115(f918(x91491,a905)),x91495),x91493)))) % 166.52/166.36 [9535]~P1(f329(f329(f239(a1),x95354),f2(a1)))+~P1(f329(f329(f240(a1),x95353),x95355))+P1(f329(f329(f239(a1),x95351),x95352))+~P1(f329(f329(f240(a1),x95353),x95354))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),f329(f329(f83(a1),x95353),x95352)),x95355)),f329(f329(f82(a1),f329(f329(f83(a1),x95353),x95351)),x95354))) % 166.52/166.36 [9537]~P1(f329(f329(f239(a1),f2(a1)),x95375))+P1(f329(f329(f239(a1),x95371),x95372))+~P1(f329(f329(f240(a1),x95373),x95374))+~P1(f329(f329(f240(a1),x95375),x95374))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),f329(f329(f83(a1),x95374),x95371)),x95375)),f329(f329(f82(a1),f329(f329(f83(a1),x95374),x95372)),x95373))) % 166.52/166.36 [9655]~P72(x96555)+E(f329(x96551,f478(x96551,x96552,x96553,x96554,x96555)),f2(x96555))+~P1(f329(f62(x96554),x96553))+~P1(f329(f62(x96554),x96552))+E(f329(f329(f292(x96555),f329(f329(f83(x96555),f329(f329(f9(x96554,x96555),x96551),x96553)),f329(f329(f9(x96554,x96555),x96551),x96552))),f329(f329(f9(x96554,x96555),x96551),f329(f329(f106(f918(x96554,a905)),x96553),x96552))),f329(f329(f9(x96554,x96555),x96551),f329(f329(f115(f918(x96554,a905)),x96553),x96552))) % 166.52/166.36 [9926]~P72(x99261)+~P1(f329(f62(x99262),x99264))+~P1(f329(f62(x99262),x99265))+E(f329(f329(f292(x99261),f329(f329(f83(x99261),f329(f329(f9(x99262,x99261),x99263),x99264)),f329(f329(f9(x99262,x99261),x99263),x99265))),f329(f329(f9(x99262,x99261),x99263),f329(f329(f106(f918(x99262,a905)),x99264),x99265))),f329(f329(f9(x99262,x99261),x99263),f329(f329(f115(f918(x99262,a905)),x99264),x99265)))+P1(f329(f329(f331(x99262),f478(x99263,x99265,x99264,x99262,x99261)),f329(f329(f106(f918(x99262,a905)),x99264),x99265))) % 166.52/166.36 [9242]E(f329(f329(f137(x92421),x92422),x92423),f329(f329(f137(x92421),x92424),x92425))+~E(f329(f329(f178(x92421),f329(f192(f911(x92421)),x92424)),x92422),x92424)+~E(f329(f329(f178(x92421),f329(f192(f911(x92421)),x92422)),x92424),x92422)+~E(x92425,f329(f329(f137(x92421),f329(f329(f141(x92421),f329(f192(f911(x92421)),x92424)),x92422)),x92423))+~E(f329(f329(f137(x92421),f329(f329(f141(x92421),f329(f192(f911(x92421)),x92422)),x92424)),x92425),x92423) % 166.52/166.36 [9653]~P112(x96532)+E(f329(f329(f151(x96531,x96532,x96533),x96534),f173(x96531,x96534,x96535)),x96535)+~P18(x96532,f329(f329(f157(x96531,x96532),x96533),x96535))+~P1(f329(f329(f331(x96531),x96534),f329(f175(x96531),x96535)))+~E(f329(f144(x96531),f329(f139(x96531,f329(f329(f8(x96532,a905,x96531),f329(a326,f329(x96533,x96534))),x96533)),x96535)),x96534) % 166.52/166.36 [9988]~P76(x99881)+~P1(f329(f67(x99881,x99881,f83(x99881),x99882,x99883),x99885))+~P1(f329(f329(f331(x99881),x99884),x99883))+P1(f329(f329(f331(x99881),x99882),x99883))+P1(f329(f67(x99881,x99881,f83(x99881),x99884,f329(f329(f311(x99881),x99882),f329(f329(f23(f918(x99881,a905)),x99883),f329(f329(f311(x99881),x99884),f191(f918(x99881,a905)))))),x99885)) % 166.52/166.36 [10334]~P46(f918(x103341,a905),f918(x103341,a905),x103344)+~E(x103343,f101(f918(x103341,a905),x103344))+P1(f329(f329(f331(x103341),x103342),x103343))+~P1(f329(f329(f331(x103341),x103342),x103345))+~P1(f329(f329(f239(f918(x103341,a905)),x103345),f329(x103344,f100(f918(x103341,a905),f329(f329(f7(f918(x103341,a905),f918(x103341,a905),f918(x103341,a905)),f329(f329(f8(f918(x103341,a905),f918(f918(x103341,a905),f918(x103341,a905)),f918(x103341,a905)),f115(f918(x103341,a905))),f329(f329(f7(f918(x103341,a905),f918(x103341,a905),f918(x103341,a905)),f329(f329(f8(f918(x103341,a905),f918(f918(x103341,a905),f918(x103341,a905)),f918(x103341,a905)),f115(f918(x103341,a905))),x103344)),x103345))),x103343))))) % 166.52/166.36 [7359]E(x73591,x73592)+~P30(x73594,x73595,x73593,x73596)+~E(f329(x73593,x73591),f329(x73593,x73592))+~P1(f329(f329(f331(x73594),x73592),x73596))+~P1(f329(f329(f331(x73594),x73591),x73596)) % 166.52/166.36 [6621]~P146(x66214)+E(x66211,x66212)+~E(x66215,x66216)+E(x66213,f2(x66214))+~E(f329(f329(f82(x66214),x66215),f329(f329(f83(x66214),x66213),x66211)),f329(f329(f82(x66214),x66216),f329(f329(f83(x66214),x66213),x66212))) % 166.52/166.36 [7654]~P112(x76541)+~P10(x76541)+~P1(f329(f329(f240(x76541),x76542),f329(x76545,x76546)))+~P1(f329(f329(f331(x76543),x76546),x76544))+P1(f329(f329(f240(x76541),x76542),f329(f329(f40(x76543,x76541),x76544),x76545))) % 166.52/166.36 [8349]~P112(x83491)+~P10(x83491)+~P1(f329(f329(f240(x83491),f329(x83494,x83496)),x83495))+~P1(f329(f329(f331(x83492),x83496),x83493))+P1(f329(f329(f240(x83491),f329(f329(f41(x83492,x83491),x83493),x83494)),x83495)) % 166.52/166.36 [8613]~P24(x86132,x86135,x86136,x86131)+~P1(f329(f62(x86132),x86134))+~P1(f329(f62(x86132),x86133))+~E(f329(f329(f106(f918(x86132,a905)),x86133),x86134),f191(f918(x86132,a905)))+E(f329(x86131,f329(f329(f115(f918(x86132,a905)),x86133),x86134)),f329(f74(x86135,x86135,x86135,f329(x86131,x86133)),f329(x86131,x86134))) % 166.52/166.36 [10182]~P80(x101821)+~E(f840(x101824,x101825,x101823,x101826,x101822,x101821),f841(x101824,x101825,x101823,x101826,x101822,x101821))+~P1(f329(f62(x101822),x101826))+E(f329(f329(f329(f66(x101821,x101822,f83(x101821)),f329(f329(f8(f918(x101823,a905),x101821,x101822),f329(f329(f66(x101821,x101823,f83(x101821)),x101824),f80(x101821))),x101825)),f80(x101821)),x101826),f329(f329(f329(f66(x101821,x101823,f83(x101821)),x101824),f80(x101821)),f329(f329(f40(x101822,f918(x101823,a905)),x101826),x101825)))+P1(f329(f329(f331(x101822),f839(x101824,x101825,x101823,x101826,x101822,x101821)),x101826)) % 166.52/166.36 [10212]~P80(x102121)+~E(f840(x102124,x102125,x102123,x102126,x102122,x102121),f841(x102124,x102125,x102123,x102126,x102122,x102121))+~P1(f329(f62(x102122),x102126))+E(f329(f329(f329(f66(x102121,x102122,f83(x102121)),f329(f329(f8(f918(x102123,a905),x102121,x102122),f329(f329(f66(x102121,x102123,f83(x102121)),x102124),f80(x102121))),x102125)),f80(x102121)),x102126),f329(f329(f329(f66(x102121,x102123,f83(x102121)),x102124),f80(x102121)),f329(f329(f40(x102122,f918(x102123,a905)),x102126),x102125)))+~P1(f329(f62(x102123),f329(x102125,f839(x102124,x102125,x102123,x102126,x102122,x102121)))) % 166.52/166.36 [10215]~P80(x102151)+~P1(f329(f62(x102152),x102156))+E(f329(f329(f329(f66(x102151,x102152,f83(x102151)),f329(f329(f8(f918(x102153,a905),x102151,x102152),f329(f329(f66(x102151,x102153,f83(x102151)),x102154),f80(x102151))),x102155)),f80(x102151)),x102156),f329(f329(f329(f66(x102151,x102153,f83(x102151)),x102154),f80(x102151)),f329(f329(f40(x102152,f918(x102153,a905)),x102156),x102155)))+P1(f329(f329(f331(x102152),f839(x102154,x102155,x102153,x102156,x102152,x102151)),x102156))+P1(f329(f329(f331(x102152),f841(x102154,x102155,x102153,x102156,x102152,x102151)),x102156)) % 166.52/166.36 [10216]~P80(x102161)+~P1(f329(f62(x102162),x102166))+E(f329(f329(f329(f66(x102161,x102162,f83(x102161)),f329(f329(f8(f918(x102163,a905),x102161,x102162),f329(f329(f66(x102161,x102163,f83(x102161)),x102164),f80(x102161))),x102165)),f80(x102161)),x102166),f329(f329(f329(f66(x102161,x102163,f83(x102161)),x102164),f80(x102161)),f329(f329(f40(x102162,f918(x102163,a905)),x102166),x102165)))+P1(f329(f329(f331(x102162),f839(x102164,x102165,x102163,x102166,x102162,x102161)),x102166))+P1(f329(f329(f331(x102162),f840(x102164,x102165,x102163,x102166,x102162,x102161)),x102166)) % 166.52/166.36 [10236]~P80(x102361)+~P1(f329(f62(x102362),x102366))+E(f329(f329(f329(f66(x102361,x102362,f83(x102361)),f329(f329(f8(f918(x102363,a905),x102361,x102362),f329(f329(f66(x102361,x102363,f83(x102361)),x102364),f80(x102361))),x102365)),f80(x102361)),x102366),f329(f329(f329(f66(x102361,x102363,f83(x102361)),x102364),f80(x102361)),f329(f329(f40(x102362,f918(x102363,a905)),x102366),x102365)))+P1(f329(f329(f331(x102362),f841(x102364,x102365,x102363,x102366,x102362,x102361)),x102366))+~P1(f329(f62(x102363),f329(x102365,f839(x102364,x102365,x102363,x102366,x102362,x102361)))) % 166.52/166.36 [10237]~P80(x102371)+~P1(f329(f62(x102372),x102376))+E(f329(f329(f329(f66(x102371,x102372,f83(x102371)),f329(f329(f8(f918(x102373,a905),x102371,x102372),f329(f329(f66(x102371,x102373,f83(x102371)),x102374),f80(x102371))),x102375)),f80(x102371)),x102376),f329(f329(f329(f66(x102371,x102373,f83(x102371)),x102374),f80(x102371)),f329(f329(f40(x102372,f918(x102373,a905)),x102376),x102375)))+P1(f329(f329(f331(x102372),f840(x102374,x102375,x102373,x102376,x102372,x102371)),x102376))+~P1(f329(f62(x102373),f329(x102375,f839(x102374,x102375,x102373,x102376,x102372,x102371)))) % 166.52/166.36 [10248]~P80(x102481)+~E(f329(f329(f106(f918(x102483,a905)),f329(x102485,f841(x102484,x102485,x102483,x102486,x102482,x102481))),f329(x102485,f840(x102484,x102485,x102483,x102486,x102482,x102481))),f191(f918(x102483,a905)))+~P1(f329(f62(x102482),x102486))+E(f329(f329(f329(f66(x102481,x102482,f83(x102481)),f329(f329(f8(f918(x102483,a905),x102481,x102482),f329(f329(f66(x102481,x102483,f83(x102481)),x102484),f80(x102481))),x102485)),f80(x102481)),x102486),f329(f329(f329(f66(x102481,x102483,f83(x102481)),x102484),f80(x102481)),f329(f329(f40(x102482,f918(x102483,a905)),x102486),x102485)))+P1(f329(f329(f331(x102482),f839(x102484,x102485,x102483,x102486,x102482,x102481)),x102486)) % 166.52/166.36 [10258]~P80(x102581)+~E(f329(f329(f106(f918(x102583,a905)),f329(x102585,f841(x102584,x102585,x102583,x102586,x102582,x102581))),f329(x102585,f840(x102584,x102585,x102583,x102586,x102582,x102581))),f191(f918(x102583,a905)))+~P1(f329(f62(x102582),x102586))+E(f329(f329(f329(f66(x102581,x102582,f83(x102581)),f329(f329(f8(f918(x102583,a905),x102581,x102582),f329(f329(f66(x102581,x102583,f83(x102581)),x102584),f80(x102581))),x102585)),f80(x102581)),x102586),f329(f329(f329(f66(x102581,x102583,f83(x102581)),x102584),f80(x102581)),f329(f329(f40(x102582,f918(x102583,a905)),x102586),x102585)))+~P1(f329(f62(x102583),f329(x102585,f839(x102584,x102585,x102583,x102586,x102582,x102581)))) % 166.52/166.36 [8932]E(x89321,x89322)+~P64(x89324,x89325,x89326,x89323,x89327)+~E(f329(x89323,x89321),f329(x89323,x89322))+~P1(f329(f329(f331(x89325),x89322),x89327))+~P1(f329(f329(f331(x89325),x89321),x89327)) % 166.52/166.36 [10226]~P1(f329(x102262,x102264))+~E(x102265,f329(f139(x102261,x102262),x102267))+E(f329(f139(x102261,x102262),x102263),f329(f329(f154(x102261),x102264),x102265))+~E(x102263,f329(f329(f137(x102261),x102266),f329(f329(f154(x102261),x102264),x102267)))+P1(f329(x102262,f769(x102265,x102264,x102263,x102262,x102261,x102266,x102267))) % 166.52/166.36 [10227]~P1(f329(x102274,x102272))+~E(x102273,f329(f139(x102271,x102274),x102277))+E(f329(f329(f154(x102271),x102272),x102273),f329(f139(x102271,x102274),x102275))+~E(x102275,f329(f329(f137(x102271),x102276),f329(f329(f154(x102271),x102272),x102277)))+P1(f329(x102274,f771(x102275,x102274,x102273,x102272,x102271,x102276,x102277))) % 166.52/166.36 [10269]~P1(f329(x102692,x102694))+~E(x102695,f329(f139(x102691,x102692),x102697))+E(f329(f139(x102691,x102692),x102693),f329(f329(f154(x102691),x102694),x102695))+~E(x102693,f329(f329(f137(x102691),x102696),f329(f329(f154(x102691),x102694),x102697)))+P1(f329(f329(f331(x102691),f769(x102695,x102694,x102693,x102692,x102691,x102696,x102697)),f329(f175(x102691),x102696))) % 166.52/166.36 [10270]~P1(f329(x102704,x102702))+~E(x102703,f329(f139(x102701,x102704),x102707))+E(f329(f329(f154(x102701),x102702),x102703),f329(f139(x102701,x102704),x102705))+~E(x102705,f329(f329(f137(x102701),x102706),f329(f329(f154(x102701),x102702),x102707)))+P1(f329(f329(f331(x102701),f771(x102705,x102704,x102703,x102702,x102701,x102706,x102707)),f329(f175(x102701),x102706))) % 166.52/166.36 [10273]~P13(x102731,x102737,x102736)+~P16(x102731,f918(x102735,a905),x102736,x102734)+P1(f329(f329(f331(x102731),f527(x102732,x102733,x102734,x102735,x102736,x102737,x102731)),x102737))+~P1(f329(f329(f331(f918(x102731,a905)),x102733),f329(f329(f61(x102731),x102737),x102736)))+P1(f329(f329(f331(f918(x102735,a905)),f329(f329(f40(x102731,f918(x102735,a905)),x102733),x102734)),x102732)) % 166.52/166.36 [10328]~P13(x103282,x103286,x103287)+~P16(x103282,f918(x103281,a905),x103287,x103284)+~P1(f329(f329(f331(f918(x103282,a905)),x103283),f329(f329(f61(x103282),x103286),x103287)))+~P1(f329(f329(f331(f918(x103281,a905)),f329(x103284,f527(x103285,x103283,x103284,x103281,x103287,x103286,x103282))),x103285))+P1(f329(f329(f331(f918(x103281,a905)),f329(f329(f40(x103282,f918(x103281,a905)),x103283),x103284)),x103285)) % 166.52/166.36 [8522]~P80(x85222)+~P30(x85221,x85225,x85228,x85224)+~E(x85223,f329(f74(x85225,x85222,x85221,x85226),x85228))+~E(x85227,f329(f312(x85221,x85225,x85228),x85224))+E(f329(f329(f9(x85221,x85222),x85223),x85224),f329(f329(f9(x85225,x85222),x85226),x85227)) % 166.52/166.36 [10333]~P80(x103332)+~P30(x103335,x103331,x103338,x103337)+~E(f329(x103336,f482(x103333,x103336,x103334,x103337,x103338,x103331,x103335,x103332)),f329(f329(f74(x103331,x103332,x103335,x103333),x103338),f482(x103333,x103336,x103334,x103337,x103338,x103331,x103335,x103332)))+~E(x103334,f329(f312(x103335,x103331,x103338),x103337))+E(f329(f329(f9(x103331,x103332),x103333),x103334),f329(f329(f9(x103335,x103332),x103336),x103337)) % 166.52/166.36 [10338]~P5(x103382)+~P30(x103381,x103385,x103388,x103384)+~E(x103387,f329(f312(x103381,x103385,x103388),x103384))+E(f329(f329(f6(x103381,x103382),x103383),x103384),f329(f329(f6(x103385,x103382),x103386),x103387))+P1(f329(f329(f331(x103381),f595(x103386,x103383,x103387,x103384,x103388,x103385,x103381,x103382)),x103384)) % 166.52/166.36 [10339]~P80(x103392)+~P30(x103391,x103395,x103398,x103394)+~E(x103397,f329(f312(x103391,x103395,x103398),x103394))+E(f329(f329(f9(x103391,x103392),x103393),x103394),f329(f329(f9(x103395,x103392),x103396),x103397))+P1(f329(f329(f331(x103391),f482(x103396,x103393,x103397,x103394,x103398,x103395,x103391,x103392)),x103394)) % 166.52/166.36 [10345]~P5(x103452)+~P30(x103455,x103451,x103458,x103457)+~E(x103454,f329(f312(x103455,x103451,x103458),x103457))+~E(f329(x103456,f595(x103453,x103456,x103454,x103457,x103458,x103451,x103455,x103452)),f329(x103453,f329(x103458,f595(x103453,x103456,x103454,x103457,x103458,x103451,x103455,x103452))))+E(f329(f329(f6(x103451,x103452),x103453),x103454),f329(f329(f6(x103455,x103452),x103456),x103457)) % 166.52/166.36 [9821]~P28(x98216,x98212,x98215,x98217,x98218,x98211)+~P1(f329(f62(x98212),x98214))+~P1(f329(f62(x98212),x98213))+~E(f329(f329(f106(f918(x98212,a905)),x98213),x98214),f191(f918(x98212,a905)))+E(f329(x98211,f329(f329(f115(f918(x98212,a905)),x98213),x98214)),f329(f329(x98215,f329(x98211,x98213)),f329(x98211,x98214))) % 166.52/166.36 [10209]~P28(x102098,x102092,x102095,x102097,x102096,x102091)+~E(f329(x102096,f402(x102094,x102093,x102091,x102096,x102097,x102095,x102092)),x102097)+~P1(f329(f62(x102092),x102093))+~P1(f329(f62(x102092),x102094))+E(f329(x102091,f329(f329(f115(f918(x102092,a905)),x102093),x102094)),f329(f329(x102095,f329(x102091,x102093)),f329(x102091,x102094))) % 166.52/166.36 [10280]~P28(x102808,x102802,x102805,x102807,x102806,x102801)+~P1(f329(f62(x102802),x102803))+~P1(f329(f62(x102802),x102804))+E(f329(x102801,f329(f329(f115(f918(x102802,a905)),x102803),x102804)),f329(f329(x102805,f329(x102801,x102803)),f329(x102801,x102804)))+P1(f329(f329(f331(x102802),f402(x102804,x102803,x102801,x102806,x102807,x102805,x102802)),f329(f329(f106(f918(x102802,a905)),x102803),x102804))) % 166.52/166.36 [9976]~P13(x99764,x99768,x99765)+~P13(x99761,x99769,x99763)+~P17(x99761,x99764,f918(x99762,a905),x99763,x99765,x99767)+P16(x99761,f918(x99762,a905),x99763,f329(f329(f8(f918(x99764,f918(x99762,a905)),f918(x99762,a905),x99761),f329(f40(x99764,f918(x99762,a905)),f329(f288(x99764,x99764,x99765),f329(f329(f311(x99764),x99766),f191(f918(x99764,a905)))))),x99767))+~P1(f329(f329(f331(x99764),x99766),x99768)) % 166.52/166.36 [5528]~P112(x55283)+~P18(x55283,x55281)+E(x55281,f748(x55282,x55283))+~E(f329(f175(x55283),x55281),x55282)+~P1(f329(f62(x55283),x55282))+~P1(f329(f140(x55283),x55281)) % 166.52/166.36 [7350]P20(x73501,x73502)+~E(f329(x73502,f831(x73502)),f329(x73502,f832(x73502)))+~P1(f329(f329(x73502,f831(x73502)),f831(x73502)))+~P1(f329(f329(x73502,f831(x73502)),f832(x73502)))+~P1(f329(f329(x73502,f832(x73502)),f832(x73502)))+~P1(f329(f329(x73502,x73503),x73503)) % 166.52/166.36 [5150]~P147(x51502)+~P131(x51502)+~P132(x51502)+~P119(x51502)+E(x51501,f2(x51502))+~E(f329(f329(f249(x51502),x51501),x51503),f2(x51502)) % 166.52/166.36 [5151]~P147(x51512)+~P131(x51512)+~P132(x51512)+~P119(x51512)+~E(x51511,f2(a910))+~E(f329(f329(f249(x51512),x51513),x51511),f2(x51512)) % 166.52/166.36 [6601]~P90(x66011)+~E(x66013,f2(x66011))+~E(x66012,f2(x66011))+E(f329(f329(f82(x66011),x66012),x66013),f2(x66011))+~P1(f329(f329(f239(x66011),f2(x66011)),x66013))+~P1(f329(f329(f239(x66011),f2(x66011)),x66012)) % 166.52/166.36 [8999]~E(f329(f256(a910,a910),x89993),f2(a910))+~E(x89991,f329(f329(f82(a910),f329(f329(f83(a910),f329(f256(a910,a910),x89993)),x89992)),f329(f261(a910,a910),x89993)))+P1(f329(f49(x89991,x89992),x89993))+~P1(f329(f329(f239(a910),f329(f261(a910,a910),x89993)),f2(a910)))+P1(f329(f329(f240(a910),f2(a910)),x89992))+~P1(f329(f329(f240(a910),x89992),f329(f261(a910,a910),x89993))) % 166.52/166.36 [9007]E(x90071,f2(a910))+~E(x90072,f329(f329(f82(a910),f329(f329(f83(a910),f329(f256(a910,a910),x90073)),x90071)),f329(f261(a910,a910),x90073)))+P1(f329(f49(x90072,x90071),x90073))+~P1(f329(f329(f240(a910),f2(a910)),x90071))+~P1(f329(f329(f239(a910),f2(a910)),f329(f261(a910,a910),x90073)))+~P1(f329(f329(f240(a910),f329(f261(a910,a910),x90073)),x90071)) % 166.52/166.36 [9026]~E(f329(f256(a910,a910),x90263),f2(a910))+~E(x90261,f329(f329(f82(a910),f329(f329(f83(a910),f329(f256(a910,a910),x90263)),x90262)),f329(f261(a910,a910),x90263)))+P1(f329(f49(x90261,x90262),x90263))+~P1(f329(f329(f240(a910),f2(a910)),x90262))+~P1(f329(f329(f239(a910),f2(a910)),f329(f261(a910,a910),x90263)))+~P1(f329(f329(f240(a910),f329(f261(a910,a910),x90263)),x90262)) % 166.52/166.36 [6981]~P2(x69812)+E(x69811,f191(f918(x69812,a905)))+E(x69813,f191(f918(x69812,a905)))+~P1(f329(f62(x69812),x69811))+~P1(f329(f62(x69812),x69813))+E(f13(x69812,f329(f329(f115(f918(x69812,a905)),x69813),x69811)),f329(f329(f115(x69812),f13(x69812,x69813)),f13(x69812,x69811))) % 166.52/166.36 [6982]~P2(x69822)+E(x69821,f191(f918(x69822,a905)))+E(x69823,f191(f918(x69822,a905)))+~P1(f329(f62(x69822),x69821))+~P1(f329(f62(x69822),x69823))+E(f10(x69822,f329(f329(f115(f918(x69822,a905)),x69823),x69821)),f329(f329(f106(x69822),f10(x69822,x69823)),f10(x69822,x69821))) % 166.52/166.36 [6983]~P112(x69832)+E(x69831,f191(f918(x69832,a905)))+E(x69833,f191(f918(x69832,a905)))+~P1(f329(f62(x69832),x69831))+~P1(f329(f62(x69832),x69833))+E(f14(x69832,f329(f329(f115(f918(x69832,a905)),x69833),x69831)),f329(f329(f238(x69832),f14(x69832,x69833)),f14(x69832,x69831))) % 166.52/166.36 [6984]~P112(x69842)+E(x69841,f191(f918(x69842,a905)))+E(x69843,f191(f918(x69842,a905)))+~P1(f329(f62(x69842),x69841))+~P1(f329(f62(x69842),x69843))+E(f15(x69842,f329(f329(f115(f918(x69842,a905)),x69843),x69841)),f329(f329(f237(x69842),f15(x69842,x69843)),f15(x69842,x69841))) % 166.52/166.36 [7631]~P99(x76312)+E(x76311,f191(f918(x76312,a905)))+E(x76313,f191(f918(x76312,a905)))+~P1(f329(f62(x76312),x76311))+~P1(f329(f62(x76312),x76313))+E(f329(f329(f83(x76312),f329(f64(x76312,f83(x76312)),x76313)),f329(f64(x76312,f83(x76312)),x76311)),f329(f64(x76312,f83(x76312)),f329(f329(f115(f918(x76312,a905)),x76313),x76311))) % 166.52/166.36 [7788]~P112(x77882)+E(x77881,f191(f918(x77882,a905)))+E(x77883,f191(f918(x77882,a905)))+~P1(f329(f62(x77882),x77881))+~P1(f329(f62(x77882),x77883))+E(f329(f329(f237(x77882),f11(x77882,f237(x77882),x77883)),f11(x77882,f237(x77882),x77881)),f11(x77882,f237(x77882),f329(f329(f115(f918(x77882,a905)),x77883),x77881))) % 166.52/166.36 [7789]~P112(x77892)+E(x77891,f191(f918(x77892,a905)))+E(x77893,f191(f918(x77892,a905)))+~P1(f329(f62(x77892),x77891))+~P1(f329(f62(x77892),x77893))+E(f329(f329(f238(x77892),f12(x77892,f238(x77892),x77893)),f12(x77892,f238(x77892),x77891)),f12(x77892,f238(x77892),f329(f329(f115(f918(x77892,a905)),x77893),x77891))) % 166.52/166.36 [8840]~P1(f329(x88401,x88403))+P1(f329(x88401,f370(x88401,x88402)))+P1(f329(x88401,f366(x88401,x88402)))+~P1(f329(f329(f240(a1),f2(a1)),x88402))+~P1(f329(f329(f331(a1),x88403),f305(a1,f80(a1),x88402)))+P1(f329(x88401,f329(f329(f23(a1),f366(x88401,x88402)),f329(f329(f83(a1),f369(x88401,x88402)),x88402)))) % 166.52/166.36 [9139]~P1(f329(x91391,x91393))+~P1(f329(x91391,f366(x91391,x91392)))+P1(f329(x91391,f370(x91391,x91392)))+~P1(f329(f329(f240(a1),f2(a1)),x91392))+~P1(f329(f329(f331(a1),x91393),f305(a1,f80(a1),x91392)))+~P1(f329(x91391,f329(f329(f23(a1),f366(x91391,x91392)),f329(f329(f83(a1),f369(x91391,x91392)),x91392)))) % 166.52/166.36 [10369]~P101(x103692)+E(x103691,f191(f918(x103692,a905)))+E(x103693,f191(f918(x103692,a905)))+~P1(f329(f62(x103692),x103691))+~P1(f329(f62(x103692),x103693))+E(f10(x103692,f329(f267(x103692),f329(f329(f8(f918(x103692,a905),a905,x103692),f89(x103692)),f329(f329(f8(f918(x103692,f918(x103692,a905)),f918(x103692,a905),x103692),f329(f8(f918(x103692,a905),a905,x103692),f89(x103692))),f329(f329(f7(x103692,f918(x103692,f918(x103692,a905)),f918(x103692,f918(x103692,a905))),f329(f329(f8(f918(x103692,f918(f918(x103692,a905),f918(x103692,a905))),f918(f918(x103692,f918(x103692,a905)),f918(x103692,f918(x103692,a905))),x103692),f18(x103692,f918(x103692,a905),f918(x103692,a905))),f329(f329(f8(f918(x103692,f918(x103692,f918(a905,a905))),f918(x103692,f918(f918(x103692,a905),f918(x103692,a905))),x103692),f329(f8(f918(x103692,f918(a905,a905)),f918(f918(x103692,a905),f918(x103692,a905)),x103692),f18(x103692,a905,a905))),f329(f329(f8(f918(x103692,f918(x103692,a905)),f918(x103692,f918(x103692,f918(a905,a905))),x103692),f329(f8(f918(x103692,a905),f918(x103692,f918(a905,a905)),x103692),f329(f8(a905,f918(a905,a905),x103692),a327))),f329(f329(f7(x103692,f918(x103692,f918(x103692,x103692)),f918(x103692,f918(x103692,a905))),f329(f329(f8(f918(f918(x103692,x103692),f918(x103692,a905)),f918(f918(x103692,f918(x103692,x103692)),f918(x103692,f918(x103692,a905))),x103692),f8(f918(x103692,x103692),f918(x103692,a905),x103692)),f329(f329(f8(f918(x103692,a905),f918(f918(x103692,x103692),f918(x103692,a905)),x103692),f8(x103692,a905,x103692)),a326))),f115(x103692)))))),f329(f329(f7(x103692,f918(x103692,a905),f918(x103692,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x103692,a905),f918(x103692,a905)),x103692),f8(a905,a905,x103692)),f329(f329(f8(a905,f918(a905,a905),x103692),a327),f329(f329(f7(x103692,f918(x103692,a905),a905),f331(x103692)),x103693)))),f329(f329(f7(x103692,f918(x103692,a905),a905),f331(x103692)),x103691))))))),f329(f329(f115(x103692),f10(x103692,x103693)),f10(x103692,x103691))) % 166.52/166.36 [10370]~P101(x103702)+E(x103701,f191(f918(x103702,a905)))+E(x103703,f191(f918(x103702,a905)))+~P1(f329(f62(x103702),x103701))+~P1(f329(f62(x103702),x103703))+E(f13(x103702,f329(f267(x103702),f329(f329(f8(f918(x103702,a905),a905,x103702),f89(x103702)),f329(f329(f8(f918(x103702,f918(x103702,a905)),f918(x103702,a905),x103702),f329(f8(f918(x103702,a905),a905,x103702),f89(x103702))),f329(f329(f7(x103702,f918(x103702,f918(x103702,a905)),f918(x103702,f918(x103702,a905))),f329(f329(f8(f918(x103702,f918(f918(x103702,a905),f918(x103702,a905))),f918(f918(x103702,f918(x103702,a905)),f918(x103702,f918(x103702,a905))),x103702),f18(x103702,f918(x103702,a905),f918(x103702,a905))),f329(f329(f8(f918(x103702,f918(x103702,f918(a905,a905))),f918(x103702,f918(f918(x103702,a905),f918(x103702,a905))),x103702),f329(f8(f918(x103702,f918(a905,a905)),f918(f918(x103702,a905),f918(x103702,a905)),x103702),f18(x103702,a905,a905))),f329(f329(f8(f918(x103702,f918(x103702,a905)),f918(x103702,f918(x103702,f918(a905,a905))),x103702),f329(f8(f918(x103702,a905),f918(x103702,f918(a905,a905)),x103702),f329(f8(a905,f918(a905,a905),x103702),a327))),f329(f329(f7(x103702,f918(x103702,f918(x103702,x103702)),f918(x103702,f918(x103702,a905))),f329(f329(f8(f918(f918(x103702,x103702),f918(x103702,a905)),f918(f918(x103702,f918(x103702,x103702)),f918(x103702,f918(x103702,a905))),x103702),f8(f918(x103702,x103702),f918(x103702,a905),x103702)),f329(f329(f8(f918(x103702,a905),f918(f918(x103702,x103702),f918(x103702,a905)),x103702),f8(x103702,a905,x103702)),a326))),f106(x103702)))))),f329(f329(f7(x103702,f918(x103702,a905),f918(x103702,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x103702,a905),f918(x103702,a905)),x103702),f8(a905,a905,x103702)),f329(f329(f8(a905,f918(a905,a905),x103702),a327),f329(f329(f7(x103702,f918(x103702,a905),a905),f331(x103702)),x103703)))),f329(f329(f7(x103702,f918(x103702,a905),a905),f331(x103702)),x103701))))))),f329(f329(f106(x103702),f13(x103702,x103703)),f13(x103702,x103701))) % 166.52/166.36 [10371]~P112(x103712)+E(x103711,f191(f918(x103712,a905)))+E(x103713,f191(f918(x103712,a905)))+~P1(f329(f62(x103712),x103711))+~P1(f329(f62(x103712),x103713))+E(f12(x103712,f238(x103712),f329(f267(x103712),f329(f329(f8(f918(x103712,a905),a905,x103712),f89(x103712)),f329(f329(f8(f918(x103712,f918(x103712,a905)),f918(x103712,a905),x103712),f329(f8(f918(x103712,a905),a905,x103712),f89(x103712))),f329(f329(f7(x103712,f918(x103712,f918(x103712,a905)),f918(x103712,f918(x103712,a905))),f329(f329(f8(f918(x103712,f918(f918(x103712,a905),f918(x103712,a905))),f918(f918(x103712,f918(x103712,a905)),f918(x103712,f918(x103712,a905))),x103712),f18(x103712,f918(x103712,a905),f918(x103712,a905))),f329(f329(f8(f918(x103712,f918(x103712,f918(a905,a905))),f918(x103712,f918(f918(x103712,a905),f918(x103712,a905))),x103712),f329(f8(f918(x103712,f918(a905,a905)),f918(f918(x103712,a905),f918(x103712,a905)),x103712),f18(x103712,a905,a905))),f329(f329(f8(f918(x103712,f918(x103712,a905)),f918(x103712,f918(x103712,f918(a905,a905))),x103712),f329(f8(f918(x103712,a905),f918(x103712,f918(a905,a905)),x103712),f329(f8(a905,f918(a905,a905),x103712),a327))),f329(f329(f7(x103712,f918(x103712,f918(x103712,x103712)),f918(x103712,f918(x103712,a905))),f329(f329(f8(f918(f918(x103712,x103712),f918(x103712,a905)),f918(f918(x103712,f918(x103712,x103712)),f918(x103712,f918(x103712,a905))),x103712),f8(f918(x103712,x103712),f918(x103712,a905),x103712)),f329(f329(f8(f918(x103712,a905),f918(f918(x103712,x103712),f918(x103712,a905)),x103712),f8(x103712,a905,x103712)),a326))),f237(x103712)))))),f329(f329(f7(x103712,f918(x103712,a905),f918(x103712,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x103712,a905),f918(x103712,a905)),x103712),f8(a905,a905,x103712)),f329(f329(f8(a905,f918(a905,a905),x103712),a327),f329(f329(f7(x103712,f918(x103712,a905),a905),f331(x103712)),x103713)))),f329(f329(f7(x103712,f918(x103712,a905),a905),f331(x103712)),x103711))))))),f329(f329(f237(x103712),f12(x103712,f238(x103712),x103713)),f12(x103712,f238(x103712),x103711))) % 166.52/166.36 [10372]~P112(x103722)+E(x103721,f191(f918(x103722,a905)))+E(x103723,f191(f918(x103722,a905)))+~P1(f329(f62(x103722),x103721))+~P1(f329(f62(x103722),x103723))+E(f11(x103722,f237(x103722),f329(f267(x103722),f329(f329(f8(f918(x103722,a905),a905,x103722),f89(x103722)),f329(f329(f8(f918(x103722,f918(x103722,a905)),f918(x103722,a905),x103722),f329(f8(f918(x103722,a905),a905,x103722),f89(x103722))),f329(f329(f7(x103722,f918(x103722,f918(x103722,a905)),f918(x103722,f918(x103722,a905))),f329(f329(f8(f918(x103722,f918(f918(x103722,a905),f918(x103722,a905))),f918(f918(x103722,f918(x103722,a905)),f918(x103722,f918(x103722,a905))),x103722),f18(x103722,f918(x103722,a905),f918(x103722,a905))),f329(f329(f8(f918(x103722,f918(x103722,f918(a905,a905))),f918(x103722,f918(f918(x103722,a905),f918(x103722,a905))),x103722),f329(f8(f918(x103722,f918(a905,a905)),f918(f918(x103722,a905),f918(x103722,a905)),x103722),f18(x103722,a905,a905))),f329(f329(f8(f918(x103722,f918(x103722,a905)),f918(x103722,f918(x103722,f918(a905,a905))),x103722),f329(f8(f918(x103722,a905),f918(x103722,f918(a905,a905)),x103722),f329(f8(a905,f918(a905,a905),x103722),a327))),f329(f329(f7(x103722,f918(x103722,f918(x103722,x103722)),f918(x103722,f918(x103722,a905))),f329(f329(f8(f918(f918(x103722,x103722),f918(x103722,a905)),f918(f918(x103722,f918(x103722,x103722)),f918(x103722,f918(x103722,a905))),x103722),f8(f918(x103722,x103722),f918(x103722,a905),x103722)),f329(f329(f8(f918(x103722,a905),f918(f918(x103722,x103722),f918(x103722,a905)),x103722),f8(x103722,a905,x103722)),a326))),f238(x103722)))))),f329(f329(f7(x103722,f918(x103722,a905),f918(x103722,a905)),f329(f329(f8(f918(a905,a905),f918(f918(x103722,a905),f918(x103722,a905)),x103722),f8(a905,a905,x103722)),f329(f329(f8(a905,f918(a905,a905),x103722),a327),f329(f329(f7(x103722,f918(x103722,a905),a905),f331(x103722)),x103723)))),f329(f329(f7(x103722,f918(x103722,a905),a905),f331(x103722)),x103721))))))),f329(f329(f238(x103722),f11(x103722,f237(x103722),x103723)),f11(x103722,f237(x103722),x103721))) % 166.52/166.36 [7306]~P122(x73063)+E(x73061,x73062)+~E(f329(f329(f249(x73063),x73061),x73064),f329(f329(f249(x73063),x73062),x73064))+~P1(f329(f329(f239(x73063),f2(x73063)),x73062))+~P1(f329(f329(f239(x73063),f2(x73063)),x73061))+~P1(f329(f329(f240(a910),f2(a910)),x73064)) % 166.52/166.36 [9287]~P1(f329(x92872,x92873))+~P1(f329(x92871,x92874))+E(f243(a910,x92871),f329(a117,f243(a910,x92872)))+P1(f329(x92872,f626(x92873,x92872,x92874,x92871)))+P1(f329(x92871,f2(a910)))+P1(f329(x92871,f329(a117,f626(x92873,x92872,x92874,x92871)))) % 166.52/166.36 [9539]~P1(f329(x95392,x95393))+~P1(f329(x95391,x95394))+E(f243(a910,x95391),f329(a117,f243(a910,x95392)))+~P1(f329(x95392,f626(x95393,x95392,x95394,x95391)))+P1(f329(x95391,f2(a910)))+~P1(f329(x95391,f329(a117,f626(x95393,x95392,x95394,x95391)))) % 166.52/166.36 [7591]~P112(x75912)+E(x75911,f191(f918(x75912,a905)))+~P1(f329(f62(x75912),x75911))+~P1(f329(f329(f331(x75912),x75914),x75911))+P1(f329(f329(f239(x75912),x75913),x75914))+~P1(f329(f329(f239(x75912),x75913),f329(f64(x75912,f237(x75912)),x75911))) % 166.52/166.36 [7592]~P104(x75922)+E(x75921,f191(f918(x75922,a905)))+~P1(f329(f62(x75922),x75921))+~P1(f329(f329(f331(x75922),x75924),x75921))+P1(f329(f329(f239(x75922),x75923),x75924))+~P1(f329(f329(f239(x75922),x75923),f329(f64(x75922,f106(x75922)),x75921))) % 166.52/166.36 [7593]~P112(x75932)+E(x75931,f191(f918(x75932,a905)))+~P1(f329(f62(x75932),x75931))+~P1(f329(f329(f331(x75932),x75934),x75931))+P1(f329(f329(f240(x75932),x75933),x75934))+~P1(f329(f329(f240(x75932),x75933),f329(f64(x75932,f237(x75932)),x75931))) % 166.52/166.36 [7491]E(x74911,f2(a1))+E(f329(f329(f37(a1),x74912),x74911),x74913)+~P1(f329(f329(f239(a1),x74914),f2(a1)))+~E(x74912,f329(f329(f82(a1),f329(f329(f83(a1),x74911),x74913)),x74914))+P1(f329(f329(f240(a1),f2(a1)),x74911))+~P1(f329(f329(f240(a1),x74911),x74914)) % 166.52/166.36 [7506]E(f46(a1,x75062,x75061),x75063)+E(x75061,f2(a1))+~P1(f329(f329(f239(a1),x75063),f2(a1)))+~E(x75062,f329(f329(f82(a1),f329(f329(f83(a1),x75061),x75064)),x75063))+P1(f329(f329(f240(a1),f2(a1)),x75061))+~P1(f329(f329(f240(a1),x75061),x75063)) % 166.52/166.36 [7630]E(x76301,f2(a1))+E(f329(f329(f37(a1),x76302),x76301),x76303)+~E(x76302,f329(f329(f82(a1),f329(f329(f83(a1),x76301),x76303)),x76304))+~P1(f329(f329(f239(a1),f2(a1)),x76304))+~P1(f329(f329(f240(a1),f2(a1)),x76301))+~P1(f329(f329(f240(a1),x76304),x76301)) % 166.52/166.36 [7650]E(f46(a1,x76502,x76501),x76503)+E(x76501,f2(a1))+~E(x76502,f329(f329(f82(a1),f329(f329(f83(a1),x76501),x76504)),x76503))+~P1(f329(f329(f239(a1),f2(a1)),x76503))+~P1(f329(f329(f240(a1),f2(a1)),x76501))+~P1(f329(f329(f240(a1),x76503),x76501)) % 166.52/166.36 [7792]~P112(x77922)+E(x77921,f191(f918(x77922,a905)))+~P1(f329(f62(x77922),x77921))+~P1(f329(f329(f239(x77922),x77924),x77923))+~P1(f329(f329(f331(x77922),x77924),x77921))+P1(f329(f329(f239(x77922),f329(f64(x77922,f237(x77922)),x77921)),x77923)) % 166.52/166.36 [7793]~P112(x77932)+E(x77931,f191(f918(x77932,a905)))+~P1(f329(f62(x77932),x77931))+~P1(f329(f329(f240(x77932),x77934),x77933))+~P1(f329(f329(f331(x77932),x77934),x77931))+P1(f329(f329(f240(x77932),f329(f64(x77932,f237(x77932)),x77931)),x77933)) % 166.52/166.36 [8373]~P1(f329(f329(f239(a1),x83734),f2(a1)))+~E(x83731,f329(f329(f82(a1),f329(f329(f83(a1),x83732),x83733)),x83734))+~P1(f329(f329(f239(a1),f2(a1)),x83734))+~P1(f329(f329(f240(a1),x83734),x83732))+~P1(f329(f329(f240(a1),x83732),x83734))+P1(f329(f50(x83731,x83732),f329(f329(f257(a1,a1),x83733),x83734))) % 166.52/166.36 [8543]~P114(x85431)+P1(f329(f329(f240(f918(x85431,a905)),f305(x85431,x85432,x85433)),f305(x85431,x85434,x85435)))+~P1(f329(f329(f239(x85431),x85434),x85432))+~P1(f329(f329(f239(x85431),x85434),x85435))+~P1(f329(f329(f239(x85431),x85433),x85435))+~P1(f329(f329(f240(x85431),x85433),x85435)) % 166.52/166.36 [8544]~P114(x85441)+P1(f329(f329(f240(f918(x85441,a905)),f305(x85441,x85442,x85443)),f305(x85441,x85444,x85445)))+~P1(f329(f329(f239(x85441),x85443),x85445))+~P1(f329(f329(f239(x85441),x85444),x85445))+~P1(f329(f329(f239(x85441),x85444),x85442))+~P1(f329(f329(f240(x85441),x85444),x85442)) % 166.52/166.36 [9406]P66(x94062,x94063,x94064,x94061)+E(x94061,f191(f918(x94062,a905)))+~P1(f329(f62(x94062),x94064))+~P1(f329(f62(x94062),x94061))+~P1(f329(f329(x94063,f537(x94061,x94064,x94063,x94062)),x94065))+~P1(f329(f329(f331(x94062),x94065),x94061)) % 166.52/166.36 [9407]P66(x94072,x94073,x94074,x94071)+E(x94071,f191(f918(x94072,a905)))+~P1(f329(f62(x94072),x94074))+~P1(f329(f62(x94072),x94071))+~P1(f329(f329(x94073,f822(x94073,x94071,x94074,x94072)),x94075))+~P1(f329(f329(f331(x94072),x94075),x94071)) % 166.52/166.36 [9408]P66(x94082,x94083,x94084,x94081)+E(x94081,f191(f918(x94082,a905)))+~P1(f329(f62(x94082),x94084))+~P1(f329(f62(x94082),x94081))+~P1(f329(f329(x94083,f824(x94081,x94084,x94083,x94082)),x94085))+~P1(f329(f329(f331(x94082),x94085),x94081)) % 166.52/166.36 [9555]~E(x95553,x95555)+~P5(x95551)+~P80(x95551)+~P47(x95553)+E(f329(f329(f6(a1,x95551),x95552),x95553),f329(f329(f6(a1,x95551),x95554),x95555))+P1(f329(f329(f239(a1),f2(a1)),f394(x95552,x95554,x95553,x95555,x95551))) % 166.52/166.36 [9556]~E(x95563,x95565)+~P5(x95561)+~P80(x95561)+~P47(x95563)+E(f329(f329(f9(a1,x95561),x95562),x95563),f329(f329(f9(a1,x95561),x95564),x95565))+P1(f329(f329(f239(a1),f2(a1)),f487(x95562,x95564,x95563,x95565,x95561))) % 166.52/166.36 [9729]~E(x97295,x97293)+~P5(x97291)+~P80(x97291)+~P47(x97295)+~E(f329(x97292,f394(x97294,x97292,x97295,x97293,x97291)),f329(x97294,f394(x97294,x97292,x97295,x97293,x97291)))+E(f329(f329(f6(a1,x97291),x97292),x97293),f329(f329(f6(a1,x97291),x97294),x97295)) % 166.52/166.36 [9730]~E(x97305,x97303)+~P5(x97301)+~P80(x97301)+~P47(x97305)+~E(f329(x97302,f487(x97304,x97302,x97305,x97303,x97301)),f329(x97304,f487(x97304,x97302,x97305,x97303,x97301)))+E(f329(f329(f9(a1,x97301),x97302),x97303),f329(f329(f9(a1,x97301),x97304),x97305)) % 166.52/166.36 [9819]~P86(x98193)+E(f329(x98191,x98192),f2(x98193))+~E(f329(f329(f6(x98194,x98193),x98191),x98195),f2(x98193))+~P1(f329(f62(x98194),x98195))+P1(f329(f329(f331(x98194),f871(x98192,x98191,x98195,x98194,x98193)),x98195))+~P1(f329(f329(f331(x98194),x98192),x98195)) % 166.52/166.36 [9949]~P86(x99493)+E(f329(x99491,x99492),f2(x99493))+~E(f329(f329(f6(x99494,x99493),x99491),x99495),f2(x99493))+~P1(f329(f62(x99494),x99495))+~P1(f329(f329(f331(x99494),x99492),x99495))+~P1(f329(f329(f239(x99493),f2(x99493)),f329(x99491,f871(x99492,x99491,x99495,x99494,x99493)))) % 166.52/166.36 [8460]~P140(x84601)+~P1(f329(f329(f239(x84601),x84603),x84605))+~P1(f329(f329(f239(x84601),x84602),x84604))+~P1(f329(f329(f239(x84601),f2(x84601)),x84603))+~P1(f329(f329(f239(x84601),f2(x84601)),x84604))+P1(f329(f329(f239(x84601),f329(f329(f83(x84601),x84602),x84603)),f329(f329(f83(x84601),x84604),x84605))) % 166.52/166.36 [8461]~P140(x84611)+~P1(f329(f329(f239(x84611),x84613),x84615))+~P1(f329(f329(f239(x84611),x84612),x84614))+~P1(f329(f329(f239(x84611),f2(x84611)),x84613))+~P1(f329(f329(f239(x84611),f2(x84611)),x84612))+P1(f329(f329(f239(x84611),f329(f329(f83(x84611),x84612),x84613)),f329(f329(f83(x84611),x84614),x84615))) % 166.52/166.36 [8462]~P74(x84621)+~P1(f329(f329(f240(x84621),f2(x84621)),x84625))+~P1(f329(f329(f239(x84621),x84625),x84623))+~P1(f329(f329(f239(x84621),x84622),x84624))+~P1(f329(f329(f239(x84621),f2(x84621)),x84622))+P1(f329(f329(f239(x84621),f329(f329(f292(x84621),x84622),x84623)),f329(f329(f292(x84621),x84624),x84625))) % 166.52/166.36 [8463]~P133(x84631)+~P1(f329(f329(f239(x84631),x84633),x84635))+~P1(f329(f329(f239(x84631),f2(x84631)),x84632))+~P1(f329(f329(f240(x84631),x84632),x84634))+~P1(f329(f329(f240(x84631),f2(x84631)),x84633))+P1(f329(f329(f240(x84631),f329(f329(f83(x84631),x84632),x84633)),f329(f329(f83(x84631),x84634),x84635))) % 166.52/166.36 [8464]~P133(x84641)+~P1(f329(f329(f239(x84641),x84642),x84644))+~P1(f329(f329(f239(x84641),f2(x84641)),x84643))+~P1(f329(f329(f240(x84641),x84643),x84645))+~P1(f329(f329(f240(x84641),f2(x84641)),x84642))+P1(f329(f329(f240(x84641),f329(f329(f83(x84641),x84642),x84643)),f329(f329(f83(x84641),x84644),x84645))) % 166.52/166.36 [8465]~P133(x84651)+~P1(f329(f329(f239(x84651),f2(x84651)),x84653))+~P1(f329(f329(f239(x84651),f2(x84651)),x84652))+~P1(f329(f329(f240(x84651),x84653),x84655))+~P1(f329(f329(f240(x84651),x84652),x84654))+P1(f329(f329(f240(x84651),f329(f329(f83(x84651),x84652),x84653)),f329(f329(f83(x84651),x84654),x84655))) % 166.52/166.36 [8466]~P133(x84661)+~P1(f329(f329(f239(x84661),f2(x84661)),x84663))+~P1(f329(f329(f240(x84661),x84663),x84665))+~P1(f329(f329(f240(x84661),x84662),x84664))+~P1(f329(f329(f240(x84661),f2(x84661)),x84664))+P1(f329(f329(f240(x84661),f329(f329(f83(x84661),x84662),x84663)),f329(f329(f83(x84661),x84664),x84665))) % 166.52/166.36 [8467]~P74(x84671)+~P1(f329(f329(f239(x84671),x84675),x84673))+~P1(f329(f329(f239(x84671),f2(x84671)),x84672))+~P1(f329(f329(f240(x84671),x84672),x84674))+~P1(f329(f329(f240(x84671),f2(x84671)),x84675))+P1(f329(f329(f240(x84671),f329(f329(f292(x84671),x84672),x84673)),f329(f329(f292(x84671),x84674),x84675))) % 166.52/166.36 [8468]~P74(x84681)+~P1(f329(f329(f239(x84681),x84682),x84684))+~P1(f329(f329(f240(x84681),x84685),x84683))+~P1(f329(f329(f240(x84681),f2(x84681)),x84685))+~P1(f329(f329(f240(x84681),f2(x84681)),x84682))+P1(f329(f329(f240(x84681),f329(f329(f292(x84681),x84682),x84683)),f329(f329(f292(x84681),x84684),x84685))) % 166.52/166.36 [9861]~P5(x98615)+~P91(x98615)+E(x98611,f191(f918(x98612,a905)))+~P1(f329(f62(x98612),x98611))+P1(f329(f329(f331(x98612),f345(x98613,x98614,x98611,x98612,x98615)),x98611))+P1(f329(f329(f240(x98615),f329(f329(f6(x98612,x98615),x98614),x98611)),f329(f329(f6(x98612,x98615),x98613),x98611))) % 166.52/166.36 [9972]~P5(x99721)+~P85(x99721)+~P1(f329(f62(x99722),x99725))+~P1(f329(f329(f239(x99721),f2(x99721)),f329(x99723,f872(x99723,x99724,x99725,x99722,x99721))))+P1(f329(f329(f239(x99721),f329(f329(f6(x99722,x99721),x99723),x99724)),f329(f329(f6(x99722,x99721),x99723),x99725)))+~P1(f329(f329(f239(f918(x99722,a905)),x99724),x99725)) % 166.52/166.36 [10130]~P5(x101303)+~P91(x101303)+E(x101301,f191(f918(x101302,a905)))+~P1(f329(f62(x101302),x101301))+~P1(f329(f329(f240(x101303),f329(x101304,f345(x101305,x101304,x101301,x101302,x101303))),f329(x101305,f345(x101305,x101304,x101301,x101302,x101303))))+P1(f329(f329(f240(x101303),f329(f329(f6(x101302,x101303),x101304),x101301)),f329(f329(f6(x101302,x101303),x101305),x101301))) % 166.52/166.36 [7163]~P22(x71632,x71635,x71634)+E(x71631,f191(f918(x71632,a905)))+E(x71633,f191(f918(x71632,a905)))+~P1(f329(f62(x71632),x71631))+~P1(f329(f62(x71632),x71633))+E(f329(x71634,f329(f329(f115(f918(x71632,a905)),x71633),x71631)),f329(f329(x71635,f329(x71634,x71633)),f329(x71634,x71631))) % 166.52/166.36 [7759]~P149(x77591,x77593,x77594)+P1(f329(x77591,x77592))+~P1(f329(f329(f240(a1),x77594),f2(a1)))+~P1(f329(f329(f239(a1),x77595),f2(a1)))+~E(x77593,f329(f329(f82(a1),f329(f329(f83(a1),x77594),x77592)),x77595))+~P1(f329(f329(f240(a1),x77594),x77595)) % 166.52/166.36 [7760]~P148(x77601,x77603,x77604)+P1(f329(x77601,x77602))+~P1(f329(f329(f240(a1),x77604),f2(a1)))+~P1(f329(f329(f239(a1),x77602),f2(a1)))+~E(x77603,f329(f329(f82(a1),f329(f329(f83(a1),x77604),x77605)),x77602))+~P1(f329(f329(f240(a1),x77604),x77602)) % 166.52/166.36 [7802]~P149(x78021,x78023,x78024)+P1(f329(x78021,x78022))+~E(x78023,f329(f329(f82(a1),f329(f329(f83(a1),x78024),x78022)),x78025))+~P1(f329(f329(f239(a1),f2(a1)),x78025))+~P1(f329(f329(f240(a1),f2(a1)),x78024))+~P1(f329(f329(f240(a1),x78025),x78024)) % 166.52/166.36 [7803]~P148(x78031,x78033,x78034)+P1(f329(x78031,x78032))+~E(x78033,f329(f329(f82(a1),f329(f329(f83(a1),x78034),x78035)),x78032))+~P1(f329(f329(f239(a1),f2(a1)),x78032))+~P1(f329(f329(f240(a1),f2(a1)),x78034))+~P1(f329(f329(f240(a1),x78032),x78034)) % 166.52/166.36 [8761]P1(f329(f329(x87611,x87612),x87613))+~P1(f329(f329(x87611,f329(f329(f37(a1),x87614),x87615)),f46(a1,x87614,x87615)))+~P1(f329(f329(f240(a1),x87615),f2(a1)))+~P1(f329(f329(f239(a1),x87613),f2(a1)))+~E(x87614,f329(f329(f82(a1),f329(f329(f83(a1),x87615),x87612)),x87613))+~P1(f329(f329(f240(a1),x87615),x87613)) % 166.52/166.36 [8769]P1(f329(f329(x87691,x87692),x87693))+~P1(f329(f329(x87691,f329(f329(f37(a1),x87694),x87695)),f46(a1,x87694,x87695)))+~E(x87694,f329(f329(f82(a1),f329(f329(f83(a1),x87695),x87692)),x87693))+~P1(f329(f329(f239(a1),f2(a1)),x87693))+~P1(f329(f329(f240(a1),f2(a1)),x87695))+~P1(f329(f329(f240(a1),x87693),x87695)) % 166.52/166.36 [9015]E(x90151,x90152)+~P63(x90153,x90155,x90154)+~P1(f329(f329(f331(x90153),x90152),x90155))+~P1(f329(f329(f331(x90153),x90151),x90155))+P1(f329(f329(f331(f917(x90153,x90153)),f329(f329(f257(x90153,x90153),x90151),x90152)),x90154))+P1(f329(f329(f331(f917(x90153,x90153)),f329(f329(f257(x90153,x90153),x90152),x90151)),x90154)) % 166.52/166.36 [9838]~P114(x98381)+~P114(x98382)+~P46(x98382,x98381,x98383)+~P1(f329(f329(f239(x98382),x98385),f738(x98384,x98383,x98382,x98381,x98385)))+E(f243(x98381,f329(f329(f7(x98381,f918(x98381,a905),a905),f331(x98381)),f329(f312(x98382,x98381,x98383),x98384))),f329(x98383,f243(x98382,f329(f329(f7(x98382,f918(x98382,a905),a905),f331(x98382)),x98384))))+~P1(f329(f329(f331(x98382),x98385),x98384)) % 166.52/166.36 [9889]~P5(x98895)+~P85(x98895)+~P1(f329(f62(x98891),x98894))+P1(f329(f329(f239(x98895),f329(f329(f6(x98891,x98895),x98892),x98893)),f329(f329(f6(x98891,x98895),x98892),x98894)))+~P1(f329(f329(f239(f918(x98891,a905)),x98893),x98894))+P1(f329(f329(f331(x98891),f872(x98892,x98893,x98894,x98891,x98895)),f329(f329(f23(f918(x98891,a905)),x98894),x98893))) % 166.52/166.36 [9905]~P114(x99051)+~P114(x99052)+~P46(x99052,x99051,x99053)+E(f243(x99051,f329(f329(f7(x99051,f918(x99051,a905),a905),f331(x99051)),f329(f312(x99052,x99051,x99053),x99054))),f329(x99053,f243(x99052,f329(f329(f7(x99052,f918(x99052,a905),a905),f331(x99052)),x99054))))+~P1(f329(f329(f331(x99052),x99055),x99054))+P1(f329(f329(f331(x99052),f738(x99054,x99053,x99052,x99051,x99055)),x99054)) % 166.52/166.36 [9980]E(x99801,f191(f918(x99802,a905)))+~P1(f329(f62(x99802),x99803))+~P1(f329(f62(x99802),x99801))+P1(f329(f329(f331(f917(f918(x99802,a905),f918(x99802,a905))),f329(f329(f257(f918(x99802,a905),f918(x99802,a905)),x99803),x99801)),f320(x99802,x99804)))+~P1(f329(f329(f331(x99802),x99805),x99801))+~P1(f329(f329(f331(f917(x99802,x99802)),f329(f329(f257(x99802,x99802),f540(x99804,x99801,x99803,x99802)),x99805)),x99804)) % 166.52/166.36 [9981]E(x99811,f191(f918(x99812,a905)))+~P1(f329(f62(x99812),x99813))+~P1(f329(f62(x99812),x99811))+P1(f329(f329(f331(f917(f918(x99812,a905),f918(x99812,a905))),f329(f329(f257(f918(x99812,a905),f918(x99812,a905)),x99813),x99811)),f320(x99812,x99814)))+~P1(f329(f329(f331(x99812),x99815),x99811))+~P1(f329(f329(f331(f917(x99812,x99812)),f329(f329(f257(x99812,x99812),f589(x99814,x99811,x99813,x99812)),x99815)),x99814)) % 166.52/166.36 [10134]~P86(x101341)+~E(f329(f329(f6(x101345,x101341),x101342),x101346),x101344)+~P1(f329(f62(x101345),x101346))+P1(f329(f329(f331(x101345),f875(x101343,x101344,x101342,x101346,x101345,x101341)),x101346))+P1(f329(f329(f239(x101341),f329(x101342,x101343)),x101344))+~P1(f329(f329(f331(x101345),x101343),x101346)) % 166.52/166.36 [10179]~P86(x101791)+~E(f329(f329(f6(x101795,x101791),x101792),x101796),x101794)+~P1(f329(f62(x101795),x101796))+~P1(f329(f329(f331(x101795),x101793),x101796))+~P1(f329(f329(f239(x101791),f2(x101791)),f329(x101792,f875(x101793,x101794,x101792,x101796,x101795,x101791))))+P1(f329(f329(f239(x101791),f329(x101792,x101793)),x101794)) % 166.52/166.36 [10314]~E(x103145,x103148)+~E(x103144,x103147)+~P5(x103142)+~P113(x103141)+E(f329(f329(f6(x103141,x103142),x103143),f329(f304(x103141,x103144),x103145)),f329(f329(f6(x103141,x103142),x103146),f329(f304(x103141,x103147),x103148)))+P1(f329(f329(f239(x103141),x103144),f594(x103143,x103146,x103145,x103148,x103144,x103147,x103141,x103142))) % 166.52/166.36 [10332]~E(x103327,x103324)+~E(x103328,x103325)+~P5(x103322)+~P113(x103321)+~E(f329(x103323,f594(x103326,x103323,x103328,x103325,x103327,x103324,x103321,x103322)),f329(x103326,f594(x103326,x103323,x103328,x103325,x103327,x103324,x103321,x103322)))+E(f329(f329(f6(x103321,x103322),x103323),f329(f304(x103321,x103324),x103325)),f329(f329(f6(x103321,x103322),x103326),f329(f304(x103321,x103327),x103328))) % 166.52/166.36 [10337]~E(x103374,x103377)+~E(x103375,x103378)+~P5(x103372)+~P113(x103371)+E(f329(f329(f6(x103371,x103372),x103373),f329(f304(x103371,x103374),x103375)),f329(f329(f6(x103371,x103372),x103376),f329(f304(x103371,x103377),x103378)))+P1(f329(f329(f240(x103371),f594(x103373,x103376,x103375,x103378,x103374,x103377,x103371,x103372)),x103375)) % 166.52/166.36 [9986]~P13(x99865,x99869,x99866)+~P13(x99861,x998610,x99863)+~P17(x99861,x99865,f918(x99862,a905),x99863,x99866,x99868)+~P1(f329(f329(f331(x99865),x99867),x99869))+~P1(f329(f329(f331(x99861),x99864),x998610))+E(f329(f329(f40(x99861,f918(x99862,a905)),f329(f288(x99861,x99861,x99863),f329(f329(f311(x99861),x99864),f191(f918(x99861,a905))))),f329(f329(f8(f918(x99865,f918(x99862,a905)),f918(x99862,a905),x99861),f329(f40(x99865,f918(x99862,a905)),f329(f288(x99865,x99865,x99866),f329(f329(f311(x99865),x99867),f191(f918(x99865,a905)))))),x99868)),f329(f329(x99868,x99864),x99867)) % 166.52/166.36 [5699]~P112(x56993)+~P18(x56993,x56992)+~P18(x56993,x56991)+E(x56991,x56992)+~E(f329(f175(x56993),x56991),f329(f175(x56993),x56992))+~P1(f329(f140(x56993),x56992))+~P1(f329(f140(x56993),x56991)) % 166.52/166.36 [5029]~P147(x50292)+~P131(x50292)+~P132(x50292)+~P119(x50292)+~E(x50293,f2(x50292))+E(x50291,f2(a910))+E(f329(f329(f249(x50292),x50293),x50291),f2(x50292)) % 166.52/166.36 [9286]E(x92861,f2(a910))+~E(x92862,f329(f329(f82(a910),f329(f329(f83(a910),f329(f256(a910,a910),x92863)),x92861)),f329(f261(a910,a910),x92863)))+P1(f329(f49(x92862,x92861),x92863))+~P1(f329(f329(f239(a910),f329(f261(a910,a910),x92863)),f2(a910)))+~P1(f329(f329(f239(a910),f2(a910)),f329(f261(a910,a910),x92863)))+~P1(f329(f329(f240(a910),x92861),f329(f261(a910,a910),x92863)))+~P1(f329(f329(f240(a910),f329(f261(a910,a910),x92863)),x92861)) % 166.52/166.36 [9295]~E(f329(f256(a910,a910),x92953),f2(a910))+~E(x92951,f329(f329(f82(a910),f329(f329(f83(a910),f329(f256(a910,a910),x92953)),x92952)),f329(f261(a910,a910),x92953)))+P1(f329(f49(x92951,x92952),x92953))+~P1(f329(f329(f239(a910),f329(f261(a910,a910),x92953)),f2(a910)))+~P1(f329(f329(f239(a910),f2(a910)),f329(f261(a910,a910),x92953)))+~P1(f329(f329(f240(a910),x92952),f329(f261(a910,a910),x92953)))+~P1(f329(f329(f240(a910),f329(f261(a910,a910),x92953)),x92952)) % 166.52/166.36 [8124]~P76(x81242)+E(x81241,f191(f918(x81242,a905)))+E(x81243,f191(f918(x81242,a905)))+~P1(f329(f62(x81242),x81241))+~P1(f329(f62(x81242),x81243))+~E(f329(f329(f106(f918(x81242,a905)),x81243),x81241),f191(f918(x81242,a905)))+E(f329(f329(f83(x81242),f329(f64(x81242,f83(x81242)),x81243)),f329(f64(x81242,f83(x81242)),x81241)),f329(f64(x81242,f83(x81242)),f329(f329(f115(f918(x81242,a905)),x81243),x81241))) % 166.52/166.36 [7899]E(x78991,f2(a1))+E(f329(f329(f37(a1),x78992),x78991),x78993)+~P1(f329(f329(f239(a1),x78994),f2(a1)))+~E(x78992,f329(f329(f82(a1),f329(f329(f83(a1),x78991),x78993)),x78994))+~P1(f329(f329(f239(a1),f2(a1)),x78994))+~P1(f329(f329(f240(a1),x78994),x78991))+~P1(f329(f329(f240(a1),x78991),x78994)) % 166.52/166.36 [7907]E(f46(a1,x79072,x79071),x79073)+E(x79071,f2(a1))+~P1(f329(f329(f239(a1),x79073),f2(a1)))+~E(x79072,f329(f329(f82(a1),f329(f329(f83(a1),x79071),x79074)),x79073))+~P1(f329(f329(f239(a1),f2(a1)),x79073))+~P1(f329(f329(f240(a1),x79073),x79071))+~P1(f329(f329(f240(a1),x79071),x79073)) % 166.52/166.36 [7811]~P23(x78112,x78115,x78114)+E(x78111,f191(f918(x78112,a905)))+E(x78113,f191(f918(x78112,a905)))+~P1(f329(f62(x78112),x78111))+~P1(f329(f62(x78112),x78113))+~E(f329(f329(f106(f918(x78112,a905)),x78113),x78111),f191(f918(x78112,a905)))+E(f329(x78114,f329(f329(f115(f918(x78112,a905)),x78113),x78111)),f329(f329(x78115,f329(x78114,x78113)),f329(x78114,x78111))) % 166.52/166.36 [9526]~P30(x95263,x95261,x95265,x95264)+~P30(x95261,x95263,x95266,x95262)+E(f329(f36(x95261),x95262),f329(f36(x95263),x95264))+~P1(f329(f62(x95263),x95264))+~P1(f329(f62(x95261),x95262))+~P1(f329(f329(f239(f918(x95263,a905)),f329(f312(x95261,x95263,x95266),x95262)),x95264))+~P1(f329(f329(f239(f918(x95261,a905)),f329(f312(x95263,x95261,x95265),x95264)),x95262)) % 166.52/166.36 [9472]~P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f83(a1),x94725),x94721)),x94726)),f2(a1)))+~E(f329(f329(f82(a1),f329(f329(f83(a1),x94723),x94722)),x94724),f329(f329(f82(a1),f329(f329(f83(a1),x94725),x94721)),x94726))+~P1(f329(f329(f239(a1),f2(a1)),x94726))+~P1(f329(f329(f240(a1),f2(a1)),x94725))+~P1(f329(f329(f239(a1),x94725),x94723))+~P1(f329(f329(f240(a1),x94724),x94723))+P1(f329(f329(f239(a1),x94721),x94722)) % 166.52/166.36 [9229]~E(f329(f329(f82(a1),f329(f329(f83(a1),x92293),x92291)),x92294),f329(f329(f82(a1),f329(f329(f83(a1),x92295),x92292)),x92296))+~P1(f329(f329(f239(a1),f2(a1)),x92294))+~P1(f329(f329(f240(a1),f2(a1)),x92295))+~P1(f329(f329(f239(a1),x92295),x92293))+~P1(f329(f329(f240(a1),x92296),x92295))+P1(f329(f329(f239(a1),x92291),x92292))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),f329(f329(f83(a1),x92295),x92292)),x92296))) % 166.52/166.36 [9412]~P135(x94121)+~E(f329(f329(f82(x94121),x94122),x94124),f80(x94121))+~P1(f329(f329(f239(x94121),x94125),x94126))+~P1(f329(f329(f239(x94121),x94123),x94126))+~P1(f329(f329(f239(x94121),f2(x94121)),x94124))+~P1(f329(f329(f239(x94121),f2(x94121)),x94122))+P1(f329(f329(f239(x94121),f329(f329(f82(x94121),f329(f329(f83(x94121),x94122),x94123)),f329(f329(f83(x94121),x94124),x94125))),x94126)) % 166.52/166.36 [9413]~P136(x94131)+~E(f329(f329(f82(x94131),x94132),x94134),f80(x94131))+~P1(f329(f329(f239(x94131),f2(x94131)),x94134))+~P1(f329(f329(f239(x94131),f2(x94131)),x94132))+~P1(f329(f329(f240(x94131),x94135),x94136))+~P1(f329(f329(f240(x94131),x94133),x94136))+P1(f329(f329(f240(x94131),f329(f329(f82(x94131),f329(f329(f83(x94131),x94132),x94133)),f329(f329(f83(x94131),x94134),x94135))),x94136)) % 166.52/166.36 [10229]~P13(x102297,x102296,x102295)+E(x102291,x102292)+~P16(x102297,f918(x102294,a905),x102295,x102293)+E(f329(x102293,f524(x102291,x102292,x102293,x102294,x102295,x102296,x102297)),f329(x102293,f525(x102291,x102292,x102293,x102294,x102295,x102296,x102297)))+~E(f329(f329(f40(x102297,f918(x102294,a905)),x102291),x102293),f329(f329(f40(x102297,f918(x102294,a905)),x102292),x102293))+~P1(f329(f329(f331(f918(x102297,a905)),x102292),f329(f329(f61(x102297),x102296),x102295)))+~P1(f329(f329(f331(f918(x102297,a905)),x102291),f329(f329(f61(x102297),x102296),x102295))) % 166.52/166.36 [10271]~P13(x102713,x102717,x102716)+E(x102711,x102712)+~P16(x102713,f918(x102715,a905),x102716,x102714)+~E(f329(f329(f40(x102713,f918(x102715,a905)),x102711),x102714),f329(f329(f40(x102713,f918(x102715,a905)),x102712),x102714))+P1(f329(f329(f331(x102713),f525(x102711,x102712,x102714,x102715,x102716,x102717,x102713)),x102717))+~P1(f329(f329(f331(f918(x102713,a905)),x102712),f329(f329(f61(x102713),x102717),x102716)))+~P1(f329(f329(f331(f918(x102713,a905)),x102711),f329(f329(f61(x102713),x102717),x102716))) % 166.52/166.36 [10272]~P13(x102723,x102727,x102726)+E(x102721,x102722)+~P16(x102723,f918(x102725,a905),x102726,x102724)+~E(f329(f329(f40(x102723,f918(x102725,a905)),x102721),x102724),f329(f329(f40(x102723,f918(x102725,a905)),x102722),x102724))+P1(f329(f329(f331(x102723),f524(x102721,x102722,x102724,x102725,x102726,x102727,x102723)),x102727))+~P1(f329(f329(f331(f918(x102723,a905)),x102722),f329(f329(f61(x102723),x102727),x102726)))+~P1(f329(f329(f331(f918(x102723,a905)),x102721),f329(f329(f61(x102723),x102727),x102726))) % 166.52/166.36 [10354]E(x103541,x103542)+~P13(x103543,x103546,x103547)+~P16(x103543,f918(x103544,a905),x103547,x103545)+~E(f329(f329(f40(x103543,f918(x103544,a905)),x103541),x103545),f329(f329(f40(x103543,f918(x103544,a905)),x103542),x103545))+~P1(f329(f329(f331(f917(x103543,x103543)),f329(f329(f257(x103543,x103543),f525(x103541,x103542,x103545,x103544,x103547,x103546,x103543)),f524(x103541,x103542,x103545,x103544,x103547,x103546,x103543))),x103547))+~P1(f329(f329(f331(f918(x103543,a905)),x103542),f329(f329(f61(x103543),x103546),x103547)))+~P1(f329(f329(f331(f918(x103543,a905)),x103541),f329(f329(f61(x103543),x103546),x103547))) % 166.52/166.36 [9228]~P13(x92281,x92287,x92284)+~E(x92285,x92286)+~P1(f329(f329(f331(x92281),x92283),x92286))+~P1(f329(f329(f331(x92281),x92282),x92285))+~P1(f329(f329(f331(f918(x92281,a905)),x92286),f329(f329(f61(x92281),x92287),x92284)))+~P1(f329(f329(f331(f918(x92281,a905)),x92285),f329(f329(f61(x92281),x92287),x92284)))+P1(f329(f329(f331(f917(x92281,x92281)),f329(f329(f257(x92281,x92281),x92282),x92283)),x92284)) % 166.52/166.36 [9371]E(x93711,x93712)+~P13(x93713,x93714,x93715)+~P1(f329(f329(f331(x93713),x93716),x93712))+~P1(f329(f329(f331(x93713),x93717),x93711))+~P1(f329(f329(f331(f918(x93713,a905)),x93712),f329(f329(f61(x93713),x93714),x93715)))+~P1(f329(f329(f331(f918(x93713,a905)),x93711),f329(f329(f61(x93713),x93714),x93715)))+~P1(f329(f329(f331(f917(x93713,x93713)),f329(f329(f257(x93713,x93713),x93717),x93716)),x93715)) % 166.52/166.36 [10374]~P13(x103749,x103748,x103747)+~P13(x103741,x1037411,x1037410)+~P17(x103741,x103749,f918(x103746,a905),x1037410,x103747,x103745)+P1(f329(f329(f331(x103741),f528(x103742,x103743,x103744,x103745,x103746,x103747,x103748,x103749,x1037410,x1037411,x103741)),x1037411))+~P1(f329(f329(f331(f918(x103749,a905)),x103743),f329(f329(f61(x103749),x103748),x103747)))+~P1(f329(f329(f331(f918(x103741,a905)),x103744),f329(f329(f61(x103741),x1037411),x1037410)))+P1(f329(f329(f331(f918(x103746,a905)),f329(f329(f40(x103741,f918(x103746,a905)),x103744),f329(f329(f8(f918(x103749,f918(x103746,a905)),f918(x103746,a905),x103741),f329(f40(x103749,f918(x103746,a905)),x103743)),x103745))),x103742)) % 166.52/166.36 [10375]~P13(x1037511,x1037510,x103759)+~P13(x103751,x103758,x103757)+~P17(x1037511,x103751,f918(x103756,a905),x103759,x103757,x103755)+P1(f329(f329(f331(x103751),f529(x103752,x103753,x103754,x103755,x103756,x103757,x103758,x103751,x103759,x1037510,x1037511)),x103758))+~P1(f329(f329(f331(f918(x1037511,a905)),x103754),f329(f329(f61(x1037511),x1037510),x103759)))+~P1(f329(f329(f331(f918(x103751,a905)),x103753),f329(f329(f61(x103751),x103758),x103757)))+P1(f329(f329(f331(f918(x103756,a905)),f329(f329(f40(x1037511,f918(x103756,a905)),x103754),f329(f329(f8(f918(x103751,f918(x103756,a905)),f918(x103756,a905),x1037511),f329(f40(x103751,f918(x103756,a905)),x103753)),x103755))),x103752)) % 166.52/166.36 [10378]~P13(x103782,x103788,x103789)+~P13(x103784,x1037810,x1037811)+~P17(x103782,x103784,f918(x103781,a905),x103789,x1037811,x103786)+~P1(f329(f329(f331(f918(x103782,a905)),x103783),f329(f329(f61(x103782),x103788),x103789)))+~P1(f329(f329(f331(f918(x103784,a905)),x103785),f329(f329(f61(x103784),x1037810),x1037811)))+~P1(f329(f329(f331(f918(x103781,a905)),f329(f329(x103786,f528(x103787,x103785,x103783,x103786,x103781,x1037811,x1037810,x103784,x103789,x103788,x103782)),f529(x103787,x103785,x103783,x103786,x103781,x1037811,x1037810,x103784,x103789,x103788,x103782))),x103787))+P1(f329(f329(f331(f918(x103781,a905)),f329(f329(f40(x103782,f918(x103781,a905)),x103783),f329(f329(f8(f918(x103784,f918(x103781,a905)),f918(x103781,a905),x103782),f329(f40(x103784,f918(x103781,a905)),x103785)),x103786))),x103787)) % 166.52/166.36 [9272]E(x92721,x92722)+~P112(x92724)+~P30(x92723,x92724,x92725,f329(f329(f115(f918(x92723,a905)),f329(f175(x92723),x92721)),f329(f175(x92723),x92722)))+~E(f329(f175(x92723),x92721),f329(f175(x92723),x92722))+~P18(x92724,f329(f329(f157(x92723,x92724),x92725),x92722))+~P18(x92724,f329(f329(f157(x92723,x92724),x92725),x92721))+~P1(f329(f140(x92724),f329(f329(f157(x92723,x92724),x92725),x92722)))+~P1(f329(f140(x92724),f329(f329(f157(x92723,x92724),x92725),x92721))) % 166.52/166.36 %EqnAxiom % 166.52/166.36 [1]E(x11,x11) % 166.52/166.36 [2]E(x22,x21)+~E(x21,x22) % 166.52/166.36 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 166.52/166.36 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 166.52/166.36 [5]~E(x51,x52)+E(f105(x51),f105(x52)) % 166.52/166.36 [6]~E(x61,x62)+E(f23(x61),f23(x62)) % 166.52/166.36 [7]~E(x71,x72)+E(f191(x71),f191(x72)) % 166.52/166.36 [8]~E(x81,x82)+E(f329(x81,x83),f329(x82,x83)) % 166.52/166.36 [9]~E(x91,x92)+E(f329(x93,x91),f329(x93,x92)) % 166.52/166.36 [10]~E(x101,x102)+E(f30(x101),f30(x102)) % 166.52/166.36 [11]~E(x111,x112)+E(f5(x111),f5(x112)) % 166.52/166.36 [12]~E(x121,x122)+E(f106(x121),f106(x122)) % 166.52/166.36 [13]~E(x131,x132)+E(f237(x131),f237(x132)) % 166.52/166.36 [14]~E(x141,x142)+E(f115(x141),f115(x142)) % 166.52/166.36 [15]~E(x151,x152)+E(f238(x151),f238(x152)) % 166.52/166.36 [16]~E(x161,x162)+E(f107(x161),f107(x162)) % 166.52/166.36 [17]~E(x171,x172)+E(f33(x171),f33(x172)) % 166.52/166.36 [18]~E(x181,x182)+E(f86(x181),f86(x182)) % 166.52/166.36 [19]~E(x191,x192)+E(f918(x191,x193),f918(x192,x193)) % 166.52/166.36 [20]~E(x201,x202)+E(f918(x203,x201),f918(x203,x202)) % 166.52/166.36 [21]~E(x211,x212)+E(f312(x211,x213,x214),f312(x212,x213,x214)) % 166.52/166.36 [22]~E(x221,x222)+E(f312(x223,x221,x224),f312(x223,x222,x224)) % 166.52/166.36 [23]~E(x231,x232)+E(f312(x233,x234,x231),f312(x233,x234,x232)) % 166.52/166.36 [24]~E(x241,x242)+E(f529(x241,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f529(x242,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412)) % 166.52/166.36 [25]~E(x251,x252)+E(f529(x253,x251,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512),f529(x253,x252,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512)) % 166.52/166.36 [26]~E(x261,x262)+E(f529(x263,x264,x261,x265,x266,x267,x268,x269,x2610,x2611,x2612),f529(x263,x264,x262,x265,x266,x267,x268,x269,x2610,x2611,x2612)) % 166.52/166.36 [27]~E(x271,x272)+E(f529(x273,x274,x275,x271,x276,x277,x278,x279,x2710,x2711,x2712),f529(x273,x274,x275,x272,x276,x277,x278,x279,x2710,x2711,x2712)) % 166.52/166.36 [28]~E(x281,x282)+E(f529(x283,x284,x285,x286,x281,x287,x288,x289,x2810,x2811,x2812),f529(x283,x284,x285,x286,x282,x287,x288,x289,x2810,x2811,x2812)) % 166.52/166.36 [29]~E(x291,x292)+E(f529(x293,x294,x295,x296,x297,x291,x298,x299,x2910,x2911,x2912),f529(x293,x294,x295,x296,x297,x292,x298,x299,x2910,x2911,x2912)) % 166.52/166.36 [30]~E(x301,x302)+E(f529(x303,x304,x305,x306,x307,x308,x301,x309,x3010,x3011,x3012),f529(x303,x304,x305,x306,x307,x308,x302,x309,x3010,x3011,x3012)) % 166.52/166.36 [31]~E(x311,x312)+E(f529(x313,x314,x315,x316,x317,x318,x319,x311,x3110,x3111,x3112),f529(x313,x314,x315,x316,x317,x318,x319,x312,x3110,x3111,x3112)) % 166.52/166.36 [32]~E(x321,x322)+E(f529(x323,x324,x325,x326,x327,x328,x329,x3210,x321,x3211,x3212),f529(x323,x324,x325,x326,x327,x328,x329,x3210,x322,x3211,x3212)) % 166.52/166.36 [33]~E(x331,x332)+E(f529(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x331,x3312),f529(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x332,x3312)) % 166.52/166.36 [34]~E(x341,x342)+E(f529(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x341),f529(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x342)) % 166.52/166.36 [35]~E(x351,x352)+E(f7(x351,x353,x354),f7(x352,x353,x354)) % 166.52/166.36 [36]~E(x361,x362)+E(f7(x363,x361,x364),f7(x363,x362,x364)) % 166.52/166.36 [37]~E(x371,x372)+E(f7(x373,x374,x371),f7(x373,x374,x372)) % 166.52/166.36 [38]~E(x381,x382)+E(f80(x381),f80(x382)) % 166.52/166.36 [39]~E(x391,x392)+E(f528(x391,x393,x394,x395,x396,x397,x398,x399,x3910,x3911,x3912),f528(x392,x393,x394,x395,x396,x397,x398,x399,x3910,x3911,x3912)) % 166.52/166.36 [40]~E(x401,x402)+E(f528(x403,x401,x404,x405,x406,x407,x408,x409,x4010,x4011,x4012),f528(x403,x402,x404,x405,x406,x407,x408,x409,x4010,x4011,x4012)) % 166.52/166.36 [41]~E(x411,x412)+E(f528(x413,x414,x411,x415,x416,x417,x418,x419,x4110,x4111,x4112),f528(x413,x414,x412,x415,x416,x417,x418,x419,x4110,x4111,x4112)) % 166.52/166.36 [42]~E(x421,x422)+E(f528(x423,x424,x425,x421,x426,x427,x428,x429,x4210,x4211,x4212),f528(x423,x424,x425,x422,x426,x427,x428,x429,x4210,x4211,x4212)) % 166.52/166.36 [43]~E(x431,x432)+E(f528(x433,x434,x435,x436,x431,x437,x438,x439,x4310,x4311,x4312),f528(x433,x434,x435,x436,x432,x437,x438,x439,x4310,x4311,x4312)) % 166.52/166.36 [44]~E(x441,x442)+E(f528(x443,x444,x445,x446,x447,x441,x448,x449,x4410,x4411,x4412),f528(x443,x444,x445,x446,x447,x442,x448,x449,x4410,x4411,x4412)) % 166.52/166.36 [45]~E(x451,x452)+E(f528(x453,x454,x455,x456,x457,x458,x451,x459,x4510,x4511,x4512),f528(x453,x454,x455,x456,x457,x458,x452,x459,x4510,x4511,x4512)) % 166.52/166.36 [46]~E(x461,x462)+E(f528(x463,x464,x465,x466,x467,x468,x469,x461,x4610,x4611,x4612),f528(x463,x464,x465,x466,x467,x468,x469,x462,x4610,x4611,x4612)) % 166.52/166.36 [47]~E(x471,x472)+E(f528(x473,x474,x475,x476,x477,x478,x479,x4710,x471,x4711,x4712),f528(x473,x474,x475,x476,x477,x478,x479,x4710,x472,x4711,x4712)) % 166.52/166.36 [48]~E(x481,x482)+E(f528(x483,x484,x485,x486,x487,x488,x489,x4810,x4811,x481,x4812),f528(x483,x484,x485,x486,x487,x488,x489,x4810,x4811,x482,x4812)) % 166.52/166.36 [49]~E(x491,x492)+E(f528(x493,x494,x495,x496,x497,x498,x499,x4910,x4911,x4912,x491),f528(x493,x494,x495,x496,x497,x498,x499,x4910,x4911,x4912,x492)) % 166.52/166.36 [50]~E(x501,x502)+E(f116(x501),f116(x502)) % 166.52/166.36 [51]~E(x511,x512)+E(f331(x511),f331(x512)) % 166.52/166.36 [52]~E(x521,x522)+E(f313(x521,x523,x524),f313(x522,x523,x524)) % 166.52/166.36 [53]~E(x531,x532)+E(f313(x533,x531,x534),f313(x533,x532,x534)) % 166.52/166.36 [54]~E(x541,x542)+E(f313(x543,x544,x541),f313(x543,x544,x542)) % 166.52/166.36 [55]~E(x551,x552)+E(f4(x551),f4(x552)) % 166.52/166.36 [56]~E(x561,x562)+E(f239(x561),f239(x562)) % 166.52/166.36 [57]~E(x571,x572)+E(f909(x571),f909(x572)) % 166.52/166.36 [58]~E(x581,x582)+E(f914(x581),f914(x582)) % 166.52/166.36 [59]~E(x591,x592)+E(f911(x591),f911(x592)) % 166.52/166.36 [60]~E(x601,x602)+E(f912(x601),f912(x602)) % 166.52/166.36 [61]~E(x611,x612)+E(f81(x611),f81(x612)) % 166.52/166.36 [62]~E(x621,x622)+E(f8(x621,x623,x624),f8(x622,x623,x624)) % 166.52/166.36 [63]~E(x631,x632)+E(f8(x633,x631,x634),f8(x633,x632,x634)) % 166.52/166.36 [64]~E(x641,x642)+E(f8(x643,x644,x641),f8(x643,x644,x642)) % 166.52/166.36 [65]~E(x651,x652)+E(f192(x651),f192(x652)) % 166.52/166.36 [66]~E(x661,x662)+E(f82(x661),f82(x662)) % 166.52/166.36 [67]~E(x671,x672)+E(f108(x671),f108(x672)) % 166.52/166.36 [68]~E(x681,x682)+E(f6(x681,x683),f6(x682,x683)) % 166.52/166.36 [69]~E(x691,x692)+E(f6(x693,x691),f6(x693,x692)) % 166.52/166.36 [70]~E(x701,x702)+E(f240(x701),f240(x702)) % 166.52/166.36 [71]~E(x711,x712)+E(f61(x711),f61(x712)) % 166.52/166.36 [72]~E(x721,x722)+E(f257(x721,x723),f257(x722,x723)) % 166.52/166.36 [73]~E(x731,x732)+E(f257(x733,x731),f257(x733,x732)) % 166.52/166.36 [74]~E(x741,x742)+E(f31(x741,x743),f31(x742,x743)) % 166.52/166.36 [75]~E(x751,x752)+E(f31(x753,x751),f31(x753,x752)) % 166.52/166.36 [76]~E(x761,x762)+E(f917(x761,x763),f917(x762,x763)) % 166.52/166.36 [77]~E(x771,x772)+E(f917(x773,x771),f917(x773,x772)) % 166.52/166.36 [78]~E(x781,x782)+E(f308(x781,x783,x784),f308(x782,x783,x784)) % 166.52/166.36 [79]~E(x791,x792)+E(f308(x793,x791,x794),f308(x793,x792,x794)) % 166.52/166.36 [80]~E(x801,x802)+E(f308(x803,x804,x801),f308(x803,x804,x802)) % 166.52/166.36 [81]~E(x811,x812)+E(f154(x811),f154(x812)) % 166.52/166.36 [82]~E(x821,x822)+E(f37(x821),f37(x822)) % 166.52/166.36 [83]~E(x831,x832)+E(f305(x831,x833,x834),f305(x832,x833,x834)) % 166.52/166.36 [84]~E(x841,x842)+E(f305(x843,x841,x844),f305(x843,x842,x844)) % 166.52/166.36 [85]~E(x851,x852)+E(f305(x853,x854,x851),f305(x853,x854,x852)) % 166.52/166.36 [86]~E(x861,x862)+E(f62(x861),f62(x862)) % 166.52/166.36 [87]~E(x871,x872)+E(f167(x871),f167(x872)) % 166.52/166.36 [88]~E(x881,x882)+E(f145(x881,x883,x884,x885),f145(x882,x883,x884,x885)) % 166.52/166.36 [89]~E(x891,x892)+E(f145(x893,x891,x894,x895),f145(x893,x892,x894,x895)) % 166.52/166.36 [90]~E(x901,x902)+E(f145(x903,x904,x901,x905),f145(x903,x904,x902,x905)) % 166.52/166.36 [91]~E(x911,x912)+E(f145(x913,x914,x915,x911),f145(x913,x914,x915,x912)) % 166.52/166.36 [92]~E(x921,x922)+E(f309(x921,x923),f309(x922,x923)) % 166.52/166.36 [93]~E(x931,x932)+E(f309(x933,x931),f309(x933,x932)) % 166.52/166.36 [94]~E(x941,x942)+E(f9(x941,x943),f9(x942,x943)) % 166.52/166.36 [95]~E(x951,x952)+E(f9(x953,x951),f9(x953,x952)) % 166.52/166.36 [96]~E(x961,x962)+E(f852(x961,x963,x964),f852(x962,x963,x964)) % 166.52/166.36 [97]~E(x971,x972)+E(f852(x973,x971,x974),f852(x973,x972,x974)) % 166.52/166.36 [98]~E(x981,x982)+E(f852(x983,x984,x981),f852(x983,x984,x982)) % 166.52/166.36 [99]~E(x991,x992)+E(f292(x991),f292(x992)) % 166.52/166.36 [100]~E(x1001,x1002)+E(f304(x1001,x1003),f304(x1002,x1003)) % 166.52/166.36 [101]~E(x1011,x1012)+E(f304(x1013,x1011),f304(x1013,x1012)) % 166.52/166.36 [102]~E(x1021,x1022)+E(f289(x1021,x1023),f289(x1022,x1023)) % 166.52/166.36 [103]~E(x1031,x1032)+E(f289(x1033,x1031),f289(x1033,x1032)) % 166.52/166.36 [104]~E(x1041,x1042)+E(f378(x1041,x1043,x1044,x1045),f378(x1042,x1043,x1044,x1045)) % 166.52/166.36 [105]~E(x1051,x1052)+E(f378(x1053,x1051,x1054,x1055),f378(x1053,x1052,x1054,x1055)) % 166.52/166.36 [106]~E(x1061,x1062)+E(f378(x1063,x1064,x1061,x1065),f378(x1063,x1064,x1062,x1065)) % 166.52/166.36 [107]~E(x1071,x1072)+E(f378(x1073,x1074,x1075,x1071),f378(x1073,x1074,x1075,x1072)) % 166.52/166.36 [108]~E(x1081,x1082)+E(f83(x1081),f83(x1082)) % 166.52/166.36 [109]~E(x1091,x1092)+E(f160(x1091,x1093),f160(x1092,x1093)) % 166.52/166.36 [110]~E(x1101,x1102)+E(f160(x1103,x1101),f160(x1103,x1102)) % 166.52/166.36 [111]~E(x1111,x1112)+E(f317(x1111,x1113),f317(x1112,x1113)) % 166.52/166.36 [112]~E(x1121,x1122)+E(f317(x1123,x1121),f317(x1123,x1122)) % 166.52/166.36 [113]~E(x1131,x1132)+E(f137(x1131),f137(x1132)) % 166.52/166.36 [114]~E(x1141,x1142)+E(f48(x1141,x1143),f48(x1142,x1143)) % 166.52/166.36 [115]~E(x1151,x1152)+E(f48(x1153,x1151),f48(x1153,x1152)) % 166.52/166.36 [116]~E(x1161,x1162)+E(f175(x1161),f175(x1162)) % 166.52/166.36 [117]~E(x1171,x1172)+E(f336(x1171),f336(x1172)) % 166.52/166.36 [118]~E(x1181,x1182)+E(f50(x1181,x1183),f50(x1182,x1183)) % 166.52/166.36 [119]~E(x1191,x1192)+E(f50(x1193,x1191),f50(x1193,x1192)) % 166.52/166.36 [120]~E(x1201,x1202)+E(f184(x1201,x1203),f184(x1202,x1203)) % 166.52/166.36 [121]~E(x1211,x1212)+E(f184(x1213,x1211),f184(x1213,x1212)) % 166.52/166.36 [122]~E(x1221,x1222)+E(f694(x1221,x1223),f694(x1222,x1223)) % 166.52/166.36 [123]~E(x1231,x1232)+E(f694(x1233,x1231),f694(x1233,x1232)) % 166.52/166.36 [124]~E(x1241,x1242)+E(f36(x1241),f36(x1242)) % 166.52/166.36 [125]~E(x1251,x1252)+E(f247(x1251),f247(x1252)) % 166.52/166.36 [126]~E(x1261,x1262)+E(f249(x1261),f249(x1262)) % 166.52/166.36 [127]~E(x1271,x1272)+E(f49(x1271,x1273),f49(x1272,x1273)) % 166.52/166.36 [128]~E(x1281,x1282)+E(f49(x1283,x1281),f49(x1283,x1282)) % 166.52/166.36 [129]~E(x1291,x1292)+E(f445(x1291,x1293),f445(x1292,x1293)) % 166.52/166.36 [130]~E(x1301,x1302)+E(f445(x1303,x1301),f445(x1303,x1302)) % 166.52/166.36 [131]~E(x1311,x1312)+E(f259(x1311,x1313),f259(x1312,x1313)) % 166.52/166.36 [132]~E(x1321,x1322)+E(f259(x1323,x1321),f259(x1323,x1322)) % 166.52/166.36 [133]~E(x1331,x1332)+E(f13(x1331,x1333),f13(x1332,x1333)) % 166.52/166.36 [134]~E(x1341,x1342)+E(f13(x1343,x1341),f13(x1343,x1342)) % 166.52/166.36 [135]~E(x1351,x1352)+E(f311(x1351),f311(x1352)) % 166.52/166.36 [136]~E(x1361,x1362)+E(f161(x1361,x1363),f161(x1362,x1363)) % 166.52/166.36 [137]~E(x1371,x1372)+E(f161(x1373,x1371),f161(x1373,x1372)) % 166.52/166.36 [138]~E(x1381,x1382)+E(f158(x1381,x1383,x1384),f158(x1382,x1383,x1384)) % 166.52/166.36 [139]~E(x1391,x1392)+E(f158(x1393,x1391,x1394),f158(x1393,x1392,x1394)) % 166.52/166.36 [140]~E(x1401,x1402)+E(f158(x1403,x1404,x1401),f158(x1403,x1404,x1402)) % 166.52/166.36 [141]~E(x1411,x1412)+E(f110(x1411),f110(x1412)) % 166.52/166.36 [142]~E(x1421,x1422)+E(f111(x1421),f111(x1422)) % 166.52/166.36 [143]~E(x1431,x1432)+E(f330(x1431),f330(x1432)) % 166.52/166.36 [144]~E(x1441,x1442)+E(f18(x1441,x1443,x1444),f18(x1442,x1443,x1444)) % 166.52/166.36 [145]~E(x1451,x1452)+E(f18(x1453,x1451,x1454),f18(x1453,x1452,x1454)) % 166.52/166.36 [146]~E(x1461,x1462)+E(f18(x1463,x1464,x1461),f18(x1463,x1464,x1462)) % 166.52/166.36 [147]~E(x1471,x1472)+E(f571(x1471),f571(x1472)) % 166.52/166.36 [148]~E(x1481,x1482)+E(f11(x1481,x1483,x1484),f11(x1482,x1483,x1484)) % 166.52/166.36 [149]~E(x1491,x1492)+E(f11(x1493,x1491,x1494),f11(x1493,x1492,x1494)) % 166.52/166.36 [150]~E(x1501,x1502)+E(f11(x1503,x1504,x1501),f11(x1503,x1504,x1502)) % 166.52/166.36 [151]~E(x1511,x1512)+E(f168(x1511),f168(x1512)) % 166.52/166.36 [152]~E(x1521,x1522)+E(f246(x1521,x1523),f246(x1522,x1523)) % 166.52/166.36 [153]~E(x1531,x1532)+E(f246(x1533,x1531),f246(x1533,x1532)) % 166.52/166.36 [154]~E(x1541,x1542)+E(f320(x1541,x1543),f320(x1542,x1543)) % 166.52/166.36 [155]~E(x1551,x1552)+E(f320(x1553,x1551),f320(x1553,x1552)) % 166.52/166.36 [156]~E(x1561,x1562)+E(f321(x1561,x1563,x1564,x1565),f321(x1562,x1563,x1564,x1565)) % 166.52/166.36 [157]~E(x1571,x1572)+E(f321(x1573,x1571,x1574,x1575),f321(x1573,x1572,x1574,x1575)) % 166.52/166.36 [158]~E(x1581,x1582)+E(f321(x1583,x1584,x1581,x1585),f321(x1583,x1584,x1582,x1585)) % 166.52/166.36 [159]~E(x1591,x1592)+E(f321(x1593,x1594,x1595,x1591),f321(x1593,x1594,x1595,x1592)) % 166.52/166.36 [160]~E(x1601,x1602)+E(f285(x1601),f285(x1602)) % 166.52/166.36 [161]~E(x1611,x1612)+E(f264(x1611,x1613,x1614,x1615),f264(x1612,x1613,x1614,x1615)) % 166.52/166.36 [162]~E(x1621,x1622)+E(f264(x1623,x1621,x1624,x1625),f264(x1623,x1622,x1624,x1625)) % 166.52/166.36 [163]~E(x1631,x1632)+E(f264(x1633,x1634,x1631,x1635),f264(x1633,x1634,x1632,x1635)) % 166.52/166.36 [164]~E(x1641,x1642)+E(f264(x1643,x1644,x1645,x1641),f264(x1643,x1644,x1645,x1642)) % 166.52/166.36 [165]~E(x1651,x1652)+E(f310(x1651),f310(x1652)) % 166.52/166.36 [166]~E(x1661,x1662)+E(f197(x1661),f197(x1662)) % 166.52/166.36 [167]~E(x1671,x1672)+E(f267(x1671),f267(x1672)) % 166.52/166.36 [168]~E(x1681,x1682)+E(f241(x1681,x1683),f241(x1682,x1683)) % 166.52/166.36 [169]~E(x1691,x1692)+E(f241(x1693,x1691),f241(x1693,x1692)) % 166.52/166.36 [170]~E(x1701,x1702)+E(f832(x1701),f832(x1702)) % 166.52/166.36 [171]~E(x1711,x1712)+E(f89(x1711),f89(x1712)) % 166.52/166.36 [172]~E(x1721,x1722)+E(f64(x1721,x1723),f64(x1722,x1723)) % 166.52/166.36 [173]~E(x1731,x1732)+E(f64(x1733,x1731),f64(x1733,x1732)) % 166.52/166.36 [174]~E(x1741,x1742)+E(f46(x1741,x1743,x1744),f46(x1742,x1743,x1744)) % 166.52/166.36 [175]~E(x1751,x1752)+E(f46(x1753,x1751,x1754),f46(x1753,x1752,x1754)) % 166.52/166.36 [176]~E(x1761,x1762)+E(f46(x1763,x1764,x1761),f46(x1763,x1764,x1762)) % 166.52/166.36 [177]~E(x1771,x1772)+E(f170(x1771),f170(x1772)) % 166.52/166.36 [178]~E(x1781,x1782)+E(f16(x1781,x1783),f16(x1782,x1783)) % 166.52/166.36 [179]~E(x1791,x1792)+E(f16(x1793,x1791),f16(x1793,x1792)) % 166.52/166.36 [180]~E(x1801,x1802)+E(f157(x1801,x1803),f157(x1802,x1803)) % 166.52/166.36 [181]~E(x1811,x1812)+E(f157(x1813,x1811),f157(x1813,x1812)) % 166.52/166.36 [182]~E(x1821,x1822)+E(f119(x1821,x1823),f119(x1822,x1823)) % 166.52/166.36 [183]~E(x1831,x1832)+E(f119(x1833,x1831),f119(x1833,x1832)) % 166.52/166.36 [184]~E(x1841,x1842)+E(f39(x1841,x1843),f39(x1842,x1843)) % 166.52/166.36 [185]~E(x1851,x1852)+E(f39(x1853,x1851),f39(x1853,x1852)) % 166.52/166.36 [186]~E(x1861,x1862)+E(f118(x1861),f118(x1862)) % 166.52/166.36 [187]~E(x1871,x1872)+E(f186(x1871,x1873),f186(x1872,x1873)) % 166.52/166.36 [188]~E(x1881,x1882)+E(f186(x1883,x1881),f186(x1883,x1882)) % 166.52/166.36 [189]~E(x1891,x1892)+E(f93(x1891),f93(x1892)) % 166.52/166.36 [190]~E(x1901,x1902)+E(f291(x1901,x1903,x1904),f291(x1902,x1903,x1904)) % 166.52/166.36 [191]~E(x1911,x1912)+E(f291(x1913,x1911,x1914),f291(x1913,x1912,x1914)) % 166.52/166.36 [192]~E(x1921,x1922)+E(f291(x1923,x1924,x1921),f291(x1923,x1924,x1922)) % 166.52/166.36 [193]~E(x1931,x1932)+E(f701(x1931,x1933,x1934,x1935,x1936),f701(x1932,x1933,x1934,x1935,x1936)) % 166.52/166.36 [194]~E(x1941,x1942)+E(f701(x1943,x1941,x1944,x1945,x1946),f701(x1943,x1942,x1944,x1945,x1946)) % 166.52/166.36 [195]~E(x1951,x1952)+E(f701(x1953,x1954,x1951,x1955,x1956),f701(x1953,x1954,x1952,x1955,x1956)) % 166.52/166.36 [196]~E(x1961,x1962)+E(f701(x1963,x1964,x1965,x1961,x1966),f701(x1963,x1964,x1965,x1962,x1966)) % 166.52/166.36 [197]~E(x1971,x1972)+E(f701(x1973,x1974,x1975,x1976,x1971),f701(x1973,x1974,x1975,x1976,x1972)) % 166.52/166.36 [198]~E(x1981,x1982)+E(f256(x1981,x1983),f256(x1982,x1983)) % 166.52/166.36 [199]~E(x1991,x1992)+E(f256(x1993,x1991),f256(x1993,x1992)) % 166.52/166.36 [200]~E(x2001,x2002)+E(f269(x2001,x2003),f269(x2002,x2003)) % 166.52/166.36 [201]~E(x2011,x2012)+E(f269(x2013,x2011),f269(x2013,x2012)) % 166.52/166.36 [202]~E(x2021,x2022)+E(f860(x2021,x2023,x2024),f860(x2022,x2023,x2024)) % 166.52/166.36 [203]~E(x2031,x2032)+E(f860(x2033,x2031,x2034),f860(x2033,x2032,x2034)) % 166.52/166.36 [204]~E(x2041,x2042)+E(f860(x2043,x2044,x2041),f860(x2043,x2044,x2042)) % 166.52/166.36 [205]~E(x2051,x2052)+E(f40(x2051,x2053),f40(x2052,x2053)) % 166.52/166.36 [206]~E(x2061,x2062)+E(f40(x2063,x2061),f40(x2063,x2062)) % 166.52/166.36 [207]~E(x2071,x2072)+E(f182(x2071,x2073),f182(x2072,x2073)) % 166.52/166.36 [208]~E(x2081,x2082)+E(f182(x2083,x2081),f182(x2083,x2082)) % 166.52/166.36 [209]~E(x2091,x2092)+E(f77(x2091),f77(x2092)) % 166.52/166.36 [210]~E(x2101,x2102)+E(f142(x2101,x2103),f142(x2102,x2103)) % 166.52/166.36 [211]~E(x2111,x2112)+E(f142(x2113,x2111),f142(x2113,x2112)) % 166.52/166.36 [212]~E(x2121,x2122)+E(f262(x2121,x2123,x2124),f262(x2122,x2123,x2124)) % 166.52/166.36 [213]~E(x2131,x2132)+E(f262(x2133,x2131,x2134),f262(x2133,x2132,x2134)) % 166.52/166.36 [214]~E(x2141,x2142)+E(f262(x2143,x2144,x2141),f262(x2143,x2144,x2142)) % 166.52/166.36 [215]~E(x2151,x2152)+E(f798(x2151,x2153,x2154),f798(x2152,x2153,x2154)) % 166.52/166.36 [216]~E(x2161,x2162)+E(f798(x2163,x2161,x2164),f798(x2163,x2162,x2164)) % 166.52/166.36 [217]~E(x2171,x2172)+E(f798(x2173,x2174,x2171),f798(x2173,x2174,x2172)) % 166.52/166.36 [218]~E(x2181,x2182)+E(f236(x2181),f236(x2182)) % 166.52/166.36 [219]~E(x2191,x2192)+E(f10(x2191,x2193),f10(x2192,x2193)) % 166.52/166.36 [220]~E(x2201,x2202)+E(f10(x2203,x2201),f10(x2203,x2202)) % 166.52/166.36 [221]~E(x2211,x2212)+E(f162(x2211,x2213),f162(x2212,x2213)) % 166.52/166.36 [222]~E(x2221,x2222)+E(f162(x2223,x2221),f162(x2223,x2222)) % 166.52/166.36 [223]~E(x2231,x2232)+E(f443(x2231,x2233),f443(x2232,x2233)) % 166.52/166.36 [224]~E(x2241,x2242)+E(f443(x2243,x2241),f443(x2243,x2242)) % 166.52/166.36 [225]~E(x2251,x2252)+E(f347(x2251,x2253),f347(x2252,x2253)) % 166.52/166.36 [226]~E(x2261,x2262)+E(f347(x2263,x2261),f347(x2263,x2262)) % 166.52/166.36 [227]~E(x2271,x2272)+E(f159(x2271,x2273,x2274,x2275),f159(x2272,x2273,x2274,x2275)) % 166.52/166.36 [228]~E(x2281,x2282)+E(f159(x2283,x2281,x2284,x2285),f159(x2283,x2282,x2284,x2285)) % 166.52/166.36 [229]~E(x2291,x2292)+E(f159(x2293,x2294,x2291,x2295),f159(x2293,x2294,x2292,x2295)) % 166.52/166.36 [230]~E(x2301,x2302)+E(f159(x2303,x2304,x2305,x2301),f159(x2303,x2304,x2305,x2302)) % 166.52/166.36 [231]~E(x2311,x2312)+E(f467(x2311,x2313,x2314),f467(x2312,x2313,x2314)) % 166.52/166.36 [232]~E(x2321,x2322)+E(f467(x2323,x2321,x2324),f467(x2323,x2322,x2324)) % 166.52/166.36 [233]~E(x2331,x2332)+E(f467(x2333,x2334,x2331),f467(x2333,x2334,x2332)) % 166.52/166.36 [234]~E(x2341,x2342)+E(f178(x2341),f178(x2342)) % 166.52/166.36 [235]~E(x2351,x2352)+E(f74(x2351,x2353,x2354,x2355),f74(x2352,x2353,x2354,x2355)) % 166.52/166.36 [236]~E(x2361,x2362)+E(f74(x2363,x2361,x2364,x2365),f74(x2363,x2362,x2364,x2365)) % 166.52/166.36 [237]~E(x2371,x2372)+E(f74(x2373,x2374,x2371,x2375),f74(x2373,x2374,x2372,x2375)) % 166.52/166.36 [238]~E(x2381,x2382)+E(f74(x2383,x2384,x2385,x2381),f74(x2383,x2384,x2385,x2382)) % 166.52/166.36 [239]~E(x2391,x2392)+E(f140(x2391),f140(x2392)) % 166.52/166.36 [240]~E(x2401,x2402)+E(f29(x2401,x2403,x2404),f29(x2402,x2403,x2404)) % 166.52/166.36 [241]~E(x2411,x2412)+E(f29(x2413,x2411,x2414),f29(x2413,x2412,x2414)) % 166.52/166.36 [242]~E(x2421,x2422)+E(f29(x2423,x2424,x2421),f29(x2423,x2424,x2422)) % 166.52/166.36 [243]~E(x2431,x2432)+E(f607(x2431,x2433,x2434,x2435,x2436),f607(x2432,x2433,x2434,x2435,x2436)) % 166.52/166.36 [244]~E(x2441,x2442)+E(f607(x2443,x2441,x2444,x2445,x2446),f607(x2443,x2442,x2444,x2445,x2446)) % 166.52/166.36 [245]~E(x2451,x2452)+E(f607(x2453,x2454,x2451,x2455,x2456),f607(x2453,x2454,x2452,x2455,x2456)) % 166.52/166.36 [246]~E(x2461,x2462)+E(f607(x2463,x2464,x2465,x2461,x2466),f607(x2463,x2464,x2465,x2462,x2466)) % 166.52/166.36 [247]~E(x2471,x2472)+E(f607(x2473,x2474,x2475,x2476,x2471),f607(x2473,x2474,x2475,x2476,x2472)) % 166.52/166.36 [248]~E(x2481,x2482)+E(f139(x2481,x2483),f139(x2482,x2483)) % 166.52/166.36 [249]~E(x2491,x2492)+E(f139(x2493,x2491),f139(x2493,x2492)) % 166.52/166.36 [250]~E(x2501,x2502)+E(f155(x2501,x2503),f155(x2502,x2503)) % 166.52/166.36 [251]~E(x2511,x2512)+E(f155(x2513,x2511),f155(x2513,x2512)) % 166.52/166.36 [252]~E(x2521,x2522)+E(f76(x2521,x2523,x2524,x2525,x2526),f76(x2522,x2523,x2524,x2525,x2526)) % 166.52/166.36 [253]~E(x2531,x2532)+E(f76(x2533,x2531,x2534,x2535,x2536),f76(x2533,x2532,x2534,x2535,x2536)) % 166.52/166.36 [254]~E(x2541,x2542)+E(f76(x2543,x2544,x2541,x2545,x2546),f76(x2543,x2544,x2542,x2545,x2546)) % 166.52/166.36 [255]~E(x2551,x2552)+E(f76(x2553,x2554,x2555,x2551,x2556),f76(x2553,x2554,x2555,x2552,x2556)) % 166.52/166.36 [256]~E(x2561,x2562)+E(f76(x2563,x2564,x2565,x2566,x2561),f76(x2563,x2564,x2565,x2566,x2562)) % 166.52/166.36 [257]~E(x2571,x2572)+E(f194(x2571),f194(x2572)) % 166.52/166.36 [258]~E(x2581,x2582)+E(f100(x2581,x2583),f100(x2582,x2583)) % 166.52/166.36 [259]~E(x2591,x2592)+E(f100(x2593,x2591),f100(x2593,x2592)) % 166.52/166.36 [260]~E(x2601,x2602)+E(f120(x2601),f120(x2602)) % 166.52/166.36 [261]~E(x2611,x2612)+E(f171(x2611),f171(x2612)) % 166.52/166.36 [262]~E(x2621,x2622)+E(f268(x2621,x2623),f268(x2622,x2623)) % 166.52/166.36 [263]~E(x2631,x2632)+E(f268(x2633,x2631),f268(x2633,x2632)) % 166.52/166.36 [264]~E(x2641,x2642)+E(f248(x2641,x2643,x2644),f248(x2642,x2643,x2644)) % 166.52/166.36 [265]~E(x2651,x2652)+E(f248(x2653,x2651,x2654),f248(x2653,x2652,x2654)) % 166.52/166.36 [266]~E(x2661,x2662)+E(f248(x2663,x2664,x2661),f248(x2663,x2664,x2662)) % 166.52/166.36 [267]~E(x2671,x2672)+E(f916(x2671,x2673),f916(x2672,x2673)) % 166.52/166.36 [268]~E(x2681,x2682)+E(f916(x2683,x2681),f916(x2683,x2682)) % 166.52/166.36 [269]~E(x2691,x2692)+E(f821(x2691,x2693,x2694),f821(x2692,x2693,x2694)) % 166.52/166.36 [270]~E(x2701,x2702)+E(f821(x2703,x2701,x2704),f821(x2703,x2702,x2704)) % 166.52/166.36 [271]~E(x2711,x2712)+E(f821(x2713,x2714,x2711),f821(x2713,x2714,x2712)) % 166.52/166.36 [272]~E(x2721,x2722)+E(f915(x2721,x2723),f915(x2722,x2723)) % 166.52/166.36 [273]~E(x2731,x2732)+E(f915(x2733,x2731),f915(x2733,x2732)) % 166.52/166.36 [274]~E(x2741,x2742)+E(f273(x2741,x2743),f273(x2742,x2743)) % 166.52/166.36 [275]~E(x2751,x2752)+E(f273(x2753,x2751),f273(x2753,x2752)) % 166.52/166.36 [276]~E(x2761,x2762)+E(f151(x2761,x2763,x2764),f151(x2762,x2763,x2764)) % 166.52/166.36 [277]~E(x2771,x2772)+E(f151(x2773,x2771,x2774),f151(x2773,x2772,x2774)) % 166.52/166.36 [278]~E(x2781,x2782)+E(f151(x2783,x2784,x2781),f151(x2783,x2784,x2782)) % 166.52/166.36 [279]~E(x2791,x2792)+E(f32(x2791,x2793),f32(x2792,x2793)) % 166.52/166.36 [280]~E(x2801,x2802)+E(f32(x2803,x2801),f32(x2803,x2802)) % 166.52/166.36 [281]~E(x2811,x2812)+E(f853(x2811,x2813,x2814),f853(x2812,x2813,x2814)) % 166.52/166.36 [282]~E(x2821,x2822)+E(f853(x2823,x2821,x2824),f853(x2823,x2822,x2824)) % 166.52/166.36 [283]~E(x2831,x2832)+E(f853(x2833,x2834,x2831),f853(x2833,x2834,x2832)) % 166.52/166.36 [284]~E(x2841,x2842)+E(f174(x2841),f174(x2842)) % 166.52/166.36 [285]~E(x2851,x2852)+E(f143(x2851,x2853,x2854),f143(x2852,x2853,x2854)) % 166.52/166.36 [286]~E(x2861,x2862)+E(f143(x2863,x2861,x2864),f143(x2863,x2862,x2864)) % 166.52/166.36 [287]~E(x2871,x2872)+E(f143(x2873,x2874,x2871),f143(x2873,x2874,x2872)) % 166.52/166.36 [288]~E(x2881,x2882)+E(f122(x2881,x2883,x2884),f122(x2882,x2883,x2884)) % 166.52/166.36 [289]~E(x2891,x2892)+E(f122(x2893,x2891,x2894),f122(x2893,x2892,x2894)) % 166.52/166.36 [290]~E(x2901,x2902)+E(f122(x2903,x2904,x2901),f122(x2903,x2904,x2902)) % 166.52/166.36 [291]~E(x2911,x2912)+E(f787(x2911,x2913,x2914),f787(x2912,x2913,x2914)) % 166.52/166.36 [292]~E(x2921,x2922)+E(f787(x2923,x2921,x2924),f787(x2923,x2922,x2924)) % 166.52/166.36 [293]~E(x2931,x2932)+E(f787(x2933,x2934,x2931),f787(x2933,x2934,x2932)) % 166.52/166.36 [294]~E(x2941,x2942)+E(f41(x2941,x2943),f41(x2942,x2943)) % 166.52/166.36 [295]~E(x2951,x2952)+E(f41(x2953,x2951),f41(x2953,x2952)) % 166.52/166.36 [296]~E(x2961,x2962)+E(f101(x2961,x2963),f101(x2962,x2963)) % 166.52/166.36 [297]~E(x2971,x2972)+E(f101(x2973,x2971),f101(x2973,x2972)) % 166.52/166.36 [298]~E(x2981,x2982)+E(f290(x2981,x2983),f290(x2982,x2983)) % 166.52/166.36 [299]~E(x2991,x2992)+E(f290(x2993,x2991),f290(x2993,x2992)) % 166.52/166.36 [300]~E(x3001,x3002)+E(f883(x3001),f883(x3002)) % 166.52/166.36 [301]~E(x3011,x3012)+E(f94(x3011,x3013,x3014,x3015),f94(x3012,x3013,x3014,x3015)) % 166.52/166.36 [302]~E(x3021,x3022)+E(f94(x3023,x3021,x3024,x3025),f94(x3023,x3022,x3024,x3025)) % 166.52/166.36 [303]~E(x3031,x3032)+E(f94(x3033,x3034,x3031,x3035),f94(x3033,x3034,x3032,x3035)) % 166.52/166.36 [304]~E(x3041,x3042)+E(f94(x3043,x3044,x3045,x3041),f94(x3043,x3044,x3045,x3042)) % 166.52/166.36 [305]~E(x3051,x3052)+E(f148(x3051,x3053),f148(x3052,x3053)) % 166.52/166.36 [306]~E(x3061,x3062)+E(f148(x3063,x3061),f148(x3063,x3062)) % 166.52/166.36 [307]~E(x3071,x3072)+E(f164(x3071,x3073),f164(x3072,x3073)) % 166.52/166.36 [308]~E(x3081,x3082)+E(f164(x3083,x3081),f164(x3083,x3082)) % 166.52/166.36 [309]~E(x3091,x3092)+E(f261(x3091,x3093),f261(x3092,x3093)) % 166.52/166.36 [310]~E(x3101,x3102)+E(f261(x3103,x3101),f261(x3103,x3102)) % 166.52/166.36 [311]~E(x3111,x3112)+E(f786(x3111,x3113,x3114),f786(x3112,x3113,x3114)) % 166.52/166.36 [312]~E(x3121,x3122)+E(f786(x3123,x3121,x3124),f786(x3123,x3122,x3124)) % 166.52/166.36 [313]~E(x3131,x3132)+E(f786(x3133,x3134,x3131),f786(x3133,x3134,x3132)) % 166.52/166.36 [314]~E(x3141,x3142)+E(f44(x3141),f44(x3142)) % 166.52/166.36 [315]~E(x3151,x3152)+E(f14(x3151,x3153),f14(x3152,x3153)) % 166.52/166.36 [316]~E(x3161,x3162)+E(f14(x3163,x3161),f14(x3163,x3162)) % 166.52/166.36 [317]~E(x3171,x3172)+E(f322(x3171,x3173),f322(x3172,x3173)) % 166.52/166.36 [318]~E(x3181,x3182)+E(f322(x3183,x3181),f322(x3183,x3182)) % 166.52/166.36 [319]~E(x3191,x3192)+E(f881(x3191,x3193,x3194,x3195,x3196),f881(x3192,x3193,x3194,x3195,x3196)) % 166.52/166.36 [320]~E(x3201,x3202)+E(f881(x3203,x3201,x3204,x3205,x3206),f881(x3203,x3202,x3204,x3205,x3206)) % 166.52/166.36 [321]~E(x3211,x3212)+E(f881(x3213,x3214,x3211,x3215,x3216),f881(x3213,x3214,x3212,x3215,x3216)) % 166.52/166.36 [322]~E(x3221,x3222)+E(f881(x3223,x3224,x3225,x3221,x3226),f881(x3223,x3224,x3225,x3222,x3226)) % 166.52/166.36 [323]~E(x3231,x3232)+E(f881(x3233,x3234,x3235,x3236,x3231),f881(x3233,x3234,x3235,x3236,x3232)) % 166.52/166.36 [324]~E(x3241,x3242)+E(f639(x3241,x3243,x3244),f639(x3242,x3243,x3244)) % 166.52/166.36 [325]~E(x3251,x3252)+E(f639(x3253,x3251,x3254),f639(x3253,x3252,x3254)) % 166.52/166.36 [326]~E(x3261,x3262)+E(f639(x3263,x3264,x3261),f639(x3263,x3264,x3262)) % 166.52/166.36 [327]~E(x3271,x3272)+E(f51(x3271,x3273),f51(x3272,x3273)) % 166.52/166.36 [328]~E(x3281,x3282)+E(f51(x3283,x3281),f51(x3283,x3282)) % 166.52/166.36 [329]~E(x3291,x3292)+E(f829(x3291,x3293),f829(x3292,x3293)) % 166.52/166.36 [330]~E(x3301,x3302)+E(f829(x3303,x3301),f829(x3303,x3302)) % 166.52/166.36 [331]~E(x3311,x3312)+E(f216(x3311),f216(x3312)) % 166.52/166.36 [332]~E(x3321,x3322)+E(f38(x3321,x3323),f38(x3322,x3323)) % 166.52/166.36 [333]~E(x3331,x3332)+E(f38(x3333,x3331),f38(x3333,x3332)) % 166.52/166.36 [334]~E(x3341,x3342)+E(f156(x3341,x3343),f156(x3342,x3343)) % 166.52/166.36 [335]~E(x3351,x3352)+E(f156(x3353,x3351),f156(x3353,x3352)) % 166.52/166.36 [336]~E(x3361,x3362)+E(f753(x3361,x3363),f753(x3362,x3363)) % 166.52/166.36 [337]~E(x3371,x3372)+E(f753(x3373,x3371),f753(x3373,x3372)) % 166.52/166.36 [338]~E(x3381,x3382)+E(f504(x3381,x3383,x3384,x3385,x3386,x3387,x3388),f504(x3382,x3383,x3384,x3385,x3386,x3387,x3388)) % 166.52/166.36 [339]~E(x3391,x3392)+E(f504(x3393,x3391,x3394,x3395,x3396,x3397,x3398),f504(x3393,x3392,x3394,x3395,x3396,x3397,x3398)) % 166.52/166.36 [340]~E(x3401,x3402)+E(f504(x3403,x3404,x3401,x3405,x3406,x3407,x3408),f504(x3403,x3404,x3402,x3405,x3406,x3407,x3408)) % 166.52/166.36 [341]~E(x3411,x3412)+E(f504(x3413,x3414,x3415,x3411,x3416,x3417,x3418),f504(x3413,x3414,x3415,x3412,x3416,x3417,x3418)) % 166.52/166.36 [342]~E(x3421,x3422)+E(f504(x3423,x3424,x3425,x3426,x3421,x3427,x3428),f504(x3423,x3424,x3425,x3426,x3422,x3427,x3428)) % 166.52/166.36 [343]~E(x3431,x3432)+E(f504(x3433,x3434,x3435,x3436,x3437,x3431,x3438),f504(x3433,x3434,x3435,x3436,x3437,x3432,x3438)) % 166.52/166.36 [344]~E(x3441,x3442)+E(f504(x3443,x3444,x3445,x3446,x3447,x3448,x3441),f504(x3443,x3444,x3445,x3446,x3447,x3448,x3442)) % 166.52/166.36 [345]~E(x3451,x3452)+E(f712(x3451,x3453,x3454,x3455),f712(x3452,x3453,x3454,x3455)) % 166.52/166.36 [346]~E(x3461,x3462)+E(f712(x3463,x3461,x3464,x3465),f712(x3463,x3462,x3464,x3465)) % 166.52/166.36 [347]~E(x3471,x3472)+E(f712(x3473,x3474,x3471,x3475),f712(x3473,x3474,x3472,x3475)) % 166.52/166.36 [348]~E(x3481,x3482)+E(f712(x3483,x3484,x3485,x3481),f712(x3483,x3484,x3485,x3482)) % 166.52/166.36 [349]~E(x3491,x3492)+E(f480(x3491,x3493,x3494,x3495,x3496),f480(x3492,x3493,x3494,x3495,x3496)) % 166.52/166.36 [350]~E(x3501,x3502)+E(f480(x3503,x3501,x3504,x3505,x3506),f480(x3503,x3502,x3504,x3505,x3506)) % 166.52/166.36 [351]~E(x3511,x3512)+E(f480(x3513,x3514,x3511,x3515,x3516),f480(x3513,x3514,x3512,x3515,x3516)) % 166.52/166.36 [352]~E(x3521,x3522)+E(f480(x3523,x3524,x3525,x3521,x3526),f480(x3523,x3524,x3525,x3522,x3526)) % 166.52/166.36 [353]~E(x3531,x3532)+E(f480(x3533,x3534,x3535,x3536,x3531),f480(x3533,x3534,x3535,x3536,x3532)) % 166.52/166.36 [354]~E(x3541,x3542)+E(f795(x3541,x3543,x3544,x3545),f795(x3542,x3543,x3544,x3545)) % 166.52/166.36 [355]~E(x3551,x3552)+E(f795(x3553,x3551,x3554,x3555),f795(x3553,x3552,x3554,x3555)) % 166.52/166.36 [356]~E(x3561,x3562)+E(f795(x3563,x3564,x3561,x3565),f795(x3563,x3564,x3562,x3565)) % 166.52/166.36 [357]~E(x3571,x3572)+E(f795(x3573,x3574,x3575,x3571),f795(x3573,x3574,x3575,x3572)) % 166.52/166.36 [358]~E(x3581,x3582)+E(f288(x3581,x3583,x3584),f288(x3582,x3583,x3584)) % 166.52/166.36 [359]~E(x3591,x3592)+E(f288(x3593,x3591,x3594),f288(x3593,x3592,x3594)) % 166.52/166.36 [360]~E(x3601,x3602)+E(f288(x3603,x3604,x3601),f288(x3603,x3604,x3602)) % 166.52/166.36 [361]~E(x3611,x3612)+E(f263(x3611,x3613,x3614,x3615,x3616,x3617),f263(x3612,x3613,x3614,x3615,x3616,x3617)) % 166.52/166.36 [362]~E(x3621,x3622)+E(f263(x3623,x3621,x3624,x3625,x3626,x3627),f263(x3623,x3622,x3624,x3625,x3626,x3627)) % 166.52/166.36 [363]~E(x3631,x3632)+E(f263(x3633,x3634,x3631,x3635,x3636,x3637),f263(x3633,x3634,x3632,x3635,x3636,x3637)) % 166.52/166.36 [364]~E(x3641,x3642)+E(f263(x3643,x3644,x3645,x3641,x3646,x3647),f263(x3643,x3644,x3645,x3642,x3646,x3647)) % 166.52/166.36 [365]~E(x3651,x3652)+E(f263(x3653,x3654,x3655,x3656,x3651,x3657),f263(x3653,x3654,x3655,x3656,x3652,x3657)) % 166.52/166.36 [366]~E(x3661,x3662)+E(f263(x3663,x3664,x3665,x3666,x3667,x3661),f263(x3663,x3664,x3665,x3666,x3667,x3662)) % 166.52/166.36 [367]~E(x3671,x3672)+E(f187(x3671,x3673,x3674),f187(x3672,x3673,x3674)) % 166.52/166.36 [368]~E(x3681,x3682)+E(f187(x3683,x3681,x3684),f187(x3683,x3682,x3684)) % 166.52/166.36 [369]~E(x3691,x3692)+E(f187(x3693,x3694,x3691),f187(x3693,x3694,x3692)) % 166.52/166.36 [370]~E(x3701,x3702)+E(f253(x3701,x3703),f253(x3702,x3703)) % 166.52/166.36 [371]~E(x3711,x3712)+E(f253(x3713,x3711),f253(x3713,x3712)) % 166.52/166.36 [372]~E(x3721,x3722)+E(f87(x3721,x3723),f87(x3722,x3723)) % 166.52/166.36 [373]~E(x3731,x3732)+E(f87(x3733,x3731),f87(x3733,x3732)) % 166.52/166.36 [374]~E(x3741,x3742)+E(f850(x3741,x3743,x3744),f850(x3742,x3743,x3744)) % 166.52/166.36 [375]~E(x3751,x3752)+E(f850(x3753,x3751,x3754),f850(x3753,x3752,x3754)) % 166.52/166.36 [376]~E(x3761,x3762)+E(f850(x3763,x3764,x3761),f850(x3763,x3764,x3762)) % 166.52/166.36 [377]~E(x3771,x3772)+E(f92(x3771,x3773),f92(x3772,x3773)) % 166.52/166.36 [378]~E(x3781,x3782)+E(f92(x3783,x3781),f92(x3783,x3782)) % 166.52/166.36 [379]~E(x3791,x3792)+E(f181(x3791,x3793),f181(x3792,x3793)) % 166.52/166.36 [380]~E(x3801,x3802)+E(f181(x3803,x3801),f181(x3803,x3802)) % 166.52/166.36 [381]~E(x3811,x3812)+E(f437(x3811,x3813,x3814,x3815),f437(x3812,x3813,x3814,x3815)) % 166.52/166.36 [382]~E(x3821,x3822)+E(f437(x3823,x3821,x3824,x3825),f437(x3823,x3822,x3824,x3825)) % 166.52/166.36 [383]~E(x3831,x3832)+E(f437(x3833,x3834,x3831,x3835),f437(x3833,x3834,x3832,x3835)) % 166.52/166.36 [384]~E(x3841,x3842)+E(f437(x3843,x3844,x3845,x3841),f437(x3843,x3844,x3845,x3842)) % 166.52/166.36 [385]~E(x3851,x3852)+E(f668(x3851,x3853,x3854),f668(x3852,x3853,x3854)) % 166.52/166.36 [386]~E(x3861,x3862)+E(f668(x3863,x3861,x3864),f668(x3863,x3862,x3864)) % 166.52/166.36 [387]~E(x3871,x3872)+E(f668(x3873,x3874,x3871),f668(x3873,x3874,x3872)) % 166.52/166.36 [388]~E(x3881,x3882)+E(f744(x3881,x3883,x3884),f744(x3882,x3883,x3884)) % 166.52/166.36 [389]~E(x3891,x3892)+E(f744(x3893,x3891,x3894),f744(x3893,x3892,x3894)) % 166.52/166.36 [390]~E(x3901,x3902)+E(f744(x3903,x3904,x3901),f744(x3903,x3904,x3902)) % 166.52/166.36 [391]~E(x3911,x3912)+E(f873(x3911,x3913,x3914,x3915,x3916,x3917),f873(x3912,x3913,x3914,x3915,x3916,x3917)) % 166.52/166.36 [392]~E(x3921,x3922)+E(f873(x3923,x3921,x3924,x3925,x3926,x3927),f873(x3923,x3922,x3924,x3925,x3926,x3927)) % 166.52/166.36 [393]~E(x3931,x3932)+E(f873(x3933,x3934,x3931,x3935,x3936,x3937),f873(x3933,x3934,x3932,x3935,x3936,x3937)) % 166.52/166.36 [394]~E(x3941,x3942)+E(f873(x3943,x3944,x3945,x3941,x3946,x3947),f873(x3943,x3944,x3945,x3942,x3946,x3947)) % 166.52/166.36 [395]~E(x3951,x3952)+E(f873(x3953,x3954,x3955,x3956,x3951,x3957),f873(x3953,x3954,x3955,x3956,x3952,x3957)) % 166.52/166.36 [396]~E(x3961,x3962)+E(f873(x3963,x3964,x3965,x3966,x3967,x3961),f873(x3963,x3964,x3965,x3966,x3967,x3962)) % 166.52/166.36 [397]~E(x3971,x3972)+E(f121(x3971,x3973,x3974),f121(x3972,x3973,x3974)) % 166.52/166.36 [398]~E(x3981,x3982)+E(f121(x3983,x3981,x3984),f121(x3983,x3982,x3984)) % 166.52/166.36 [399]~E(x3991,x3992)+E(f121(x3993,x3994,x3991),f121(x3993,x3994,x3992)) % 166.52/166.36 [400]~E(x4001,x4002)+E(f79(x4001,x4003,x4004,x4005),f79(x4002,x4003,x4004,x4005)) % 166.52/166.36 [401]~E(x4011,x4012)+E(f79(x4013,x4011,x4014,x4015),f79(x4013,x4012,x4014,x4015)) % 166.52/166.36 [402]~E(x4021,x4022)+E(f79(x4023,x4024,x4021,x4025),f79(x4023,x4024,x4022,x4025)) % 166.52/166.36 [403]~E(x4031,x4032)+E(f79(x4033,x4034,x4035,x4031),f79(x4033,x4034,x4035,x4032)) % 166.52/166.36 [404]~E(x4041,x4042)+E(f84(x4041,x4043),f84(x4042,x4043)) % 166.52/166.36 [405]~E(x4051,x4052)+E(f84(x4053,x4051),f84(x4053,x4052)) % 166.52/166.36 [406]~E(x4061,x4062)+E(f815(x4061,x4063,x4064,x4065,x4066,x4067,x4068),f815(x4062,x4063,x4064,x4065,x4066,x4067,x4068)) % 166.52/166.36 [407]~E(x4071,x4072)+E(f815(x4073,x4071,x4074,x4075,x4076,x4077,x4078),f815(x4073,x4072,x4074,x4075,x4076,x4077,x4078)) % 166.52/166.36 [408]~E(x4081,x4082)+E(f815(x4083,x4084,x4081,x4085,x4086,x4087,x4088),f815(x4083,x4084,x4082,x4085,x4086,x4087,x4088)) % 166.52/166.36 [409]~E(x4091,x4092)+E(f815(x4093,x4094,x4095,x4091,x4096,x4097,x4098),f815(x4093,x4094,x4095,x4092,x4096,x4097,x4098)) % 166.52/166.36 [410]~E(x4101,x4102)+E(f815(x4103,x4104,x4105,x4106,x4101,x4107,x4108),f815(x4103,x4104,x4105,x4106,x4102,x4107,x4108)) % 166.52/166.36 [411]~E(x4111,x4112)+E(f815(x4113,x4114,x4115,x4116,x4117,x4111,x4118),f815(x4113,x4114,x4115,x4116,x4117,x4112,x4118)) % 166.52/166.36 [412]~E(x4121,x4122)+E(f815(x4123,x4124,x4125,x4126,x4127,x4128,x4121),f815(x4123,x4124,x4125,x4126,x4127,x4128,x4122)) % 166.52/166.36 [413]~E(x4131,x4132)+E(f66(x4131,x4133,x4134),f66(x4132,x4133,x4134)) % 166.52/166.36 [414]~E(x4141,x4142)+E(f66(x4143,x4141,x4144),f66(x4143,x4142,x4144)) % 166.52/166.36 [415]~E(x4151,x4152)+E(f66(x4153,x4154,x4151),f66(x4153,x4154,x4152)) % 166.52/166.36 [416]~E(x4161,x4162)+E(f15(x4161,x4163),f15(x4162,x4163)) % 166.52/166.36 [417]~E(x4171,x4172)+E(f15(x4173,x4171),f15(x4173,x4172)) % 166.52/166.36 [418]~E(x4181,x4182)+E(f287(x4181,x4183),f287(x4182,x4183)) % 166.52/166.36 [419]~E(x4191,x4192)+E(f287(x4193,x4191),f287(x4193,x4192)) % 166.52/166.36 [420]~E(x4201,x4202)+E(f243(x4201,x4203),f243(x4202,x4203)) % 166.52/166.36 [421]~E(x4211,x4212)+E(f243(x4213,x4211),f243(x4213,x4212)) % 166.52/166.36 [422]~E(x4221,x4222)+E(f124(x4221),f124(x4222)) % 166.52/166.36 [423]~E(x4231,x4232)+E(f779(x4231,x4233,x4234),f779(x4232,x4233,x4234)) % 166.52/166.36 [424]~E(x4241,x4242)+E(f779(x4243,x4241,x4244),f779(x4243,x4242,x4244)) % 166.52/166.36 [425]~E(x4251,x4252)+E(f779(x4253,x4254,x4251),f779(x4253,x4254,x4252)) % 166.52/166.36 [426]~E(x4261,x4262)+E(f863(x4261,x4263,x4264,x4265),f863(x4262,x4263,x4264,x4265)) % 166.52/166.36 [427]~E(x4271,x4272)+E(f863(x4273,x4271,x4274,x4275),f863(x4273,x4272,x4274,x4275)) % 166.52/166.36 [428]~E(x4281,x4282)+E(f863(x4283,x4284,x4281,x4285),f863(x4283,x4284,x4282,x4285)) % 166.52/166.36 [429]~E(x4291,x4292)+E(f863(x4293,x4294,x4295,x4291),f863(x4293,x4294,x4295,x4292)) % 166.52/166.36 [430]~E(x4301,x4302)+E(f363(x4301,x4303,x4304,x4305),f363(x4302,x4303,x4304,x4305)) % 166.52/166.36 [431]~E(x4311,x4312)+E(f363(x4313,x4311,x4314,x4315),f363(x4313,x4312,x4314,x4315)) % 166.52/166.36 [432]~E(x4321,x4322)+E(f363(x4323,x4324,x4321,x4325),f363(x4323,x4324,x4322,x4325)) % 166.52/166.36 [433]~E(x4331,x4332)+E(f363(x4333,x4334,x4335,x4331),f363(x4333,x4334,x4335,x4332)) % 166.52/166.36 [434]~E(x4341,x4342)+E(f775(x4341,x4343,x4344,x4345),f775(x4342,x4343,x4344,x4345)) % 166.52/166.36 [435]~E(x4351,x4352)+E(f775(x4353,x4351,x4354,x4355),f775(x4353,x4352,x4354,x4355)) % 166.52/166.36 [436]~E(x4361,x4362)+E(f775(x4363,x4364,x4361,x4365),f775(x4363,x4364,x4362,x4365)) % 166.52/166.36 [437]~E(x4371,x4372)+E(f775(x4373,x4374,x4375,x4371),f775(x4373,x4374,x4375,x4372)) % 166.52/166.36 [438]~E(x4381,x4382)+E(f849(x4381,x4383,x4384),f849(x4382,x4383,x4384)) % 166.52/166.36 [439]~E(x4391,x4392)+E(f849(x4393,x4391,x4394),f849(x4393,x4392,x4394)) % 166.52/166.36 [440]~E(x4401,x4402)+E(f849(x4403,x4404,x4401),f849(x4403,x4404,x4402)) % 166.52/166.36 [441]~E(x4411,x4412)+E(f745(x4411,x4413,x4414,x4415),f745(x4412,x4413,x4414,x4415)) % 166.52/166.36 [442]~E(x4421,x4422)+E(f745(x4423,x4421,x4424,x4425),f745(x4423,x4422,x4424,x4425)) % 166.52/166.36 [443]~E(x4431,x4432)+E(f745(x4433,x4434,x4431,x4435),f745(x4433,x4434,x4432,x4435)) % 166.52/166.36 [444]~E(x4441,x4442)+E(f745(x4443,x4444,x4445,x4441),f745(x4443,x4444,x4445,x4442)) % 166.52/166.36 [445]~E(x4451,x4452)+E(f880(x4451,x4453,x4454,x4455,x4456),f880(x4452,x4453,x4454,x4455,x4456)) % 166.52/166.36 [446]~E(x4461,x4462)+E(f880(x4463,x4461,x4464,x4465,x4466),f880(x4463,x4462,x4464,x4465,x4466)) % 166.52/166.36 [447]~E(x4471,x4472)+E(f880(x4473,x4474,x4471,x4475,x4476),f880(x4473,x4474,x4472,x4475,x4476)) % 166.52/166.36 [448]~E(x4481,x4482)+E(f880(x4483,x4484,x4485,x4481,x4486),f880(x4483,x4484,x4485,x4482,x4486)) % 166.52/166.36 [449]~E(x4491,x4492)+E(f880(x4493,x4494,x4495,x4496,x4491),f880(x4493,x4494,x4495,x4496,x4492)) % 166.52/166.36 [450]~E(x4501,x4502)+E(f284(x4501),f284(x4502)) % 166.52/166.36 [451]~E(x4511,x4512)+E(f318(x4511,x4513),f318(x4512,x4513)) % 166.52/166.36 [452]~E(x4521,x4522)+E(f318(x4523,x4521),f318(x4523,x4522)) % 166.52/166.36 [453]~E(x4531,x4532)+E(f12(x4531,x4533,x4534),f12(x4532,x4533,x4534)) % 166.52/166.36 [454]~E(x4541,x4542)+E(f12(x4543,x4541,x4544),f12(x4543,x4542,x4544)) % 166.52/166.36 [455]~E(x4551,x4552)+E(f12(x4553,x4554,x4551),f12(x4553,x4554,x4552)) % 166.52/166.36 [456]~E(x4561,x4562)+E(f851(x4561,x4563,x4564),f851(x4562,x4563,x4564)) % 166.52/166.36 [457]~E(x4571,x4572)+E(f851(x4573,x4571,x4574),f851(x4573,x4572,x4574)) % 166.52/166.36 [458]~E(x4581,x4582)+E(f851(x4583,x4584,x4581),f851(x4583,x4584,x4582)) % 166.52/166.36 [459]~E(x4591,x4592)+E(f700(x4591,x4593,x4594),f700(x4592,x4593,x4594)) % 166.52/166.36 [460]~E(x4601,x4602)+E(f700(x4603,x4601,x4604),f700(x4603,x4602,x4604)) % 166.52/166.36 [461]~E(x4611,x4612)+E(f700(x4613,x4614,x4611),f700(x4613,x4614,x4612)) % 166.52/166.36 [462]~E(x4621,x4622)+E(f901(x4621,x4623),f901(x4622,x4623)) % 166.52/166.36 [463]~E(x4631,x4632)+E(f901(x4633,x4631),f901(x4633,x4632)) % 166.52/166.36 [464]~E(x4641,x4642)+E(f126(x4641,x4643,x4644,x4645),f126(x4642,x4643,x4644,x4645)) % 166.52/166.36 [465]~E(x4651,x4652)+E(f126(x4653,x4651,x4654,x4655),f126(x4653,x4652,x4654,x4655)) % 166.52/166.36 [466]~E(x4661,x4662)+E(f126(x4663,x4664,x4661,x4665),f126(x4663,x4664,x4662,x4665)) % 166.52/166.36 [467]~E(x4671,x4672)+E(f126(x4673,x4674,x4675,x4671),f126(x4673,x4674,x4675,x4672)) % 166.52/166.36 [468]~E(x4681,x4682)+E(f65(x4681,x4683,x4684),f65(x4682,x4683,x4684)) % 166.52/166.36 [469]~E(x4691,x4692)+E(f65(x4693,x4691,x4694),f65(x4693,x4692,x4694)) % 166.52/166.36 [470]~E(x4701,x4702)+E(f65(x4703,x4704,x4701),f65(x4703,x4704,x4702)) % 166.52/166.36 [471]~E(x4711,x4712)+E(f675(x4711,x4713,x4714,x4715),f675(x4712,x4713,x4714,x4715)) % 166.52/166.36 [472]~E(x4721,x4722)+E(f675(x4723,x4721,x4724,x4725),f675(x4723,x4722,x4724,x4725)) % 166.52/166.36 [473]~E(x4731,x4732)+E(f675(x4733,x4734,x4731,x4735),f675(x4733,x4734,x4732,x4735)) % 166.52/166.36 [474]~E(x4741,x4742)+E(f675(x4743,x4744,x4745,x4741),f675(x4743,x4744,x4745,x4742)) % 166.52/166.36 [475]~E(x4751,x4752)+E(f820(x4751,x4753,x4754),f820(x4752,x4753,x4754)) % 166.52/166.36 [476]~E(x4761,x4762)+E(f820(x4763,x4761,x4764),f820(x4763,x4762,x4764)) % 166.52/166.36 [477]~E(x4771,x4772)+E(f820(x4773,x4774,x4771),f820(x4773,x4774,x4772)) % 166.52/166.36 [478]~E(x4781,x4782)+E(f858(x4781,x4783,x4784),f858(x4782,x4783,x4784)) % 166.52/166.36 [479]~E(x4791,x4792)+E(f858(x4793,x4791,x4794),f858(x4793,x4792,x4794)) % 166.52/166.36 [480]~E(x4801,x4802)+E(f858(x4803,x4804,x4801),f858(x4803,x4804,x4802)) % 166.52/166.36 [481]~E(x4811,x4812)+E(f479(x4811,x4813,x4814),f479(x4812,x4813,x4814)) % 166.52/166.36 [482]~E(x4821,x4822)+E(f479(x4823,x4821,x4824),f479(x4823,x4822,x4824)) % 166.52/166.36 [483]~E(x4831,x4832)+E(f479(x4833,x4834,x4831),f479(x4833,x4834,x4832)) % 166.52/166.36 [484]~E(x4841,x4842)+E(f695(x4841,x4843),f695(x4842,x4843)) % 166.52/166.36 [485]~E(x4851,x4852)+E(f695(x4853,x4851),f695(x4853,x4852)) % 166.52/166.36 [486]~E(x4861,x4862)+E(f303(x4861),f303(x4862)) % 166.52/166.36 [487]~E(x4871,x4872)+E(f316(x4871),f316(x4872)) % 166.52/166.36 [488]~E(x4881,x4882)+E(f685(x4881,x4883,x4884),f685(x4882,x4883,x4884)) % 166.52/166.36 [489]~E(x4891,x4892)+E(f685(x4893,x4891,x4894),f685(x4893,x4892,x4894)) % 166.52/166.36 [490]~E(x4901,x4902)+E(f685(x4903,x4904,x4901),f685(x4903,x4904,x4902)) % 166.52/166.36 [491]~E(x4911,x4912)+E(f560(x4911,x4913,x4914,x4915),f560(x4912,x4913,x4914,x4915)) % 166.52/166.36 [492]~E(x4921,x4922)+E(f560(x4923,x4921,x4924,x4925),f560(x4923,x4922,x4924,x4925)) % 166.52/166.36 [493]~E(x4931,x4932)+E(f560(x4933,x4934,x4931,x4935),f560(x4933,x4934,x4932,x4935)) % 166.52/166.36 [494]~E(x4941,x4942)+E(f560(x4943,x4944,x4945,x4941),f560(x4943,x4944,x4945,x4942)) % 166.52/166.36 [495]~E(x4951,x4952)+E(f99(x4951),f99(x4952)) % 166.52/166.36 [496]~E(x4961,x4962)+E(f698(x4961,x4963,x4964),f698(x4962,x4963,x4964)) % 166.52/166.36 [497]~E(x4971,x4972)+E(f698(x4973,x4971,x4974),f698(x4973,x4972,x4974)) % 166.52/166.36 [498]~E(x4981,x4982)+E(f698(x4983,x4984,x4981),f698(x4983,x4984,x4982)) % 166.52/166.36 [499]~E(x4991,x4992)+E(f464(x4991,x4993,x4994),f464(x4992,x4993,x4994)) % 166.52/166.36 [500]~E(x5001,x5002)+E(f464(x5003,x5001,x5004),f464(x5003,x5002,x5004)) % 166.52/166.36 [501]~E(x5011,x5012)+E(f464(x5013,x5014,x5011),f464(x5013,x5014,x5012)) % 166.52/166.36 [502]~E(x5021,x5022)+E(f180(x5021,x5023,x5024),f180(x5022,x5023,x5024)) % 166.52/166.36 [503]~E(x5031,x5032)+E(f180(x5033,x5031,x5034),f180(x5033,x5032,x5034)) % 166.52/166.36 [504]~E(x5041,x5042)+E(f180(x5043,x5044,x5041),f180(x5043,x5044,x5042)) % 166.52/166.36 [505]~E(x5051,x5052)+E(f172(x5051,x5053,x5054),f172(x5052,x5053,x5054)) % 166.52/166.36 [506]~E(x5061,x5062)+E(f172(x5063,x5061,x5064),f172(x5063,x5062,x5064)) % 166.52/166.36 [507]~E(x5071,x5072)+E(f172(x5073,x5074,x5071),f172(x5073,x5074,x5072)) % 166.52/166.36 [508]~E(x5081,x5082)+E(f442(x5081,x5083),f442(x5082,x5083)) % 166.52/166.36 [509]~E(x5091,x5092)+E(f442(x5093,x5091),f442(x5093,x5092)) % 166.52/166.36 [510]~E(x5101,x5102)+E(f597(x5101,x5103,x5104,x5105,x5106),f597(x5102,x5103,x5104,x5105,x5106)) % 166.52/166.36 [511]~E(x5111,x5112)+E(f597(x5113,x5111,x5114,x5115,x5116),f597(x5113,x5112,x5114,x5115,x5116)) % 166.52/166.36 [512]~E(x5121,x5122)+E(f597(x5123,x5124,x5121,x5125,x5126),f597(x5123,x5124,x5122,x5125,x5126)) % 166.52/166.36 [513]~E(x5131,x5132)+E(f597(x5133,x5134,x5135,x5131,x5136),f597(x5133,x5134,x5135,x5132,x5136)) % 166.52/166.36 [514]~E(x5141,x5142)+E(f597(x5143,x5144,x5145,x5146,x5141),f597(x5143,x5144,x5145,x5146,x5142)) % 166.52/166.36 [515]~E(x5151,x5152)+E(f306(x5151),f306(x5152)) % 166.52/166.36 [516]~E(x5161,x5162)+E(f357(x5161,x5163,x5164,x5165),f357(x5162,x5163,x5164,x5165)) % 166.52/166.36 [517]~E(x5171,x5172)+E(f357(x5173,x5171,x5174,x5175),f357(x5173,x5172,x5174,x5175)) % 166.52/166.36 [518]~E(x5181,x5182)+E(f357(x5183,x5184,x5181,x5185),f357(x5183,x5184,x5182,x5185)) % 166.52/166.36 [519]~E(x5191,x5192)+E(f357(x5193,x5194,x5195,x5191),f357(x5193,x5194,x5195,x5192)) % 166.52/166.36 [520]~E(x5201,x5202)+E(f676(x5201,x5203,x5204,x5205),f676(x5202,x5203,x5204,x5205)) % 166.52/166.36 [521]~E(x5211,x5212)+E(f676(x5213,x5211,x5214,x5215),f676(x5213,x5212,x5214,x5215)) % 166.52/166.36 [522]~E(x5221,x5222)+E(f676(x5223,x5224,x5221,x5225),f676(x5223,x5224,x5222,x5225)) % 166.52/166.36 [523]~E(x5231,x5232)+E(f676(x5233,x5234,x5235,x5231),f676(x5233,x5234,x5235,x5232)) % 166.52/166.36 [524]~E(x5241,x5242)+E(f653(x5241,x5243,x5244,x5245,x5246,x5247,x5248),f653(x5242,x5243,x5244,x5245,x5246,x5247,x5248)) % 166.52/166.36 [525]~E(x5251,x5252)+E(f653(x5253,x5251,x5254,x5255,x5256,x5257,x5258),f653(x5253,x5252,x5254,x5255,x5256,x5257,x5258)) % 166.52/166.36 [526]~E(x5261,x5262)+E(f653(x5263,x5264,x5261,x5265,x5266,x5267,x5268),f653(x5263,x5264,x5262,x5265,x5266,x5267,x5268)) % 166.52/166.36 [527]~E(x5271,x5272)+E(f653(x5273,x5274,x5275,x5271,x5276,x5277,x5278),f653(x5273,x5274,x5275,x5272,x5276,x5277,x5278)) % 166.52/166.36 [528]~E(x5281,x5282)+E(f653(x5283,x5284,x5285,x5286,x5281,x5287,x5288),f653(x5283,x5284,x5285,x5286,x5282,x5287,x5288)) % 166.52/166.36 [529]~E(x5291,x5292)+E(f653(x5293,x5294,x5295,x5296,x5297,x5291,x5298),f653(x5293,x5294,x5295,x5296,x5297,x5292,x5298)) % 166.52/166.36 [530]~E(x5301,x5302)+E(f653(x5303,x5304,x5305,x5306,x5307,x5308,x5301),f653(x5303,x5304,x5305,x5306,x5307,x5308,x5302)) % 166.52/166.36 [531]~E(x5311,x5312)+E(f286(x5311),f286(x5312)) % 166.52/166.36 [532]~E(x5321,x5322)+E(f621(x5321,x5323,x5324,x5325,x5326),f621(x5322,x5323,x5324,x5325,x5326)) % 166.52/166.36 [533]~E(x5331,x5332)+E(f621(x5333,x5331,x5334,x5335,x5336),f621(x5333,x5332,x5334,x5335,x5336)) % 166.52/166.36 [534]~E(x5341,x5342)+E(f621(x5343,x5344,x5341,x5345,x5346),f621(x5343,x5344,x5342,x5345,x5346)) % 166.52/166.36 [535]~E(x5351,x5352)+E(f621(x5353,x5354,x5355,x5351,x5356),f621(x5353,x5354,x5355,x5352,x5356)) % 166.52/166.36 [536]~E(x5361,x5362)+E(f621(x5363,x5364,x5365,x5366,x5361),f621(x5363,x5364,x5365,x5366,x5362)) % 166.52/166.36 [537]~E(x5371,x5372)+E(f631(x5371,x5373,x5374,x5375,x5376),f631(x5372,x5373,x5374,x5375,x5376)) % 166.52/166.36 [538]~E(x5381,x5382)+E(f631(x5383,x5381,x5384,x5385,x5386),f631(x5383,x5382,x5384,x5385,x5386)) % 166.52/166.36 [539]~E(x5391,x5392)+E(f631(x5393,x5394,x5391,x5395,x5396),f631(x5393,x5394,x5392,x5395,x5396)) % 166.52/166.36 [540]~E(x5401,x5402)+E(f631(x5403,x5404,x5405,x5401,x5406),f631(x5403,x5404,x5405,x5402,x5406)) % 166.52/166.36 [541]~E(x5411,x5412)+E(f631(x5413,x5414,x5415,x5416,x5411),f631(x5413,x5414,x5415,x5416,x5412)) % 166.52/166.36 [542]~E(x5421,x5422)+E(f144(x5421),f144(x5422)) % 166.52/166.36 [543]~E(x5431,x5432)+E(f315(x5431,x5433,x5434,x5435),f315(x5432,x5433,x5434,x5435)) % 166.52/166.36 [544]~E(x5441,x5442)+E(f315(x5443,x5441,x5444,x5445),f315(x5443,x5442,x5444,x5445)) % 166.52/166.36 [545]~E(x5451,x5452)+E(f315(x5453,x5454,x5451,x5455),f315(x5453,x5454,x5452,x5455)) % 166.52/166.36 [546]~E(x5461,x5462)+E(f315(x5463,x5464,x5465,x5461),f315(x5463,x5464,x5465,x5462)) % 166.52/166.36 [547]~E(x5471,x5472)+E(f400(x5471,x5473,x5474,x5475,x5476),f400(x5472,x5473,x5474,x5475,x5476)) % 166.52/166.36 [548]~E(x5481,x5482)+E(f400(x5483,x5481,x5484,x5485,x5486),f400(x5483,x5482,x5484,x5485,x5486)) % 166.52/166.36 [549]~E(x5491,x5492)+E(f400(x5493,x5494,x5491,x5495,x5496),f400(x5493,x5494,x5492,x5495,x5496)) % 166.52/166.36 [550]~E(x5501,x5502)+E(f400(x5503,x5504,x5505,x5501,x5506),f400(x5503,x5504,x5505,x5502,x5506)) % 166.52/166.36 [551]~E(x5511,x5512)+E(f400(x5513,x5514,x5515,x5516,x5511),f400(x5513,x5514,x5515,x5516,x5512)) % 166.52/166.36 [552]~E(x5521,x5522)+E(f879(x5521,x5523),f879(x5522,x5523)) % 166.52/166.36 [553]~E(x5531,x5532)+E(f879(x5533,x5531),f879(x5533,x5532)) % 166.52/166.36 [554]~E(x5541,x5542)+E(f660(x5541,x5543,x5544),f660(x5542,x5543,x5544)) % 166.52/166.36 [555]~E(x5551,x5552)+E(f660(x5553,x5551,x5554),f660(x5553,x5552,x5554)) % 166.52/166.36 [556]~E(x5561,x5562)+E(f660(x5563,x5564,x5561),f660(x5563,x5564,x5562)) % 166.52/166.36 [557]~E(x5571,x5572)+E(f684(x5571,x5573,x5574,x5575),f684(x5572,x5573,x5574,x5575)) % 166.52/166.36 [558]~E(x5581,x5582)+E(f684(x5583,x5581,x5584,x5585),f684(x5583,x5582,x5584,x5585)) % 166.52/166.36 [559]~E(x5591,x5592)+E(f684(x5593,x5594,x5591,x5595),f684(x5593,x5594,x5592,x5595)) % 166.52/166.36 [560]~E(x5601,x5602)+E(f684(x5603,x5604,x5605,x5601),f684(x5603,x5604,x5605,x5602)) % 166.52/166.36 [561]~E(x5611,x5612)+E(f141(x5611),f141(x5612)) % 166.52/166.36 [562]~E(x5621,x5622)+E(f219(x5621,x5623),f219(x5622,x5623)) % 166.52/166.36 [563]~E(x5631,x5632)+E(f219(x5633,x5631),f219(x5633,x5632)) % 166.52/166.36 [564]~E(x5641,x5642)+E(f436(x5641,x5643,x5644,x5645),f436(x5642,x5643,x5644,x5645)) % 166.52/166.36 [565]~E(x5651,x5652)+E(f436(x5653,x5651,x5654,x5655),f436(x5653,x5652,x5654,x5655)) % 166.52/166.36 [566]~E(x5661,x5662)+E(f436(x5663,x5664,x5661,x5665),f436(x5663,x5664,x5662,x5665)) % 166.52/166.36 [567]~E(x5671,x5672)+E(f436(x5673,x5674,x5675,x5671),f436(x5673,x5674,x5675,x5672)) % 166.52/166.36 [568]~E(x5681,x5682)+E(f189(x5681),f189(x5682)) % 166.52/166.36 [569]~E(x5691,x5692)+E(f95(x5691,x5693,x5694),f95(x5692,x5693,x5694)) % 166.52/166.36 [570]~E(x5701,x5702)+E(f95(x5703,x5701,x5704),f95(x5703,x5702,x5704)) % 166.52/166.36 [571]~E(x5711,x5712)+E(f95(x5713,x5714,x5711),f95(x5713,x5714,x5712)) % 166.52/166.36 [572]~E(x5721,x5722)+E(f129(x5721,x5723),f129(x5722,x5723)) % 166.52/166.36 [573]~E(x5731,x5732)+E(f129(x5733,x5731),f129(x5733,x5732)) % 166.52/166.36 [574]~E(x5741,x5742)+E(f778(x5741,x5743,x5744),f778(x5742,x5743,x5744)) % 166.52/166.36 [575]~E(x5751,x5752)+E(f778(x5753,x5751,x5754),f778(x5753,x5752,x5754)) % 166.52/166.36 [576]~E(x5761,x5762)+E(f778(x5763,x5764,x5761),f778(x5763,x5764,x5762)) % 166.52/166.36 [577]~E(x5771,x5772)+E(f822(x5771,x5773,x5774,x5775),f822(x5772,x5773,x5774,x5775)) % 166.52/166.36 [578]~E(x5781,x5782)+E(f822(x5783,x5781,x5784,x5785),f822(x5783,x5782,x5784,x5785)) % 166.52/166.36 [579]~E(x5791,x5792)+E(f822(x5793,x5794,x5791,x5795),f822(x5793,x5794,x5792,x5795)) % 166.52/166.36 [580]~E(x5801,x5802)+E(f822(x5803,x5804,x5805,x5801),f822(x5803,x5804,x5805,x5802)) % 166.52/166.36 [581]~E(x5811,x5812)+E(f54(x5811,x5813),f54(x5812,x5813)) % 166.52/166.36 [582]~E(x5821,x5822)+E(f54(x5823,x5821),f54(x5823,x5822)) % 166.52/166.36 [583]~E(x5831,x5832)+E(f444(x5831,x5833),f444(x5832,x5833)) % 166.52/166.36 [584]~E(x5841,x5842)+E(f444(x5843,x5841),f444(x5843,x5842)) % 166.52/166.36 [585]~E(x5851,x5852)+E(f383(x5851,x5853,x5854,x5855),f383(x5852,x5853,x5854,x5855)) % 166.52/166.36 [586]~E(x5861,x5862)+E(f383(x5863,x5861,x5864,x5865),f383(x5863,x5862,x5864,x5865)) % 166.52/166.36 [587]~E(x5871,x5872)+E(f383(x5873,x5874,x5871,x5875),f383(x5873,x5874,x5872,x5875)) % 166.52/166.36 [588]~E(x5881,x5882)+E(f383(x5883,x5884,x5885,x5881),f383(x5883,x5884,x5885,x5882)) % 166.52/166.36 [589]~E(x5891,x5892)+E(f554(x5891,x5893,x5894,x5895,x5896,x5897),f554(x5892,x5893,x5894,x5895,x5896,x5897)) % 166.52/166.36 [590]~E(x5901,x5902)+E(f554(x5903,x5901,x5904,x5905,x5906,x5907),f554(x5903,x5902,x5904,x5905,x5906,x5907)) % 166.52/166.36 [591]~E(x5911,x5912)+E(f554(x5913,x5914,x5911,x5915,x5916,x5917),f554(x5913,x5914,x5912,x5915,x5916,x5917)) % 166.52/166.36 [592]~E(x5921,x5922)+E(f554(x5923,x5924,x5925,x5921,x5926,x5927),f554(x5923,x5924,x5925,x5922,x5926,x5927)) % 166.52/166.36 [593]~E(x5931,x5932)+E(f554(x5933,x5934,x5935,x5936,x5931,x5937),f554(x5933,x5934,x5935,x5936,x5932,x5937)) % 166.52/166.36 [594]~E(x5941,x5942)+E(f554(x5943,x5944,x5945,x5946,x5947,x5941),f554(x5943,x5944,x5945,x5946,x5947,x5942)) % 166.52/166.36 [595]~E(x5951,x5952)+E(f258(x5951,x5953,x5954,x5955,x5956),f258(x5952,x5953,x5954,x5955,x5956)) % 166.52/166.36 [596]~E(x5961,x5962)+E(f258(x5963,x5961,x5964,x5965,x5966),f258(x5963,x5962,x5964,x5965,x5966)) % 166.52/166.36 [597]~E(x5971,x5972)+E(f258(x5973,x5974,x5971,x5975,x5976),f258(x5973,x5974,x5972,x5975,x5976)) % 166.52/166.36 [598]~E(x5981,x5982)+E(f258(x5983,x5984,x5985,x5981,x5986),f258(x5983,x5984,x5985,x5982,x5986)) % 166.52/166.37 [599]~E(x5991,x5992)+E(f258(x5993,x5994,x5995,x5996,x5991),f258(x5993,x5994,x5995,x5996,x5992)) % 166.52/166.37 [600]~E(x6001,x6002)+E(f818(x6001,x6003),f818(x6002,x6003)) % 166.52/166.37 [601]~E(x6011,x6012)+E(f818(x6013,x6011),f818(x6013,x6012)) % 166.52/166.37 [602]~E(x6021,x6022)+E(f543(x6021,x6023,x6024,x6025,x6026),f543(x6022,x6023,x6024,x6025,x6026)) % 166.52/166.37 [603]~E(x6031,x6032)+E(f543(x6033,x6031,x6034,x6035,x6036),f543(x6033,x6032,x6034,x6035,x6036)) % 166.52/166.37 [604]~E(x6041,x6042)+E(f543(x6043,x6044,x6041,x6045,x6046),f543(x6043,x6044,x6042,x6045,x6046)) % 166.52/166.37 [605]~E(x6051,x6052)+E(f543(x6053,x6054,x6055,x6051,x6056),f543(x6053,x6054,x6055,x6052,x6056)) % 166.52/166.37 [606]~E(x6061,x6062)+E(f543(x6063,x6064,x6065,x6066,x6061),f543(x6063,x6064,x6065,x6066,x6062)) % 166.52/166.37 [607]~E(x6071,x6072)+E(f608(x6071,x6073,x6074,x6075,x6076),f608(x6072,x6073,x6074,x6075,x6076)) % 166.52/166.37 [608]~E(x6081,x6082)+E(f608(x6083,x6081,x6084,x6085,x6086),f608(x6083,x6082,x6084,x6085,x6086)) % 166.52/166.37 [609]~E(x6091,x6092)+E(f608(x6093,x6094,x6091,x6095,x6096),f608(x6093,x6094,x6092,x6095,x6096)) % 166.52/166.37 [610]~E(x6101,x6102)+E(f608(x6103,x6104,x6105,x6101,x6106),f608(x6103,x6104,x6105,x6102,x6106)) % 166.52/166.37 [611]~E(x6111,x6112)+E(f608(x6113,x6114,x6115,x6116,x6111),f608(x6113,x6114,x6115,x6116,x6112)) % 166.52/166.37 [612]~E(x6121,x6122)+E(f889(x6121,x6123,x6124),f889(x6122,x6123,x6124)) % 166.52/166.37 [613]~E(x6131,x6132)+E(f889(x6133,x6131,x6134),f889(x6133,x6132,x6134)) % 166.52/166.37 [614]~E(x6141,x6142)+E(f889(x6143,x6144,x6141),f889(x6143,x6144,x6142)) % 166.52/166.37 [615]~E(x6151,x6152)+E(f594(x6151,x6153,x6154,x6155,x6156,x6157,x6158,x6159),f594(x6152,x6153,x6154,x6155,x6156,x6157,x6158,x6159)) % 166.52/166.37 [616]~E(x6161,x6162)+E(f594(x6163,x6161,x6164,x6165,x6166,x6167,x6168,x6169),f594(x6163,x6162,x6164,x6165,x6166,x6167,x6168,x6169)) % 166.52/166.37 [617]~E(x6171,x6172)+E(f594(x6173,x6174,x6171,x6175,x6176,x6177,x6178,x6179),f594(x6173,x6174,x6172,x6175,x6176,x6177,x6178,x6179)) % 166.52/166.37 [618]~E(x6181,x6182)+E(f594(x6183,x6184,x6185,x6181,x6186,x6187,x6188,x6189),f594(x6183,x6184,x6185,x6182,x6186,x6187,x6188,x6189)) % 166.52/166.37 [619]~E(x6191,x6192)+E(f594(x6193,x6194,x6195,x6196,x6191,x6197,x6198,x6199),f594(x6193,x6194,x6195,x6196,x6192,x6197,x6198,x6199)) % 166.52/166.37 [620]~E(x6201,x6202)+E(f594(x6203,x6204,x6205,x6206,x6207,x6201,x6208,x6209),f594(x6203,x6204,x6205,x6206,x6207,x6202,x6208,x6209)) % 166.52/166.37 [621]~E(x6211,x6212)+E(f594(x6213,x6214,x6215,x6216,x6217,x6218,x6211,x6219),f594(x6213,x6214,x6215,x6216,x6217,x6218,x6212,x6219)) % 166.52/166.37 [622]~E(x6221,x6222)+E(f594(x6223,x6224,x6225,x6226,x6227,x6228,x6229,x6221),f594(x6223,x6224,x6225,x6226,x6227,x6228,x6229,x6222)) % 166.52/166.37 [623]~E(x6231,x6232)+E(f640(x6231,x6233,x6234),f640(x6232,x6233,x6234)) % 166.52/166.37 [624]~E(x6241,x6242)+E(f640(x6243,x6241,x6244),f640(x6243,x6242,x6244)) % 166.52/166.37 [625]~E(x6251,x6252)+E(f640(x6253,x6254,x6251),f640(x6253,x6254,x6252)) % 166.52/166.37 [626]~E(x6261,x6262)+E(f603(x6261,x6263,x6264),f603(x6262,x6263,x6264)) % 166.52/166.37 [627]~E(x6271,x6272)+E(f603(x6273,x6271,x6274),f603(x6273,x6272,x6274)) % 166.52/166.37 [628]~E(x6281,x6282)+E(f603(x6283,x6284,x6281),f603(x6283,x6284,x6282)) % 166.52/166.37 [629]~E(x6291,x6292)+E(f132(x6291,x6293),f132(x6292,x6293)) % 166.52/166.37 [630]~E(x6301,x6302)+E(f132(x6303,x6301),f132(x6303,x6302)) % 166.52/166.37 [631]~E(x6311,x6312)+E(f658(x6311,x6313,x6314),f658(x6312,x6313,x6314)) % 166.52/166.37 [632]~E(x6321,x6322)+E(f658(x6323,x6321,x6324),f658(x6323,x6322,x6324)) % 166.52/166.37 [633]~E(x6331,x6332)+E(f658(x6333,x6334,x6331),f658(x6333,x6334,x6332)) % 166.52/166.37 [634]~E(x6341,x6342)+E(f831(x6341),f831(x6342)) % 166.52/166.37 [635]~E(x6351,x6352)+E(f114(x6351),f114(x6352)) % 166.52/166.37 [636]~E(x6361,x6362)+E(f526(x6361,x6363,x6364,x6365,x6366,x6367),f526(x6362,x6363,x6364,x6365,x6366,x6367)) % 166.52/166.37 [637]~E(x6371,x6372)+E(f526(x6373,x6371,x6374,x6375,x6376,x6377),f526(x6373,x6372,x6374,x6375,x6376,x6377)) % 166.52/166.37 [638]~E(x6381,x6382)+E(f526(x6383,x6384,x6381,x6385,x6386,x6387),f526(x6383,x6384,x6382,x6385,x6386,x6387)) % 166.52/166.37 [639]~E(x6391,x6392)+E(f526(x6393,x6394,x6395,x6391,x6396,x6397),f526(x6393,x6394,x6395,x6392,x6396,x6397)) % 166.52/166.37 [640]~E(x6401,x6402)+E(f526(x6403,x6404,x6405,x6406,x6401,x6407),f526(x6403,x6404,x6405,x6406,x6402,x6407)) % 166.52/166.37 [641]~E(x6411,x6412)+E(f526(x6413,x6414,x6415,x6416,x6417,x6411),f526(x6413,x6414,x6415,x6416,x6417,x6412)) % 166.52/166.37 [642]~E(x6421,x6422)+E(f591(x6421,x6423,x6424,x6425),f591(x6422,x6423,x6424,x6425)) % 166.52/166.37 [643]~E(x6431,x6432)+E(f591(x6433,x6431,x6434,x6435),f591(x6433,x6432,x6434,x6435)) % 166.52/166.37 [644]~E(x6441,x6442)+E(f591(x6443,x6444,x6441,x6445),f591(x6443,x6444,x6442,x6445)) % 166.52/166.37 [645]~E(x6451,x6452)+E(f591(x6453,x6454,x6455,x6451),f591(x6453,x6454,x6455,x6452)) % 166.52/166.37 [646]~E(x6461,x6462)+E(f682(x6461,x6463,x6464),f682(x6462,x6463,x6464)) % 166.52/166.37 [647]~E(x6471,x6472)+E(f682(x6473,x6471,x6474),f682(x6473,x6472,x6474)) % 166.52/166.37 [648]~E(x6481,x6482)+E(f682(x6483,x6484,x6481),f682(x6483,x6484,x6482)) % 166.52/166.37 [649]~E(x6491,x6492)+E(f656(x6491,x6493,x6494,x6495),f656(x6492,x6493,x6494,x6495)) % 166.52/166.37 [650]~E(x6501,x6502)+E(f656(x6503,x6501,x6504,x6505),f656(x6503,x6502,x6504,x6505)) % 166.52/166.37 [651]~E(x6511,x6512)+E(f656(x6513,x6514,x6511,x6515),f656(x6513,x6514,x6512,x6515)) % 166.52/166.37 [652]~E(x6521,x6522)+E(f656(x6523,x6524,x6525,x6521),f656(x6523,x6524,x6525,x6522)) % 166.52/166.37 [653]~E(x6531,x6532)+E(f283(x6531,x6533,x6534,x6535),f283(x6532,x6533,x6534,x6535)) % 166.52/166.37 [654]~E(x6541,x6542)+E(f283(x6543,x6541,x6544,x6545),f283(x6543,x6542,x6544,x6545)) % 166.52/166.37 [655]~E(x6551,x6552)+E(f283(x6553,x6554,x6551,x6555),f283(x6553,x6554,x6552,x6555)) % 166.52/166.37 [656]~E(x6561,x6562)+E(f283(x6563,x6564,x6565,x6561),f283(x6563,x6564,x6565,x6562)) % 166.52/166.37 [657]~E(x6571,x6572)+E(f153(x6571,x6573,x6574,x6575),f153(x6572,x6573,x6574,x6575)) % 166.52/166.37 [658]~E(x6581,x6582)+E(f153(x6583,x6581,x6584,x6585),f153(x6583,x6582,x6584,x6585)) % 166.52/166.37 [659]~E(x6591,x6592)+E(f153(x6593,x6594,x6591,x6595),f153(x6593,x6594,x6592,x6595)) % 166.52/166.37 [660]~E(x6601,x6602)+E(f153(x6603,x6604,x6605,x6601),f153(x6603,x6604,x6605,x6602)) % 166.52/166.37 [661]~E(x6611,x6612)+E(f719(x6611,x6613,x6614,x6615,x6616),f719(x6612,x6613,x6614,x6615,x6616)) % 166.52/166.37 [662]~E(x6621,x6622)+E(f719(x6623,x6621,x6624,x6625,x6626),f719(x6623,x6622,x6624,x6625,x6626)) % 166.52/166.37 [663]~E(x6631,x6632)+E(f719(x6633,x6634,x6631,x6635,x6636),f719(x6633,x6634,x6632,x6635,x6636)) % 166.52/166.37 [664]~E(x6641,x6642)+E(f719(x6643,x6644,x6645,x6641,x6646),f719(x6643,x6644,x6645,x6642,x6646)) % 166.52/166.37 [665]~E(x6651,x6652)+E(f719(x6653,x6654,x6655,x6656,x6651),f719(x6653,x6654,x6655,x6656,x6652)) % 166.52/166.37 [666]~E(x6661,x6662)+E(f611(x6661,x6663),f611(x6662,x6663)) % 166.52/166.37 [667]~E(x6671,x6672)+E(f611(x6673,x6671),f611(x6673,x6672)) % 166.52/166.37 [668]~E(x6681,x6682)+E(f892(x6681,x6683),f892(x6682,x6683)) % 166.52/166.37 [669]~E(x6691,x6692)+E(f892(x6693,x6691),f892(x6693,x6692)) % 166.52/166.37 [670]~E(x6701,x6702)+E(f875(x6701,x6703,x6704,x6705,x6706,x6707),f875(x6702,x6703,x6704,x6705,x6706,x6707)) % 166.52/166.37 [671]~E(x6711,x6712)+E(f875(x6713,x6711,x6714,x6715,x6716,x6717),f875(x6713,x6712,x6714,x6715,x6716,x6717)) % 166.52/166.37 [672]~E(x6721,x6722)+E(f875(x6723,x6724,x6721,x6725,x6726,x6727),f875(x6723,x6724,x6722,x6725,x6726,x6727)) % 166.52/166.37 [673]~E(x6731,x6732)+E(f875(x6733,x6734,x6735,x6731,x6736,x6737),f875(x6733,x6734,x6735,x6732,x6736,x6737)) % 166.52/166.37 [674]~E(x6741,x6742)+E(f875(x6743,x6744,x6745,x6746,x6741,x6747),f875(x6743,x6744,x6745,x6746,x6742,x6747)) % 166.52/166.37 [675]~E(x6751,x6752)+E(f875(x6753,x6754,x6755,x6756,x6757,x6751),f875(x6753,x6754,x6755,x6756,x6757,x6752)) % 166.52/166.37 [676]~E(x6761,x6762)+E(f299(x6761,x6763,x6764,x6765,x6766),f299(x6762,x6763,x6764,x6765,x6766)) % 166.52/166.37 [677]~E(x6771,x6772)+E(f299(x6773,x6771,x6774,x6775,x6776),f299(x6773,x6772,x6774,x6775,x6776)) % 166.52/166.37 [678]~E(x6781,x6782)+E(f299(x6783,x6784,x6781,x6785,x6786),f299(x6783,x6784,x6782,x6785,x6786)) % 166.52/166.37 [679]~E(x6791,x6792)+E(f299(x6793,x6794,x6795,x6791,x6796),f299(x6793,x6794,x6795,x6792,x6796)) % 166.52/166.37 [680]~E(x6801,x6802)+E(f299(x6803,x6804,x6805,x6806,x6801),f299(x6803,x6804,x6805,x6806,x6802)) % 166.52/166.37 [681]~E(x6811,x6812)+E(f451(x6811,x6813,x6814),f451(x6812,x6813,x6814)) % 166.52/166.37 [682]~E(x6821,x6822)+E(f451(x6823,x6821,x6824),f451(x6823,x6822,x6824)) % 166.52/166.37 [683]~E(x6831,x6832)+E(f451(x6833,x6834,x6831),f451(x6833,x6834,x6832)) % 166.52/166.37 [684]~E(x6841,x6842)+E(f506(x6841,x6843),f506(x6842,x6843)) % 166.52/166.37 [685]~E(x6851,x6852)+E(f506(x6853,x6851),f506(x6853,x6852)) % 166.52/166.37 [686]~E(x6861,x6862)+E(f380(x6861,x6863,x6864,x6865),f380(x6862,x6863,x6864,x6865)) % 166.52/166.37 [687]~E(x6871,x6872)+E(f380(x6873,x6871,x6874,x6875),f380(x6873,x6872,x6874,x6875)) % 166.52/166.37 [688]~E(x6881,x6882)+E(f380(x6883,x6884,x6881,x6885),f380(x6883,x6884,x6882,x6885)) % 166.52/166.37 [689]~E(x6891,x6892)+E(f380(x6893,x6894,x6895,x6891),f380(x6893,x6894,x6895,x6892)) % 166.52/166.37 [690]~E(x6901,x6902)+E(f152(x6901,x6903,x6904,x6905,x6906),f152(x6902,x6903,x6904,x6905,x6906)) % 166.52/166.37 [691]~E(x6911,x6912)+E(f152(x6913,x6911,x6914,x6915,x6916),f152(x6913,x6912,x6914,x6915,x6916)) % 166.52/166.37 [692]~E(x6921,x6922)+E(f152(x6923,x6924,x6921,x6925,x6926),f152(x6923,x6924,x6922,x6925,x6926)) % 166.52/166.37 [693]~E(x6931,x6932)+E(f152(x6933,x6934,x6935,x6931,x6936),f152(x6933,x6934,x6935,x6932,x6936)) % 166.52/166.37 [694]~E(x6941,x6942)+E(f152(x6943,x6944,x6945,x6946,x6941),f152(x6943,x6944,x6945,x6946,x6942)) % 166.52/166.37 [695]~E(x6951,x6952)+E(f254(x6951,x6953,x6954),f254(x6952,x6953,x6954)) % 166.52/166.37 [696]~E(x6961,x6962)+E(f254(x6963,x6961,x6964),f254(x6963,x6962,x6964)) % 166.52/166.37 [697]~E(x6971,x6972)+E(f254(x6973,x6974,x6971),f254(x6973,x6974,x6972)) % 166.52/166.37 [698]~E(x6981,x6982)+E(f513(x6981,x6983,x6984),f513(x6982,x6983,x6984)) % 166.52/166.37 [699]~E(x6991,x6992)+E(f513(x6993,x6991,x6994),f513(x6993,x6992,x6994)) % 166.52/166.37 [700]~E(x7001,x7002)+E(f513(x7003,x7004,x7001),f513(x7003,x7004,x7002)) % 166.52/166.37 [701]~E(x7011,x7012)+E(f796(x7011,x7013,x7014,x7015),f796(x7012,x7013,x7014,x7015)) % 166.52/166.37 [702]~E(x7021,x7022)+E(f796(x7023,x7021,x7024,x7025),f796(x7023,x7022,x7024,x7025)) % 166.52/166.37 [703]~E(x7031,x7032)+E(f796(x7033,x7034,x7031,x7035),f796(x7033,x7034,x7032,x7035)) % 166.52/166.37 [704]~E(x7041,x7042)+E(f796(x7043,x7044,x7045,x7041),f796(x7043,x7044,x7045,x7042)) % 166.52/166.37 [705]~E(x7051,x7052)+E(f783(x7051,x7053,x7054),f783(x7052,x7053,x7054)) % 166.52/166.37 [706]~E(x7061,x7062)+E(f783(x7063,x7061,x7064),f783(x7063,x7062,x7064)) % 166.52/166.37 [707]~E(x7071,x7072)+E(f783(x7073,x7074,x7071),f783(x7073,x7074,x7072)) % 166.52/166.37 [708]~E(x7081,x7082)+E(f419(x7081,x7083,x7084,x7085),f419(x7082,x7083,x7084,x7085)) % 166.52/166.37 [709]~E(x7091,x7092)+E(f419(x7093,x7091,x7094,x7095),f419(x7093,x7092,x7094,x7095)) % 166.52/166.37 [710]~E(x7101,x7102)+E(f419(x7103,x7104,x7101,x7105),f419(x7103,x7104,x7102,x7105)) % 166.52/166.37 [711]~E(x7111,x7112)+E(f419(x7113,x7114,x7115,x7111),f419(x7113,x7114,x7115,x7112)) % 166.52/166.37 [712]~E(x7121,x7122)+E(f58(x7121),f58(x7122)) % 166.52/166.37 [713]~E(x7131,x7132)+E(f88(x7131,x7133),f88(x7132,x7133)) % 166.52/166.37 [714]~E(x7141,x7142)+E(f88(x7143,x7141),f88(x7143,x7142)) % 166.52/166.37 [715]~E(x7151,x7152)+E(f716(x7151,x7153,x7154,x7155,x7156),f716(x7152,x7153,x7154,x7155,x7156)) % 166.52/166.37 [716]~E(x7161,x7162)+E(f716(x7163,x7161,x7164,x7165,x7166),f716(x7163,x7162,x7164,x7165,x7166)) % 166.52/166.37 [717]~E(x7171,x7172)+E(f716(x7173,x7174,x7171,x7175,x7176),f716(x7173,x7174,x7172,x7175,x7176)) % 166.52/166.37 [718]~E(x7181,x7182)+E(f716(x7183,x7184,x7185,x7181,x7186),f716(x7183,x7184,x7185,x7182,x7186)) % 166.52/166.37 [719]~E(x7191,x7192)+E(f716(x7193,x7194,x7195,x7196,x7191),f716(x7193,x7194,x7195,x7196,x7192)) % 166.52/166.37 [720]~E(x7201,x7202)+E(f195(x7201,x7203),f195(x7202,x7203)) % 166.52/166.37 [721]~E(x7211,x7212)+E(f195(x7213,x7211),f195(x7213,x7212)) % 166.52/166.37 [722]~E(x7221,x7222)+E(f274(x7221,x7223),f274(x7222,x7223)) % 166.52/166.37 [723]~E(x7231,x7232)+E(f274(x7233,x7231),f274(x7233,x7232)) % 166.52/166.37 [724]~E(x7241,x7242)+E(f349(x7241),f349(x7242)) % 166.52/166.37 [725]~E(x7251,x7252)+E(f367(x7251,x7253,x7254,x7255),f367(x7252,x7253,x7254,x7255)) % 166.52/166.37 [726]~E(x7261,x7262)+E(f367(x7263,x7261,x7264,x7265),f367(x7263,x7262,x7264,x7265)) % 166.52/166.37 [727]~E(x7271,x7272)+E(f367(x7273,x7274,x7271,x7275),f367(x7273,x7274,x7272,x7275)) % 166.52/166.37 [728]~E(x7281,x7282)+E(f367(x7283,x7284,x7285,x7281),f367(x7283,x7284,x7285,x7282)) % 166.52/166.37 [729]~E(x7291,x7292)+E(f90(x7291),f90(x7292)) % 166.52/166.37 [730]~E(x7301,x7302)+E(f345(x7301,x7303,x7304,x7305,x7306),f345(x7302,x7303,x7304,x7305,x7306)) % 166.52/166.37 [731]~E(x7311,x7312)+E(f345(x7313,x7311,x7314,x7315,x7316),f345(x7313,x7312,x7314,x7315,x7316)) % 166.52/166.37 [732]~E(x7321,x7322)+E(f345(x7323,x7324,x7321,x7325,x7326),f345(x7323,x7324,x7322,x7325,x7326)) % 166.52/166.37 [733]~E(x7331,x7332)+E(f345(x7333,x7334,x7335,x7331,x7336),f345(x7333,x7334,x7335,x7332,x7336)) % 166.52/166.37 [734]~E(x7341,x7342)+E(f345(x7343,x7344,x7345,x7346,x7341),f345(x7343,x7344,x7345,x7346,x7342)) % 166.52/166.37 [735]~E(x7351,x7352)+E(f204(x7351),f204(x7352)) % 166.52/166.37 [736]~E(x7361,x7362)+E(f862(x7361,x7363,x7364),f862(x7362,x7363,x7364)) % 166.52/166.37 [737]~E(x7371,x7372)+E(f862(x7373,x7371,x7374),f862(x7373,x7372,x7374)) % 166.52/166.37 [738]~E(x7381,x7382)+E(f862(x7383,x7384,x7381),f862(x7383,x7384,x7382)) % 166.52/166.37 [739]~E(x7391,x7392)+E(f805(x7391,x7393,x7394),f805(x7392,x7393,x7394)) % 166.52/166.37 [740]~E(x7401,x7402)+E(f805(x7403,x7401,x7404),f805(x7403,x7402,x7404)) % 166.52/166.37 [741]~E(x7411,x7412)+E(f805(x7413,x7414,x7411),f805(x7413,x7414,x7412)) % 166.52/166.37 [742]~E(x7421,x7422)+E(f150(x7421,x7423),f150(x7422,x7423)) % 166.52/166.37 [743]~E(x7431,x7432)+E(f150(x7433,x7431),f150(x7433,x7432)) % 166.52/166.37 [744]~E(x7441,x7442)+E(f708(x7441,x7443,x7444,x7445),f708(x7442,x7443,x7444,x7445)) % 166.52/166.37 [745]~E(x7451,x7452)+E(f708(x7453,x7451,x7454,x7455),f708(x7453,x7452,x7454,x7455)) % 166.52/166.37 [746]~E(x7461,x7462)+E(f708(x7463,x7464,x7461,x7465),f708(x7463,x7464,x7462,x7465)) % 166.52/166.37 [747]~E(x7471,x7472)+E(f708(x7473,x7474,x7475,x7471),f708(x7473,x7474,x7475,x7472)) % 166.52/166.37 [748]~E(x7481,x7482)+E(f809(x7481,x7483,x7484,x7485),f809(x7482,x7483,x7484,x7485)) % 166.52/166.37 [749]~E(x7491,x7492)+E(f809(x7493,x7491,x7494,x7495),f809(x7493,x7492,x7494,x7495)) % 166.52/166.37 [750]~E(x7501,x7502)+E(f809(x7503,x7504,x7501,x7505),f809(x7503,x7504,x7502,x7505)) % 166.52/166.37 [751]~E(x7511,x7512)+E(f809(x7513,x7514,x7515,x7511),f809(x7513,x7514,x7515,x7512)) % 166.52/166.37 [752]~E(x7521,x7522)+E(f629(x7521,x7523,x7524,x7525,x7526),f629(x7522,x7523,x7524,x7525,x7526)) % 166.52/166.37 [753]~E(x7531,x7532)+E(f629(x7533,x7531,x7534,x7535,x7536),f629(x7533,x7532,x7534,x7535,x7536)) % 166.52/166.37 [754]~E(x7541,x7542)+E(f629(x7543,x7544,x7541,x7545,x7546),f629(x7543,x7544,x7542,x7545,x7546)) % 166.52/166.37 [755]~E(x7551,x7552)+E(f629(x7553,x7554,x7555,x7551,x7556),f629(x7553,x7554,x7555,x7552,x7556)) % 166.52/166.37 [756]~E(x7561,x7562)+E(f629(x7563,x7564,x7565,x7566,x7561),f629(x7563,x7564,x7565,x7566,x7562)) % 166.52/166.37 [757]~E(x7571,x7572)+E(f754(x7571,x7573),f754(x7572,x7573)) % 166.52/166.37 [758]~E(x7581,x7582)+E(f754(x7583,x7581),f754(x7583,x7582)) % 166.52/166.37 [759]~E(x7591,x7592)+E(f814(x7591,x7593,x7594,x7595,x7596),f814(x7592,x7593,x7594,x7595,x7596)) % 166.52/166.37 [760]~E(x7601,x7602)+E(f814(x7603,x7601,x7604,x7605,x7606),f814(x7603,x7602,x7604,x7605,x7606)) % 166.52/166.37 [761]~E(x7611,x7612)+E(f814(x7613,x7614,x7611,x7615,x7616),f814(x7613,x7614,x7612,x7615,x7616)) % 166.52/166.37 [762]~E(x7621,x7622)+E(f814(x7623,x7624,x7625,x7621,x7626),f814(x7623,x7624,x7625,x7622,x7626)) % 166.52/166.37 [763]~E(x7631,x7632)+E(f814(x7633,x7634,x7635,x7636,x7631),f814(x7633,x7634,x7635,x7636,x7632)) % 166.52/166.37 [764]~E(x7641,x7642)+E(f666(x7641,x7643,x7644,x7645,x7646,x7647),f666(x7642,x7643,x7644,x7645,x7646,x7647)) % 166.52/166.37 [765]~E(x7651,x7652)+E(f666(x7653,x7651,x7654,x7655,x7656,x7657),f666(x7653,x7652,x7654,x7655,x7656,x7657)) % 166.52/166.37 [766]~E(x7661,x7662)+E(f666(x7663,x7664,x7661,x7665,x7666,x7667),f666(x7663,x7664,x7662,x7665,x7666,x7667)) % 166.52/166.37 [767]~E(x7671,x7672)+E(f666(x7673,x7674,x7675,x7671,x7676,x7677),f666(x7673,x7674,x7675,x7672,x7676,x7677)) % 166.52/166.37 [768]~E(x7681,x7682)+E(f666(x7683,x7684,x7685,x7686,x7681,x7687),f666(x7683,x7684,x7685,x7686,x7682,x7687)) % 166.52/166.37 [769]~E(x7691,x7692)+E(f666(x7693,x7694,x7695,x7696,x7697,x7691),f666(x7693,x7694,x7695,x7696,x7697,x7692)) % 166.52/166.37 [770]~E(x7701,x7702)+E(f641(x7701,x7703,x7704),f641(x7702,x7703,x7704)) % 166.52/166.37 [771]~E(x7711,x7712)+E(f641(x7713,x7711,x7714),f641(x7713,x7712,x7714)) % 166.52/166.37 [772]~E(x7721,x7722)+E(f641(x7723,x7724,x7721),f641(x7723,x7724,x7722)) % 166.52/166.37 [773]~E(x7731,x7732)+E(f667(x7731,x7733,x7734,x7735,x7736,x7737),f667(x7732,x7733,x7734,x7735,x7736,x7737)) % 166.52/166.37 [774]~E(x7741,x7742)+E(f667(x7743,x7741,x7744,x7745,x7746,x7747),f667(x7743,x7742,x7744,x7745,x7746,x7747)) % 166.52/166.37 [775]~E(x7751,x7752)+E(f667(x7753,x7754,x7751,x7755,x7756,x7757),f667(x7753,x7754,x7752,x7755,x7756,x7757)) % 166.52/166.37 [776]~E(x7761,x7762)+E(f667(x7763,x7764,x7765,x7761,x7766,x7767),f667(x7763,x7764,x7765,x7762,x7766,x7767)) % 166.52/166.37 [777]~E(x7771,x7772)+E(f667(x7773,x7774,x7775,x7776,x7771,x7777),f667(x7773,x7774,x7775,x7776,x7772,x7777)) % 166.52/166.37 [778]~E(x7781,x7782)+E(f667(x7783,x7784,x7785,x7786,x7787,x7781),f667(x7783,x7784,x7785,x7786,x7787,x7782)) % 166.52/166.37 [779]~E(x7791,x7792)+E(f57(x7791),f57(x7792)) % 166.52/166.37 [780]~E(x7801,x7802)+E(f681(x7801,x7803,x7804),f681(x7802,x7803,x7804)) % 166.52/166.37 [781]~E(x7811,x7812)+E(f681(x7813,x7811,x7814),f681(x7813,x7812,x7814)) % 166.52/166.37 [782]~E(x7821,x7822)+E(f681(x7823,x7824,x7821),f681(x7823,x7824,x7822)) % 166.52/166.37 [783]~E(x7831,x7832)+E(f644(x7831,x7833,x7834),f644(x7832,x7833,x7834)) % 166.52/166.37 [784]~E(x7841,x7842)+E(f644(x7843,x7841,x7844),f644(x7843,x7842,x7844)) % 166.52/166.37 [785]~E(x7851,x7852)+E(f644(x7853,x7854,x7851),f644(x7853,x7854,x7852)) % 166.52/166.37 [786]~E(x7861,x7862)+E(f702(x7861,x7863,x7864,x7865,x7866),f702(x7862,x7863,x7864,x7865,x7866)) % 166.52/166.37 [787]~E(x7871,x7872)+E(f702(x7873,x7871,x7874,x7875,x7876),f702(x7873,x7872,x7874,x7875,x7876)) % 166.52/166.37 [788]~E(x7881,x7882)+E(f702(x7883,x7884,x7881,x7885,x7886),f702(x7883,x7884,x7882,x7885,x7886)) % 166.52/166.37 [789]~E(x7891,x7892)+E(f702(x7893,x7894,x7895,x7891,x7896),f702(x7893,x7894,x7895,x7892,x7896)) % 166.52/166.37 [790]~E(x7901,x7902)+E(f702(x7903,x7904,x7905,x7906,x7901),f702(x7903,x7904,x7905,x7906,x7902)) % 166.52/166.37 [791]~E(x7911,x7912)+E(f734(x7911,x7913,x7914),f734(x7912,x7913,x7914)) % 166.52/166.37 [792]~E(x7921,x7922)+E(f734(x7923,x7921,x7924),f734(x7923,x7922,x7924)) % 166.52/166.37 [793]~E(x7931,x7932)+E(f734(x7933,x7934,x7931),f734(x7933,x7934,x7932)) % 166.52/166.37 [794]~E(x7941,x7942)+E(f517(x7941,x7943,x7944),f517(x7942,x7943,x7944)) % 166.52/166.37 [795]~E(x7951,x7952)+E(f517(x7953,x7951,x7954),f517(x7953,x7952,x7954)) % 166.52/166.37 [796]~E(x7961,x7962)+E(f517(x7963,x7964,x7961),f517(x7963,x7964,x7962)) % 166.52/166.37 [797]~E(x7971,x7972)+E(f756(x7971,x7973),f756(x7972,x7973)) % 166.52/166.37 [798]~E(x7981,x7982)+E(f756(x7983,x7981),f756(x7983,x7982)) % 166.52/166.37 [799]~E(x7991,x7992)+E(f343(x7991,x7993,x7994),f343(x7992,x7993,x7994)) % 166.52/166.37 [800]~E(x8001,x8002)+E(f343(x8003,x8001,x8004),f343(x8003,x8002,x8004)) % 166.52/166.37 [801]~E(x8011,x8012)+E(f343(x8013,x8014,x8011),f343(x8013,x8014,x8012)) % 166.52/166.37 [802]~E(x8021,x8022)+E(f759(x8021,x8023,x8024,x8025,x8026),f759(x8022,x8023,x8024,x8025,x8026)) % 166.52/166.37 [803]~E(x8031,x8032)+E(f759(x8033,x8031,x8034,x8035,x8036),f759(x8033,x8032,x8034,x8035,x8036)) % 166.52/166.37 [804]~E(x8041,x8042)+E(f759(x8043,x8044,x8041,x8045,x8046),f759(x8043,x8044,x8042,x8045,x8046)) % 166.52/166.37 [805]~E(x8051,x8052)+E(f759(x8053,x8054,x8055,x8051,x8056),f759(x8053,x8054,x8055,x8052,x8056)) % 166.52/166.37 [806]~E(x8061,x8062)+E(f759(x8063,x8064,x8065,x8066,x8061),f759(x8063,x8064,x8065,x8066,x8062)) % 166.52/166.37 [807]~E(x8071,x8072)+E(f366(x8071,x8073),f366(x8072,x8073)) % 166.52/166.37 [808]~E(x8081,x8082)+E(f366(x8083,x8081),f366(x8083,x8082)) % 166.52/166.37 [809]~E(x8091,x8092)+E(f163(x8091,x8093),f163(x8092,x8093)) % 166.52/166.37 [810]~E(x8101,x8102)+E(f163(x8103,x8101),f163(x8103,x8102)) % 166.52/166.37 [811]~E(x8111,x8112)+E(f808(x8111,x8113,x8114,x8115),f808(x8112,x8113,x8114,x8115)) % 166.52/166.37 [812]~E(x8121,x8122)+E(f808(x8123,x8121,x8124,x8125),f808(x8123,x8122,x8124,x8125)) % 166.52/166.37 [813]~E(x8131,x8132)+E(f808(x8133,x8134,x8131,x8135),f808(x8133,x8134,x8132,x8135)) % 166.52/166.37 [814]~E(x8141,x8142)+E(f808(x8143,x8144,x8145,x8141),f808(x8143,x8144,x8145,x8142)) % 166.52/166.37 [815]~E(x8151,x8152)+E(f251(x8151,x8153,x8154,x8155,x8156,x8157),f251(x8152,x8153,x8154,x8155,x8156,x8157)) % 166.52/166.37 [816]~E(x8161,x8162)+E(f251(x8163,x8161,x8164,x8165,x8166,x8167),f251(x8163,x8162,x8164,x8165,x8166,x8167)) % 166.52/166.37 [817]~E(x8171,x8172)+E(f251(x8173,x8174,x8171,x8175,x8176,x8177),f251(x8173,x8174,x8172,x8175,x8176,x8177)) % 166.52/166.37 [818]~E(x8181,x8182)+E(f251(x8183,x8184,x8185,x8181,x8186,x8187),f251(x8183,x8184,x8185,x8182,x8186,x8187)) % 166.52/166.37 [819]~E(x8191,x8192)+E(f251(x8193,x8194,x8195,x8196,x8191,x8197),f251(x8193,x8194,x8195,x8196,x8192,x8197)) % 166.52/166.37 [820]~E(x8201,x8202)+E(f251(x8203,x8204,x8205,x8206,x8207,x8201),f251(x8203,x8204,x8205,x8206,x8207,x8202)) % 166.52/166.37 [821]~E(x8211,x8212)+E(f179(x8211,x8213,x8214),f179(x8212,x8213,x8214)) % 166.52/166.37 [822]~E(x8221,x8222)+E(f179(x8223,x8221,x8224),f179(x8223,x8222,x8224)) % 166.52/166.37 [823]~E(x8231,x8232)+E(f179(x8233,x8234,x8231),f179(x8233,x8234,x8232)) % 166.52/166.37 [824]~E(x8241,x8242)+E(f453(x8241,x8243,x8244),f453(x8242,x8243,x8244)) % 166.52/166.37 [825]~E(x8251,x8252)+E(f453(x8253,x8251,x8254),f453(x8253,x8252,x8254)) % 166.52/166.37 [826]~E(x8261,x8262)+E(f453(x8263,x8264,x8261),f453(x8263,x8264,x8262)) % 166.52/166.37 [827]~E(x8271,x8272)+E(f797(x8271,x8273,x8274,x8275),f797(x8272,x8273,x8274,x8275)) % 166.52/166.37 [828]~E(x8281,x8282)+E(f797(x8283,x8281,x8284,x8285),f797(x8283,x8282,x8284,x8285)) % 166.52/166.37 [829]~E(x8291,x8292)+E(f797(x8293,x8294,x8291,x8295),f797(x8293,x8294,x8292,x8295)) % 166.52/166.37 [830]~E(x8301,x8302)+E(f797(x8303,x8304,x8305,x8301),f797(x8303,x8304,x8305,x8302)) % 166.52/166.37 [831]~E(x8311,x8312)+E(f381(x8311,x8313,x8314,x8315),f381(x8312,x8313,x8314,x8315)) % 166.52/166.37 [832]~E(x8321,x8322)+E(f381(x8323,x8321,x8324,x8325),f381(x8323,x8322,x8324,x8325)) % 166.52/166.37 [833]~E(x8331,x8332)+E(f381(x8333,x8334,x8331,x8335),f381(x8333,x8334,x8332,x8335)) % 166.52/166.37 [834]~E(x8341,x8342)+E(f381(x8343,x8344,x8345,x8341),f381(x8343,x8344,x8345,x8342)) % 166.52/166.37 [835]~E(x8351,x8352)+E(f463(x8351,x8353,x8354),f463(x8352,x8353,x8354)) % 166.52/166.37 [836]~E(x8361,x8362)+E(f463(x8363,x8361,x8364),f463(x8363,x8362,x8364)) % 166.52/166.37 [837]~E(x8371,x8372)+E(f463(x8373,x8374,x8371),f463(x8373,x8374,x8372)) % 166.52/166.37 [838]~E(x8381,x8382)+E(f665(x8381,x8383,x8384,x8385,x8386,x8387),f665(x8382,x8383,x8384,x8385,x8386,x8387)) % 166.52/166.37 [839]~E(x8391,x8392)+E(f665(x8393,x8391,x8394,x8395,x8396,x8397),f665(x8393,x8392,x8394,x8395,x8396,x8397)) % 166.52/166.37 [840]~E(x8401,x8402)+E(f665(x8403,x8404,x8401,x8405,x8406,x8407),f665(x8403,x8404,x8402,x8405,x8406,x8407)) % 166.52/166.37 [841]~E(x8411,x8412)+E(f665(x8413,x8414,x8415,x8411,x8416,x8417),f665(x8413,x8414,x8415,x8412,x8416,x8417)) % 166.52/166.37 [842]~E(x8421,x8422)+E(f665(x8423,x8424,x8425,x8426,x8421,x8427),f665(x8423,x8424,x8425,x8426,x8422,x8427)) % 166.52/166.37 [843]~E(x8431,x8432)+E(f665(x8433,x8434,x8435,x8436,x8437,x8431),f665(x8433,x8434,x8435,x8436,x8437,x8432)) % 166.52/166.37 [844]~E(x8441,x8442)+E(f130(x8441,x8443,x8444),f130(x8442,x8443,x8444)) % 166.52/166.37 [845]~E(x8451,x8452)+E(f130(x8453,x8451,x8454),f130(x8453,x8452,x8454)) % 166.52/166.37 [846]~E(x8461,x8462)+E(f130(x8463,x8464,x8461),f130(x8463,x8464,x8462)) % 166.52/166.37 [847]~E(x8471,x8472)+E(f854(x8471,x8473,x8474),f854(x8472,x8473,x8474)) % 166.52/166.37 [848]~E(x8481,x8482)+E(f854(x8483,x8481,x8484),f854(x8483,x8482,x8484)) % 166.52/166.37 [849]~E(x8491,x8492)+E(f854(x8493,x8494,x8491),f854(x8493,x8494,x8492)) % 166.52/166.37 [850]~E(x8501,x8502)+E(f763(x8501,x8503),f763(x8502,x8503)) % 166.52/166.37 [851]~E(x8511,x8512)+E(f763(x8513,x8511),f763(x8513,x8512)) % 166.52/166.37 [852]~E(x8521,x8522)+E(f482(x8521,x8523,x8524,x8525,x8526,x8527,x8528,x8529),f482(x8522,x8523,x8524,x8525,x8526,x8527,x8528,x8529)) % 166.52/166.37 [853]~E(x8531,x8532)+E(f482(x8533,x8531,x8534,x8535,x8536,x8537,x8538,x8539),f482(x8533,x8532,x8534,x8535,x8536,x8537,x8538,x8539)) % 166.52/166.37 [854]~E(x8541,x8542)+E(f482(x8543,x8544,x8541,x8545,x8546,x8547,x8548,x8549),f482(x8543,x8544,x8542,x8545,x8546,x8547,x8548,x8549)) % 166.52/166.37 [855]~E(x8551,x8552)+E(f482(x8553,x8554,x8555,x8551,x8556,x8557,x8558,x8559),f482(x8553,x8554,x8555,x8552,x8556,x8557,x8558,x8559)) % 166.52/166.37 [856]~E(x8561,x8562)+E(f482(x8563,x8564,x8565,x8566,x8561,x8567,x8568,x8569),f482(x8563,x8564,x8565,x8566,x8562,x8567,x8568,x8569)) % 166.52/166.37 [857]~E(x8571,x8572)+E(f482(x8573,x8574,x8575,x8576,x8577,x8571,x8578,x8579),f482(x8573,x8574,x8575,x8576,x8577,x8572,x8578,x8579)) % 166.52/166.37 [858]~E(x8581,x8582)+E(f482(x8583,x8584,x8585,x8586,x8587,x8588,x8581,x8589),f482(x8583,x8584,x8585,x8586,x8587,x8588,x8582,x8589)) % 166.52/166.37 [859]~E(x8591,x8592)+E(f482(x8593,x8594,x8595,x8596,x8597,x8598,x8599,x8591),f482(x8593,x8594,x8595,x8596,x8597,x8598,x8599,x8592)) % 166.52/166.37 [860]~E(x8601,x8602)+E(f307(x8601,x8603,x8604),f307(x8602,x8603,x8604)) % 166.52/166.37 [861]~E(x8611,x8612)+E(f307(x8613,x8611,x8614),f307(x8613,x8612,x8614)) % 166.52/166.37 [862]~E(x8621,x8622)+E(f307(x8623,x8624,x8621),f307(x8623,x8624,x8622)) % 166.52/166.37 [863]~E(x8631,x8632)+E(f169(x8631,x8633,x8634),f169(x8632,x8633,x8634)) % 166.52/166.37 [864]~E(x8641,x8642)+E(f169(x8643,x8641,x8644),f169(x8643,x8642,x8644)) % 166.52/166.37 [865]~E(x8651,x8652)+E(f169(x8653,x8654,x8651),f169(x8653,x8654,x8652)) % 166.52/166.37 [866]~E(x8661,x8662)+E(f768(x8661,x8663,x8664,x8665,x8666),f768(x8662,x8663,x8664,x8665,x8666)) % 166.52/166.37 [867]~E(x8671,x8672)+E(f768(x8673,x8671,x8674,x8675,x8676),f768(x8673,x8672,x8674,x8675,x8676)) % 166.52/166.37 [868]~E(x8681,x8682)+E(f768(x8683,x8684,x8681,x8685,x8686),f768(x8683,x8684,x8682,x8685,x8686)) % 166.52/166.37 [869]~E(x8691,x8692)+E(f768(x8693,x8694,x8695,x8691,x8696),f768(x8693,x8694,x8695,x8692,x8696)) % 166.52/166.37 [870]~E(x8701,x8702)+E(f768(x8703,x8704,x8705,x8706,x8701),f768(x8703,x8704,x8705,x8706,x8702)) % 166.52/166.37 [871]~E(x8711,x8712)+E(f709(x8711,x8713,x8714,x8715),f709(x8712,x8713,x8714,x8715)) % 166.52/166.37 [872]~E(x8721,x8722)+E(f709(x8723,x8721,x8724,x8725),f709(x8723,x8722,x8724,x8725)) % 166.52/166.37 [873]~E(x8731,x8732)+E(f709(x8733,x8734,x8731,x8735),f709(x8733,x8734,x8732,x8735)) % 166.52/166.37 [874]~E(x8741,x8742)+E(f709(x8743,x8744,x8745,x8741),f709(x8743,x8744,x8745,x8742)) % 166.52/166.37 [875]~E(x8751,x8752)+E(f874(x8751,x8753,x8754,x8755,x8756,x8757),f874(x8752,x8753,x8754,x8755,x8756,x8757)) % 166.52/166.37 [876]~E(x8761,x8762)+E(f874(x8763,x8761,x8764,x8765,x8766,x8767),f874(x8763,x8762,x8764,x8765,x8766,x8767)) % 166.52/166.37 [877]~E(x8771,x8772)+E(f874(x8773,x8774,x8771,x8775,x8776,x8777),f874(x8773,x8774,x8772,x8775,x8776,x8777)) % 166.52/166.37 [878]~E(x8781,x8782)+E(f874(x8783,x8784,x8785,x8781,x8786,x8787),f874(x8783,x8784,x8785,x8782,x8786,x8787)) % 166.52/166.37 [879]~E(x8791,x8792)+E(f874(x8793,x8794,x8795,x8796,x8791,x8797),f874(x8793,x8794,x8795,x8796,x8792,x8797)) % 166.52/166.37 [880]~E(x8801,x8802)+E(f874(x8803,x8804,x8805,x8806,x8807,x8801),f874(x8803,x8804,x8805,x8806,x8807,x8802)) % 166.52/166.37 [881]~E(x8811,x8812)+E(f47(x8811,x8813),f47(x8812,x8813)) % 166.52/166.37 [882]~E(x8821,x8822)+E(f47(x8823,x8821),f47(x8823,x8822)) % 166.52/166.37 [883]~E(x8831,x8832)+E(f138(x8831),f138(x8832)) % 166.52/166.37 [884]~E(x8841,x8842)+E(f146(x8841,x8843),f146(x8842,x8843)) % 166.52/166.37 [885]~E(x8851,x8852)+E(f146(x8853,x8851),f146(x8853,x8852)) % 166.52/166.37 [886]~E(x8861,x8862)+E(f408(x8861,x8863),f408(x8862,x8863)) % 166.52/166.37 [887]~E(x8871,x8872)+E(f408(x8873,x8871),f408(x8873,x8872)) % 166.52/166.37 [888]~E(x8881,x8882)+E(f652(x8881,x8883,x8884,x8885,x8886,x8887),f652(x8882,x8883,x8884,x8885,x8886,x8887)) % 166.52/166.37 [889]~E(x8891,x8892)+E(f652(x8893,x8891,x8894,x8895,x8896,x8897),f652(x8893,x8892,x8894,x8895,x8896,x8897)) % 166.52/166.37 [890]~E(x8901,x8902)+E(f652(x8903,x8904,x8901,x8905,x8906,x8907),f652(x8903,x8904,x8902,x8905,x8906,x8907)) % 166.52/166.37 [891]~E(x8911,x8912)+E(f652(x8913,x8914,x8915,x8911,x8916,x8917),f652(x8913,x8914,x8915,x8912,x8916,x8917)) % 166.52/166.37 [892]~E(x8921,x8922)+E(f652(x8923,x8924,x8925,x8926,x8921,x8927),f652(x8923,x8924,x8925,x8926,x8922,x8927)) % 166.52/166.37 [893]~E(x8931,x8932)+E(f652(x8933,x8934,x8935,x8936,x8937,x8931),f652(x8933,x8934,x8935,x8936,x8937,x8932)) % 166.52/166.37 [894]~E(x8941,x8942)+E(f649(x8941,x8943,x8944,x8945,x8946,x8947,x8948,x8949,x89410),f649(x8942,x8943,x8944,x8945,x8946,x8947,x8948,x8949,x89410)) % 166.52/166.37 [895]~E(x8951,x8952)+E(f649(x8953,x8951,x8954,x8955,x8956,x8957,x8958,x8959,x89510),f649(x8953,x8952,x8954,x8955,x8956,x8957,x8958,x8959,x89510)) % 166.52/166.37 [896]~E(x8961,x8962)+E(f649(x8963,x8964,x8961,x8965,x8966,x8967,x8968,x8969,x89610),f649(x8963,x8964,x8962,x8965,x8966,x8967,x8968,x8969,x89610)) % 166.52/166.37 [897]~E(x8971,x8972)+E(f649(x8973,x8974,x8975,x8971,x8976,x8977,x8978,x8979,x89710),f649(x8973,x8974,x8975,x8972,x8976,x8977,x8978,x8979,x89710)) % 166.52/166.37 [898]~E(x8981,x8982)+E(f649(x8983,x8984,x8985,x8986,x8981,x8987,x8988,x8989,x89810),f649(x8983,x8984,x8985,x8986,x8982,x8987,x8988,x8989,x89810)) % 166.52/166.37 [899]~E(x8991,x8992)+E(f649(x8993,x8994,x8995,x8996,x8997,x8991,x8998,x8999,x89910),f649(x8993,x8994,x8995,x8996,x8997,x8992,x8998,x8999,x89910)) % 166.52/166.37 [900]~E(x9001,x9002)+E(f649(x9003,x9004,x9005,x9006,x9007,x9008,x9001,x9009,x90010),f649(x9003,x9004,x9005,x9006,x9007,x9008,x9002,x9009,x90010)) % 166.52/166.37 [901]~E(x9011,x9012)+E(f649(x9013,x9014,x9015,x9016,x9017,x9018,x9019,x9011,x90110),f649(x9013,x9014,x9015,x9016,x9017,x9018,x9019,x9012,x90110)) % 166.52/166.37 [902]~E(x9021,x9022)+E(f649(x9023,x9024,x9025,x9026,x9027,x9028,x9029,x90210,x9021),f649(x9023,x9024,x9025,x9026,x9027,x9028,x9029,x90210,x9022)) % 166.52/166.37 [903]~E(x9031,x9032)+E(f272(x9031),f272(x9032)) % 166.52/166.37 [904]~E(x9041,x9042)+E(f828(x9041,x9043),f828(x9042,x9043)) % 166.52/166.37 [905]~E(x9051,x9052)+E(f828(x9053,x9051),f828(x9053,x9052)) % 166.52/166.37 [906]~E(x9061,x9062)+E(f135(x9061,x9063),f135(x9062,x9063)) % 166.52/166.37 [907]~E(x9071,x9072)+E(f135(x9073,x9071),f135(x9073,x9072)) % 166.52/166.37 [908]~E(x9081,x9082)+E(f147(x9081,x9083),f147(x9082,x9083)) % 166.52/166.37 [909]~E(x9091,x9092)+E(f147(x9093,x9091),f147(x9093,x9092)) % 166.52/166.37 [910]~E(x9101,x9102)+E(f422(x9101,x9103,x9104,x9105,x9106),f422(x9102,x9103,x9104,x9105,x9106)) % 166.52/166.37 [911]~E(x9111,x9112)+E(f422(x9113,x9111,x9114,x9115,x9116),f422(x9113,x9112,x9114,x9115,x9116)) % 166.52/166.37 [912]~E(x9121,x9122)+E(f422(x9123,x9124,x9121,x9125,x9126),f422(x9123,x9124,x9122,x9125,x9126)) % 166.52/166.37 [913]~E(x9131,x9132)+E(f422(x9133,x9134,x9135,x9131,x9136),f422(x9133,x9134,x9135,x9132,x9136)) % 166.52/166.37 [914]~E(x9141,x9142)+E(f422(x9143,x9144,x9145,x9146,x9141),f422(x9143,x9144,x9145,x9146,x9142)) % 166.52/166.37 [915]~E(x9151,x9152)+E(f541(x9151,x9153,x9154,x9155),f541(x9152,x9153,x9154,x9155)) % 166.52/166.37 [916]~E(x9161,x9162)+E(f541(x9163,x9161,x9164,x9165),f541(x9163,x9162,x9164,x9165)) % 166.52/166.37 [917]~E(x9171,x9172)+E(f541(x9173,x9174,x9171,x9175),f541(x9173,x9174,x9172,x9175)) % 166.52/166.37 [918]~E(x9181,x9182)+E(f541(x9183,x9184,x9185,x9181),f541(x9183,x9184,x9185,x9182)) % 166.52/166.37 [919]~E(x9191,x9192)+E(f125(x9191,x9193),f125(x9192,x9193)) % 166.52/166.37 [920]~E(x9201,x9202)+E(f125(x9203,x9201),f125(x9203,x9202)) % 166.52/166.37 [921]~E(x9211,x9212)+E(f497(x9211,x9213,x9214),f497(x9212,x9213,x9214)) % 166.52/166.37 [922]~E(x9221,x9222)+E(f497(x9223,x9221,x9224),f497(x9223,x9222,x9224)) % 166.52/166.37 [923]~E(x9231,x9232)+E(f497(x9233,x9234,x9231),f497(x9233,x9234,x9232)) % 166.52/166.37 [924]~E(x9241,x9242)+E(f628(x9241,x9243,x9244,x9245),f628(x9242,x9243,x9244,x9245)) % 166.52/166.37 [925]~E(x9251,x9252)+E(f628(x9253,x9251,x9254,x9255),f628(x9253,x9252,x9254,x9255)) % 166.52/166.37 [926]~E(x9261,x9262)+E(f628(x9263,x9264,x9261,x9265),f628(x9263,x9264,x9262,x9265)) % 166.52/166.37 [927]~E(x9271,x9272)+E(f628(x9273,x9274,x9275,x9271),f628(x9273,x9274,x9275,x9272)) % 166.52/166.37 [928]~E(x9281,x9282)+E(f733(x9281,x9283,x9284),f733(x9282,x9283,x9284)) % 166.52/166.37 [929]~E(x9291,x9292)+E(f733(x9293,x9291,x9294),f733(x9293,x9292,x9294)) % 166.52/166.37 [930]~E(x9301,x9302)+E(f733(x9303,x9304,x9301),f733(x9303,x9304,x9302)) % 166.52/166.37 [931]~E(x9311,x9312)+E(f566(x9311,x9313,x9314,x9315),f566(x9312,x9313,x9314,x9315)) % 166.52/166.37 [932]~E(x9321,x9322)+E(f566(x9323,x9321,x9324,x9325),f566(x9323,x9322,x9324,x9325)) % 166.52/166.37 [933]~E(x9331,x9332)+E(f566(x9333,x9334,x9331,x9335),f566(x9333,x9334,x9332,x9335)) % 166.52/166.37 [934]~E(x9341,x9342)+E(f566(x9343,x9344,x9345,x9341),f566(x9343,x9344,x9345,x9342)) % 166.52/166.37 [935]~E(x9351,x9352)+E(f462(x9351,x9353,x9354,x9355,x9356),f462(x9352,x9353,x9354,x9355,x9356)) % 166.52/166.37 [936]~E(x9361,x9362)+E(f462(x9363,x9361,x9364,x9365,x9366),f462(x9363,x9362,x9364,x9365,x9366)) % 166.52/166.37 [937]~E(x9371,x9372)+E(f462(x9373,x9374,x9371,x9375,x9376),f462(x9373,x9374,x9372,x9375,x9376)) % 166.52/166.37 [938]~E(x9381,x9382)+E(f462(x9383,x9384,x9385,x9381,x9386),f462(x9383,x9384,x9385,x9382,x9386)) % 166.52/166.37 [939]~E(x9391,x9392)+E(f462(x9393,x9394,x9395,x9396,x9391),f462(x9393,x9394,x9395,x9396,x9392)) % 166.52/166.37 [940]~E(x9401,x9402)+E(f683(x9401,x9403,x9404),f683(x9402,x9403,x9404)) % 166.52/166.37 [941]~E(x9411,x9412)+E(f683(x9413,x9411,x9414),f683(x9413,x9412,x9414)) % 166.52/166.37 [942]~E(x9421,x9422)+E(f683(x9423,x9424,x9421),f683(x9423,x9424,x9422)) % 166.52/166.37 [943]~E(x9431,x9432)+E(f492(x9431),f492(x9432)) % 166.52/166.37 [944]~E(x9441,x9442)+E(f471(x9441,x9443,x9444),f471(x9442,x9443,x9444)) % 166.52/166.37 [945]~E(x9451,x9452)+E(f471(x9453,x9451,x9454),f471(x9453,x9452,x9454)) % 166.52/166.37 [946]~E(x9461,x9462)+E(f471(x9463,x9464,x9461),f471(x9463,x9464,x9462)) % 166.52/166.37 [947]~E(x9471,x9472)+E(f276(x9471,x9473,x9474,x9475),f276(x9472,x9473,x9474,x9475)) % 166.52/166.37 [948]~E(x9481,x9482)+E(f276(x9483,x9481,x9484,x9485),f276(x9483,x9482,x9484,x9485)) % 166.52/166.37 [949]~E(x9491,x9492)+E(f276(x9493,x9494,x9491,x9495),f276(x9493,x9494,x9492,x9495)) % 166.52/166.37 [950]~E(x9501,x9502)+E(f276(x9503,x9504,x9505,x9501),f276(x9503,x9504,x9505,x9502)) % 166.52/166.37 [951]~E(x9511,x9512)+E(f810(x9511,x9513,x9514,x9515),f810(x9512,x9513,x9514,x9515)) % 166.52/166.37 [952]~E(x9521,x9522)+E(f810(x9523,x9521,x9524,x9525),f810(x9523,x9522,x9524,x9525)) % 166.52/166.37 [953]~E(x9531,x9532)+E(f810(x9533,x9534,x9531,x9535),f810(x9533,x9534,x9532,x9535)) % 166.52/166.37 [954]~E(x9541,x9542)+E(f810(x9543,x9544,x9545,x9541),f810(x9543,x9544,x9545,x9542)) % 166.52/166.37 [955]~E(x9551,x9552)+E(f475(x9551,x9553,x9554,x9555,x9556),f475(x9552,x9553,x9554,x9555,x9556)) % 166.52/166.37 [956]~E(x9561,x9562)+E(f475(x9563,x9561,x9564,x9565,x9566),f475(x9563,x9562,x9564,x9565,x9566)) % 166.52/166.37 [957]~E(x9571,x9572)+E(f475(x9573,x9574,x9571,x9575,x9576),f475(x9573,x9574,x9572,x9575,x9576)) % 166.52/166.37 [958]~E(x9581,x9582)+E(f475(x9583,x9584,x9585,x9581,x9586),f475(x9583,x9584,x9585,x9582,x9586)) % 166.52/166.37 [959]~E(x9591,x9592)+E(f475(x9593,x9594,x9595,x9596,x9591),f475(x9593,x9594,x9595,x9596,x9592)) % 166.52/166.37 [960]~E(x9601,x9602)+E(f857(x9601,x9603,x9604),f857(x9602,x9603,x9604)) % 166.52/166.37 [961]~E(x9611,x9612)+E(f857(x9613,x9611,x9614),f857(x9613,x9612,x9614)) % 166.52/166.37 [962]~E(x9621,x9622)+E(f857(x9623,x9624,x9621),f857(x9623,x9624,x9622)) % 166.52/166.37 [963]~E(x9631,x9632)+E(f63(x9631,x9633,x9634),f63(x9632,x9633,x9634)) % 166.52/166.37 [964]~E(x9641,x9642)+E(f63(x9643,x9641,x9644),f63(x9643,x9642,x9644)) % 166.52/166.37 [965]~E(x9651,x9652)+E(f63(x9653,x9654,x9651),f63(x9653,x9654,x9652)) % 166.52/166.37 [966]~E(x9661,x9662)+E(f572(x9661),f572(x9662)) % 166.52/166.37 [967]~E(x9671,x9672)+E(f198(x9671,x9673),f198(x9672,x9673)) % 166.52/166.37 [968]~E(x9681,x9682)+E(f198(x9683,x9681),f198(x9683,x9682)) % 166.52/166.37 [969]~E(x9691,x9692)+E(f725(x9691,x9693),f725(x9692,x9693)) % 166.52/166.37 [970]~E(x9701,x9702)+E(f725(x9703,x9701),f725(x9703,x9702)) % 166.52/166.37 [971]~E(x9711,x9712)+E(f696(x9711,x9713,x9714),f696(x9712,x9713,x9714)) % 166.52/166.37 [972]~E(x9721,x9722)+E(f696(x9723,x9721,x9724),f696(x9723,x9722,x9724)) % 166.52/166.37 [973]~E(x9731,x9732)+E(f696(x9733,x9734,x9731),f696(x9733,x9734,x9732)) % 166.52/166.37 [974]~E(x9741,x9742)+E(f622(x9741,x9743,x9744,x9745,x9746),f622(x9742,x9743,x9744,x9745,x9746)) % 166.52/166.37 [975]~E(x9751,x9752)+E(f622(x9753,x9751,x9754,x9755,x9756),f622(x9753,x9752,x9754,x9755,x9756)) % 166.52/166.37 [976]~E(x9761,x9762)+E(f622(x9763,x9764,x9761,x9765,x9766),f622(x9763,x9764,x9762,x9765,x9766)) % 166.52/166.37 [977]~E(x9771,x9772)+E(f622(x9773,x9774,x9775,x9771,x9776),f622(x9773,x9774,x9775,x9772,x9776)) % 166.52/166.37 [978]~E(x9781,x9782)+E(f622(x9783,x9784,x9785,x9786,x9781),f622(x9783,x9784,x9785,x9786,x9782)) % 166.52/166.37 [979]~E(x9791,x9792)+E(f388(x9791,x9793),f388(x9792,x9793)) % 166.52/166.37 [980]~E(x9801,x9802)+E(f388(x9803,x9801),f388(x9803,x9802)) % 166.52/166.37 [981]~E(x9811,x9812)+E(f213(x9811,x9813,x9814,x9815),f213(x9812,x9813,x9814,x9815)) % 166.52/166.37 [982]~E(x9821,x9822)+E(f213(x9823,x9821,x9824,x9825),f213(x9823,x9822,x9824,x9825)) % 166.52/166.37 [983]~E(x9831,x9832)+E(f213(x9833,x9834,x9831,x9835),f213(x9833,x9834,x9832,x9835)) % 166.52/166.37 [984]~E(x9841,x9842)+E(f213(x9843,x9844,x9845,x9841),f213(x9843,x9844,x9845,x9842)) % 166.52/166.37 [985]~E(x9851,x9852)+E(f747(x9851,x9853,x9854,x9855),f747(x9852,x9853,x9854,x9855)) % 166.52/166.37 [986]~E(x9861,x9862)+E(f747(x9863,x9861,x9864,x9865),f747(x9863,x9862,x9864,x9865)) % 166.52/166.37 [987]~E(x9871,x9872)+E(f747(x9873,x9874,x9871,x9875),f747(x9873,x9874,x9872,x9875)) % 166.52/166.37 [988]~E(x9881,x9882)+E(f747(x9883,x9884,x9885,x9881),f747(x9883,x9884,x9885,x9882)) % 166.52/166.37 [989]~E(x9891,x9892)+E(f346(x9891,x9893),f346(x9892,x9893)) % 166.52/166.37 [990]~E(x9901,x9902)+E(f346(x9903,x9901),f346(x9903,x9902)) % 166.52/166.37 [991]~E(x9911,x9912)+E(f488(x9911,x9913,x9914),f488(x9912,x9913,x9914)) % 166.52/166.37 [992]~E(x9921,x9922)+E(f488(x9923,x9921,x9924),f488(x9923,x9922,x9924)) % 166.52/166.37 [993]~E(x9931,x9932)+E(f488(x9933,x9934,x9931),f488(x9933,x9934,x9932)) % 166.52/166.37 [994]~E(x9941,x9942)+E(f706(x9941,x9943,x9944,x9945),f706(x9942,x9943,x9944,x9945)) % 166.52/166.37 [995]~E(x9951,x9952)+E(f706(x9953,x9951,x9954,x9955),f706(x9953,x9952,x9954,x9955)) % 166.52/166.37 [996]~E(x9961,x9962)+E(f706(x9963,x9964,x9961,x9965),f706(x9963,x9964,x9962,x9965)) % 166.52/166.37 [997]~E(x9971,x9972)+E(f706(x9973,x9974,x9975,x9971),f706(x9973,x9974,x9975,x9972)) % 166.52/166.37 [998]~E(x9981,x9982)+E(f356(x9981,x9983,x9984,x9985),f356(x9982,x9983,x9984,x9985)) % 166.52/166.37 [999]~E(x9991,x9992)+E(f356(x9993,x9991,x9994,x9995),f356(x9993,x9992,x9994,x9995)) % 166.52/166.37 [1000]~E(x10001,x10002)+E(f356(x10003,x10004,x10001,x10005),f356(x10003,x10004,x10002,x10005)) % 166.52/166.37 [1001]~E(x10011,x10012)+E(f356(x10013,x10014,x10015,x10011),f356(x10013,x10014,x10015,x10012)) % 166.52/166.37 [1002]~E(x10021,x10022)+E(f664(x10021,x10023,x10024,x10025),f664(x10022,x10023,x10024,x10025)) % 166.52/166.37 [1003]~E(x10031,x10032)+E(f664(x10033,x10031,x10034,x10035),f664(x10033,x10032,x10034,x10035)) % 166.52/166.37 [1004]~E(x10041,x10042)+E(f664(x10043,x10044,x10041,x10045),f664(x10043,x10044,x10042,x10045)) % 166.52/166.37 [1005]~E(x10051,x10052)+E(f664(x10053,x10054,x10055,x10051),f664(x10053,x10054,x10055,x10052)) % 166.52/166.37 [1006]~E(x10061,x10062)+E(f67(x10061,x10063,x10064,x10065,x10066),f67(x10062,x10063,x10064,x10065,x10066)) % 166.52/166.37 [1007]~E(x10071,x10072)+E(f67(x10073,x10071,x10074,x10075,x10076),f67(x10073,x10072,x10074,x10075,x10076)) % 166.52/166.37 [1008]~E(x10081,x10082)+E(f67(x10083,x10084,x10081,x10085,x10086),f67(x10083,x10084,x10082,x10085,x10086)) % 166.52/166.37 [1009]~E(x10091,x10092)+E(f67(x10093,x10094,x10095,x10091,x10096),f67(x10093,x10094,x10095,x10092,x10096)) % 166.52/166.37 [1010]~E(x10101,x10102)+E(f67(x10103,x10104,x10105,x10106,x10101),f67(x10103,x10104,x10105,x10106,x10102)) % 166.52/166.37 [1011]~E(x10111,x10112)+E(f468(x10111,x10113,x10114),f468(x10112,x10113,x10114)) % 166.52/166.37 [1012]~E(x10121,x10122)+E(f468(x10123,x10121,x10124),f468(x10123,x10122,x10124)) % 166.52/166.37 [1013]~E(x10131,x10132)+E(f468(x10133,x10134,x10131),f468(x10133,x10134,x10132)) % 166.52/166.37 [1014]~E(x10141,x10142)+E(f281(x10141),f281(x10142)) % 166.52/166.37 [1015]~E(x10151,x10152)+E(f595(x10151,x10153,x10154,x10155,x10156,x10157,x10158,x10159),f595(x10152,x10153,x10154,x10155,x10156,x10157,x10158,x10159)) % 166.52/166.37 [1016]~E(x10161,x10162)+E(f595(x10163,x10161,x10164,x10165,x10166,x10167,x10168,x10169),f595(x10163,x10162,x10164,x10165,x10166,x10167,x10168,x10169)) % 166.52/166.37 [1017]~E(x10171,x10172)+E(f595(x10173,x10174,x10171,x10175,x10176,x10177,x10178,x10179),f595(x10173,x10174,x10172,x10175,x10176,x10177,x10178,x10179)) % 166.52/166.37 [1018]~E(x10181,x10182)+E(f595(x10183,x10184,x10185,x10181,x10186,x10187,x10188,x10189),f595(x10183,x10184,x10185,x10182,x10186,x10187,x10188,x10189)) % 166.52/166.37 [1019]~E(x10191,x10192)+E(f595(x10193,x10194,x10195,x10196,x10191,x10197,x10198,x10199),f595(x10193,x10194,x10195,x10196,x10192,x10197,x10198,x10199)) % 166.52/166.37 [1020]~E(x10201,x10202)+E(f595(x10203,x10204,x10205,x10206,x10207,x10201,x10208,x10209),f595(x10203,x10204,x10205,x10206,x10207,x10202,x10208,x10209)) % 166.52/166.37 [1021]~E(x10211,x10212)+E(f595(x10213,x10214,x10215,x10216,x10217,x10218,x10211,x10219),f595(x10213,x10214,x10215,x10216,x10217,x10218,x10212,x10219)) % 166.52/166.37 [1022]~E(x10221,x10222)+E(f595(x10223,x10224,x10225,x10226,x10227,x10228,x10229,x10221),f595(x10223,x10224,x10225,x10226,x10227,x10228,x10229,x10222)) % 166.52/166.37 [1023]~E(x10231,x10232)+E(f620(x10231,x10233,x10234,x10235,x10236),f620(x10232,x10233,x10234,x10235,x10236)) % 166.52/166.37 [1024]~E(x10241,x10242)+E(f620(x10243,x10241,x10244,x10245,x10246),f620(x10243,x10242,x10244,x10245,x10246)) % 166.52/166.37 [1025]~E(x10251,x10252)+E(f620(x10253,x10254,x10251,x10255,x10256),f620(x10253,x10254,x10252,x10255,x10256)) % 166.52/166.37 [1026]~E(x10261,x10262)+E(f620(x10263,x10264,x10265,x10261,x10266),f620(x10263,x10264,x10265,x10262,x10266)) % 166.52/166.37 [1027]~E(x10271,x10272)+E(f620(x10273,x10274,x10275,x10276,x10271),f620(x10273,x10274,x10275,x10276,x10272)) % 166.52/166.37 [1028]~E(x10281,x10282)+E(f588(x10281,x10283,x10284,x10285),f588(x10282,x10283,x10284,x10285)) % 166.52/166.37 [1029]~E(x10291,x10292)+E(f588(x10293,x10291,x10294,x10295),f588(x10293,x10292,x10294,x10295)) % 166.52/166.37 [1030]~E(x10301,x10302)+E(f588(x10303,x10304,x10301,x10305),f588(x10303,x10304,x10302,x10305)) % 166.52/166.37 [1031]~E(x10311,x10312)+E(f588(x10313,x10314,x10315,x10311),f588(x10313,x10314,x10315,x10312)) % 166.52/166.37 [1032]~E(x10321,x10322)+E(f799(x10321,x10323,x10324),f799(x10322,x10323,x10324)) % 166.52/166.37 [1033]~E(x10331,x10332)+E(f799(x10333,x10331,x10334),f799(x10333,x10332,x10334)) % 166.52/166.37 [1034]~E(x10341,x10342)+E(f799(x10343,x10344,x10341),f799(x10343,x10344,x10342)) % 166.52/166.37 [1035]~E(x10351,x10352)+E(f296(x10351,x10353,x10354),f296(x10352,x10353,x10354)) % 166.52/166.37 [1036]~E(x10361,x10362)+E(f296(x10363,x10361,x10364),f296(x10363,x10362,x10364)) % 166.52/166.37 [1037]~E(x10371,x10372)+E(f296(x10373,x10374,x10371),f296(x10373,x10374,x10372)) % 166.52/166.37 [1038]~E(x10381,x10382)+E(f773(x10381,x10383,x10384),f773(x10382,x10383,x10384)) % 166.52/166.37 [1039]~E(x10391,x10392)+E(f773(x10393,x10391,x10394),f773(x10393,x10392,x10394)) % 166.52/166.37 [1040]~E(x10401,x10402)+E(f773(x10403,x10404,x10401),f773(x10403,x10404,x10402)) % 166.52/166.37 [1041]~E(x10411,x10412)+E(f704(x10411,x10413,x10414,x10415,x10416),f704(x10412,x10413,x10414,x10415,x10416)) % 166.52/166.37 [1042]~E(x10421,x10422)+E(f704(x10423,x10421,x10424,x10425,x10426),f704(x10423,x10422,x10424,x10425,x10426)) % 166.52/166.37 [1043]~E(x10431,x10432)+E(f704(x10433,x10434,x10431,x10435,x10436),f704(x10433,x10434,x10432,x10435,x10436)) % 166.52/166.37 [1044]~E(x10441,x10442)+E(f704(x10443,x10444,x10445,x10441,x10446),f704(x10443,x10444,x10445,x10442,x10446)) % 166.52/166.37 [1045]~E(x10451,x10452)+E(f704(x10453,x10454,x10455,x10456,x10451),f704(x10453,x10454,x10455,x10456,x10452)) % 166.52/166.37 [1046]~E(x10461,x10462)+E(f549(x10461,x10463),f549(x10462,x10463)) % 166.52/166.37 [1047]~E(x10471,x10472)+E(f549(x10473,x10471),f549(x10473,x10472)) % 166.52/166.37 [1048]~E(x10481,x10482)+E(f662(x10481,x10483,x10484,x10485,x10486),f662(x10482,x10483,x10484,x10485,x10486)) % 166.52/166.37 [1049]~E(x10491,x10492)+E(f662(x10493,x10491,x10494,x10495,x10496),f662(x10493,x10492,x10494,x10495,x10496)) % 166.52/166.37 [1050]~E(x10501,x10502)+E(f662(x10503,x10504,x10501,x10505,x10506),f662(x10503,x10504,x10502,x10505,x10506)) % 166.52/166.37 [1051]~E(x10511,x10512)+E(f662(x10513,x10514,x10515,x10511,x10516),f662(x10513,x10514,x10515,x10512,x10516)) % 166.52/166.37 [1052]~E(x10521,x10522)+E(f662(x10523,x10524,x10525,x10526,x10521),f662(x10523,x10524,x10525,x10526,x10522)) % 166.52/166.37 [1053]~E(x10531,x10532)+E(f720(x10531,x10533,x10534,x10535,x10536),f720(x10532,x10533,x10534,x10535,x10536)) % 166.52/166.37 [1054]~E(x10541,x10542)+E(f720(x10543,x10541,x10544,x10545,x10546),f720(x10543,x10542,x10544,x10545,x10546)) % 166.52/166.37 [1055]~E(x10551,x10552)+E(f720(x10553,x10554,x10551,x10555,x10556),f720(x10553,x10554,x10552,x10555,x10556)) % 166.52/166.37 [1056]~E(x10561,x10562)+E(f720(x10563,x10564,x10565,x10561,x10566),f720(x10563,x10564,x10565,x10562,x10566)) % 166.52/166.37 [1057]~E(x10571,x10572)+E(f720(x10573,x10574,x10575,x10576,x10571),f720(x10573,x10574,x10575,x10576,x10572)) % 166.52/166.37 [1058]~E(x10581,x10582)+E(f750(x10581,x10583),f750(x10582,x10583)) % 166.52/166.37 [1059]~E(x10591,x10592)+E(f750(x10593,x10591),f750(x10593,x10592)) % 166.52/166.37 [1060]~E(x10601,x10602)+E(f826(x10601),f826(x10602)) % 166.52/166.37 [1061]~E(x10611,x10612)+E(f173(x10611,x10613,x10614),f173(x10612,x10613,x10614)) % 166.52/166.37 [1062]~E(x10621,x10622)+E(f173(x10623,x10621,x10624),f173(x10623,x10622,x10624)) % 166.52/166.37 [1063]~E(x10631,x10632)+E(f173(x10633,x10634,x10631),f173(x10633,x10634,x10632)) % 166.52/166.37 [1064]~E(x10641,x10642)+E(f741(x10641,x10643,x10644),f741(x10642,x10643,x10644)) % 166.52/166.37 [1065]~E(x10651,x10652)+E(f741(x10653,x10651,x10654),f741(x10653,x10652,x10654)) % 166.52/166.37 [1066]~E(x10661,x10662)+E(f741(x10663,x10664,x10661),f741(x10663,x10664,x10662)) % 166.52/166.37 [1067]~E(x10671,x10672)+E(f250(x10671,x10673,x10674),f250(x10672,x10673,x10674)) % 166.52/166.37 [1068]~E(x10681,x10682)+E(f250(x10683,x10681,x10684),f250(x10683,x10682,x10684)) % 166.52/166.37 [1069]~E(x10691,x10692)+E(f250(x10693,x10694,x10691),f250(x10693,x10694,x10692)) % 166.52/166.37 [1070]~E(x10701,x10702)+E(f220(x10701,x10703),f220(x10702,x10703)) % 166.52/166.37 [1071]~E(x10711,x10712)+E(f220(x10713,x10711),f220(x10713,x10712)) % 166.52/166.37 [1072]~E(x10721,x10722)+E(f524(x10721,x10723,x10724,x10725,x10726,x10727,x10728),f524(x10722,x10723,x10724,x10725,x10726,x10727,x10728)) % 166.52/166.37 [1073]~E(x10731,x10732)+E(f524(x10733,x10731,x10734,x10735,x10736,x10737,x10738),f524(x10733,x10732,x10734,x10735,x10736,x10737,x10738)) % 166.52/166.37 [1074]~E(x10741,x10742)+E(f524(x10743,x10744,x10741,x10745,x10746,x10747,x10748),f524(x10743,x10744,x10742,x10745,x10746,x10747,x10748)) % 166.52/166.37 [1075]~E(x10751,x10752)+E(f524(x10753,x10754,x10755,x10751,x10756,x10757,x10758),f524(x10753,x10754,x10755,x10752,x10756,x10757,x10758)) % 166.52/166.37 [1076]~E(x10761,x10762)+E(f524(x10763,x10764,x10765,x10766,x10761,x10767,x10768),f524(x10763,x10764,x10765,x10766,x10762,x10767,x10768)) % 166.52/166.37 [1077]~E(x10771,x10772)+E(f524(x10773,x10774,x10775,x10776,x10777,x10771,x10778),f524(x10773,x10774,x10775,x10776,x10777,x10772,x10778)) % 166.52/166.37 [1078]~E(x10781,x10782)+E(f524(x10783,x10784,x10785,x10786,x10787,x10788,x10781),f524(x10783,x10784,x10785,x10786,x10787,x10788,x10782)) % 166.52/166.37 [1079]~E(x10791,x10792)+E(f781(x10791,x10793,x10794),f781(x10792,x10793,x10794)) % 166.52/166.37 [1080]~E(x10801,x10802)+E(f781(x10803,x10801,x10804),f781(x10803,x10802,x10804)) % 166.52/166.37 [1081]~E(x10811,x10812)+E(f781(x10813,x10814,x10811),f781(x10813,x10814,x10812)) % 166.52/166.37 [1082]~E(x10821,x10822)+E(f721(x10821,x10823,x10824,x10825,x10826),f721(x10822,x10823,x10824,x10825,x10826)) % 166.52/166.37 [1083]~E(x10831,x10832)+E(f721(x10833,x10831,x10834,x10835,x10836),f721(x10833,x10832,x10834,x10835,x10836)) % 166.52/166.37 [1084]~E(x10841,x10842)+E(f721(x10843,x10844,x10841,x10845,x10846),f721(x10843,x10844,x10842,x10845,x10846)) % 166.52/166.37 [1085]~E(x10851,x10852)+E(f721(x10853,x10854,x10855,x10851,x10856),f721(x10853,x10854,x10855,x10852,x10856)) % 166.52/166.37 [1086]~E(x10861,x10862)+E(f721(x10863,x10864,x10865,x10866,x10861),f721(x10863,x10864,x10865,x10866,x10862)) % 166.52/166.37 [1087]~E(x10871,x10872)+E(f870(x10871,x10873,x10874,x10875),f870(x10872,x10873,x10874,x10875)) % 166.52/166.37 [1088]~E(x10881,x10882)+E(f870(x10883,x10881,x10884,x10885),f870(x10883,x10882,x10884,x10885)) % 166.52/166.37 [1089]~E(x10891,x10892)+E(f870(x10893,x10894,x10891,x10895),f870(x10893,x10894,x10892,x10895)) % 166.52/166.37 [1090]~E(x10901,x10902)+E(f870(x10903,x10904,x10905,x10901),f870(x10903,x10904,x10905,x10902)) % 166.52/166.37 [1091]~E(x10911,x10912)+E(f559(x10911,x10913,x10914,x10915,x10916,x10917),f559(x10912,x10913,x10914,x10915,x10916,x10917)) % 166.52/166.37 [1092]~E(x10921,x10922)+E(f559(x10923,x10921,x10924,x10925,x10926,x10927),f559(x10923,x10922,x10924,x10925,x10926,x10927)) % 166.52/166.37 [1093]~E(x10931,x10932)+E(f559(x10933,x10934,x10931,x10935,x10936,x10937),f559(x10933,x10934,x10932,x10935,x10936,x10937)) % 166.52/166.37 [1094]~E(x10941,x10942)+E(f559(x10943,x10944,x10945,x10941,x10946,x10947),f559(x10943,x10944,x10945,x10942,x10946,x10947)) % 166.52/166.37 [1095]~E(x10951,x10952)+E(f559(x10953,x10954,x10955,x10956,x10951,x10957),f559(x10953,x10954,x10955,x10956,x10952,x10957)) % 166.52/166.37 [1096]~E(x10961,x10962)+E(f559(x10963,x10964,x10965,x10966,x10967,x10961),f559(x10963,x10964,x10965,x10966,x10967,x10962)) % 166.52/166.37 [1097]~E(x10971,x10972)+E(f609(x10971,x10973),f609(x10972,x10973)) % 166.52/166.37 [1098]~E(x10981,x10982)+E(f609(x10983,x10981),f609(x10983,x10982)) % 166.52/166.37 [1099]~E(x10991,x10992)+E(f868(x10991),f868(x10992)) % 166.52/166.37 [1100]~E(x11001,x11002)+E(f188(x11001,x11003,x11004,x11005),f188(x11002,x11003,x11004,x11005)) % 166.52/166.37 [1101]~E(x11011,x11012)+E(f188(x11013,x11011,x11014,x11015),f188(x11013,x11012,x11014,x11015)) % 166.52/166.37 [1102]~E(x11021,x11022)+E(f188(x11023,x11024,x11021,x11025),f188(x11023,x11024,x11022,x11025)) % 166.52/166.37 [1103]~E(x11031,x11032)+E(f188(x11033,x11034,x11035,x11031),f188(x11033,x11034,x11035,x11032)) % 166.52/166.37 [1104]~E(x11041,x11042)+E(f812(x11041,x11043,x11044,x11045,x11046,x11047,x11048),f812(x11042,x11043,x11044,x11045,x11046,x11047,x11048)) % 166.52/166.37 [1105]~E(x11051,x11052)+E(f812(x11053,x11051,x11054,x11055,x11056,x11057,x11058),f812(x11053,x11052,x11054,x11055,x11056,x11057,x11058)) % 166.52/166.37 [1106]~E(x11061,x11062)+E(f812(x11063,x11064,x11061,x11065,x11066,x11067,x11068),f812(x11063,x11064,x11062,x11065,x11066,x11067,x11068)) % 166.52/166.37 [1107]~E(x11071,x11072)+E(f812(x11073,x11074,x11075,x11071,x11076,x11077,x11078),f812(x11073,x11074,x11075,x11072,x11076,x11077,x11078)) % 166.52/166.37 [1108]~E(x11081,x11082)+E(f812(x11083,x11084,x11085,x11086,x11081,x11087,x11088),f812(x11083,x11084,x11085,x11086,x11082,x11087,x11088)) % 166.52/166.37 [1109]~E(x11091,x11092)+E(f812(x11093,x11094,x11095,x11096,x11097,x11091,x11098),f812(x11093,x11094,x11095,x11096,x11097,x11092,x11098)) % 166.52/166.37 [1110]~E(x11101,x11102)+E(f812(x11103,x11104,x11105,x11106,x11107,x11108,x11101),f812(x11103,x11104,x11105,x11106,x11107,x11108,x11102)) % 166.52/166.37 [1111]~E(x11111,x11112)+E(f350(x11111),f350(x11112)) % 166.52/166.37 [1112]~E(x11121,x11122)+E(f547(x11121,x11123,x11124),f547(x11122,x11123,x11124)) % 166.52/166.37 [1113]~E(x11131,x11132)+E(f547(x11133,x11131,x11134),f547(x11133,x11132,x11134)) % 166.52/166.37 [1114]~E(x11141,x11142)+E(f547(x11143,x11144,x11141),f547(x11143,x11144,x11142)) % 166.52/166.37 [1115]~E(x11151,x11152)+E(f771(x11151,x11153,x11154,x11155,x11156,x11157,x11158),f771(x11152,x11153,x11154,x11155,x11156,x11157,x11158)) % 166.52/166.37 [1116]~E(x11161,x11162)+E(f771(x11163,x11161,x11164,x11165,x11166,x11167,x11168),f771(x11163,x11162,x11164,x11165,x11166,x11167,x11168)) % 166.52/166.37 [1117]~E(x11171,x11172)+E(f771(x11173,x11174,x11171,x11175,x11176,x11177,x11178),f771(x11173,x11174,x11172,x11175,x11176,x11177,x11178)) % 166.52/166.37 [1118]~E(x11181,x11182)+E(f771(x11183,x11184,x11185,x11181,x11186,x11187,x11188),f771(x11183,x11184,x11185,x11182,x11186,x11187,x11188)) % 166.52/166.37 [1119]~E(x11191,x11192)+E(f771(x11193,x11194,x11195,x11196,x11191,x11197,x11198),f771(x11193,x11194,x11195,x11196,x11192,x11197,x11198)) % 166.52/166.37 [1120]~E(x11201,x11202)+E(f771(x11203,x11204,x11205,x11206,x11207,x11201,x11208),f771(x11203,x11204,x11205,x11206,x11207,x11202,x11208)) % 166.52/166.37 [1121]~E(x11211,x11212)+E(f771(x11213,x11214,x11215,x11216,x11217,x11218,x11211),f771(x11213,x11214,x11215,x11216,x11217,x11218,x11212)) % 166.52/166.37 [1122]~E(x11221,x11222)+E(f678(x11221,x11223,x11224,x11225,x11226),f678(x11222,x11223,x11224,x11225,x11226)) % 166.52/166.37 [1123]~E(x11231,x11232)+E(f678(x11233,x11231,x11234,x11235,x11236),f678(x11233,x11232,x11234,x11235,x11236)) % 166.52/166.37 [1124]~E(x11241,x11242)+E(f678(x11243,x11244,x11241,x11245,x11246),f678(x11243,x11244,x11242,x11245,x11246)) % 166.52/166.37 [1125]~E(x11251,x11252)+E(f678(x11253,x11254,x11255,x11251,x11256),f678(x11253,x11254,x11255,x11252,x11256)) % 166.52/166.37 [1126]~E(x11261,x11262)+E(f678(x11263,x11264,x11265,x11266,x11261),f678(x11263,x11264,x11265,x11266,x11262)) % 166.52/166.37 [1127]~E(x11271,x11272)+E(f899(x11271,x11273),f899(x11272,x11273)) % 166.52/166.37 [1128]~E(x11281,x11282)+E(f899(x11283,x11281),f899(x11283,x11282)) % 166.52/166.37 [1129]~E(x11291,x11292)+E(f705(x11291,x11293,x11294,x11295,x11296),f705(x11292,x11293,x11294,x11295,x11296)) % 166.52/166.37 [1130]~E(x11301,x11302)+E(f705(x11303,x11301,x11304,x11305,x11306),f705(x11303,x11302,x11304,x11305,x11306)) % 166.52/166.37 [1131]~E(x11311,x11312)+E(f705(x11313,x11314,x11311,x11315,x11316),f705(x11313,x11314,x11312,x11315,x11316)) % 166.52/166.37 [1132]~E(x11321,x11322)+E(f705(x11323,x11324,x11325,x11321,x11326),f705(x11323,x11324,x11325,x11322,x11326)) % 166.52/166.37 [1133]~E(x11331,x11332)+E(f705(x11333,x11334,x11335,x11336,x11331),f705(x11333,x11334,x11335,x11336,x11332)) % 166.52/166.37 [1134]~E(x11341,x11342)+E(f888(x11341,x11343,x11344),f888(x11342,x11343,x11344)) % 166.52/166.37 [1135]~E(x11351,x11352)+E(f888(x11353,x11351,x11354),f888(x11353,x11352,x11354)) % 166.52/166.37 [1136]~E(x11361,x11362)+E(f888(x11363,x11364,x11361),f888(x11363,x11364,x11362)) % 166.52/166.37 [1137]~E(x11371,x11372)+E(f801(x11371,x11373,x11374,x11375),f801(x11372,x11373,x11374,x11375)) % 166.52/166.37 [1138]~E(x11381,x11382)+E(f801(x11383,x11381,x11384,x11385),f801(x11383,x11382,x11384,x11385)) % 166.52/166.37 [1139]~E(x11391,x11392)+E(f801(x11393,x11394,x11391,x11395),f801(x11393,x11394,x11392,x11395)) % 166.52/166.37 [1140]~E(x11401,x11402)+E(f801(x11403,x11404,x11405,x11401),f801(x11403,x11404,x11405,x11402)) % 166.52/166.37 [1141]~E(x11411,x11412)+E(f470(x11411,x11413,x11414,x11415),f470(x11412,x11413,x11414,x11415)) % 166.52/166.37 [1142]~E(x11421,x11422)+E(f470(x11423,x11421,x11424,x11425),f470(x11423,x11422,x11424,x11425)) % 166.52/166.37 [1143]~E(x11431,x11432)+E(f470(x11433,x11434,x11431,x11435),f470(x11433,x11434,x11432,x11435)) % 166.52/166.37 [1144]~E(x11441,x11442)+E(f470(x11443,x11444,x11445,x11441),f470(x11443,x11444,x11445,x11442)) % 166.52/166.37 [1145]~E(x11451,x11452)+E(f75(x11451,x11453),f75(x11452,x11453)) % 166.52/166.37 [1146]~E(x11461,x11462)+E(f75(x11463,x11461),f75(x11463,x11462)) % 166.52/166.37 [1147]~E(x11471,x11472)+E(f279(x11471,x11473,x11474,x11475),f279(x11472,x11473,x11474,x11475)) % 166.52/166.37 [1148]~E(x11481,x11482)+E(f279(x11483,x11481,x11484,x11485),f279(x11483,x11482,x11484,x11485)) % 166.52/166.37 [1149]~E(x11491,x11492)+E(f279(x11493,x11494,x11491,x11495),f279(x11493,x11494,x11492,x11495)) % 166.52/166.37 [1150]~E(x11501,x11502)+E(f279(x11503,x11504,x11505,x11501),f279(x11503,x11504,x11505,x11502)) % 166.52/166.37 [1151]~E(x11511,x11512)+E(f752(x11511,x11513),f752(x11512,x11513)) % 166.52/166.37 [1152]~E(x11521,x11522)+E(f752(x11523,x11521),f752(x11523,x11522)) % 166.52/166.37 [1153]~E(x11531,x11532)+E(f715(x11531,x11533,x11534),f715(x11532,x11533,x11534)) % 166.52/166.37 [1154]~E(x11541,x11542)+E(f715(x11543,x11541,x11544),f715(x11543,x11542,x11544)) % 166.52/166.37 [1155]~E(x11551,x11552)+E(f715(x11553,x11554,x11551),f715(x11553,x11554,x11552)) % 166.52/166.37 [1156]~E(x11561,x11562)+E(f483(x11561,x11563,x11564,x11565,x11566),f483(x11562,x11563,x11564,x11565,x11566)) % 166.52/166.37 [1157]~E(x11571,x11572)+E(f483(x11573,x11571,x11574,x11575,x11576),f483(x11573,x11572,x11574,x11575,x11576)) % 166.52/166.37 [1158]~E(x11581,x11582)+E(f483(x11583,x11584,x11581,x11585,x11586),f483(x11583,x11584,x11582,x11585,x11586)) % 166.52/166.37 [1159]~E(x11591,x11592)+E(f483(x11593,x11594,x11595,x11591,x11596),f483(x11593,x11594,x11595,x11592,x11596)) % 166.52/166.37 [1160]~E(x11601,x11602)+E(f483(x11603,x11604,x11605,x11606,x11601),f483(x11603,x11604,x11605,x11606,x11602)) % 166.52/166.37 [1161]~E(x11611,x11612)+E(f373(x11611,x11613,x11614,x11615),f373(x11612,x11613,x11614,x11615)) % 166.52/166.37 [1162]~E(x11621,x11622)+E(f373(x11623,x11621,x11624,x11625),f373(x11623,x11622,x11624,x11625)) % 166.52/166.37 [1163]~E(x11631,x11632)+E(f373(x11633,x11634,x11631,x11635),f373(x11633,x11634,x11632,x11635)) % 166.52/166.37 [1164]~E(x11641,x11642)+E(f373(x11643,x11644,x11645,x11641),f373(x11643,x11644,x11645,x11642)) % 166.52/166.37 [1165]~E(x11651,x11652)+E(f890(x11651,x11653),f890(x11652,x11653)) % 166.52/166.37 [1166]~E(x11661,x11662)+E(f890(x11663,x11661),f890(x11663,x11662)) % 166.52/166.37 [1167]~E(x11671,x11672)+E(f522(x11671,x11673,x11674,x11675),f522(x11672,x11673,x11674,x11675)) % 166.52/166.37 [1168]~E(x11681,x11682)+E(f522(x11683,x11681,x11684,x11685),f522(x11683,x11682,x11684,x11685)) % 166.52/166.37 [1169]~E(x11691,x11692)+E(f522(x11693,x11694,x11691,x11695),f522(x11693,x11694,x11692,x11695)) % 166.52/166.37 [1170]~E(x11701,x11702)+E(f522(x11703,x11704,x11705,x11701),f522(x11703,x11704,x11705,x11702)) % 166.52/166.37 [1171]~E(x11711,x11712)+E(f714(x11711,x11713,x11714),f714(x11712,x11713,x11714)) % 166.52/166.37 [1172]~E(x11721,x11722)+E(f714(x11723,x11721,x11724),f714(x11723,x11722,x11724)) % 166.52/166.37 [1173]~E(x11731,x11732)+E(f714(x11733,x11734,x11731),f714(x11733,x11734,x11732)) % 166.52/166.37 [1174]~E(x11741,x11742)+E(f28(x11741,x11743,x11744),f28(x11742,x11743,x11744)) % 166.52/166.37 [1175]~E(x11751,x11752)+E(f28(x11753,x11751,x11754),f28(x11753,x11752,x11754)) % 166.52/166.37 [1176]~E(x11761,x11762)+E(f28(x11763,x11764,x11761),f28(x11763,x11764,x11762)) % 166.52/166.37 [1177]~E(x11771,x11772)+E(f521(x11771,x11773,x11774),f521(x11772,x11773,x11774)) % 166.52/166.37 [1178]~E(x11781,x11782)+E(f521(x11783,x11781,x11784),f521(x11783,x11782,x11784)) % 166.52/166.37 [1179]~E(x11791,x11792)+E(f521(x11793,x11794,x11791),f521(x11793,x11794,x11792)) % 166.52/166.37 [1180]~E(x11801,x11802)+E(f606(x11801,x11803,x11804,x11805,x11806),f606(x11802,x11803,x11804,x11805,x11806)) % 166.52/166.37 [1181]~E(x11811,x11812)+E(f606(x11813,x11811,x11814,x11815,x11816),f606(x11813,x11812,x11814,x11815,x11816)) % 166.52/166.37 [1182]~E(x11821,x11822)+E(f606(x11823,x11824,x11821,x11825,x11826),f606(x11823,x11824,x11822,x11825,x11826)) % 166.52/166.37 [1183]~E(x11831,x11832)+E(f606(x11833,x11834,x11835,x11831,x11836),f606(x11833,x11834,x11835,x11832,x11836)) % 166.52/166.37 [1184]~E(x11841,x11842)+E(f606(x11843,x11844,x11845,x11846,x11841),f606(x11843,x11844,x11845,x11846,x11842)) % 166.52/166.37 [1185]~E(x11851,x11852)+E(f391(x11851,x11853,x11854),f391(x11852,x11853,x11854)) % 166.52/166.37 [1186]~E(x11861,x11862)+E(f391(x11863,x11861,x11864),f391(x11863,x11862,x11864)) % 166.52/166.37 [1187]~E(x11871,x11872)+E(f391(x11873,x11874,x11871),f391(x11873,x11874,x11872)) % 166.52/166.37 [1188]~E(x11881,x11882)+E(f884(x11881,x11883,x11884,x11885),f884(x11882,x11883,x11884,x11885)) % 166.52/166.37 [1189]~E(x11891,x11892)+E(f884(x11893,x11891,x11894,x11895),f884(x11893,x11892,x11894,x11895)) % 166.52/166.37 [1190]~E(x11901,x11902)+E(f884(x11903,x11904,x11901,x11905),f884(x11903,x11904,x11902,x11905)) % 166.52/166.37 [1191]~E(x11911,x11912)+E(f884(x11913,x11914,x11915,x11911),f884(x11913,x11914,x11915,x11912)) % 166.52/166.37 [1192]~E(x11921,x11922)+E(f203(x11921,x11923),f203(x11922,x11923)) % 166.52/166.37 [1193]~E(x11931,x11932)+E(f203(x11933,x11931),f203(x11933,x11932)) % 166.52/166.37 [1194]~E(x11941,x11942)+E(f726(x11941,x11943,x11944),f726(x11942,x11943,x11944)) % 166.52/166.37 [1195]~E(x11951,x11952)+E(f726(x11953,x11951,x11954),f726(x11953,x11952,x11954)) % 166.52/166.37 [1196]~E(x11961,x11962)+E(f726(x11963,x11964,x11961),f726(x11963,x11964,x11962)) % 166.52/166.37 [1197]~E(x11971,x11972)+E(f133(x11971),f133(x11972)) % 166.52/166.37 [1198]~E(x11981,x11982)+E(f231(x11981,x11983),f231(x11982,x11983)) % 166.52/166.37 [1199]~E(x11991,x11992)+E(f231(x11993,x11991),f231(x11993,x11992)) % 166.52/166.37 [1200]~E(x12001,x12002)+E(f379(x12001,x12003,x12004,x12005),f379(x12002,x12003,x12004,x12005)) % 166.52/166.37 [1201]~E(x12011,x12012)+E(f379(x12013,x12011,x12014,x12015),f379(x12013,x12012,x12014,x12015)) % 166.52/166.37 [1202]~E(x12021,x12022)+E(f379(x12023,x12024,x12021,x12025),f379(x12023,x12024,x12022,x12025)) % 166.52/166.37 [1203]~E(x12031,x12032)+E(f379(x12033,x12034,x12035,x12031),f379(x12033,x12034,x12035,x12032)) % 166.52/166.37 [1204]~E(x12041,x12042)+E(f582(x12041,x12043,x12044,x12045,x12046,x12047),f582(x12042,x12043,x12044,x12045,x12046,x12047)) % 166.52/166.37 [1205]~E(x12051,x12052)+E(f582(x12053,x12051,x12054,x12055,x12056,x12057),f582(x12053,x12052,x12054,x12055,x12056,x12057)) % 166.52/166.37 [1206]~E(x12061,x12062)+E(f582(x12063,x12064,x12061,x12065,x12066,x12067),f582(x12063,x12064,x12062,x12065,x12066,x12067)) % 166.52/166.37 [1207]~E(x12071,x12072)+E(f582(x12073,x12074,x12075,x12071,x12076,x12077),f582(x12073,x12074,x12075,x12072,x12076,x12077)) % 166.52/166.37 [1208]~E(x12081,x12082)+E(f582(x12083,x12084,x12085,x12086,x12081,x12087),f582(x12083,x12084,x12085,x12086,x12082,x12087)) % 166.52/166.37 [1209]~E(x12091,x12092)+E(f582(x12093,x12094,x12095,x12096,x12097,x12091),f582(x12093,x12094,x12095,x12096,x12097,x12092)) % 166.52/166.37 [1210]~E(x12101,x12102)+E(f661(x12101,x12103),f661(x12102,x12103)) % 166.52/166.37 [1211]~E(x12111,x12112)+E(f661(x12113,x12111),f661(x12113,x12112)) % 166.52/166.37 [1212]~E(x12121,x12122)+E(f386(x12121,x12123,x12124),f386(x12122,x12123,x12124)) % 166.52/166.37 [1213]~E(x12131,x12132)+E(f386(x12133,x12131,x12134),f386(x12133,x12132,x12134)) % 166.52/166.37 [1214]~E(x12141,x12142)+E(f386(x12143,x12144,x12141),f386(x12143,x12144,x12142)) % 166.52/166.37 [1215]~E(x12151,x12152)+E(f764(x12151,x12153,x12154,x12155),f764(x12152,x12153,x12154,x12155)) % 166.52/166.37 [1216]~E(x12161,x12162)+E(f764(x12163,x12161,x12164,x12165),f764(x12163,x12162,x12164,x12165)) % 166.52/166.37 [1217]~E(x12171,x12172)+E(f764(x12173,x12174,x12171,x12175),f764(x12173,x12174,x12172,x12175)) % 166.52/166.37 [1218]~E(x12181,x12182)+E(f764(x12183,x12184,x12185,x12181),f764(x12183,x12184,x12185,x12182)) % 166.52/166.37 [1219]~E(x12191,x12192)+E(f867(x12191,x12193),f867(x12192,x12193)) % 166.52/166.37 [1220]~E(x12201,x12202)+E(f867(x12203,x12201),f867(x12203,x12202)) % 166.52/166.37 [1221]~E(x12211,x12212)+E(f489(x12211,x12213,x12214),f489(x12212,x12213,x12214)) % 166.52/166.37 [1222]~E(x12221,x12222)+E(f489(x12223,x12221,x12224),f489(x12223,x12222,x12224)) % 166.52/166.37 [1223]~E(x12231,x12232)+E(f489(x12233,x12234,x12231),f489(x12233,x12234,x12232)) % 166.52/166.37 [1224]~E(x12241,x12242)+E(f275(x12241,x12243),f275(x12242,x12243)) % 166.52/166.37 [1225]~E(x12251,x12252)+E(f275(x12253,x12251),f275(x12253,x12252)) % 166.52/166.37 [1226]~E(x12261,x12262)+E(f232(x12261,x12263,x12264),f232(x12262,x12263,x12264)) % 166.52/166.37 [1227]~E(x12271,x12272)+E(f232(x12273,x12271,x12274),f232(x12273,x12272,x12274)) % 166.52/166.37 [1228]~E(x12281,x12282)+E(f232(x12283,x12284,x12281),f232(x12283,x12284,x12282)) % 166.52/166.37 [1229]~E(x12291,x12292)+E(f490(x12291,x12293,x12294,x12295,x12296,x12297),f490(x12292,x12293,x12294,x12295,x12296,x12297)) % 166.52/166.37 [1230]~E(x12301,x12302)+E(f490(x12303,x12301,x12304,x12305,x12306,x12307),f490(x12303,x12302,x12304,x12305,x12306,x12307)) % 166.52/166.37 [1231]~E(x12311,x12312)+E(f490(x12313,x12314,x12311,x12315,x12316,x12317),f490(x12313,x12314,x12312,x12315,x12316,x12317)) % 166.52/166.37 [1232]~E(x12321,x12322)+E(f490(x12323,x12324,x12325,x12321,x12326,x12327),f490(x12323,x12324,x12325,x12322,x12326,x12327)) % 166.52/166.37 [1233]~E(x12331,x12332)+E(f490(x12333,x12334,x12335,x12336,x12331,x12337),f490(x12333,x12334,x12335,x12336,x12332,x12337)) % 166.52/166.37 [1234]~E(x12341,x12342)+E(f490(x12343,x12344,x12345,x12346,x12347,x12341),f490(x12343,x12344,x12345,x12346,x12347,x12342)) % 166.52/166.37 [1235]~E(x12351,x12352)+E(f354(x12351,x12353),f354(x12352,x12353)) % 166.52/166.37 [1236]~E(x12361,x12362)+E(f354(x12363,x12361),f354(x12363,x12362)) % 166.52/166.37 [1237]~E(x12371,x12372)+E(f605(x12371,x12373,x12374,x12375,x12376),f605(x12372,x12373,x12374,x12375,x12376)) % 166.52/166.37 [1238]~E(x12381,x12382)+E(f605(x12383,x12381,x12384,x12385,x12386),f605(x12383,x12382,x12384,x12385,x12386)) % 166.52/166.37 [1239]~E(x12391,x12392)+E(f605(x12393,x12394,x12391,x12395,x12396),f605(x12393,x12394,x12392,x12395,x12396)) % 166.52/166.37 [1240]~E(x12401,x12402)+E(f605(x12403,x12404,x12405,x12401,x12406),f605(x12403,x12404,x12405,x12402,x12406)) % 166.52/166.37 [1241]~E(x12411,x12412)+E(f605(x12413,x12414,x12415,x12416,x12411),f605(x12413,x12414,x12415,x12416,x12412)) % 166.52/166.37 [1242]~E(x12421,x12422)+E(f176(x12421,x12423,x12424),f176(x12422,x12423,x12424)) % 166.52/166.37 [1243]~E(x12431,x12432)+E(f176(x12433,x12431,x12434),f176(x12433,x12432,x12434)) % 166.52/166.37 [1244]~E(x12441,x12442)+E(f176(x12443,x12444,x12441),f176(x12443,x12444,x12442)) % 166.52/166.37 [1245]~E(x12451,x12452)+E(f371(x12451,x12453,x12454,x12455),f371(x12452,x12453,x12454,x12455)) % 166.52/166.37 [1246]~E(x12461,x12462)+E(f371(x12463,x12461,x12464,x12465),f371(x12463,x12462,x12464,x12465)) % 166.52/166.37 [1247]~E(x12471,x12472)+E(f371(x12473,x12474,x12471,x12475),f371(x12473,x12474,x12472,x12475)) % 166.52/166.37 [1248]~E(x12481,x12482)+E(f371(x12483,x12484,x12485,x12481),f371(x12483,x12484,x12485,x12482)) % 166.52/166.37 [1249]~E(x12491,x12492)+E(f503(x12491,x12493,x12494,x12495,x12496,x12497),f503(x12492,x12493,x12494,x12495,x12496,x12497)) % 166.52/166.37 [1250]~E(x12501,x12502)+E(f503(x12503,x12501,x12504,x12505,x12506,x12507),f503(x12503,x12502,x12504,x12505,x12506,x12507)) % 166.52/166.37 [1251]~E(x12511,x12512)+E(f503(x12513,x12514,x12511,x12515,x12516,x12517),f503(x12513,x12514,x12512,x12515,x12516,x12517)) % 166.52/166.37 [1252]~E(x12521,x12522)+E(f503(x12523,x12524,x12525,x12521,x12526,x12527),f503(x12523,x12524,x12525,x12522,x12526,x12527)) % 166.52/166.37 [1253]~E(x12531,x12532)+E(f503(x12533,x12534,x12535,x12536,x12531,x12537),f503(x12533,x12534,x12535,x12536,x12532,x12537)) % 166.52/166.37 [1254]~E(x12541,x12542)+E(f503(x12543,x12544,x12545,x12546,x12547,x12541),f503(x12543,x12544,x12545,x12546,x12547,x12542)) % 166.52/166.37 [1255]~E(x12551,x12552)+E(f384(x12551,x12553,x12554),f384(x12552,x12553,x12554)) % 166.52/166.37 [1256]~E(x12561,x12562)+E(f384(x12563,x12561,x12564),f384(x12563,x12562,x12564)) % 166.52/166.37 [1257]~E(x12571,x12572)+E(f384(x12573,x12574,x12571),f384(x12573,x12574,x12572)) % 166.52/166.37 [1258]~E(x12581,x12582)+E(f807(x12581,x12583,x12584,x12585),f807(x12582,x12583,x12584,x12585)) % 166.52/166.37 [1259]~E(x12591,x12592)+E(f807(x12593,x12591,x12594,x12595),f807(x12593,x12592,x12594,x12595)) % 166.52/166.37 [1260]~E(x12601,x12602)+E(f807(x12603,x12604,x12601,x12605),f807(x12603,x12604,x12602,x12605)) % 166.52/166.37 [1261]~E(x12611,x12612)+E(f807(x12613,x12614,x12615,x12611),f807(x12613,x12614,x12615,x12612)) % 166.52/166.37 [1262]~E(x12621,x12622)+E(f558(x12621,x12623,x12624,x12625),f558(x12622,x12623,x12624,x12625)) % 166.52/166.37 [1263]~E(x12631,x12632)+E(f558(x12633,x12631,x12634,x12635),f558(x12633,x12632,x12634,x12635)) % 166.52/166.37 [1264]~E(x12641,x12642)+E(f558(x12643,x12644,x12641,x12645),f558(x12643,x12644,x12642,x12645)) % 166.52/166.37 [1265]~E(x12651,x12652)+E(f558(x12653,x12654,x12655,x12651),f558(x12653,x12654,x12655,x12652)) % 166.52/166.37 [1266]~E(x12661,x12662)+E(f728(x12661,x12663),f728(x12662,x12663)) % 166.52/166.37 [1267]~E(x12671,x12672)+E(f728(x12673,x12671),f728(x12673,x12672)) % 166.52/166.37 [1268]~E(x12681,x12682)+E(f898(x12681,x12683,x12684),f898(x12682,x12683,x12684)) % 166.52/166.37 [1269]~E(x12691,x12692)+E(f898(x12693,x12691,x12694),f898(x12693,x12692,x12694)) % 166.52/166.37 [1270]~E(x12701,x12702)+E(f898(x12703,x12704,x12701),f898(x12703,x12704,x12702)) % 166.52/166.37 [1271]~E(x12711,x12712)+E(f707(x12711,x12713,x12714,x12715),f707(x12712,x12713,x12714,x12715)) % 166.52/166.37 [1272]~E(x12721,x12722)+E(f707(x12723,x12721,x12724,x12725),f707(x12723,x12722,x12724,x12725)) % 166.52/166.37 [1273]~E(x12731,x12732)+E(f707(x12733,x12734,x12731,x12735),f707(x12733,x12734,x12732,x12735)) % 166.52/166.37 [1274]~E(x12741,x12742)+E(f707(x12743,x12744,x12745,x12741),f707(x12743,x12744,x12745,x12742)) % 166.52/166.37 [1275]~E(x12751,x12752)+E(f234(x12751,x12753,x12754),f234(x12752,x12753,x12754)) % 166.52/166.37 [1276]~E(x12761,x12762)+E(f234(x12763,x12761,x12764),f234(x12763,x12762,x12764)) % 166.52/166.37 [1277]~E(x12771,x12772)+E(f234(x12773,x12774,x12771),f234(x12773,x12774,x12772)) % 166.52/166.37 [1278]~E(x12781,x12782)+E(f271(x12781,x12783),f271(x12782,x12783)) % 166.52/166.37 [1279]~E(x12791,x12792)+E(f271(x12793,x12791),f271(x12793,x12792)) % 166.52/166.37 [1280]~E(x12801,x12802)+E(f260(x12801,x12803,x12804,x12805),f260(x12802,x12803,x12804,x12805)) % 166.52/166.37 [1281]~E(x12811,x12812)+E(f260(x12813,x12811,x12814,x12815),f260(x12813,x12812,x12814,x12815)) % 166.52/166.37 [1282]~E(x12821,x12822)+E(f260(x12823,x12824,x12821,x12825),f260(x12823,x12824,x12822,x12825)) % 166.52/166.37 [1283]~E(x12831,x12832)+E(f260(x12833,x12834,x12835,x12831),f260(x12833,x12834,x12835,x12832)) % 166.52/166.37 [1284]~E(x12841,x12842)+E(f270(x12841,x12843,x12844),f270(x12842,x12843,x12844)) % 166.52/166.37 [1285]~E(x12851,x12852)+E(f270(x12853,x12851,x12854),f270(x12853,x12852,x12854)) % 166.52/166.37 [1286]~E(x12861,x12862)+E(f270(x12863,x12864,x12861),f270(x12863,x12864,x12862)) % 166.52/166.37 [1287]~E(x12871,x12872)+E(f427(x12871,x12873,x12874,x12875,x12876),f427(x12872,x12873,x12874,x12875,x12876)) % 166.52/166.37 [1288]~E(x12881,x12882)+E(f427(x12883,x12881,x12884,x12885,x12886),f427(x12883,x12882,x12884,x12885,x12886)) % 166.52/166.37 [1289]~E(x12891,x12892)+E(f427(x12893,x12894,x12891,x12895,x12896),f427(x12893,x12894,x12892,x12895,x12896)) % 166.52/166.37 [1290]~E(x12901,x12902)+E(f427(x12903,x12904,x12905,x12901,x12906),f427(x12903,x12904,x12905,x12902,x12906)) % 166.52/166.37 [1291]~E(x12911,x12912)+E(f427(x12913,x12914,x12915,x12916,x12911),f427(x12913,x12914,x12915,x12916,x12912)) % 166.52/166.37 [1292]~E(x12921,x12922)+E(f218(x12921,x12923),f218(x12922,x12923)) % 166.52/166.37 [1293]~E(x12931,x12932)+E(f218(x12933,x12931),f218(x12933,x12932)) % 166.52/166.37 [1294]~E(x12941,x12942)+E(f369(x12941,x12943),f369(x12942,x12943)) % 166.52/166.37 [1295]~E(x12951,x12952)+E(f369(x12953,x12951),f369(x12953,x12952)) % 166.52/166.37 [1296]~E(x12961,x12962)+E(f501(x12961,x12963,x12964),f501(x12962,x12963,x12964)) % 166.52/166.37 [1297]~E(x12971,x12972)+E(f501(x12973,x12971,x12974),f501(x12973,x12972,x12974)) % 166.52/166.37 [1298]~E(x12981,x12982)+E(f501(x12983,x12984,x12981),f501(x12983,x12984,x12982)) % 166.52/166.37 [1299]~E(x12991,x12992)+E(f415(x12991,x12993,x12994,x12995,x12996,x12997),f415(x12992,x12993,x12994,x12995,x12996,x12997)) % 166.52/166.37 [1300]~E(x13001,x13002)+E(f415(x13003,x13001,x13004,x13005,x13006,x13007),f415(x13003,x13002,x13004,x13005,x13006,x13007)) % 166.52/166.37 [1301]~E(x13011,x13012)+E(f415(x13013,x13014,x13011,x13015,x13016,x13017),f415(x13013,x13014,x13012,x13015,x13016,x13017)) % 166.52/166.37 [1302]~E(x13021,x13022)+E(f415(x13023,x13024,x13025,x13021,x13026,x13027),f415(x13023,x13024,x13025,x13022,x13026,x13027)) % 166.52/166.37 [1303]~E(x13031,x13032)+E(f415(x13033,x13034,x13035,x13036,x13031,x13037),f415(x13033,x13034,x13035,x13036,x13032,x13037)) % 166.52/166.37 [1304]~E(x13041,x13042)+E(f415(x13043,x13044,x13045,x13046,x13047,x13041),f415(x13043,x13044,x13045,x13046,x13047,x13042)) % 166.52/166.37 [1305]~E(x13051,x13052)+E(f723(x13051,x13053,x13054),f723(x13052,x13053,x13054)) % 166.52/166.37 [1306]~E(x13061,x13062)+E(f723(x13063,x13061,x13064),f723(x13063,x13062,x13064)) % 166.52/166.37 [1307]~E(x13071,x13072)+E(f723(x13073,x13074,x13071),f723(x13073,x13074,x13072)) % 166.52/166.37 [1308]~E(x13081,x13082)+E(f869(x13081,x13083,x13084),f869(x13082,x13083,x13084)) % 166.52/166.37 [1309]~E(x13091,x13092)+E(f869(x13093,x13091,x13094),f869(x13093,x13092,x13094)) % 166.52/166.37 [1310]~E(x13101,x13102)+E(f869(x13103,x13104,x13101),f869(x13103,x13104,x13102)) % 166.52/166.37 [1311]~E(x13111,x13112)+E(f893(x13111,x13113),f893(x13112,x13113)) % 166.52/166.37 [1312]~E(x13121,x13122)+E(f893(x13123,x13121),f893(x13123,x13122)) % 166.52/166.37 [1313]~E(x13131,x13132)+E(f69(x13131,x13133,x13134),f69(x13132,x13133,x13134)) % 166.52/166.37 [1314]~E(x13141,x13142)+E(f69(x13143,x13141,x13144),f69(x13143,x13142,x13144)) % 166.52/166.37 [1315]~E(x13151,x13152)+E(f69(x13153,x13154,x13151),f69(x13153,x13154,x13152)) % 166.52/166.37 [1316]~E(x13161,x13162)+E(f177(x13161,x13163,x13164),f177(x13162,x13163,x13164)) % 166.52/166.37 [1317]~E(x13171,x13172)+E(f177(x13173,x13171,x13174),f177(x13173,x13172,x13174)) % 166.52/166.37 [1318]~E(x13181,x13182)+E(f177(x13183,x13184,x13181),f177(x13183,x13184,x13182)) % 166.52/166.37 [1319]~E(x13191,x13192)+E(f765(x13191,x13193,x13194,x13195,x13196),f765(x13192,x13193,x13194,x13195,x13196)) % 166.52/166.37 [1320]~E(x13201,x13202)+E(f765(x13203,x13201,x13204,x13205,x13206),f765(x13203,x13202,x13204,x13205,x13206)) % 166.52/166.37 [1321]~E(x13211,x13212)+E(f765(x13213,x13214,x13211,x13215,x13216),f765(x13213,x13214,x13212,x13215,x13216)) % 166.52/166.37 [1322]~E(x13221,x13222)+E(f765(x13223,x13224,x13225,x13221,x13226),f765(x13223,x13224,x13225,x13222,x13226)) % 166.52/166.37 [1323]~E(x13231,x13232)+E(f765(x13233,x13234,x13235,x13236,x13231),f765(x13233,x13234,x13235,x13236,x13232)) % 166.52/166.37 [1324]~E(x13241,x13242)+E(f465(x13241,x13243,x13244),f465(x13242,x13243,x13244)) % 166.52/166.37 [1325]~E(x13251,x13252)+E(f465(x13253,x13251,x13254),f465(x13253,x13252,x13254)) % 166.52/166.37 [1326]~E(x13261,x13262)+E(f465(x13263,x13264,x13261),f465(x13263,x13264,x13262)) % 166.52/166.37 [1327]~E(x13271,x13272)+E(f619(x13271,x13273,x13274,x13275),f619(x13272,x13273,x13274,x13275)) % 166.52/166.37 [1328]~E(x13281,x13282)+E(f619(x13283,x13281,x13284,x13285),f619(x13283,x13282,x13284,x13285)) % 166.52/166.37 [1329]~E(x13291,x13292)+E(f619(x13293,x13294,x13291,x13295),f619(x13293,x13294,x13292,x13295)) % 166.52/166.37 [1330]~E(x13301,x13302)+E(f619(x13303,x13304,x13305,x13301),f619(x13303,x13304,x13305,x13302)) % 166.52/166.37 [1331]~E(x13311,x13312)+E(f882(x13311,x13313,x13314),f882(x13312,x13313,x13314)) % 166.52/166.37 [1332]~E(x13321,x13322)+E(f882(x13323,x13321,x13324),f882(x13323,x13322,x13324)) % 166.52/166.37 [1333]~E(x13331,x13332)+E(f882(x13333,x13334,x13331),f882(x13333,x13334,x13332)) % 166.52/166.37 [1334]~E(x13341,x13342)+E(f817(x13341,x13343),f817(x13342,x13343)) % 166.52/166.37 [1335]~E(x13351,x13352)+E(f817(x13353,x13351),f817(x13353,x13352)) % 166.52/166.37 [1336]~E(x13361,x13362)+E(f539(x13361,x13363,x13364,x13365,x13366),f539(x13362,x13363,x13364,x13365,x13366)) % 166.52/166.37 [1337]~E(x13371,x13372)+E(f539(x13373,x13371,x13374,x13375,x13376),f539(x13373,x13372,x13374,x13375,x13376)) % 166.52/166.37 [1338]~E(x13381,x13382)+E(f539(x13383,x13384,x13381,x13385,x13386),f539(x13383,x13384,x13382,x13385,x13386)) % 166.52/166.37 [1339]~E(x13391,x13392)+E(f539(x13393,x13394,x13395,x13391,x13396),f539(x13393,x13394,x13395,x13392,x13396)) % 166.52/166.37 [1340]~E(x13401,x13402)+E(f539(x13403,x13404,x13405,x13406,x13401),f539(x13403,x13404,x13405,x13406,x13402)) % 166.52/166.37 [1341]~E(x13411,x13412)+E(f525(x13411,x13413,x13414,x13415,x13416,x13417,x13418),f525(x13412,x13413,x13414,x13415,x13416,x13417,x13418)) % 166.52/166.37 [1342]~E(x13421,x13422)+E(f525(x13423,x13421,x13424,x13425,x13426,x13427,x13428),f525(x13423,x13422,x13424,x13425,x13426,x13427,x13428)) % 166.52/166.37 [1343]~E(x13431,x13432)+E(f525(x13433,x13434,x13431,x13435,x13436,x13437,x13438),f525(x13433,x13434,x13432,x13435,x13436,x13437,x13438)) % 166.52/166.37 [1344]~E(x13441,x13442)+E(f525(x13443,x13444,x13445,x13441,x13446,x13447,x13448),f525(x13443,x13444,x13445,x13442,x13446,x13447,x13448)) % 166.52/166.37 [1345]~E(x13451,x13452)+E(f525(x13453,x13454,x13455,x13456,x13451,x13457,x13458),f525(x13453,x13454,x13455,x13456,x13452,x13457,x13458)) % 166.52/166.37 [1346]~E(x13461,x13462)+E(f525(x13463,x13464,x13465,x13466,x13467,x13461,x13468),f525(x13463,x13464,x13465,x13466,x13467,x13462,x13468)) % 166.52/166.37 [1347]~E(x13471,x13472)+E(f525(x13473,x13474,x13475,x13476,x13477,x13478,x13471),f525(x13473,x13474,x13475,x13476,x13477,x13478,x13472)) % 166.52/166.37 [1348]~E(x13481,x13482)+E(f785(x13481,x13483,x13484),f785(x13482,x13483,x13484)) % 166.52/166.37 [1349]~E(x13491,x13492)+E(f785(x13493,x13491,x13494),f785(x13493,x13492,x13494)) % 166.52/166.37 [1350]~E(x13501,x13502)+E(f785(x13503,x13504,x13501),f785(x13503,x13504,x13502)) % 166.52/166.37 [1351]~E(x13511,x13512)+E(f748(x13511,x13513),f748(x13512,x13513)) % 166.52/166.37 [1352]~E(x13521,x13522)+E(f748(x13523,x13521),f748(x13523,x13522)) % 166.52/166.37 [1353]~E(x13531,x13532)+E(f421(x13531,x13533,x13534,x13535,x13536),f421(x13532,x13533,x13534,x13535,x13536)) % 166.52/166.37 [1354]~E(x13541,x13542)+E(f421(x13543,x13541,x13544,x13545,x13546),f421(x13543,x13542,x13544,x13545,x13546)) % 166.52/166.37 [1355]~E(x13551,x13552)+E(f421(x13553,x13554,x13551,x13555,x13556),f421(x13553,x13554,x13552,x13555,x13556)) % 166.52/166.37 [1356]~E(x13561,x13562)+E(f421(x13563,x13564,x13565,x13561,x13566),f421(x13563,x13564,x13565,x13562,x13566)) % 166.52/166.37 [1357]~E(x13571,x13572)+E(f421(x13573,x13574,x13575,x13576,x13571),f421(x13573,x13574,x13575,x13576,x13572)) % 166.52/166.37 [1358]~E(x13581,x13582)+E(f847(x13581,x13583,x13584),f847(x13582,x13583,x13584)) % 166.52/166.37 [1359]~E(x13591,x13592)+E(f847(x13593,x13591,x13594),f847(x13593,x13592,x13594)) % 166.52/166.37 [1360]~E(x13601,x13602)+E(f847(x13603,x13604,x13601),f847(x13603,x13604,x13602)) % 166.52/166.37 [1361]~E(x13611,x13612)+E(f774(x13611,x13613,x13614),f774(x13612,x13613,x13614)) % 166.52/166.37 [1362]~E(x13621,x13622)+E(f774(x13623,x13621,x13624),f774(x13623,x13622,x13624)) % 166.52/166.37 [1363]~E(x13631,x13632)+E(f774(x13633,x13634,x13631),f774(x13633,x13634,x13632)) % 166.52/166.37 [1364]~E(x13641,x13642)+E(f600(x13641,x13643,x13644),f600(x13642,x13643,x13644)) % 166.52/166.37 [1365]~E(x13651,x13652)+E(f600(x13653,x13651,x13654),f600(x13653,x13652,x13654)) % 166.52/166.37 [1366]~E(x13661,x13662)+E(f600(x13663,x13664,x13661),f600(x13663,x13664,x13662)) % 166.52/166.37 [1367]~E(x13671,x13672)+E(f399(x13671,x13673,x13674,x13675,x13676),f399(x13672,x13673,x13674,x13675,x13676)) % 166.52/166.37 [1368]~E(x13681,x13682)+E(f399(x13683,x13681,x13684,x13685,x13686),f399(x13683,x13682,x13684,x13685,x13686)) % 166.52/166.37 [1369]~E(x13691,x13692)+E(f399(x13693,x13694,x13691,x13695,x13696),f399(x13693,x13694,x13692,x13695,x13696)) % 166.52/166.37 [1370]~E(x13701,x13702)+E(f399(x13703,x13704,x13705,x13701,x13706),f399(x13703,x13704,x13705,x13702,x13706)) % 166.52/166.37 [1371]~E(x13711,x13712)+E(f399(x13713,x13714,x13715,x13716,x13711),f399(x13713,x13714,x13715,x13716,x13712)) % 166.52/166.37 [1372]~E(x13721,x13722)+E(f68(x13721,x13723,x13724),f68(x13722,x13723,x13724)) % 166.52/166.37 [1373]~E(x13731,x13732)+E(f68(x13733,x13731,x13734),f68(x13733,x13732,x13734)) % 166.52/166.37 [1374]~E(x13741,x13742)+E(f68(x13743,x13744,x13741),f68(x13743,x13744,x13742)) % 166.52/166.37 [1375]~E(x13751,x13752)+E(f531(x13751),f531(x13752)) % 166.52/166.37 [1376]~E(x13761,x13762)+E(f390(x13761,x13763),f390(x13762,x13763)) % 166.52/166.37 [1377]~E(x13771,x13772)+E(f390(x13773,x13771),f390(x13773,x13772)) % 166.52/166.37 [1378]~E(x13781,x13782)+E(f578(x13781,x13783,x13784),f578(x13782,x13783,x13784)) % 166.52/166.37 [1379]~E(x13791,x13792)+E(f578(x13793,x13791,x13794),f578(x13793,x13792,x13794)) % 166.52/166.37 [1380]~E(x13801,x13802)+E(f578(x13803,x13804,x13801),f578(x13803,x13804,x13802)) % 166.52/166.37 [1381]~E(x13811,x13812)+E(f655(x13811,x13813,x13814,x13815),f655(x13812,x13813,x13814,x13815)) % 166.52/166.37 [1382]~E(x13821,x13822)+E(f655(x13823,x13821,x13824,x13825),f655(x13823,x13822,x13824,x13825)) % 166.52/166.37 [1383]~E(x13831,x13832)+E(f655(x13833,x13834,x13831,x13835),f655(x13833,x13834,x13832,x13835)) % 166.52/166.37 [1384]~E(x13841,x13842)+E(f655(x13843,x13844,x13845,x13841),f655(x13843,x13844,x13845,x13842)) % 166.52/166.37 [1385]~E(x13851,x13852)+E(f824(x13851,x13853,x13854,x13855),f824(x13852,x13853,x13854,x13855)) % 166.52/166.37 [1386]~E(x13861,x13862)+E(f824(x13863,x13861,x13864,x13865),f824(x13863,x13862,x13864,x13865)) % 166.52/166.37 [1387]~E(x13871,x13872)+E(f824(x13873,x13874,x13871,x13875),f824(x13873,x13874,x13872,x13875)) % 166.52/166.37 [1388]~E(x13881,x13882)+E(f824(x13883,x13884,x13885,x13881),f824(x13883,x13884,x13885,x13882)) % 166.52/166.37 [1389]~E(x13891,x13892)+E(f872(x13891,x13893,x13894,x13895,x13896),f872(x13892,x13893,x13894,x13895,x13896)) % 166.52/166.37 [1390]~E(x13901,x13902)+E(f872(x13903,x13901,x13904,x13905,x13906),f872(x13903,x13902,x13904,x13905,x13906)) % 166.52/166.37 [1391]~E(x13911,x13912)+E(f872(x13913,x13914,x13911,x13915,x13916),f872(x13913,x13914,x13912,x13915,x13916)) % 166.52/166.37 [1392]~E(x13921,x13922)+E(f872(x13923,x13924,x13925,x13921,x13926),f872(x13923,x13924,x13925,x13922,x13926)) % 166.52/166.37 [1393]~E(x13931,x13932)+E(f872(x13933,x13934,x13935,x13936,x13931),f872(x13933,x13934,x13935,x13936,x13932)) % 166.52/166.37 [1394]~E(x13941,x13942)+E(f780(x13941,x13943,x13944),f780(x13942,x13943,x13944)) % 166.52/166.37 [1395]~E(x13951,x13952)+E(f780(x13953,x13951,x13954),f780(x13953,x13952,x13954)) % 166.52/166.37 [1396]~E(x13961,x13962)+E(f780(x13963,x13964,x13961),f780(x13963,x13964,x13962)) % 166.52/166.37 [1397]~E(x13971,x13972)+E(f255(x13971,x13973,x13974),f255(x13972,x13973,x13974)) % 166.52/166.37 [1398]~E(x13981,x13982)+E(f255(x13983,x13981,x13984),f255(x13983,x13982,x13984)) % 166.52/166.37 [1399]~E(x13991,x13992)+E(f255(x13993,x13994,x13991),f255(x13993,x13994,x13992)) % 166.52/166.37 [1400]~E(x14001,x14002)+E(f511(x14001,x14003,x14004),f511(x14002,x14003,x14004)) % 166.52/166.37 [1401]~E(x14011,x14012)+E(f511(x14013,x14011,x14014),f511(x14013,x14012,x14014)) % 166.52/166.37 [1402]~E(x14021,x14022)+E(f511(x14023,x14024,x14021),f511(x14023,x14024,x14022)) % 166.52/166.37 [1403]~E(x14031,x14032)+E(f202(x14031,x14033,x14034,x14035),f202(x14032,x14033,x14034,x14035)) % 166.52/166.37 [1404]~E(x14041,x14042)+E(f202(x14043,x14041,x14044,x14045),f202(x14043,x14042,x14044,x14045)) % 166.52/166.37 [1405]~E(x14051,x14052)+E(f202(x14053,x14054,x14051,x14055),f202(x14053,x14054,x14052,x14055)) % 166.52/166.37 [1406]~E(x14061,x14062)+E(f202(x14063,x14064,x14065,x14061),f202(x14063,x14064,x14065,x14062)) % 166.52/166.37 [1407]~E(x14071,x14072)+E(f494(x14071,x14073,x14074),f494(x14072,x14073,x14074)) % 166.52/166.37 [1408]~E(x14081,x14082)+E(f494(x14083,x14081,x14084),f494(x14083,x14082,x14084)) % 166.52/166.37 [1409]~E(x14091,x14092)+E(f494(x14093,x14094,x14091),f494(x14093,x14094,x14092)) % 166.52/166.37 [1410]~E(x14101,x14102)+E(f897(x14101,x14103,x14104,x14105,x14106),f897(x14102,x14103,x14104,x14105,x14106)) % 166.52/166.37 [1411]~E(x14111,x14112)+E(f897(x14113,x14111,x14114,x14115,x14116),f897(x14113,x14112,x14114,x14115,x14116)) % 166.52/166.37 [1412]~E(x14121,x14122)+E(f897(x14123,x14124,x14121,x14125,x14126),f897(x14123,x14124,x14122,x14125,x14126)) % 166.52/166.37 [1413]~E(x14131,x14132)+E(f897(x14133,x14134,x14135,x14131,x14136),f897(x14133,x14134,x14135,x14132,x14136)) % 166.52/166.37 [1414]~E(x14141,x14142)+E(f897(x14143,x14144,x14145,x14146,x14141),f897(x14143,x14144,x14145,x14146,x14142)) % 166.52/166.37 [1415]~E(x14151,x14152)+E(f836(x14151,x14153,x14154),f836(x14152,x14153,x14154)) % 166.52/166.37 [1416]~E(x14161,x14162)+E(f836(x14163,x14161,x14164),f836(x14163,x14162,x14164)) % 166.52/166.37 [1417]~E(x14171,x14172)+E(f836(x14173,x14174,x14171),f836(x14173,x14174,x14172)) % 166.52/166.37 [1418]~E(x14181,x14182)+E(f613(x14181,x14183,x14184),f613(x14182,x14183,x14184)) % 166.52/166.37 [1419]~E(x14191,x14192)+E(f613(x14193,x14191,x14194),f613(x14193,x14192,x14194)) % 166.52/166.37 [1420]~E(x14201,x14202)+E(f613(x14203,x14204,x14201),f613(x14203,x14204,x14202)) % 166.52/166.37 [1421]~E(x14211,x14212)+E(f365(x14211,x14213,x14214),f365(x14212,x14213,x14214)) % 166.52/166.37 [1422]~E(x14221,x14222)+E(f365(x14223,x14221,x14224),f365(x14223,x14222,x14224)) % 166.52/166.37 [1423]~E(x14231,x14232)+E(f365(x14233,x14234,x14231),f365(x14233,x14234,x14232)) % 166.52/166.37 [1424]~E(x14241,x14242)+E(f859(x14241,x14243,x14244),f859(x14242,x14243,x14244)) % 166.52/166.37 [1425]~E(x14251,x14252)+E(f859(x14253,x14251,x14254),f859(x14253,x14252,x14254)) % 166.52/166.37 [1426]~E(x14261,x14262)+E(f859(x14263,x14264,x14261),f859(x14263,x14264,x14262)) % 166.52/166.37 [1427]~E(x14271,x14272)+E(f207(x14271,x14273,x14274),f207(x14272,x14273,x14274)) % 166.52/166.37 [1428]~E(x14281,x14282)+E(f207(x14283,x14281,x14284),f207(x14283,x14282,x14284)) % 166.52/166.37 [1429]~E(x14291,x14292)+E(f207(x14293,x14294,x14291),f207(x14293,x14294,x14292)) % 166.52/166.37 [1430]~E(x14301,x14302)+E(f650(x14301,x14303,x14304,x14305),f650(x14302,x14303,x14304,x14305)) % 166.52/166.37 [1431]~E(x14311,x14312)+E(f650(x14313,x14311,x14314,x14315),f650(x14313,x14312,x14314,x14315)) % 166.52/166.37 [1432]~E(x14321,x14322)+E(f650(x14323,x14324,x14321,x14325),f650(x14323,x14324,x14322,x14325)) % 166.52/166.37 [1433]~E(x14331,x14332)+E(f650(x14333,x14334,x14335,x14331),f650(x14333,x14334,x14335,x14332)) % 166.52/166.37 [1434]~E(x14341,x14342)+E(f351(x14341),f351(x14342)) % 166.52/166.37 [1435]~E(x14351,x14352)+E(f510(x14351,x14353,x14354),f510(x14352,x14353,x14354)) % 166.52/166.37 [1436]~E(x14361,x14362)+E(f510(x14363,x14361,x14364),f510(x14363,x14362,x14364)) % 166.52/166.37 [1437]~E(x14371,x14372)+E(f510(x14373,x14374,x14371),f510(x14373,x14374,x14372)) % 166.52/166.37 [1438]~E(x14381,x14382)+E(f623(x14381,x14383,x14384,x14385,x14386),f623(x14382,x14383,x14384,x14385,x14386)) % 166.52/166.37 [1439]~E(x14391,x14392)+E(f623(x14393,x14391,x14394,x14395,x14396),f623(x14393,x14392,x14394,x14395,x14396)) % 166.52/166.37 [1440]~E(x14401,x14402)+E(f623(x14403,x14404,x14401,x14405,x14406),f623(x14403,x14404,x14402,x14405,x14406)) % 166.52/166.37 [1441]~E(x14411,x14412)+E(f623(x14413,x14414,x14415,x14411,x14416),f623(x14413,x14414,x14415,x14412,x14416)) % 166.52/166.37 [1442]~E(x14421,x14422)+E(f623(x14423,x14424,x14425,x14426,x14421),f623(x14423,x14424,x14425,x14426,x14422)) % 166.52/166.37 [1443]~E(x14431,x14432)+E(f426(x14431,x14433,x14434,x14435,x14436),f426(x14432,x14433,x14434,x14435,x14436)) % 166.52/166.37 [1444]~E(x14441,x14442)+E(f426(x14443,x14441,x14444,x14445,x14446),f426(x14443,x14442,x14444,x14445,x14446)) % 166.52/166.37 [1445]~E(x14451,x14452)+E(f426(x14453,x14454,x14451,x14455,x14456),f426(x14453,x14454,x14452,x14455,x14456)) % 166.52/166.37 [1446]~E(x14461,x14462)+E(f426(x14463,x14464,x14465,x14461,x14466),f426(x14463,x14464,x14465,x14462,x14466)) % 166.52/166.37 [1447]~E(x14471,x14472)+E(f426(x14473,x14474,x14475,x14476,x14471),f426(x14473,x14474,x14475,x14476,x14472)) % 166.52/166.37 [1448]~E(x14481,x14482)+E(f663(x14481,x14483,x14484,x14485),f663(x14482,x14483,x14484,x14485)) % 166.52/166.37 [1449]~E(x14491,x14492)+E(f663(x14493,x14491,x14494,x14495),f663(x14493,x14492,x14494,x14495)) % 166.52/166.37 [1450]~E(x14501,x14502)+E(f663(x14503,x14504,x14501,x14505),f663(x14503,x14504,x14502,x14505)) % 166.52/166.37 [1451]~E(x14511,x14512)+E(f663(x14513,x14514,x14515,x14511),f663(x14513,x14514,x14515,x14512)) % 166.52/166.37 [1452]~E(x14521,x14522)+E(f690(x14521,x14523),f690(x14522,x14523)) % 166.52/166.37 [1453]~E(x14531,x14532)+E(f690(x14533,x14531),f690(x14533,x14532)) % 166.52/166.37 [1454]~E(x14541,x14542)+E(f302(x14541,x14543,x14544,x14545,x14546),f302(x14542,x14543,x14544,x14545,x14546)) % 166.52/166.37 [1455]~E(x14551,x14552)+E(f302(x14553,x14551,x14554,x14555,x14556),f302(x14553,x14552,x14554,x14555,x14556)) % 166.52/166.37 [1456]~E(x14561,x14562)+E(f302(x14563,x14564,x14561,x14565,x14566),f302(x14563,x14564,x14562,x14565,x14566)) % 166.52/166.37 [1457]~E(x14571,x14572)+E(f302(x14573,x14574,x14575,x14571,x14576),f302(x14573,x14574,x14575,x14572,x14576)) % 166.52/166.37 [1458]~E(x14581,x14582)+E(f302(x14583,x14584,x14585,x14586,x14581),f302(x14583,x14584,x14585,x14586,x14582)) % 166.52/166.37 [1459]~E(x14591,x14592)+E(f477(x14591,x14593,x14594),f477(x14592,x14593,x14594)) % 166.52/166.37 [1460]~E(x14601,x14602)+E(f477(x14603,x14601,x14604),f477(x14603,x14602,x14604)) % 166.52/166.37 [1461]~E(x14611,x14612)+E(f477(x14613,x14614,x14611),f477(x14613,x14614,x14612)) % 166.52/166.37 [1462]~E(x14621,x14622)+E(f806(x14621,x14623),f806(x14622,x14623)) % 166.52/166.37 [1463]~E(x14631,x14632)+E(f806(x14633,x14631),f806(x14633,x14632)) % 166.52/166.37 [1464]~E(x14641,x14642)+E(f633(x14641,x14643,x14644,x14645,x14646),f633(x14642,x14643,x14644,x14645,x14646)) % 166.52/166.37 [1465]~E(x14651,x14652)+E(f633(x14653,x14651,x14654,x14655,x14656),f633(x14653,x14652,x14654,x14655,x14656)) % 166.52/166.37 [1466]~E(x14661,x14662)+E(f633(x14663,x14664,x14661,x14665,x14666),f633(x14663,x14664,x14662,x14665,x14666)) % 166.52/166.37 [1467]~E(x14671,x14672)+E(f633(x14673,x14674,x14675,x14671,x14676),f633(x14673,x14674,x14675,x14672,x14676)) % 166.52/166.37 [1468]~E(x14681,x14682)+E(f633(x14683,x14684,x14685,x14686,x14681),f633(x14683,x14684,x14685,x14686,x14682)) % 166.52/166.37 [1469]~E(x14691,x14692)+E(f693(x14691,x14693,x14694,x14695),f693(x14692,x14693,x14694,x14695)) % 166.52/166.37 [1470]~E(x14701,x14702)+E(f693(x14703,x14701,x14704,x14705),f693(x14703,x14702,x14704,x14705)) % 166.52/166.37 [1471]~E(x14711,x14712)+E(f693(x14713,x14714,x14711,x14715),f693(x14713,x14714,x14712,x14715)) % 166.52/166.37 [1472]~E(x14721,x14722)+E(f693(x14723,x14724,x14725,x14721),f693(x14723,x14724,x14725,x14722)) % 166.52/166.37 [1473]~E(x14731,x14732)+E(f472(x14731,x14733,x14734,x14735,x14736),f472(x14732,x14733,x14734,x14735,x14736)) % 166.52/166.37 [1474]~E(x14741,x14742)+E(f472(x14743,x14741,x14744,x14745,x14746),f472(x14743,x14742,x14744,x14745,x14746)) % 166.52/166.37 [1475]~E(x14751,x14752)+E(f472(x14753,x14754,x14751,x14755,x14756),f472(x14753,x14754,x14752,x14755,x14756)) % 166.52/166.37 [1476]~E(x14761,x14762)+E(f472(x14763,x14764,x14765,x14761,x14766),f472(x14763,x14764,x14765,x14762,x14766)) % 166.52/166.37 [1477]~E(x14771,x14772)+E(f472(x14773,x14774,x14775,x14776,x14771),f472(x14773,x14774,x14775,x14776,x14772)) % 166.52/166.37 [1478]~E(x14781,x14782)+E(f395(x14781,x14783,x14784),f395(x14782,x14783,x14784)) % 166.52/166.37 [1479]~E(x14791,x14792)+E(f395(x14793,x14791,x14794),f395(x14793,x14792,x14794)) % 166.52/166.37 [1480]~E(x14801,x14802)+E(f395(x14803,x14804,x14801),f395(x14803,x14804,x14802)) % 166.52/166.37 [1481]~E(x14811,x14812)+E(f855(x14811,x14813,x14814),f855(x14812,x14813,x14814)) % 166.52/166.37 [1482]~E(x14821,x14822)+E(f855(x14823,x14821,x14824),f855(x14823,x14822,x14824)) % 166.52/166.37 [1483]~E(x14831,x14832)+E(f855(x14833,x14834,x14831),f855(x14833,x14834,x14832)) % 166.52/166.37 [1484]~E(x14841,x14842)+E(f825(x14841,x14843,x14844,x14845,x14846),f825(x14842,x14843,x14844,x14845,x14846)) % 166.52/166.37 [1485]~E(x14851,x14852)+E(f825(x14853,x14851,x14854,x14855,x14856),f825(x14853,x14852,x14854,x14855,x14856)) % 166.52/166.37 [1486]~E(x14861,x14862)+E(f825(x14863,x14864,x14861,x14865,x14866),f825(x14863,x14864,x14862,x14865,x14866)) % 166.52/166.37 [1487]~E(x14871,x14872)+E(f825(x14873,x14874,x14875,x14871,x14876),f825(x14873,x14874,x14875,x14872,x14876)) % 166.52/166.37 [1488]~E(x14881,x14882)+E(f825(x14883,x14884,x14885,x14886,x14881),f825(x14883,x14884,x14885,x14886,x14882)) % 166.52/166.37 [1489]~E(x14891,x14892)+E(f149(x14891,x14893),f149(x14892,x14893)) % 166.52/166.37 [1490]~E(x14901,x14902)+E(f149(x14903,x14901),f149(x14903,x14902)) % 166.52/166.37 [1491]~E(x14911,x14912)+E(f777(x14911,x14913,x14914),f777(x14912,x14913,x14914)) % 166.52/166.37 [1492]~E(x14921,x14922)+E(f777(x14923,x14921,x14924),f777(x14923,x14922,x14924)) % 166.52/166.37 [1493]~E(x14931,x14932)+E(f777(x14933,x14934,x14931),f777(x14933,x14934,x14932)) % 166.52/166.37 [1494]~E(x14941,x14942)+E(f590(x14941,x14943,x14944,x14945,x14946),f590(x14942,x14943,x14944,x14945,x14946)) % 166.52/166.37 [1495]~E(x14951,x14952)+E(f590(x14953,x14951,x14954,x14955,x14956),f590(x14953,x14952,x14954,x14955,x14956)) % 166.52/166.37 [1496]~E(x14961,x14962)+E(f590(x14963,x14964,x14961,x14965,x14966),f590(x14963,x14964,x14962,x14965,x14966)) % 166.52/166.37 [1497]~E(x14971,x14972)+E(f590(x14973,x14974,x14975,x14971,x14976),f590(x14973,x14974,x14975,x14972,x14976)) % 166.52/166.37 [1498]~E(x14981,x14982)+E(f590(x14983,x14984,x14985,x14986,x14981),f590(x14983,x14984,x14985,x14986,x14982)) % 166.52/166.37 [1499]~E(x14991,x14992)+E(f435(x14991,x14993,x14994),f435(x14992,x14993,x14994)) % 166.52/166.37 [1500]~E(x15001,x15002)+E(f435(x15003,x15001,x15004),f435(x15003,x15002,x15004)) % 166.52/166.37 [1501]~E(x15011,x15012)+E(f435(x15013,x15014,x15011),f435(x15013,x15014,x15012)) % 166.52/166.37 [1502]~E(x15021,x15022)+E(f420(x15021,x15023,x15024,x15025),f420(x15022,x15023,x15024,x15025)) % 166.52/166.37 [1503]~E(x15031,x15032)+E(f420(x15033,x15031,x15034,x15035),f420(x15033,x15032,x15034,x15035)) % 166.52/166.37 [1504]~E(x15041,x15042)+E(f420(x15043,x15044,x15041,x15045),f420(x15043,x15044,x15042,x15045)) % 166.52/166.37 [1505]~E(x15051,x15052)+E(f420(x15053,x15054,x15055,x15051),f420(x15053,x15054,x15055,x15052)) % 166.52/166.37 [1506]~E(x15061,x15062)+E(f637(x15061,x15063,x15064,x15065),f637(x15062,x15063,x15064,x15065)) % 166.52/166.37 [1507]~E(x15071,x15072)+E(f637(x15073,x15071,x15074,x15075),f637(x15073,x15072,x15074,x15075)) % 166.52/166.37 [1508]~E(x15081,x15082)+E(f637(x15083,x15084,x15081,x15085),f637(x15083,x15084,x15082,x15085)) % 166.52/166.37 [1509]~E(x15091,x15092)+E(f637(x15093,x15094,x15095,x15091),f637(x15093,x15094,x15095,x15092)) % 166.52/166.37 [1510]~E(x15101,x15102)+E(f484(x15101,x15103,x15104),f484(x15102,x15103,x15104)) % 166.52/166.37 [1511]~E(x15111,x15112)+E(f484(x15113,x15111,x15114),f484(x15113,x15112,x15114)) % 166.52/166.37 [1512]~E(x15121,x15122)+E(f484(x15123,x15124,x15121),f484(x15123,x15124,x15122)) % 166.52/166.37 [1513]~E(x15131,x15132)+E(f215(x15131,x15133,x15134,x15135,x15136,x15137,x15138),f215(x15132,x15133,x15134,x15135,x15136,x15137,x15138)) % 166.52/166.37 [1514]~E(x15141,x15142)+E(f215(x15143,x15141,x15144,x15145,x15146,x15147,x15148),f215(x15143,x15142,x15144,x15145,x15146,x15147,x15148)) % 166.52/166.37 [1515]~E(x15151,x15152)+E(f215(x15153,x15154,x15151,x15155,x15156,x15157,x15158),f215(x15153,x15154,x15152,x15155,x15156,x15157,x15158)) % 166.52/166.37 [1516]~E(x15161,x15162)+E(f215(x15163,x15164,x15165,x15161,x15166,x15167,x15168),f215(x15163,x15164,x15165,x15162,x15166,x15167,x15168)) % 166.52/166.37 [1517]~E(x15171,x15172)+E(f215(x15173,x15174,x15175,x15176,x15171,x15177,x15178),f215(x15173,x15174,x15175,x15176,x15172,x15177,x15178)) % 166.52/166.37 [1518]~E(x15181,x15182)+E(f215(x15183,x15184,x15185,x15186,x15187,x15181,x15188),f215(x15183,x15184,x15185,x15186,x15187,x15182,x15188)) % 166.52/166.37 [1519]~E(x15191,x15192)+E(f215(x15193,x15194,x15195,x15196,x15197,x15198,x15191),f215(x15193,x15194,x15195,x15196,x15197,x15198,x15192)) % 166.52/166.37 [1520]~E(x15201,x15202)+E(f341(x15201,x15203),f341(x15202,x15203)) % 166.52/166.37 [1521]~E(x15211,x15212)+E(f341(x15213,x15211),f341(x15213,x15212)) % 166.52/166.37 [1522]~E(x15221,x15222)+E(f686(x15221,x15223,x15224),f686(x15222,x15223,x15224)) % 166.52/166.37 [1523]~E(x15231,x15232)+E(f686(x15233,x15231,x15234),f686(x15233,x15232,x15234)) % 166.52/166.37 [1524]~E(x15241,x15242)+E(f686(x15243,x15244,x15241),f686(x15243,x15244,x15242)) % 166.52/166.37 [1525]~E(x15251,x15252)+E(f587(x15251,x15253,x15254),f587(x15252,x15253,x15254)) % 166.52/166.37 [1526]~E(x15261,x15262)+E(f587(x15263,x15261,x15264),f587(x15263,x15262,x15264)) % 166.52/166.37 [1527]~E(x15271,x15272)+E(f587(x15273,x15274,x15271),f587(x15273,x15274,x15272)) % 166.52/166.37 [1528]~E(x15281,x15282)+E(f739(x15281,x15283),f739(x15282,x15283)) % 166.52/166.37 [1529]~E(x15291,x15292)+E(f739(x15293,x15291),f739(x15293,x15292)) % 166.52/166.37 [1530]~E(x15301,x15302)+E(f583(x15301,x15303,x15304),f583(x15302,x15303,x15304)) % 166.52/166.37 [1531]~E(x15311,x15312)+E(f583(x15313,x15311,x15314),f583(x15313,x15312,x15314)) % 166.52/166.37 [1532]~E(x15321,x15322)+E(f583(x15323,x15324,x15321),f583(x15323,x15324,x15322)) % 166.52/166.37 [1533]~E(x15331,x15332)+E(f833(x15331,x15333),f833(x15332,x15333)) % 166.52/166.37 [1534]~E(x15341,x15342)+E(f833(x15343,x15341),f833(x15343,x15342)) % 166.52/166.37 [1535]~E(x15351,x15352)+E(f382(x15351,x15353,x15354,x15355),f382(x15352,x15353,x15354,x15355)) % 166.52/166.37 [1536]~E(x15361,x15362)+E(f382(x15363,x15361,x15364,x15365),f382(x15363,x15362,x15364,x15365)) % 166.52/166.37 [1537]~E(x15371,x15372)+E(f382(x15373,x15374,x15371,x15375),f382(x15373,x15374,x15372,x15375)) % 166.52/166.37 [1538]~E(x15381,x15382)+E(f382(x15383,x15384,x15385,x15381),f382(x15383,x15384,x15385,x15382)) % 166.52/166.37 [1539]~E(x15391,x15392)+E(f352(x15391,x15393,x15394,x15395),f352(x15392,x15393,x15394,x15395)) % 166.52/166.37 [1540]~E(x15401,x15402)+E(f352(x15403,x15401,x15404,x15405),f352(x15403,x15402,x15404,x15405)) % 166.52/166.37 [1541]~E(x15411,x15412)+E(f352(x15413,x15414,x15411,x15415),f352(x15413,x15414,x15412,x15415)) % 166.52/166.37 [1542]~E(x15421,x15422)+E(f352(x15423,x15424,x15425,x15421),f352(x15423,x15424,x15425,x15422)) % 166.52/166.37 [1543]~E(x15431,x15432)+E(f407(x15431,x15433,x15434,x15435),f407(x15432,x15433,x15434,x15435)) % 166.52/166.37 [1544]~E(x15441,x15442)+E(f407(x15443,x15441,x15444,x15445),f407(x15443,x15442,x15444,x15445)) % 166.52/166.37 [1545]~E(x15451,x15452)+E(f407(x15453,x15454,x15451,x15455),f407(x15453,x15454,x15452,x15455)) % 166.52/166.37 [1546]~E(x15461,x15462)+E(f407(x15463,x15464,x15465,x15461),f407(x15463,x15464,x15465,x15462)) % 166.52/166.37 [1547]~E(x15471,x15472)+E(f224(x15471,x15473,x15474,x15475),f224(x15472,x15473,x15474,x15475)) % 166.52/166.37 [1548]~E(x15481,x15482)+E(f224(x15483,x15481,x15484,x15485),f224(x15483,x15482,x15484,x15485)) % 166.52/166.37 [1549]~E(x15491,x15492)+E(f224(x15493,x15494,x15491,x15495),f224(x15493,x15494,x15492,x15495)) % 166.52/166.37 [1550]~E(x15501,x15502)+E(f224(x15503,x15504,x15505,x15501),f224(x15503,x15504,x15505,x15502)) % 166.52/166.37 [1551]~E(x15511,x15512)+E(f201(x15511,x15513,x15514,x15515),f201(x15512,x15513,x15514,x15515)) % 166.52/166.37 [1552]~E(x15521,x15522)+E(f201(x15523,x15521,x15524,x15525),f201(x15523,x15522,x15524,x15525)) % 166.52/166.37 [1553]~E(x15531,x15532)+E(f201(x15533,x15534,x15531,x15535),f201(x15533,x15534,x15532,x15535)) % 166.52/166.37 [1554]~E(x15541,x15542)+E(f201(x15543,x15544,x15545,x15541),f201(x15543,x15544,x15545,x15542)) % 166.52/166.37 [1555]~E(x15551,x15552)+E(f455(x15551,x15553),f455(x15552,x15553)) % 166.52/166.37 [1556]~E(x15561,x15562)+E(f455(x15563,x15561),f455(x15563,x15562)) % 166.52/166.37 [1557]~E(x15571,x15572)+E(f300(x15571,x15573,x15574),f300(x15572,x15573,x15574)) % 166.52/166.37 [1558]~E(x15581,x15582)+E(f300(x15583,x15581,x15584),f300(x15583,x15582,x15584)) % 166.52/166.37 [1559]~E(x15591,x15592)+E(f300(x15593,x15594,x15591),f300(x15593,x15594,x15592)) % 166.52/166.37 [1560]~E(x15601,x15602)+E(f458(x15601,x15603,x15604,x15605),f458(x15602,x15603,x15604,x15605)) % 166.52/166.37 [1561]~E(x15611,x15612)+E(f458(x15613,x15611,x15614,x15615),f458(x15613,x15612,x15614,x15615)) % 166.52/166.37 [1562]~E(x15621,x15622)+E(f458(x15623,x15624,x15621,x15625),f458(x15623,x15624,x15622,x15625)) % 166.52/166.37 [1563]~E(x15631,x15632)+E(f458(x15633,x15634,x15635,x15631),f458(x15633,x15634,x15635,x15632)) % 166.52/166.37 [1564]~E(x15641,x15642)+E(f505(x15641,x15643,x15644,x15645,x15646,x15647,x15648),f505(x15642,x15643,x15644,x15645,x15646,x15647,x15648)) % 166.52/166.37 [1565]~E(x15651,x15652)+E(f505(x15653,x15651,x15654,x15655,x15656,x15657,x15658),f505(x15653,x15652,x15654,x15655,x15656,x15657,x15658)) % 166.52/166.37 [1566]~E(x15661,x15662)+E(f505(x15663,x15664,x15661,x15665,x15666,x15667,x15668),f505(x15663,x15664,x15662,x15665,x15666,x15667,x15668)) % 166.52/166.37 [1567]~E(x15671,x15672)+E(f505(x15673,x15674,x15675,x15671,x15676,x15677,x15678),f505(x15673,x15674,x15675,x15672,x15676,x15677,x15678)) % 166.52/166.37 [1568]~E(x15681,x15682)+E(f505(x15683,x15684,x15685,x15686,x15681,x15687,x15688),f505(x15683,x15684,x15685,x15686,x15682,x15687,x15688)) % 166.52/166.37 [1569]~E(x15691,x15692)+E(f505(x15693,x15694,x15695,x15696,x15697,x15691,x15698),f505(x15693,x15694,x15695,x15696,x15697,x15692,x15698)) % 166.52/166.37 [1570]~E(x15701,x15702)+E(f505(x15703,x15704,x15705,x15706,x15707,x15708,x15701),f505(x15703,x15704,x15705,x15706,x15707,x15708,x15702)) % 166.52/166.37 [1571]~E(x15711,x15712)+E(f598(x15711,x15713,x15714),f598(x15712,x15713,x15714)) % 166.52/166.37 [1572]~E(x15721,x15722)+E(f598(x15723,x15721,x15724),f598(x15723,x15722,x15724)) % 166.52/166.37 [1573]~E(x15731,x15732)+E(f598(x15733,x15734,x15731),f598(x15733,x15734,x15732)) % 166.52/166.37 [1574]~E(x15741,x15742)+E(f792(x15741,x15743,x15744,x15745),f792(x15742,x15743,x15744,x15745)) % 166.52/166.37 [1575]~E(x15751,x15752)+E(f792(x15753,x15751,x15754,x15755),f792(x15753,x15752,x15754,x15755)) % 166.52/166.37 [1576]~E(x15761,x15762)+E(f792(x15763,x15764,x15761,x15765),f792(x15763,x15764,x15762,x15765)) % 166.52/166.37 [1577]~E(x15771,x15772)+E(f792(x15773,x15774,x15775,x15771),f792(x15773,x15774,x15775,x15772)) % 166.52/166.37 [1578]~E(x15781,x15782)+E(f553(x15781,x15783,x15784),f553(x15782,x15783,x15784)) % 166.52/166.37 [1579]~E(x15791,x15792)+E(f553(x15793,x15791,x15794),f553(x15793,x15792,x15794)) % 166.52/166.37 [1580]~E(x15801,x15802)+E(f553(x15803,x15804,x15801),f553(x15803,x15804,x15802)) % 166.52/166.37 [1581]~E(x15811,x15812)+E(f396(x15811,x15813,x15814),f396(x15812,x15813,x15814)) % 166.52/166.37 [1582]~E(x15821,x15822)+E(f396(x15823,x15821,x15824),f396(x15823,x15822,x15824)) % 166.52/166.37 [1583]~E(x15831,x15832)+E(f396(x15833,x15834,x15831),f396(x15833,x15834,x15832)) % 166.52/166.37 [1584]~E(x15841,x15842)+E(f127(x15841),f127(x15842)) % 166.52/166.37 [1585]~E(x15851,x15852)+E(f431(x15851,x15853,x15854,x15855),f431(x15852,x15853,x15854,x15855)) % 166.52/166.37 [1586]~E(x15861,x15862)+E(f431(x15863,x15861,x15864,x15865),f431(x15863,x15862,x15864,x15865)) % 166.52/166.37 [1587]~E(x15871,x15872)+E(f431(x15873,x15874,x15871,x15875),f431(x15873,x15874,x15872,x15875)) % 166.52/166.37 [1588]~E(x15881,x15882)+E(f431(x15883,x15884,x15885,x15881),f431(x15883,x15884,x15885,x15882)) % 166.52/166.37 [1589]~E(x15891,x15892)+E(f409(x15891,x15893),f409(x15892,x15893)) % 166.52/166.37 [1590]~E(x15901,x15902)+E(f409(x15903,x15901),f409(x15903,x15902)) % 166.52/166.37 [1591]~E(x15911,x15912)+E(f840(x15911,x15913,x15914,x15915,x15916,x15917),f840(x15912,x15913,x15914,x15915,x15916,x15917)) % 166.52/166.37 [1592]~E(x15921,x15922)+E(f840(x15923,x15921,x15924,x15925,x15926,x15927),f840(x15923,x15922,x15924,x15925,x15926,x15927)) % 166.52/166.37 [1593]~E(x15931,x15932)+E(f840(x15933,x15934,x15931,x15935,x15936,x15937),f840(x15933,x15934,x15932,x15935,x15936,x15937)) % 166.52/166.37 [1594]~E(x15941,x15942)+E(f840(x15943,x15944,x15945,x15941,x15946,x15947),f840(x15943,x15944,x15945,x15942,x15946,x15947)) % 166.52/166.37 [1595]~E(x15951,x15952)+E(f840(x15953,x15954,x15955,x15956,x15951,x15957),f840(x15953,x15954,x15955,x15956,x15952,x15957)) % 166.52/166.37 [1596]~E(x15961,x15962)+E(f840(x15963,x15964,x15965,x15966,x15967,x15961),f840(x15963,x15964,x15965,x15966,x15967,x15962)) % 166.52/166.37 [1597]~E(x15971,x15972)+E(f584(x15971,x15973,x15974),f584(x15972,x15973,x15974)) % 166.52/166.37 [1598]~E(x15981,x15982)+E(f584(x15983,x15981,x15984),f584(x15983,x15982,x15984)) % 166.52/166.37 [1599]~E(x15991,x15992)+E(f584(x15993,x15994,x15991),f584(x15993,x15994,x15992)) % 166.52/166.37 [1600]~E(x16001,x16002)+E(f449(x16001,x16003),f449(x16002,x16003)) % 166.52/166.37 [1601]~E(x16011,x16012)+E(f449(x16013,x16011),f449(x16013,x16012)) % 166.52/166.37 [1602]~E(x16021,x16022)+E(f425(x16021,x16023,x16024,x16025,x16026),f425(x16022,x16023,x16024,x16025,x16026)) % 166.52/166.37 [1603]~E(x16031,x16032)+E(f425(x16033,x16031,x16034,x16035,x16036),f425(x16033,x16032,x16034,x16035,x16036)) % 166.52/166.37 [1604]~E(x16041,x16042)+E(f425(x16043,x16044,x16041,x16045,x16046),f425(x16043,x16044,x16042,x16045,x16046)) % 166.52/166.37 [1605]~E(x16051,x16052)+E(f425(x16053,x16054,x16055,x16051,x16056),f425(x16053,x16054,x16055,x16052,x16056)) % 166.52/166.37 [1606]~E(x16061,x16062)+E(f425(x16063,x16064,x16065,x16066,x16061),f425(x16063,x16064,x16065,x16066,x16062)) % 166.52/166.37 [1607]~E(x16071,x16072)+E(f417(x16071,x16073,x16074,x16075),f417(x16072,x16073,x16074,x16075)) % 166.52/166.37 [1608]~E(x16081,x16082)+E(f417(x16083,x16081,x16084,x16085),f417(x16083,x16082,x16084,x16085)) % 166.52/166.37 [1609]~E(x16091,x16092)+E(f417(x16093,x16094,x16091,x16095),f417(x16093,x16094,x16092,x16095)) % 166.52/166.37 [1610]~E(x16101,x16102)+E(f417(x16103,x16104,x16105,x16101),f417(x16103,x16104,x16105,x16102)) % 166.52/166.37 [1611]~E(x16111,x16112)+E(f385(x16111,x16113,x16114,x16115),f385(x16112,x16113,x16114,x16115)) % 166.52/166.37 [1612]~E(x16121,x16122)+E(f385(x16123,x16121,x16124,x16125),f385(x16123,x16122,x16124,x16125)) % 166.52/166.37 [1613]~E(x16131,x16132)+E(f385(x16133,x16134,x16131,x16135),f385(x16133,x16134,x16132,x16135)) % 166.52/166.37 [1614]~E(x16141,x16142)+E(f385(x16143,x16144,x16145,x16141),f385(x16143,x16144,x16145,x16142)) % 166.52/166.37 [1615]~E(x16151,x16152)+E(f212(x16151),f212(x16152)) % 166.52/166.37 [1616]~E(x16161,x16162)+E(f56(x16161,x16163,x16164),f56(x16162,x16163,x16164)) % 166.52/166.37 [1617]~E(x16171,x16172)+E(f56(x16173,x16171,x16174),f56(x16173,x16172,x16174)) % 166.52/166.37 [1618]~E(x16181,x16182)+E(f56(x16183,x16184,x16181),f56(x16183,x16184,x16182)) % 166.52/166.37 [1619]~E(x16191,x16192)+E(f894(x16191,x16193,x16194,x16195),f894(x16192,x16193,x16194,x16195)) % 166.52/166.37 [1620]~E(x16201,x16202)+E(f894(x16203,x16201,x16204,x16205),f894(x16203,x16202,x16204,x16205)) % 166.52/166.37 [1621]~E(x16211,x16212)+E(f894(x16213,x16214,x16211,x16215),f894(x16213,x16214,x16212,x16215)) % 166.52/166.37 [1622]~E(x16221,x16222)+E(f894(x16223,x16224,x16225,x16221),f894(x16223,x16224,x16225,x16222)) % 166.52/166.37 [1623]~E(x16231,x16232)+E(f877(x16231,x16233),f877(x16232,x16233)) % 166.52/166.37 [1624]~E(x16241,x16242)+E(f877(x16243,x16241),f877(x16243,x16242)) % 166.52/166.37 [1625]~E(x16251,x16252)+E(f625(x16251,x16253,x16254,x16255,x16256),f625(x16252,x16253,x16254,x16255,x16256)) % 166.52/166.37 [1626]~E(x16261,x16262)+E(f625(x16263,x16261,x16264,x16265,x16266),f625(x16263,x16262,x16264,x16265,x16266)) % 166.52/166.37 [1627]~E(x16271,x16272)+E(f625(x16273,x16274,x16271,x16275,x16276),f625(x16273,x16274,x16272,x16275,x16276)) % 166.52/166.37 [1628]~E(x16281,x16282)+E(f625(x16283,x16284,x16285,x16281,x16286),f625(x16283,x16284,x16285,x16282,x16286)) % 166.52/166.37 [1629]~E(x16291,x16292)+E(f625(x16293,x16294,x16295,x16296,x16291),f625(x16293,x16294,x16295,x16296,x16292)) % 166.52/166.37 [1630]~E(x16301,x16302)+E(f339(x16301),f339(x16302)) % 166.52/166.37 [1631]~E(x16311,x16312)+E(f636(x16311,x16313,x16314),f636(x16312,x16313,x16314)) % 166.52/166.37 [1632]~E(x16321,x16322)+E(f636(x16323,x16321,x16324),f636(x16323,x16322,x16324)) % 166.52/166.37 [1633]~E(x16331,x16332)+E(f636(x16333,x16334,x16331),f636(x16333,x16334,x16332)) % 166.52/166.37 [1634]~E(x16341,x16342)+E(f502(x16341,x16343,x16344,x16345,x16346),f502(x16342,x16343,x16344,x16345,x16346)) % 166.52/166.37 [1635]~E(x16351,x16352)+E(f502(x16353,x16351,x16354,x16355,x16356),f502(x16353,x16352,x16354,x16355,x16356)) % 166.52/166.37 [1636]~E(x16361,x16362)+E(f502(x16363,x16364,x16361,x16365,x16366),f502(x16363,x16364,x16362,x16365,x16366)) % 166.52/166.37 [1637]~E(x16371,x16372)+E(f502(x16373,x16374,x16375,x16371,x16376),f502(x16373,x16374,x16375,x16372,x16376)) % 166.52/166.37 [1638]~E(x16381,x16382)+E(f502(x16383,x16384,x16385,x16386,x16381),f502(x16383,x16384,x16385,x16386,x16382)) % 166.52/166.37 [1639]~E(x16391,x16392)+E(f456(x16391,x16393),f456(x16392,x16393)) % 166.52/166.37 [1640]~E(x16401,x16402)+E(f456(x16403,x16401),f456(x16403,x16402)) % 166.52/166.37 [1641]~E(x16411,x16412)+E(f78(x16411,x16413,x16414,x16415,x16416),f78(x16412,x16413,x16414,x16415,x16416)) % 166.52/166.37 [1642]~E(x16421,x16422)+E(f78(x16423,x16421,x16424,x16425,x16426),f78(x16423,x16422,x16424,x16425,x16426)) % 166.52/166.37 [1643]~E(x16431,x16432)+E(f78(x16433,x16434,x16431,x16435,x16436),f78(x16433,x16434,x16432,x16435,x16436)) % 166.52/166.37 [1644]~E(x16441,x16442)+E(f78(x16443,x16444,x16445,x16441,x16446),f78(x16443,x16444,x16445,x16442,x16446)) % 166.52/166.37 [1645]~E(x16451,x16452)+E(f78(x16453,x16454,x16455,x16456,x16451),f78(x16453,x16454,x16455,x16456,x16452)) % 166.52/166.37 [1646]~E(x16461,x16462)+E(f616(x16461,x16463,x16464,x16465,x16466),f616(x16462,x16463,x16464,x16465,x16466)) % 166.52/166.37 [1647]~E(x16471,x16472)+E(f616(x16473,x16471,x16474,x16475,x16476),f616(x16473,x16472,x16474,x16475,x16476)) % 166.52/166.37 [1648]~E(x16481,x16482)+E(f616(x16483,x16484,x16481,x16485,x16486),f616(x16483,x16484,x16482,x16485,x16486)) % 166.52/166.37 [1649]~E(x16491,x16492)+E(f616(x16493,x16494,x16495,x16491,x16496),f616(x16493,x16494,x16495,x16492,x16496)) % 166.52/166.37 [1650]~E(x16501,x16502)+E(f616(x16503,x16504,x16505,x16506,x16501),f616(x16503,x16504,x16505,x16506,x16502)) % 166.52/166.37 [1651]~E(x16511,x16512)+E(f602(x16511,x16513,x16514,x16515,x16516),f602(x16512,x16513,x16514,x16515,x16516)) % 166.52/166.37 [1652]~E(x16521,x16522)+E(f602(x16523,x16521,x16524,x16525,x16526),f602(x16523,x16522,x16524,x16525,x16526)) % 166.52/166.37 [1653]~E(x16531,x16532)+E(f602(x16533,x16534,x16531,x16535,x16536),f602(x16533,x16534,x16532,x16535,x16536)) % 166.52/166.37 [1654]~E(x16541,x16542)+E(f602(x16543,x16544,x16545,x16541,x16546),f602(x16543,x16544,x16545,x16542,x16546)) % 166.52/166.37 [1655]~E(x16551,x16552)+E(f602(x16553,x16554,x16555,x16556,x16551),f602(x16553,x16554,x16555,x16556,x16552)) % 166.52/166.37 [1656]~E(x16561,x16562)+E(f699(x16561,x16563,x16564,x16565),f699(x16562,x16563,x16564,x16565)) % 166.52/166.37 [1657]~E(x16571,x16572)+E(f699(x16573,x16571,x16574,x16575),f699(x16573,x16572,x16574,x16575)) % 166.52/166.37 [1658]~E(x16581,x16582)+E(f699(x16583,x16584,x16581,x16585),f699(x16583,x16584,x16582,x16585)) % 166.52/166.37 [1659]~E(x16591,x16592)+E(f699(x16593,x16594,x16595,x16591),f699(x16593,x16594,x16595,x16592)) % 166.52/166.37 [1660]~E(x16601,x16602)+E(f301(x16601,x16603,x16604,x16605),f301(x16602,x16603,x16604,x16605)) % 166.52/166.37 [1661]~E(x16611,x16612)+E(f301(x16613,x16611,x16614,x16615),f301(x16613,x16612,x16614,x16615)) % 166.52/166.37 [1662]~E(x16621,x16622)+E(f301(x16623,x16624,x16621,x16625),f301(x16623,x16624,x16622,x16625)) % 166.52/166.37 [1663]~E(x16631,x16632)+E(f301(x16633,x16634,x16635,x16631),f301(x16633,x16634,x16635,x16632)) % 166.52/166.37 [1664]~E(x16641,x16642)+E(f846(x16641),f846(x16642)) % 166.52/166.37 [1665]~E(x16651,x16652)+E(f461(x16651,x16653,x16654),f461(x16652,x16653,x16654)) % 166.52/166.37 [1666]~E(x16661,x16662)+E(f461(x16663,x16661,x16664),f461(x16663,x16662,x16664)) % 166.52/166.37 [1667]~E(x16671,x16672)+E(f461(x16673,x16674,x16671),f461(x16673,x16674,x16672)) % 166.52/166.37 [1668]~E(x16681,x16682)+E(f895(x16681,x16683,x16684),f895(x16682,x16683,x16684)) % 166.52/166.37 [1669]~E(x16691,x16692)+E(f895(x16693,x16691,x16694),f895(x16693,x16692,x16694)) % 166.52/166.37 [1670]~E(x16701,x16702)+E(f895(x16703,x16704,x16701),f895(x16703,x16704,x16702)) % 166.52/166.37 [1671]~E(x16711,x16712)+E(f604(x16711,x16713,x16714),f604(x16712,x16713,x16714)) % 166.52/166.37 [1672]~E(x16721,x16722)+E(f604(x16723,x16721,x16724),f604(x16723,x16722,x16724)) % 166.52/166.37 [1673]~E(x16731,x16732)+E(f604(x16733,x16734,x16731),f604(x16733,x16734,x16732)) % 166.52/166.37 [1674]~E(x16741,x16742)+E(f166(x16741,x16743,x16744,x16745),f166(x16742,x16743,x16744,x16745)) % 166.52/166.37 [1675]~E(x16751,x16752)+E(f166(x16753,x16751,x16754,x16755),f166(x16753,x16752,x16754,x16755)) % 166.52/166.37 [1676]~E(x16761,x16762)+E(f166(x16763,x16764,x16761,x16765),f166(x16763,x16764,x16762,x16765)) % 166.52/166.37 [1677]~E(x16771,x16772)+E(f166(x16773,x16774,x16775,x16771),f166(x16773,x16774,x16775,x16772)) % 166.52/166.37 [1678]~E(x16781,x16782)+E(f632(x16781,x16783,x16784,x16785,x16786),f632(x16782,x16783,x16784,x16785,x16786)) % 166.52/166.37 [1679]~E(x16791,x16792)+E(f632(x16793,x16791,x16794,x16795,x16796),f632(x16793,x16792,x16794,x16795,x16796)) % 166.52/166.37 [1680]~E(x16801,x16802)+E(f632(x16803,x16804,x16801,x16805,x16806),f632(x16803,x16804,x16802,x16805,x16806)) % 166.52/166.37 [1681]~E(x16811,x16812)+E(f632(x16813,x16814,x16815,x16811,x16816),f632(x16813,x16814,x16815,x16812,x16816)) % 166.52/166.37 [1682]~E(x16821,x16822)+E(f632(x16823,x16824,x16825,x16826,x16821),f632(x16823,x16824,x16825,x16826,x16822)) % 166.52/166.37 [1683]~E(x16831,x16832)+E(f865(x16831,x16833,x16834,x16835,x16836),f865(x16832,x16833,x16834,x16835,x16836)) % 166.52/166.37 [1684]~E(x16841,x16842)+E(f865(x16843,x16841,x16844,x16845,x16846),f865(x16843,x16842,x16844,x16845,x16846)) % 166.52/166.37 [1685]~E(x16851,x16852)+E(f865(x16853,x16854,x16851,x16855,x16856),f865(x16853,x16854,x16852,x16855,x16856)) % 166.52/166.37 [1686]~E(x16861,x16862)+E(f865(x16863,x16864,x16865,x16861,x16866),f865(x16863,x16864,x16865,x16862,x16866)) % 166.52/166.37 [1687]~E(x16871,x16872)+E(f865(x16873,x16874,x16875,x16876,x16871),f865(x16873,x16874,x16875,x16876,x16872)) % 166.65/166.37 [1688]~E(x16881,x16882)+E(f438(x16881,x16883,x16884),f438(x16882,x16883,x16884)) % 166.65/166.37 [1689]~E(x16891,x16892)+E(f438(x16893,x16891,x16894),f438(x16893,x16892,x16894)) % 166.65/166.37 [1690]~E(x16901,x16902)+E(f438(x16903,x16904,x16901),f438(x16903,x16904,x16902)) % 166.65/166.37 [1691]~E(x16911,x16912)+E(f394(x16911,x16913,x16914,x16915,x16916),f394(x16912,x16913,x16914,x16915,x16916)) % 166.65/166.37 [1692]~E(x16921,x16922)+E(f394(x16923,x16921,x16924,x16925,x16926),f394(x16923,x16922,x16924,x16925,x16926)) % 166.65/166.37 [1693]~E(x16931,x16932)+E(f394(x16933,x16934,x16931,x16935,x16936),f394(x16933,x16934,x16932,x16935,x16936)) % 166.65/166.37 [1694]~E(x16941,x16942)+E(f394(x16943,x16944,x16945,x16941,x16946),f394(x16943,x16944,x16945,x16942,x16946)) % 166.65/166.37 [1695]~E(x16951,x16952)+E(f394(x16953,x16954,x16955,x16956,x16951),f394(x16953,x16954,x16955,x16956,x16952)) % 166.65/166.37 [1696]~E(x16961,x16962)+E(f165(x16961,x16963),f165(x16962,x16963)) % 166.65/166.37 [1697]~E(x16971,x16972)+E(f165(x16973,x16971),f165(x16973,x16972)) % 166.65/166.37 [1698]~E(x16981,x16982)+E(f478(x16981,x16983,x16984,x16985,x16986),f478(x16982,x16983,x16984,x16985,x16986)) % 166.65/166.37 [1699]~E(x16991,x16992)+E(f478(x16993,x16991,x16994,x16995,x16996),f478(x16993,x16992,x16994,x16995,x16996)) % 166.65/166.37 [1700]~E(x17001,x17002)+E(f478(x17003,x17004,x17001,x17005,x17006),f478(x17003,x17004,x17002,x17005,x17006)) % 166.65/166.37 [1701]~E(x17011,x17012)+E(f478(x17013,x17014,x17015,x17011,x17016),f478(x17013,x17014,x17015,x17012,x17016)) % 166.65/166.37 [1702]~E(x17021,x17022)+E(f478(x17023,x17024,x17025,x17026,x17021),f478(x17023,x17024,x17025,x17026,x17022)) % 166.65/166.37 [1703]~E(x17031,x17032)+E(f183(x17031),f183(x17032)) % 166.65/166.37 [1704]~E(x17041,x17042)+E(f209(x17041,x17043,x17044,x17045),f209(x17042,x17043,x17044,x17045)) % 166.65/166.37 [1705]~E(x17051,x17052)+E(f209(x17053,x17051,x17054,x17055),f209(x17053,x17052,x17054,x17055)) % 166.65/166.37 [1706]~E(x17061,x17062)+E(f209(x17063,x17064,x17061,x17065),f209(x17063,x17064,x17062,x17065)) % 166.65/166.37 [1707]~E(x17071,x17072)+E(f209(x17073,x17074,x17075,x17071),f209(x17073,x17074,x17075,x17072)) % 166.65/166.37 [1708]~E(x17081,x17082)+E(f452(x17081,x17083,x17084),f452(x17082,x17083,x17084)) % 166.65/166.37 [1709]~E(x17091,x17092)+E(f452(x17093,x17091,x17094),f452(x17093,x17092,x17094)) % 166.65/166.37 [1710]~E(x17101,x17102)+E(f452(x17103,x17104,x17101),f452(x17103,x17104,x17102)) % 166.65/166.37 [1711]~E(x17111,x17112)+E(f654(x17111,x17113,x17114,x17115),f654(x17112,x17113,x17114,x17115)) % 166.65/166.37 [1712]~E(x17121,x17122)+E(f654(x17123,x17121,x17124,x17125),f654(x17123,x17122,x17124,x17125)) % 166.65/166.37 [1713]~E(x17131,x17132)+E(f654(x17133,x17134,x17131,x17135),f654(x17133,x17134,x17132,x17135)) % 166.65/166.37 [1714]~E(x17141,x17142)+E(f654(x17143,x17144,x17145,x17141),f654(x17143,x17144,x17145,x17142)) % 166.65/166.37 [1715]~E(x17151,x17152)+E(f615(x17151,x17153,x17154,x17155),f615(x17152,x17153,x17154,x17155)) % 166.65/166.37 [1716]~E(x17161,x17162)+E(f615(x17163,x17161,x17164,x17165),f615(x17163,x17162,x17164,x17165)) % 166.65/166.37 [1717]~E(x17171,x17172)+E(f615(x17173,x17174,x17171,x17175),f615(x17173,x17174,x17172,x17175)) % 166.65/166.37 [1718]~E(x17181,x17182)+E(f615(x17183,x17184,x17185,x17181),f615(x17183,x17184,x17185,x17182)) % 166.65/166.37 [1719]~E(x17191,x17192)+E(f691(x17191,x17193,x17194,x17195),f691(x17192,x17193,x17194,x17195)) % 166.65/166.37 [1720]~E(x17201,x17202)+E(f691(x17203,x17201,x17204,x17205),f691(x17203,x17202,x17204,x17205)) % 166.65/166.37 [1721]~E(x17211,x17212)+E(f691(x17213,x17214,x17211,x17215),f691(x17213,x17214,x17212,x17215)) % 166.65/166.37 [1722]~E(x17221,x17222)+E(f691(x17223,x17224,x17225,x17221),f691(x17223,x17224,x17225,x17222)) % 166.65/166.37 [1723]~E(x17231,x17232)+E(f424(x17231,x17233,x17234,x17235,x17236),f424(x17232,x17233,x17234,x17235,x17236)) % 166.65/166.37 [1724]~E(x17241,x17242)+E(f424(x17243,x17241,x17244,x17245,x17246),f424(x17243,x17242,x17244,x17245,x17246)) % 166.65/166.37 [1725]~E(x17251,x17252)+E(f424(x17253,x17254,x17251,x17255,x17256),f424(x17253,x17254,x17252,x17255,x17256)) % 166.65/166.37 [1726]~E(x17261,x17262)+E(f424(x17263,x17264,x17265,x17261,x17266),f424(x17263,x17264,x17265,x17262,x17266)) % 166.65/166.37 [1727]~E(x17271,x17272)+E(f424(x17273,x17274,x17275,x17276,x17271),f424(x17273,x17274,x17275,x17276,x17272)) % 166.65/166.37 [1728]~E(x17281,x17282)+E(f374(x17281,x17283,x17284),f374(x17282,x17283,x17284)) % 166.65/166.37 [1729]~E(x17291,x17292)+E(f374(x17293,x17291,x17294),f374(x17293,x17292,x17294)) % 166.65/166.37 [1730]~E(x17301,x17302)+E(f374(x17303,x17304,x17301),f374(x17303,x17304,x17302)) % 166.65/166.37 [1731]~E(x17311,x17312)+E(f205(x17311),f205(x17312)) % 166.65/166.37 [1732]~E(x17321,x17322)+E(f314(x17321,x17323),f314(x17322,x17323)) % 166.65/166.37 [1733]~E(x17331,x17332)+E(f314(x17333,x17331),f314(x17333,x17332)) % 166.65/166.37 [1734]~E(x17341,x17342)+E(f679(x17341,x17343,x17344,x17345,x17346),f679(x17342,x17343,x17344,x17345,x17346)) % 166.65/166.37 [1735]~E(x17351,x17352)+E(f679(x17353,x17351,x17354,x17355,x17356),f679(x17353,x17352,x17354,x17355,x17356)) % 166.65/166.37 [1736]~E(x17361,x17362)+E(f679(x17363,x17364,x17361,x17365,x17366),f679(x17363,x17364,x17362,x17365,x17366)) % 166.65/166.37 [1737]~E(x17371,x17372)+E(f679(x17373,x17374,x17375,x17371,x17376),f679(x17373,x17374,x17375,x17372,x17376)) % 166.65/166.37 [1738]~E(x17381,x17382)+E(f679(x17383,x17384,x17385,x17386,x17381),f679(x17383,x17384,x17385,x17386,x17382)) % 166.65/166.37 [1739]~E(x17391,x17392)+E(f642(x17391,x17393,x17394,x17395,x17396,x17397,x17398,x17399),f642(x17392,x17393,x17394,x17395,x17396,x17397,x17398,x17399)) % 166.65/166.37 [1740]~E(x17401,x17402)+E(f642(x17403,x17401,x17404,x17405,x17406,x17407,x17408,x17409),f642(x17403,x17402,x17404,x17405,x17406,x17407,x17408,x17409)) % 166.65/166.37 [1741]~E(x17411,x17412)+E(f642(x17413,x17414,x17411,x17415,x17416,x17417,x17418,x17419),f642(x17413,x17414,x17412,x17415,x17416,x17417,x17418,x17419)) % 166.65/166.37 [1742]~E(x17421,x17422)+E(f642(x17423,x17424,x17425,x17421,x17426,x17427,x17428,x17429),f642(x17423,x17424,x17425,x17422,x17426,x17427,x17428,x17429)) % 166.65/166.37 [1743]~E(x17431,x17432)+E(f642(x17433,x17434,x17435,x17436,x17431,x17437,x17438,x17439),f642(x17433,x17434,x17435,x17436,x17432,x17437,x17438,x17439)) % 166.65/166.37 [1744]~E(x17441,x17442)+E(f642(x17443,x17444,x17445,x17446,x17447,x17441,x17448,x17449),f642(x17443,x17444,x17445,x17446,x17447,x17442,x17448,x17449)) % 166.65/166.37 [1745]~E(x17451,x17452)+E(f642(x17453,x17454,x17455,x17456,x17457,x17458,x17451,x17459),f642(x17453,x17454,x17455,x17456,x17457,x17458,x17452,x17459)) % 166.65/166.37 [1746]~E(x17461,x17462)+E(f642(x17463,x17464,x17465,x17466,x17467,x17468,x17469,x17461),f642(x17463,x17464,x17465,x17466,x17467,x17468,x17469,x17462)) % 166.65/166.37 [1747]~E(x17471,x17472)+E(f536(x17471,x17473,x17474),f536(x17472,x17473,x17474)) % 166.65/166.37 [1748]~E(x17481,x17482)+E(f536(x17483,x17481,x17484),f536(x17483,x17482,x17484)) % 166.65/166.37 [1749]~E(x17491,x17492)+E(f536(x17493,x17494,x17491),f536(x17493,x17494,x17492)) % 166.65/166.37 [1750]~E(x17501,x17502)+E(f523(x17501,x17503,x17504,x17505,x17506),f523(x17502,x17503,x17504,x17505,x17506)) % 166.65/166.37 [1751]~E(x17511,x17512)+E(f523(x17513,x17511,x17514,x17515,x17516),f523(x17513,x17512,x17514,x17515,x17516)) % 166.65/166.37 [1752]~E(x17521,x17522)+E(f523(x17523,x17524,x17521,x17525,x17526),f523(x17523,x17524,x17522,x17525,x17526)) % 166.65/166.37 [1753]~E(x17531,x17532)+E(f523(x17533,x17534,x17535,x17531,x17536),f523(x17533,x17534,x17535,x17532,x17536)) % 166.65/166.37 [1754]~E(x17541,x17542)+E(f523(x17543,x17544,x17545,x17546,x17541),f523(x17543,x17544,x17545,x17546,x17542)) % 166.65/166.37 [1755]~E(x17551,x17552)+E(f397(x17551,x17553,x17554,x17555),f397(x17552,x17553,x17554,x17555)) % 166.65/166.37 [1756]~E(x17561,x17562)+E(f397(x17563,x17561,x17564,x17565),f397(x17563,x17562,x17564,x17565)) % 166.65/166.37 [1757]~E(x17571,x17572)+E(f397(x17573,x17574,x17571,x17575),f397(x17573,x17574,x17572,x17575)) % 166.65/166.37 [1758]~E(x17581,x17582)+E(f397(x17583,x17584,x17585,x17581),f397(x17583,x17584,x17585,x17582)) % 166.65/166.37 [1759]~E(x17591,x17592)+E(f581(x17591,x17593,x17594,x17595,x17596,x17597),f581(x17592,x17593,x17594,x17595,x17596,x17597)) % 166.65/166.37 [1760]~E(x17601,x17602)+E(f581(x17603,x17601,x17604,x17605,x17606,x17607),f581(x17603,x17602,x17604,x17605,x17606,x17607)) % 166.65/166.37 [1761]~E(x17611,x17612)+E(f581(x17613,x17614,x17611,x17615,x17616,x17617),f581(x17613,x17614,x17612,x17615,x17616,x17617)) % 166.65/166.37 [1762]~E(x17621,x17622)+E(f581(x17623,x17624,x17625,x17621,x17626,x17627),f581(x17623,x17624,x17625,x17622,x17626,x17627)) % 166.65/166.37 [1763]~E(x17631,x17632)+E(f581(x17633,x17634,x17635,x17636,x17631,x17637),f581(x17633,x17634,x17635,x17636,x17632,x17637)) % 166.65/166.37 [1764]~E(x17641,x17642)+E(f581(x17643,x17644,x17645,x17646,x17647,x17641),f581(x17643,x17644,x17645,x17646,x17647,x17642)) % 166.65/166.37 [1765]~E(x17651,x17652)+E(f887(x17651,x17653),f887(x17652,x17653)) % 166.65/166.37 [1766]~E(x17661,x17662)+E(f887(x17663,x17661),f887(x17663,x17662)) % 166.65/166.37 [1767]~E(x17671,x17672)+E(f802(x17671,x17673,x17674,x17675),f802(x17672,x17673,x17674,x17675)) % 166.65/166.37 [1768]~E(x17681,x17682)+E(f802(x17683,x17681,x17684,x17685),f802(x17683,x17682,x17684,x17685)) % 166.65/166.37 [1769]~E(x17691,x17692)+E(f802(x17693,x17694,x17691,x17695),f802(x17693,x17694,x17692,x17695)) % 166.65/166.37 [1770]~E(x17701,x17702)+E(f802(x17703,x17704,x17705,x17701),f802(x17703,x17704,x17705,x17702)) % 166.65/166.37 [1771]~E(x17711,x17712)+E(f295(x17711,x17713,x17714),f295(x17712,x17713,x17714)) % 166.65/166.37 [1772]~E(x17721,x17722)+E(f295(x17723,x17721,x17724),f295(x17723,x17722,x17724)) % 166.65/166.37 [1773]~E(x17731,x17732)+E(f295(x17733,x17734,x17731),f295(x17733,x17734,x17732)) % 166.65/166.37 [1774]~E(x17741,x17742)+E(f599(x17741,x17743,x17744),f599(x17742,x17743,x17744)) % 166.65/166.37 [1775]~E(x17751,x17752)+E(f599(x17753,x17751,x17754),f599(x17753,x17752,x17754)) % 166.65/166.37 [1776]~E(x17761,x17762)+E(f599(x17763,x17764,x17761),f599(x17763,x17764,x17762)) % 166.65/166.37 [1777]~E(x17771,x17772)+E(f43(x17771),f43(x17772)) % 166.65/166.37 [1778]~E(x17781,x17782)+E(f533(x17781,x17783,x17784,x17785),f533(x17782,x17783,x17784,x17785)) % 166.65/166.37 [1779]~E(x17791,x17792)+E(f533(x17793,x17791,x17794,x17795),f533(x17793,x17792,x17794,x17795)) % 166.65/166.37 [1780]~E(x17801,x17802)+E(f533(x17803,x17804,x17801,x17805),f533(x17803,x17804,x17802,x17805)) % 166.65/166.37 [1781]~E(x17811,x17812)+E(f533(x17813,x17814,x17815,x17811),f533(x17813,x17814,x17815,x17812)) % 166.65/166.37 [1782]~E(x17821,x17822)+E(f577(x17821,x17823,x17824),f577(x17822,x17823,x17824)) % 166.65/166.37 [1783]~E(x17831,x17832)+E(f577(x17833,x17831,x17834),f577(x17833,x17832,x17834)) % 166.65/166.37 [1784]~E(x17841,x17842)+E(f577(x17843,x17844,x17841),f577(x17843,x17844,x17842)) % 166.65/166.37 [1785]~E(x17851,x17852)+E(f362(x17851,x17853,x17854,x17855),f362(x17852,x17853,x17854,x17855)) % 166.65/166.37 [1786]~E(x17861,x17862)+E(f362(x17863,x17861,x17864,x17865),f362(x17863,x17862,x17864,x17865)) % 166.65/166.37 [1787]~E(x17871,x17872)+E(f362(x17873,x17874,x17871,x17875),f362(x17873,x17874,x17872,x17875)) % 166.65/166.37 [1788]~E(x17881,x17882)+E(f362(x17883,x17884,x17885,x17881),f362(x17883,x17884,x17885,x17882)) % 166.65/166.37 [1789]~E(x17891,x17892)+E(f755(x17891,x17893,x17894,x17895,x17896,x17897,x17898,x17899),f755(x17892,x17893,x17894,x17895,x17896,x17897,x17898,x17899)) % 166.65/166.37 [1790]~E(x17901,x17902)+E(f755(x17903,x17901,x17904,x17905,x17906,x17907,x17908,x17909),f755(x17903,x17902,x17904,x17905,x17906,x17907,x17908,x17909)) % 166.65/166.37 [1791]~E(x17911,x17912)+E(f755(x17913,x17914,x17911,x17915,x17916,x17917,x17918,x17919),f755(x17913,x17914,x17912,x17915,x17916,x17917,x17918,x17919)) % 166.65/166.37 [1792]~E(x17921,x17922)+E(f755(x17923,x17924,x17925,x17921,x17926,x17927,x17928,x17929),f755(x17923,x17924,x17925,x17922,x17926,x17927,x17928,x17929)) % 166.65/166.37 [1793]~E(x17931,x17932)+E(f755(x17933,x17934,x17935,x17936,x17931,x17937,x17938,x17939),f755(x17933,x17934,x17935,x17936,x17932,x17937,x17938,x17939)) % 166.65/166.37 [1794]~E(x17941,x17942)+E(f755(x17943,x17944,x17945,x17946,x17947,x17941,x17948,x17949),f755(x17943,x17944,x17945,x17946,x17947,x17942,x17948,x17949)) % 166.65/166.37 [1795]~E(x17951,x17952)+E(f755(x17953,x17954,x17955,x17956,x17957,x17958,x17951,x17959),f755(x17953,x17954,x17955,x17956,x17957,x17958,x17952,x17959)) % 166.65/166.37 [1796]~E(x17961,x17962)+E(f755(x17963,x17964,x17965,x17966,x17967,x17968,x17969,x17961),f755(x17963,x17964,x17965,x17966,x17967,x17968,x17969,x17962)) % 166.65/166.37 [1797]~E(x17971,x17972)+E(f751(x17971,x17973,x17974,x17975),f751(x17972,x17973,x17974,x17975)) % 166.65/166.37 [1798]~E(x17981,x17982)+E(f751(x17983,x17981,x17984,x17985),f751(x17983,x17982,x17984,x17985)) % 166.65/166.37 [1799]~E(x17991,x17992)+E(f751(x17993,x17994,x17991,x17995),f751(x17993,x17994,x17992,x17995)) % 166.65/166.37 [1800]~E(x18001,x18002)+E(f751(x18003,x18004,x18005,x18001),f751(x18003,x18004,x18005,x18002)) % 166.65/166.37 [1801]~E(x18011,x18012)+E(f418(x18011,x18013,x18014,x18015),f418(x18012,x18013,x18014,x18015)) % 166.65/166.37 [1802]~E(x18021,x18022)+E(f418(x18023,x18021,x18024,x18025),f418(x18023,x18022,x18024,x18025)) % 166.65/166.37 [1803]~E(x18031,x18032)+E(f418(x18033,x18034,x18031,x18035),f418(x18033,x18034,x18032,x18035)) % 166.65/166.37 [1804]~E(x18041,x18042)+E(f418(x18043,x18044,x18045,x18041),f418(x18043,x18044,x18045,x18042)) % 166.65/166.37 [1805]~E(x18051,x18052)+E(f518(x18051,x18053,x18054),f518(x18052,x18053,x18054)) % 166.65/166.37 [1806]~E(x18061,x18062)+E(f518(x18063,x18061,x18064),f518(x18063,x18062,x18064)) % 166.65/166.37 [1807]~E(x18071,x18072)+E(f518(x18073,x18074,x18071),f518(x18073,x18074,x18072)) % 166.65/166.37 [1808]~E(x18081,x18082)+E(f793(x18081,x18083,x18084),f793(x18082,x18083,x18084)) % 166.65/166.37 [1809]~E(x18091,x18092)+E(f793(x18093,x18091,x18094),f793(x18093,x18092,x18094)) % 166.65/166.37 [1810]~E(x18101,x18102)+E(f793(x18103,x18104,x18101),f793(x18103,x18104,x18102)) % 166.65/166.37 [1811]~E(x18111,x18112)+E(f548(x18111,x18113,x18114,x18115),f548(x18112,x18113,x18114,x18115)) % 166.65/166.37 [1812]~E(x18121,x18122)+E(f548(x18123,x18121,x18124,x18125),f548(x18123,x18122,x18124,x18125)) % 166.65/166.37 [1813]~E(x18131,x18132)+E(f548(x18133,x18134,x18131,x18135),f548(x18133,x18134,x18132,x18135)) % 166.65/166.37 [1814]~E(x18141,x18142)+E(f548(x18143,x18144,x18145,x18141),f548(x18143,x18144,x18145,x18142)) % 166.65/166.37 [1815]~E(x18151,x18152)+E(f746(x18151,x18153,x18154,x18155),f746(x18152,x18153,x18154,x18155)) % 166.65/166.37 [1816]~E(x18161,x18162)+E(f746(x18163,x18161,x18164,x18165),f746(x18163,x18162,x18164,x18165)) % 166.65/166.37 [1817]~E(x18171,x18172)+E(f746(x18173,x18174,x18171,x18175),f746(x18173,x18174,x18172,x18175)) % 166.65/166.37 [1818]~E(x18181,x18182)+E(f746(x18183,x18184,x18185,x18181),f746(x18183,x18184,x18185,x18182)) % 166.65/166.37 [1819]~E(x18191,x18192)+E(f372(x18191,x18193,x18194,x18195),f372(x18192,x18193,x18194,x18195)) % 166.65/166.37 [1820]~E(x18201,x18202)+E(f372(x18203,x18201,x18204,x18205),f372(x18203,x18202,x18204,x18205)) % 166.65/166.37 [1821]~E(x18211,x18212)+E(f372(x18213,x18214,x18211,x18215),f372(x18213,x18214,x18212,x18215)) % 166.65/166.37 [1822]~E(x18221,x18222)+E(f372(x18223,x18224,x18225,x18221),f372(x18223,x18224,x18225,x18222)) % 166.65/166.37 [1823]~E(x18231,x18232)+E(f123(x18231,x18233,x18234),f123(x18232,x18233,x18234)) % 166.65/166.37 [1824]~E(x18241,x18242)+E(f123(x18243,x18241,x18244),f123(x18243,x18242,x18244)) % 166.65/166.37 [1825]~E(x18251,x18252)+E(f123(x18253,x18254,x18251),f123(x18253,x18254,x18252)) % 166.65/166.37 [1826]~E(x18261,x18262)+E(f770(x18261,x18263,x18264,x18265,x18266),f770(x18262,x18263,x18264,x18265,x18266)) % 166.65/166.37 [1827]~E(x18271,x18272)+E(f770(x18273,x18271,x18274,x18275,x18276),f770(x18273,x18272,x18274,x18275,x18276)) % 166.65/166.37 [1828]~E(x18281,x18282)+E(f770(x18283,x18284,x18281,x18285,x18286),f770(x18283,x18284,x18282,x18285,x18286)) % 166.65/166.37 [1829]~E(x18291,x18292)+E(f770(x18293,x18294,x18295,x18291,x18296),f770(x18293,x18294,x18295,x18292,x18296)) % 166.65/166.37 [1830]~E(x18301,x18302)+E(f770(x18303,x18304,x18305,x18306,x18301),f770(x18303,x18304,x18305,x18306,x18302)) % 166.65/166.37 [1831]~E(x18311,x18312)+E(f509(x18311,x18313,x18314),f509(x18312,x18313,x18314)) % 166.65/166.37 [1832]~E(x18321,x18322)+E(f509(x18323,x18321,x18324),f509(x18323,x18322,x18324)) % 166.65/166.37 [1833]~E(x18331,x18332)+E(f509(x18333,x18334,x18331),f509(x18333,x18334,x18332)) % 166.65/166.37 [1834]~E(x18341,x18342)+E(f689(x18341,x18343),f689(x18342,x18343)) % 166.65/166.37 [1835]~E(x18351,x18352)+E(f689(x18353,x18351),f689(x18353,x18352)) % 166.65/166.37 [1836]~E(x18361,x18362)+E(f340(x18361,x18363),f340(x18362,x18363)) % 166.65/166.37 [1837]~E(x18371,x18372)+E(f340(x18373,x18371),f340(x18373,x18372)) % 166.65/166.37 [1838]~E(x18381,x18382)+E(f412(x18381,x18383,x18384,x18385,x18386,x18387),f412(x18382,x18383,x18384,x18385,x18386,x18387)) % 166.65/166.37 [1839]~E(x18391,x18392)+E(f412(x18393,x18391,x18394,x18395,x18396,x18397),f412(x18393,x18392,x18394,x18395,x18396,x18397)) % 166.65/166.37 [1840]~E(x18401,x18402)+E(f412(x18403,x18404,x18401,x18405,x18406,x18407),f412(x18403,x18404,x18402,x18405,x18406,x18407)) % 166.65/166.37 [1841]~E(x18411,x18412)+E(f412(x18413,x18414,x18415,x18411,x18416,x18417),f412(x18413,x18414,x18415,x18412,x18416,x18417)) % 166.65/166.37 [1842]~E(x18421,x18422)+E(f412(x18423,x18424,x18425,x18426,x18421,x18427),f412(x18423,x18424,x18425,x18426,x18422,x18427)) % 166.65/166.37 [1843]~E(x18431,x18432)+E(f412(x18433,x18434,x18435,x18436,x18437,x18431),f412(x18433,x18434,x18435,x18436,x18437,x18432)) % 166.65/166.37 [1844]~E(x18441,x18442)+E(f758(x18441,x18443,x18444,x18445),f758(x18442,x18443,x18444,x18445)) % 166.65/166.37 [1845]~E(x18451,x18452)+E(f758(x18453,x18451,x18454,x18455),f758(x18453,x18452,x18454,x18455)) % 166.65/166.37 [1846]~E(x18461,x18462)+E(f758(x18463,x18464,x18461,x18465),f758(x18463,x18464,x18462,x18465)) % 166.65/166.37 [1847]~E(x18471,x18472)+E(f758(x18473,x18474,x18475,x18471),f758(x18473,x18474,x18475,x18472)) % 166.65/166.37 [1848]~E(x18481,x18482)+E(f55(x18481,x18483),f55(x18482,x18483)) % 166.65/166.37 [1849]~E(x18491,x18492)+E(f55(x18493,x18491),f55(x18493,x18492)) % 166.65/166.37 [1850]~E(x18501,x18502)+E(f446(x18501,x18503),f446(x18502,x18503)) % 166.65/166.37 [1851]~E(x18511,x18512)+E(f446(x18513,x18511),f446(x18513,x18512)) % 166.65/166.37 [1852]~E(x18521,x18522)+E(f486(x18521,x18523,x18524),f486(x18522,x18523,x18524)) % 166.65/166.37 [1853]~E(x18531,x18532)+E(f486(x18533,x18531,x18534),f486(x18533,x18532,x18534)) % 166.65/166.37 [1854]~E(x18541,x18542)+E(f486(x18543,x18544,x18541),f486(x18543,x18544,x18542)) % 166.65/166.37 [1855]~E(x18551,x18552)+E(f757(x18551,x18553,x18554,x18555),f757(x18552,x18553,x18554,x18555)) % 166.65/166.37 [1856]~E(x18561,x18562)+E(f757(x18563,x18561,x18564,x18565),f757(x18563,x18562,x18564,x18565)) % 166.65/166.37 [1857]~E(x18571,x18572)+E(f757(x18573,x18574,x18571,x18575),f757(x18573,x18574,x18572,x18575)) % 166.65/166.37 [1858]~E(x18581,x18582)+E(f757(x18583,x18584,x18585,x18581),f757(x18583,x18584,x18585,x18582)) % 166.65/166.37 [1859]~E(x18591,x18592)+E(f413(x18591,x18593),f413(x18592,x18593)) % 166.65/166.37 [1860]~E(x18601,x18602)+E(f413(x18603,x18601),f413(x18603,x18602)) % 166.65/166.37 [1861]~E(x18611,x18612)+E(f673(x18611,x18613,x18614,x18615),f673(x18612,x18613,x18614,x18615)) % 166.65/166.37 [1862]~E(x18621,x18622)+E(f673(x18623,x18621,x18624,x18625),f673(x18623,x18622,x18624,x18625)) % 166.65/166.37 [1863]~E(x18631,x18632)+E(f673(x18633,x18634,x18631,x18635),f673(x18633,x18634,x18632,x18635)) % 166.65/166.37 [1864]~E(x18641,x18642)+E(f673(x18643,x18644,x18645,x18641),f673(x18643,x18644,x18645,x18642)) % 166.65/166.37 [1865]~E(x18651,x18652)+E(f766(x18651,x18653,x18654,x18655,x18656),f766(x18652,x18653,x18654,x18655,x18656)) % 166.65/166.37 [1866]~E(x18661,x18662)+E(f766(x18663,x18661,x18664,x18665,x18666),f766(x18663,x18662,x18664,x18665,x18666)) % 166.65/166.37 [1867]~E(x18671,x18672)+E(f766(x18673,x18674,x18671,x18675,x18676),f766(x18673,x18674,x18672,x18675,x18676)) % 166.65/166.37 [1868]~E(x18681,x18682)+E(f766(x18683,x18684,x18685,x18681,x18686),f766(x18683,x18684,x18685,x18682,x18686)) % 166.65/166.37 [1869]~E(x18691,x18692)+E(f766(x18693,x18694,x18695,x18696,x18691),f766(x18693,x18694,x18695,x18696,x18692)) % 166.65/166.37 [1870]~E(x18701,x18702)+E(f507(x18701,x18703,x18704),f507(x18702,x18703,x18704)) % 166.65/166.37 [1871]~E(x18711,x18712)+E(f507(x18713,x18711,x18714),f507(x18713,x18712,x18714)) % 166.65/166.37 [1872]~E(x18721,x18722)+E(f507(x18723,x18724,x18721),f507(x18723,x18724,x18722)) % 166.65/166.37 [1873]~E(x18731,x18732)+E(f298(x18731,x18733,x18734,x18735),f298(x18732,x18733,x18734,x18735)) % 166.65/166.37 [1874]~E(x18741,x18742)+E(f298(x18743,x18741,x18744,x18745),f298(x18743,x18742,x18744,x18745)) % 166.65/166.37 [1875]~E(x18751,x18752)+E(f298(x18753,x18754,x18751,x18755),f298(x18753,x18754,x18752,x18755)) % 166.65/166.37 [1876]~E(x18761,x18762)+E(f298(x18763,x18764,x18765,x18761),f298(x18763,x18764,x18765,x18762)) % 166.65/166.37 [1877]~E(x18771,x18772)+E(f297(x18771,x18773,x18774),f297(x18772,x18773,x18774)) % 166.65/166.37 [1878]~E(x18781,x18782)+E(f297(x18783,x18781,x18784),f297(x18783,x18782,x18784)) % 166.65/166.37 [1879]~E(x18791,x18792)+E(f297(x18793,x18794,x18791),f297(x18793,x18794,x18792)) % 166.65/166.37 [1880]~E(x18801,x18802)+E(f60(x18801,x18803,x18804,x18805),f60(x18802,x18803,x18804,x18805)) % 166.65/166.37 [1881]~E(x18811,x18812)+E(f60(x18813,x18811,x18814,x18815),f60(x18813,x18812,x18814,x18815)) % 166.65/166.37 [1882]~E(x18821,x18822)+E(f60(x18823,x18824,x18821,x18825),f60(x18823,x18824,x18822,x18825)) % 166.65/166.37 [1883]~E(x18831,x18832)+E(f60(x18833,x18834,x18835,x18831),f60(x18833,x18834,x18835,x18832)) % 166.65/166.37 [1884]~E(x18841,x18842)+E(f626(x18841,x18843,x18844,x18845),f626(x18842,x18843,x18844,x18845)) % 166.65/166.37 [1885]~E(x18851,x18852)+E(f626(x18853,x18851,x18854,x18855),f626(x18853,x18852,x18854,x18855)) % 166.65/166.37 [1886]~E(x18861,x18862)+E(f626(x18863,x18864,x18861,x18865),f626(x18863,x18864,x18862,x18865)) % 166.65/166.37 [1887]~E(x18871,x18872)+E(f626(x18873,x18874,x18875,x18871),f626(x18873,x18874,x18875,x18872)) % 166.65/166.37 [1888]~E(x18881,x18882)+E(f643(x18881,x18883,x18884),f643(x18882,x18883,x18884)) % 166.65/166.37 [1889]~E(x18891,x18892)+E(f643(x18893,x18891,x18894),f643(x18893,x18892,x18894)) % 166.65/166.37 [1890]~E(x18901,x18902)+E(f643(x18903,x18904,x18901),f643(x18903,x18904,x18902)) % 166.65/166.37 [1891]~E(x18911,x18912)+E(f592(x18911,x18913,x18914,x18915),f592(x18912,x18913,x18914,x18915)) % 166.65/166.37 [1892]~E(x18921,x18922)+E(f592(x18923,x18921,x18924,x18925),f592(x18923,x18922,x18924,x18925)) % 166.65/166.37 [1893]~E(x18931,x18932)+E(f592(x18933,x18934,x18931,x18935),f592(x18933,x18934,x18932,x18935)) % 166.65/166.37 [1894]~E(x18941,x18942)+E(f592(x18943,x18944,x18945,x18941),f592(x18943,x18944,x18945,x18942)) % 166.65/166.37 [1895]~E(x18951,x18952)+E(f742(x18951,x18953,x18954,x18955,x18956),f742(x18952,x18953,x18954,x18955,x18956)) % 166.65/166.37 [1896]~E(x18961,x18962)+E(f742(x18963,x18961,x18964,x18965,x18966),f742(x18963,x18962,x18964,x18965,x18966)) % 166.65/166.37 [1897]~E(x18971,x18972)+E(f742(x18973,x18974,x18971,x18975,x18976),f742(x18973,x18974,x18972,x18975,x18976)) % 166.65/166.37 [1898]~E(x18981,x18982)+E(f742(x18983,x18984,x18985,x18981,x18986),f742(x18983,x18984,x18985,x18982,x18986)) % 166.65/166.37 [1899]~E(x18991,x18992)+E(f742(x18993,x18994,x18995,x18996,x18991),f742(x18993,x18994,x18995,x18996,x18992)) % 166.65/166.37 [1900]~E(x19001,x19002)+E(f567(x19001,x19003,x19004,x19005,x19006,x19007,x19008,x19009),f567(x19002,x19003,x19004,x19005,x19006,x19007,x19008,x19009)) % 166.65/166.37 [1901]~E(x19011,x19012)+E(f567(x19013,x19011,x19014,x19015,x19016,x19017,x19018,x19019),f567(x19013,x19012,x19014,x19015,x19016,x19017,x19018,x19019)) % 166.65/166.37 [1902]~E(x19021,x19022)+E(f567(x19023,x19024,x19021,x19025,x19026,x19027,x19028,x19029),f567(x19023,x19024,x19022,x19025,x19026,x19027,x19028,x19029)) % 166.65/166.37 [1903]~E(x19031,x19032)+E(f567(x19033,x19034,x19035,x19031,x19036,x19037,x19038,x19039),f567(x19033,x19034,x19035,x19032,x19036,x19037,x19038,x19039)) % 166.65/166.37 [1904]~E(x19041,x19042)+E(f567(x19043,x19044,x19045,x19046,x19041,x19047,x19048,x19049),f567(x19043,x19044,x19045,x19046,x19042,x19047,x19048,x19049)) % 166.65/166.37 [1905]~E(x19051,x19052)+E(f567(x19053,x19054,x19055,x19056,x19057,x19051,x19058,x19059),f567(x19053,x19054,x19055,x19056,x19057,x19052,x19058,x19059)) % 166.65/166.37 [1906]~E(x19061,x19062)+E(f567(x19063,x19064,x19065,x19066,x19067,x19068,x19061,x19069),f567(x19063,x19064,x19065,x19066,x19067,x19068,x19062,x19069)) % 166.65/166.37 [1907]~E(x19071,x19072)+E(f567(x19073,x19074,x19075,x19076,x19077,x19078,x19079,x19071),f567(x19073,x19074,x19075,x19076,x19077,x19078,x19079,x19072)) % 166.65/166.37 [1908]~E(x19081,x19082)+E(f545(x19081,x19083),f545(x19082,x19083)) % 166.65/166.37 [1909]~E(x19091,x19092)+E(f545(x19093,x19091),f545(x19093,x19092)) % 166.65/166.37 [1910]~E(x19101,x19102)+E(f576(x19101,x19103,x19104),f576(x19102,x19103,x19104)) % 166.65/166.37 [1911]~E(x19111,x19112)+E(f576(x19113,x19111,x19114),f576(x19113,x19112,x19114)) % 166.65/166.37 [1912]~E(x19121,x19122)+E(f576(x19123,x19124,x19121),f576(x19123,x19124,x19122)) % 166.65/166.37 [1913]~E(x19131,x19132)+E(f902(x19131,x19133,x19134),f902(x19132,x19133,x19134)) % 166.65/166.37 [1914]~E(x19141,x19142)+E(f902(x19143,x19141,x19144),f902(x19143,x19142,x19144)) % 166.65/166.37 [1915]~E(x19151,x19152)+E(f902(x19153,x19154,x19151),f902(x19153,x19154,x19152)) % 166.65/166.37 [1916]~E(x19161,x19162)+E(f294(x19161,x19163),f294(x19162,x19163)) % 166.65/166.37 [1917]~E(x19171,x19172)+E(f294(x19173,x19171),f294(x19173,x19172)) % 166.65/166.37 [1918]~E(x19181,x19182)+E(f206(x19181,x19183),f206(x19182,x19183)) % 166.65/166.37 [1919]~E(x19191,x19192)+E(f206(x19193,x19191),f206(x19193,x19192)) % 166.65/166.37 [1920]~E(x19201,x19202)+E(f466(x19201,x19203,x19204,x19205),f466(x19202,x19203,x19204,x19205)) % 166.65/166.37 [1921]~E(x19211,x19212)+E(f466(x19213,x19211,x19214,x19215),f466(x19213,x19212,x19214,x19215)) % 166.65/166.37 [1922]~E(x19221,x19222)+E(f466(x19223,x19224,x19221,x19225),f466(x19223,x19224,x19222,x19225)) % 166.65/166.37 [1923]~E(x19231,x19232)+E(f466(x19233,x19234,x19235,x19231),f466(x19233,x19234,x19235,x19232)) % 166.65/166.37 [1924]~E(x19241,x19242)+E(f839(x19241,x19243,x19244,x19245,x19246,x19247),f839(x19242,x19243,x19244,x19245,x19246,x19247)) % 166.65/166.37 [1925]~E(x19251,x19252)+E(f839(x19253,x19251,x19254,x19255,x19256,x19257),f839(x19253,x19252,x19254,x19255,x19256,x19257)) % 166.65/166.37 [1926]~E(x19261,x19262)+E(f839(x19263,x19264,x19261,x19265,x19266,x19267),f839(x19263,x19264,x19262,x19265,x19266,x19267)) % 166.65/166.37 [1927]~E(x19271,x19272)+E(f839(x19273,x19274,x19275,x19271,x19276,x19277),f839(x19273,x19274,x19275,x19272,x19276,x19277)) % 166.65/166.37 [1928]~E(x19281,x19282)+E(f839(x19283,x19284,x19285,x19286,x19281,x19287),f839(x19283,x19284,x19285,x19286,x19282,x19287)) % 166.65/166.37 [1929]~E(x19291,x19292)+E(f839(x19293,x19294,x19295,x19296,x19297,x19291),f839(x19293,x19294,x19295,x19296,x19297,x19292)) % 166.65/166.37 [1930]~E(x19301,x19302)+E(f635(x19301,x19303,x19304),f635(x19302,x19303,x19304)) % 166.65/166.37 [1931]~E(x19311,x19312)+E(f635(x19313,x19311,x19314),f635(x19313,x19312,x19314)) % 166.65/166.37 [1932]~E(x19321,x19322)+E(f635(x19323,x19324,x19321),f635(x19323,x19324,x19322)) % 166.65/166.37 [1933]~E(x19331,x19332)+E(f876(x19331,x19333,x19334,x19335),f876(x19332,x19333,x19334,x19335)) % 166.65/166.37 [1934]~E(x19341,x19342)+E(f876(x19343,x19341,x19344,x19345),f876(x19343,x19342,x19344,x19345)) % 166.65/166.37 [1935]~E(x19351,x19352)+E(f876(x19353,x19354,x19351,x19355),f876(x19353,x19354,x19352,x19355)) % 166.65/166.37 [1936]~E(x19361,x19362)+E(f876(x19363,x19364,x19365,x19361),f876(x19363,x19364,x19365,x19362)) % 166.65/166.37 [1937]~E(x19371,x19372)+E(f538(x19371,x19373,x19374,x19375,x19376),f538(x19372,x19373,x19374,x19375,x19376)) % 166.65/166.37 [1938]~E(x19381,x19382)+E(f538(x19383,x19381,x19384,x19385,x19386),f538(x19383,x19382,x19384,x19385,x19386)) % 166.65/166.37 [1939]~E(x19391,x19392)+E(f538(x19393,x19394,x19391,x19395,x19396),f538(x19393,x19394,x19392,x19395,x19396)) % 166.65/166.37 [1940]~E(x19401,x19402)+E(f538(x19403,x19404,x19405,x19401,x19406),f538(x19403,x19404,x19405,x19402,x19406)) % 166.65/166.37 [1941]~E(x19411,x19412)+E(f538(x19413,x19414,x19415,x19416,x19411),f538(x19413,x19414,x19415,x19416,x19412)) % 166.65/166.37 [1942]~E(x19421,x19422)+E(f886(x19421,x19423),f886(x19422,x19423)) % 166.65/166.37 [1943]~E(x19431,x19432)+E(f886(x19433,x19431),f886(x19433,x19432)) % 166.65/166.37 [1944]~E(x19441,x19442)+E(f627(x19441,x19443,x19444,x19445,x19446,x19447,x19448),f627(x19442,x19443,x19444,x19445,x19446,x19447,x19448)) % 166.65/166.37 [1945]~E(x19451,x19452)+E(f627(x19453,x19451,x19454,x19455,x19456,x19457,x19458),f627(x19453,x19452,x19454,x19455,x19456,x19457,x19458)) % 166.65/166.37 [1946]~E(x19461,x19462)+E(f627(x19463,x19464,x19461,x19465,x19466,x19467,x19468),f627(x19463,x19464,x19462,x19465,x19466,x19467,x19468)) % 166.65/166.37 [1947]~E(x19471,x19472)+E(f627(x19473,x19474,x19475,x19471,x19476,x19477,x19478),f627(x19473,x19474,x19475,x19472,x19476,x19477,x19478)) % 166.65/166.37 [1948]~E(x19481,x19482)+E(f627(x19483,x19484,x19485,x19486,x19481,x19487,x19488),f627(x19483,x19484,x19485,x19486,x19482,x19487,x19488)) % 166.65/166.37 [1949]~E(x19491,x19492)+E(f627(x19493,x19494,x19495,x19496,x19497,x19491,x19498),f627(x19493,x19494,x19495,x19496,x19497,x19492,x19498)) % 166.65/166.37 [1950]~E(x19501,x19502)+E(f627(x19503,x19504,x19505,x19506,x19507,x19508,x19501),f627(x19503,x19504,x19505,x19506,x19507,x19508,x19502)) % 166.65/166.37 [1951]~E(x19511,x19512)+E(f674(x19511,x19513),f674(x19512,x19513)) % 166.65/166.37 [1952]~E(x19521,x19522)+E(f674(x19523,x19521),f674(x19523,x19522)) % 166.65/166.37 [1953]~E(x19531,x19532)+E(f568(x19531,x19533,x19534,x19535,x19536,x19537,x19538,x19539),f568(x19532,x19533,x19534,x19535,x19536,x19537,x19538,x19539)) % 166.65/166.37 [1954]~E(x19541,x19542)+E(f568(x19543,x19541,x19544,x19545,x19546,x19547,x19548,x19549),f568(x19543,x19542,x19544,x19545,x19546,x19547,x19548,x19549)) % 166.65/166.37 [1955]~E(x19551,x19552)+E(f568(x19553,x19554,x19551,x19555,x19556,x19557,x19558,x19559),f568(x19553,x19554,x19552,x19555,x19556,x19557,x19558,x19559)) % 166.65/166.37 [1956]~E(x19561,x19562)+E(f568(x19563,x19564,x19565,x19561,x19566,x19567,x19568,x19569),f568(x19563,x19564,x19565,x19562,x19566,x19567,x19568,x19569)) % 166.65/166.37 [1957]~E(x19571,x19572)+E(f568(x19573,x19574,x19575,x19576,x19571,x19577,x19578,x19579),f568(x19573,x19574,x19575,x19576,x19572,x19577,x19578,x19579)) % 166.65/166.37 [1958]~E(x19581,x19582)+E(f568(x19583,x19584,x19585,x19586,x19587,x19581,x19588,x19589),f568(x19583,x19584,x19585,x19586,x19587,x19582,x19588,x19589)) % 166.65/166.37 [1959]~E(x19591,x19592)+E(f568(x19593,x19594,x19595,x19596,x19597,x19598,x19591,x19599),f568(x19593,x19594,x19595,x19596,x19597,x19598,x19592,x19599)) % 166.65/166.37 [1960]~E(x19601,x19602)+E(f568(x19603,x19604,x19605,x19606,x19607,x19608,x19609,x19601),f568(x19603,x19604,x19605,x19606,x19607,x19608,x19609,x19602)) % 166.65/166.37 [1961]~E(x19611,x19612)+E(f440(x19611,x19613,x19614,x19615),f440(x19612,x19613,x19614,x19615)) % 166.65/166.37 [1962]~E(x19621,x19622)+E(f440(x19623,x19621,x19624,x19625),f440(x19623,x19622,x19624,x19625)) % 166.65/166.37 [1963]~E(x19631,x19632)+E(f440(x19633,x19634,x19631,x19635),f440(x19633,x19634,x19632,x19635)) % 166.65/166.37 [1964]~E(x19641,x19642)+E(f440(x19643,x19644,x19645,x19641),f440(x19643,x19644,x19645,x19642)) % 166.65/166.37 [1965]~E(x19651,x19652)+E(f544(x19651,x19653,x19654),f544(x19652,x19653,x19654)) % 166.65/166.37 [1966]~E(x19661,x19662)+E(f544(x19663,x19661,x19664),f544(x19663,x19662,x19664)) % 166.65/166.37 [1967]~E(x19671,x19672)+E(f544(x19673,x19674,x19671),f544(x19673,x19674,x19672)) % 166.65/166.37 [1968]~E(x19681,x19682)+E(f402(x19681,x19683,x19684,x19685,x19686,x19687,x19688),f402(x19682,x19683,x19684,x19685,x19686,x19687,x19688)) % 166.65/166.37 [1969]~E(x19691,x19692)+E(f402(x19693,x19691,x19694,x19695,x19696,x19697,x19698),f402(x19693,x19692,x19694,x19695,x19696,x19697,x19698)) % 166.65/166.37 [1970]~E(x19701,x19702)+E(f402(x19703,x19704,x19701,x19705,x19706,x19707,x19708),f402(x19703,x19704,x19702,x19705,x19706,x19707,x19708)) % 166.65/166.37 [1971]~E(x19711,x19712)+E(f402(x19713,x19714,x19715,x19711,x19716,x19717,x19718),f402(x19713,x19714,x19715,x19712,x19716,x19717,x19718)) % 166.65/166.37 [1972]~E(x19721,x19722)+E(f402(x19723,x19724,x19725,x19726,x19721,x19727,x19728),f402(x19723,x19724,x19725,x19726,x19722,x19727,x19728)) % 166.65/166.37 [1973]~E(x19731,x19732)+E(f402(x19733,x19734,x19735,x19736,x19737,x19731,x19738),f402(x19733,x19734,x19735,x19736,x19737,x19732,x19738)) % 166.65/166.37 [1974]~E(x19741,x19742)+E(f402(x19743,x19744,x19745,x19746,x19747,x19748,x19741),f402(x19743,x19744,x19745,x19746,x19747,x19748,x19742)) % 166.65/166.37 [1975]~E(x19751,x19752)+E(f729(x19751,x19753),f729(x19752,x19753)) % 166.65/166.37 [1976]~E(x19761,x19762)+E(f729(x19763,x19761),f729(x19763,x19762)) % 166.65/166.37 [1977]~E(x19771,x19772)+E(f491(x19771,x19773,x19774,x19775,x19776,x19777),f491(x19772,x19773,x19774,x19775,x19776,x19777)) % 166.65/166.37 [1978]~E(x19781,x19782)+E(f491(x19783,x19781,x19784,x19785,x19786,x19787),f491(x19783,x19782,x19784,x19785,x19786,x19787)) % 166.65/166.37 [1979]~E(x19791,x19792)+E(f491(x19793,x19794,x19791,x19795,x19796,x19797),f491(x19793,x19794,x19792,x19795,x19796,x19797)) % 166.65/166.37 [1980]~E(x19801,x19802)+E(f491(x19803,x19804,x19805,x19801,x19806,x19807),f491(x19803,x19804,x19805,x19802,x19806,x19807)) % 166.65/166.37 [1981]~E(x19811,x19812)+E(f491(x19813,x19814,x19815,x19816,x19811,x19817),f491(x19813,x19814,x19815,x19816,x19812,x19817)) % 166.65/166.37 [1982]~E(x19821,x19822)+E(f491(x19823,x19824,x19825,x19826,x19827,x19821),f491(x19823,x19824,x19825,x19826,x19827,x19822)) % 166.65/166.37 [1983]~E(x19831,x19832)+E(f469(x19831,x19833,x19834),f469(x19832,x19833,x19834)) % 166.65/166.37 [1984]~E(x19841,x19842)+E(f469(x19843,x19841,x19844),f469(x19843,x19842,x19844)) % 166.65/166.37 [1985]~E(x19851,x19852)+E(f469(x19853,x19854,x19851),f469(x19853,x19854,x19852)) % 166.65/166.37 [1986]~E(x19861,x19862)+E(f574(x19861,x19863),f574(x19862,x19863)) % 166.65/166.37 [1987]~E(x19871,x19872)+E(f574(x19873,x19871),f574(x19873,x19872)) % 166.65/166.37 [1988]~E(x19881,x19882)+E(f819(x19881,x19883,x19884,x19885),f819(x19882,x19883,x19884,x19885)) % 166.65/166.37 [1989]~E(x19891,x19892)+E(f819(x19893,x19891,x19894,x19895),f819(x19893,x19892,x19894,x19895)) % 166.65/166.37 [1990]~E(x19901,x19902)+E(f819(x19903,x19904,x19901,x19905),f819(x19903,x19904,x19902,x19905)) % 166.65/166.37 [1991]~E(x19911,x19912)+E(f819(x19913,x19914,x19915,x19911),f819(x19913,x19914,x19915,x19912)) % 166.65/166.37 [1992]~E(x19921,x19922)+E(f731(x19921,x19923),f731(x19922,x19923)) % 166.65/166.37 [1993]~E(x19931,x19932)+E(f731(x19933,x19931),f731(x19933,x19932)) % 166.65/166.37 [1994]~E(x19941,x19942)+E(f377(x19941,x19943,x19944,x19945),f377(x19942,x19943,x19944,x19945)) % 166.65/166.37 [1995]~E(x19951,x19952)+E(f377(x19953,x19951,x19954,x19955),f377(x19953,x19952,x19954,x19955)) % 166.65/166.37 [1996]~E(x19961,x19962)+E(f377(x19963,x19964,x19961,x19965),f377(x19963,x19964,x19962,x19965)) % 166.65/166.37 [1997]~E(x19971,x19972)+E(f377(x19973,x19974,x19975,x19971),f377(x19973,x19974,x19975,x19972)) % 166.65/166.37 [1998]~E(x19981,x19982)+E(f687(x19981,x19983,x19984,x19985),f687(x19982,x19983,x19984,x19985)) % 166.65/166.37 [1999]~E(x19991,x19992)+E(f687(x19993,x19991,x19994,x19995),f687(x19993,x19992,x19994,x19995)) % 166.65/166.37 [2000]~E(x20001,x20002)+E(f687(x20003,x20004,x20001,x20005),f687(x20003,x20004,x20002,x20005)) % 166.65/166.37 [2001]~E(x20011,x20012)+E(f687(x20013,x20014,x20015,x20011),f687(x20013,x20014,x20015,x20012)) % 166.65/166.37 [2002]~E(x20021,x20022)+E(f376(x20021,x20023,x20024,x20025),f376(x20022,x20023,x20024,x20025)) % 166.65/166.37 [2003]~E(x20031,x20032)+E(f376(x20033,x20031,x20034,x20035),f376(x20033,x20032,x20034,x20035)) % 166.65/166.37 [2004]~E(x20041,x20042)+E(f376(x20043,x20044,x20041,x20045),f376(x20043,x20044,x20042,x20045)) % 166.65/166.37 [2005]~E(x20051,x20052)+E(f376(x20053,x20054,x20055,x20051),f376(x20053,x20054,x20055,x20052)) % 166.65/166.37 [2006]~E(x20061,x20062)+E(f803(x20061,x20063,x20064,x20065,x20066),f803(x20062,x20063,x20064,x20065,x20066)) % 166.65/166.37 [2007]~E(x20071,x20072)+E(f803(x20073,x20071,x20074,x20075,x20076),f803(x20073,x20072,x20074,x20075,x20076)) % 166.65/166.37 [2008]~E(x20081,x20082)+E(f803(x20083,x20084,x20081,x20085,x20086),f803(x20083,x20084,x20082,x20085,x20086)) % 166.65/166.37 [2009]~E(x20091,x20092)+E(f803(x20093,x20094,x20095,x20091,x20096),f803(x20093,x20094,x20095,x20092,x20096)) % 166.65/166.37 [2010]~E(x20101,x20102)+E(f803(x20103,x20104,x20105,x20106,x20101),f803(x20103,x20104,x20105,x20106,x20102)) % 166.65/166.37 [2011]~E(x20111,x20112)+E(f358(x20111,x20113,x20114,x20115),f358(x20112,x20113,x20114,x20115)) % 166.65/166.37 [2012]~E(x20121,x20122)+E(f358(x20123,x20121,x20124,x20125),f358(x20123,x20122,x20124,x20125)) % 166.65/166.37 [2013]~E(x20131,x20132)+E(f358(x20133,x20134,x20131,x20135),f358(x20133,x20134,x20132,x20135)) % 166.65/166.37 [2014]~E(x20141,x20142)+E(f358(x20143,x20144,x20145,x20141),f358(x20143,x20144,x20145,x20142)) % 166.65/166.37 [2015]~E(x20151,x20152)+E(f293(x20151,x20153),f293(x20152,x20153)) % 166.65/166.37 [2016]~E(x20161,x20162)+E(f293(x20163,x20161),f293(x20163,x20162)) % 166.65/166.37 [2017]~E(x20171,x20172)+E(f784(x20171,x20173,x20174),f784(x20172,x20173,x20174)) % 166.65/166.37 [2018]~E(x20181,x20182)+E(f784(x20183,x20181,x20184),f784(x20183,x20182,x20184)) % 166.65/166.37 [2019]~E(x20191,x20192)+E(f784(x20193,x20194,x20191),f784(x20193,x20194,x20192)) % 166.65/166.37 [2020]~E(x20201,x20202)+E(f222(x20201,x20203),f222(x20202,x20203)) % 166.65/166.37 [2021]~E(x20211,x20212)+E(f222(x20213,x20211),f222(x20213,x20212)) % 166.65/166.37 [2022]~E(x20221,x20222)+E(f761(x20221,x20223,x20224),f761(x20222,x20223,x20224)) % 166.65/166.37 [2023]~E(x20231,x20232)+E(f761(x20233,x20231,x20234),f761(x20233,x20232,x20234)) % 166.65/166.37 [2024]~E(x20241,x20242)+E(f761(x20243,x20244,x20241),f761(x20243,x20244,x20242)) % 166.65/166.37 [2025]~E(x20251,x20252)+E(f227(x20251,x20253,x20254,x20255,x20256),f227(x20252,x20253,x20254,x20255,x20256)) % 166.65/166.37 [2026]~E(x20261,x20262)+E(f227(x20263,x20261,x20264,x20265,x20266),f227(x20263,x20262,x20264,x20265,x20266)) % 166.65/166.37 [2027]~E(x20271,x20272)+E(f227(x20273,x20274,x20271,x20275,x20276),f227(x20273,x20274,x20272,x20275,x20276)) % 166.65/166.37 [2028]~E(x20281,x20282)+E(f227(x20283,x20284,x20285,x20281,x20286),f227(x20283,x20284,x20285,x20282,x20286)) % 166.65/166.37 [2029]~E(x20291,x20292)+E(f227(x20293,x20294,x20295,x20296,x20291),f227(x20293,x20294,x20295,x20296,x20292)) % 166.65/166.37 [2030]~E(x20301,x20302)+E(f651(x20301,x20303,x20304,x20305),f651(x20302,x20303,x20304,x20305)) % 166.65/166.37 [2031]~E(x20311,x20312)+E(f651(x20313,x20311,x20314,x20315),f651(x20313,x20312,x20314,x20315)) % 166.65/166.37 [2032]~E(x20321,x20322)+E(f651(x20323,x20324,x20321,x20325),f651(x20323,x20324,x20322,x20325)) % 166.65/166.37 [2033]~E(x20331,x20332)+E(f651(x20333,x20334,x20335,x20331),f651(x20333,x20334,x20335,x20332)) % 166.65/166.37 [2034]~E(x20341,x20342)+E(f278(x20341,x20343),f278(x20342,x20343)) % 166.65/166.37 [2035]~E(x20351,x20352)+E(f278(x20353,x20351),f278(x20353,x20352)) % 166.65/166.37 [2036]~E(x20361,x20362)+E(f697(x20361,x20363),f697(x20362,x20363)) % 166.65/166.37 [2037]~E(x20371,x20372)+E(f697(x20373,x20371),f697(x20373,x20372)) % 166.65/166.37 [2038]~E(x20381,x20382)+E(f638(x20381,x20383,x20384),f638(x20382,x20383,x20384)) % 166.65/166.37 [2039]~E(x20391,x20392)+E(f638(x20393,x20391,x20394),f638(x20393,x20392,x20394)) % 166.65/166.37 [2040]~E(x20401,x20402)+E(f638(x20403,x20404,x20401),f638(x20403,x20404,x20402)) % 166.65/166.37 [2041]~E(x20411,x20412)+E(f344(x20411,x20413,x20414,x20415,x20416),f344(x20412,x20413,x20414,x20415,x20416)) % 166.65/166.37 [2042]~E(x20421,x20422)+E(f344(x20423,x20421,x20424,x20425,x20426),f344(x20423,x20422,x20424,x20425,x20426)) % 166.65/166.37 [2043]~E(x20431,x20432)+E(f344(x20433,x20434,x20431,x20435,x20436),f344(x20433,x20434,x20432,x20435,x20436)) % 166.65/166.37 [2044]~E(x20441,x20442)+E(f344(x20443,x20444,x20445,x20441,x20446),f344(x20443,x20444,x20445,x20442,x20446)) % 166.65/166.37 [2045]~E(x20451,x20452)+E(f344(x20453,x20454,x20455,x20456,x20451),f344(x20453,x20454,x20455,x20456,x20452)) % 166.65/166.37 [2046]~E(x20461,x20462)+E(f530(x20461,x20463,x20464,x20465,x20466,x20467),f530(x20462,x20463,x20464,x20465,x20466,x20467)) % 166.65/166.37 [2047]~E(x20471,x20472)+E(f530(x20473,x20471,x20474,x20475,x20476,x20477),f530(x20473,x20472,x20474,x20475,x20476,x20477)) % 166.65/166.37 [2048]~E(x20481,x20482)+E(f530(x20483,x20484,x20481,x20485,x20486,x20487),f530(x20483,x20484,x20482,x20485,x20486,x20487)) % 166.65/166.37 [2049]~E(x20491,x20492)+E(f530(x20493,x20494,x20495,x20491,x20496,x20497),f530(x20493,x20494,x20495,x20492,x20496,x20497)) % 166.65/166.37 [2050]~E(x20501,x20502)+E(f530(x20503,x20504,x20505,x20506,x20501,x20507),f530(x20503,x20504,x20505,x20506,x20502,x20507)) % 166.65/166.37 [2051]~E(x20511,x20512)+E(f530(x20513,x20514,x20515,x20516,x20517,x20511),f530(x20513,x20514,x20515,x20516,x20517,x20512)) % 166.65/166.37 [2052]~E(x20521,x20522)+E(f878(x20521,x20523,x20524),f878(x20522,x20523,x20524)) % 166.65/166.37 [2053]~E(x20531,x20532)+E(f878(x20533,x20531,x20534),f878(x20533,x20532,x20534)) % 166.65/166.37 [2054]~E(x20541,x20542)+E(f878(x20543,x20544,x20541),f878(x20543,x20544,x20542)) % 166.65/166.37 [2055]~E(x20551,x20552)+E(f830(x20551,x20553),f830(x20552,x20553)) % 166.65/166.37 [2056]~E(x20561,x20562)+E(f830(x20563,x20561),f830(x20563,x20562)) % 166.65/166.37 [2057]~E(x20571,x20572)+E(f617(x20571,x20573),f617(x20572,x20573)) % 166.65/166.37 [2058]~E(x20581,x20582)+E(f617(x20583,x20581),f617(x20583,x20582)) % 166.65/166.37 [2059]~E(x20591,x20592)+E(f624(x20591,x20593,x20594,x20595,x20596),f624(x20592,x20593,x20594,x20595,x20596)) % 166.65/166.37 [2060]~E(x20601,x20602)+E(f624(x20603,x20601,x20604,x20605,x20606),f624(x20603,x20602,x20604,x20605,x20606)) % 166.65/166.37 [2061]~E(x20611,x20612)+E(f624(x20613,x20614,x20611,x20615,x20616),f624(x20613,x20614,x20612,x20615,x20616)) % 166.65/166.37 [2062]~E(x20621,x20622)+E(f624(x20623,x20624,x20625,x20621,x20626),f624(x20623,x20624,x20625,x20622,x20626)) % 166.65/166.37 [2063]~E(x20631,x20632)+E(f624(x20633,x20634,x20635,x20636,x20631),f624(x20633,x20634,x20635,x20636,x20632)) % 166.65/166.37 [2064]~E(x20641,x20642)+E(f519(x20641,x20643,x20644),f519(x20642,x20643,x20644)) % 166.65/166.37 [2065]~E(x20651,x20652)+E(f519(x20653,x20651,x20654),f519(x20653,x20652,x20654)) % 166.65/166.37 [2066]~E(x20661,x20662)+E(f519(x20663,x20664,x20661),f519(x20663,x20664,x20662)) % 166.65/166.37 [2067]~E(x20671,x20672)+E(f242(x20671,x20673),f242(x20672,x20673)) % 166.65/166.37 [2068]~E(x20681,x20682)+E(f242(x20683,x20681),f242(x20683,x20682)) % 166.65/166.37 [2069]~E(x20691,x20692)+E(f732(x20691,x20693),f732(x20692,x20693)) % 166.65/166.37 [2070]~E(x20701,x20702)+E(f732(x20703,x20701),f732(x20703,x20702)) % 166.65/166.37 [2071]~E(x20711,x20712)+E(f498(x20711,x20713,x20714,x20715),f498(x20712,x20713,x20714,x20715)) % 166.65/166.37 [2072]~E(x20721,x20722)+E(f498(x20723,x20721,x20724,x20725),f498(x20723,x20722,x20724,x20725)) % 166.65/166.37 [2073]~E(x20731,x20732)+E(f498(x20733,x20734,x20731,x20735),f498(x20733,x20734,x20732,x20735)) % 166.65/166.37 [2074]~E(x20741,x20742)+E(f498(x20743,x20744,x20745,x20741),f498(x20743,x20744,x20745,x20742)) % 166.65/166.37 [2075]~E(x20751,x20752)+E(f19(x20751,x20753,x20754,x20755),f19(x20752,x20753,x20754,x20755)) % 166.65/166.37 [2076]~E(x20761,x20762)+E(f19(x20763,x20761,x20764,x20765),f19(x20763,x20762,x20764,x20765)) % 166.65/166.37 [2077]~E(x20771,x20772)+E(f19(x20773,x20774,x20771,x20775),f19(x20773,x20774,x20772,x20775)) % 166.65/166.37 [2078]~E(x20781,x20782)+E(f19(x20783,x20784,x20785,x20781),f19(x20783,x20784,x20785,x20782)) % 166.65/166.37 [2079]~E(x20791,x20792)+E(f593(x20791,x20793,x20794),f593(x20792,x20793,x20794)) % 166.65/166.37 [2080]~E(x20801,x20802)+E(f593(x20803,x20801,x20804),f593(x20803,x20802,x20804)) % 166.65/166.37 [2081]~E(x20811,x20812)+E(f593(x20813,x20814,x20811),f593(x20813,x20814,x20812)) % 166.65/166.37 [2082]~E(x20821,x20822)+E(f585(x20821,x20823,x20824),f585(x20822,x20823,x20824)) % 166.65/166.37 [2083]~E(x20831,x20832)+E(f585(x20833,x20831,x20834),f585(x20833,x20832,x20834)) % 166.65/166.37 [2084]~E(x20841,x20842)+E(f585(x20843,x20844,x20841),f585(x20843,x20844,x20842)) % 166.65/166.37 [2085]~E(x20851,x20852)+E(f398(x20851,x20853,x20854,x20855,x20856),f398(x20852,x20853,x20854,x20855,x20856)) % 166.65/166.37 [2086]~E(x20861,x20862)+E(f398(x20863,x20861,x20864,x20865,x20866),f398(x20863,x20862,x20864,x20865,x20866)) % 166.65/166.37 [2087]~E(x20871,x20872)+E(f398(x20873,x20874,x20871,x20875,x20876),f398(x20873,x20874,x20872,x20875,x20876)) % 166.65/166.37 [2088]~E(x20881,x20882)+E(f398(x20883,x20884,x20885,x20881,x20886),f398(x20883,x20884,x20885,x20882,x20886)) % 166.65/166.37 [2089]~E(x20891,x20892)+E(f398(x20893,x20894,x20895,x20896,x20891),f398(x20893,x20894,x20895,x20896,x20892)) % 166.65/166.37 [2090]~E(x20901,x20902)+E(f441(x20901,x20903,x20904,x20905,x20906,x20907,x20908),f441(x20902,x20903,x20904,x20905,x20906,x20907,x20908)) % 166.65/166.37 [2091]~E(x20911,x20912)+E(f441(x20913,x20911,x20914,x20915,x20916,x20917,x20918),f441(x20913,x20912,x20914,x20915,x20916,x20917,x20918)) % 166.65/166.37 [2092]~E(x20921,x20922)+E(f441(x20923,x20924,x20921,x20925,x20926,x20927,x20928),f441(x20923,x20924,x20922,x20925,x20926,x20927,x20928)) % 166.65/166.37 [2093]~E(x20931,x20932)+E(f441(x20933,x20934,x20935,x20931,x20936,x20937,x20938),f441(x20933,x20934,x20935,x20932,x20936,x20937,x20938)) % 166.65/166.37 [2094]~E(x20941,x20942)+E(f441(x20943,x20944,x20945,x20946,x20941,x20947,x20948),f441(x20943,x20944,x20945,x20946,x20942,x20947,x20948)) % 166.65/166.37 [2095]~E(x20951,x20952)+E(f441(x20953,x20954,x20955,x20956,x20957,x20951,x20958),f441(x20953,x20954,x20955,x20956,x20957,x20952,x20958)) % 166.65/166.37 [2096]~E(x20961,x20962)+E(f441(x20963,x20964,x20965,x20966,x20967,x20968,x20961),f441(x20963,x20964,x20965,x20966,x20967,x20968,x20962)) % 166.65/166.37 [2097]~E(x20971,x20972)+E(f535(x20971,x20973,x20974),f535(x20972,x20973,x20974)) % 166.65/166.37 [2098]~E(x20981,x20982)+E(f535(x20983,x20981,x20984),f535(x20983,x20982,x20984)) % 166.65/166.37 [2099]~E(x20991,x20992)+E(f535(x20993,x20994,x20991),f535(x20993,x20994,x20992)) % 166.65/166.37 [2100]~E(x21001,x21002)+E(f282(x21001,x21003,x21004,x21005),f282(x21002,x21003,x21004,x21005)) % 166.65/166.37 [2101]~E(x21011,x21012)+E(f282(x21013,x21011,x21014,x21015),f282(x21013,x21012,x21014,x21015)) % 166.65/166.37 [2102]~E(x21021,x21022)+E(f282(x21023,x21024,x21021,x21025),f282(x21023,x21024,x21022,x21025)) % 166.65/166.37 [2103]~E(x21031,x21032)+E(f282(x21033,x21034,x21035,x21031),f282(x21033,x21034,x21035,x21032)) % 166.65/166.37 [2104]~E(x21041,x21042)+E(f434(x21041,x21043,x21044),f434(x21042,x21043,x21044)) % 166.65/166.37 [2105]~E(x21051,x21052)+E(f434(x21053,x21051,x21054),f434(x21053,x21052,x21054)) % 166.65/166.37 [2106]~E(x21061,x21062)+E(f434(x21063,x21064,x21061),f434(x21063,x21064,x21062)) % 166.65/166.37 [2107]~E(x21071,x21072)+E(f277(x21071,x21073,x21074),f277(x21072,x21073,x21074)) % 166.65/166.37 [2108]~E(x21081,x21082)+E(f277(x21083,x21081,x21084),f277(x21083,x21082,x21084)) % 166.65/166.37 [2109]~E(x21091,x21092)+E(f277(x21093,x21094,x21091),f277(x21093,x21094,x21092)) % 166.65/166.37 [2110]~E(x21101,x21102)+E(f724(x21101,x21103),f724(x21102,x21103)) % 166.65/166.37 [2111]~E(x21111,x21112)+E(f724(x21113,x21111),f724(x21113,x21112)) % 166.65/166.37 [2112]~E(x21121,x21122)+E(f767(x21121,x21123,x21124,x21125,x21126),f767(x21122,x21123,x21124,x21125,x21126)) % 166.65/166.37 [2113]~E(x21131,x21132)+E(f767(x21133,x21131,x21134,x21135,x21136),f767(x21133,x21132,x21134,x21135,x21136)) % 166.65/166.37 [2114]~E(x21141,x21142)+E(f767(x21143,x21144,x21141,x21145,x21146),f767(x21143,x21144,x21142,x21145,x21146)) % 166.65/166.37 [2115]~E(x21151,x21152)+E(f767(x21153,x21154,x21155,x21151,x21156),f767(x21153,x21154,x21155,x21152,x21156)) % 166.65/166.37 [2116]~E(x21161,x21162)+E(f767(x21163,x21164,x21165,x21166,x21161),f767(x21163,x21164,x21165,x21166,x21162)) % 166.65/166.37 [2117]~E(x21171,x21172)+E(f710(x21171,x21173,x21174,x21175,x21176),f710(x21172,x21173,x21174,x21175,x21176)) % 166.65/166.37 [2118]~E(x21181,x21182)+E(f710(x21183,x21181,x21184,x21185,x21186),f710(x21183,x21182,x21184,x21185,x21186)) % 166.65/166.37 [2119]~E(x21191,x21192)+E(f710(x21193,x21194,x21191,x21195,x21196),f710(x21193,x21194,x21192,x21195,x21196)) % 166.65/166.37 [2120]~E(x21201,x21202)+E(f710(x21203,x21204,x21205,x21201,x21206),f710(x21203,x21204,x21205,x21202,x21206)) % 166.65/166.37 [2121]~E(x21211,x21212)+E(f710(x21213,x21214,x21215,x21216,x21211),f710(x21213,x21214,x21215,x21216,x21212)) % 166.65/166.37 [2122]~E(x21221,x21222)+E(f360(x21221,x21223,x21224,x21225),f360(x21222,x21223,x21224,x21225)) % 166.65/166.37 [2123]~E(x21231,x21232)+E(f360(x21233,x21231,x21234,x21235),f360(x21233,x21232,x21234,x21235)) % 166.65/166.37 [2124]~E(x21241,x21242)+E(f360(x21243,x21244,x21241,x21245),f360(x21243,x21244,x21242,x21245)) % 166.65/166.37 [2125]~E(x21251,x21252)+E(f360(x21253,x21254,x21255,x21251),f360(x21253,x21254,x21255,x21252)) % 166.65/166.37 [2126]~E(x21261,x21262)+E(f811(x21261,x21263,x21264,x21265,x21266,x21267,x21268),f811(x21262,x21263,x21264,x21265,x21266,x21267,x21268)) % 166.65/166.37 [2127]~E(x21271,x21272)+E(f811(x21273,x21271,x21274,x21275,x21276,x21277,x21278),f811(x21273,x21272,x21274,x21275,x21276,x21277,x21278)) % 166.65/166.37 [2128]~E(x21281,x21282)+E(f811(x21283,x21284,x21281,x21285,x21286,x21287,x21288),f811(x21283,x21284,x21282,x21285,x21286,x21287,x21288)) % 166.65/166.37 [2129]~E(x21291,x21292)+E(f811(x21293,x21294,x21295,x21291,x21296,x21297,x21298),f811(x21293,x21294,x21295,x21292,x21296,x21297,x21298)) % 166.65/166.37 [2130]~E(x21301,x21302)+E(f811(x21303,x21304,x21305,x21306,x21301,x21307,x21308),f811(x21303,x21304,x21305,x21306,x21302,x21307,x21308)) % 166.65/166.37 [2131]~E(x21311,x21312)+E(f811(x21313,x21314,x21315,x21316,x21317,x21311,x21318),f811(x21313,x21314,x21315,x21316,x21317,x21312,x21318)) % 166.65/166.37 [2132]~E(x21321,x21322)+E(f811(x21323,x21324,x21325,x21326,x21327,x21328,x21321),f811(x21323,x21324,x21325,x21326,x21327,x21328,x21322)) % 166.65/166.37 [2133]~E(x21331,x21332)+E(f589(x21331,x21333,x21334,x21335),f589(x21332,x21333,x21334,x21335)) % 166.65/166.37 [2134]~E(x21341,x21342)+E(f589(x21343,x21341,x21344,x21345),f589(x21343,x21342,x21344,x21345)) % 166.65/166.37 [2135]~E(x21351,x21352)+E(f589(x21353,x21354,x21351,x21355),f589(x21353,x21354,x21352,x21355)) % 166.65/166.37 [2136]~E(x21361,x21362)+E(f589(x21363,x21364,x21365,x21361),f589(x21363,x21364,x21365,x21362)) % 166.65/166.37 [2137]~E(x21371,x21372)+E(f361(x21371,x21373,x21374,x21375),f361(x21372,x21373,x21374,x21375)) % 166.65/166.37 [2138]~E(x21381,x21382)+E(f361(x21383,x21381,x21384,x21385),f361(x21383,x21382,x21384,x21385)) % 166.65/166.37 [2139]~E(x21391,x21392)+E(f361(x21393,x21394,x21391,x21395),f361(x21393,x21394,x21392,x21395)) % 166.65/166.37 [2140]~E(x21401,x21402)+E(f361(x21403,x21404,x21405,x21401),f361(x21403,x21404,x21405,x21402)) % 166.65/166.37 [2141]~E(x21411,x21412)+E(f487(x21411,x21413,x21414,x21415,x21416),f487(x21412,x21413,x21414,x21415,x21416)) % 166.65/166.37 [2142]~E(x21421,x21422)+E(f487(x21423,x21421,x21424,x21425,x21426),f487(x21423,x21422,x21424,x21425,x21426)) % 166.65/166.37 [2143]~E(x21431,x21432)+E(f487(x21433,x21434,x21431,x21435,x21436),f487(x21433,x21434,x21432,x21435,x21436)) % 166.65/166.37 [2144]~E(x21441,x21442)+E(f487(x21443,x21444,x21445,x21441,x21446),f487(x21443,x21444,x21445,x21442,x21446)) % 166.65/166.37 [2145]~E(x21451,x21452)+E(f487(x21453,x21454,x21455,x21456,x21451),f487(x21453,x21454,x21455,x21456,x21452)) % 166.65/166.37 [2146]~E(x21461,x21462)+E(f610(x21461,x21463),f610(x21462,x21463)) % 166.65/166.37 [2147]~E(x21471,x21472)+E(f610(x21473,x21471),f610(x21473,x21472)) % 166.65/166.37 [2148]~E(x21481,x21482)+E(f891(x21481,x21483),f891(x21482,x21483)) % 166.65/166.37 [2149]~E(x21491,x21492)+E(f891(x21493,x21491),f891(x21493,x21492)) % 166.65/166.37 [2150]~E(x21501,x21502)+E(f789(x21501,x21503,x21504),f789(x21502,x21503,x21504)) % 166.65/166.37 [2151]~E(x21511,x21512)+E(f789(x21513,x21511,x21514),f789(x21513,x21512,x21514)) % 166.65/166.37 [2152]~E(x21521,x21522)+E(f789(x21523,x21524,x21521),f789(x21523,x21524,x21522)) % 166.65/166.37 [2153]~E(x21531,x21532)+E(f634(x21531,x21533,x21534,x21535,x21536,x21537,x21538),f634(x21532,x21533,x21534,x21535,x21536,x21537,x21538)) % 166.65/166.37 [2154]~E(x21541,x21542)+E(f634(x21543,x21541,x21544,x21545,x21546,x21547,x21548),f634(x21543,x21542,x21544,x21545,x21546,x21547,x21548)) % 166.65/166.37 [2155]~E(x21551,x21552)+E(f634(x21553,x21554,x21551,x21555,x21556,x21557,x21558),f634(x21553,x21554,x21552,x21555,x21556,x21557,x21558)) % 166.65/166.37 [2156]~E(x21561,x21562)+E(f634(x21563,x21564,x21565,x21561,x21566,x21567,x21568),f634(x21563,x21564,x21565,x21562,x21566,x21567,x21568)) % 166.65/166.37 [2157]~E(x21571,x21572)+E(f634(x21573,x21574,x21575,x21576,x21571,x21577,x21578),f634(x21573,x21574,x21575,x21576,x21572,x21577,x21578)) % 166.65/166.37 [2158]~E(x21581,x21582)+E(f634(x21583,x21584,x21585,x21586,x21587,x21581,x21588),f634(x21583,x21584,x21585,x21586,x21587,x21582,x21588)) % 166.65/166.37 [2159]~E(x21591,x21592)+E(f634(x21593,x21594,x21595,x21596,x21597,x21598,x21591),f634(x21593,x21594,x21595,x21596,x21597,x21598,x21592)) % 166.65/166.37 [2160]~E(x21601,x21602)+E(f280(x21601,x21603,x21604,x21605),f280(x21602,x21603,x21604,x21605)) % 166.65/166.37 [2161]~E(x21611,x21612)+E(f280(x21613,x21611,x21614,x21615),f280(x21613,x21612,x21614,x21615)) % 166.65/166.37 [2162]~E(x21621,x21622)+E(f280(x21623,x21624,x21621,x21625),f280(x21623,x21624,x21622,x21625)) % 166.65/166.37 [2163]~E(x21631,x21632)+E(f280(x21633,x21634,x21635,x21631),f280(x21633,x21634,x21635,x21632)) % 166.65/166.37 [2164]~E(x21641,x21642)+E(f447(x21641,x21643),f447(x21642,x21643)) % 166.65/166.37 [2165]~E(x21651,x21652)+E(f447(x21653,x21651),f447(x21653,x21652)) % 166.65/166.37 [2166]~E(x21661,x21662)+E(f134(x21661,x21663,x21664,x21665),f134(x21662,x21663,x21664,x21665)) % 166.65/166.37 [2167]~E(x21671,x21672)+E(f134(x21673,x21671,x21674,x21675),f134(x21673,x21672,x21674,x21675)) % 166.65/166.37 [2168]~E(x21681,x21682)+E(f134(x21683,x21684,x21681,x21685),f134(x21683,x21684,x21682,x21685)) % 166.65/166.37 [2169]~E(x21691,x21692)+E(f134(x21693,x21694,x21695,x21691),f134(x21693,x21694,x21695,x21692)) % 166.65/166.37 [2170]~E(x21701,x21702)+E(f556(x21701,x21703,x21704,x21705),f556(x21702,x21703,x21704,x21705)) % 166.65/166.37 [2171]~E(x21711,x21712)+E(f556(x21713,x21711,x21714,x21715),f556(x21713,x21712,x21714,x21715)) % 166.65/166.37 [2172]~E(x21721,x21722)+E(f556(x21723,x21724,x21721,x21725),f556(x21723,x21724,x21722,x21725)) % 166.65/166.37 [2173]~E(x21731,x21732)+E(f556(x21733,x21734,x21735,x21731),f556(x21733,x21734,x21735,x21732)) % 166.65/166.37 [2174]~E(x21741,x21742)+E(f540(x21741,x21743,x21744,x21745),f540(x21742,x21743,x21744,x21745)) % 166.65/166.37 [2175]~E(x21751,x21752)+E(f540(x21753,x21751,x21754,x21755),f540(x21753,x21752,x21754,x21755)) % 166.65/166.37 [2176]~E(x21761,x21762)+E(f540(x21763,x21764,x21761,x21765),f540(x21763,x21764,x21762,x21765)) % 166.65/166.37 [2177]~E(x21771,x21772)+E(f540(x21773,x21774,x21775,x21771),f540(x21773,x21774,x21775,x21772)) % 166.65/166.37 [2178]~E(x21781,x21782)+E(f473(x21781,x21783,x21784,x21785,x21786),f473(x21782,x21783,x21784,x21785,x21786)) % 166.65/166.37 [2179]~E(x21791,x21792)+E(f473(x21793,x21791,x21794,x21795,x21796),f473(x21793,x21792,x21794,x21795,x21796)) % 166.65/166.37 [2180]~E(x21801,x21802)+E(f473(x21803,x21804,x21801,x21805,x21806),f473(x21803,x21804,x21802,x21805,x21806)) % 166.65/166.37 [2181]~E(x21811,x21812)+E(f473(x21813,x21814,x21815,x21811,x21816),f473(x21813,x21814,x21815,x21812,x21816)) % 166.65/166.37 [2182]~E(x21821,x21822)+E(f473(x21823,x21824,x21825,x21826,x21821),f473(x21823,x21824,x21825,x21826,x21822)) % 166.65/166.37 [2183]~E(x21831,x21832)+E(f573(x21831,x21833),f573(x21832,x21833)) % 166.65/166.37 [2184]~E(x21841,x21842)+E(f573(x21843,x21841),f573(x21843,x21842)) % 166.65/166.37 [2185]~E(x21851,x21852)+E(f645(x21851,x21853,x21854),f645(x21852,x21853,x21854)) % 166.65/166.37 [2186]~E(x21861,x21862)+E(f645(x21863,x21861,x21864),f645(x21863,x21862,x21864)) % 166.65/166.37 [2187]~E(x21871,x21872)+E(f645(x21873,x21874,x21871),f645(x21873,x21874,x21872)) % 166.65/166.37 [2188]~E(x21881,x21882)+E(f454(x21881,x21883),f454(x21882,x21883)) % 166.65/166.37 [2189]~E(x21891,x21892)+E(f454(x21893,x21891),f454(x21893,x21892)) % 166.65/166.37 [2190]~E(x21901,x21902)+E(f776(x21901,x21903,x21904),f776(x21902,x21903,x21904)) % 166.65/166.37 [2191]~E(x21911,x21912)+E(f776(x21913,x21911,x21914),f776(x21913,x21912,x21914)) % 166.65/166.37 [2192]~E(x21921,x21922)+E(f776(x21923,x21924,x21921),f776(x21923,x21924,x21922)) % 166.65/166.37 [2193]~E(x21931,x21932)+E(f348(x21931,x21933),f348(x21932,x21933)) % 166.65/166.37 [2194]~E(x21941,x21942)+E(f348(x21943,x21941),f348(x21943,x21942)) % 166.65/166.37 [2195]~E(x21951,x21952)+E(f131(x21951,x21953,x21954,x21955,x21956),f131(x21952,x21953,x21954,x21955,x21956)) % 166.65/166.37 [2196]~E(x21961,x21962)+E(f131(x21963,x21961,x21964,x21965,x21966),f131(x21963,x21962,x21964,x21965,x21966)) % 166.65/166.37 [2197]~E(x21971,x21972)+E(f131(x21973,x21974,x21971,x21975,x21976),f131(x21973,x21974,x21972,x21975,x21976)) % 166.65/166.37 [2198]~E(x21981,x21982)+E(f131(x21983,x21984,x21985,x21981,x21986),f131(x21983,x21984,x21985,x21982,x21986)) % 166.65/166.37 [2199]~E(x21991,x21992)+E(f131(x21993,x21994,x21995,x21996,x21991),f131(x21993,x21994,x21995,x21996,x21992)) % 166.65/166.37 [2200]~E(x22001,x22002)+E(f375(x22001,x22003,x22004),f375(x22002,x22003,x22004)) % 166.65/166.37 [2201]~E(x22011,x22012)+E(f375(x22013,x22011,x22014),f375(x22013,x22012,x22014)) % 166.65/166.37 [2202]~E(x22021,x22022)+E(f375(x22023,x22024,x22021),f375(x22023,x22024,x22022)) % 166.65/166.37 [2203]~E(x22031,x22032)+E(f474(x22031,x22033,x22034,x22035,x22036),f474(x22032,x22033,x22034,x22035,x22036)) % 166.65/166.37 [2204]~E(x22041,x22042)+E(f474(x22043,x22041,x22044,x22045,x22046),f474(x22043,x22042,x22044,x22045,x22046)) % 166.65/166.37 [2205]~E(x22051,x22052)+E(f474(x22053,x22054,x22051,x22055,x22056),f474(x22053,x22054,x22052,x22055,x22056)) % 166.65/166.37 [2206]~E(x22061,x22062)+E(f474(x22063,x22064,x22065,x22061,x22066),f474(x22063,x22064,x22065,x22062,x22066)) % 166.65/166.37 [2207]~E(x22071,x22072)+E(f474(x22073,x22074,x22075,x22076,x22071),f474(x22073,x22074,x22075,x22076,x22072)) % 166.65/166.37 [2208]~E(x22081,x22082)+E(f835(x22081,x22083),f835(x22082,x22083)) % 166.65/166.37 [2209]~E(x22091,x22092)+E(f835(x22093,x22091),f835(x22093,x22092)) % 166.65/166.37 [2210]~E(x22101,x22102)+E(f838(x22101,x22103,x22104,x22105,x22106),f838(x22102,x22103,x22104,x22105,x22106)) % 166.65/166.37 [2211]~E(x22111,x22112)+E(f838(x22113,x22111,x22114,x22115,x22116),f838(x22113,x22112,x22114,x22115,x22116)) % 166.65/166.37 [2212]~E(x22121,x22122)+E(f838(x22123,x22124,x22121,x22125,x22126),f838(x22123,x22124,x22122,x22125,x22126)) % 166.65/166.37 [2213]~E(x22131,x22132)+E(f838(x22133,x22134,x22135,x22131,x22136),f838(x22133,x22134,x22135,x22132,x22136)) % 166.65/166.37 [2214]~E(x22141,x22142)+E(f838(x22143,x22144,x22145,x22146,x22141),f838(x22143,x22144,x22145,x22146,x22142)) % 166.65/166.37 [2215]~E(x22151,x22152)+E(f520(x22151,x22153,x22154),f520(x22152,x22153,x22154)) % 166.65/166.37 [2216]~E(x22161,x22162)+E(f520(x22163,x22161,x22164),f520(x22163,x22162,x22164)) % 166.65/166.37 [2217]~E(x22171,x22172)+E(f520(x22173,x22174,x22171),f520(x22173,x22174,x22172)) % 166.65/166.37 [2218]~E(x22181,x22182)+E(f410(x22181,x22183,x22184),f410(x22182,x22183,x22184)) % 166.65/166.37 [2219]~E(x22191,x22192)+E(f410(x22193,x22191,x22194),f410(x22193,x22192,x22194)) % 166.65/166.37 [2220]~E(x22201,x22202)+E(f410(x22203,x22204,x22201),f410(x22203,x22204,x22202)) % 166.65/166.37 [2221]~E(x22211,x22212)+E(f457(x22211,x22213,x22214),f457(x22212,x22213,x22214)) % 166.65/166.37 [2222]~E(x22221,x22222)+E(f457(x22223,x22221,x22224),f457(x22223,x22222,x22224)) % 166.65/166.37 [2223]~E(x22231,x22232)+E(f457(x22233,x22234,x22231),f457(x22233,x22234,x22232)) % 166.65/166.37 [2224]~E(x22241,x22242)+E(f527(x22241,x22243,x22244,x22245,x22246,x22247,x22248),f527(x22242,x22243,x22244,x22245,x22246,x22247,x22248)) % 166.65/166.37 [2225]~E(x22251,x22252)+E(f527(x22253,x22251,x22254,x22255,x22256,x22257,x22258),f527(x22253,x22252,x22254,x22255,x22256,x22257,x22258)) % 166.65/166.37 [2226]~E(x22261,x22262)+E(f527(x22263,x22264,x22261,x22265,x22266,x22267,x22268),f527(x22263,x22264,x22262,x22265,x22266,x22267,x22268)) % 166.65/166.37 [2227]~E(x22271,x22272)+E(f527(x22273,x22274,x22275,x22271,x22276,x22277,x22278),f527(x22273,x22274,x22275,x22272,x22276,x22277,x22278)) % 166.65/166.37 [2228]~E(x22281,x22282)+E(f527(x22283,x22284,x22285,x22286,x22281,x22287,x22288),f527(x22283,x22284,x22285,x22286,x22282,x22287,x22288)) % 166.65/166.37 [2229]~E(x22291,x22292)+E(f527(x22293,x22294,x22295,x22296,x22297,x22291,x22298),f527(x22293,x22294,x22295,x22296,x22297,x22292,x22298)) % 166.65/166.37 [2230]~E(x22301,x22302)+E(f527(x22303,x22304,x22305,x22306,x22307,x22308,x22301),f527(x22303,x22304,x22305,x22306,x22307,x22308,x22302)) % 166.65/166.37 [2231]~E(x22311,x22312)+E(f601(x22311,x22313),f601(x22312,x22313)) % 166.65/166.37 [2232]~E(x22321,x22322)+E(f601(x22323,x22321),f601(x22323,x22322)) % 166.65/166.37 [2233]~E(x22331,x22332)+E(f235(x22331,x22333,x22334,x22335),f235(x22332,x22333,x22334,x22335)) % 166.65/166.37 [2234]~E(x22341,x22342)+E(f235(x22343,x22341,x22344,x22345),f235(x22343,x22342,x22344,x22345)) % 166.65/166.37 [2235]~E(x22351,x22352)+E(f235(x22353,x22354,x22351,x22355),f235(x22353,x22354,x22352,x22355)) % 166.65/166.37 [2236]~E(x22361,x22362)+E(f235(x22363,x22364,x22365,x22361),f235(x22363,x22364,x22365,x22362)) % 166.65/166.37 [2237]~E(x22371,x22372)+E(f333(x22371,x22373,x22374,x22375),f333(x22372,x22373,x22374,x22375)) % 166.65/166.37 [2238]~E(x22381,x22382)+E(f333(x22383,x22381,x22384,x22385),f333(x22383,x22382,x22384,x22385)) % 166.65/166.37 [2239]~E(x22391,x22392)+E(f333(x22393,x22394,x22391,x22395),f333(x22393,x22394,x22392,x22395)) % 166.65/166.37 [2240]~E(x22401,x22402)+E(f333(x22403,x22404,x22405,x22401),f333(x22403,x22404,x22405,x22402)) % 166.65/166.37 [2241]~E(x22411,x22412)+E(f871(x22411,x22413,x22414,x22415,x22416),f871(x22412,x22413,x22414,x22415,x22416)) % 166.65/166.37 [2242]~E(x22421,x22422)+E(f871(x22423,x22421,x22424,x22425,x22426),f871(x22423,x22422,x22424,x22425,x22426)) % 166.65/166.37 [2243]~E(x22431,x22432)+E(f871(x22433,x22434,x22431,x22435,x22436),f871(x22433,x22434,x22432,x22435,x22436)) % 166.65/166.37 [2244]~E(x22441,x22442)+E(f871(x22443,x22444,x22445,x22441,x22446),f871(x22443,x22444,x22445,x22442,x22446)) % 166.65/166.37 [2245]~E(x22451,x22452)+E(f871(x22453,x22454,x22455,x22456,x22451),f871(x22453,x22454,x22455,x22456,x22452)) % 166.65/166.37 [2246]~E(x22461,x22462)+E(f903(x22461,x22463,x22464,x22465),f903(x22462,x22463,x22464,x22465)) % 166.65/166.37 [2247]~E(x22471,x22472)+E(f903(x22473,x22471,x22474,x22475),f903(x22473,x22472,x22474,x22475)) % 166.65/166.37 [2248]~E(x22481,x22482)+E(f903(x22483,x22484,x22481,x22485),f903(x22483,x22484,x22482,x22485)) % 166.65/166.37 [2249]~E(x22491,x22492)+E(f903(x22493,x22494,x22495,x22491),f903(x22493,x22494,x22495,x22492)) % 166.65/166.37 [2250]~E(x22501,x22502)+E(f393(x22501,x22503,x22504),f393(x22502,x22503,x22504)) % 166.65/166.37 [2251]~E(x22511,x22512)+E(f393(x22513,x22511,x22514),f393(x22513,x22512,x22514)) % 166.65/166.37 [2252]~E(x22521,x22522)+E(f393(x22523,x22524,x22521),f393(x22523,x22524,x22522)) % 166.65/166.37 [2253]~E(x22531,x22532)+E(f782(x22531,x22533,x22534,x22535),f782(x22532,x22533,x22534,x22535)) % 166.65/166.37 [2254]~E(x22541,x22542)+E(f782(x22543,x22541,x22544,x22545),f782(x22543,x22542,x22544,x22545)) % 166.65/166.37 [2255]~E(x22551,x22552)+E(f782(x22553,x22554,x22551,x22555),f782(x22553,x22554,x22552,x22555)) % 166.65/166.37 [2256]~E(x22561,x22562)+E(f782(x22563,x22564,x22565,x22561),f782(x22563,x22564,x22565,x22562)) % 166.65/166.37 [2257]~E(x22571,x22572)+E(f485(x22571,x22573,x22574),f485(x22572,x22573,x22574)) % 166.65/166.37 [2258]~E(x22581,x22582)+E(f485(x22583,x22581,x22584),f485(x22583,x22582,x22584)) % 166.65/166.37 [2259]~E(x22591,x22592)+E(f485(x22593,x22594,x22591),f485(x22593,x22594,x22592)) % 166.65/166.37 [2260]~E(x22601,x22602)+E(f866(x22601),f866(x22602)) % 166.65/166.37 [2261]~E(x22611,x22612)+E(f460(x22611,x22613,x22614),f460(x22612,x22613,x22614)) % 166.65/166.37 [2262]~E(x22621,x22622)+E(f460(x22623,x22621,x22624),f460(x22623,x22622,x22624)) % 166.65/166.37 [2263]~E(x22631,x22632)+E(f460(x22633,x22634,x22631),f460(x22633,x22634,x22632)) % 166.65/166.37 [2264]~E(x22641,x22642)+E(f823(x22641,x22643),f823(x22642,x22643)) % 166.65/166.37 [2265]~E(x22651,x22652)+E(f823(x22653,x22651),f823(x22653,x22652)) % 166.65/166.37 [2266]~E(x22661,x22662)+E(f736(x22661,x22663,x22664),f736(x22662,x22663,x22664)) % 166.65/166.37 [2267]~E(x22671,x22672)+E(f736(x22673,x22671,x22674),f736(x22673,x22672,x22674)) % 166.65/166.37 [2268]~E(x22681,x22682)+E(f736(x22683,x22684,x22681),f736(x22683,x22684,x22682)) % 166.65/166.37 [2269]~E(x22691,x22692)+E(f561(x22691,x22693,x22694,x22695,x22696),f561(x22692,x22693,x22694,x22695,x22696)) % 166.65/166.37 [2270]~E(x22701,x22702)+E(f561(x22703,x22701,x22704,x22705,x22706),f561(x22703,x22702,x22704,x22705,x22706)) % 166.65/166.37 [2271]~E(x22711,x22712)+E(f561(x22713,x22714,x22711,x22715,x22716),f561(x22713,x22714,x22712,x22715,x22716)) % 166.65/166.37 [2272]~E(x22721,x22722)+E(f561(x22723,x22724,x22725,x22721,x22726),f561(x22723,x22724,x22725,x22722,x22726)) % 166.65/166.37 [2273]~E(x22731,x22732)+E(f561(x22733,x22734,x22735,x22736,x22731),f561(x22733,x22734,x22735,x22736,x22732)) % 166.65/166.37 [2274]~E(x22741,x22742)+E(f848(x22741,x22743,x22744),f848(x22742,x22743,x22744)) % 166.65/166.37 [2275]~E(x22751,x22752)+E(f848(x22753,x22751,x22754),f848(x22753,x22752,x22754)) % 166.65/166.37 [2276]~E(x22761,x22762)+E(f848(x22763,x22764,x22761),f848(x22763,x22764,x22762)) % 166.65/166.37 [2277]~E(x22771,x22772)+E(f813(x22771,x22773),f813(x22772,x22773)) % 166.65/166.37 [2278]~E(x22781,x22782)+E(f813(x22783,x22781),f813(x22783,x22782)) % 166.65/166.37 [2279]~E(x22791,x22792)+E(f557(x22791,x22793,x22794,x22795),f557(x22792,x22793,x22794,x22795)) % 166.65/166.37 [2280]~E(x22801,x22802)+E(f557(x22803,x22801,x22804,x22805),f557(x22803,x22802,x22804,x22805)) % 166.65/166.37 [2281]~E(x22811,x22812)+E(f557(x22813,x22814,x22811,x22815),f557(x22813,x22814,x22812,x22815)) % 166.65/166.37 [2282]~E(x22821,x22822)+E(f557(x22823,x22824,x22825,x22821),f557(x22823,x22824,x22825,x22822)) % 166.65/166.37 [2283]~E(x22831,x22832)+E(f864(x22831,x22833,x22834,x22835),f864(x22832,x22833,x22834,x22835)) % 166.65/166.37 [2284]~E(x22841,x22842)+E(f864(x22843,x22841,x22844,x22845),f864(x22843,x22842,x22844,x22845)) % 166.65/166.37 [2285]~E(x22851,x22852)+E(f864(x22853,x22854,x22851,x22855),f864(x22853,x22854,x22852,x22855)) % 166.65/166.37 [2286]~E(x22861,x22862)+E(f864(x22863,x22864,x22865,x22861),f864(x22863,x22864,x22865,x22862)) % 166.65/166.37 [2287]~E(x22871,x22872)+E(f546(x22871,x22873,x22874,x22875),f546(x22872,x22873,x22874,x22875)) % 166.65/166.37 [2288]~E(x22881,x22882)+E(f546(x22883,x22881,x22884,x22885),f546(x22883,x22882,x22884,x22885)) % 166.65/166.37 [2289]~E(x22891,x22892)+E(f546(x22893,x22894,x22891,x22895),f546(x22893,x22894,x22892,x22895)) % 166.65/166.37 [2290]~E(x22901,x22902)+E(f546(x22903,x22904,x22905,x22901),f546(x22903,x22904,x22905,x22902)) % 166.65/166.37 [2291]~E(x22911,x22912)+E(f323(x22911,x22913,x22914),f323(x22912,x22913,x22914)) % 166.65/166.37 [2292]~E(x22921,x22922)+E(f323(x22923,x22921,x22924),f323(x22923,x22922,x22924)) % 166.65/166.37 [2293]~E(x22931,x22932)+E(f323(x22933,x22934,x22931),f323(x22933,x22934,x22932)) % 166.65/166.37 [2294]~E(x22941,x22942)+E(f476(x22941,x22943,x22944,x22945,x22946),f476(x22942,x22943,x22944,x22945,x22946)) % 166.65/166.37 [2295]~E(x22951,x22952)+E(f476(x22953,x22951,x22954,x22955,x22956),f476(x22953,x22952,x22954,x22955,x22956)) % 166.65/166.37 [2296]~E(x22961,x22962)+E(f476(x22963,x22964,x22961,x22965,x22966),f476(x22963,x22964,x22962,x22965,x22966)) % 166.65/166.37 [2297]~E(x22971,x22972)+E(f476(x22973,x22974,x22975,x22971,x22976),f476(x22973,x22974,x22975,x22972,x22976)) % 166.65/166.37 [2298]~E(x22981,x22982)+E(f476(x22983,x22984,x22985,x22986,x22981),f476(x22983,x22984,x22985,x22986,x22982)) % 166.65/166.37 [2299]~E(x22991,x22992)+E(f208(x22991),f208(x22992)) % 166.65/166.37 [2300]~E(x23001,x23002)+E(f841(x23001,x23003,x23004,x23005,x23006,x23007),f841(x23002,x23003,x23004,x23005,x23006,x23007)) % 166.65/166.37 [2301]~E(x23011,x23012)+E(f841(x23013,x23011,x23014,x23015,x23016,x23017),f841(x23013,x23012,x23014,x23015,x23016,x23017)) % 166.65/166.37 [2302]~E(x23021,x23022)+E(f841(x23023,x23024,x23021,x23025,x23026,x23027),f841(x23023,x23024,x23022,x23025,x23026,x23027)) % 166.65/166.37 [2303]~E(x23031,x23032)+E(f841(x23033,x23034,x23035,x23031,x23036,x23037),f841(x23033,x23034,x23035,x23032,x23036,x23037)) % 166.65/166.37 [2304]~E(x23041,x23042)+E(f841(x23043,x23044,x23045,x23046,x23041,x23047),f841(x23043,x23044,x23045,x23046,x23042,x23047)) % 166.65/166.37 [2305]~E(x23051,x23052)+E(f841(x23053,x23054,x23055,x23056,x23057,x23051),f841(x23053,x23054,x23055,x23056,x23057,x23052)) % 166.65/166.37 [2306]~E(x23061,x23062)+E(f514(x23061,x23063,x23064),f514(x23062,x23063,x23064)) % 166.65/166.37 [2307]~E(x23071,x23072)+E(f514(x23073,x23071,x23074),f514(x23073,x23072,x23074)) % 166.65/166.37 [2308]~E(x23081,x23082)+E(f514(x23083,x23084,x23081),f514(x23083,x23084,x23082)) % 166.65/166.37 [2309]~E(x23091,x23092)+E(f837(x23091,x23093),f837(x23092,x23093)) % 166.65/166.37 [2310]~E(x23101,x23102)+E(f837(x23103,x23101),f837(x23103,x23102)) % 166.65/166.37 [2311]~E(x23111,x23112)+E(f791(x23111,x23113,x23114),f791(x23112,x23113,x23114)) % 166.65/166.37 [2312]~E(x23121,x23122)+E(f791(x23123,x23121,x23124),f791(x23123,x23122,x23124)) % 166.65/166.37 [2313]~E(x23131,x23132)+E(f791(x23133,x23134,x23131),f791(x23133,x23134,x23132)) % 166.65/166.37 [2314]~E(x23141,x23142)+E(f670(x23141,x23143,x23144,x23145),f670(x23142,x23143,x23144,x23145)) % 166.65/166.37 [2315]~E(x23151,x23152)+E(f670(x23153,x23151,x23154,x23155),f670(x23153,x23152,x23154,x23155)) % 166.65/166.37 [2316]~E(x23161,x23162)+E(f670(x23163,x23164,x23161,x23165),f670(x23163,x23164,x23162,x23165)) % 166.65/166.37 [2317]~E(x23171,x23172)+E(f670(x23173,x23174,x23175,x23171),f670(x23173,x23174,x23175,x23172)) % 166.65/166.37 [2318]~E(x23181,x23182)+E(f496(x23181,x23183,x23184),f496(x23182,x23183,x23184)) % 166.65/166.37 [2319]~E(x23191,x23192)+E(f496(x23193,x23191,x23194),f496(x23193,x23192,x23194)) % 166.65/166.37 [2320]~E(x23201,x23202)+E(f496(x23203,x23204,x23201),f496(x23203,x23204,x23202)) % 166.65/166.37 [2321]~E(x23211,x23212)+E(f495(x23211,x23213,x23214),f495(x23212,x23213,x23214)) % 166.65/166.37 [2322]~E(x23221,x23222)+E(f495(x23223,x23221,x23224),f495(x23223,x23222,x23224)) % 166.65/166.37 [2323]~E(x23231,x23232)+E(f495(x23233,x23234,x23231),f495(x23233,x23234,x23232)) % 166.65/166.37 [2324]~E(x23241,x23242)+E(f659(x23241,x23243,x23244),f659(x23242,x23243,x23244)) % 166.65/166.37 [2325]~E(x23251,x23252)+E(f659(x23253,x23251,x23254),f659(x23253,x23252,x23254)) % 166.65/166.37 [2326]~E(x23261,x23262)+E(f659(x23263,x23264,x23261),f659(x23263,x23264,x23262)) % 166.65/166.37 [2327]~E(x23271,x23272)+E(f368(x23271,x23273),f368(x23272,x23273)) % 166.65/166.37 [2328]~E(x23281,x23282)+E(f368(x23283,x23281),f368(x23283,x23282)) % 166.65/166.37 [2329]~E(x23291,x23292)+E(f657(x23291,x23293,x23294),f657(x23292,x23293,x23294)) % 166.65/166.37 [2330]~E(x23301,x23302)+E(f657(x23303,x23301,x23304),f657(x23303,x23302,x23304)) % 166.65/166.37 [2331]~E(x23311,x23312)+E(f657(x23313,x23314,x23311),f657(x23313,x23314,x23312)) % 166.65/166.37 [2332]~E(x23321,x23322)+E(f717(x23321,x23323,x23324,x23325,x23326),f717(x23322,x23323,x23324,x23325,x23326)) % 166.65/166.37 [2333]~E(x23331,x23332)+E(f717(x23333,x23331,x23334,x23335,x23336),f717(x23333,x23332,x23334,x23335,x23336)) % 166.65/166.37 [2334]~E(x23341,x23342)+E(f717(x23343,x23344,x23341,x23345,x23346),f717(x23343,x23344,x23342,x23345,x23346)) % 166.65/166.37 [2335]~E(x23351,x23352)+E(f717(x23353,x23354,x23355,x23351,x23356),f717(x23353,x23354,x23355,x23352,x23356)) % 166.65/166.37 [2336]~E(x23361,x23362)+E(f717(x23363,x23364,x23365,x23366,x23361),f717(x23363,x23364,x23365,x23366,x23362)) % 166.65/166.37 [2337]~E(x23371,x23372)+E(f404(x23371,x23373),f404(x23372,x23373)) % 166.65/166.37 [2338]~E(x23381,x23382)+E(f404(x23383,x23381),f404(x23383,x23382)) % 166.65/166.37 [2339]~E(x23391,x23392)+E(f740(x23391,x23393,x23394),f740(x23392,x23393,x23394)) % 166.65/166.37 [2340]~E(x23401,x23402)+E(f740(x23403,x23401,x23404),f740(x23403,x23402,x23404)) % 166.65/166.37 [2341]~E(x23411,x23412)+E(f740(x23413,x23414,x23411),f740(x23413,x23414,x23412)) % 166.65/166.37 [2342]~E(x23421,x23422)+E(f499(x23421,x23423,x23424),f499(x23422,x23423,x23424)) % 166.65/166.37 [2343]~E(x23431,x23432)+E(f499(x23433,x23431,x23434),f499(x23433,x23432,x23434)) % 166.65/166.37 [2344]~E(x23441,x23442)+E(f499(x23443,x23444,x23441),f499(x23443,x23444,x23442)) % 166.65/166.37 [2345]~E(x23451,x23452)+E(f493(x23451,x23453,x23454),f493(x23452,x23453,x23454)) % 166.65/166.37 [2346]~E(x23461,x23462)+E(f493(x23463,x23461,x23464),f493(x23463,x23462,x23464)) % 166.65/166.37 [2347]~E(x23471,x23472)+E(f493(x23473,x23474,x23471),f493(x23473,x23474,x23472)) % 166.65/166.37 [2348]~E(x23481,x23482)+E(f450(x23481,x23483,x23484,x23485),f450(x23482,x23483,x23484,x23485)) % 166.65/166.37 [2349]~E(x23491,x23492)+E(f450(x23493,x23491,x23494,x23495),f450(x23493,x23492,x23494,x23495)) % 166.65/166.37 [2350]~E(x23501,x23502)+E(f450(x23503,x23504,x23501,x23505),f450(x23503,x23504,x23502,x23505)) % 166.65/166.37 [2351]~E(x23511,x23512)+E(f450(x23513,x23514,x23515,x23511),f450(x23513,x23514,x23515,x23512)) % 166.65/166.37 [2352]~E(x23521,x23522)+E(f788(x23521,x23523,x23524),f788(x23522,x23523,x23524)) % 166.65/166.37 [2353]~E(x23531,x23532)+E(f788(x23533,x23531,x23534),f788(x23533,x23532,x23534)) % 166.65/166.37 [2354]~E(x23541,x23542)+E(f788(x23543,x23544,x23541),f788(x23543,x23544,x23542)) % 166.65/166.37 [2355]~E(x23551,x23552)+E(f392(x23551,x23553,x23554),f392(x23552,x23553,x23554)) % 166.65/166.37 [2356]~E(x23561,x23562)+E(f392(x23563,x23561,x23564),f392(x23563,x23562,x23564)) % 166.65/166.37 [2357]~E(x23571,x23572)+E(f392(x23573,x23574,x23571),f392(x23573,x23574,x23572)) % 166.65/166.37 [2358]~E(x23581,x23582)+E(f816(x23581,x23583,x23584,x23585,x23586,x23587,x23588),f816(x23582,x23583,x23584,x23585,x23586,x23587,x23588)) % 166.65/166.37 [2359]~E(x23591,x23592)+E(f816(x23593,x23591,x23594,x23595,x23596,x23597,x23598),f816(x23593,x23592,x23594,x23595,x23596,x23597,x23598)) % 166.65/166.37 [2360]~E(x23601,x23602)+E(f816(x23603,x23604,x23601,x23605,x23606,x23607,x23608),f816(x23603,x23604,x23602,x23605,x23606,x23607,x23608)) % 166.65/166.37 [2361]~E(x23611,x23612)+E(f816(x23613,x23614,x23615,x23611,x23616,x23617,x23618),f816(x23613,x23614,x23615,x23612,x23616,x23617,x23618)) % 166.65/166.37 [2362]~E(x23621,x23622)+E(f816(x23623,x23624,x23625,x23626,x23621,x23627,x23628),f816(x23623,x23624,x23625,x23626,x23622,x23627,x23628)) % 166.65/166.37 [2363]~E(x23631,x23632)+E(f816(x23633,x23634,x23635,x23636,x23637,x23631,x23638),f816(x23633,x23634,x23635,x23636,x23637,x23632,x23638)) % 166.65/166.37 [2364]~E(x23641,x23642)+E(f816(x23643,x23644,x23645,x23646,x23647,x23648,x23641),f816(x23643,x23644,x23645,x23646,x23647,x23648,x23642)) % 166.65/166.37 [2365]~E(x23651,x23652)+E(f364(x23651,x23653,x23654),f364(x23652,x23653,x23654)) % 166.65/166.37 [2366]~E(x23661,x23662)+E(f364(x23663,x23661,x23664),f364(x23663,x23662,x23664)) % 166.65/166.37 [2367]~E(x23671,x23672)+E(f364(x23673,x23674,x23671),f364(x23673,x23674,x23672)) % 166.65/166.37 [2368]~E(x23681,x23682)+E(f193(x23681,x23683,x23684,x23685),f193(x23682,x23683,x23684,x23685)) % 166.65/166.37 [2369]~E(x23691,x23692)+E(f193(x23693,x23691,x23694,x23695),f193(x23693,x23692,x23694,x23695)) % 166.65/166.37 [2370]~E(x23701,x23702)+E(f193(x23703,x23704,x23701,x23705),f193(x23703,x23704,x23702,x23705)) % 166.65/166.37 [2371]~E(x23711,x23712)+E(f193(x23713,x23714,x23715,x23711),f193(x23713,x23714,x23715,x23712)) % 166.65/166.37 [2372]~E(x23721,x23722)+E(f646(x23721,x23723,x23724),f646(x23722,x23723,x23724)) % 166.65/166.37 [2373]~E(x23731,x23732)+E(f646(x23733,x23731,x23734),f646(x23733,x23732,x23734)) % 166.65/166.37 [2374]~E(x23741,x23742)+E(f646(x23743,x23744,x23741),f646(x23743,x23744,x23742)) % 166.65/166.37 [2375]~E(x23751,x23752)+E(f730(x23751,x23753),f730(x23752,x23753)) % 166.65/166.37 [2376]~E(x23761,x23762)+E(f730(x23763,x23761),f730(x23763,x23762)) % 166.65/166.37 [2377]~E(x23771,x23772)+E(f834(x23771),f834(x23772)) % 166.65/166.37 [2378]~E(x23781,x23782)+E(f790(x23781,x23783,x23784),f790(x23782,x23783,x23784)) % 166.65/166.37 [2379]~E(x23791,x23792)+E(f790(x23793,x23791,x23794),f790(x23793,x23792,x23794)) % 166.65/166.37 [2380]~E(x23801,x23802)+E(f790(x23803,x23804,x23801),f790(x23803,x23804,x23802)) % 166.65/166.37 [2381]~E(x23811,x23812)+E(f459(x23811,x23813,x23814),f459(x23812,x23813,x23814)) % 166.65/166.37 [2382]~E(x23821,x23822)+E(f459(x23823,x23821,x23824),f459(x23823,x23822,x23824)) % 166.65/166.37 [2383]~E(x23831,x23832)+E(f459(x23833,x23834,x23831),f459(x23833,x23834,x23832)) % 166.65/166.37 [2384]~E(x23841,x23842)+E(f743(x23841,x23843),f743(x23842,x23843)) % 166.65/166.37 [2385]~E(x23851,x23852)+E(f743(x23853,x23851),f743(x23853,x23852)) % 166.65/166.37 [2386]~E(x23861,x23862)+E(f342(x23861,x23863),f342(x23862,x23863)) % 166.65/166.37 [2387]~E(x23871,x23872)+E(f342(x23873,x23871),f342(x23873,x23872)) % 166.65/166.37 [2388]~E(x23881,x23882)+E(f900(x23881,x23883,x23884,x23885,x23886),f900(x23882,x23883,x23884,x23885,x23886)) % 166.65/166.37 [2389]~E(x23891,x23892)+E(f900(x23893,x23891,x23894,x23895,x23896),f900(x23893,x23892,x23894,x23895,x23896)) % 166.65/166.37 [2390]~E(x23901,x23902)+E(f900(x23903,x23904,x23901,x23905,x23906),f900(x23903,x23904,x23902,x23905,x23906)) % 166.65/166.37 [2391]~E(x23911,x23912)+E(f900(x23913,x23914,x23915,x23911,x23916),f900(x23913,x23914,x23915,x23912,x23916)) % 166.65/166.37 [2392]~E(x23921,x23922)+E(f900(x23923,x23924,x23925,x23926,x23921),f900(x23923,x23924,x23925,x23926,x23922)) % 166.65/166.37 [2393]~E(x23931,x23932)+E(f596(x23931,x23933),f596(x23932,x23933)) % 166.65/166.37 [2394]~E(x23941,x23942)+E(f596(x23943,x23941),f596(x23943,x23942)) % 166.65/166.37 [2395]~E(x23951,x23952)+E(f370(x23951,x23953),f370(x23952,x23953)) % 166.65/166.37 [2396]~E(x23961,x23962)+E(f370(x23963,x23961),f370(x23963,x23962)) % 166.65/166.37 [2397]~E(x23971,x23972)+E(f669(x23971,x23973,x23974,x23975),f669(x23972,x23973,x23974,x23975)) % 166.65/166.37 [2398]~E(x23981,x23982)+E(f669(x23983,x23981,x23984,x23985),f669(x23983,x23982,x23984,x23985)) % 166.65/166.37 [2399]~E(x23991,x23992)+E(f669(x23993,x23994,x23991,x23995),f669(x23993,x23994,x23992,x23995)) % 166.65/166.37 [2400]~E(x24001,x24002)+E(f669(x24003,x24004,x24005,x24001),f669(x24003,x24004,x24005,x24002)) % 166.65/166.37 [2401]~E(x24011,x24012)+E(f722(x24011,x24013,x24014),f722(x24012,x24013,x24014)) % 166.65/166.37 [2402]~E(x24021,x24022)+E(f722(x24023,x24021,x24024),f722(x24023,x24022,x24024)) % 166.65/166.37 [2403]~E(x24031,x24032)+E(f722(x24033,x24034,x24031),f722(x24033,x24034,x24032)) % 166.65/166.37 [2404]~E(x24041,x24042)+E(f45(x24041),f45(x24042)) % 166.65/166.37 [2405]~E(x24051,x24052)+E(f570(x24051),f570(x24052)) % 166.65/166.37 [2406]~E(x24061,x24062)+E(f334(x24061),f334(x24062)) % 166.65/166.37 [2407]~E(x24071,x24072)+E(f230(x24071,x24073,x24074,x24075,x24076),f230(x24072,x24073,x24074,x24075,x24076)) % 166.65/166.37 [2408]~E(x24081,x24082)+E(f230(x24083,x24081,x24084,x24085,x24086),f230(x24083,x24082,x24084,x24085,x24086)) % 166.65/166.37 [2409]~E(x24091,x24092)+E(f230(x24093,x24094,x24091,x24095,x24096),f230(x24093,x24094,x24092,x24095,x24096)) % 166.65/166.37 [2410]~E(x24101,x24102)+E(f230(x24103,x24104,x24105,x24101,x24106),f230(x24103,x24104,x24105,x24102,x24106)) % 166.65/166.37 [2411]~E(x24111,x24112)+E(f230(x24113,x24114,x24115,x24116,x24111),f230(x24113,x24114,x24115,x24116,x24112)) % 166.65/166.37 [2412]~E(x24121,x24122)+E(f433(x24121,x24123,x24124,x24125,x24126),f433(x24122,x24123,x24124,x24125,x24126)) % 166.65/166.37 [2413]~E(x24131,x24132)+E(f433(x24133,x24131,x24134,x24135,x24136),f433(x24133,x24132,x24134,x24135,x24136)) % 166.65/166.37 [2414]~E(x24141,x24142)+E(f433(x24143,x24144,x24141,x24145,x24146),f433(x24143,x24144,x24142,x24145,x24146)) % 166.65/166.37 [2415]~E(x24151,x24152)+E(f433(x24153,x24154,x24155,x24151,x24156),f433(x24153,x24154,x24155,x24152,x24156)) % 166.65/166.37 [2416]~E(x24161,x24162)+E(f433(x24163,x24164,x24165,x24166,x24161),f433(x24163,x24164,x24165,x24166,x24162)) % 166.65/166.37 [2417]~E(x24171,x24172)+E(f411(x24171,x24173),f411(x24172,x24173)) % 166.65/166.37 [2418]~E(x24181,x24182)+E(f411(x24183,x24181),f411(x24183,x24182)) % 166.65/166.37 [2419]~E(x24191,x24192)+E(f403(x24191),f403(x24192)) % 166.65/166.37 [2420]~E(x24201,x24202)+E(f552(x24201,x24203,x24204),f552(x24202,x24203,x24204)) % 166.65/166.37 [2421]~E(x24211,x24212)+E(f552(x24213,x24211,x24214),f552(x24213,x24212,x24214)) % 166.65/166.37 [2422]~E(x24221,x24222)+E(f552(x24223,x24224,x24221),f552(x24223,x24224,x24222)) % 166.65/166.37 [2423]~E(x24231,x24232)+E(f335(x24231),f335(x24232)) % 166.65/166.37 [2424]~E(x24241,x24242)+E(f647(x24241,x24243,x24244),f647(x24242,x24243,x24244)) % 166.65/166.37 [2425]~E(x24251,x24252)+E(f647(x24253,x24251,x24254),f647(x24253,x24252,x24254)) % 166.65/166.37 [2426]~E(x24261,x24262)+E(f647(x24263,x24264,x24261),f647(x24263,x24264,x24262)) % 166.65/166.37 [2427]~E(x24271,x24272)+E(f534(x24271,x24273),f534(x24272,x24273)) % 166.65/166.37 [2428]~E(x24281,x24282)+E(f534(x24283,x24281),f534(x24283,x24282)) % 166.65/166.37 [2429]~E(x24291,x24292)+E(f233(x24291,x24293,x24294,x24295),f233(x24292,x24293,x24294,x24295)) % 166.65/166.37 [2430]~E(x24301,x24302)+E(f233(x24303,x24301,x24304,x24305),f233(x24303,x24302,x24304,x24305)) % 166.65/166.37 [2431]~E(x24311,x24312)+E(f233(x24313,x24314,x24311,x24315),f233(x24313,x24314,x24312,x24315)) % 166.65/166.37 [2432]~E(x24321,x24322)+E(f233(x24323,x24324,x24325,x24321),f233(x24323,x24324,x24325,x24322)) % 166.65/166.37 [2433]~E(x24331,x24332)+E(f42(x24331),f42(x24332)) % 166.65/166.37 [2434]~E(x24341,x24342)+E(f555(x24341,x24343,x24344,x24345,x24346,x24347),f555(x24342,x24343,x24344,x24345,x24346,x24347)) % 166.65/166.37 [2435]~E(x24351,x24352)+E(f555(x24353,x24351,x24354,x24355,x24356,x24357),f555(x24353,x24352,x24354,x24355,x24356,x24357)) % 166.65/166.37 [2436]~E(x24361,x24362)+E(f555(x24363,x24364,x24361,x24365,x24366,x24367),f555(x24363,x24364,x24362,x24365,x24366,x24367)) % 166.65/166.37 [2437]~E(x24371,x24372)+E(f555(x24373,x24374,x24375,x24371,x24376,x24377),f555(x24373,x24374,x24375,x24372,x24376,x24377)) % 166.65/166.37 [2438]~E(x24381,x24382)+E(f555(x24383,x24384,x24385,x24386,x24381,x24387),f555(x24383,x24384,x24385,x24386,x24382,x24387)) % 166.65/166.37 [2439]~E(x24391,x24392)+E(f555(x24393,x24394,x24395,x24396,x24397,x24391),f555(x24393,x24394,x24395,x24396,x24397,x24392)) % 166.65/166.37 [2440]~E(x24401,x24402)+E(f713(x24401,x24403,x24404),f713(x24402,x24403,x24404)) % 166.65/166.37 [2441]~E(x24411,x24412)+E(f713(x24413,x24411,x24414),f713(x24413,x24412,x24414)) % 166.65/166.37 [2442]~E(x24421,x24422)+E(f713(x24423,x24424,x24421),f713(x24423,x24424,x24422)) % 166.65/166.37 [2443]~E(x24431,x24432)+E(f896(x24431,x24433,x24434,x24435,x24436),f896(x24432,x24433,x24434,x24435,x24436)) % 166.65/166.37 [2444]~E(x24441,x24442)+E(f896(x24443,x24441,x24444,x24445,x24446),f896(x24443,x24442,x24444,x24445,x24446)) % 166.65/166.37 [2445]~E(x24451,x24452)+E(f896(x24453,x24454,x24451,x24455,x24456),f896(x24453,x24454,x24452,x24455,x24456)) % 166.65/166.37 [2446]~E(x24461,x24462)+E(f896(x24463,x24464,x24465,x24461,x24466),f896(x24463,x24464,x24465,x24462,x24466)) % 166.65/166.37 [2447]~E(x24471,x24472)+E(f896(x24473,x24474,x24475,x24476,x24471),f896(x24473,x24474,x24475,x24476,x24472)) % 166.65/166.37 [2448]~E(x24481,x24482)+E(f414(x24481,x24483,x24484,x24485),f414(x24482,x24483,x24484,x24485)) % 166.65/166.37 [2449]~E(x24491,x24492)+E(f414(x24493,x24491,x24494,x24495),f414(x24493,x24492,x24494,x24495)) % 166.65/166.37 [2450]~E(x24501,x24502)+E(f414(x24503,x24504,x24501,x24505),f414(x24503,x24504,x24502,x24505)) % 166.65/166.37 [2451]~E(x24511,x24512)+E(f414(x24513,x24514,x24515,x24511),f414(x24513,x24514,x24515,x24512)) % 166.65/166.37 [2452]~E(x24521,x24522)+E(f439(x24521,x24523),f439(x24522,x24523)) % 166.65/166.37 [2453]~E(x24531,x24532)+E(f439(x24533,x24531),f439(x24533,x24532)) % 166.65/166.37 [2454]~E(x24541,x24542)+E(f515(x24541,x24543,x24544),f515(x24542,x24543,x24544)) % 166.65/166.37 [2455]~E(x24551,x24552)+E(f515(x24553,x24551,x24554),f515(x24553,x24552,x24554)) % 166.65/166.37 [2456]~E(x24561,x24562)+E(f515(x24563,x24564,x24561),f515(x24563,x24564,x24562)) % 166.65/166.37 [2457]~E(x24571,x24572)+E(f861(x24571,x24573,x24574),f861(x24572,x24573,x24574)) % 166.65/166.37 [2458]~E(x24581,x24582)+E(f861(x24583,x24581,x24584),f861(x24583,x24582,x24584)) % 166.65/166.37 [2459]~E(x24591,x24592)+E(f861(x24593,x24594,x24591),f861(x24593,x24594,x24592)) % 166.65/166.37 [2460]~E(x24601,x24602)+E(f672(x24601,x24603,x24604,x24605),f672(x24602,x24603,x24604,x24605)) % 166.65/166.37 [2461]~E(x24611,x24612)+E(f672(x24613,x24611,x24614,x24615),f672(x24613,x24612,x24614,x24615)) % 166.65/166.37 [2462]~E(x24621,x24622)+E(f672(x24623,x24624,x24621,x24625),f672(x24623,x24624,x24622,x24625)) % 166.65/166.37 [2463]~E(x24631,x24632)+E(f672(x24633,x24634,x24635,x24631),f672(x24633,x24634,x24635,x24632)) % 166.65/166.37 [2464]~E(x24641,x24642)+E(f405(x24641,x24643,x24644),f405(x24642,x24643,x24644)) % 166.65/166.37 [2465]~E(x24651,x24652)+E(f405(x24653,x24651,x24654),f405(x24653,x24652,x24654)) % 166.65/166.37 [2466]~E(x24661,x24662)+E(f405(x24663,x24664,x24661),f405(x24663,x24664,x24662)) % 166.65/166.37 [2467]~E(x24671,x24672)+E(f564(x24671,x24673,x24674,x24675),f564(x24672,x24673,x24674,x24675)) % 166.65/166.37 [2468]~E(x24681,x24682)+E(f564(x24683,x24681,x24684,x24685),f564(x24683,x24682,x24684,x24685)) % 166.65/166.37 [2469]~E(x24691,x24692)+E(f564(x24693,x24694,x24691,x24695),f564(x24693,x24694,x24692,x24695)) % 166.65/166.37 [2470]~E(x24701,x24702)+E(f564(x24703,x24704,x24705,x24701),f564(x24703,x24704,x24705,x24702)) % 166.65/166.37 [2471]~E(x24711,x24712)+E(f406(x24711,x24713,x24714),f406(x24712,x24713,x24714)) % 166.65/166.37 [2472]~E(x24721,x24722)+E(f406(x24723,x24721,x24724),f406(x24723,x24722,x24724)) % 166.65/166.37 [2473]~E(x24731,x24732)+E(f406(x24733,x24734,x24731),f406(x24733,x24734,x24732)) % 166.65/166.37 [2474]~E(x24741,x24742)+E(f762(x24741,x24743),f762(x24742,x24743)) % 166.65/166.37 [2475]~E(x24751,x24752)+E(f762(x24753,x24751),f762(x24753,x24752)) % 166.65/166.37 [2476]~E(x24761,x24762)+E(f614(x24761,x24763,x24764,x24765),f614(x24762,x24763,x24764,x24765)) % 166.65/166.37 [2477]~E(x24771,x24772)+E(f614(x24773,x24771,x24774,x24775),f614(x24773,x24772,x24774,x24775)) % 166.65/166.37 [2478]~E(x24781,x24782)+E(f614(x24783,x24784,x24781,x24785),f614(x24783,x24784,x24782,x24785)) % 166.65/166.37 [2479]~E(x24791,x24792)+E(f614(x24793,x24794,x24795,x24791),f614(x24793,x24794,x24795,x24792)) % 166.65/166.37 [2480]~E(x24801,x24802)+E(f429(x24801,x24803,x24804,x24805),f429(x24802,x24803,x24804,x24805)) % 166.65/166.37 [2481]~E(x24811,x24812)+E(f429(x24813,x24811,x24814,x24815),f429(x24813,x24812,x24814,x24815)) % 166.65/166.37 [2482]~E(x24821,x24822)+E(f429(x24823,x24824,x24821,x24825),f429(x24823,x24824,x24822,x24825)) % 166.65/166.37 [2483]~E(x24831,x24832)+E(f429(x24833,x24834,x24835,x24831),f429(x24833,x24834,x24835,x24832)) % 166.65/166.37 [2484]~E(x24841,x24842)+E(f338(x24841),f338(x24842)) % 166.65/166.37 [2485]~E(x24851,x24852)+E(f612(x24851,x24853,x24854),f612(x24852,x24853,x24854)) % 166.65/166.37 [2486]~E(x24861,x24862)+E(f612(x24863,x24861,x24864),f612(x24863,x24862,x24864)) % 166.65/166.37 [2487]~E(x24871,x24872)+E(f612(x24873,x24874,x24871),f612(x24873,x24874,x24872)) % 166.65/166.37 [2488]~E(x24881,x24882)+E(f210(x24881,x24883,x24884,x24885),f210(x24882,x24883,x24884,x24885)) % 166.65/166.37 [2489]~E(x24891,x24892)+E(f210(x24893,x24891,x24894,x24895),f210(x24893,x24892,x24894,x24895)) % 166.65/166.37 [2490]~E(x24901,x24902)+E(f210(x24903,x24904,x24901,x24905),f210(x24903,x24904,x24902,x24905)) % 166.65/166.37 [2491]~E(x24911,x24912)+E(f210(x24913,x24914,x24915,x24911),f210(x24913,x24914,x24915,x24912)) % 166.65/166.37 [2492]~E(x24921,x24922)+E(f569(x24921,x24923),f569(x24922,x24923)) % 166.65/166.37 [2493]~E(x24931,x24932)+E(f569(x24933,x24931),f569(x24933,x24932)) % 166.65/166.37 [2494]~E(x24941,x24942)+E(f843(x24941,x24943,x24944),f843(x24942,x24943,x24944)) % 166.65/166.37 [2495]~E(x24951,x24952)+E(f843(x24953,x24951,x24954),f843(x24953,x24952,x24954)) % 166.65/166.37 [2496]~E(x24961,x24962)+E(f843(x24963,x24964,x24961),f843(x24963,x24964,x24962)) % 166.65/166.37 [2497]~E(x24971,x24972)+E(f401(x24971,x24973,x24974,x24975,x24976),f401(x24972,x24973,x24974,x24975,x24976)) % 166.65/166.37 [2498]~E(x24981,x24982)+E(f401(x24983,x24981,x24984,x24985,x24986),f401(x24983,x24982,x24984,x24985,x24986)) % 166.65/166.37 [2499]~E(x24991,x24992)+E(f401(x24993,x24994,x24991,x24995,x24996),f401(x24993,x24994,x24992,x24995,x24996)) % 166.65/166.37 [2500]~E(x25001,x25002)+E(f401(x25003,x25004,x25005,x25001,x25006),f401(x25003,x25004,x25005,x25002,x25006)) % 166.65/166.37 [2501]~E(x25011,x25012)+E(f401(x25013,x25014,x25015,x25016,x25011),f401(x25013,x25014,x25015,x25016,x25012)) % 166.65/166.37 [2502]~E(x25021,x25022)+E(f563(x25021,x25023,x25024,x25025,x25026),f563(x25022,x25023,x25024,x25025,x25026)) % 166.65/166.37 [2503]~E(x25031,x25032)+E(f563(x25033,x25031,x25034,x25035,x25036),f563(x25033,x25032,x25034,x25035,x25036)) % 166.65/166.37 [2504]~E(x25041,x25042)+E(f563(x25043,x25044,x25041,x25045,x25046),f563(x25043,x25044,x25042,x25045,x25046)) % 166.65/166.37 [2505]~E(x25051,x25052)+E(f563(x25053,x25054,x25055,x25051,x25056),f563(x25053,x25054,x25055,x25052,x25056)) % 166.65/166.37 [2506]~E(x25061,x25062)+E(f563(x25063,x25064,x25065,x25066,x25061),f563(x25063,x25064,x25065,x25066,x25062)) % 166.65/166.37 [2507]~E(x25071,x25072)+E(f265(x25071,x25073,x25074,x25075,x25076),f265(x25072,x25073,x25074,x25075,x25076)) % 166.65/166.37 [2508]~E(x25081,x25082)+E(f265(x25083,x25081,x25084,x25085,x25086),f265(x25083,x25082,x25084,x25085,x25086)) % 166.65/166.37 [2509]~E(x25091,x25092)+E(f265(x25093,x25094,x25091,x25095,x25096),f265(x25093,x25094,x25092,x25095,x25096)) % 166.65/166.37 [2510]~E(x25101,x25102)+E(f265(x25103,x25104,x25105,x25101,x25106),f265(x25103,x25104,x25105,x25102,x25106)) % 166.65/166.37 [2511]~E(x25111,x25112)+E(f265(x25113,x25114,x25115,x25116,x25111),f265(x25113,x25114,x25115,x25116,x25112)) % 166.65/166.37 [2512]~E(x25121,x25122)+E(f252(x25121,x25123,x25124),f252(x25122,x25123,x25124)) % 166.65/166.37 [2513]~E(x25131,x25132)+E(f252(x25133,x25131,x25134),f252(x25133,x25132,x25134)) % 166.65/166.37 [2514]~E(x25141,x25142)+E(f252(x25143,x25144,x25141),f252(x25143,x25144,x25142)) % 166.65/166.37 [2515]~E(x25151,x25152)+E(f856(x25151,x25153,x25154),f856(x25152,x25153,x25154)) % 166.65/166.37 [2516]~E(x25161,x25162)+E(f856(x25163,x25161,x25164),f856(x25163,x25162,x25164)) % 166.65/166.37 [2517]~E(x25171,x25172)+E(f856(x25173,x25174,x25171),f856(x25173,x25174,x25172)) % 166.65/166.37 [2518]~E(x25181,x25182)+E(f769(x25181,x25183,x25184,x25185,x25186,x25187,x25188),f769(x25182,x25183,x25184,x25185,x25186,x25187,x25188)) % 166.65/166.37 [2519]~E(x25191,x25192)+E(f769(x25193,x25191,x25194,x25195,x25196,x25197,x25198),f769(x25193,x25192,x25194,x25195,x25196,x25197,x25198)) % 166.65/166.37 [2520]~E(x25201,x25202)+E(f769(x25203,x25204,x25201,x25205,x25206,x25207,x25208),f769(x25203,x25204,x25202,x25205,x25206,x25207,x25208)) % 166.65/166.37 [2521]~E(x25211,x25212)+E(f769(x25213,x25214,x25215,x25211,x25216,x25217,x25218),f769(x25213,x25214,x25215,x25212,x25216,x25217,x25218)) % 166.65/166.37 [2522]~E(x25221,x25222)+E(f769(x25223,x25224,x25225,x25226,x25221,x25227,x25228),f769(x25223,x25224,x25225,x25226,x25222,x25227,x25228)) % 166.65/166.37 [2523]~E(x25231,x25232)+E(f769(x25233,x25234,x25235,x25236,x25237,x25231,x25238),f769(x25233,x25234,x25235,x25236,x25237,x25232,x25238)) % 166.65/166.37 [2524]~E(x25241,x25242)+E(f769(x25243,x25244,x25245,x25246,x25247,x25248,x25241),f769(x25243,x25244,x25245,x25246,x25247,x25248,x25242)) % 166.65/166.37 [2525]~E(x25251,x25252)+E(f827(x25251,x25253),f827(x25252,x25253)) % 166.65/166.37 [2526]~E(x25261,x25262)+E(f827(x25263,x25261),f827(x25263,x25262)) % 166.65/166.37 [2527]~E(x25271,x25272)+E(f199(x25271,x25273,x25274,x25275),f199(x25272,x25273,x25274,x25275)) % 166.65/166.37 [2528]~E(x25281,x25282)+E(f199(x25283,x25281,x25284,x25285),f199(x25283,x25282,x25284,x25285)) % 166.65/166.37 [2529]~E(x25291,x25292)+E(f199(x25293,x25294,x25291,x25295),f199(x25293,x25294,x25292,x25295)) % 166.65/166.37 [2530]~E(x25301,x25302)+E(f199(x25303,x25304,x25305,x25301),f199(x25303,x25304,x25305,x25302)) % 166.65/166.37 [2531]~E(x25311,x25312)+E(f735(x25311,x25313,x25314),f735(x25312,x25313,x25314)) % 166.65/166.37 [2532]~E(x25321,x25322)+E(f735(x25323,x25321,x25324),f735(x25323,x25322,x25324)) % 166.65/166.37 [2533]~E(x25331,x25332)+E(f735(x25333,x25334,x25331),f735(x25333,x25334,x25332)) % 166.65/166.37 [2534]~E(x25341,x25342)+E(f565(x25341,x25343),f565(x25342,x25343)) % 166.65/166.37 [2535]~E(x25351,x25352)+E(f565(x25353,x25351),f565(x25353,x25352)) % 166.65/166.37 [2536]~E(x25361,x25362)+E(f760(x25361,x25363),f760(x25362,x25363)) % 166.65/166.37 [2537]~E(x25371,x25372)+E(f760(x25373,x25371),f760(x25373,x25372)) % 166.65/166.37 [2538]~E(x25381,x25382)+E(f804(x25381),f804(x25382)) % 166.65/166.37 [2539]~E(x25391,x25392)+E(f648(x25391,x25393,x25394,x25395),f648(x25392,x25393,x25394,x25395)) % 166.65/166.37 [2540]~E(x25401,x25402)+E(f648(x25403,x25401,x25404,x25405),f648(x25403,x25402,x25404,x25405)) % 166.65/166.37 [2541]~E(x25411,x25412)+E(f648(x25413,x25414,x25411,x25415),f648(x25413,x25414,x25412,x25415)) % 166.65/166.37 [2542]~E(x25421,x25422)+E(f648(x25423,x25424,x25425,x25421),f648(x25423,x25424,x25425,x25422)) % 166.65/166.37 [2543]~E(x25431,x25432)+E(f200(x25431,x25433,x25434,x25435),f200(x25432,x25433,x25434,x25435)) % 166.65/166.37 [2544]~E(x25441,x25442)+E(f200(x25443,x25441,x25444,x25445),f200(x25443,x25442,x25444,x25445)) % 166.65/166.37 [2545]~E(x25451,x25452)+E(f200(x25453,x25454,x25451,x25455),f200(x25453,x25454,x25452,x25455)) % 166.65/166.37 [2546]~E(x25461,x25462)+E(f200(x25463,x25464,x25465,x25461),f200(x25463,x25464,x25465,x25462)) % 166.65/166.37 [2547]~E(x25471,x25472)+E(f703(x25471,x25473,x25474,x25475),f703(x25472,x25473,x25474,x25475)) % 166.65/166.37 [2548]~E(x25481,x25482)+E(f703(x25483,x25481,x25484,x25485),f703(x25483,x25482,x25484,x25485)) % 166.65/166.37 [2549]~E(x25491,x25492)+E(f703(x25493,x25494,x25491,x25495),f703(x25493,x25494,x25492,x25495)) % 166.65/166.37 [2550]~E(x25501,x25502)+E(f703(x25503,x25504,x25505,x25501),f703(x25503,x25504,x25505,x25502)) % 166.65/166.37 [2551]~E(x25511,x25512)+E(f359(x25511,x25513,x25514,x25515),f359(x25512,x25513,x25514,x25515)) % 166.65/166.37 [2552]~E(x25521,x25522)+E(f359(x25523,x25521,x25524,x25525),f359(x25523,x25522,x25524,x25525)) % 166.65/166.37 [2553]~E(x25531,x25532)+E(f359(x25533,x25534,x25531,x25535),f359(x25533,x25534,x25532,x25535)) % 166.65/166.37 [2554]~E(x25541,x25542)+E(f359(x25543,x25544,x25545,x25541),f359(x25543,x25544,x25545,x25542)) % 166.65/166.37 [2555]~E(x25551,x25552)+E(f692(x25551,x25553,x25554,x25555),f692(x25552,x25553,x25554,x25555)) % 166.65/166.37 [2556]~E(x25561,x25562)+E(f692(x25563,x25561,x25564,x25565),f692(x25563,x25562,x25564,x25565)) % 166.65/166.37 [2557]~E(x25571,x25572)+E(f692(x25573,x25574,x25571,x25575),f692(x25573,x25574,x25572,x25575)) % 166.65/166.37 [2558]~E(x25581,x25582)+E(f692(x25583,x25584,x25585,x25581),f692(x25583,x25584,x25585,x25582)) % 166.65/166.37 [2559]~E(x25591,x25592)+E(f96(x25591,x25593,x25594),f96(x25592,x25593,x25594)) % 166.65/166.37 [2560]~E(x25601,x25602)+E(f96(x25603,x25601,x25604),f96(x25603,x25602,x25604)) % 166.65/166.37 [2561]~E(x25611,x25612)+E(f96(x25613,x25614,x25611),f96(x25613,x25614,x25612)) % 166.65/166.37 [2562]~E(x25621,x25622)+E(f353(x25621),f353(x25622)) % 166.65/166.37 [2563]~E(x25631,x25632)+E(f97(x25631,x25633,x25634,x25635),f97(x25632,x25633,x25634,x25635)) % 166.65/166.37 [2564]~E(x25641,x25642)+E(f97(x25643,x25641,x25644,x25645),f97(x25643,x25642,x25644,x25645)) % 166.65/166.37 [2565]~E(x25651,x25652)+E(f97(x25653,x25654,x25651,x25655),f97(x25653,x25654,x25652,x25655)) % 166.65/166.37 [2566]~E(x25661,x25662)+E(f97(x25663,x25664,x25665,x25661),f97(x25663,x25664,x25665,x25662)) % 166.65/166.37 [2567]~E(x25671,x25672)+E(f428(x25671,x25673,x25674,x25675),f428(x25672,x25673,x25674,x25675)) % 166.65/166.37 [2568]~E(x25681,x25682)+E(f428(x25683,x25681,x25684,x25685),f428(x25683,x25682,x25684,x25685)) % 166.65/166.37 [2569]~E(x25691,x25692)+E(f428(x25693,x25694,x25691,x25695),f428(x25693,x25694,x25692,x25695)) % 166.65/166.37 [2570]~E(x25701,x25702)+E(f428(x25703,x25704,x25705,x25701),f428(x25703,x25704,x25705,x25702)) % 166.65/166.37 [2571]~E(x25711,x25712)+E(f537(x25711,x25713,x25714,x25715),f537(x25712,x25713,x25714,x25715)) % 166.65/166.37 [2572]~E(x25721,x25722)+E(f537(x25723,x25721,x25724,x25725),f537(x25723,x25722,x25724,x25725)) % 166.65/166.37 [2573]~E(x25731,x25732)+E(f537(x25733,x25734,x25731,x25735),f537(x25733,x25734,x25732,x25735)) % 166.65/166.37 [2574]~E(x25741,x25742)+E(f537(x25743,x25744,x25745,x25741),f537(x25743,x25744,x25745,x25742)) % 166.65/166.37 [2575]~E(x25751,x25752)+E(f508(x25751,x25753,x25754),f508(x25752,x25753,x25754)) % 166.65/166.37 [2576]~E(x25761,x25762)+E(f508(x25763,x25761,x25764),f508(x25763,x25762,x25764)) % 166.65/166.37 [2577]~E(x25771,x25772)+E(f508(x25773,x25774,x25771),f508(x25773,x25774,x25772)) % 166.65/166.37 [2578]~E(x25781,x25782)+E(f800(x25781,x25783,x25784,x25785,x25786),f800(x25782,x25783,x25784,x25785,x25786)) % 166.65/166.37 [2579]~E(x25791,x25792)+E(f800(x25793,x25791,x25794,x25795,x25796),f800(x25793,x25792,x25794,x25795,x25796)) % 166.65/166.37 [2580]~E(x25801,x25802)+E(f800(x25803,x25804,x25801,x25805,x25806),f800(x25803,x25804,x25802,x25805,x25806)) % 166.65/166.37 [2581]~E(x25811,x25812)+E(f800(x25813,x25814,x25815,x25811,x25816),f800(x25813,x25814,x25815,x25812,x25816)) % 166.65/166.37 [2582]~E(x25821,x25822)+E(f800(x25823,x25824,x25825,x25826,x25821),f800(x25823,x25824,x25825,x25826,x25822)) % 166.65/166.37 [2583]~E(x25831,x25832)+E(f229(x25831,x25833,x25834,x25835,x25836),f229(x25832,x25833,x25834,x25835,x25836)) % 166.65/166.37 [2584]~E(x25841,x25842)+E(f229(x25843,x25841,x25844,x25845,x25846),f229(x25843,x25842,x25844,x25845,x25846)) % 166.65/166.37 [2585]~E(x25851,x25852)+E(f229(x25853,x25854,x25851,x25855,x25856),f229(x25853,x25854,x25852,x25855,x25856)) % 166.65/166.37 [2586]~E(x25861,x25862)+E(f229(x25863,x25864,x25865,x25861,x25866),f229(x25863,x25864,x25865,x25862,x25866)) % 166.65/166.37 [2587]~E(x25871,x25872)+E(f229(x25873,x25874,x25875,x25876,x25871),f229(x25873,x25874,x25875,x25876,x25872)) % 166.65/166.37 [2588]~E(x25881,x25882)+E(f416(x25881,x25883,x25884),f416(x25882,x25883,x25884)) % 166.65/166.37 [2589]~E(x25891,x25892)+E(f416(x25893,x25891,x25894),f416(x25893,x25892,x25894)) % 166.65/166.37 [2590]~E(x25901,x25902)+E(f416(x25903,x25904,x25901),f416(x25903,x25904,x25902)) % 166.65/166.37 [2591]~E(x25911,x25912)+E(f481(x25911,x25913,x25914,x25915,x25916,x25917),f481(x25912,x25913,x25914,x25915,x25916,x25917)) % 166.65/166.37 [2592]~E(x25921,x25922)+E(f481(x25923,x25921,x25924,x25925,x25926,x25927),f481(x25923,x25922,x25924,x25925,x25926,x25927)) % 166.65/166.37 [2593]~E(x25931,x25932)+E(f481(x25933,x25934,x25931,x25935,x25936,x25937),f481(x25933,x25934,x25932,x25935,x25936,x25937)) % 166.65/166.37 [2594]~E(x25941,x25942)+E(f481(x25943,x25944,x25945,x25941,x25946,x25947),f481(x25943,x25944,x25945,x25942,x25946,x25947)) % 166.65/166.37 [2595]~E(x25951,x25952)+E(f481(x25953,x25954,x25955,x25956,x25951,x25957),f481(x25953,x25954,x25955,x25956,x25952,x25957)) % 166.65/166.37 [2596]~E(x25961,x25962)+E(f481(x25963,x25964,x25965,x25966,x25967,x25961),f481(x25963,x25964,x25965,x25966,x25967,x25962)) % 166.65/166.37 [2597]~E(x25971,x25972)+E(f794(x25971,x25973,x25974),f794(x25972,x25973,x25974)) % 166.65/166.37 [2598]~E(x25981,x25982)+E(f794(x25983,x25981,x25984),f794(x25983,x25982,x25984)) % 166.65/166.37 [2599]~E(x25991,x25992)+E(f794(x25993,x25994,x25991),f794(x25993,x25994,x25992)) % 166.65/166.37 [2600]~E(x26001,x26002)+E(f618(x26001,x26003,x26004,x26005),f618(x26002,x26003,x26004,x26005)) % 166.65/166.37 [2601]~E(x26011,x26012)+E(f618(x26013,x26011,x26014,x26015),f618(x26013,x26012,x26014,x26015)) % 166.65/166.37 [2602]~E(x26021,x26022)+E(f618(x26023,x26024,x26021,x26025),f618(x26023,x26024,x26022,x26025)) % 166.65/166.37 [2603]~E(x26031,x26032)+E(f618(x26033,x26034,x26035,x26031),f618(x26033,x26034,x26035,x26032)) % 166.65/166.37 [2604]~E(x26041,x26042)+E(f550(x26041,x26043),f550(x26042,x26043)) % 166.65/166.37 [2605]~E(x26051,x26052)+E(f550(x26053,x26051),f550(x26053,x26052)) % 166.65/166.37 [2606]~E(x26061,x26062)+E(f226(x26061,x26063,x26064),f226(x26062,x26063,x26064)) % 166.65/166.37 [2607]~E(x26071,x26072)+E(f226(x26073,x26071,x26074),f226(x26073,x26072,x26074)) % 166.65/166.37 [2608]~E(x26081,x26082)+E(f226(x26083,x26084,x26081),f226(x26083,x26084,x26082)) % 166.65/166.37 [2609]~E(x26091,x26092)+E(f17(x26091,x26093,x26094,x26095),f17(x26092,x26093,x26094,x26095)) % 166.65/166.37 [2610]~E(x26101,x26102)+E(f17(x26103,x26101,x26104,x26105),f17(x26103,x26102,x26104,x26105)) % 166.65/166.37 [2611]~E(x26111,x26112)+E(f17(x26113,x26114,x26111,x26115),f17(x26113,x26114,x26112,x26115)) % 166.65/166.37 [2612]~E(x26121,x26122)+E(f17(x26123,x26124,x26125,x26121),f17(x26123,x26124,x26125,x26122)) % 166.65/166.37 [2613]~E(x26131,x26132)+E(f579(x26131,x26133,x26134,x26135,x26136,x26137),f579(x26132,x26133,x26134,x26135,x26136,x26137)) % 166.65/166.37 [2614]~E(x26141,x26142)+E(f579(x26143,x26141,x26144,x26145,x26146,x26147),f579(x26143,x26142,x26144,x26145,x26146,x26147)) % 166.65/166.37 [2615]~E(x26151,x26152)+E(f579(x26153,x26154,x26151,x26155,x26156,x26157),f579(x26153,x26154,x26152,x26155,x26156,x26157)) % 166.65/166.37 [2616]~E(x26161,x26162)+E(f579(x26163,x26164,x26165,x26161,x26166,x26167),f579(x26163,x26164,x26165,x26162,x26166,x26167)) % 166.65/166.37 [2617]~E(x26171,x26172)+E(f579(x26173,x26174,x26175,x26176,x26171,x26177),f579(x26173,x26174,x26175,x26176,x26172,x26177)) % 166.65/166.37 [2618]~E(x26181,x26182)+E(f579(x26183,x26184,x26185,x26186,x26187,x26181),f579(x26183,x26184,x26185,x26186,x26187,x26182)) % 166.65/166.37 [2619]~E(x26191,x26192)+E(f337(x26191),f337(x26192)) % 166.65/166.37 [2620]~E(x26201,x26202)+E(f266(x26201,x26203,x26204,x26205,x26206),f266(x26202,x26203,x26204,x26205,x26206)) % 166.65/166.37 [2621]~E(x26211,x26212)+E(f266(x26213,x26211,x26214,x26215,x26216),f266(x26213,x26212,x26214,x26215,x26216)) % 166.65/166.37 [2622]~E(x26221,x26222)+E(f266(x26223,x26224,x26221,x26225,x26226),f266(x26223,x26224,x26222,x26225,x26226)) % 166.65/166.37 [2623]~E(x26231,x26232)+E(f266(x26233,x26234,x26235,x26231,x26236),f266(x26233,x26234,x26235,x26232,x26236)) % 166.65/166.37 [2624]~E(x26241,x26242)+E(f266(x26243,x26244,x26245,x26246,x26241),f266(x26243,x26244,x26245,x26246,x26242)) % 166.65/166.37 [2625]~E(x26251,x26252)+E(f586(x26251,x26253,x26254,x26255,x26256,x26257),f586(x26252,x26253,x26254,x26255,x26256,x26257)) % 166.65/166.37 [2626]~E(x26261,x26262)+E(f586(x26263,x26261,x26264,x26265,x26266,x26267),f586(x26263,x26262,x26264,x26265,x26266,x26267)) % 166.65/166.37 [2627]~E(x26271,x26272)+E(f586(x26273,x26274,x26271,x26275,x26276,x26277),f586(x26273,x26274,x26272,x26275,x26276,x26277)) % 166.65/166.37 [2628]~E(x26281,x26282)+E(f586(x26283,x26284,x26285,x26281,x26286,x26287),f586(x26283,x26284,x26285,x26282,x26286,x26287)) % 166.65/166.37 [2629]~E(x26291,x26292)+E(f586(x26293,x26294,x26295,x26296,x26291,x26297),f586(x26293,x26294,x26295,x26296,x26292,x26297)) % 166.65/166.37 [2630]~E(x26301,x26302)+E(f586(x26303,x26304,x26305,x26306,x26307,x26301),f586(x26303,x26304,x26305,x26306,x26307,x26302)) % 166.65/166.37 [2631]~E(x26311,x26312)+E(f432(x26311,x26313,x26314,x26315,x26316),f432(x26312,x26313,x26314,x26315,x26316)) % 166.65/166.37 [2632]~E(x26321,x26322)+E(f432(x26323,x26321,x26324,x26325,x26326),f432(x26323,x26322,x26324,x26325,x26326)) % 166.65/166.37 [2633]~E(x26331,x26332)+E(f432(x26333,x26334,x26331,x26335,x26336),f432(x26333,x26334,x26332,x26335,x26336)) % 166.65/166.37 [2634]~E(x26341,x26342)+E(f432(x26343,x26344,x26345,x26341,x26346),f432(x26343,x26344,x26345,x26342,x26346)) % 166.65/166.37 [2635]~E(x26351,x26352)+E(f432(x26353,x26354,x26355,x26356,x26351),f432(x26353,x26354,x26355,x26356,x26352)) % 166.65/166.37 [2636]~E(x26361,x26362)+E(f677(x26361,x26363,x26364,x26365,x26366),f677(x26362,x26363,x26364,x26365,x26366)) % 166.65/166.37 [2637]~E(x26371,x26372)+E(f677(x26373,x26371,x26374,x26375,x26376),f677(x26373,x26372,x26374,x26375,x26376)) % 166.65/166.37 [2638]~E(x26381,x26382)+E(f677(x26383,x26384,x26381,x26385,x26386),f677(x26383,x26384,x26382,x26385,x26386)) % 166.65/166.37 [2639]~E(x26391,x26392)+E(f677(x26393,x26394,x26395,x26391,x26396),f677(x26393,x26394,x26395,x26392,x26396)) % 166.65/166.37 [2640]~E(x26401,x26402)+E(f677(x26403,x26404,x26405,x26406,x26401),f677(x26403,x26404,x26405,x26406,x26402)) % 166.65/166.37 [2641]~E(x26411,x26412)+E(f423(x26411,x26413,x26414,x26415,x26416),f423(x26412,x26413,x26414,x26415,x26416)) % 166.65/166.37 [2642]~E(x26421,x26422)+E(f423(x26423,x26421,x26424,x26425,x26426),f423(x26423,x26422,x26424,x26425,x26426)) % 166.65/166.37 [2643]~E(x26431,x26432)+E(f423(x26433,x26434,x26431,x26435,x26436),f423(x26433,x26434,x26432,x26435,x26436)) % 166.65/166.37 [2644]~E(x26441,x26442)+E(f423(x26443,x26444,x26445,x26441,x26446),f423(x26443,x26444,x26445,x26442,x26446)) % 166.65/166.37 [2645]~E(x26451,x26452)+E(f423(x26453,x26454,x26455,x26456,x26451),f423(x26453,x26454,x26455,x26456,x26452)) % 166.65/166.37 [2646]~E(x26461,x26462)+E(f542(x26461,x26463,x26464,x26465),f542(x26462,x26463,x26464,x26465)) % 166.65/166.37 [2647]~E(x26471,x26472)+E(f542(x26473,x26471,x26474,x26475),f542(x26473,x26472,x26474,x26475)) % 166.65/166.37 [2648]~E(x26481,x26482)+E(f542(x26483,x26484,x26481,x26485),f542(x26483,x26484,x26482,x26485)) % 166.65/166.37 [2649]~E(x26491,x26492)+E(f542(x26493,x26494,x26495,x26491),f542(x26493,x26494,x26495,x26492)) % 166.65/166.37 [2650]~E(x26501,x26502)+E(f551(x26501,x26503),f551(x26502,x26503)) % 166.65/166.37 [2651]~E(x26511,x26512)+E(f551(x26513,x26511),f551(x26513,x26512)) % 166.65/166.37 [2652]~E(x26521,x26522)+E(f718(x26521,x26523,x26524,x26525),f718(x26522,x26523,x26524,x26525)) % 166.65/166.37 [2653]~E(x26531,x26532)+E(f718(x26533,x26531,x26534,x26535),f718(x26533,x26532,x26534,x26535)) % 166.65/166.37 [2654]~E(x26541,x26542)+E(f718(x26543,x26544,x26541,x26545),f718(x26543,x26544,x26542,x26545)) % 166.65/166.37 [2655]~E(x26551,x26552)+E(f718(x26553,x26554,x26555,x26551),f718(x26553,x26554,x26555,x26552)) % 166.65/166.37 [2656]~E(x26561,x26562)+E(f355(x26561,x26563,x26564),f355(x26562,x26563,x26564)) % 166.65/166.37 [2657]~E(x26571,x26572)+E(f355(x26573,x26571,x26574),f355(x26573,x26572,x26574)) % 166.65/166.37 [2658]~E(x26581,x26582)+E(f355(x26583,x26584,x26581),f355(x26583,x26584,x26582)) % 166.65/166.37 [2659]~E(x26591,x26592)+E(f580(x26591,x26593,x26594,x26595,x26596,x26597),f580(x26592,x26593,x26594,x26595,x26596,x26597)) % 166.65/166.37 [2660]~E(x26601,x26602)+E(f580(x26603,x26601,x26604,x26605,x26606,x26607),f580(x26603,x26602,x26604,x26605,x26606,x26607)) % 166.65/166.37 [2661]~E(x26611,x26612)+E(f580(x26613,x26614,x26611,x26615,x26616,x26617),f580(x26613,x26614,x26612,x26615,x26616,x26617)) % 166.65/166.37 [2662]~E(x26621,x26622)+E(f580(x26623,x26624,x26625,x26621,x26626,x26627),f580(x26623,x26624,x26625,x26622,x26626,x26627)) % 166.65/166.37 [2663]~E(x26631,x26632)+E(f580(x26633,x26634,x26635,x26636,x26631,x26637),f580(x26633,x26634,x26635,x26636,x26632,x26637)) % 166.65/166.37 [2664]~E(x26641,x26642)+E(f580(x26643,x26644,x26645,x26646,x26647,x26641),f580(x26643,x26644,x26645,x26646,x26647,x26642)) % 166.65/166.37 [2665]~E(x26651,x26652)+E(f738(x26651,x26653,x26654,x26655,x26656),f738(x26652,x26653,x26654,x26655,x26656)) % 166.65/166.37 [2666]~E(x26661,x26662)+E(f738(x26663,x26661,x26664,x26665,x26666),f738(x26663,x26662,x26664,x26665,x26666)) % 166.65/166.37 [2667]~E(x26671,x26672)+E(f738(x26673,x26674,x26671,x26675,x26676),f738(x26673,x26674,x26672,x26675,x26676)) % 166.65/166.37 [2668]~E(x26681,x26682)+E(f738(x26683,x26684,x26685,x26681,x26686),f738(x26683,x26684,x26685,x26682,x26686)) % 166.65/166.37 [2669]~E(x26691,x26692)+E(f738(x26693,x26694,x26695,x26696,x26691),f738(x26693,x26694,x26695,x26696,x26692)) % 166.65/166.37 [2670]~E(x26701,x26702)+E(f516(x26701,x26703,x26704,x26705,x26706,x26707),f516(x26702,x26703,x26704,x26705,x26706,x26707)) % 166.65/166.37 [2671]~E(x26711,x26712)+E(f516(x26713,x26711,x26714,x26715,x26716,x26717),f516(x26713,x26712,x26714,x26715,x26716,x26717)) % 166.65/166.37 [2672]~E(x26721,x26722)+E(f516(x26723,x26724,x26721,x26725,x26726,x26727),f516(x26723,x26724,x26722,x26725,x26726,x26727)) % 166.65/166.37 [2673]~E(x26731,x26732)+E(f516(x26733,x26734,x26735,x26731,x26736,x26737),f516(x26733,x26734,x26735,x26732,x26736,x26737)) % 166.65/166.37 [2674]~E(x26741,x26742)+E(f516(x26743,x26744,x26745,x26746,x26741,x26747),f516(x26743,x26744,x26745,x26746,x26742,x26747)) % 166.65/166.37 [2675]~E(x26751,x26752)+E(f516(x26753,x26754,x26755,x26756,x26757,x26751),f516(x26753,x26754,x26755,x26756,x26757,x26752)) % 166.65/166.37 [2676]~E(x26761,x26762)+E(f737(x26761,x26763,x26764),f737(x26762,x26763,x26764)) % 166.65/166.37 [2677]~E(x26771,x26772)+E(f737(x26773,x26771,x26774),f737(x26773,x26772,x26774)) % 166.65/166.37 [2678]~E(x26781,x26782)+E(f737(x26783,x26784,x26781),f737(x26783,x26784,x26782)) % 166.65/166.37 [2679]~E(x26791,x26792)+E(f562(x26791,x26793,x26794,x26795),f562(x26792,x26793,x26794,x26795)) % 166.65/166.37 [2680]~E(x26801,x26802)+E(f562(x26803,x26801,x26804,x26805),f562(x26803,x26802,x26804,x26805)) % 166.65/166.37 [2681]~E(x26811,x26812)+E(f562(x26813,x26814,x26811,x26815),f562(x26813,x26814,x26812,x26815)) % 166.65/166.37 [2682]~E(x26821,x26822)+E(f562(x26823,x26824,x26825,x26821),f562(x26823,x26824,x26825,x26822)) % 166.65/166.37 [2683]~E(x26831,x26832)+E(f532(x26831),f532(x26832)) % 166.65/166.37 [2684]~E(x26841,x26842)+E(f680(x26841,x26843,x26844,x26845,x26846),f680(x26842,x26843,x26844,x26845,x26846)) % 166.65/166.37 [2685]~E(x26851,x26852)+E(f680(x26853,x26851,x26854,x26855,x26856),f680(x26853,x26852,x26854,x26855,x26856)) % 166.65/166.37 [2686]~E(x26861,x26862)+E(f680(x26863,x26864,x26861,x26865,x26866),f680(x26863,x26864,x26862,x26865,x26866)) % 166.65/166.37 [2687]~E(x26871,x26872)+E(f680(x26873,x26874,x26875,x26871,x26876),f680(x26873,x26874,x26875,x26872,x26876)) % 166.65/166.37 [2688]~E(x26881,x26882)+E(f680(x26883,x26884,x26885,x26886,x26881),f680(x26883,x26884,x26885,x26886,x26882)) % 166.65/166.37 [2689]~E(x26891,x26892)+E(f727(x26891,x26893,x26894),f727(x26892,x26893,x26894)) % 166.65/166.37 [2690]~E(x26901,x26902)+E(f727(x26903,x26901,x26904),f727(x26903,x26902,x26904)) % 166.65/166.37 [2691]~E(x26911,x26912)+E(f727(x26913,x26914,x26911),f727(x26913,x26914,x26912)) % 166.65/166.37 [2692]~E(x26921,x26922)+E(f98(x26921,x26923,x26924,x26925),f98(x26922,x26923,x26924,x26925)) % 166.65/166.37 [2693]~E(x26931,x26932)+E(f98(x26933,x26931,x26934,x26935),f98(x26933,x26932,x26934,x26935)) % 166.65/166.37 [2694]~E(x26941,x26942)+E(f98(x26943,x26944,x26941,x26945),f98(x26943,x26944,x26942,x26945)) % 166.65/166.37 [2695]~E(x26951,x26952)+E(f98(x26953,x26954,x26955,x26951),f98(x26953,x26954,x26955,x26952)) % 166.65/166.37 [2696]~E(x26961,x26962)+E(f711(x26961,x26963,x26964),f711(x26962,x26963,x26964)) % 166.65/166.37 [2697]~E(x26971,x26972)+E(f711(x26973,x26971,x26974),f711(x26973,x26972,x26974)) % 166.65/166.37 [2698]~E(x26981,x26982)+E(f711(x26983,x26984,x26981),f711(x26983,x26984,x26982)) % 166.65/166.37 [2699]~E(x26991,x26992)+E(f430(x26991,x26993,x26994,x26995),f430(x26992,x26993,x26994,x26995)) % 166.65/166.37 [2700]~E(x27001,x27002)+E(f430(x27003,x27001,x27004,x27005),f430(x27003,x27002,x27004,x27005)) % 166.65/166.37 [2701]~E(x27011,x27012)+E(f430(x27013,x27014,x27011,x27015),f430(x27013,x27014,x27012,x27015)) % 166.65/166.37 [2702]~E(x27021,x27022)+E(f430(x27023,x27024,x27025,x27021),f430(x27023,x27024,x27025,x27022)) % 166.65/166.37 [2703]~E(x27031,x27032)+E(f842(x27031,x27033),f842(x27032,x27033)) % 166.65/166.37 [2704]~E(x27041,x27042)+E(f842(x27043,x27041),f842(x27043,x27042)) % 166.65/166.37 [2705]~E(x27051,x27052)+E(f387(x27051),f387(x27052)) % 166.65/166.37 [2706]~E(x27061,x27062)+E(f688(x27061,x27063,x27064,x27065,x27066),f688(x27062,x27063,x27064,x27065,x27066)) % 166.65/166.37 [2707]~E(x27071,x27072)+E(f688(x27073,x27071,x27074,x27075,x27076),f688(x27073,x27072,x27074,x27075,x27076)) % 166.65/166.37 [2708]~E(x27081,x27082)+E(f688(x27083,x27084,x27081,x27085,x27086),f688(x27083,x27084,x27082,x27085,x27086)) % 166.65/166.37 [2709]~E(x27091,x27092)+E(f688(x27093,x27094,x27095,x27091,x27096),f688(x27093,x27094,x27095,x27092,x27096)) % 166.65/166.37 [2710]~E(x27101,x27102)+E(f688(x27103,x27104,x27105,x27106,x27101),f688(x27103,x27104,x27105,x27106,x27102)) % 166.65/166.37 [2711]~E(x27111,x27112)+E(f214(x27111,x27113,x27114,x27115),f214(x27112,x27113,x27114,x27115)) % 166.65/166.37 [2712]~E(x27121,x27122)+E(f214(x27123,x27121,x27124,x27125),f214(x27123,x27122,x27124,x27125)) % 166.65/166.37 [2713]~E(x27131,x27132)+E(f214(x27133,x27134,x27131,x27135),f214(x27133,x27134,x27132,x27135)) % 166.65/166.37 [2714]~E(x27141,x27142)+E(f214(x27143,x27144,x27145,x27141),f214(x27143,x27144,x27145,x27142)) % 166.65/166.37 [2715]~E(x27151,x27152)+E(f630(x27151,x27153,x27154,x27155,x27156),f630(x27152,x27153,x27154,x27155,x27156)) % 166.65/166.37 [2716]~E(x27161,x27162)+E(f630(x27163,x27161,x27164,x27165,x27166),f630(x27163,x27162,x27164,x27165,x27166)) % 166.65/166.37 [2717]~E(x27171,x27172)+E(f630(x27173,x27174,x27171,x27175,x27176),f630(x27173,x27174,x27172,x27175,x27176)) % 166.65/166.37 [2718]~E(x27181,x27182)+E(f630(x27183,x27184,x27185,x27181,x27186),f630(x27183,x27184,x27185,x27182,x27186)) % 166.65/166.37 [2719]~E(x27191,x27192)+E(f630(x27193,x27194,x27195,x27196,x27191),f630(x27193,x27194,x27195,x27196,x27192)) % 166.65/166.37 [2720]~E(x27201,x27202)+E(f512(x27201,x27203),f512(x27202,x27203)) % 166.65/166.37 [2721]~E(x27211,x27212)+E(f512(x27213,x27211),f512(x27213,x27212)) % 166.65/166.37 [2722]~E(x27221,x27222)+E(f228(x27221,x27223,x27224,x27225,x27226),f228(x27222,x27223,x27224,x27225,x27226)) % 166.65/166.37 [2723]~E(x27231,x27232)+E(f228(x27233,x27231,x27234,x27235,x27236),f228(x27233,x27232,x27234,x27235,x27236)) % 166.65/166.37 [2724]~E(x27241,x27242)+E(f228(x27243,x27244,x27241,x27245,x27246),f228(x27243,x27244,x27242,x27245,x27246)) % 166.65/166.37 [2725]~E(x27251,x27252)+E(f228(x27253,x27254,x27255,x27251,x27256),f228(x27253,x27254,x27255,x27252,x27256)) % 166.65/166.37 [2726]~E(x27261,x27262)+E(f228(x27263,x27264,x27265,x27266,x27261),f228(x27263,x27264,x27265,x27266,x27262)) % 166.65/166.37 [2727]~E(x27271,x27272)+E(f211(x27271,x27273,x27274,x27275,x27276,x27277,x27278),f211(x27272,x27273,x27274,x27275,x27276,x27277,x27278)) % 166.65/166.37 [2728]~E(x27281,x27282)+E(f211(x27283,x27281,x27284,x27285,x27286,x27287,x27288),f211(x27283,x27282,x27284,x27285,x27286,x27287,x27288)) % 166.65/166.37 [2729]~E(x27291,x27292)+E(f211(x27293,x27294,x27291,x27295,x27296,x27297,x27298),f211(x27293,x27294,x27292,x27295,x27296,x27297,x27298)) % 166.65/166.37 [2730]~E(x27301,x27302)+E(f211(x27303,x27304,x27305,x27301,x27306,x27307,x27308),f211(x27303,x27304,x27305,x27302,x27306,x27307,x27308)) % 166.65/166.37 [2731]~E(x27311,x27312)+E(f211(x27313,x27314,x27315,x27316,x27311,x27317,x27318),f211(x27313,x27314,x27315,x27316,x27312,x27317,x27318)) % 166.65/166.37 [2732]~E(x27321,x27322)+E(f211(x27323,x27324,x27325,x27326,x27327,x27321,x27328),f211(x27323,x27324,x27325,x27326,x27327,x27322,x27328)) % 166.65/166.37 [2733]~E(x27331,x27332)+E(f211(x27333,x27334,x27335,x27336,x27337,x27338,x27331),f211(x27333,x27334,x27335,x27336,x27337,x27338,x27332)) % 166.65/166.37 [2734]~E(x27341,x27342)+E(f500(x27341,x27343,x27344),f500(x27342,x27343,x27344)) % 166.65/166.37 [2735]~E(x27351,x27352)+E(f500(x27353,x27351,x27354),f500(x27353,x27352,x27354)) % 166.65/166.37 [2736]~E(x27361,x27362)+E(f500(x27363,x27364,x27361),f500(x27363,x27364,x27362)) % 166.65/166.37 [2737]~E(x27371,x27372)+E(f448(x27371),f448(x27372)) % 166.65/166.37 [2738]~E(x27381,x27382)+E(f671(x27381,x27383,x27384,x27385),f671(x27382,x27383,x27384,x27385)) % 166.65/166.37 [2739]~E(x27391,x27392)+E(f671(x27393,x27391,x27394,x27395),f671(x27393,x27392,x27394,x27395)) % 166.65/166.37 [2740]~E(x27401,x27402)+E(f671(x27403,x27404,x27401,x27405),f671(x27403,x27404,x27402,x27405)) % 166.65/166.37 [2741]~E(x27411,x27412)+E(f671(x27413,x27414,x27415,x27411),f671(x27413,x27414,x27415,x27412)) % 166.65/166.37 [2742]~E(x27421,x27422)+E(f389(x27421),f389(x27422)) % 166.65/166.37 [2743]~E(x27431,x27432)+E(f885(x27431,x27433),f885(x27432,x27433)) % 166.65/166.37 [2744]~E(x27441,x27442)+E(f885(x27443,x27441),f885(x27443,x27442)) % 166.65/166.37 [2745]~E(x27451,x27452)+E(f128(x27451),f128(x27452)) % 166.65/166.37 [2746]~E(x27461,x27462)+E(f575(x27461,x27463,x27464),f575(x27462,x27463,x27464)) % 166.65/166.37 [2747]~E(x27471,x27472)+E(f575(x27473,x27471,x27474),f575(x27473,x27472,x27474)) % 166.65/166.37 [2748]~E(x27481,x27482)+E(f575(x27483,x27484,x27481),f575(x27483,x27484,x27482)) % 166.65/166.37 [2749]~E(x27491,x27492)+E(f749(x27491,x27493),f749(x27492,x27493)) % 166.65/166.37 [2750]~E(x27501,x27502)+E(f749(x27503,x27501),f749(x27503,x27502)) % 166.65/166.37 [2751]~E(x27511,x27512)+E(f21(x27511,x27513),f21(x27512,x27513)) % 166.65/166.37 [2752]~E(x27521,x27522)+E(f21(x27523,x27521),f21(x27523,x27522)) % 166.65/166.37 [2753]~E(x27531,x27532)+E(f772(x27531,x27533),f772(x27532,x27533)) % 166.65/166.37 [2754]~E(x27541,x27542)+E(f772(x27543,x27541),f772(x27543,x27542)) % 166.65/166.37 [2755]~P1(x27551)+P1(x27552)+~E(x27551,x27552) % 166.65/166.37 [2756]~P2(x27561)+P2(x27562)+~E(x27561,x27562) % 166.65/166.37 [2757]~P112(x27571)+P112(x27572)+~E(x27571,x27572) % 166.65/166.37 [2758]~P104(x27581)+P104(x27582)+~E(x27581,x27582) % 166.65/166.37 [2759]~P103(x27591)+P103(x27592)+~E(x27591,x27592) % 166.65/166.37 [2760]~P89(x27601)+P89(x27602)+~E(x27601,x27602) % 166.65/166.37 [2761]~P123(x27611)+P123(x27612)+~E(x27611,x27612) % 166.65/166.37 [2762]~P3(x27621)+P3(x27622)+~E(x27621,x27622) % 166.65/166.37 [2763]~P105(x27631)+P105(x27632)+~E(x27631,x27632) % 166.65/166.37 [2764]~P114(x27641)+P114(x27642)+~E(x27641,x27642) % 166.65/166.37 [2765]~P109(x27651)+P109(x27652)+~E(x27651,x27652) % 166.65/166.37 [2766]~P86(x27661)+P86(x27662)+~E(x27661,x27662) % 166.65/166.37 [2767]P148(x27672,x27673,x27674)+~E(x27671,x27672)+~P148(x27671,x27673,x27674) % 166.65/166.37 [2768]P148(x27683,x27682,x27684)+~E(x27681,x27682)+~P148(x27683,x27681,x27684) % 166.65/166.38 [2769]P148(x27693,x27694,x27692)+~E(x27691,x27692)+~P148(x27693,x27694,x27691) % 166.65/166.38 [2770]~P110(x27701)+P110(x27702)+~E(x27701,x27702) % 166.65/166.38 [2771]~P4(x27711)+P4(x27712)+~E(x27711,x27712) % 166.65/166.38 [2772]~P73(x27721)+P73(x27722)+~E(x27721,x27722) % 166.65/166.38 [2773]~P72(x27731)+P72(x27732)+~E(x27731,x27732) % 166.65/166.38 [2774]~P116(x27741)+P116(x27742)+~E(x27741,x27742) % 166.65/166.38 [2775]P60(x27752,x27753,x27754)+~E(x27751,x27752)+~P60(x27751,x27753,x27754) % 166.65/166.38 [2776]P60(x27763,x27762,x27764)+~E(x27761,x27762)+~P60(x27763,x27761,x27764) % 166.65/166.38 [2777]P60(x27773,x27774,x27772)+~E(x27771,x27772)+~P60(x27773,x27774,x27771) % 166.65/166.38 [2778]P18(x27782,x27783)+~E(x27781,x27782)+~P18(x27781,x27783) % 166.65/166.38 [2779]P18(x27793,x27792)+~E(x27791,x27792)+~P18(x27793,x27791) % 166.65/166.38 [2780]~P5(x27801)+P5(x27802)+~E(x27801,x27802) % 166.65/166.38 [2781]~P96(x27811)+P96(x27812)+~E(x27811,x27812) % 166.65/166.38 [2782]~P90(x27821)+P90(x27822)+~E(x27821,x27822) % 166.65/166.38 [2783]~P78(x27831)+P78(x27832)+~E(x27831,x27832) % 166.65/166.38 [2784]~P146(x27841)+P146(x27842)+~E(x27841,x27842) % 166.65/166.38 [2785]P43(x27852,x27853)+~E(x27851,x27852)+~P43(x27851,x27853) % 166.65/166.38 [2786]P43(x27863,x27862)+~E(x27861,x27862)+~P43(x27863,x27861) % 166.65/166.38 [2787]~P83(x27871)+P83(x27872)+~E(x27871,x27872) % 166.65/166.38 [2788]P29(x27882,x27883,x27884)+~E(x27881,x27882)+~P29(x27881,x27883,x27884) % 166.65/166.38 [2789]P29(x27893,x27892,x27894)+~E(x27891,x27892)+~P29(x27893,x27891,x27894) % 166.65/166.38 [2790]P29(x27903,x27904,x27902)+~E(x27901,x27902)+~P29(x27903,x27904,x27901) % 166.65/166.38 [2791]~P10(x27911)+P10(x27912)+~E(x27911,x27912) % 166.65/166.38 [2792]~P6(x27921)+P6(x27922)+~E(x27921,x27922) % 166.65/166.38 [2793]P30(x27932,x27933,x27934,x27935)+~E(x27931,x27932)+~P30(x27931,x27933,x27934,x27935) % 166.65/166.38 [2794]P30(x27943,x27942,x27944,x27945)+~E(x27941,x27942)+~P30(x27943,x27941,x27944,x27945) % 166.65/166.38 [2795]P30(x27953,x27954,x27952,x27955)+~E(x27951,x27952)+~P30(x27953,x27954,x27951,x27955) % 166.65/166.38 [2796]P30(x27963,x27964,x27965,x27962)+~E(x27961,x27962)+~P30(x27963,x27964,x27965,x27961) % 166.65/166.38 [2797]P64(x27972,x27973,x27974,x27975,x27976)+~E(x27971,x27972)+~P64(x27971,x27973,x27974,x27975,x27976) % 166.65/166.38 [2798]P64(x27983,x27982,x27984,x27985,x27986)+~E(x27981,x27982)+~P64(x27983,x27981,x27984,x27985,x27986) % 166.65/166.38 [2799]P64(x27993,x27994,x27992,x27995,x27996)+~E(x27991,x27992)+~P64(x27993,x27994,x27991,x27995,x27996) % 166.65/166.38 [2800]P64(x28003,x28004,x28005,x28002,x28006)+~E(x28001,x28002)+~P64(x28003,x28004,x28005,x28001,x28006) % 166.65/166.38 [2801]P64(x28013,x28014,x28015,x28016,x28012)+~E(x28011,x28012)+~P64(x28013,x28014,x28015,x28016,x28011) % 166.65/166.38 [2802]~P7(x28021)+P7(x28022)+~E(x28021,x28022) % 166.65/166.38 [2803]~P97(x28031)+P97(x28032)+~E(x28031,x28032) % 166.65/166.38 [2804]P37(x28042,x28043,x28044)+~E(x28041,x28042)+~P37(x28041,x28043,x28044) % 166.65/166.38 [2805]P37(x28053,x28052,x28054)+~E(x28051,x28052)+~P37(x28053,x28051,x28054) % 166.65/166.38 [2806]P37(x28063,x28064,x28062)+~E(x28061,x28062)+~P37(x28063,x28064,x28061) % 166.65/166.38 [2807]~P8(x28071)+P8(x28072)+~E(x28071,x28072) % 166.65/166.38 [2808]P48(x28082,x28083,x28084,x28085)+~E(x28081,x28082)+~P48(x28081,x28083,x28084,x28085) % 166.65/166.38 [2809]P48(x28093,x28092,x28094,x28095)+~E(x28091,x28092)+~P48(x28093,x28091,x28094,x28095) % 166.65/166.38 [2810]P48(x28103,x28104,x28102,x28105)+~E(x28101,x28102)+~P48(x28103,x28104,x28101,x28105) % 166.65/166.38 [2811]P48(x28113,x28114,x28115,x28112)+~E(x28111,x28112)+~P48(x28113,x28114,x28115,x28111) % 166.65/166.38 [2812]P65(x28122,x28123)+~E(x28121,x28122)+~P65(x28121,x28123) % 166.65/166.38 [2813]P65(x28133,x28132)+~E(x28131,x28132)+~P65(x28133,x28131) % 166.65/166.38 [2814]~P95(x28141)+P95(x28142)+~E(x28141,x28142) % 166.65/166.38 [2815]~P111(x28151)+P111(x28152)+~E(x28151,x28152) % 166.65/166.38 [2816]P63(x28162,x28163,x28164)+~E(x28161,x28162)+~P63(x28161,x28163,x28164) % 166.65/166.38 [2817]P63(x28173,x28172,x28174)+~E(x28171,x28172)+~P63(x28173,x28171,x28174) % 166.65/166.38 [2818]P63(x28183,x28184,x28182)+~E(x28181,x28182)+~P63(x28183,x28184,x28181) % 166.65/166.38 [2819]P41(x28192,x28193,x28194)+~E(x28191,x28192)+~P41(x28191,x28193,x28194) % 166.65/166.38 [2820]P41(x28203,x28202,x28204)+~E(x28201,x28202)+~P41(x28203,x28201,x28204) % 166.65/166.38 [2821]P41(x28213,x28214,x28212)+~E(x28211,x28212)+~P41(x28213,x28214,x28211) % 166.65/166.38 [2822]~P120(x28221)+P120(x28222)+~E(x28221,x28222) % 166.65/166.38 [2823]P149(x28232,x28233,x28234)+~E(x28231,x28232)+~P149(x28231,x28233,x28234) % 166.65/166.38 [2824]P149(x28243,x28242,x28244)+~E(x28241,x28242)+~P149(x28243,x28241,x28244) % 166.65/166.38 [2825]P149(x28253,x28254,x28252)+~E(x28251,x28252)+~P149(x28253,x28254,x28251) % 166.65/166.38 [2826]P24(x28262,x28263,x28264,x28265)+~E(x28261,x28262)+~P24(x28261,x28263,x28264,x28265) % 166.65/166.38 [2827]P24(x28273,x28272,x28274,x28275)+~E(x28271,x28272)+~P24(x28273,x28271,x28274,x28275) % 166.65/166.38 [2828]P24(x28283,x28284,x28282,x28285)+~E(x28281,x28282)+~P24(x28283,x28284,x28281,x28285) % 166.65/166.38 [2829]P24(x28293,x28294,x28295,x28292)+~E(x28291,x28292)+~P24(x28293,x28294,x28295,x28291) % 166.65/166.38 [2830]P35(x28302,x28303)+~E(x28301,x28302)+~P35(x28301,x28303) % 166.65/166.38 [2831]P35(x28313,x28312)+~E(x28311,x28312)+~P35(x28313,x28311) % 166.65/166.38 [2832]~P113(x28321)+P113(x28322)+~E(x28321,x28322) % 166.65/166.38 [2833]~P130(x28331)+P130(x28332)+~E(x28331,x28332) % 166.65/166.38 [2834]P45(x28342,x28343)+~E(x28341,x28342)+~P45(x28341,x28343) % 166.65/166.38 [2835]P45(x28353,x28352)+~E(x28351,x28352)+~P45(x28353,x28351) % 166.65/166.38 [2836]~P75(x28361)+P75(x28362)+~E(x28361,x28362) % 166.65/166.38 [2837]~P133(x28371)+P133(x28372)+~E(x28371,x28372) % 166.65/166.38 [2838]~P122(x28381)+P122(x28382)+~E(x28381,x28382) % 166.65/166.38 [2839]P66(x28392,x28393,x28394,x28395)+~E(x28391,x28392)+~P66(x28391,x28393,x28394,x28395) % 166.65/166.38 [2840]P66(x28403,x28402,x28404,x28405)+~E(x28401,x28402)+~P66(x28403,x28401,x28404,x28405) % 166.65/166.38 [2841]P66(x28413,x28414,x28412,x28415)+~E(x28411,x28412)+~P66(x28413,x28414,x28411,x28415) % 166.65/166.38 [2842]P66(x28423,x28424,x28425,x28422)+~E(x28421,x28422)+~P66(x28423,x28424,x28425,x28421) % 166.65/166.38 [2843]~P68(x28431)+P68(x28432)+~E(x28431,x28432) % 166.65/166.38 [2844]~P84(x28441)+P84(x28442)+~E(x28441,x28442) % 166.65/166.38 [2845]~P47(x28451)+P47(x28452)+~E(x28451,x28452) % 166.65/166.38 [2846]P21(x28462,x28463,x28464)+~E(x28461,x28462)+~P21(x28461,x28463,x28464) % 166.65/166.38 [2847]P21(x28473,x28472,x28474)+~E(x28471,x28472)+~P21(x28473,x28471,x28474) % 166.65/166.38 [2848]P21(x28483,x28484,x28482)+~E(x28481,x28482)+~P21(x28483,x28484,x28481) % 166.65/166.38 [2849]~P85(x28491)+P85(x28492)+~E(x28491,x28492) % 166.65/166.38 [2850]P39(x28502,x28503,x28504)+~E(x28501,x28502)+~P39(x28501,x28503,x28504) % 166.65/166.38 [2851]P39(x28513,x28512,x28514)+~E(x28511,x28512)+~P39(x28513,x28511,x28514) % 166.65/166.38 [2852]P39(x28523,x28524,x28522)+~E(x28521,x28522)+~P39(x28523,x28524,x28521) % 166.65/166.38 [2853]~P74(x28531)+P74(x28532)+~E(x28531,x28532) % 166.65/166.38 [2854]~P91(x28541)+P91(x28542)+~E(x28541,x28542) % 166.65/166.38 [2855]~P88(x28551)+P88(x28552)+~E(x28551,x28552) % 166.65/166.38 [2856]P62(x28562,x28563,x28564)+~E(x28561,x28562)+~P62(x28561,x28563,x28564) % 166.65/166.38 [2857]P62(x28573,x28572,x28574)+~E(x28571,x28572)+~P62(x28573,x28571,x28574) % 166.65/166.38 [2858]P62(x28583,x28584,x28582)+~E(x28581,x28582)+~P62(x28583,x28584,x28581) % 166.65/166.38 [2859]~P117(x28591)+P117(x28592)+~E(x28591,x28592) % 166.65/166.38 [2860]~P9(x28601)+P9(x28602)+~E(x28601,x28602) % 166.65/166.38 [2861]~P70(x28611)+P70(x28612)+~E(x28611,x28612) % 166.65/166.38 [2862]~P81(x28621)+P81(x28622)+~E(x28621,x28622) % 166.65/166.38 [2863]P40(x28632,x28633,x28634,x28635,x28636)+~E(x28631,x28632)+~P40(x28631,x28633,x28634,x28635,x28636) % 166.65/166.38 [2864]P40(x28643,x28642,x28644,x28645,x28646)+~E(x28641,x28642)+~P40(x28643,x28641,x28644,x28645,x28646) % 166.65/166.38 [2865]P40(x28653,x28654,x28652,x28655,x28656)+~E(x28651,x28652)+~P40(x28653,x28654,x28651,x28655,x28656) % 166.65/166.38 [2866]P40(x28663,x28664,x28665,x28662,x28666)+~E(x28661,x28662)+~P40(x28663,x28664,x28665,x28661,x28666) % 166.65/166.38 [2867]P40(x28673,x28674,x28675,x28676,x28672)+~E(x28671,x28672)+~P40(x28673,x28674,x28675,x28676,x28671) % 166.65/166.38 [2868]P20(x28682,x28683)+~E(x28681,x28682)+~P20(x28681,x28683) % 166.65/166.38 [2869]P20(x28693,x28692)+~E(x28691,x28692)+~P20(x28693,x28691) % 166.65/166.38 [2870]P12(x28702,x28703)+~E(x28701,x28702)+~P12(x28701,x28703) % 166.65/166.38 [2871]P12(x28713,x28712)+~E(x28711,x28712)+~P12(x28713,x28711) % 166.65/166.38 [2872]~P143(x28721)+P143(x28722)+~E(x28721,x28722) % 166.65/166.38 [2873]P54(x28732,x28733,x28734)+~E(x28731,x28732)+~P54(x28731,x28733,x28734) % 166.65/166.38 [2874]P54(x28743,x28742,x28744)+~E(x28741,x28742)+~P54(x28743,x28741,x28744) % 166.65/166.38 [2875]P54(x28753,x28754,x28752)+~E(x28751,x28752)+~P54(x28753,x28754,x28751) % 166.65/166.38 [2876]~P79(x28761)+P79(x28762)+~E(x28761,x28762) % 166.65/166.38 [2877]~P121(x28771)+P121(x28772)+~E(x28771,x28772) % 166.65/166.38 [2878]~P87(x28781)+P87(x28782)+~E(x28781,x28782) % 166.65/166.38 [2879]~P11(x28791)+P11(x28792)+~E(x28791,x28792) % 166.65/166.38 [2880]~P71(x28801)+P71(x28802)+~E(x28801,x28802) % 166.65/166.38 [2881]~P80(x28811)+P80(x28812)+~E(x28811,x28812) % 166.65/166.38 [2882]P13(x28822,x28823,x28824)+~E(x28821,x28822)+~P13(x28821,x28823,x28824) % 166.65/166.38 [2883]P13(x28833,x28832,x28834)+~E(x28831,x28832)+~P13(x28833,x28831,x28834) % 166.65/166.38 [2884]P13(x28843,x28844,x28842)+~E(x28841,x28842)+~P13(x28843,x28844,x28841) % 166.65/166.38 [2885]~P137(x28851)+P137(x28852)+~E(x28851,x28852) % 166.65/166.38 [2886]~P147(x28861)+P147(x28862)+~E(x28861,x28862) % 166.65/166.38 [2887]~P69(x28871)+P69(x28872)+~E(x28871,x28872) % 166.65/166.38 [2888]P19(x28882,x28883,x28884)+~E(x28881,x28882)+~P19(x28881,x28883,x28884) % 166.65/166.38 [2889]P19(x28893,x28892,x28894)+~E(x28891,x28892)+~P19(x28893,x28891,x28894) % 166.65/166.38 [2890]P19(x28903,x28904,x28902)+~E(x28901,x28902)+~P19(x28903,x28904,x28901) % 166.65/166.38 [2891]P44(x28912,x28913)+~E(x28911,x28912)+~P44(x28911,x28913) % 166.65/166.38 [2892]P44(x28923,x28922)+~E(x28921,x28922)+~P44(x28923,x28921) % 166.65/166.38 [2893]P67(x28932,x28933)+~E(x28931,x28932)+~P67(x28931,x28933) % 166.65/166.38 [2894]P67(x28943,x28942)+~E(x28941,x28942)+~P67(x28943,x28941) % 166.65/166.38 [2895]P31(x28952,x28953,x28954,x28955,x28956)+~E(x28951,x28952)+~P31(x28951,x28953,x28954,x28955,x28956) % 166.65/166.38 [2896]P31(x28963,x28962,x28964,x28965,x28966)+~E(x28961,x28962)+~P31(x28963,x28961,x28964,x28965,x28966) % 166.65/166.38 [2897]P31(x28973,x28974,x28972,x28975,x28976)+~E(x28971,x28972)+~P31(x28973,x28974,x28971,x28975,x28976) % 166.65/166.38 [2898]P31(x28983,x28984,x28985,x28982,x28986)+~E(x28981,x28982)+~P31(x28983,x28984,x28985,x28981,x28986) % 166.65/166.38 [2899]P31(x28993,x28994,x28995,x28996,x28992)+~E(x28991,x28992)+~P31(x28993,x28994,x28995,x28996,x28991) % 166.65/166.38 [2900]P38(x29002,x29003,x29004,x29005)+~E(x29001,x29002)+~P38(x29001,x29003,x29004,x29005) % 166.65/166.38 [2901]P38(x29013,x29012,x29014,x29015)+~E(x29011,x29012)+~P38(x29013,x29011,x29014,x29015) % 166.65/166.38 [2902]P38(x29023,x29024,x29022,x29025)+~E(x29021,x29022)+~P38(x29023,x29024,x29021,x29025) % 166.65/166.38 [2903]P38(x29033,x29034,x29035,x29032)+~E(x29031,x29032)+~P38(x29033,x29034,x29035,x29031) % 166.65/166.38 [2904]~P101(x29041)+P101(x29042)+~E(x29041,x29042) % 166.65/166.38 [2905]~P125(x29051)+P125(x29052)+~E(x29051,x29052) % 166.65/166.38 [2906]P46(x29062,x29063,x29064)+~E(x29061,x29062)+~P46(x29061,x29063,x29064) % 166.65/166.38 [2907]P46(x29073,x29072,x29074)+~E(x29071,x29072)+~P46(x29073,x29071,x29074) % 166.65/166.38 [2908]P46(x29083,x29084,x29082)+~E(x29081,x29082)+~P46(x29083,x29084,x29081) % 166.65/166.38 [2909]~P145(x29091)+P145(x29092)+~E(x29091,x29092) % 166.65/166.38 [2910]~P126(x29101)+P126(x29102)+~E(x29101,x29102) % 166.65/166.38 [2911]P32(x29112,x29113)+~E(x29111,x29112)+~P32(x29111,x29113) % 166.65/166.38 [2912]P32(x29123,x29122)+~E(x29121,x29122)+~P32(x29123,x29121) % 166.65/166.38 [2913]P26(x29132,x29133,x29134,x29135,x29136)+~E(x29131,x29132)+~P26(x29131,x29133,x29134,x29135,x29136) % 166.65/166.38 [2914]P26(x29143,x29142,x29144,x29145,x29146)+~E(x29141,x29142)+~P26(x29143,x29141,x29144,x29145,x29146) % 166.65/166.38 [2915]P26(x29153,x29154,x29152,x29155,x29156)+~E(x29151,x29152)+~P26(x29153,x29154,x29151,x29155,x29156) % 166.65/166.38 [2916]P26(x29163,x29164,x29165,x29162,x29166)+~E(x29161,x29162)+~P26(x29163,x29164,x29165,x29161,x29166) % 166.65/166.38 [2917]P26(x29173,x29174,x29175,x29176,x29172)+~E(x29171,x29172)+~P26(x29173,x29174,x29175,x29176,x29171) % 166.65/166.38 [2918]P56(x29182,x29183)+~E(x29181,x29182)+~P56(x29181,x29183) % 166.65/166.38 [2919]P56(x29193,x29192)+~E(x29191,x29192)+~P56(x29193,x29191) % 166.65/166.38 [2920]P36(x29202,x29203,x29204)+~E(x29201,x29202)+~P36(x29201,x29203,x29204) % 166.65/166.38 [2921]P36(x29213,x29212,x29214)+~E(x29211,x29212)+~P36(x29213,x29211,x29214) % 166.65/166.38 [2922]P36(x29223,x29224,x29222)+~E(x29221,x29222)+~P36(x29223,x29224,x29221) % 166.65/166.38 [2923]~P76(x29231)+P76(x29232)+~E(x29231,x29232) % 166.65/166.38 [2924]P16(x29242,x29243,x29244,x29245)+~E(x29241,x29242)+~P16(x29241,x29243,x29244,x29245) % 166.65/166.38 [2925]P16(x29253,x29252,x29254,x29255)+~E(x29251,x29252)+~P16(x29253,x29251,x29254,x29255) % 166.65/166.38 [2926]P16(x29263,x29264,x29262,x29265)+~E(x29261,x29262)+~P16(x29263,x29264,x29261,x29265) % 166.65/166.38 [2927]P16(x29273,x29274,x29275,x29272)+~E(x29271,x29272)+~P16(x29273,x29274,x29275,x29271) % 166.65/166.38 [2928]P57(x29282,x29283)+~E(x29281,x29282)+~P57(x29281,x29283) % 166.65/166.38 [2929]P57(x29293,x29292)+~E(x29291,x29292)+~P57(x29293,x29291) % 166.65/166.38 [2930]~P131(x29301)+P131(x29302)+~E(x29301,x29302) % 166.65/166.38 [2931]~P42(x29311)+P42(x29312)+~E(x29311,x29312) % 166.65/166.38 [2932]P59(x29322,x29323)+~E(x29321,x29322)+~P59(x29321,x29323) % 166.65/166.38 [2933]P59(x29333,x29332)+~E(x29331,x29332)+~P59(x29333,x29331) % 166.65/166.38 [2934]~P142(x29341)+P142(x29342)+~E(x29341,x29342) % 166.65/166.38 [2935]~P132(x29351)+P132(x29352)+~E(x29351,x29352) % 166.65/166.38 [2936]P28(x29362,x29363,x29364,x29365,x29366,x29367)+~E(x29361,x29362)+~P28(x29361,x29363,x29364,x29365,x29366,x29367) % 166.65/166.38 [2937]P28(x29373,x29372,x29374,x29375,x29376,x29377)+~E(x29371,x29372)+~P28(x29373,x29371,x29374,x29375,x29376,x29377) % 166.65/166.38 [2938]P28(x29383,x29384,x29382,x29385,x29386,x29387)+~E(x29381,x29382)+~P28(x29383,x29384,x29381,x29385,x29386,x29387) % 166.65/166.38 [2939]P28(x29393,x29394,x29395,x29392,x29396,x29397)+~E(x29391,x29392)+~P28(x29393,x29394,x29395,x29391,x29396,x29397) % 166.65/166.38 [2940]P28(x29403,x29404,x29405,x29406,x29402,x29407)+~E(x29401,x29402)+~P28(x29403,x29404,x29405,x29406,x29401,x29407) % 166.65/166.38 [2941]P28(x29413,x29414,x29415,x29416,x29417,x29412)+~E(x29411,x29412)+~P28(x29413,x29414,x29415,x29416,x29417,x29411) % 166.65/166.38 [2942]P33(x29422,x29423,x29424)+~E(x29421,x29422)+~P33(x29421,x29423,x29424) % 166.65/166.38 [2943]P33(x29433,x29432,x29434)+~E(x29431,x29432)+~P33(x29433,x29431,x29434) % 166.65/166.38 [2944]P33(x29443,x29444,x29442)+~E(x29441,x29442)+~P33(x29443,x29444,x29441) % 166.65/166.38 [2945]~P144(x29451)+P144(x29452)+~E(x29451,x29452) % 166.65/166.38 [2946]~P52(x29461)+P52(x29462)+~E(x29461,x29462) % 166.65/166.38 [2947]P55(x29472,x29473,x29474)+~E(x29471,x29472)+~P55(x29471,x29473,x29474) % 166.65/166.38 [2948]P55(x29483,x29482,x29484)+~E(x29481,x29482)+~P55(x29483,x29481,x29484) % 166.65/166.38 [2949]P55(x29493,x29494,x29492)+~E(x29491,x29492)+~P55(x29493,x29494,x29491) % 166.65/166.38 [2950]~P106(x29501)+P106(x29502)+~E(x29501,x29502) % 166.65/166.38 [2951]P23(x29512,x29513,x29514)+~E(x29511,x29512)+~P23(x29511,x29513,x29514) % 166.65/166.38 [2952]P23(x29523,x29522,x29524)+~E(x29521,x29522)+~P23(x29523,x29521,x29524) % 166.65/166.38 [2953]P23(x29533,x29534,x29532)+~E(x29531,x29532)+~P23(x29533,x29534,x29531) % 166.65/166.38 [2954]~P119(x29541)+P119(x29542)+~E(x29541,x29542) % 166.65/166.38 [2955]P53(x29552,x29553)+~E(x29551,x29552)+~P53(x29551,x29553) % 166.65/166.38 [2956]P53(x29563,x29562)+~E(x29561,x29562)+~P53(x29563,x29561) % 166.65/166.38 [2957]P22(x29572,x29573,x29574)+~E(x29571,x29572)+~P22(x29571,x29573,x29574) % 166.65/166.38 [2958]P22(x29583,x29582,x29584)+~E(x29581,x29582)+~P22(x29583,x29581,x29584) % 166.65/166.38 [2959]P22(x29593,x29594,x29592)+~E(x29591,x29592)+~P22(x29593,x29594,x29591) % 166.65/166.38 [2960]~P98(x29601)+P98(x29602)+~E(x29601,x29602) % 166.65/166.38 [2961]~P100(x29611)+P100(x29612)+~E(x29611,x29612) % 166.65/166.38 [2962]P50(x29622,x29623,x29624,x29625,x29626,x29627)+~E(x29621,x29622)+~P50(x29621,x29623,x29624,x29625,x29626,x29627) % 166.65/166.38 [2963]P50(x29633,x29632,x29634,x29635,x29636,x29637)+~E(x29631,x29632)+~P50(x29633,x29631,x29634,x29635,x29636,x29637) % 166.65/166.38 [2964]P50(x29643,x29644,x29642,x29645,x29646,x29647)+~E(x29641,x29642)+~P50(x29643,x29644,x29641,x29645,x29646,x29647) % 166.65/166.38 [2965]P50(x29653,x29654,x29655,x29652,x29656,x29657)+~E(x29651,x29652)+~P50(x29653,x29654,x29655,x29651,x29656,x29657) % 166.65/166.38 [2966]P50(x29663,x29664,x29665,x29666,x29662,x29667)+~E(x29661,x29662)+~P50(x29663,x29664,x29665,x29666,x29661,x29667) % 166.65/166.38 [2967]P50(x29673,x29674,x29675,x29676,x29677,x29672)+~E(x29671,x29672)+~P50(x29673,x29674,x29675,x29676,x29677,x29671) % 166.65/166.38 [2968]~P92(x29681)+P92(x29682)+~E(x29681,x29682) % 166.65/166.38 [2969]~P129(x29691)+P129(x29692)+~E(x29691,x29692) % 166.65/166.38 [2970]~P93(x29701)+P93(x29702)+~E(x29701,x29702) % 166.65/166.38 [2971]P61(x29712,x29713)+~E(x29711,x29712)+~P61(x29711,x29713) % 166.65/166.38 [2972]P61(x29723,x29722)+~E(x29721,x29722)+~P61(x29723,x29721) % 166.65/166.38 [2973]~P115(x29731)+P115(x29732)+~E(x29731,x29732) % 166.65/166.38 [2974]~P102(x29741)+P102(x29742)+~E(x29741,x29742) % 166.65/166.38 [2975]~P138(x29751)+P138(x29752)+~E(x29751,x29752) % 166.65/166.38 [2976]~P140(x29761)+P140(x29762)+~E(x29761,x29762) % 166.65/166.38 [2977]~P135(x29771)+P135(x29772)+~E(x29771,x29772) % 166.65/166.38 [2978]~P107(x29781)+P107(x29782)+~E(x29781,x29782) % 166.65/166.38 [2979]~P139(x29791)+P139(x29792)+~E(x29791,x29792) % 166.65/166.38 [2980]~P136(x29801)+P136(x29802)+~E(x29801,x29802) % 166.65/166.38 [2981]P49(x29812,x29813,x29814,x29815)+~E(x29811,x29812)+~P49(x29811,x29813,x29814,x29815) % 166.65/166.38 [2982]P49(x29823,x29822,x29824,x29825)+~E(x29821,x29822)+~P49(x29823,x29821,x29824,x29825) % 166.65/166.38 [2983]P49(x29833,x29834,x29832,x29835)+~E(x29831,x29832)+~P49(x29833,x29834,x29831,x29835) % 166.65/166.38 [2984]P49(x29843,x29844,x29845,x29842)+~E(x29841,x29842)+~P49(x29843,x29844,x29845,x29841) % 166.65/166.38 [2985]~P124(x29851)+P124(x29852)+~E(x29851,x29852) % 166.65/166.38 [2986]P17(x29862,x29863,x29864,x29865,x29866,x29867)+~E(x29861,x29862)+~P17(x29861,x29863,x29864,x29865,x29866,x29867) % 166.65/166.38 [2987]P17(x29873,x29872,x29874,x29875,x29876,x29877)+~E(x29871,x29872)+~P17(x29873,x29871,x29874,x29875,x29876,x29877) % 166.65/166.38 [2988]P17(x29883,x29884,x29882,x29885,x29886,x29887)+~E(x29881,x29882)+~P17(x29883,x29884,x29881,x29885,x29886,x29887) % 166.65/166.38 [2989]P17(x29893,x29894,x29895,x29892,x29896,x29897)+~E(x29891,x29892)+~P17(x29893,x29894,x29895,x29891,x29896,x29897) % 166.65/166.38 [2990]P17(x29903,x29904,x29905,x29906,x29902,x29907)+~E(x29901,x29902)+~P17(x29903,x29904,x29905,x29906,x29901,x29907) % 166.65/166.38 [2991]P17(x29913,x29914,x29915,x29916,x29917,x29912)+~E(x29911,x29912)+~P17(x29913,x29914,x29915,x29916,x29917,x29911) % 166.65/166.38 [2992]~P77(x29921)+P77(x29922)+~E(x29921,x29922) % 166.65/166.38 [2993]P14(x29932,x29933,x29934)+~E(x29931,x29932)+~P14(x29931,x29933,x29934) % 166.65/166.38 [2994]P14(x29943,x29942,x29944)+~E(x29941,x29942)+~P14(x29943,x29941,x29944) % 166.65/166.38 [2995]P14(x29953,x29954,x29952)+~E(x29951,x29952)+~P14(x29953,x29954,x29951) % 166.65/166.38 [2996]P58(x29962,x29963)+~E(x29961,x29962)+~P58(x29961,x29963) % 166.65/166.38 [2997]P58(x29973,x29972)+~E(x29971,x29972)+~P58(x29973,x29971) % 166.65/166.38 [2998]~P99(x29981)+P99(x29982)+~E(x29981,x29982) % 166.65/166.38 [2999]~P134(x29991)+P134(x29992)+~E(x29991,x29992) % 166.65/166.38 [3000]~P108(x30001)+P108(x30002)+~E(x30001,x30002) % 166.65/166.38 [3001]P25(x30012,x30013,x30014,x30015)+~E(x30011,x30012)+~P25(x30011,x30013,x30014,x30015) % 166.65/166.38 [3002]P25(x30023,x30022,x30024,x30025)+~E(x30021,x30022)+~P25(x30023,x30021,x30024,x30025) % 166.65/166.38 [3003]P25(x30033,x30034,x30032,x30035)+~E(x30031,x30032)+~P25(x30033,x30034,x30031,x30035) % 166.65/166.38 [3004]P25(x30043,x30044,x30045,x30042)+~E(x30041,x30042)+~P25(x30043,x30044,x30045,x30041) % 166.65/166.38 [3005]P27(x30052,x30053,x30054,x30055,x30056,x30057)+~E(x30051,x30052)+~P27(x30051,x30053,x30054,x30055,x30056,x30057) % 166.65/166.38 [3006]P27(x30063,x30062,x30064,x30065,x30066,x30067)+~E(x30061,x30062)+~P27(x30063,x30061,x30064,x30065,x30066,x30067) % 166.65/166.38 [3007]P27(x30073,x30074,x30072,x30075,x30076,x30077)+~E(x30071,x30072)+~P27(x30073,x30074,x30071,x30075,x30076,x30077) % 166.65/166.38 [3008]P27(x30083,x30084,x30085,x30082,x30086,x30087)+~E(x30081,x30082)+~P27(x30083,x30084,x30085,x30081,x30086,x30087) % 166.65/166.38 [3009]P27(x30093,x30094,x30095,x30096,x30092,x30097)+~E(x30091,x30092)+~P27(x30093,x30094,x30095,x30096,x30091,x30097) % 166.65/166.38 [3010]P27(x30103,x30104,x30105,x30106,x30107,x30102)+~E(x30101,x30102)+~P27(x30103,x30104,x30105,x30106,x30107,x30101) % 166.65/166.38 [3011]~P118(x30111)+P118(x30112)+~E(x30111,x30112) % 166.65/166.38 [3012]P51(x30122,x30123)+~E(x30121,x30122)+~P51(x30121,x30123) % 166.65/166.38 [3013]P51(x30133,x30132)+~E(x30131,x30132)+~P51(x30133,x30131) % 166.65/166.38 [3014]P34(x30142,x30143,x30144)+~E(x30141,x30142)+~P34(x30141,x30143,x30144) % 166.65/166.38 [3015]P34(x30153,x30152,x30154)+~E(x30151,x30152)+~P34(x30153,x30151,x30154) % 166.65/166.38 [3016]P34(x30163,x30164,x30162)+~E(x30161,x30162)+~P34(x30163,x30164,x30161) % 166.65/166.38 [3017]~P141(x30171)+P141(x30172)+~E(x30171,x30172) % 166.65/166.38 [3018]~P127(x30181)+P127(x30182)+~E(x30181,x30182) % 166.65/166.38 [3019]~P82(x30191)+P82(x30192)+~E(x30191,x30192) % 166.65/166.38 [3020]P15(x30202,x30203,x30204,x30205,x30206)+~E(x30201,x30202)+~P15(x30201,x30203,x30204,x30205,x30206) % 166.65/166.38 [3021]P15(x30213,x30212,x30214,x30215,x30216)+~E(x30211,x30212)+~P15(x30213,x30211,x30214,x30215,x30216) % 166.65/166.38 [3022]P15(x30223,x30224,x30222,x30225,x30226)+~E(x30221,x30222)+~P15(x30223,x30224,x30221,x30225,x30226) % 166.65/166.38 [3023]P15(x30233,x30234,x30235,x30232,x30236)+~E(x30231,x30232)+~P15(x30233,x30234,x30235,x30231,x30236) % 166.65/166.38 [3024]P15(x30243,x30244,x30245,x30246,x30242)+~E(x30241,x30242)+~P15(x30243,x30244,x30245,x30246,x30241) % 166.65/166.38 [3025]~P94(x30251)+P94(x30252)+~E(x30251,x30252) % 166.65/166.38 [3026]~P128(x30261)+P128(x30262)+~E(x30261,x30262) % 166.65/166.38 % 166.65/166.38 %------------------------------------------- % 166.69/166.43 cnf(10382,plain, % 166.69/166.43 (~E(f329(a117,x103821),x103821)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(10392,plain, % 166.69/166.43 (~E(f329(a117,x103921),x103921)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(10405,plain, % 166.69/166.43 (~E(f329(a117,x104051),x104051)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(10410,plain, % 166.69/166.43 (~P1(f329(f329(f175(x104101),f118(x104101)),x104102))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(10413,plain, % 166.69/166.43 (~P1(f329(f329(f175(x104131),f118(x104131)),x104132))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(10416,plain, % 166.69/166.43 (~E(f329(a117,x104161),x104161)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(10419,plain, % 166.69/166.43 (~E(f329(a117,x104191),x104191)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(10422,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x104221),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(10425,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x104251),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(10442,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x104421)),x104421))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(10445,plain, % 166.69/166.43 (~E(f329(f329(f154(x104451),x104452),x104453),x104453)), % 166.69/166.43 inference(rename_variables,[],[4603])). % 166.69/166.43 cnf(10451,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x104511),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(10454,plain, % 166.69/166.43 (E(f329(f287(x104541,x104541),f268(x104541,x104542)),x104542)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(10457,plain, % 166.69/166.43 (E(f329(f287(x104571,x104571),f268(x104571,x104572)),x104572)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(10462,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x104621),x104621))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(10467,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),f329(f329(f82(a910),x104671),x104672)),x104672))), % 166.69/166.43 inference(rename_variables,[],[4663])). % 166.69/166.43 cnf(10470,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),f329(f329(f82(a910),x104701),x104702)),x104702))), % 166.69/166.43 inference(rename_variables,[],[4663])). % 166.69/166.43 cnf(10491,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x104911),x104911))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(10494,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),f46(a910,x104941,x104942)),x104941))), % 166.69/166.43 inference(rename_variables,[],[3880])). % 166.69/166.43 cnf(10515,plain, % 166.69/166.43 (E(f329(f36(a910),f329(f285(a910),x105151)),x105151)), % 166.69/166.43 inference(rename_variables,[],[3318])). % 166.69/166.43 cnf(10523,plain, % 166.69/166.43 (~E(f329(a117,x105231),x105231)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(10526,plain, % 166.69/166.43 (~E(f329(a117,x105261),x105261)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(10529,plain, % 166.69/166.43 (~E(f329(a117,x105291),x105291)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(10531,plain, % 166.69/166.43 (P1(f329(a196,a102))), % 166.69/166.43 inference(scs_inference,[],[4579,10382,10392,10405,10416,10419,10523,10526,3216,3384,10454,3258,3323,3254,3282,3265,3354,4603,3318,4668,3339,3492,3407,4643,10422,10425,4007,3427,4640,4597,4648,10410,4639,10462,10491,3517,3943,3880,4649,10442,4241,4646,4631,3400,4632,4665,4663,10467,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428])). % 166.69/166.43 cnf(10534,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x105341),f329(a117,x105341)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(10543,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),x105431),x105431))), % 166.69/166.43 inference(rename_variables,[],[3424])). % 166.69/166.43 cnf(10550,plain, % 166.69/166.43 (E(f329(f287(x105501,x105501),f268(x105501,x105502)),x105502)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(10553,plain, % 166.69/166.43 (E(f329(f287(x105531,x105531),f268(x105531,x105532)),x105532)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(10576,plain, % 166.69/166.43 (~P1(f329(f329(f175(x105761),f118(x105761)),x105762))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(10605,plain, % 166.69/166.43 (~E(f329(f329(f154(x106051),x106052),x106053),x106053)), % 166.69/166.43 inference(rename_variables,[],[4603])). % 166.69/166.43 cnf(10608,plain, % 166.69/166.43 (~E(f329(a26,x106081),f32(x106082,x106083))), % 166.69/166.43 inference(rename_variables,[],[4592])). % 166.69/166.43 cnf(10621,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),x106211),x106211))), % 166.69/166.43 inference(rename_variables,[],[3426])). % 166.69/166.43 cnf(10624,plain, % 166.69/166.43 (~E(f329(a117,x106241),x106241)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(10627,plain, % 166.69/166.43 (~P1(f329(f329(f191(f918(x106271,f918(x106272,a905))),x106273),x106274))), % 166.69/166.43 inference(rename_variables,[],[4666])). % 166.69/166.43 cnf(10634,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),x106341),x106341))), % 166.69/166.43 inference(rename_variables,[],[3424])). % 166.69/166.43 cnf(10647,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x106471),f329(a117,x106471)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(10668,plain, % 166.69/166.43 (~P1(f329(f329(f175(x106681),f118(x106681)),x106682))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(10687,plain, % 166.69/166.43 (~P1(f329(f329(f175(x106871),f118(x106871)),x106872))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(10694,plain, % 166.69/166.43 (~P1(f329(f329(f175(x106941),f118(x106941)),x106942))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(10707,plain, % 166.69/166.43 (~E(f329(a26,x107071),f32(x107072,x107073))), % 166.69/166.43 inference(rename_variables,[],[4592])). % 166.69/166.43 cnf(10712,plain, % 166.69/166.43 (P1(f329(f329(f331(x107121),x107122),f247(f918(x107121,a905))))), % 166.69/166.43 inference(rename_variables,[],[3577])). % 166.69/166.43 cnf(10716,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),f2(a910)),f329(a109,f80(a1))))), % 166.69/166.43 inference(scs_inference,[],[4579,10382,10392,10405,10416,10419,10523,10526,10529,4592,10608,3216,3384,10454,10457,10550,3258,3323,3254,3282,3265,3894,3354,4603,10445,3318,4200,4668,3339,3786,3492,10534,10647,3407,4643,10422,10425,10451,4656,3862,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,4150,3424,10543,3425,3426,4639,10462,10491,3577,3517,3943,3880,10494,4649,10442,4241,4646,4631,3400,3404,4633,4632,4665,4666,3903,4663,10467,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006])). % 166.69/166.43 cnf(10719,plain, % 166.69/166.43 (~P1(f329(f329(f175(x107191),f118(x107191)),x107192))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(10724,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x107241),f329(a117,x107241)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(10727,plain, % 166.69/166.43 (~P1(f329(f329(f175(x107271),f118(x107271)),x107272))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(10730,plain, % 166.69/166.43 (~P1(f329(f329(f175(x107301),f118(x107301)),x107302))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(10733,plain, % 166.69/166.43 (~P1(f329(f63(x107331,x107332,f191(f918(x107331,a905))),x107333))), % 166.69/166.43 inference(rename_variables,[],[4662])). % 166.69/166.43 cnf(10736,plain, % 166.69/166.43 (~P1(f329(f63(x107361,x107362,f191(f918(x107361,a905))),x107363))), % 166.69/166.43 inference(rename_variables,[],[4662])). % 166.69/166.43 cnf(10739,plain, % 166.69/166.43 (~P1(f329(f329(f191(f918(x107391,f918(x107392,a905))),x107393),x107394))), % 166.69/166.43 inference(rename_variables,[],[4666])). % 166.69/166.43 cnf(10744,plain, % 166.69/166.43 (~P1(f329(f329(f175(x107441),f118(x107441)),x107442))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(10755,plain, % 166.69/166.43 (~E(f329(a117,x107551),x107551)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(10773,plain, % 166.69/166.43 (P1(f329(f329(f240(a104),f329(a3,x107731)),f329(a3,f329(a117,x107731))))), % 166.69/166.43 inference(scs_inference,[],[4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,4592,10608,3216,3384,10454,10457,10550,3258,3323,3254,3282,3265,3894,3354,4603,10445,3318,4200,4668,3339,3786,3492,10534,10647,10724,3875,3407,4643,10422,10425,10451,4656,3862,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,4150,3424,10543,3425,3426,4639,10462,10491,3577,3517,3943,3880,10494,4649,10442,4241,4646,4631,3400,3404,4633,4632,4662,10733,4665,4666,10627,3903,4663,10467,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206])). % 166.69/166.43 cnf(10780,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),x107801),x107801))), % 166.69/166.43 inference(rename_variables,[],[3424])). % 166.69/166.43 cnf(10783,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x107831),f329(f329(f83(a910),x107831),x107831)))), % 166.69/166.43 inference(rename_variables,[],[3687])). % 166.69/166.43 cnf(10785,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x107851),f329(f329(f83(a910),f329(a117,x107851)),f329(a117,x107851))))), % 166.69/166.43 inference(scs_inference,[],[4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,4592,10608,3216,3384,10454,10457,10550,3258,3323,3254,3282,3265,3894,3354,4603,10445,3318,4200,4668,3339,3786,3492,10534,10647,10724,3875,3407,4643,10422,10425,10451,4656,3862,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,4150,3424,10543,10634,3425,3426,4639,10462,10491,3577,3517,3943,3880,10494,4649,10442,4241,4646,4631,3400,3404,4633,4632,4662,10733,3687,10783,4665,4666,10627,3903,4663,10467,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230])). % 166.69/166.43 cnf(10786,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x107861),f329(f329(f83(a910),x107861),x107861)))), % 166.69/166.43 inference(rename_variables,[],[3687])). % 166.69/166.43 cnf(10789,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x107891),f329(a117,f329(f329(f82(a910),x107892),x107891))))), % 166.69/166.43 inference(rename_variables,[],[3873])). % 166.69/166.43 cnf(10794,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x107941),f329(a117,x107941)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(10797,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x107971),f329(a117,x107971)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(10800,plain, % 166.69/166.43 (P1(f329(f329(f331(x108001),x108002),f247(f918(x108001,a905))))), % 166.69/166.43 inference(rename_variables,[],[3577])). % 166.69/166.43 cnf(10819,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x108191)),x108191))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(10822,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x108221)),x108221))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(10825,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),f329(f329(f82(a910),x108251),x108252)),x108252))), % 166.69/166.43 inference(rename_variables,[],[4663])). % 166.69/166.43 cnf(10828,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),f329(f329(f82(a910),x108281),x108282)),x108282))), % 166.69/166.43 inference(rename_variables,[],[4663])). % 166.69/166.43 cnf(10831,plain, % 166.69/166.43 (P1(f329(f247(f918(x108311,a905)),x108312))), % 166.69/166.43 inference(rename_variables,[],[3485])). % 166.69/166.43 cnf(10834,plain, % 166.69/166.43 (E(f329(f36(a910),f329(f285(a910),x108341)),x108341)), % 166.69/166.43 inference(rename_variables,[],[3318])). % 166.69/166.43 cnf(10837,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x108371),f329(a117,x108371)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(10844,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),x108441),x108441))), % 166.69/166.43 inference(rename_variables,[],[3424])). % 166.69/166.43 cnf(10849,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),x108491),x108491))), % 166.69/166.43 inference(rename_variables,[],[3426])). % 166.69/166.43 cnf(10858,plain, % 166.69/166.43 (E(f329(f287(x108581,x108581),f268(x108581,x108582)),x108582)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(10861,plain, % 166.69/166.43 (P1(f329(f247(f918(x108611,a905)),x108612))), % 166.69/166.43 inference(rename_variables,[],[3485])). % 166.69/166.43 cnf(10864,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),f2(a910)),x108641))), % 166.69/166.43 inference(rename_variables,[],[3445])). % 166.69/166.43 cnf(10867,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x108671,a905)),f191(f918(x108671,a905))),x108672))), % 166.69/166.43 inference(rename_variables,[],[3872])). % 166.69/166.43 cnf(10870,plain, % 166.69/166.43 (P1(f329(f247(f918(x108701,a905)),x108702))), % 166.69/166.43 inference(rename_variables,[],[3485])). % 166.69/166.43 cnf(10873,plain, % 166.69/166.43 (P1(f329(f247(f918(x108731,a905)),x108732))), % 166.69/166.43 inference(rename_variables,[],[3485])). % 166.69/166.43 cnf(10876,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x108761),f329(f329(f83(a910),x108761),x108761)))), % 166.69/166.43 inference(rename_variables,[],[3687])). % 166.69/166.43 cnf(10885,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,f329(a117,f329(f329(f82(a910),x108851),x108852)))),f329(a117,x108852)))), % 166.69/166.43 inference(scs_inference,[],[4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,4592,10608,3216,3384,10454,10457,10550,10553,3361,3258,3323,3254,3282,3265,3894,3354,4603,10445,3318,10515,4200,4668,3339,3786,3723,3492,10534,10647,10724,10794,10797,10837,3875,3407,4643,10422,10425,10451,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,4150,3424,10543,10634,10780,3425,3426,10621,4639,10462,10491,3577,10712,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,3445,4241,4646,4631,3400,3404,4633,4632,4662,10733,4667,3872,3687,10783,10786,4665,4666,10627,3903,4663,10467,10470,10825,3873,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483])). % 166.69/166.43 cnf(10916,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x109161),x109161))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(10927,plain, % 166.69/166.43 (~P1(f329(f329(f175(x109271),f118(x109271)),x109272))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(10936,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x109361),f329(a117,x109361)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(10938,plain, % 166.69/166.43 (P1(f329(f329(f240(a1),f329(f329(f23(a1),x109381),f80(a1))),x109381))), % 166.69/166.43 inference(scs_inference,[],[4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,4592,10608,3216,3384,10454,10457,10550,10553,3361,3258,3323,3254,3282,3265,3894,3354,4603,10445,3318,10515,4200,4058,4668,3339,3786,3723,3492,10534,10647,10724,10794,10797,10837,3875,3407,4643,10422,10425,10451,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,4150,3424,10543,10634,10780,3425,10916,3426,10621,10849,4639,10462,10491,3577,10712,4652,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,10822,3445,4241,4646,4631,4634,3400,3404,4633,4632,4662,10733,4667,3872,3687,10783,10786,4665,4666,10627,3903,4663,10467,10470,10825,3873,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750])). % 166.69/166.43 cnf(10939,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),x109391),x109391))), % 166.69/166.43 inference(rename_variables,[],[3426])). % 166.69/166.43 cnf(10944,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x109441),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(10957,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x109571),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(10960,plain, % 166.69/166.43 (~P1(f329(f329(f240(f918(x109601,a905)),x109602),f191(f918(x109601,a905))))), % 166.69/166.43 inference(rename_variables,[],[4660])). % 166.69/166.43 cnf(10963,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x109631),x109631))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(10966,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x109661),x109661))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(10981,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x109811),x109811))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(10990,plain, % 166.69/166.43 (~P1(f329(f329(f331(x109901),x109902),f191(f918(x109901,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(10997,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x109971),x109971))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(11000,plain, % 166.69/166.43 (~P1(f329(f329(f331(x110001),x110002),f191(f918(x110001,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11003,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x110031,a905)),f329(f312(x110032,x110031,x110033),f329(f313(x110032,x110031,x110033),x110034))),x110034))), % 166.69/166.43 inference(rename_variables,[],[4296])). % 166.69/166.43 cnf(11010,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x110101,a905)),f329(f175(x110101),f329(f139(x110101,x110102),x110103))),f329(f175(x110101),x110103)))), % 166.69/166.43 inference(rename_variables,[],[4067])). % 166.69/166.43 cnf(11013,plain, % 166.69/166.43 (E(f329(f312(x110131,x110131,f5(x110131)),x110132),x110132)), % 166.69/166.43 inference(rename_variables,[],[3481])). % 166.69/166.43 cnf(11016,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),f2(a910)),x110161))), % 166.69/166.43 inference(rename_variables,[],[3445])). % 166.69/166.43 cnf(11019,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x110191),x110191))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(11022,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x110221),x110221))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(11031,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x110311),x110311))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(11042,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x110421),f329(f329(f83(a910),x110421),x110421)))), % 166.69/166.43 inference(rename_variables,[],[3687])). % 166.69/166.43 cnf(11048,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x110481),f329(a117,f329(f329(f82(a910),x110482),x110481))))), % 166.69/166.43 inference(rename_variables,[],[3873])). % 166.69/166.43 cnf(11055,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x110551),x110551))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(11058,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),x110581),x110581))), % 166.69/166.43 inference(rename_variables,[],[3426])). % 166.69/166.43 cnf(11061,plain, % 166.69/166.43 (~E(f329(a117,x110611),x110611)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11066,plain, % 166.69/166.43 (P1(f329(f329(f331(x110661),x110662),f247(f918(x110661,a905))))), % 166.69/166.43 inference(rename_variables,[],[3577])). % 166.69/166.43 cnf(11071,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x110711),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(11082,plain, % 166.69/166.43 (~E(f329(a117,x110821),f2(a910))), % 166.69/166.43 inference(rename_variables,[],[4589])). % 166.69/166.43 cnf(11089,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),f2(a910)),x110891))), % 166.69/166.43 inference(rename_variables,[],[3445])). % 166.69/166.43 cnf(11096,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x110961),x110961))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(11105,plain, % 166.69/166.43 (~P1(f329(f329(f331(x111051),x111052),f191(f918(x111051,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11107,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x111071,a905)),f39(f918(x111071,a905),f329(f310(x111071),x111072))),x111072))), % 166.69/166.43 inference(scs_inference,[],[4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,4592,10608,4589,3216,3384,10454,10457,10550,10553,3361,3258,3323,3254,3282,3265,3894,3481,3354,4603,10445,3318,10515,4200,4058,4668,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,3875,3407,4643,10422,10425,10451,10944,10957,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,4162,4067,11010,3787,4150,4660,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,4652,10990,11000,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,10822,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,3872,3687,10783,10786,10876,11042,4665,4666,10627,4296,3903,4663,10467,10470,10825,3873,10789,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900])). % 166.69/166.43 cnf(11113,plain, % 166.69/166.43 (P1(f329(f329(f331(x111131),x111132),f247(f918(x111131,a905))))), % 166.69/166.43 inference(rename_variables,[],[3577])). % 166.69/166.43 cnf(11116,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x111161),f911(x111161))),f329(f329(f257(f911(x111161),f911(x111161)),x111162),f118(x111161))),f148(x111161,x111163)))), % 166.69/166.43 inference(rename_variables,[],[4668])). % 166.69/166.43 cnf(11122,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(x111221,x111221)),x111222),f268(x111221,f191(f918(x111221,a905)))))), % 166.69/166.43 inference(scs_inference,[],[4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,4592,10608,4589,3216,3384,10454,10457,10550,10553,3361,3258,3323,3254,3282,3265,3894,3481,3354,4603,10445,3318,10515,4200,4058,4668,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,3875,3407,4643,10422,10425,10451,10944,10957,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,4162,4067,11010,3787,4150,4660,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,4652,10990,11000,11105,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,10822,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,3872,3687,10783,10786,10876,11042,4665,4666,10627,4296,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050])). % 166.69/166.43 cnf(11123,plain, % 166.69/166.43 (~P1(f329(f329(f331(x111231),x111232),f191(f918(x111231,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11125,plain, % 166.69/166.43 (~P1(f329(f329(f331(x111251),x111252),f329(f313(x111251,x111253,x111254),f191(f918(x111253,a905)))))), % 166.69/166.43 inference(scs_inference,[],[4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,4592,10608,4589,3216,3384,10454,10457,10550,10553,3361,3258,3323,3254,3282,3265,3894,3481,3354,4603,10445,3318,10515,4200,4058,4668,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,3875,3407,4643,10422,10425,10451,10944,10957,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,4162,4067,11010,3787,4150,4660,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,4652,10990,11000,11105,11123,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,10822,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,3872,3687,10783,10786,10876,11042,4665,4666,10627,4296,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082])). % 166.69/166.43 cnf(11126,plain, % 166.69/166.43 (~P1(f329(f329(f331(x111261),x111262),f191(f918(x111261,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11129,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x111291,a905)),x111292),f329(f329(f311(x111291),x111293),x111292)))), % 166.69/166.43 inference(rename_variables,[],[3870])). % 166.69/166.43 cnf(11132,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x111321),x111321))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(11135,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x111351,a905)),x111352),f329(f329(f311(x111351),x111353),x111352)))), % 166.69/166.43 inference(rename_variables,[],[3870])). % 166.69/166.43 cnf(11138,plain, % 166.69/166.43 (E(f329(f312(x111381,x111381,f5(x111381)),x111382),x111382)), % 166.69/166.43 inference(rename_variables,[],[3481])). % 166.69/166.43 cnf(11151,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x111511,a905)),x111512),f329(f329(f311(x111511),x111513),x111512)))), % 166.69/166.43 inference(rename_variables,[],[3870])). % 166.69/166.43 cnf(11158,plain, % 166.69/166.43 (~E(f329(a26,x111581),f32(x111582,x111583))), % 166.69/166.43 inference(rename_variables,[],[4592])). % 166.69/166.43 cnf(11161,plain, % 166.69/166.43 (~P1(f329(f329(f175(x111611),f118(x111611)),x111612))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(11165,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(a910,a910)),f329(f329(f257(a910,a910),f329(a117,x111651)),x111651)),f309(a910,a319)))), % 166.69/166.43 inference(scs_inference,[],[4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,4592,10608,10707,4589,3216,3268,3384,10454,10457,10550,10553,3361,3258,3323,3254,3282,3265,3894,3481,11013,3354,4603,10445,3318,10515,4200,4058,4668,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,3875,3407,4643,10422,10425,10451,10944,10957,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,4162,4067,11010,3787,4150,4660,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,11113,4652,10990,11000,11105,11123,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,10822,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,4025,3870,11129,11135,3872,3687,10783,10786,10876,11042,4665,4666,10627,4296,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519])). % 166.69/166.43 cnf(11174,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x111741),f329(a117,x111741)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(11184,plain, % 166.69/166.43 (~E(f329(f312(x111841,f918(x111841,a905),x111842),x111843),f329(f310(x111841),x111843))), % 166.69/166.43 inference(rename_variables,[],[4650])). % 166.69/166.43 cnf(11187,plain, % 166.69/166.43 (~P1(f329(f329(f331(x111871),x111872),f191(f918(x111871,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11190,plain, % 166.69/166.43 (~P1(f329(f329(f331(x111901),x111902),f191(f918(x111901,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11193,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(x111931,x111931)),f329(f329(f257(x111931,x111931),x111932),x111933)),f156(x111931,f118(f918(x111931,a910)))))), % 166.69/166.43 inference(rename_variables,[],[4667])). % 166.69/166.43 cnf(11196,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(x111961,x111961)),f329(f329(f257(x111961,x111961),x111962),x111963)),f156(x111961,f118(f918(x111961,a910)))))), % 166.69/166.43 inference(rename_variables,[],[4667])). % 166.69/166.43 cnf(11201,plain, % 166.69/166.43 (~P1(f329(f329(f331(x112011),x112012),f191(f918(x112011,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11204,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(x112041,x112041)),f329(f329(f257(x112041,x112041),x112042),x112042)),f309(x112041,x112043)))), % 166.69/166.43 inference(rename_variables,[],[4058])). % 166.69/166.43 cnf(11207,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x112071,a905)),f329(f175(x112071),f179(x112071,x112072,x112073))),f329(f175(x112071),x112072)))), % 166.69/166.43 inference(rename_variables,[],[4116])). % 166.69/166.43 cnf(11210,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x112101,a905)),x112102),f247(f918(x112101,a905))))), % 166.69/166.43 inference(rename_variables,[],[3805])). % 166.69/166.43 cnf(11226,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x112261,a905)),f191(f918(x112261,a905))),x112262))), % 166.69/166.43 inference(rename_variables,[],[3872])). % 166.69/166.43 cnf(11237,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x112371),f911(x112371))),f329(f329(f257(f911(x112371),f911(x112371)),x112372),f118(x112371))),f150(x112371,x112373)))), % 166.69/166.43 inference(rename_variables,[],[4669])). % 166.69/166.43 cnf(11248,plain, % 166.69/166.43 (~E(f329(a117,x112481),x112481)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11251,plain, % 166.69/166.43 (~E(f329(a117,x112511),x112511)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11255,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(f911(x112551),f911(x112551))),f329(f329(f257(f911(x112551),f911(x112551)),f118(x112551)),f118(x112551))),f329(f329(f291(f911(x112551),f911(x112551),f911(x112551)),f161(x112551,x112552)),f309(f911(x112551),f161(x112551,x112552)))))), % 166.69/166.43 inference(scs_inference,[],[4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,4592,10608,10707,4589,3216,3268,3384,10454,10457,10550,10553,3361,3882,3258,3323,3254,3282,3265,3894,3481,11013,3354,4056,4603,10445,4650,3318,10515,4200,4058,11204,4668,11116,4669,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,3875,3407,4643,10422,10425,10451,10944,10957,11071,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,4162,4067,11010,4116,3787,4150,3805,4660,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,11113,4652,10990,11000,11105,11123,11126,11187,11190,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,10822,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,11193,4025,3870,11129,11135,3872,10867,3687,10783,10786,10876,11042,4665,4666,10627,4296,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757])). % 166.69/166.43 cnf(11260,plain, % 166.69/166.43 (E(f329(x112601,f329(f94(x112602,x112603,f247(f918(x112602,a905)),x112601),f329(x112601,x112604))),f329(x112601,x112604))), % 166.69/166.43 inference(scs_inference,[],[4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,4592,10608,10707,11158,4589,3216,3268,3384,10454,10457,10550,10553,3361,3882,3258,3323,3254,3282,3265,3894,3481,11013,3354,4056,4603,10445,4650,3318,10515,4200,4058,11204,4668,11116,4669,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,3875,3407,4643,10422,10425,10451,10944,10957,11071,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,4162,4067,11010,4116,3787,4150,3805,4660,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,11113,4652,10990,11000,11105,11123,11126,11187,11190,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,10822,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,11193,4025,3870,11129,11135,3872,10867,3687,10783,10786,10876,11042,4665,4666,10627,4296,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770])). % 166.69/166.43 cnf(11263,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x112631,a905)),x112632),x112632))), % 166.69/166.43 inference(rename_variables,[],[3719])). % 166.69/166.43 cnf(11270,plain, % 166.69/166.43 (P30(x112701,x112701,f5(x112701),x112702)), % 166.69/166.43 inference(rename_variables,[],[3661])). % 166.69/166.43 cnf(11275,plain, % 166.69/166.43 (~E(f329(f312(x112751,f918(x112751,a905),x112752),x112753),f329(f310(x112751),x112753))), % 166.69/166.43 inference(rename_variables,[],[4650])). % 166.69/166.43 cnf(11280,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x112801,a905)),x112802),f247(f918(x112801,a905))))), % 166.69/166.43 inference(rename_variables,[],[3805])). % 166.69/166.43 cnf(11294,plain, % 166.69/166.43 (~P1(f329(f329(f331(x112941),x112942),f191(f918(x112941,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11297,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x112971)),x112971))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(11302,plain, % 166.69/166.43 (~P1(f329(f329(f331(x113021),x113022),f191(f918(x113021,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11313,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x113131)),x113131))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(11316,plain, % 166.69/166.43 (~P1(f329(f329(f331(x113161),x113162),f191(f918(x113161,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11329,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(x113291,x113291)),f329(f329(f257(x113291,x113291),x113292),x113292)),f309(x113291,x113293)))), % 166.69/166.43 inference(rename_variables,[],[4058])). % 166.69/166.43 cnf(11332,plain, % 166.69/166.43 (P1(f329(f329(f331(x113321),x113322),f247(f918(x113321,a905))))), % 166.69/166.43 inference(rename_variables,[],[3577])). % 166.69/166.43 cnf(11335,plain, % 166.69/166.43 (P1(f329(f329(f331(x113351),x113352),f247(f918(x113351,a905))))), % 166.69/166.43 inference(rename_variables,[],[3577])). % 166.69/166.43 cnf(11342,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x113421),f911(x113421))),f329(f329(f257(f911(x113421),f911(x113421)),x113422),f118(x113421))),f148(x113421,x113423)))), % 166.69/166.43 inference(rename_variables,[],[4668])). % 166.69/166.43 cnf(11345,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x113451),f911(x113451))),f329(f329(f257(f911(x113451),f911(x113451)),x113452),f118(x113451))),f150(x113451,x113453)))), % 166.69/166.43 inference(rename_variables,[],[4669])). % 166.69/166.43 cnf(11348,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x113481),f911(x113481))),f329(f329(f257(f911(x113481),f911(x113481)),x113482),f118(x113481))),f160(x113481,x113483)))), % 166.69/166.43 inference(rename_variables,[],[4670])). % 166.69/166.43 cnf(11350,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x113501),f911(x113501))),f329(f329(f257(f911(x113501),f911(x113501)),f118(x113501)),x113502)),f329(f289(f911(x113501),f911(x113501)),f148(x113501,x113503))))), % 166.69/166.43 inference(scs_inference,[],[3661,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,4592,10608,10707,11158,4589,3216,3268,3384,10454,10457,10550,10553,3361,3882,3258,3323,3254,3282,3265,3894,3481,11013,3354,4056,4603,10445,4650,11184,3528,3318,10515,4200,4058,11204,4668,11116,11342,4669,11237,4670,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,11174,3875,3407,4643,10422,10425,10451,10944,10957,11071,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,4162,4067,11010,4116,3787,4150,3805,11210,4660,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,11113,11332,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,10822,11297,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,11193,4025,3870,11129,11135,3719,3872,10867,3687,10783,10786,10876,11042,4665,4666,10627,4296,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199])). % 166.69/166.43 cnf(11353,plain, % 166.69/166.43 (~P1(f329(f329(f240(f918(x113531,a905)),x113532),f191(f918(x113531,a905))))), % 166.69/166.43 inference(rename_variables,[],[4660])). % 166.69/166.43 cnf(11356,plain, % 166.69/166.43 (~P1(f329(f329(f331(x113561),x113562),f191(f918(x113561,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11371,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x113711,a905)),x113712),f247(f918(x113711,a905))))), % 166.69/166.43 inference(rename_variables,[],[3805])). % 166.69/166.43 cnf(11374,plain, % 166.69/166.43 (~P1(f329(f329(f191(f918(x113741,f918(x113742,a905))),x113743),x113744))), % 166.69/166.43 inference(rename_variables,[],[4666])). % 166.69/166.43 cnf(11378,plain, % 166.69/166.43 (~P1(f329(f329(f260(x113781,x113782,a905,f329(f175(x113783),f118(x113783))),x113784),x113785))), % 166.69/166.43 inference(scs_inference,[],[3661,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,4592,10608,10707,11158,4589,3216,3268,3384,10454,10457,10550,10553,3361,3882,3258,3323,3254,3282,3265,3894,3481,11013,3354,4056,4603,10445,4650,11184,3528,3318,10515,4200,4058,11204,4668,11116,11342,4669,11237,4670,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,11174,3875,3407,4643,10422,10425,10451,10944,10957,11071,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,4162,4067,11010,4116,3787,4150,3805,11210,11280,4660,10960,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,11113,11332,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,10822,11297,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,11193,4025,3870,11129,11135,3719,3872,10867,3687,10783,10786,10876,11042,4665,4666,10627,10739,4296,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199,9216,9224,9225,9253,9254,9255,9256,9257,9259,9307,9333,9368])). % 166.69/166.43 cnf(11379,plain, % 166.69/166.43 (~P1(f329(f329(f175(x113791),f118(x113791)),x113792))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(11384,plain, % 166.69/166.43 (~P1(f329(f329(f331(x113841),x113842),f191(f918(x113841,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11387,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(x113871,x113871)),f329(f329(f257(x113871,x113871),x113872),x113873)),f156(x113871,f118(f918(x113871,a910)))))), % 166.69/166.43 inference(rename_variables,[],[4667])). % 166.69/166.43 cnf(11390,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x113901,a905)),x113902),x113902))), % 166.69/166.43 inference(rename_variables,[],[3719])). % 166.69/166.43 cnf(11393,plain, % 166.69/166.43 (~P1(f329(f329(f331(x113931),x113932),f191(f918(x113931,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11395,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x113951,a905)),f329(f288(x113952,x113951,f191(f918(f917(x113952,x113951),a905))),x113953)),x113954))), % 166.69/166.43 inference(scs_inference,[],[3661,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,4592,10608,10707,11158,4589,3216,3268,3384,10454,10457,10550,10553,3361,3882,3258,3323,3254,3282,3265,3894,3481,11013,3354,4056,4603,10445,4650,11184,3528,3318,10515,4200,4058,11204,4668,11116,11342,4669,11237,4670,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,11174,3875,3407,4643,10422,10425,10451,10944,10957,11071,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,4162,4067,11010,4116,3787,4150,3805,11210,11280,4660,10960,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,11113,11332,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,10822,11297,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,11193,11196,4025,3870,11129,11135,3719,11263,3872,10867,11226,3687,10783,10786,10876,11042,4665,4666,10627,10739,4296,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199,9216,9224,9225,9253,9254,9255,9256,9257,9259,9307,9333,9368,9378,9379,9380,9390,9417,9433])). % 166.69/166.43 cnf(11396,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x113961,a905)),f191(f918(x113961,a905))),x113962))), % 166.69/166.43 inference(rename_variables,[],[3872])). % 166.69/166.43 cnf(11399,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(x113991,x113991)),f329(f329(f257(x113991,x113991),x113992),x113992)),f309(x113991,x113993)))), % 166.69/166.43 inference(rename_variables,[],[4058])). % 166.69/166.43 cnf(11401,plain, % 166.69/166.43 (~P40(x114011,x114012,x114013,f329(f329(f157(x114014,x114011),x114015),f329(a117,f118(x114014))),f118(x114012))), % 166.69/166.43 inference(scs_inference,[],[3661,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,4592,10608,10707,11158,4589,3216,3268,3384,10454,10457,10550,10553,3361,3882,3258,3323,3254,3282,3265,3894,3481,11013,3354,4056,4603,10445,4650,11184,3528,3318,10515,4200,4058,11204,11329,4668,11116,11342,4669,11237,4670,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,11174,3875,3407,4643,10422,10425,10451,10944,10957,11071,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,4162,4067,11010,4116,3787,4150,3805,11210,11280,4660,10960,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,11113,11332,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,10822,11297,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,11193,11196,4025,3870,11129,11135,3719,11263,3872,10867,11226,3687,10783,10786,10876,11042,4665,4666,10627,10739,4296,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199,9216,9224,9225,9253,9254,9255,9256,9257,9259,9307,9333,9368,9378,9379,9380,9390,9417,9433,9437,9440])). % 166.69/166.43 cnf(11405,plain, % 166.69/166.43 (P40(x114051,x114052,x114053,f329(f329(f157(x114054,x114051),x114055),f119(x114054,f118(x114054))),f118(x114052))), % 166.69/166.43 inference(scs_inference,[],[3661,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,4592,10608,10707,11158,4589,3216,3268,3384,10454,10457,10550,10553,3361,3882,3258,3323,3254,3282,3265,3894,3481,11013,3354,4056,4603,10445,4650,11184,3528,3318,10515,4200,4058,11204,11329,4668,11116,11342,4669,11237,4670,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,11174,3875,3407,4643,10422,10425,10451,10944,10957,11071,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,4162,4067,11010,4116,3787,4150,3805,11210,11280,4660,10960,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,11113,11332,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,10822,11297,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,11193,11196,4025,3870,11129,11135,3719,11263,3872,10867,11226,3687,10783,10786,10876,11042,4665,4666,10627,10739,4296,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199,9216,9224,9225,9253,9254,9255,9256,9257,9259,9307,9333,9368,9378,9379,9380,9390,9417,9433,9437,9440,9463,9464])). % 166.69/166.43 cnf(11410,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x114101),f911(x114101))),f329(f329(f257(f911(x114101),f911(x114101)),x114102),f118(x114101))),f160(x114101,x114103)))), % 166.69/166.43 inference(rename_variables,[],[4670])). % 166.69/166.43 cnf(11417,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x114171),f911(x114171))),f329(f329(f257(f911(x114171),f911(x114171)),f118(x114171)),x114172)),f148(x114171,x114173)))), % 166.69/166.43 inference(rename_variables,[],[4671])). % 166.69/166.43 cnf(11425,plain, % 166.69/166.43 (P1(f329(f329(f331(x114251),x114252),f247(f918(x114251,a905))))), % 166.69/166.43 inference(rename_variables,[],[3577])). % 166.69/166.43 cnf(11430,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x114301,a905)),f191(f918(x114301,a905))),x114302))), % 166.69/166.43 inference(rename_variables,[],[3872])). % 166.69/166.43 cnf(11433,plain, % 166.69/166.43 (~P1(f329(f329(f331(x114331),x114332),f191(f918(x114331,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11436,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x114361,a905)),x114362),f247(f918(x114361,a905))))), % 166.69/166.43 inference(rename_variables,[],[3805])). % 166.69/166.43 cnf(11441,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x114411,a905)),f191(f918(x114411,a905))),x114412))), % 166.69/166.43 inference(rename_variables,[],[3872])). % 166.69/166.43 cnf(11443,plain, % 166.69/166.43 (~P1(f329(f67(a910,x114431,x114432,x114433,f247(f918(a910,a905))),x114434))), % 166.69/166.43 inference(scs_inference,[],[3661,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,4592,10608,10707,11158,4589,3216,3268,3384,10454,10457,10550,10553,3361,3882,3258,3323,3254,3282,3265,3894,3481,11013,3354,4056,4603,10445,4650,11184,3528,3318,10515,4200,4058,11204,11329,4668,11116,11342,4669,11237,4670,11348,4671,4672,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,11174,3875,3407,4643,10422,10425,10451,10944,10957,11071,4656,3862,3628,4007,3452,3453,3427,4640,4597,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,4162,4067,11010,4116,3787,4150,3805,11210,11280,11371,4660,10960,11353,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,11113,11332,11335,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,3485,10831,10861,10870,3517,3943,3880,10494,4649,10442,10819,10822,11297,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,11193,11196,4025,3870,11129,11135,3719,11263,3872,10867,11226,11396,11430,3687,10783,10786,10876,11042,4665,4666,10627,10739,4296,4204,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199,9216,9224,9225,9253,9254,9255,9256,9257,9259,9307,9333,9368,9378,9379,9380,9390,9417,9433,9437,9440,9463,9464,9491,9553,9558,9561,9594,9595,9596,9621,9622,9638,9658,9664,9676,9701,9722])). % 166.69/166.43 cnf(11454,plain, % 166.69/166.43 (P1(f329(f247(f918(x114541,a905)),x114542))), % 166.69/166.43 inference(rename_variables,[],[3485])). % 166.69/166.43 cnf(11462,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x114621),f911(x114621))),f329(f329(f257(f911(x114621),f911(x114621)),x114622),f118(x114621))),f148(x114621,x114623)))), % 166.69/166.43 inference(rename_variables,[],[4668])). % 166.69/166.43 cnf(11465,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x114651),f911(x114651))),f329(f329(f257(f911(x114651),f911(x114651)),x114652),f118(x114651))),f150(x114651,x114653)))), % 166.69/166.43 inference(rename_variables,[],[4669])). % 166.69/166.43 cnf(11468,plain, % 166.69/166.43 (~E(f329(f329(f154(x114681),x114682),x114683),x114683)), % 166.69/166.43 inference(rename_variables,[],[4603])). % 166.69/166.43 cnf(11471,plain, % 166.69/166.43 (~E(f329(a117,x114711),x114711)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11474,plain, % 166.69/166.43 (~P1(f329(f329(f331(x114741),x114742),f191(f918(x114741,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11479,plain, % 166.69/166.43 (~P1(f329(f329(f331(x114791),x114792),f191(f918(x114791,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11482,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(f911(x114821),f911(x114821))),f329(f329(f257(f911(x114821),f911(x114821)),x114822),x114822)),f161(x114821,f309(x114821,x114823))))), % 166.69/166.43 inference(rename_variables,[],[4193])). % 166.69/166.43 cnf(11485,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x114851),f911(x114851))),f329(f329(f257(f911(x114851),f911(x114851)),x114852),f118(x114851))),f148(x114851,x114853)))), % 166.69/166.43 inference(rename_variables,[],[4668])). % 166.69/166.43 cnf(11489,plain, % 166.69/166.43 (E(f329(f329(f154(x114891),f678(f309(x114891,x114892),f329(f329(f154(x114891),x114893),x114894),x114894,x114893,x114891)),f679(f309(x114891,x114892),f329(f329(f154(x114891),x114893),x114894),x114894,x114893,x114891)),f329(f329(f154(x114891),x114893),x114894))), % 166.69/166.43 inference(scs_inference,[],[3661,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,4592,10608,10707,11158,4589,3216,3268,3384,10454,10457,10550,10553,3361,3882,3258,3323,3254,3282,3265,3894,3481,11013,3354,4056,4603,10445,10605,4650,11184,3528,3318,10515,4200,4058,11204,11329,4668,11116,11342,11462,4669,11237,11345,4670,11348,4671,11417,4672,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,11174,3875,3407,4643,10422,10425,10451,10944,10957,11071,4656,3862,3628,4007,3452,3453,3427,4640,4597,4193,11482,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,4162,4067,11010,4116,3787,4150,3805,11210,11280,11371,4660,10960,11353,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,11113,11332,11335,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,3485,10831,10861,10870,10873,3517,3943,3880,10494,4649,10442,10819,10822,11297,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,11193,11196,4025,3870,11129,11135,3719,11263,3872,10867,11226,11396,11430,3687,10783,10786,10876,11042,4665,4666,10627,10739,4296,4204,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199,9216,9224,9225,9253,9254,9255,9256,9257,9259,9307,9333,9368,9378,9379,9380,9390,9417,9433,9437,9440,9463,9464,9491,9553,9558,9561,9594,9595,9596,9621,9622,9638,9658,9664,9676,9701,9722,9731,9732,9733,9734,9751,9753,9758,9788,9789,9795,9796,9841,9842,9852,9876,9895,9897,9898])). % 166.69/166.43 cnf(11495,plain, % 166.69/166.43 (~P1(f329(f329(f331(x114951),x114952),f191(f918(x114951,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11498,plain, % 166.69/166.43 (~P1(f329(f329(f331(x114981),x114982),f191(f918(x114981,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11501,plain, % 166.69/166.43 (P1(f329(f329(f331(x115011),x115012),f247(f918(x115011,a905))))), % 166.69/166.43 inference(rename_variables,[],[3577])). % 166.69/166.43 cnf(11504,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x115041),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(11509,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(x115091,x115091)),f329(f329(f257(x115091,x115091),x115092),x115093)),f156(x115091,f118(f918(x115091,a910)))))), % 166.69/166.43 inference(rename_variables,[],[4667])). % 166.69/166.43 cnf(11512,plain, % 166.69/166.43 (~E(f329(f312(x115121,f918(x115121,a905),x115122),x115123),f329(f310(x115121),x115123))), % 166.69/166.43 inference(rename_variables,[],[4650])). % 166.69/166.43 cnf(11515,plain, % 166.69/166.43 (~E(f329(f312(x115151,f918(x115151,a905),x115152),x115153),f329(f310(x115151),x115153))), % 166.69/166.43 inference(rename_variables,[],[4650])). % 166.69/166.43 cnf(11517,plain, % 166.69/166.43 (E(f329(f329(f257(a910,a910),f665(f309(a910,a319),a319,a910,f329(f329(f257(a910,a910),x115171),f329(a117,x115171)),a910,a910)),f666(f309(a910,a319),a319,a910,f329(f329(f257(a910,a910),x115171),f329(a117,x115171)),a910,a910)),f329(f329(f257(a910,a910),x115171),f329(a117,x115171)))), % 166.69/166.43 inference(scs_inference,[],[3661,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,4592,10608,10707,11158,4589,3216,3268,3384,10454,10457,10550,10553,3361,3882,3258,3323,3254,3282,3265,3894,3481,11013,3354,4056,4603,10445,10605,4650,11184,11275,11512,3528,3318,10515,4200,4058,11204,11329,4668,11116,11342,11462,4669,11237,11345,4670,11348,4671,11417,4672,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,11174,3875,3407,4643,10422,10425,10451,10944,10957,11071,4656,3862,3628,4007,3452,3453,3427,4640,4597,4193,11482,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,4162,4067,11010,4116,3787,4150,3805,11210,11280,11371,4660,10960,11353,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,11113,11332,11335,11425,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,11479,11495,3485,10831,10861,10870,10873,3517,3943,3880,10494,4649,10442,10819,10822,11297,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,11193,11196,11387,4025,3870,11129,11135,3719,11263,3872,10867,11226,11396,11430,3687,10783,10786,10876,11042,4665,4666,10627,10739,4296,4204,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199,9216,9224,9225,9253,9254,9255,9256,9257,9259,9307,9333,9368,9378,9379,9380,9390,9417,9433,9437,9440,9463,9464,9491,9553,9558,9561,9594,9595,9596,9621,9622,9638,9658,9664,9676,9701,9722,9731,9732,9733,9734,9751,9753,9758,9788,9789,9795,9796,9841,9842,9852,9876,9895,9897,9898,9907,9919,9944,9977,9979,9983,10031,10072,10073,10075])). % 166.69/166.43 cnf(11520,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x115201),f911(x115201))),f329(f329(f257(f911(x115201),f911(x115201)),x115202),f118(x115201))),f148(x115201,x115203)))), % 166.69/166.43 inference(rename_variables,[],[4668])). % 166.69/166.43 cnf(11523,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x115231),f911(x115231))),f329(f329(f257(f911(x115231),f911(x115231)),x115232),f118(x115231))),f150(x115231,x115233)))), % 166.69/166.43 inference(rename_variables,[],[4669])). % 166.69/166.43 cnf(11526,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x115261),f911(x115261))),f329(f329(f257(f911(x115261),f911(x115261)),x115262),f118(x115261))),f148(x115261,x115263)))), % 166.69/166.43 inference(rename_variables,[],[4668])). % 166.69/166.43 cnf(11529,plain, % 166.69/166.43 (~P1(f329(f329(f331(x115291),x115292),f191(f918(x115291,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11531,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(x115311,x115312)),f329(f329(f257(x115311,x115312),f329(x115313,x115314)),f329(x115315,x115314))),f329(f312(f917(x115316,x115316),f917(x115311,x115312),f263(x115316,x115311,x115316,x115312,x115313,x115315)),f309(x115316,x115317))))), % 166.69/166.43 inference(scs_inference,[],[3661,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,4592,10608,10707,11158,4589,3216,3268,3384,10454,10457,10550,10553,3361,3882,3258,3323,3254,3282,3265,3894,3481,11013,3354,4056,4603,10445,10605,4650,11184,11275,11512,3528,3318,10515,4200,4058,11204,11329,11399,4668,11116,11342,11462,11485,11520,4669,11237,11345,11465,4670,11348,4671,11417,4672,3339,3619,3786,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,11174,3875,3407,4643,10422,10425,10451,10944,10957,11071,4656,3862,3628,4007,3452,3453,3427,4640,4597,4193,11482,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,4162,4067,11010,4116,3787,4150,3805,11210,11280,11371,4660,10960,11353,3424,10543,10634,10780,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,4639,10462,10491,10981,11022,3577,10712,10800,11066,11113,11332,11335,11425,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,11479,11495,11498,3485,10831,10861,10870,10873,3517,3943,3880,10494,4649,10442,10819,10822,11297,3445,10864,11016,4241,4646,3950,4631,4634,3400,3404,4633,4632,4662,10733,4667,11193,11196,11387,4025,3870,11129,11135,3719,11263,3872,10867,11226,11396,11430,3687,10783,10786,10876,11042,4665,4666,10627,10739,4296,4204,3903,4663,10467,10470,10825,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199,9216,9224,9225,9253,9254,9255,9256,9257,9259,9307,9333,9368,9378,9379,9380,9390,9417,9433,9437,9440,9463,9464,9491,9553,9558,9561,9594,9595,9596,9621,9622,9638,9658,9664,9676,9701,9722,9731,9732,9733,9734,9751,9753,9758,9788,9789,9795,9796,9841,9842,9852,9876,9895,9897,9898,9907,9919,9944,9977,9979,9983,10031,10072,10073,10075,10084,10085,10105,10110,10201])). % 166.69/166.43 cnf(11534,plain, % 166.69/166.43 (~P1(f329(f329(f331(x115341),x115342),f191(f918(x115341,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11537,plain, % 166.69/166.43 (~P1(f329(f329(f331(x115371),x115372),f191(f918(x115371,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11540,plain, % 166.69/166.43 (P1(f329(f329(f331(x115401),f329(x115402,x115403)),f329(f312(x115404,x115401,x115402),f247(f918(x115404,a905)))))), % 166.69/166.43 inference(rename_variables,[],[4025])). % 166.69/166.43 cnf(11543,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(x115431,x115431)),f329(f329(f257(x115431,x115431),x115432),x115433)),f156(x115431,f118(f918(x115431,a910)))))), % 166.69/166.43 inference(rename_variables,[],[4667])). % 166.69/166.43 cnf(11551,plain, % 166.69/166.43 (E(f119(x115511,f118(x115511)),f118(x115511))), % 166.69/166.43 inference(rename_variables,[],[3268])). % 166.69/166.43 cnf(11554,plain, % 166.69/166.43 (~E(f329(a117,x115541),x115541)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11561,plain, % 166.69/166.43 (~E(f329(a117,x115611),x115611)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11566,plain, % 166.69/166.43 (E(f329(f287(x115661,x115661),f268(x115661,x115662)),x115662)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(11569,plain, % 166.69/166.43 (E(f329(f287(x115691,x115691),f268(x115691,x115692)),x115692)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(11575,plain, % 166.69/166.43 (~E(f329(a117,x115751),x115751)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11580,plain, % 166.69/166.43 (~E(f329(f329(f82(a1),x115801),x115801),a102)), % 166.69/166.43 inference(rename_variables,[],[4600])). % 166.69/166.43 cnf(11587,plain, % 166.69/166.43 (E(f329(f329(f23(a910),f2(a910)),x115871),f2(a910))), % 166.69/166.43 inference(rename_variables,[],[3340])). % 166.69/166.43 cnf(11590,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x115901),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(11597,plain, % 166.69/166.43 (E(f329(f329(f82(a1),f329(f329(f83(a1),x115971),f329(f329(f37(a1),x115972),x115971))),f46(a1,x115972,x115971)),x115972)), % 166.69/166.43 inference(rename_variables,[],[3974])). % 166.69/166.43 cnf(11621,plain, % 166.69/166.43 (~E(f329(a117,x116211),x116211)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11624,plain, % 166.69/166.43 (~E(f329(a117,x116241),x116241)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11646,plain, % 166.69/166.43 (~E(f329(a117,x116461),x116461)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11649,plain, % 166.69/166.43 (~E(f329(f329(f154(x116491),x116492),x116493),x116493)), % 166.69/166.43 inference(rename_variables,[],[4603])). % 166.69/166.43 cnf(11656,plain, % 166.69/166.43 (~P1(f329(f329(f175(x116561),f118(x116561)),x116562))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(11662,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),f2(a910)),f329(a117,x116621)))), % 166.69/166.43 inference(rename_variables,[],[3504])). % 166.69/166.43 cnf(11663,plain, % 166.69/166.43 (~E(f329(a117,x116631),x116631)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11666,plain, % 166.69/166.43 (P1(f329(f329(f331(x116661),x116662),f247(f918(x116661,a905))))), % 166.69/166.43 inference(rename_variables,[],[3577])). % 166.69/166.43 cnf(11678,plain, % 166.69/166.43 (~E(f329(a117,x116781),x116781)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11681,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),x116811),x116811))), % 166.69/166.43 inference(rename_variables,[],[3424])). % 166.69/166.43 cnf(11688,plain, % 166.69/166.43 (P1(f329(f67(x116881,x116882,x116883,x116884,f191(f918(x116881,a905))),x116884))), % 166.69/166.43 inference(rename_variables,[],[4335])). % 166.69/166.43 cnf(11689,plain, % 166.69/166.43 (E(f329(f287(x116891,x116891),f268(x116891,x116892)),x116892)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(11702,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),f329(f329(f82(a910),x117021),x117022)),x117022))), % 166.69/166.43 inference(rename_variables,[],[4663])). % 166.69/166.43 cnf(11705,plain, % 166.69/166.43 (~P1(f329(f329(f240(a1),f329(f105(a1),x117051)),f2(a1)))), % 166.69/166.43 inference(rename_variables,[],[4656])). % 166.69/166.43 cnf(11728,plain, % 166.69/166.43 (E(f329(f287(x117281,x117281),f268(x117281,x117282)),x117282)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(11733,plain, % 166.69/166.43 (E(f329(f287(x117331,x117331),f268(x117331,x117332)),x117332)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(11736,plain, % 166.69/166.43 (~P1(f329(f329(f240(a1),f329(f105(a1),x117361)),f2(a1)))), % 166.69/166.43 inference(rename_variables,[],[4656])). % 166.69/166.43 cnf(11741,plain, % 166.69/166.43 (~E(f329(a117,x117411),x117411)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11750,plain, % 166.69/166.43 (~P1(f329(f329(f175(x117501),f118(x117501)),x117502))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(11771,plain, % 166.69/166.43 (~P1(f329(f329(f240(a1),f329(f105(a1),x117711)),f2(a1)))), % 166.69/166.43 inference(rename_variables,[],[4656])). % 166.69/166.43 cnf(11774,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x117741),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(11775,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x117751),f329(a117,x117751)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(11778,plain, % 166.69/166.43 (~P1(f329(f329(f240(a1),f329(f105(a1),x117781)),f2(a1)))), % 166.69/166.43 inference(rename_variables,[],[4656])). % 166.69/166.43 cnf(11781,plain, % 166.69/166.43 (~P1(f329(f329(f331(x117811),x117812),f191(f918(x117811,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11782,plain, % 166.69/166.43 (P1(f329(f329(f331(f918(x117821,a905)),x117822),f329(f310(x117821),x117822)))), % 166.69/166.43 inference(rename_variables,[],[3787])). % 166.69/166.43 cnf(11797,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x117971)),x117971))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(11798,plain, % 166.69/166.43 (~E(f329(a117,x117981),x117981)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11808,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),f329(f329(f82(a910),x118081),x118082)),x118081))), % 166.69/166.43 inference(rename_variables,[],[4664])). % 166.69/166.43 cnf(11811,plain, % 166.69/166.43 (~P1(f329(f329(f240(a1),f329(f105(a1),x118111)),f2(a1)))), % 166.69/166.43 inference(rename_variables,[],[4656])). % 166.69/166.43 cnf(11814,plain, % 166.69/166.43 (~E(f329(a117,x118141),x118141)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(11827,plain, % 166.69/166.43 (P1(f329(f329(f331(x118271),x118272),f329(f329(f311(x118271),x118272),x118273)))), % 166.69/166.43 inference(rename_variables,[],[3735])). % 166.69/166.43 cnf(11828,plain, % 166.69/166.43 (~P1(f329(f329(f239(a1),f2(a1)),f329(f81(a1),f329(f105(a1),f329(a117,x118281)))))), % 166.69/166.43 inference(rename_variables,[],[4665])). % 166.69/166.43 cnf(11831,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),f329(f329(f23(a910),x118311),x118312)),f329(a117,x118311)))), % 166.69/166.43 inference(rename_variables,[],[3875])). % 166.69/166.43 cnf(11834,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),f46(a910,x118341,x118342)),x118341))), % 166.69/166.43 inference(rename_variables,[],[3880])). % 166.69/166.43 cnf(11840,plain, % 166.69/166.43 (E(f329(f287(x118401,x118401),f268(x118401,x118402)),x118402)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(11845,plain, % 166.69/166.43 (E(f329(f329(f137(x118451),f172(x118451,x118452,x118453)),f172(x118451,x118454,x118453)),f329(f329(f137(x118451),f172(x118451,x118454,x118453)),f172(x118451,x118452,x118453)))), % 166.69/166.43 inference(rename_variables,[],[3988])). % 166.69/166.43 cnf(11850,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x118501)),x118501))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(11859,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x118591),x118591))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(11862,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),f46(a910,x118621,x118622)),x118621))), % 166.69/166.43 inference(rename_variables,[],[3880])). % 166.69/166.43 cnf(11863,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),f2(a910)),x118631))), % 166.69/166.43 inference(rename_variables,[],[3445])). % 166.69/166.43 cnf(11880,plain, % 166.69/166.43 (E(f329(f287(x118801,x118801),f268(x118801,x118802)),x118802)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(11883,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x118831),x118831))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(11886,plain, % 166.69/166.43 (P1(f329(f329(f331(x118861),f329(x118862,x118863)),f329(f312(x118864,x118861,x118862),f247(f918(x118864,a905)))))), % 166.69/166.43 inference(rename_variables,[],[4025])). % 166.69/166.43 cnf(11887,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x118871)),x118871))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(11890,plain, % 166.69/166.43 (P1(f329(f329(f331(x118901),f329(x118902,x118903)),f329(f312(x118904,x118901,x118902),f247(f918(x118904,a905)))))), % 166.69/166.43 inference(rename_variables,[],[4025])). % 166.69/166.43 cnf(11891,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),f329(f329(f82(a910),x118911),x118912)),x118912))), % 166.69/166.43 inference(rename_variables,[],[4663])). % 166.69/166.43 cnf(11896,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),f329(f329(f82(a910),x118961),x118962)),x118961))), % 166.69/166.43 inference(rename_variables,[],[4664])). % 166.69/166.43 cnf(11899,plain, % 166.69/166.43 (~P1(f329(f329(f175(x118991),f118(x118991)),x118992))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(11902,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),x119021),x119021))), % 166.69/166.43 inference(rename_variables,[],[3424])). % 166.69/166.43 cnf(11908,plain, % 166.69/166.43 (~P41(x119081,x119082,f118(x119081))), % 166.69/166.43 inference(rename_variables,[],[4614])). % 166.69/166.43 cnf(11911,plain, % 166.69/166.43 (P1(f329(f329(f331(x119111),x119112),f329(f329(f311(x119111),x119112),x119113)))), % 166.69/166.43 inference(rename_variables,[],[3735])). % 166.69/166.43 cnf(11924,plain, % 166.69/166.43 (~P1(f329(f329(f331(x119241),x119242),f191(f918(x119241,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11927,plain, % 166.69/166.43 (E(f329(f329(f16(x119271,x119272),x119273),x119274),x119273)), % 166.69/166.43 inference(rename_variables,[],[3414])). % 166.69/166.43 cnf(11930,plain, % 166.69/166.43 (E(f329(f329(f16(x119301,x119302),x119303),x119304),x119303)), % 166.69/166.43 inference(rename_variables,[],[3414])). % 166.69/166.43 cnf(11942,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),f2(a910)),f329(a117,x119421)))), % 166.69/166.43 inference(rename_variables,[],[3504])). % 166.69/166.43 cnf(11945,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),x119451),x119451))), % 166.69/166.43 inference(rename_variables,[],[3424])). % 166.69/166.43 cnf(11948,plain, % 166.69/166.43 (P1(f329(f62(x119481),f329(f175(x119481),x119482)))), % 166.69/166.43 inference(rename_variables,[],[3464])). % 166.69/166.43 cnf(11951,plain, % 166.69/166.43 (P1(f329(f62(x119511),f329(f175(x119511),x119512)))), % 166.69/166.43 inference(rename_variables,[],[3464])). % 166.69/166.43 cnf(11954,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),f329(f81(a1),f329(f105(a1),x119541))),f329(f105(a1),x119542)))), % 166.69/166.43 inference(rename_variables,[],[3904])). % 166.69/166.43 cnf(11957,plain, % 166.69/166.43 (~P1(f329(f329(f331(x119571),x119572),f191(f918(x119571,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(11973,plain, % 166.69/166.43 (~P1(f329(f329(f331(a910),x119731),f329(f285(a910),f2(a910))))), % 166.69/166.43 inference(scs_inference,[],[3661,4613,4614,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,11471,11554,11561,11575,11621,11624,11646,11663,11678,11741,11798,4592,10608,10707,11158,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3077,3081,3082,3093,3102,3113,3115,3116,3123,3174,3179,3188,3204,3315,3216,4575,3988,11845,3268,11551,3384,10454,10457,10550,10553,10858,11566,11569,11689,11728,11733,11840,3361,3882,3258,3621,3974,11597,3323,3254,3282,3278,3265,3894,3481,11013,3354,4056,4603,10445,10605,11468,3414,11927,4650,11184,11275,11512,11515,3528,3318,10515,10834,3319,3581,3235,3340,11587,4200,4058,11204,11329,11399,4668,11116,11342,11462,11485,11520,11526,4669,11237,11345,11465,4670,11348,4671,11417,4672,3339,3619,3786,4471,4472,4600,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,11174,11775,3875,11831,3407,3504,11662,4643,10422,10425,10451,10944,10957,11071,11504,11590,11774,4656,11705,11736,11771,11778,3862,3628,4007,3452,3453,3427,4640,4597,3612,4657,4193,11482,3745,3464,11948,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,11379,11656,11750,4162,4067,11010,4116,3787,4150,3805,11210,11280,11371,4660,10960,11353,3424,10543,10634,10780,10844,11681,11902,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,3500,4639,10462,10491,10981,11022,11031,11859,3577,10712,10800,11066,11113,11332,11335,11425,11501,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,11479,11495,11498,11529,11534,11537,11781,11924,3485,10831,10861,10870,10873,3524,3517,3943,3880,10494,11834,4649,10442,10819,10822,11297,11313,11797,11850,11887,3445,10864,11016,11089,3904,4241,4646,3950,4631,4634,3400,3404,4633,4632,3735,11827,4335,4662,10733,10736,4667,11193,11196,11387,11509,4025,11540,11886,3870,11129,11135,3719,11263,3872,10867,11226,11396,11430,3687,10783,10786,10876,11042,4665,11828,4666,10627,10739,4296,4204,3903,3848,4663,10467,10470,10825,10828,11702,4664,11808,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199,9216,9224,9225,9253,9254,9255,9256,9257,9259,9307,9333,9368,9378,9379,9380,9390,9417,9433,9437,9440,9463,9464,9491,9553,9558,9561,9594,9595,9596,9621,9622,9638,9658,9664,9676,9701,9722,9731,9732,9733,9734,9751,9753,9758,9788,9789,9795,9796,9841,9842,9852,9876,9895,9897,9898,9907,9919,9944,9977,9979,9983,10031,10072,10073,10075,10084,10085,10105,10110,10201,10287,10288,10352,10368,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267])). % 166.69/166.43 cnf(11976,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),x119761),x119761))), % 166.69/166.43 inference(rename_variables,[],[3424])). % 166.69/166.43 cnf(11979,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),x119791),x119791))), % 166.69/166.43 inference(rename_variables,[],[3426])). % 166.69/166.43 cnf(11988,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),x119881),x119881))), % 166.69/166.43 inference(rename_variables,[],[3426])). % 166.69/166.43 cnf(11991,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x119911),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(11996,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x119961),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(12005,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),f2(a910)),x120051))), % 166.69/166.43 inference(rename_variables,[],[3445])). % 166.69/166.43 cnf(12006,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x120061)),x120061))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(12009,plain, % 166.69/166.43 (~P1(f329(f329(f175(x120091),f118(x120091)),x120092))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(12012,plain, % 166.69/166.43 (~P1(f329(f329(f175(x120121),f118(x120121)),x120122))), % 166.69/166.43 inference(rename_variables,[],[4648])). % 166.69/166.43 cnf(12030,plain, % 166.69/166.43 (P1(f329(f329(f240(a1),f329(f81(a1),f80(a1))),f2(a1)))), % 166.69/166.43 inference(scs_inference,[],[3661,4613,4614,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,11471,11554,11561,11575,11621,11624,11646,11663,11678,11741,11798,4592,10608,10707,11158,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3077,3081,3082,3093,3101,3102,3107,3113,3115,3116,3123,3174,3179,3188,3197,3204,3315,3216,4575,3988,11845,3268,11551,3384,10454,10457,10550,10553,10858,11566,11569,11689,11728,11733,11840,3361,3882,3258,3621,3974,11597,3323,3254,3282,3278,3265,3894,3481,11013,3354,4056,4603,10445,10605,11468,3414,11927,4650,11184,11275,11512,11515,3528,3318,10515,10834,3319,3581,3235,3340,11587,4200,4058,11204,11329,11399,4668,11116,11342,11462,11485,11520,11526,4669,11237,11345,11465,11523,4670,11348,4671,11417,4672,3339,3619,3786,4471,4472,4600,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,11174,11775,3875,11831,3407,3504,11662,4643,10422,10425,10451,10944,10957,11071,11504,11590,11774,11991,11996,4656,11705,11736,11771,11778,11811,3862,3628,4007,3452,3453,3427,4640,4597,3612,4657,4193,11482,3745,3464,11948,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,11379,11656,11750,11899,12009,4162,4067,11010,4116,3787,4150,3805,11210,11280,11371,4660,10960,11353,3424,10543,10634,10780,10844,11681,11902,11945,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,11058,11979,3500,4639,10462,10491,10981,11022,11031,11859,3577,10712,10800,11066,11113,11332,11335,11425,11501,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,11479,11495,11498,11529,11534,11537,11781,11924,3485,10831,10861,10870,10873,3524,3517,3943,3880,10494,11834,11862,4649,10442,10819,10822,11297,11313,11797,11850,11887,3445,10864,11016,11089,11863,3904,4241,4646,3950,4631,4634,3400,3404,4633,4632,3735,11827,4335,4662,10733,10736,4667,11193,11196,11387,11509,4025,11540,11886,3870,11129,11135,3719,11263,3872,10867,11226,11396,11430,3687,10783,10786,10876,11042,4665,11828,4666,10627,10739,4296,4204,3903,3848,4663,10467,10470,10825,10828,11702,4664,11808,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199,9216,9224,9225,9253,9254,9255,9256,9257,9259,9307,9333,9368,9378,9379,9380,9390,9417,9433,9437,9440,9463,9464,9491,9553,9558,9561,9594,9595,9596,9621,9622,9638,9658,9664,9676,9701,9722,9731,9732,9733,9734,9751,9753,9758,9788,9789,9795,9796,9841,9842,9852,9876,9895,9897,9898,9907,9919,9944,9977,9979,9983,10031,10072,10073,10075,10084,10085,10105,10110,10201,10287,10288,10352,10368,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571])). % 166.69/166.43 cnf(12033,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x120331)),x120331))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(12036,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x120361)),x120361))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(12039,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x120391)),x120391))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(12042,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x120421)),x120421))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(12045,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x120451),x120451))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12048,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x120481),x120481))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12051,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x120511),x120511))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12054,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x120541),x120541))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12070,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),f329(f329(f23(a910),x120701),f329(a117,x120701))),f2(a910)))), % 166.69/166.43 inference(scs_inference,[],[3661,4613,4614,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,11471,11554,11561,11575,11621,11624,11646,11663,11678,11741,11798,4592,10608,10707,11158,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3077,3081,3082,3093,3101,3102,3107,3113,3115,3116,3123,3174,3179,3188,3197,3204,3315,3216,4575,3988,11845,3268,11551,3384,10454,10457,10550,10553,10858,11566,11569,11689,11728,11733,11840,3361,3882,3258,3621,3974,11597,3323,3254,3282,3278,3265,3894,3481,11013,3354,4056,4603,10445,10605,11468,3414,11927,4650,11184,11275,11512,11515,3528,3318,10515,10834,3319,3581,3235,3340,11587,4200,4058,11204,11329,11399,4668,11116,11342,11462,11485,11520,11526,4669,11237,11345,11465,11523,4670,11348,4671,11417,4672,3339,3619,3786,4471,4472,4600,3723,3939,3492,10534,10647,10724,10794,10797,10837,10936,11174,11775,3875,11831,3407,3504,11662,4643,10422,10425,10451,10944,10957,11071,11504,11590,11774,11991,11996,4656,11705,11736,11771,11778,11811,3862,3628,4007,3452,3453,3427,4640,4597,3612,4657,4193,11482,3745,3464,11948,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,11379,11656,11750,11899,12009,4162,4067,11010,4116,3787,4150,3805,11210,11280,11371,4660,10960,11353,3424,10543,10634,10780,10844,11681,11902,11945,11976,3425,10916,10963,10966,10997,11019,11055,11096,3426,10621,10849,10939,11058,11979,3500,4639,10462,10491,10981,11022,11031,11859,11883,12045,12048,12051,3577,10712,10800,11066,11113,11332,11335,11425,11501,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,11479,11495,11498,11529,11534,11537,11781,11924,3485,10831,10861,10870,10873,3524,3517,3943,3880,10494,11834,11862,4649,10442,10819,10822,11297,11313,11797,11850,11887,12006,12033,12036,12039,3445,10864,11016,11089,11863,3904,4241,4646,3950,4631,4634,3400,3404,4633,4632,3735,11827,4335,4662,10733,10736,4667,11193,11196,11387,11509,4025,11540,11886,3870,11129,11135,3719,11263,3872,10867,11226,11396,11430,3687,10783,10786,10876,11042,4665,11828,4666,10627,10739,4296,4204,3903,3848,4663,10467,10470,10825,10828,11702,4664,11808,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199,9216,9224,9225,9253,9254,9255,9256,9257,9259,9307,9333,9368,9378,9379,9380,9390,9417,9433,9437,9440,9463,9464,9491,9553,9558,9561,9594,9595,9596,9621,9622,9638,9658,9664,9676,9701,9722,9731,9732,9733,9734,9751,9753,9758,9788,9789,9795,9796,9841,9842,9852,9876,9895,9897,9898,9907,9919,9944,9977,9979,9983,10031,10072,10073,10075,10084,10085,10105,10110,10201,10287,10288,10352,10368,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648])). % 166.69/166.43 cnf(12071,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),x120711),x120711))), % 166.69/166.43 inference(rename_variables,[],[3424])). % 166.69/166.43 cnf(12077,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),x120771),x120771))), % 166.69/166.43 inference(rename_variables,[],[3426])). % 166.69/166.43 cnf(12088,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),x120881),x120881))), % 166.69/166.43 inference(rename_variables,[],[3426])). % 166.69/166.43 cnf(12091,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(f917(f911(x120911),f911(x120911)),a905)),f161(x120911,x120912)),f309(f911(x120911),f160(x120911,x120912))))), % 166.69/166.43 inference(rename_variables,[],[4121])). % 166.69/166.43 cnf(12098,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x120981),f329(a117,x120981)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(12101,plain, % 166.69/166.43 (P1(f329(f329(f331(f918(x121011,a905)),x121012),f329(f310(x121011),x121012)))), % 166.69/166.43 inference(rename_variables,[],[3787])). % 166.69/166.43 cnf(12102,plain, % 166.69/166.43 (~E(f329(a117,x121021),x121021)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(12107,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),x121071),x121071))), % 166.69/166.43 inference(rename_variables,[],[3426])). % 166.69/166.43 cnf(12112,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),x121121),x121121))), % 166.69/166.43 inference(rename_variables,[],[3426])). % 166.69/166.43 cnf(12123,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x121231,a905)),x121232),f329(f329(f311(x121231),x121233),x121232)))), % 166.69/166.43 inference(rename_variables,[],[3870])). % 166.69/166.43 cnf(12126,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),x121261),x121261))), % 166.69/166.43 inference(rename_variables,[],[3424])). % 166.69/166.43 cnf(12127,plain, % 166.69/166.43 (~E(f329(a117,x121271),x121271)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(12130,plain, % 166.69/166.43 (P1(f329(f329(f331(x121301),x121302),f247(f918(x121301,a905))))), % 166.69/166.43 inference(rename_variables,[],[3577])). % 166.69/166.43 cnf(12141,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x121411),x121411))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12142,plain, % 166.69/166.43 (~E(f329(a117,x121421),x121421)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(12145,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x121451),x121451))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(12148,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x121481),x121481))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(12151,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x121511),x121511))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(12154,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x121541),x121541))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(12157,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),x121571),x121571))), % 166.69/166.43 inference(rename_variables,[],[3426])). % 166.69/166.43 cnf(12160,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x121601),x121601))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12163,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x121631),x121631))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12164,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x121641),f329(a117,x121641)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(12171,plain, % 166.69/166.43 (~E(f329(a117,x121711),x121711)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(12176,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x121761),x121761))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12177,plain, % 166.69/166.43 (~E(f329(a117,x121771),x121771)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(12180,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),x121801),x121801))), % 166.69/166.43 inference(rename_variables,[],[3426])). % 166.69/166.43 cnf(12197,plain, % 166.69/166.43 (P1(f329(f329(f239(a1),x121971),x121971))), % 166.69/166.43 inference(rename_variables,[],[3426])). % 166.69/166.43 cnf(12202,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),f2(a910)),x122021))), % 166.69/166.43 inference(rename_variables,[],[3445])). % 166.69/166.43 cnf(12216,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x122161),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(12219,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x122191),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(12222,plain, % 166.69/166.43 (~P1(f329(f329(f331(x122221),x122222),f191(f918(x122221,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(12225,plain, % 166.69/166.43 (~P1(f329(f329(f331(x122251),x122252),f191(f918(x122251,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(12228,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x122281),x122281))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12231,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x122311),x122311))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12234,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x122341),x122341))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12237,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x122371),x122371))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12240,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x122401),f329(a117,x122401)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(12247,plain, % 166.69/166.43 (P1(f329(f329(f331(f918(x122471,a905)),x122472),f329(f310(x122471),x122472)))), % 166.69/166.43 inference(rename_variables,[],[3787])). % 166.69/166.43 cnf(12252,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x122521,a905)),x122522),f329(f329(f311(x122521),x122523),x122522)))), % 166.69/166.43 inference(rename_variables,[],[3870])). % 166.69/166.43 cnf(12259,plain, % 166.69/166.43 (~P1(f329(f329(f331(x122591),x122592),f191(f918(x122591,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(12268,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x122681,a905)),x122682),f247(f918(x122681,a905))))), % 166.69/166.43 inference(rename_variables,[],[3805])). % 166.69/166.43 cnf(12269,plain, % 166.69/166.43 (~E(f329(a117,x122691),x122691)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(12272,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x122721,a905)),f329(f175(x122721),f329(f139(x122721,x122722),x122723))),f329(f175(x122721),x122723)))), % 166.69/166.43 inference(rename_variables,[],[4067])). % 166.69/166.43 cnf(12278,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x122781),f329(a117,x122781)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(12287,plain, % 166.69/166.43 (P48(a25,x122871,x122872,x122871)), % 166.69/166.43 inference(rename_variables,[],[3637])). % 166.69/166.43 cnf(12290,plain, % 166.69/166.43 (E(f329(f287(x122901,x122901),f268(x122901,x122902)),x122902)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(12301,plain, % 166.69/166.43 (~P1(f329(f329(f239(a910),f329(a117,x123011)),x123011))), % 166.69/166.43 inference(rename_variables,[],[4649])). % 166.69/166.43 cnf(12302,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x123021),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(12305,plain, % 166.69/166.43 (P1(f329(f62(x123051),f191(f918(x123051,a905))))), % 166.69/166.43 inference(rename_variables,[],[3500])). % 166.69/166.43 cnf(12306,plain, % 166.69/166.43 (~P1(f329(f329(f331(x123061),x123062),f191(f918(x123061,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(12309,plain, % 166.69/166.43 (P48(a25,x123091,x123092,x123091)), % 166.69/166.43 inference(rename_variables,[],[3637])). % 166.69/166.43 cnf(12318,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x123181,a905)),f329(f175(x123181),f179(x123181,x123182,x123183))),f329(f175(x123181),x123182)))), % 166.69/166.43 inference(rename_variables,[],[4116])). % 166.69/166.43 cnf(12321,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),x123211),x123211))), % 166.69/166.43 inference(rename_variables,[],[3424])). % 166.69/166.43 cnf(12324,plain, % 166.69/166.43 (P30(x123241,x123241,f5(x123241),x123242)), % 166.69/166.43 inference(rename_variables,[],[3661])). % 166.69/166.43 cnf(12329,plain, % 166.69/166.43 (P1(f329(f329(f331(f918(x123291,a905)),x123292),f329(f310(x123291),x123292)))), % 166.69/166.43 inference(rename_variables,[],[3787])). % 166.69/166.43 cnf(12334,plain, % 166.69/166.43 (P1(f329(f329(f331(x123341),x123342),f329(f329(f311(x123341),x123342),x123343)))), % 166.69/166.43 inference(rename_variables,[],[3735])). % 166.69/166.43 cnf(12339,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),x123391),x123391))), % 166.69/166.43 inference(rename_variables,[],[3424])). % 166.69/166.43 cnf(12342,plain, % 166.69/166.43 (~P1(f329(f329(f331(x123421),x123422),f191(f918(x123421,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(12345,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x123451,a905)),x123452),f329(f329(f311(x123451),x123453),x123452)))), % 166.69/166.43 inference(rename_variables,[],[3870])). % 166.69/166.43 cnf(12346,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x123461,a905)),x123462),f247(f918(x123461,a905))))), % 166.69/166.43 inference(rename_variables,[],[3805])). % 166.69/166.43 cnf(12353,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x123531),x123531))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(12356,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x123561),x123561))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(12359,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x123591),x123591))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(12362,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x123621),x123621))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(12365,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x123651),f329(a117,x123651)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(12368,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x123681),f329(a117,x123681)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(12371,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x123711,a905)),x123712),x123712))), % 166.69/166.43 inference(rename_variables,[],[3719])). % 166.69/166.43 cnf(12378,plain, % 166.69/166.43 (P1(f329(f329(f331(f918(x123781,a905)),x123782),f329(f310(x123781),x123782)))), % 166.69/166.43 inference(rename_variables,[],[3787])). % 166.69/166.43 cnf(12387,plain, % 166.69/166.43 (~E(f329(a117,x123871),x123871)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(12388,plain, % 166.69/166.43 (E(f329(f312(x123881,x123881,f5(x123881)),x123882),x123882)), % 166.69/166.43 inference(rename_variables,[],[3481])). % 166.69/166.43 cnf(12391,plain, % 166.69/166.43 (P38(x123911,x123912,f118(x123911),f118(x123911))), % 166.69/166.43 inference(rename_variables,[],[3669])). % 166.69/166.43 cnf(12394,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x123941,a905)),f329(f175(x123941),f179(x123941,x123942,x123943))),f329(f175(x123941),x123942)))), % 166.69/166.43 inference(rename_variables,[],[4116])). % 166.69/166.43 cnf(12395,plain, % 166.69/166.43 (P1(f329(f62(x123951),f329(f175(x123951),x123952)))), % 166.69/166.43 inference(rename_variables,[],[3464])). % 166.69/166.43 cnf(12406,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x124061),x124061))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12409,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x124091),x124091))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12414,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),f2(a910)),x124141))), % 166.69/166.43 inference(rename_variables,[],[3445])). % 166.69/166.43 cnf(12421,plain, % 166.69/166.43 (P18(a910,f329(f171(a910),f329(f329(f157(f911(x124211),a910),f192(f911(x124211))),f182(x124211,x124212))))), % 166.69/166.43 inference(rename_variables,[],[3984])). % 166.69/166.43 cnf(12424,plain, % 166.69/166.43 (P30(x124241,x124241,f5(x124241),x124242)), % 166.69/166.43 inference(rename_variables,[],[3661])). % 166.69/166.43 cnf(12427,plain, % 166.69/166.43 (P30(x124271,x124271,f5(x124271),x124272)), % 166.69/166.43 inference(rename_variables,[],[3661])). % 166.69/166.43 cnf(12430,plain, % 166.69/166.43 (P1(f329(f329(f331(f911(x124301)),f118(x124301)),f164(x124301,x124302)))), % 166.69/166.43 inference(rename_variables,[],[3619])). % 166.69/166.43 cnf(12433,plain, % 166.69/166.43 (~P1(f329(f329(f191(f918(x124331,f918(x124332,a905))),x124333),x124334))), % 166.69/166.43 inference(rename_variables,[],[4666])). % 166.69/166.43 cnf(12438,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x124381),x124381))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(12439,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),f2(a910)),x124391))), % 166.69/166.43 inference(rename_variables,[],[3445])). % 166.69/166.43 cnf(12442,plain, % 166.69/166.43 (~P1(f329(f329(f191(f918(x124421,f918(x124422,a905))),x124423),x124424))), % 166.69/166.43 inference(rename_variables,[],[4666])). % 166.69/166.43 cnf(12445,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(f917(f911(x124451),f911(x124451)),a905)),f161(x124451,x124452)),f309(f911(x124451),f160(x124451,x124452))))), % 166.69/166.43 inference(rename_variables,[],[4121])). % 166.69/166.43 cnf(12451,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x124511,a905)),f329(f312(x124512,x124511,x124513),f329(f313(x124512,x124511,x124513),x124514))),x124514))), % 166.69/166.43 inference(rename_variables,[],[4296])). % 166.69/166.43 cnf(12454,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x124541,a905)),f329(f175(x124541),f179(x124541,x124542,x124543))),f329(f175(x124541),x124542)))), % 166.69/166.43 inference(rename_variables,[],[4116])). % 166.69/166.43 cnf(12455,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x124551,a905)),f329(f175(x124551),f329(f139(x124551,x124552),x124553))),f329(f175(x124551),x124553)))), % 166.69/166.43 inference(rename_variables,[],[4067])). % 166.69/166.43 cnf(12458,plain, % 166.69/166.43 (~P1(f329(f329(f240(f918(x124581,a905)),x124582),f191(f918(x124581,a905))))), % 166.69/166.43 inference(rename_variables,[],[4660])). % 166.69/166.43 cnf(12461,plain, % 166.69/166.43 (P1(f329(f329(f197(a25),x124611),x124611))), % 166.69/166.43 inference(rename_variables,[],[3424])). % 166.69/166.43 cnf(12469,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x124691,a905)),f329(f312(x124692,x124691,x124693),f329(f313(x124692,x124691,x124693),x124694))),x124694))), % 166.69/166.43 inference(rename_variables,[],[4296])). % 166.69/166.43 cnf(12474,plain, % 166.69/166.43 (P1(f329(f329(f331(f911(x124741)),f118(x124741)),f164(x124741,x124742)))), % 166.69/166.43 inference(rename_variables,[],[3619])). % 166.69/166.43 cnf(12477,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x124771),f911(x124771))),f329(f329(f257(f911(x124771),f911(x124771)),x124772),f118(x124771))),f148(x124771,x124773)))), % 166.69/166.43 inference(rename_variables,[],[4668])). % 166.69/166.43 cnf(12480,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x124801),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(12482,plain, % 166.69/166.43 (~P1(f329(f62(x124821),f247(f918(x124821,a905))))), % 166.69/166.43 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% 166.69/166.43 cnf(12483,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x124831,a905)),x124832),x124832))), % 166.69/166.43 inference(rename_variables,[],[3719])). % 166.69/166.43 cnf(12486,plain, % 166.69/166.43 (~P1(f329(f329(f331(x124861),x124862),f191(f918(x124861,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(12489,plain, % 166.69/166.43 (~P1(f329(f329(f191(f918(x124891,f918(x124892,a905))),x124893),x124894))), % 166.69/166.43 inference(rename_variables,[],[4666])). % 166.69/166.43 cnf(12492,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x124921,a905)),f329(f312(x124922,x124921,x124923),f329(f313(x124922,x124921,x124923),x124924))),x124924))), % 166.69/166.43 inference(rename_variables,[],[4296])). % 166.69/166.43 cnf(12493,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x124931,a905)),x124932),x124932))), % 166.69/166.43 inference(rename_variables,[],[3719])). % 166.69/166.43 cnf(12498,plain, % 166.69/166.43 (E(f329(f287(x124981,x124981),f268(x124981,x124982)),x124982)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(12501,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x125011,a905)),f329(f175(x125011),f179(x125011,x125012,x125013))),f329(f175(x125011),x125012)))), % 166.69/166.43 inference(rename_variables,[],[4116])). % 166.69/166.43 cnf(12502,plain, % 166.69/166.43 (P1(f329(f62(x125021),f329(f175(x125021),x125022)))), % 166.69/166.43 inference(rename_variables,[],[3464])). % 166.69/166.43 cnf(12508,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x125081),x125081))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12511,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x125111),x125111))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12522,plain, % 166.69/166.43 (P30(x125221,x125221,f5(x125221),x125222)), % 166.69/166.43 inference(rename_variables,[],[3661])). % 166.69/166.43 cnf(12527,plain, % 166.69/166.43 (~P1(f329(f329(f331(x125271),x125272),f191(f918(x125271,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(12530,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(x125301,x125301)),f329(f329(f257(x125301,x125301),x125302),x125302)),f309(x125301,x125303)))), % 166.69/166.43 inference(rename_variables,[],[4058])). % 166.69/166.43 cnf(12533,plain, % 166.69/166.43 (~P1(f329(f329(f331(x125331),x125332),f191(f918(x125331,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(12536,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(x125361,x125361)),f329(f329(f257(x125361,x125361),x125362),x125362)),f309(x125361,x125363)))), % 166.69/166.43 inference(rename_variables,[],[4058])). % 166.69/166.43 cnf(12546,plain, % 166.69/166.43 (~E(f329(f329(f154(x125461),x125462),x125463),x125463)), % 166.69/166.43 inference(rename_variables,[],[4603])). % 166.69/166.43 cnf(12549,plain, % 166.69/166.43 (P1(f329(f329(f331(x125491),x125492),f247(f918(x125491,a905))))), % 166.69/166.43 inference(rename_variables,[],[3577])). % 166.69/166.43 cnf(12550,plain, % 166.69/166.43 (~E(f329(a117,x125501),x125501)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(12553,plain, % 166.69/166.43 (P1(f329(f329(f331(f911(x125531)),f118(x125531)),f164(x125531,x125532)))), % 166.69/166.43 inference(rename_variables,[],[3619])). % 166.69/166.43 cnf(12554,plain, % 166.69/166.43 (~E(f329(f329(f154(x125541),x125542),x125543),f118(x125541))), % 166.69/166.43 inference(rename_variables,[],[4610])). % 166.69/166.43 cnf(12557,plain, % 166.69/166.43 (P30(x125571,x125571,f5(x125571),x125572)), % 166.69/166.43 inference(rename_variables,[],[3661])). % 166.69/166.43 cnf(12560,plain, % 166.69/166.43 (P1(f329(f329(f331(x125601),f329(x125602,x125603)),f329(f312(x125604,x125601,x125602),f247(f918(x125604,a905)))))), % 166.69/166.43 inference(rename_variables,[],[4025])). % 166.69/166.43 cnf(12561,plain, % 166.69/166.43 (P30(x125611,x125611,f5(x125611),x125612)), % 166.69/166.43 inference(rename_variables,[],[3661])). % 166.69/166.43 cnf(12564,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x125641,a905)),f191(f918(x125641,a905))),x125642))), % 166.69/166.43 inference(rename_variables,[],[3872])). % 166.69/166.43 cnf(12565,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x125651,a905)),x125652),x125652))), % 166.69/166.43 inference(rename_variables,[],[3719])). % 166.69/166.43 cnf(12568,plain, % 166.69/166.43 (P1(f329(f329(f331(x125681),f329(x125682,x125683)),f329(f312(x125684,x125681,x125682),f247(f918(x125684,a905)))))), % 166.69/166.43 inference(rename_variables,[],[4025])). % 166.69/166.43 cnf(12569,plain, % 166.69/166.43 (P30(x125691,x125691,f5(x125691),x125692)), % 166.69/166.43 inference(rename_variables,[],[3661])). % 166.69/166.43 cnf(12572,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(f911(x125721),f911(x125721))),f329(f329(f257(f911(x125721),f911(x125721)),f118(x125721)),f118(x125721))),f161(x125721,x125722)))), % 166.69/166.43 inference(rename_variables,[],[4200])). % 166.69/166.43 cnf(12576,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x125761),f2(a910)))), % 166.69/166.43 inference(rename_variables,[],[4643])). % 166.69/166.43 cnf(12582,plain, % 166.69/166.43 (E(f329(f329(f137(x125821),x125822),f118(x125821)),x125822)), % 166.69/166.43 inference(rename_variables,[],[3355])). % 166.69/166.43 cnf(12583,plain, % 166.69/166.43 (~E(f329(f329(f154(x125831),x125832),x125833),x125833)), % 166.69/166.43 inference(rename_variables,[],[4603])). % 166.69/166.43 cnf(12586,plain, % 166.69/166.43 (E(f329(f329(f137(x125861),x125862),f118(x125861)),x125862)), % 166.69/166.43 inference(rename_variables,[],[3355])). % 166.69/166.43 cnf(12587,plain, % 166.69/166.43 (~E(f329(f329(f154(x125871),x125872),x125873),x125873)), % 166.69/166.43 inference(rename_variables,[],[4603])). % 166.69/166.43 cnf(12590,plain, % 166.69/166.43 (E(f329(f329(f137(x125901),x125902),f118(x125901)),x125902)), % 166.69/166.43 inference(rename_variables,[],[3355])). % 166.69/166.43 cnf(12597,plain, % 166.69/166.43 (P59(x125971,f268(x125971,x125972))), % 166.69/166.43 inference(rename_variables,[],[3295])). % 166.69/166.43 cnf(12600,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x126001,a905)),f329(f175(x126001),f329(f139(x126001,x126002),x126003))),f329(f175(x126001),x126003)))), % 166.69/166.43 inference(rename_variables,[],[4067])). % 166.69/166.43 cnf(12601,plain, % 166.69/166.43 (E(f329(f312(x126011,x126011,f5(x126011)),x126012),x126012)), % 166.69/166.43 inference(rename_variables,[],[3481])). % 166.69/166.43 cnf(12606,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x126061,a905)),x126062),f247(f918(x126061,a905))))), % 166.69/166.43 inference(rename_variables,[],[3805])). % 166.69/166.43 cnf(12610,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x126101),x126101))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12611,plain, % 166.69/166.43 (~E(f329(a117,x126111),x126111)), % 166.69/166.43 inference(rename_variables,[],[4579])). % 166.69/166.43 cnf(12614,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x126141,a905)),f191(f918(x126141,a905))),x126142))), % 166.69/166.43 inference(rename_variables,[],[3872])). % 166.69/166.43 cnf(12617,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x126171),x126171))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(12620,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x126201,a905)),x126202),x126202))), % 166.69/166.43 inference(rename_variables,[],[3719])). % 166.69/166.43 cnf(12625,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x126251,a905)),x126252),f329(f329(f311(x126251),x126253),x126252)))), % 166.69/166.43 inference(rename_variables,[],[3870])). % 166.69/166.43 cnf(12628,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x126281,a905)),x126282),x126282))), % 166.69/166.43 inference(rename_variables,[],[3719])). % 166.69/166.43 cnf(12629,plain, % 166.69/166.43 (~P1(f329(f329(f331(x126291),x126292),f191(f918(x126291,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(12632,plain, % 166.69/166.43 (~P1(f329(f329(f331(x126321),x126322),f191(f918(x126321,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(12640,plain, % 166.69/166.43 (~P1(f329(f329(f239(f918(f917(x126401,x126401),a905)),f329(f312(f917(x126401,x126401),f917(x126401,x126401),f5(f917(x126401,x126401))),f247(f918(f917(x126401,x126401),a905)))),f329(f312(f917(x126401,x126401),f917(x126401,x126401),f5(f917(x126401,x126401))),f191(f918(f917(x126401,x126401),a905)))))), % 166.69/166.43 inference(scs_inference,[],[4557,3637,12287,3661,11270,12324,12424,12427,12522,12557,12561,12569,3669,3678,3394,4613,4614,3291,3294,3295,4612,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,11471,11554,11561,11575,11621,11624,11646,11663,11678,11741,11798,11814,12102,12127,12142,12171,12177,12269,12387,12550,4592,10608,10707,11158,3480,3627,3344,4589,4601,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3101,3102,3103,3107,3113,3115,3116,3123,3174,3179,3188,3197,3204,3315,3216,4575,3988,11845,3268,11551,3384,10454,10457,10550,10553,10858,11566,11569,11689,11728,11733,11840,11880,12290,3355,12582,12586,3361,3370,3882,4186,3258,3621,3974,11597,3323,3254,3282,3278,3265,3894,3301,3481,11013,11138,12388,12601,3354,4056,4603,10445,10605,11468,11649,12546,12583,4610,12554,3414,11927,4650,11184,11275,11512,11515,3528,4628,3318,10515,10834,3319,3581,3235,3340,11587,4200,12572,4058,11204,11329,11399,12530,12536,4668,11116,11342,11462,11485,11520,11526,12477,4669,11237,11345,11465,11523,4670,11348,4671,11417,4672,3339,3619,12430,12474,12553,3786,3570,4471,4472,4600,11580,3723,3939,3984,3605,3865,3492,10534,10647,10724,10794,10797,10837,10936,11174,11775,12098,12164,12240,12278,12365,12368,3875,11831,3407,3504,11662,3684,4643,10422,10425,10451,10944,10957,11071,11504,11590,11774,11991,11996,12216,12219,12302,12480,4656,11705,11736,11771,11778,11811,3862,3628,4007,3452,3453,3427,4640,4597,3813,3612,4657,4193,11482,3745,3464,11948,11951,12395,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,11379,11656,11750,11899,12009,12012,4162,4121,12091,12445,4067,11010,12272,12455,4116,11207,12318,12394,12454,12501,3787,11782,12101,12247,12329,12378,4150,3805,11210,11280,11371,11436,12268,12346,4660,10960,11353,3424,10543,10634,10780,10844,11681,11902,11945,11976,12071,12126,12321,12339,12461,3425,10916,10963,10966,10997,11019,11055,11096,11132,12145,12148,12151,12154,12353,12356,12359,12362,12438,3426,10621,10849,10939,11058,11979,11988,12077,12088,12107,12112,12157,12180,3500,12305,4639,10462,10491,10981,11022,11031,11859,11883,12045,12048,12051,12054,12141,12160,12163,12176,12228,12231,12234,12237,12406,12409,12508,12511,3577,10712,10800,11066,11113,11332,11335,11425,11501,11666,12130,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,11479,11495,11498,11529,11534,11537,11781,11924,11957,12222,12225,12259,12306,12342,12486,12527,12533,12629,3485,10831,10861,10870,10873,3524,3517,3943,3880,10494,11834,11862,4649,10442,10819,10822,11297,11313,11797,11850,11887,12006,12033,12036,12039,12042,12301,3445,10864,11016,11089,11863,12005,12202,12414,3904,4241,4646,3915,3950,4631,4634,3400,3404,4633,4632,3735,11827,11911,4335,4662,10733,10736,4667,11193,11196,11387,11509,11543,4025,11540,11886,11890,12560,3870,11129,11135,11151,12123,12252,12345,3719,11263,11390,12371,12483,12493,12565,12620,3872,10867,11226,11396,11430,11441,12564,3687,10783,10786,10876,11042,4665,11828,4666,10627,10739,11374,12433,12442,4296,11003,12451,12469,4204,3903,3848,4663,10467,10470,10825,10828,11702,4664,11808,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,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% 166.69/166.43 cnf(12641,plain, % 166.69/166.43 (P30(x126411,x126411,f5(x126411),x126412)), % 166.69/166.43 inference(rename_variables,[],[3661])). % 166.69/166.43 cnf(12644,plain, % 166.69/166.43 (E(f329(f192(f911(x126441)),f172(x126441,x126442,x126443)),x126442)), % 166.69/166.43 inference(rename_variables,[],[3491])). % 166.69/166.43 cnf(12647,plain, % 166.69/166.43 (P31(x126471,x126471,f33(x126471),x126472,x126472)), % 166.69/166.43 inference(rename_variables,[],[4082])). % 166.69/166.43 cnf(12650,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x126501),x126501))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12651,plain, % 166.69/166.43 (P1(f329(f247(f918(x126511,a905)),x126512))), % 166.69/166.43 inference(rename_variables,[],[3485])). % 166.69/166.43 cnf(12654,plain, % 166.69/166.43 (~P1(f329(f329(f331(x126541),x126542),f191(f918(x126541,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(12660,plain, % 166.69/166.43 (P1(f329(f329(f331(x126601),f329(x126602,x126603)),f329(f312(x126604,x126601,x126602),f247(f918(x126604,a905)))))), % 166.69/166.43 inference(rename_variables,[],[4025])). % 166.69/166.43 cnf(12661,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(x126611,x126611)),f329(f329(f257(x126611,x126611),x126612),x126612)),f309(x126611,x126613)))), % 166.69/166.43 inference(rename_variables,[],[4058])). % 166.69/166.43 cnf(12664,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(x126641,x126641)),f329(f329(f257(x126641,x126641),x126642),x126642)),f309(x126641,x126643)))), % 166.69/166.43 inference(rename_variables,[],[4058])). % 166.69/166.43 cnf(12667,plain, % 166.69/166.43 (P1(f329(f329(f239(a910),x126671),x126671))), % 166.69/166.43 inference(rename_variables,[],[3425])). % 166.69/166.43 cnf(12668,plain, % 166.69/166.43 (P1(f329(f247(f918(x126681,a905)),x126682))), % 166.69/166.43 inference(rename_variables,[],[3485])). % 166.69/166.43 cnf(12671,plain, % 166.69/166.43 (P1(f329(f62(x126711),f329(f175(x126711),x126712)))), % 166.69/166.43 inference(rename_variables,[],[3464])). % 166.69/166.43 cnf(12678,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(x126781,x126781)),f329(f329(f257(x126781,x126781),x126782),x126782)),f329(f329(f291(x126781,x126781,x126781),f309(x126781,x126783)),f309(x126781,f309(x126781,x126783)))))), % 166.69/166.43 inference(scs_inference,[],[4557,4082,3637,12287,3661,11270,12324,12424,12427,12522,12557,12561,12569,3669,3678,3394,4613,4614,3291,3294,3295,4612,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,11471,11554,11561,11575,11621,11624,11646,11663,11678,11741,11798,11814,12102,12127,12142,12171,12177,12269,12387,12550,4592,10608,10707,11158,3480,3627,3344,4589,4601,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3101,3102,3103,3107,3113,3115,3116,3123,3174,3179,3188,3197,3204,3315,3216,4575,3988,11845,3268,11551,3384,10454,10457,10550,10553,10858,11566,11569,11689,11728,11733,11840,11880,12290,3355,12582,12586,12590,3361,3370,3882,4186,3491,3258,3621,3974,11597,3323,3254,3282,3278,3265,3894,3301,3481,11013,11138,12388,12601,3354,4056,4603,10445,10605,11468,11649,12546,12583,4610,12554,3414,11927,4650,11184,11275,11512,11515,3528,4628,3318,10515,10834,3319,3581,3235,3340,11587,4200,12572,4058,11204,11329,11399,12530,12536,12661,12664,4668,11116,11342,11462,11485,11520,11526,12477,4669,11237,11345,11465,11523,4670,11348,4671,11417,4672,3339,3619,12430,12474,12553,3786,3570,4471,4472,4600,11580,3723,3939,3984,3605,3865,3492,10534,10647,10724,10794,10797,10837,10936,11174,11775,12098,12164,12240,12278,12365,12368,3875,11831,3407,3504,11662,3684,4643,10422,10425,10451,10944,10957,11071,11504,11590,11774,11991,11996,12216,12219,12302,12480,4656,11705,11736,11771,11778,11811,3862,3628,4007,3452,3453,3427,4640,4597,3813,3612,4657,4193,11482,3745,3464,11948,11951,12395,12502,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,11379,11656,11750,11899,12009,12012,4162,4121,12091,12445,4067,11010,12272,12455,4116,11207,12318,12394,12454,12501,3787,11782,12101,12247,12329,12378,4150,3805,11210,11280,11371,11436,12268,12346,4660,10960,11353,3424,10543,10634,10780,10844,11681,11902,11945,11976,12071,12126,12321,12339,12461,3425,10916,10963,10966,10997,11019,11055,11096,11132,12145,12148,12151,12154,12353,12356,12359,12362,12438,12617,3426,10621,10849,10939,11058,11979,11988,12077,12088,12107,12112,12157,12180,3500,12305,4639,10462,10491,10981,11022,11031,11859,11883,12045,12048,12051,12054,12141,12160,12163,12176,12228,12231,12234,12237,12406,12409,12508,12511,12610,3577,10712,10800,11066,11113,11332,11335,11425,11501,11666,12130,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,11479,11495,11498,11529,11534,11537,11781,11924,11957,12222,12225,12259,12306,12342,12486,12527,12533,12629,12632,3485,10831,10861,10870,10873,11454,12651,3524,3517,3943,3880,10494,11834,11862,4649,10442,10819,10822,11297,11313,11797,11850,11887,12006,12033,12036,12039,12042,12301,3445,10864,11016,11089,11863,12005,12202,12414,3904,4241,4646,3915,3950,4631,4634,3400,3404,4633,4632,3735,11827,11911,4335,4662,10733,10736,4667,11193,11196,11387,11509,11543,4025,11540,11886,11890,12560,12568,3870,11129,11135,11151,12123,12252,12345,12625,3719,11263,11390,12371,12483,12493,12565,12620,3872,10867,11226,11396,11430,11441,12564,3687,10783,10786,10876,11042,4665,11828,4666,10627,10739,11374,12433,12442,4296,11003,12451,12469,4204,3903,3848,4663,10467,10470,10825,10828,11702,4664,11808,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619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% 166.69/166.43 cnf(12681,plain, % 166.69/166.43 (~P1(f329(f329(f191(f918(x126811,f918(x126812,a905))),x126813),x126814))), % 166.69/166.43 inference(rename_variables,[],[4666])). % 166.69/166.43 cnf(12684,plain, % 166.69/166.43 (~P1(f329(f329(f191(f918(x126841,f918(x126842,a905))),x126843),x126844))), % 166.69/166.43 inference(rename_variables,[],[4666])). % 166.69/166.43 cnf(12687,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x126871,a905)),x126872),f247(f918(x126871,a905))))), % 166.69/166.43 inference(rename_variables,[],[3805])). % 166.69/166.43 cnf(12690,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(x126901,x126901)),f329(f329(f257(x126901,x126901),x126902),x126902)),f309(x126901,x126903)))), % 166.69/166.43 inference(rename_variables,[],[4058])). % 166.69/166.43 cnf(12693,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),f329(f329(f82(a910),x126931),x126932)),x126932))), % 166.69/166.43 inference(rename_variables,[],[4663])). % 166.69/166.43 cnf(12694,plain, % 166.69/166.43 (P1(f329(f329(f240(a910),x126941),f329(a117,x126941)))), % 166.69/166.43 inference(rename_variables,[],[3492])). % 166.69/166.43 cnf(12697,plain, % 166.69/166.43 (P1(f329(f329(f239(f918(x126971,a905)),x126972),f247(f918(x126971,a905))))), % 166.69/166.43 inference(rename_variables,[],[3805])). % 166.69/166.43 cnf(12700,plain, % 166.69/166.43 (E(f329(f287(x127001,x127001),f268(x127001,x127002)),x127002)), % 166.69/166.43 inference(rename_variables,[],[3384])). % 166.69/166.43 cnf(12711,plain, % 166.69/166.43 (~P1(f329(f329(f331(x127111),x127112),f191(f918(x127111,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(12712,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(f911(x127121),f911(x127121))),f329(f329(f257(f911(x127121),f911(x127121)),f118(x127121)),f118(x127121))),f161(x127121,x127122)))), % 166.69/166.43 inference(rename_variables,[],[4200])). % 166.69/166.43 cnf(12721,plain, % 166.69/166.43 (P37(x127211,x127212,f118(x127211))), % 166.69/166.43 inference(rename_variables,[],[3360])). % 166.69/166.43 cnf(12724,plain, % 166.69/166.43 (E(f329(f192(f911(x127241)),f172(x127241,x127242,x127243)),x127242)), % 166.69/166.43 inference(rename_variables,[],[3491])). % 166.69/166.43 cnf(12727,plain, % 166.69/166.43 (~P1(f329(f329(f331(x127271),x127272),f191(f918(x127271,a905))))), % 166.69/166.43 inference(rename_variables,[],[4652])). % 166.69/166.43 cnf(12731,plain, % 166.69/166.43 (~P1(f329(f329(f331(f917(f911(x127311),f911(x127311))),f329(f329(f257(f911(x127311),f911(x127311)),x127312),x127312)),f150(x127311,f156(x127311,f118(f918(x127311,a910))))))), % 166.69/166.43 inference(scs_inference,[],[4557,4082,3637,12287,3661,11270,12324,12424,12427,12522,12557,12561,12569,3669,3678,3394,3360,4613,4614,3291,3294,3295,4612,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,11471,11554,11561,11575,11621,11624,11646,11663,11678,11741,11798,11814,12102,12127,12142,12171,12177,12269,12387,12550,4592,10608,10707,11158,3480,3627,3344,4589,4601,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3101,3102,3103,3107,3113,3115,3116,3123,3174,3179,3188,3197,3204,3315,3216,4575,3759,3988,11845,3268,11551,3384,10454,10457,10550,10553,10858,11566,11569,11689,11728,11733,11840,11880,12290,12498,3355,12582,12586,12590,3361,3370,3882,4186,3491,12644,3258,3621,3974,11597,3323,3254,3282,3278,3265,3894,3301,3481,11013,11138,12388,12601,3354,4056,4603,10445,10605,11468,11649,12546,12583,4610,12554,3414,11927,4650,11184,11275,11512,11515,3528,4628,3318,10515,10834,3319,3581,3235,3340,11587,4200,12572,12712,4058,11204,11329,11399,12530,12536,12661,12664,12690,4668,11116,11342,11462,11485,11520,11526,12477,4669,11237,11345,11465,11523,4670,11348,4671,11417,4672,3339,3619,12430,12474,12553,3786,3570,4471,4472,4600,11580,3723,3939,3984,3605,3865,3492,10534,10647,10724,10794,10797,10837,10936,11174,11775,12098,12164,12240,12278,12365,12368,3875,11831,3407,3504,11662,3684,4643,10422,10425,10451,10944,10957,11071,11504,11590,11774,11991,11996,12216,12219,12302,12480,4656,11705,11736,11771,11778,11811,3862,3628,4007,3452,3453,3427,4640,4597,3813,3612,4657,4193,11482,3745,3464,11948,11951,12395,12502,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,11379,11656,11750,11899,12009,12012,4162,4121,12091,12445,4067,11010,12272,12455,4116,11207,12318,12394,12454,12501,3787,11782,12101,12247,12329,12378,4150,3805,11210,11280,11371,11436,12268,12346,12606,12687,4660,10960,11353,3424,10543,10634,10780,10844,11681,11902,11945,11976,12071,12126,12321,12339,12461,3425,10916,10963,10966,10997,11019,11055,11096,11132,12145,12148,12151,12154,12353,12356,12359,12362,12438,12617,3426,10621,10849,10939,11058,11979,11988,12077,12088,12107,12112,12157,12180,3500,12305,4639,10462,10491,10981,11022,11031,11859,11883,12045,12048,12051,12054,12141,12160,12163,12176,12228,12231,12234,12237,12406,12409,12508,12511,12610,12650,3577,10712,10800,11066,11113,11332,11335,11425,11501,11666,12130,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,11479,11495,11498,11529,11534,11537,11781,11924,11957,12222,12225,12259,12306,12342,12486,12527,12533,12629,12632,12654,12711,3485,10831,10861,10870,10873,11454,12651,3524,3517,3943,3880,10494,11834,11862,4649,10442,10819,10822,11297,11313,11797,11850,11887,12006,12033,12036,12039,12042,12301,3445,10864,11016,11089,11863,12005,12202,12414,3904,4241,4646,3915,3950,4631,4634,3400,3404,4633,4632,3735,11827,11911,4335,11688,4662,10733,10736,4667,11193,11196,11387,11509,11543,4025,11540,11886,11890,12560,12568,3870,11129,11135,11151,12123,12252,12345,12625,3719,11263,11390,12371,12483,12493,12565,12620,4198,3872,10867,11226,11396,11430,11441,12564,3687,10783,10786,10876,11042,4665,11828,4666,10627,10739,11374,12433,12442,12489,12681,4296,11003,12451,12469,4204,3903,3848,4663,10467,10470,10825,10828,11702,11891,4664,11808,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8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% 166.69/166.43 cnf(12733,plain, % 166.69/166.43 (~P1(f329(f329(f240(a910),x127331),x127331))), % 166.69/166.43 inference(rename_variables,[],[4639])). % 166.69/166.43 cnf(12735,plain, % 166.69/166.43 (P1(f329(f329(f331(f917(f911(x127351),f911(x127351))),f329(f329(f257(f911(x127351),f911(x127351)),f172(x127351,f329(f192(f911(x127351)),x127352),x127353)),x127352)),f161(x127351,f247(f918(f917(x127351,x127351),a905)))))), % 166.73/166.43 inference(scs_inference,[],[4557,4082,3637,12287,3661,11270,12324,12424,12427,12522,12557,12561,12569,3669,3678,3394,3360,4613,4614,3291,3294,3295,4612,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,11471,11554,11561,11575,11621,11624,11646,11663,11678,11741,11798,11814,12102,12127,12142,12171,12177,12269,12387,12550,4592,10608,10707,11158,3480,3627,3344,4589,4601,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3101,3102,3103,3107,3113,3115,3116,3123,3174,3179,3188,3197,3204,3315,3216,4575,3759,3988,11845,3268,11551,3384,10454,10457,10550,10553,10858,11566,11569,11689,11728,11733,11840,11880,12290,12498,3355,12582,12586,12590,3361,3370,3882,4186,3491,12644,12724,3258,3621,3974,11597,3323,3254,3282,3278,3265,3894,3301,3481,11013,11138,12388,12601,3354,4056,4603,10445,10605,11468,11649,12546,12583,4610,12554,3414,11927,4650,11184,11275,11512,11515,3528,4628,3318,10515,10834,3319,3581,3235,3340,11587,4200,12572,12712,4058,11204,11329,11399,12530,12536,12661,12664,12690,4668,11116,11342,11462,11485,11520,11526,12477,4669,11237,11345,11465,11523,4670,11348,4671,11417,4672,3339,3619,12430,12474,12553,3786,3570,4471,4472,4600,11580,3723,3939,3984,3605,3865,3492,10534,10647,10724,10794,10797,10837,10936,11174,11775,12098,12164,12240,12278,12365,12368,3875,11831,3407,3504,11662,3684,4643,10422,10425,10451,10944,10957,11071,11504,11590,11774,11991,11996,12216,12219,12302,12480,4656,11705,11736,11771,11778,11811,3862,3628,4007,3452,3453,3427,4640,4597,3813,3612,4657,4193,11482,3745,3464,11948,11951,12395,12502,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,11379,11656,11750,11899,12009,12012,4162,4121,12091,12445,4067,11010,12272,12455,4116,11207,12318,12394,12454,12501,3787,11782,12101,12247,12329,12378,4150,3805,11210,11280,11371,11436,12268,12346,12606,12687,4660,10960,11353,3424,10543,10634,10780,10844,11681,11902,11945,11976,12071,12126,12321,12339,12461,3425,10916,10963,10966,10997,11019,11055,11096,11132,12145,12148,12151,12154,12353,12356,12359,12362,12438,12617,3426,10621,10849,10939,11058,11979,11988,12077,12088,12107,12112,12157,12180,3500,12305,4639,10462,10491,10981,11022,11031,11859,11883,12045,12048,12051,12054,12141,12160,12163,12176,12228,12231,12234,12237,12406,12409,12508,12511,12610,12650,3577,10712,10800,11066,11113,11332,11335,11425,11501,11666,12130,12549,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,11479,11495,11498,11529,11534,11537,11781,11924,11957,12222,12225,12259,12306,12342,12486,12527,12533,12629,12632,12654,12711,3485,10831,10861,10870,10873,11454,12651,3524,3517,3943,3880,10494,11834,11862,4649,10442,10819,10822,11297,11313,11797,11850,11887,12006,12033,12036,12039,12042,12301,3445,10864,11016,11089,11863,12005,12202,12414,3904,4241,4646,3915,3950,4631,4634,3400,3404,4633,4632,3735,11827,11911,4335,11688,4662,10733,10736,4667,11193,11196,11387,11509,11543,4025,11540,11886,11890,12560,12568,3870,11129,11135,11151,12123,12252,12345,12625,3719,11263,11390,12371,12483,12493,12565,12620,4198,3872,10867,11226,11396,11430,11441,12564,3687,10783,10786,10876,11042,4665,11828,4666,10627,10739,11374,12433,12442,12489,12681,4296,11003,12451,12469,4204,3903,3848,4663,10467,10470,10825,10828,11702,11891,4664,11808,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199,9216,9224,9225,9253,9254,9255,9256,9257,9259,9307,9333,9368,9378,9379,9380,9390,9417,9433,9437,9440,9463,9464,9491,9553,9558,9561,9594,9595,9596,9621,9622,9638,9658,9664,9676,9701,9722,9731,9732,9733,9734,9751,9753,9758,9788,9789,9795,9796,9841,9842,9852,9876,9895,9897,9898,9907,9919,9944,9977,9979,9983,10031,10072,10073,10075,10084,10085,10105,10110,10201,10287,10288,10352,10368,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7240,7250,7254,7261,7272,7277,7279,7286,7295,7308,7325,7346,7348,7365,7370,7423,7424,7425,7427,7430,7434,7440,7442,7505,7524,7537,7554,7555,7571,7603,7606,7613,7629,7651,7669,7672,7673,7683,7703,7705,7707,7709,7710,7711,7736,7763,7764,7796,7798,7799,7800,7805,7826,7844,7849,7855,7857,7865,7877,7878,7880,7903,7909,7936,8003,8004,8005,8053,8060,8061,8084,8085,8104,8105,8106,8171,8172,8200,8201,8233,8243,8254,8265,8296,8300,8306,8318,8336,8342,8364,8409,8441,8453,8472,8475,8502,8527,8593,8594,8597,8598,8707,8708,8709,8710,8736,8765,8794,8838,8856,8898,8914,8958,8961,8974,8981,9025,9069,9070,9087,9088,9101,9221,9227,9231,9251,9269,9294,9296,9299,9305,9308,9309,9319,9320,9340,9346,9355,9362,9403,9421,9441,9476,9477,9483,9544,9550,9590,9600,9603,9604,9606,9607,9620,9643,9657,9666,9667,9669,9671,9700,9822,9823,9871,9872,9912,9950,10058,10114])). % 166.73/166.43 cnf(12736,plain, % 166.73/166.43 (P1(f329(f329(f331(x127361),x127362),f247(f918(x127361,a905))))), % 166.73/166.43 inference(rename_variables,[],[3577])). % 166.73/166.43 cnf(12744,plain, % 166.73/166.43 (P1(f329(f329(f239(f918(x127441,a905)),x127442),x127442))), % 166.73/166.43 inference(rename_variables,[],[3719])). % 166.73/166.43 cnf(12747,plain, % 166.73/166.43 (~P1(f329(f329(f331(x127471),x127472),f191(f918(x127471,a905))))), % 166.73/166.43 inference(rename_variables,[],[4652])). % 166.73/166.43 cnf(12750,plain, % 166.73/166.43 (P1(f329(f329(f239(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x127501)),x127502)))), % 166.73/166.43 inference(rename_variables,[],[3903])). % 166.73/166.43 cnf(12753,plain, % 166.73/166.43 (~E(f329(a117,x127531),x127531)), % 166.73/166.43 inference(rename_variables,[],[4579])). % 166.73/166.43 cnf(12755,plain, % 166.73/166.43 (E(f329(f287(x127551,x127551),f268(x127551,x127552)),x127552)), % 166.73/166.43 inference(rename_variables,[],[3384])). % 166.73/166.43 cnf(12757,plain, % 166.73/166.43 (E(f329(f287(x127571,x127571),f268(x127571,x127572)),x127572)), % 166.73/166.43 inference(rename_variables,[],[3384])). % 166.73/166.43 cnf(12759,plain, % 166.73/166.43 (E(f329(f287(x127591,x127591),f268(x127591,x127592)),x127592)), % 166.73/166.43 inference(rename_variables,[],[3384])). % 166.73/166.43 cnf(12764,plain, % 166.73/166.43 (P60(x127641,x127642,f268(x127641,x127642))), % 166.73/166.43 inference(rename_variables,[],[3393])). % 166.73/166.43 cnf(12766,plain, % 166.73/166.43 (P60(x127661,x127662,f268(x127661,x127662))), % 166.73/166.43 inference(rename_variables,[],[3393])). % 166.73/166.43 cnf(12768,plain, % 166.73/166.43 (P60(x127681,x127682,f268(x127681,x127682))), % 166.73/166.43 inference(rename_variables,[],[3393])). % 166.73/166.43 cnf(12772,plain, % 166.73/166.43 (P43(x127721,f156(x127721,x127722))), % 166.73/166.43 inference(rename_variables,[],[3291])). % 166.73/166.43 cnf(12776,plain, % 166.73/166.43 (P29(x127761,x127762,f191(f918(f909(x127761),a905)))), % 166.73/166.43 inference(rename_variables,[],[3479])). % 166.73/166.43 cnf(12781,plain, % 166.73/166.43 (E(f329(f287(x127811,x127811),f268(x127811,x127812)),x127812)), % 166.73/166.43 inference(rename_variables,[],[3384])). % 166.73/166.43 cnf(12783,plain, % 166.73/166.43 (P30(x127831,x127831,f5(x127831),x127832)), % 166.73/166.43 inference(rename_variables,[],[3661])). % 166.73/166.43 cnf(12785,plain, % 166.73/166.43 (P30(x127851,x127851,f5(x127851),x127852)), % 166.73/166.43 inference(rename_variables,[],[3661])). % 166.73/166.43 cnf(12788,plain, % 166.73/166.43 (E(f329(f329(x127881,x127882),f329(f187(x127883,x127884,x127881),x127882)),f329(f187(x127883,x127884,x127881),f329(a117,x127882)))), % 166.73/166.43 inference(rename_variables,[],[3822])). % 166.73/166.43 cnf(12798,plain, % 166.73/166.43 (P48(a25,x127981,x127982,x127981)), % 166.73/166.43 inference(rename_variables,[],[3637])). % 166.73/166.43 cnf(12800,plain, % 166.73/166.43 (P48(a25,x128001,x128002,x128001)), % 166.73/166.43 inference(rename_variables,[],[3637])). % 166.73/166.43 cnf(12804,plain, % 166.73/166.43 (P63(x128041,f191(f918(x128041,a905)),x128042)), % 166.73/166.43 inference(rename_variables,[],[3443])). % 166.73/166.43 cnf(12820,plain, % 166.73/166.43 (E(f329(f287(x128201,x128201),f268(x128201,x128202)),x128202)), % 166.73/166.43 inference(rename_variables,[],[3384])). % 166.73/166.43 cnf(12822,plain, % 166.73/166.43 (E(f329(f287(x128221,x128221),f268(x128221,x128222)),x128222)), % 166.73/166.43 inference(rename_variables,[],[3384])). % 166.73/166.43 cnf(12824,plain, % 166.73/166.43 (P62(x128241,x128241,f268(x128241,x128242))), % 166.73/166.43 inference(rename_variables,[],[3394])). % 166.73/166.43 cnf(12830,plain, % 166.73/166.43 (E(f329(f287(x128301,x128301),f268(x128301,x128302)),x128302)), % 166.73/166.43 inference(rename_variables,[],[3384])). % 166.73/166.43 cnf(12838,plain, % 166.73/166.43 (E(f329(f287(x128381,x128381),f268(x128381,x128382)),x128382)), % 166.73/166.43 inference(rename_variables,[],[3384])). % 166.73/166.43 cnf(12840,plain, % 166.73/166.43 (E(f329(f287(x128401,x128401),f268(x128401,x128402)),x128402)), % 166.73/166.43 inference(rename_variables,[],[3384])). % 166.73/166.43 cnf(12843,plain, % 166.73/166.43 (E(f191(f918(f917(x128431,x128431),a905)),f268(x128431,f191(f918(x128431,a905))))), % 166.73/166.43 inference(rename_variables,[],[3495])). % 166.73/166.43 cnf(12845,plain, % 166.73/166.43 (P19(x128451,f918(x128451,a905),f311(x128451))), % 166.73/166.43 inference(rename_variables,[],[3397])). % 166.73/166.43 cnf(12849,plain, % 166.73/166.43 (P44(x128491,f268(x128491,x128492))), % 166.73/166.43 inference(rename_variables,[],[3292])). % 166.73/166.43 cnf(12855,plain, % 166.73/166.43 (P31(x128551,x128551,f33(x128551),x128552,x128552)), % 166.73/166.43 inference(rename_variables,[],[4082])). % 166.73/166.43 cnf(12857,plain, % 166.73/166.43 (P31(x128571,x128571,f33(x128571),x128572,x128572)), % 166.73/166.43 inference(rename_variables,[],[4082])). % 166.73/166.43 cnf(12859,plain, % 166.73/166.43 (P31(x128591,x128591,f33(x128591),x128592,x128592)), % 166.73/166.43 inference(rename_variables,[],[4082])). % 166.73/166.43 cnf(12863,plain, % 166.73/166.43 (P38(x128631,x128632,f118(x128631),f118(x128631))), % 166.73/166.43 inference(rename_variables,[],[3669])). % 166.73/166.43 cnf(12865,plain, % 166.73/166.43 (P38(x128651,x128652,f118(x128651),f118(x128651))), % 166.73/166.43 inference(rename_variables,[],[3669])). % 166.73/166.43 cnf(12871,plain, % 166.73/166.43 (P59(x128711,f268(x128711,x128712))), % 166.73/166.43 inference(rename_variables,[],[3295])). % 166.73/166.43 cnf(12876,plain, % 166.73/166.43 (P33(x128761,f2(a910),f329(f329(f329(f93(x128761),x128762),f329(a26,x128763)),x128764))), % 166.73/166.43 inference(rename_variables,[],[3798])). % 166.73/166.43 cnf(12883,plain, % 166.73/166.43 (P50(x128831,x128832,x128833,x128834,f191(f918(x128831,a905)),x128834)), % 166.73/166.43 inference(rename_variables,[],[4357])). % 166.73/166.43 cnf(12893,plain, % 166.73/166.43 (E(f329(f287(x128931,x128931),f268(x128931,x128932)),x128932)), % 166.73/166.43 inference(rename_variables,[],[3384])). % 166.73/166.43 cnf(12906,plain, % 166.73/166.43 (~P1(f329(f329(f240(a910),x129061),f2(a910)))), % 166.73/166.43 inference(rename_variables,[],[4643])). % 166.73/166.43 cnf(12915,plain, % 166.73/166.43 (~P1(f329(f329(f240(a1),f329(f105(a1),x129151)),f329(f81(a1),f329(f105(a1),x129152))))), % 166.73/166.43 inference(rename_variables,[],[4661])). % 166.73/166.43 cnf(12925,plain, % 166.73/166.43 (~P1(f329(f329(f240(a910),x129251),f2(a910)))), % 166.73/166.43 inference(rename_variables,[],[4643])). % 166.73/166.43 cnf(12928,plain, % 166.73/166.43 (~P1(f329(f329(f240(a910),x129281),f2(a910)))), % 166.73/166.43 inference(rename_variables,[],[4643])). % 166.73/166.43 cnf(12931,plain, % 166.73/166.43 (P1(f329(f62(a910),f307(a910,x129311,x129312)))), % 166.73/166.43 inference(rename_variables,[],[3629])). % 166.73/166.43 cnf(12934,plain, % 166.73/166.43 (P1(f329(f62(a910),f307(a910,x129341,x129342)))), % 166.73/166.43 inference(rename_variables,[],[3629])). % 166.73/166.43 cnf(12937,plain, % 166.73/166.43 (P1(f329(f62(a910),f307(a910,x129371,x129372)))), % 166.73/166.43 inference(rename_variables,[],[3629])). % 166.73/166.43 cnf(12940,plain, % 166.73/166.43 (P1(f329(f62(a910),f307(a910,x129401,x129402)))), % 166.73/166.43 inference(rename_variables,[],[3629])). % 166.73/166.43 cnf(12947,plain, % 166.73/166.43 (P1(f329(f329(f239(a1),f329(f81(a1),f329(f105(a1),x129471))),f329(f105(a1),x129472)))), % 166.73/166.43 inference(rename_variables,[],[3904])). % 166.73/166.43 cnf(12952,plain, % 166.73/166.43 (~P1(f329(f329(f240(a910),x129521),f2(a910)))), % 166.73/166.43 inference(rename_variables,[],[4643])). % 166.73/166.43 cnf(12953,plain, % 166.73/166.43 (P1(f329(f329(f239(a910),x129531),x129531))), % 166.73/166.43 inference(rename_variables,[],[3425])). % 166.73/166.43 cnf(12960,plain, % 166.73/166.43 (P1(f329(f329(f240(a910),x129601),f329(a117,x129601)))), % 166.73/166.43 inference(rename_variables,[],[3492])). % 166.73/166.43 cnf(12964,plain, % 166.73/166.43 (~P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),f2(a1))))), % 166.73/166.43 inference(scs_inference,[],[4557,4082,12647,12855,12857,12859,3637,12287,12309,12798,12800,3661,11270,12324,12424,12427,12522,12557,12561,12569,12641,12783,3669,12391,12863,12865,3678,3393,12764,12766,12768,3394,12824,3360,12721,4613,4614,11908,4357,12883,3397,12845,3234,3291,12772,3292,12849,3293,3294,3295,12597,12871,4612,3721,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,11471,11554,11561,11575,11621,11624,11646,11663,11678,11741,11798,11814,12102,12127,12142,12171,12177,12269,12387,12550,12611,4592,10608,10707,11158,3480,3443,12804,3627,3344,4589,4601,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3100,3101,3102,3103,3107,3113,3115,3116,3123,3174,3179,3188,3196,3197,3204,3315,4574,3216,3290,4575,3759,3988,11845,3268,11551,3405,3381,3384,10454,10457,10550,10553,10858,11566,11569,11689,11728,11733,11840,11880,12290,12498,12700,12755,12757,12759,12781,12820,12822,12830,12838,12840,3355,12582,12586,12590,3361,3370,3882,4186,3491,12644,12724,3258,3621,3974,11597,3479,12776,3323,3254,3282,3798,12876,3278,4091,3982,3803,4560,3265,3244,3894,3301,3481,11013,11138,12388,12601,3354,4056,4603,10445,10605,11468,11649,12546,12583,12587,4610,12554,3414,11927,4015,4650,11184,11275,11512,11515,3822,12788,3528,3746,4628,3495,12843,3318,10515,10834,3319,3581,3311,3235,3340,11587,4200,12572,12712,4058,11204,11329,11399,12530,12536,12661,12664,12690,4668,11116,11342,11462,11485,11520,11526,12477,4669,11237,11345,11465,11523,4670,11348,4671,11417,4672,3339,3619,12430,12474,12553,3786,3570,4471,4472,3642,4600,11580,3763,3723,3765,3939,3984,3605,3865,3492,10534,10647,10724,10794,10797,10837,10936,11174,11775,12098,12164,12240,12278,12365,12368,12694,3875,11831,3407,3504,11662,3684,4643,10422,10425,10451,10944,10957,11071,11504,11590,11774,11991,11996,12216,12219,12302,12480,12576,12906,12925,12928,4656,11705,11736,11771,11778,11811,3862,3628,3629,12931,12934,12937,4007,3452,3453,3427,4640,3317,4597,3813,4122,3612,4657,4193,11482,3745,3464,11948,11951,12395,12502,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,11379,11656,11750,11899,12009,12012,4162,4121,12091,12445,4067,11010,12272,12455,4116,11207,12318,12394,12454,12501,3787,11782,12101,12247,12329,12378,4150,3805,11210,11280,11371,11436,12268,12346,12606,12687,12697,4660,10960,11353,3424,10543,10634,10780,10844,11681,11902,11945,11976,12071,12126,12321,12339,12461,3425,10916,10963,10966,10997,11019,11055,11096,11132,12145,12148,12151,12154,12353,12356,12359,12362,12438,12617,12667,3426,10621,10849,10939,11058,11979,11988,12077,12088,12107,12112,12157,12180,3500,12305,4639,10462,10491,10981,11022,11031,11859,11883,12045,12048,12051,12054,12141,12160,12163,12176,12228,12231,12234,12237,12406,12409,12508,12511,12610,12650,3577,10712,10800,11066,11113,11332,11335,11425,11501,11666,12130,12549,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,11479,11495,11498,11529,11534,11537,11781,11924,11957,12222,12225,12259,12306,12342,12486,12527,12533,12629,12632,12654,12711,12727,3485,10831,10861,10870,10873,11454,12651,3524,3517,3943,3880,10494,11834,11862,4649,10442,10819,10822,11297,11313,11797,11850,11887,12006,12033,12036,12039,12042,12301,3445,10864,11016,11089,11863,12005,12202,12414,3904,11954,4241,3634,4646,3915,3950,4631,4634,4635,3400,3404,4633,4632,3735,11827,11911,4335,11688,4662,10733,10736,4667,11193,11196,11387,11509,11543,4025,11540,11886,11890,12560,12568,3870,11129,11135,11151,12123,12252,12345,12625,3719,11263,11390,12371,12483,12493,12565,12620,12628,4198,3872,10867,11226,11396,11430,11441,12564,3687,10783,10786,10876,11042,3686,4665,11828,4661,12915,4666,10627,10739,11374,12433,12442,12489,12681,12684,4296,11003,12451,12469,4204,3903,3848,3849,4663,10467,10470,10825,10828,11702,11891,4664,11808,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,649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% 166.73/166.43 cnf(12967,plain, % 166.73/166.43 (P1(f329(f329(f239(a1),x129671),x129671))), % 166.73/166.43 inference(rename_variables,[],[3426])). % 166.73/166.43 cnf(12970,plain, % 166.73/166.43 (P1(f329(f62(a910),f307(a910,x129701,x129702)))), % 166.73/166.43 inference(rename_variables,[],[3629])). % 166.73/166.43 cnf(12973,plain, % 166.73/166.43 (P1(f329(f62(a910),f307(a910,x129731,x129732)))), % 166.73/166.43 inference(rename_variables,[],[3629])). % 166.73/166.43 cnf(12976,plain, % 166.73/166.43 (P1(f329(f329(f239(a910),x129761),x129761))), % 166.73/166.43 inference(rename_variables,[],[3425])). % 166.73/166.43 cnf(12977,plain, % 166.73/166.43 (~E(f329(a117,x129771),f2(a910))), % 166.73/166.43 inference(rename_variables,[],[4589])). % 166.73/166.43 cnf(12994,plain, % 166.73/166.43 (P1(f329(f329(f239(a910),f46(a910,x129941,x129942)),x129941))), % 166.73/166.43 inference(rename_variables,[],[3880])). % 166.73/166.43 cnf(12999,plain, % 166.73/166.43 (P1(f329(f329(f240(a910),x129991),f329(a117,x129991)))), % 166.73/166.43 inference(rename_variables,[],[3492])). % 166.73/166.43 cnf(13002,plain, % 166.73/166.43 (P1(f329(f329(f240(a910),x130021),f329(a117,x130021)))), % 166.73/166.43 inference(rename_variables,[],[3492])). % 166.73/166.43 cnf(13003,plain, % 166.73/166.43 (~P1(f329(f329(f240(a910),x130031),f2(a910)))), % 166.73/166.43 inference(rename_variables,[],[4643])). % 166.73/166.43 cnf(13012,plain, % 166.73/166.43 (~P1(f329(f329(f240(a1),f329(f105(a1),x130121)),f2(a1)))), % 166.73/166.43 inference(rename_variables,[],[4656])). % 166.73/166.43 cnf(13013,plain, % 166.73/166.43 (P1(f329(f247(f918(x130131,a905)),x130132))), % 166.73/166.43 inference(rename_variables,[],[3485])). % 166.73/166.43 cnf(13016,plain, % 166.73/166.43 (~P1(f329(f329(f240(a1),f329(f105(a1),x130161)),f2(a1)))), % 166.73/166.43 inference(rename_variables,[],[4656])). % 166.73/166.43 cnf(13017,plain, % 166.73/166.43 (P1(f329(f247(f918(x130171,a905)),x130172))), % 166.73/166.43 inference(rename_variables,[],[3485])). % 166.73/166.43 cnf(13020,plain, % 166.73/166.43 (P1(f329(f247(f918(x130201,a905)),x130202))), % 166.73/166.43 inference(rename_variables,[],[3485])). % 166.73/166.43 cnf(13031,plain, % 166.73/166.43 (~P1(f329(f329(f331(x130311),x130312),f191(f918(x130311,a905))))), % 166.73/166.43 inference(rename_variables,[],[4652])). % 166.73/166.43 cnf(13032,plain, % 166.73/166.43 (P1(f329(f62(x130321),f191(f918(x130321,a905))))), % 166.73/166.43 inference(rename_variables,[],[3500])). % 166.73/166.43 cnf(13041,plain, % 166.73/166.43 (P1(f329(f329(f239(a910),f2(a910)),x130411))), % 166.73/166.43 inference(rename_variables,[],[3445])). % 166.73/166.43 cnf(13044,plain, % 166.73/166.43 (~P1(f329(f329(f331(x130441),x130442),f191(f918(x130441,a905))))), % 166.73/166.43 inference(rename_variables,[],[4652])). % 166.73/166.43 cnf(13047,plain, % 166.73/166.43 (~P1(f329(f329(f331(x130471),x130472),f191(f918(x130471,a905))))), % 166.73/166.43 inference(rename_variables,[],[4652])). % 166.73/166.43 cnf(13050,plain, % 166.73/166.43 (P1(f329(f329(f239(a910),x130501),x130501))), % 166.73/166.43 inference(rename_variables,[],[3425])). % 166.73/166.43 cnf(13058,plain, % 166.73/166.43 (P1(f329(f329(f240(a910),x130581),f329(a117,x130581)))), % 166.73/166.43 inference(rename_variables,[],[3492])). % 166.73/166.43 cnf(13061,plain, % 166.73/166.43 (P1(f329(f329(f239(a910),x130611),x130611))), % 166.73/166.43 inference(rename_variables,[],[3425])). % 166.73/166.43 cnf(13066,plain, % 166.73/166.43 (P1(f329(f329(f239(a910),x130661),x130661))), % 166.73/166.43 inference(rename_variables,[],[3425])). % 166.73/166.43 cnf(13069,plain, % 166.73/166.43 (P1(f329(f329(f239(a910),x130691),x130691))), % 166.73/166.43 inference(rename_variables,[],[3425])). % 166.73/166.43 cnf(13072,plain, % 166.73/166.43 (P1(f329(f329(f239(a910),x130721),x130721))), % 166.73/166.43 inference(rename_variables,[],[3425])). % 166.73/166.43 cnf(13075,plain, % 166.73/166.43 (E(f329(f329(f23(f918(x130751,a905)),f191(f918(x130751,a905))),x130752),f191(f918(x130751,a905)))), % 166.73/166.43 inference(rename_variables,[],[3690])). % 166.73/166.43 cnf(13076,plain, % 166.73/166.43 (P1(f329(f62(x130761),f191(f918(x130761,a905))))), % 166.73/166.43 inference(rename_variables,[],[3500])). % 166.73/166.43 cnf(13079,plain, % 166.73/166.43 (E(f329(f329(f23(f918(x130791,a905)),f191(f918(x130791,a905))),x130792),f191(f918(x130791,a905)))), % 166.73/166.43 inference(rename_variables,[],[3690])). % 166.73/166.43 cnf(13080,plain, % 166.73/166.43 (P1(f329(f62(x130801),f191(f918(x130801,a905))))), % 166.73/166.43 inference(rename_variables,[],[3500])). % 166.73/166.43 cnf(13083,plain, % 166.73/166.43 (E(f329(f329(f23(f918(x130831,a905)),f191(f918(x130831,a905))),x130832),f191(f918(x130831,a905)))), % 166.73/166.43 inference(rename_variables,[],[3690])). % 166.73/166.43 cnf(13084,plain, % 166.73/166.43 (P1(f329(f62(x130841),f191(f918(x130841,a905))))), % 166.73/166.43 inference(rename_variables,[],[3500])). % 166.73/166.43 cnf(13087,plain, % 166.73/166.43 (E(f329(f329(f23(f918(x130871,a905)),f191(f918(x130871,a905))),x130872),f191(f918(x130871,a905)))), % 166.73/166.43 inference(rename_variables,[],[3690])). % 166.73/166.43 cnf(13088,plain, % 166.73/166.43 (P1(f329(f62(x130881),f191(f918(x130881,a905))))), % 166.73/166.43 inference(rename_variables,[],[3500])). % 166.73/166.43 cnf(13092,plain, % 166.73/166.43 (E(f329(f287(x130921,x130921),f268(x130921,x130922)),x130922)), % 166.73/166.43 inference(rename_variables,[],[3384])). % 166.73/166.43 cnf(13097,plain, % 166.73/166.43 (E(f329(f329(f23(f918(x130971,a905)),f191(f918(x130971,a905))),x130972),f191(f918(x130971,a905)))), % 166.73/166.43 inference(rename_variables,[],[3690])). % 166.73/166.43 cnf(13098,plain, % 166.73/166.43 (P1(f329(f62(x130981),f191(f918(x130981,a905))))), % 166.73/166.43 inference(rename_variables,[],[3500])). % 166.73/166.43 cnf(13102,plain, % 166.73/166.43 (P1(f329(f62(x131021),f191(f918(x131021,a905))))), % 166.73/166.43 inference(rename_variables,[],[3500])). % 166.73/166.43 cnf(13105,plain, % 166.73/166.43 (P1(f329(f329(f239(a910),x131051),x131051))), % 166.73/166.43 inference(rename_variables,[],[3425])). % 166.73/166.43 cnf(13109,plain, % 166.73/166.43 (P1(f329(f329(f239(a1),x131091),x131091))), % 166.73/166.43 inference(rename_variables,[],[3426])). % 166.73/166.43 cnf(13122,plain, % 166.73/166.43 (P1(f329(f329(f239(a910),x131221),x131221))), % 166.73/166.43 inference(rename_variables,[],[3425])). % 166.73/166.43 cnf(13129,plain, % 166.73/166.43 (P1(f329(f329(f239(a910),x131291),x131291))), % 166.73/166.43 inference(rename_variables,[],[3425])). % 166.73/166.43 cnf(13132,plain, % 166.73/166.43 (P1(f329(f329(f239(a1),x131321),x131321))), % 166.73/166.43 inference(rename_variables,[],[3426])). % 166.73/166.43 cnf(13139,plain, % 166.73/166.43 (~P1(f329(f329(f331(x131391),x131392),f191(f918(x131391,a905))))), % 166.73/166.43 inference(rename_variables,[],[4652])). % 166.73/166.43 cnf(13150,plain, % 166.73/166.43 (P1(f329(f329(f331(x131501),x131502),f247(f918(x131501,a905))))), % 166.73/166.43 inference(rename_variables,[],[3577])). % 166.73/166.43 cnf(13151,plain, % 166.73/166.43 (E(f329(f195(x131511,x131512),x131513),f125(x131511,x131512))), % 166.73/166.44 inference(rename_variables,[],[3338])). % 166.73/166.44 cnf(13157,plain, % 166.73/166.44 (P1(f329(f329(f239(f918(x131571,a905)),x131572),f247(f918(x131571,a905))))), % 166.73/166.44 inference(rename_variables,[],[3805])). % 166.73/166.44 cnf(13160,plain, % 166.73/166.44 (P1(f329(f329(f239(f918(x131601,a905)),x131602),x131602))), % 166.73/166.44 inference(rename_variables,[],[3719])). % 166.73/166.44 cnf(13166,plain, % 166.73/166.44 (~P1(f329(f329(f240(a910),x131661),f2(a910)))), % 166.73/166.44 inference(rename_variables,[],[4643])). % 166.73/166.44 cnf(13167,plain, % 166.73/166.44 (P1(f329(f329(f239(a1),x131671),x131671))), % 166.73/166.44 inference(rename_variables,[],[3426])). % 166.73/166.44 cnf(13171,plain, % 166.73/166.44 (~P1(f329(f329(f240(a910),x131711),f2(a910)))), % 166.73/166.44 inference(rename_variables,[],[4643])). % 166.73/166.44 cnf(13172,plain, % 166.73/166.44 (P1(f329(f329(f239(a1),x131721),x131721))), % 166.73/166.44 inference(rename_variables,[],[3426])). % 166.73/166.44 cnf(13177,plain, % 166.73/166.44 (P1(f329(f329(f239(a910),x131771),x131771))), % 166.73/166.44 inference(rename_variables,[],[3425])). % 166.73/166.44 cnf(13184,plain, % 166.73/166.44 (E(f329(f329(f16(x131841,x131842),x131843),x131844),x131843)), % 166.73/166.44 inference(rename_variables,[],[3414])). % 166.73/166.44 cnf(13187,plain, % 166.73/166.44 (P1(f329(f329(f239(f918(x131871,a905)),f329(f175(x131871),f179(x131871,x131872,x131873))),f329(f175(x131871),x131872)))), % 166.73/166.44 inference(rename_variables,[],[4116])). % 166.73/166.44 cnf(13191,plain, % 166.73/166.44 (~P1(f329(f329(f240(a910),x131911),f2(a910)))), % 166.73/166.44 inference(rename_variables,[],[4643])). % 166.73/166.44 cnf(13192,plain, % 166.73/166.44 (P1(f329(f329(f239(a1),x131921),x131921))), % 166.73/166.44 inference(rename_variables,[],[3426])). % 166.73/166.44 cnf(13196,plain, % 166.73/166.44 (~P1(f329(f329(f240(a910),x131961),f2(a910)))), % 166.73/166.44 inference(rename_variables,[],[4643])). % 166.73/166.44 cnf(13197,plain, % 166.73/166.44 (P1(f329(f329(f239(a1),x131971),x131971))), % 166.73/166.44 inference(rename_variables,[],[3426])). % 166.73/166.44 cnf(13201,plain, % 166.73/166.44 (~P1(f329(f329(f239(f918(a910,a905)),f305(a910,f329(a117,x132011),f329(a117,x132011))),f305(a910,x132012,x132011)))), % 166.73/166.44 inference(scs_inference,[],[4557,4082,12647,12855,12857,12859,3637,12287,12309,12798,12800,3661,11270,12324,12424,12427,12522,12557,12561,12569,12641,12783,3669,12391,12863,12865,3678,3393,12764,12766,12768,3394,12824,3360,12721,4613,4614,11908,4357,12883,3397,12845,3234,3291,12772,3292,12849,3293,3294,3295,12597,12871,4612,3721,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,11471,11554,11561,11575,11621,11624,11646,11663,11678,11741,11798,11814,12102,12127,12142,12171,12177,12269,12387,12550,12611,4592,10608,10707,11158,3480,3443,12804,3627,3344,4589,11082,4601,3031,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3090,3093,3100,3101,3102,3103,3107,3113,3115,3116,3120,3123,3126,3149,3150,3151,3164,3174,3175,3179,3188,3196,3197,3198,3204,3315,4574,3216,3290,4575,3759,3988,11845,3268,11551,3405,3381,3384,10454,10457,10550,10553,10858,11566,11569,11689,11728,11733,11840,11880,12290,12498,12700,12755,12757,12759,12781,12820,12822,12830,12838,12840,12893,3355,12582,12586,12590,3361,3370,3882,4186,3338,13151,3491,12644,12724,3258,3621,3974,11597,3479,12776,3323,3254,3282,3798,12876,3278,4091,3982,3803,4560,3265,3244,3894,3301,3481,11013,11138,12388,12601,3354,4056,4603,10445,10605,11468,11649,12546,12583,12587,4610,12554,3414,11927,11930,4015,4650,11184,11275,11512,11515,3822,12788,3528,3746,4628,3495,12843,3318,10515,10834,3319,3581,3311,3235,3340,11587,4200,12572,12712,4058,11204,11329,11399,12530,12536,12661,12664,12690,4668,11116,11342,11462,11485,11520,11526,12477,4669,11237,11345,11465,11523,4670,11348,4671,11417,4672,3339,3619,12430,12474,12553,3786,3570,4471,4472,3642,4600,11580,3763,3723,3765,3939,3690,13075,13079,13083,13087,13097,3984,12421,3605,3865,3492,10534,10647,10724,10794,10797,10837,10936,11174,11775,12098,12164,12240,12278,12365,12368,12694,12960,12999,13002,13058,3875,11831,3407,3504,11662,3684,4643,10422,10425,10451,10944,10957,11071,11504,11590,11774,11991,11996,12216,12219,12302,12480,12576,12906,12925,12928,12952,13003,13166,13171,13191,4656,11705,11736,11771,11778,11811,13012,13016,3862,3628,3629,12931,12934,12937,12940,12970,4007,3452,3453,3427,4640,3317,4597,3813,4122,3612,4657,4193,11482,3745,3464,11948,11951,12395,12502,12671,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,11379,11656,11750,11899,12009,12012,4162,4121,12091,12445,4067,11010,12272,12455,4116,11207,12318,12394,12454,12501,3787,11782,12101,12247,12329,12378,4150,3805,11210,11280,11371,11436,12268,12346,12606,12687,12697,4660,10960,11353,3424,10543,10634,10780,10844,11681,11902,11945,11976,12071,12126,12321,12339,12461,3425,10916,10963,10966,10997,11019,11055,11096,11132,12145,12148,12151,12154,12353,12356,12359,12362,12438,12617,12667,12953,12976,13050,13061,13066,13069,13072,13105,13122,13129,13177,3426,10621,10849,10939,11058,11979,11988,12077,12088,12107,12112,12157,12180,12197,12967,13109,13132,13167,13172,13192,3500,12305,13032,13076,13080,13084,13088,13098,13102,4639,10462,10491,10981,11022,11031,11859,11883,12045,12048,12051,12054,12141,12160,12163,12176,12228,12231,12234,12237,12406,12409,12508,12511,12610,12650,12733,3577,10712,10800,11066,11113,11332,11335,11425,11501,11666,12130,12549,12736,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,11479,11495,11498,11529,11534,11537,11781,11924,11957,12222,12225,12259,12306,12342,12486,12527,12533,12629,12632,12654,12711,12727,12747,13031,13044,13047,3485,10831,10861,10870,10873,11454,12651,12668,13013,13017,13020,3524,3517,3943,3880,10494,11834,11862,12994,4649,10442,10819,10822,11297,11313,11797,11850,11887,12006,12033,12036,12039,12042,12301,3445,10864,11016,11089,11863,12005,12202,12414,12439,3904,11954,12947,4241,3634,4646,3915,3950,4631,4634,4635,3400,3404,4633,4632,3735,11827,11911,4335,11688,4662,10733,10736,4667,11193,11196,11387,11509,11543,4025,11540,11886,11890,12560,12568,3870,11129,11135,11151,12123,12252,12345,12625,3719,11263,11390,12371,12483,12493,12565,12620,12628,12744,4198,3872,10867,11226,11396,11430,11441,12564,3687,10783,10786,10876,11042,3686,4665,11828,4661,12915,4666,10627,10739,11374,12433,12442,12489,12681,12684,4296,11003,12451,12469,4204,3903,12750,3848,3849,4663,10467,10470,10825,10828,11702,11891,12693,4664,11808,11896,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,58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8650])). % 166.73/166.44 cnf(13202,plain, % 166.73/166.44 (P1(f329(f329(f239(a910),x132021),x132021))), % 166.73/166.44 inference(rename_variables,[],[3425])). % 166.73/166.44 cnf(13204,plain, % 166.73/166.44 (~P1(f329(f329(f240(f918(a910,a905)),f305(a910,f329(a117,x132041),f329(a117,x132041))),f305(a910,x132042,x132041)))), % 166.73/166.44 inference(scs_inference,[],[4557,4082,12647,12855,12857,12859,3637,12287,12309,12798,12800,3661,11270,12324,12424,12427,12522,12557,12561,12569,12641,12783,3669,12391,12863,12865,3678,3393,12764,12766,12768,3394,12824,3360,12721,4613,4614,11908,4357,12883,3397,12845,3234,3291,12772,3292,12849,3293,3294,3295,12597,12871,4612,3721,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,11471,11554,11561,11575,11621,11624,11646,11663,11678,11741,11798,11814,12102,12127,12142,12171,12177,12269,12387,12550,12611,4592,10608,10707,11158,3480,3443,12804,3627,3344,4589,11082,4601,3031,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3090,3093,3100,3101,3102,3103,3107,3113,3115,3116,3120,3123,3126,3149,3150,3151,3164,3174,3175,3179,3188,3196,3197,3198,3204,3315,4574,3216,3290,4575,3759,3988,11845,3268,11551,3405,3381,3384,10454,10457,10550,10553,10858,11566,11569,11689,11728,11733,11840,11880,12290,12498,12700,12755,12757,12759,12781,12820,12822,12830,12838,12840,12893,3355,12582,12586,12590,3361,3370,3882,4186,3338,13151,3491,12644,12724,3258,3621,3974,11597,3479,12776,3323,3254,3282,3798,12876,3278,4091,3982,3803,4560,3265,3244,3894,3301,3481,11013,11138,12388,12601,3354,4056,4603,10445,10605,11468,11649,12546,12583,12587,4610,12554,3414,11927,11930,4015,4650,11184,11275,11512,11515,3822,12788,3528,3746,4628,3495,12843,3318,10515,10834,3319,3581,3311,3235,3340,11587,4200,12572,12712,4058,11204,11329,11399,12530,12536,12661,12664,12690,4668,11116,11342,11462,11485,11520,11526,12477,4669,11237,11345,11465,11523,4670,11348,4671,11417,4672,3339,3619,12430,12474,12553,3786,3570,4471,4472,3642,4600,11580,3763,3723,3765,3939,3690,13075,13079,13083,13087,13097,3984,12421,3605,3865,3492,10534,10647,10724,10794,10797,10837,10936,11174,11775,12098,12164,12240,12278,12365,12368,12694,12960,12999,13002,13058,3875,11831,3407,3504,11662,3684,4643,10422,10425,10451,10944,10957,11071,11504,11590,11774,11991,11996,12216,12219,12302,12480,12576,12906,12925,12928,12952,13003,13166,13171,13191,4656,11705,11736,11771,11778,11811,13012,13016,3862,3628,3629,12931,12934,12937,12940,12970,4007,3452,3453,3427,4640,3317,4597,3813,4122,3612,4657,4193,11482,3745,3464,11948,11951,12395,12502,12671,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,11379,11656,11750,11899,12009,12012,4162,4121,12091,12445,4067,11010,12272,12455,4116,11207,12318,12394,12454,12501,3787,11782,12101,12247,12329,12378,4150,3805,11210,11280,11371,11436,12268,12346,12606,12687,12697,4660,10960,11353,3424,10543,10634,10780,10844,11681,11902,11945,11976,12071,12126,12321,12339,12461,3425,10916,10963,10966,10997,11019,11055,11096,11132,12145,12148,12151,12154,12353,12356,12359,12362,12438,12617,12667,12953,12976,13050,13061,13066,13069,13072,13105,13122,13129,13177,13202,3426,10621,10849,10939,11058,11979,11988,12077,12088,12107,12112,12157,12180,12197,12967,13109,13132,13167,13172,13192,3500,12305,13032,13076,13080,13084,13088,13098,13102,4639,10462,10491,10981,11022,11031,11859,11883,12045,12048,12051,12054,12141,12160,12163,12176,12228,12231,12234,12237,12406,12409,12508,12511,12610,12650,12733,3577,10712,10800,11066,11113,11332,11335,11425,11501,11666,12130,12549,12736,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,11479,11495,11498,11529,11534,11537,11781,11924,11957,12222,12225,12259,12306,12342,12486,12527,12533,12629,12632,12654,12711,12727,12747,13031,13044,13047,3485,10831,10861,10870,10873,11454,12651,12668,13013,13017,13020,3524,3517,3943,3880,10494,11834,11862,12994,4649,10442,10819,10822,11297,11313,11797,11850,11887,12006,12033,12036,12039,12042,12301,3445,10864,11016,11089,11863,12005,12202,12414,12439,3904,11954,12947,4241,3634,4646,3915,3950,4631,4634,4635,3400,3404,4633,4632,3735,11827,11911,4335,11688,4662,10733,10736,4667,11193,11196,11387,11509,11543,4025,11540,11886,11890,12560,12568,3870,11129,11135,11151,12123,12252,12345,12625,3719,11263,11390,12371,12483,12493,12565,12620,12628,12744,4198,3872,10867,11226,11396,11430,11441,12564,3687,10783,10786,10876,11042,3686,4665,11828,4661,12915,4666,10627,10739,11374,12433,12442,12489,12681,12684,4296,11003,12451,12469,4204,3903,12750,3848,3849,4663,10467,10470,10825,10828,11702,11891,12693,4664,11808,11896,3873,10789,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7457,7468,7469,7470,7486,7490,7492,7541,7551,7557,7572,7621,7623,7626,7667,7668,7686,7748,7755,7773,7797,7820,7832,7847,7858,7869,7870,7898,7900,7902,7911,7953,7965,7990,8050,8082,8117,8164,8180,8182,8197,8198,8273,8341,8365,8384,8411,8412,8509,8511,8513,8519,8536,8540,8555,8579,8590,8592,8605,8610,8614,8615,8616,8617,8618,8619,8643,8657,8658,8675,8676,8681,8682,8683,8684,8685,8703,8704,8705,8714,8727,8730,8741,8745,8747,8748,8749,8750,8757,8762,8770,8773,8790,8791,8822,8835,8839,8857,8878,8879,8880,8881,8896,8897,8920,8929,8939,8940,8941,8944,8965,8966,8977,9028,9034,9040,9042,9060,9063,9073,9074,9075,9085,9152,9183,9184,9185,9199,9216,9224,9225,9253,9254,9255,9256,9257,9259,9307,9333,9368,9378,9379,9380,9390,9417,9433,9437,9440,9463,9464,9491,9553,9558,9561,9594,9595,9596,9621,9622,9638,9658,9664,9676,9701,9722,9731,9732,9733,9734,9751,9753,9758,9788,9789,9795,9796,9841,9842,9852,9876,9895,9897,9898,9907,9919,9944,9977,9979,9983,10031,10072,10073,10075,10084,10085,10105,10110,10201,10287,10288,10352,10368,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7240,7250,7254,7261,7272,7277,7279,7286,7295,7308,7325,7346,7348,7365,7370,7423,7424,7425,7427,7430,7434,7440,7442,7505,7524,7537,7554,7555,7571,7603,7606,7613,7629,7651,7669,7672,7673,7683,7703,7705,7707,7709,7710,7711,7736,7763,7764,7796,7798,7799,7800,7805,7826,7844,7849,7855,7857,7865,7877,7878,7880,7903,7909,7936,8003,8004,8005,8053,8060,8061,8084,8085,8104,8105,8106,8171,8172,8200,8201,8233,8243,8254,8265,8296,8300,8306,8318,8336,8342,8364,8409,8441,8453,8472,8475,8502,8527,8593,8594,8597,8598,8707,8708,8709,8710,8736,8765,8794,8838,8856,8898,8914,8958,8961,8974,8981,9025,9069,9070,9087,9088,9101,9221,9227,9231,9251,9269,9294,9296,9299,9305,9308,9309,9319,9320,9340,9346,9355,9362,9403,9421,9441,9476,9477,9483,9544,9550,9590,9600,9603,9604,9606,9607,9620,9643,9657,9666,9667,9669,9671,9700,9822,9823,9871,9872,9912,9950,10058,10114,10177,10263,10279,10284,3,2755,2761,2766,2767,2768,2769,2775,2776,2777,2779,2785,2786,2788,2789,2790,2791,2793,2794,2795,2796,2799,2800,2804,2805,2806,2808,2809,2811,2816,2817,2819,2820,2821,2823,2824,2825,2831,2834,2835,2836,2845,2856,2857,2858,2860,2863,2864,2866,2867,2871,2876,2879,2882,2884,2888,2890,2891,2892,2893,2895,2896,2898,2899,2900,2902,2903,2924,2926,2932,2933,2942,2943,2944,2955,2962,2965,2966,2967,2971,2972,2973,3014,3016,5394,5433,5577,5578,5579,5660,5760,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6128,6138,6163,6198,6235,6382,6387,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6707,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7151,7152,7190,7234,7235,7332,7403,7404,7405,7406,7421,7458,7510,7511,7520,7528,7529,7540,7574,7575,7576,7577,7717,7718,7720,7722,7728,7729,7944,7950,7951,7962,8000,8001,8080,8125,8184,8206,8207,8281,8377,8451,8452,8454,8487,8551,8552,8628,8650,8651])). % 166.73/166.44 cnf(13205,plain, % 166.73/166.44 (P1(f329(f329(f239(a910),x132051),x132051))), % 166.73/166.44 inference(rename_variables,[],[3425])). % 166.73/166.44 cnf(13208,plain, % 166.73/166.44 (~P1(f329(f329(f239(a910),f329(a117,x132081)),x132081))), % 166.73/166.44 inference(rename_variables,[],[4649])). % 166.73/166.44 cnf(13214,plain, % 166.73/166.44 (P1(f329(f329(f331(x132141),f329(x132142,x132143)),f329(f312(x132144,x132141,x132142),f247(f918(x132144,a905)))))), % 166.73/166.44 inference(rename_variables,[],[4025])). % 166.73/166.44 cnf(13215,plain, % 166.73/166.44 (P30(x132151,x132151,f5(x132151),x132152)), % 166.73/166.44 inference(rename_variables,[],[3661])). % 166.73/166.44 cnf(13219,plain, % 166.73/166.44 (P1(f329(f329(f331(x132191),x132192),f247(f918(x132191,a905))))), % 166.73/166.44 inference(rename_variables,[],[3577])). % 166.73/166.44 cnf(13220,plain, % 166.73/166.44 (~P1(f329(f329(f331(x132201),x132202),f191(f918(x132201,a905))))), % 166.73/166.44 inference(rename_variables,[],[4652])). % 166.73/166.44 cnf(13224,plain, % 166.73/166.44 (P1(f329(f329(f239(f918(x132241,a905)),x132242),f247(f918(x132241,a905))))), % 166.73/166.44 inference(rename_variables,[],[3805])). % 166.73/166.44 cnf(13225,plain, % 166.73/166.44 (P30(x132251,x132251,f5(x132251),x132252)), % 166.73/166.44 inference(rename_variables,[],[3661])). % 166.73/166.44 cnf(13229,plain, % 166.73/166.44 (P1(f329(f329(f239(f918(x132291,a905)),x132292),f247(f918(x132291,a905))))), % 166.73/166.44 inference(rename_variables,[],[3805])). % 166.73/166.44 cnf(13230,plain, % 166.73/166.44 (P30(x132301,x132301,f5(x132301),x132302)), % 166.73/166.44 inference(rename_variables,[],[3661])). % 166.73/166.44 cnf(13234,plain, % 166.73/166.44 (P30(x132341,x132341,f5(x132341),x132342)), % 166.73/166.44 inference(rename_variables,[],[3661])). % 166.73/166.44 cnf(13237,plain, % 166.73/166.44 (~P1(f329(f329(f240(f918(x132371,a905)),x132372),f191(f918(x132371,a905))))), % 166.73/166.44 inference(rename_variables,[],[4660])). % 166.73/166.44 cnf(13240,plain, % 166.73/166.44 (P30(x132401,x132401,f5(x132401),x132402)), % 166.73/166.44 inference(rename_variables,[],[3661])). % 166.73/166.44 cnf(13243,plain, % 166.73/166.44 (P30(x132431,x132431,f5(x132431),x132432)), % 166.73/166.44 inference(rename_variables,[],[3661])). % 166.73/166.44 cnf(13246,plain, % 166.73/166.44 (P1(f329(f329(f331(x132461),f329(x132462,x132463)),f329(f312(x132464,x132461,x132462),f247(f918(x132464,a905)))))), % 166.73/166.44 inference(rename_variables,[],[4025])). % 166.73/166.44 cnf(13257,plain, % 166.73/166.44 (P1(f329(f329(f239(f918(x132571,a905)),f191(f918(x132571,a905))),x132572))), % 166.73/166.44 inference(rename_variables,[],[3872])). % 166.73/166.44 cnf(13261,plain, % 166.73/166.44 (E(f329(f287(x132611,x132611),f268(x132611,x132612)),x132612)), % 166.73/166.44 inference(rename_variables,[],[3384])). % 166.73/166.44 cnf(13265,plain, % 166.73/166.44 (~P1(f329(f329(f331(x132651),x132652),f191(f918(x132651,a905))))), % 166.73/166.44 inference(rename_variables,[],[4652])). % 166.73/166.44 cnf(13270,plain, % 166.73/166.44 (P30(x132701,x132701,f5(x132701),x132702)), % 166.73/166.44 inference(rename_variables,[],[3661])). % 166.73/166.44 cnf(13280,plain, % 166.73/166.44 (~P1(f329(f329(f331(x132801),x132802),f191(f918(x132801,a905))))), % 166.73/166.44 inference(rename_variables,[],[4652])). % 166.73/166.44 cnf(13283,plain, % 166.73/166.44 (~P1(f329(f329(f331(x132831),x132832),f191(f918(x132831,a905))))), % 166.73/166.44 inference(rename_variables,[],[4652])). % 166.73/166.44 cnf(13286,plain, % 166.73/166.44 (P1(f329(f329(f240(a910),x132861),f329(a117,x132861)))), % 166.73/166.44 inference(rename_variables,[],[3492])). % 166.73/166.44 cnf(13287,plain, % 166.73/166.44 (~E(f329(a117,x132871),x132871)), % 166.73/166.44 inference(rename_variables,[],[4579])). % 166.73/166.44 cnf(13290,plain, % 166.73/166.44 (P1(f329(f329(f240(a910),x132901),f329(a117,f329(f329(f82(a910),x132902),x132901))))), % 166.73/166.44 inference(rename_variables,[],[3873])). % 166.73/166.44 cnf(13291,plain, % 166.73/166.44 (P1(f329(f329(f240(a910),x132911),f329(a117,x132911)))), % 166.73/166.44 inference(rename_variables,[],[3492])). % 166.73/166.44 cnf(13293,plain, % 166.73/166.44 (~E(f329(f329(f83(a910),f329(a117,f2(a910))),f124(x132931)),f329(f329(f83(a910),f329(a117,f2(a910))),f130(x132931,x132932,x132933)))), % 166.73/166.44 inference(scs_inference,[],[4557,4082,12647,12855,12857,12859,3637,12287,12309,12798,12800,3661,11270,12324,12424,12427,12522,12557,12561,12569,12641,12783,12785,13215,13225,13230,13234,13240,13243,3669,12391,12863,12865,3678,3393,12764,12766,12768,3394,12824,3360,12721,4613,4614,11908,4357,12883,3397,12845,3234,3291,12772,3292,12849,3293,3294,3295,12597,12871,4612,3721,4579,10382,10392,10405,10416,10419,10523,10526,10529,10624,10755,11061,11248,11251,11471,11554,11561,11575,11621,11624,11646,11663,11678,11741,11798,11814,12102,12127,12142,12171,12177,12269,12387,12550,12611,12753,13287,4592,10608,10707,11158,3480,3443,12804,3627,3344,4589,11082,4601,3031,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3090,3093,3100,3101,3102,3103,3107,3113,3115,3116,3120,3123,3126,3149,3150,3151,3164,3174,3175,3179,3188,3196,3197,3198,3204,3315,4574,3216,3290,4575,3759,3988,11845,3268,11551,3405,3381,3384,10454,10457,10550,10553,10858,11566,11569,11689,11728,11733,11840,11880,12290,12498,12700,12755,12757,12759,12781,12820,12822,12830,12838,12840,12893,13092,3355,12582,12586,12590,3361,3370,3882,4186,3338,13151,3491,12644,12724,3257,3258,3621,3974,11597,3479,12776,3323,3254,3282,3798,12876,3278,4091,3982,3302,3803,4560,3265,3244,3894,3301,3481,11013,11138,12388,12601,3354,4056,4603,10445,10605,11468,11649,12546,12583,12587,4610,12554,3414,11927,11930,4015,4650,11184,11275,11512,11515,3822,12788,3409,3528,3746,4628,3495,12843,3318,10515,10834,3319,4637,3581,3311,3235,3340,11587,4200,12572,12712,4058,11204,11329,11399,12530,12536,12661,12664,12690,4668,11116,11342,11462,11485,11520,11526,12477,4669,11237,11345,11465,11523,4670,11348,11410,4671,11417,4672,3339,3619,12430,12474,12553,3786,3570,4471,4472,3642,4600,11580,3763,3723,3765,3939,3690,13075,13079,13083,13087,13097,3984,12421,3605,3865,3492,10534,10647,10724,10794,10797,10837,10936,11174,11775,12098,12164,12240,12278,12365,12368,12694,12960,12999,13002,13058,13286,3875,11831,3407,3504,11662,3684,4643,10422,10425,10451,10944,10957,11071,11504,11590,11774,11991,11996,12216,12219,12302,12480,12576,12906,12925,12928,12952,13003,13166,13171,13191,4656,11705,11736,11771,11778,11811,13012,13016,3862,3628,3629,12931,12934,12937,12940,12970,4007,3452,3453,3427,4640,3317,4597,3813,4122,3612,4657,4193,11482,3745,3464,11948,11951,12395,12502,12671,4648,10410,10413,10576,10668,10687,10694,10719,10727,10730,10744,10927,11161,11379,11656,11750,11899,12009,12012,4162,4121,12091,12445,4067,11010,12272,12455,4116,11207,12318,12394,12454,12501,3787,11782,12101,12247,12329,12378,4150,3805,11210,11280,11371,11436,12268,12346,12606,12687,12697,13157,13224,13229,4660,10960,11353,12458,13237,3424,10543,10634,10780,10844,11681,11902,11945,11976,12071,12126,12321,12339,12461,3425,10916,10963,10966,10997,11019,11055,11096,11132,12145,12148,12151,12154,12353,12356,12359,12362,12438,12617,12667,12953,12976,13050,13061,13066,13069,13072,13105,13122,13129,13177,13202,13205,3426,10621,10849,10939,11058,11979,11988,12077,12088,12107,12112,12157,12180,12197,12967,13109,13132,13167,13172,13192,3500,12305,13032,13076,13080,13084,13088,13098,13102,4639,10462,10491,10981,11022,11031,11859,11883,12045,12048,12051,12054,12141,12160,12163,12176,12228,12231,12234,12237,12406,12409,12508,12511,12610,12650,12733,3577,10712,10800,11066,11113,11332,11335,11425,11501,11666,12130,12549,12736,13150,13219,4652,10990,11000,11105,11123,11126,11187,11190,11201,11294,11302,11316,11356,11384,11393,11433,11474,11479,11495,11498,11529,11534,11537,11781,11924,11957,12222,12225,12259,12306,12342,12486,12527,12533,12629,12632,12654,12711,12727,12747,13031,13044,13047,13139,13220,13265,13280,3485,10831,10861,10870,10873,11454,12651,12668,13013,13017,13020,3524,3517,3943,3880,10494,11834,11862,12994,4649,10442,10819,10822,11297,11313,11797,11850,11887,12006,12033,12036,12039,12042,12301,13208,3445,10864,11016,11089,11863,12005,12202,12414,12439,3904,11954,12947,4241,3634,4646,3915,3950,4631,4634,4635,3400,3404,4633,4632,3735,11827,11911,12334,4335,11688,4662,10733,10736,4667,11193,11196,11387,11509,11543,4025,11540,11886,11890,12560,12568,12660,13214,13246,3870,11129,11135,11151,12123,12252,12345,12625,3719,11263,11390,12371,12483,12493,12565,12620,12628,12744,4198,4044,3872,10867,11226,11396,11430,11441,12564,12614,3687,10783,10786,10876,11042,3686,4665,11828,4661,12915,4666,10627,10739,11374,12433,12442,12489,12681,12684,4296,11003,12451,12469,12492,4204,3903,12750,3848,3849,4663,10467,10470,10825,10828,11702,11891,12693,4664,11808,11896,3873,10789,11048,4136,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570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34,7235,7332,7403,7404,7405,7406,7421,7458,7510,7511,7520,7528,7529,7540,7574,7575,7576,7577,7717,7718,7720,7722,7728,7729,7944,7950,7951,7962,8000,8001,8080,8125,8184,8206,8207,8281,8377,8451,8452,8454,8487,8551,8552,8628,8650,8651,8652,8653,8797,9018,9044,9045,9116,9131,9186,9187,9314,9316,9349,9373,9404,9446,9641,9908,10083,10139,10141,6531,6532,6621])). % 166.73/166.44 cnf(13300,plain, % 166.73/166.44 (P1(f329(f329(f239(a1),f2(a1)),f329(f105(a1),x133001)))), % 166.73/166.44 inference(rename_variables,[],[3524])). % 166.73/166.44 cnf(13305,plain, % 166.73/166.44 (P1(f329(f329(f239(a910),f2(a910)),x133051))), % 166.73/166.44 inference(rename_variables,[],[3445])). % 166.73/166.44 cnf(13309,plain, % 166.73/166.44 (~E(f329(a117,x133091),f2(a910))), % 166.73/166.44 inference(rename_variables,[],[4589])). % 166.73/166.44 cnf(13312,plain, % 166.73/166.44 (P1(f329(f329(f239(a1),x133121),x133121))), % 166.73/166.44 inference(rename_variables,[],[3426])). % 166.73/166.44 cnf(13318,plain, % 166.75/166.44 (~P1(f329(f329(f331(x133181),x133182),f191(f918(x133181,a905))))), % 166.75/166.44 inference(rename_variables,[],[4652])). % 166.75/166.44 cnf(13321,plain, % 166.75/166.44 (P1(f329(f62(a910),f307(a910,x133211,x133212)))), % 166.75/166.44 inference(rename_variables,[],[3629])). % 166.75/166.44 cnf(13322,plain, % 166.75/166.44 (E(f329(f329(f238(a910),f329(a117,x133221)),f329(a117,x133222)),f329(a117,f329(f329(f238(a910),x133221),x133222)))), % 166.75/166.44 inference(rename_variables,[],[3594])). % 166.75/166.44 cnf(13325,plain, % 166.75/166.44 (P1(f329(f62(a910),f307(a910,x133251,x133252)))), % 166.75/166.44 inference(rename_variables,[],[3629])). % 166.75/166.44 cnf(13326,plain, % 166.75/166.44 (E(f329(f329(f237(a910),f329(a117,x133261)),f329(a117,x133262)),f329(a117,f329(f329(f237(a910),x133261),x133262)))), % 166.75/166.44 inference(rename_variables,[],[3593])). % 166.75/166.44 cnf(13329,plain, % 166.75/166.44 (P1(f329(f62(a910),f307(a910,x133291,x133292)))), % 166.75/166.44 inference(rename_variables,[],[3629])). % 166.75/166.44 cnf(13338,plain, % 166.75/166.44 (~P1(f329(f329(f331(x133381),x133382),f191(f918(x133381,a905))))), % 166.75/166.44 inference(rename_variables,[],[4652])). % 166.75/166.44 cnf(13339,plain, % 166.75/166.44 (E(f329(f329(f16(x133391,x133392),x133393),x133394),x133393)), % 166.75/166.44 inference(rename_variables,[],[3414])). % 166.75/166.44 cnf(13342,plain, % 166.75/166.44 (P1(f329(f329(f239(f918(x133421,a905)),f329(f175(x133421),f329(f139(x133421,x133422),x133423))),f329(f175(x133421),x133423)))), % 166.75/166.44 inference(rename_variables,[],[4067])). % 166.75/166.44 cnf(13343,plain, % 166.75/166.44 (E(f329(f329(f16(x133431,x133432),x133433),x133434),x133433)), % 166.75/166.44 inference(rename_variables,[],[3414])). % 166.75/166.44 cnf(13346,plain, % 166.75/166.44 (P1(f329(f329(f239(f918(x133461,a905)),f329(f175(x133461),f329(f329(f178(x133461),x133462),x133463))),f329(f175(x133461),x133463)))), % 166.75/166.44 inference(rename_variables,[],[4111])). % 166.75/166.44 cnf(13347,plain, % 166.75/166.44 (E(f329(f329(f16(x133471,x133472),x133473),x133474),x133473)), % 166.75/166.44 inference(rename_variables,[],[3414])). % 166.75/166.44 cnf(13351,plain, % 166.75/166.44 (E(f329(f329(f16(x133511,x133512),x133513),x133514),x133513)), % 166.75/166.44 inference(rename_variables,[],[3414])). % 166.75/166.44 cnf(13364,plain, % 166.75/166.44 (P1(f329(f329(f239(a1),f2(a1)),f329(f105(a1),x133641)))), % 166.75/166.44 inference(rename_variables,[],[3524])). % 166.75/166.44 cnf(13367,plain, % 166.75/166.44 (~P1(f329(f329(f331(x133671),x133672),f191(f918(x133671,a905))))), % 166.75/166.44 inference(rename_variables,[],[4652])). % 166.75/166.44 cnf(13368,plain, % 166.75/166.44 (E(f329(f287(x133681,x133681),f268(x133681,x133682)),x133682)), % 166.75/166.44 inference(rename_variables,[],[3384])). % 166.75/166.44 cnf(13369,plain, % 166.75/166.44 (P30(x133691,x133691,f5(x133691),x133692)), % 166.75/166.44 inference(rename_variables,[],[3661])). % 166.75/166.44 cnf(13373,plain, % 166.75/166.44 (E(f329(f287(x133731,x133731),f268(x133731,x133732)),x133732)), % 166.75/166.44 inference(rename_variables,[],[3384])). % 166.75/166.44 cnf(13387,plain, % 166.75/166.44 (P1(f329(f329(f239(a910),f2(a910)),x133871))), % 166.75/166.44 inference(rename_variables,[],[3445])). % 166.75/166.44 cnf(13388,plain, % 166.75/166.44 (P1(f329(f329(f240(a910),f2(a910)),f329(a117,x133881)))), % 166.75/166.44 inference(rename_variables,[],[3504])). % 166.75/166.44 cnf(13389,plain, % 166.75/166.44 (E(f329(f287(x133891,x133891),f268(x133891,x133892)),x133892)), % 166.75/166.44 inference(rename_variables,[],[3384])). % 166.75/166.44 cnf(13470,plain, % 166.75/166.44 (P1(f329(f329(f240(a1),f2(a1)),f329(f77(a1),f80(a1))))), % 166.75/166.44 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% 166.75/166.44 cnf(13643,plain, % 166.75/166.44 (~P1(f329(f329(f331(x136431),x136432),f191(f918(x136431,a905))))), % 166.75/166.44 inference(rename_variables,[],[4652])). % 166.75/166.44 cnf(13656,plain, % 166.75/166.44 (~P1(f329(f329(f240(a910),x136561),x136561))), % 166.75/166.44 inference(rename_variables,[],[4639])). % 166.75/166.44 cnf(13659,plain, % 166.75/166.44 (~P1(f329(f329(f331(x136591),x136592),f191(f918(x136591,a905))))), % 166.75/166.44 inference(rename_variables,[],[4652])). % 166.75/166.44 cnf(13664,plain, % 166.75/166.44 (P1(f329(f329(f331(x136641),f329(x136642,x136643)),f329(f312(x136644,x136641,x136642),f247(f918(x136644,a905)))))), % 166.75/166.44 inference(rename_variables,[],[4025])). % 166.75/166.44 cnf(13672,plain, % 166.75/166.44 (~P1(f329(f329(f239(a910),f329(a117,x136721)),x136721))), % 166.75/166.44 inference(rename_variables,[],[4649])). % 166.75/166.44 cnf(13717,plain, % 166.75/166.44 (P1(f329(f329(f240(a910),x137171),f329(a117,f329(f329(f82(a910),x137172),x137171))))), % 166.75/166.44 inference(rename_variables,[],[3873])). % 166.75/166.44 cnf(13720,plain, % 166.75/166.44 (P1(f329(f329(f239(a910),x137201),f329(f329(f83(a910),x137201),x137201)))), % 166.75/166.44 inference(rename_variables,[],[3687])). % 166.75/166.44 cnf(13756,plain, % 166.75/166.44 (~E(f329(a117,x137561),f2(a910))), % 166.75/166.44 inference(rename_variables,[],[4589])). % 166.75/166.44 cnf(13767,plain, % 166.75/166.44 (~P1(f329(f329(f331(f917(x137671,x137671)),x137672),f268(x137671,f191(f918(x137671,a905)))))), % 166.75/166.44 inference(rename_variables,[],[11122])). % 166.75/166.44 cnf(13786,plain, % 166.75/166.44 (~P1(f329(f63(x137861,x137862,f191(f918(x137861,a905))),x137863))), % 166.75/166.44 inference(rename_variables,[],[4662])). % 166.75/166.44 cnf(13792,plain, % 166.75/166.44 (~P40(x137921,x137922,x137923,f329(f329(f157(x137924,x137921),x137925),f329(a117,f118(x137924))),f118(x137922))), % 166.75/166.44 inference(rename_variables,[],[11401])). % 166.75/166.44 cnf(13800,plain, % 166.75/166.44 (~P1(f329(f329(f240(a910),x138001),x138001))), % 166.75/166.44 inference(rename_variables,[],[4639])). % 166.75/166.44 cnf(13803,plain, % 166.75/166.44 (~P40(x138031,x138032,x138033,f329(f329(f157(x138034,x138031),x138035),f329(a117,f118(x138034))),f118(x138032))), % 166.75/166.44 inference(rename_variables,[],[11401])). % 166.75/166.44 cnf(13814,plain, % 166.75/166.44 (P1(f329(f329(f239(f918(x138141,a905)),f329(f175(x138141),f179(x138141,x138142,x138143))),f329(f175(x138141),x138142)))), % 166.75/166.44 inference(rename_variables,[],[4116])). % 166.75/166.44 cnf(13820,plain, % 166.75/166.44 (~P1(f329(f63(x138201,x138202,f191(f918(x138201,a905))),x138203))), % 166.75/166.44 inference(rename_variables,[],[4662])). % 166.75/166.44 cnf(13836,plain, % 166.75/166.44 (~E(f329(a117,x138361),f2(a910))), % 166.75/166.44 inference(rename_variables,[],[4589])). % 166.75/166.44 cnf(13839,plain, % 166.75/166.44 (~P1(f329(f329(f331(x138391),x138392),f191(f918(x138391,a905))))), % 166.75/166.44 inference(rename_variables,[],[4652])). % 166.75/166.44 cnf(13866,plain, % 166.75/166.44 (P1(f329(f329(f239(f918(x138661,a905)),f329(f175(x138661),f179(x138661,x138662,x138663))),f329(f175(x138661),x138662)))), % 166.75/166.44 inference(rename_variables,[],[4116])). % 166.75/166.44 cnf(13877,plain, % 166.75/166.44 (P1(f329(f329(f239(f918(x138771,a905)),f329(f175(x138771),f179(x138771,x138772,x138773))),f329(f175(x138771),x138772)))), % 166.75/166.44 inference(rename_variables,[],[4116])). % 166.75/166.44 cnf(13926,plain, % 166.75/166.44 (P1(f329(f329(f239(f918(x139261,a905)),f329(f175(x139261),f179(x139261,x139262,x139263))),f329(f175(x139261),x139262)))), % 166.75/166.44 inference(rename_variables,[],[4116])). % 166.75/166.44 cnf(13967,plain, % 166.75/166.44 ($false), % 166.75/166.44 inference(scs_inference,[],[4557,3862,4007,4200,3216,4665,3425,4640,4058,3500,4668,3517,3875,4025,13664,4652,13643,13659,13839,4116,13814,13866,13877,13926,4589,13756,13836,4603,4628,3504,4193,4067,3426,3880,3445,3870,3872,3687,13720,4296,3873,13717,3355,3379,4672,4639,13656,13800,4649,13672,4662,13786,13820,4663,4664,13293,10531,12030,12070,11531,13470,10716,10785,10773,11255,12678,10938,12735,11107,11395,11260,11517,11489,3456,11165,13201,13204,10885,11350,12482,12964,11973,11122,13767,11125,11443,12731,11378,12640,11401,13792,13803,11405,3094,3482,3975,2,6260,5448,8082,6375,8684,5555,6314,8411,9595,5854,5293,5697,5894,6923,9368,6817,7965,8757,8657,5877,7367,9458,5817,6845,7902,5458,5936,6185,6893,7443,9852,6480,9259,6697,5865,9722,5285,5355,5619,6078,6367,6886,9063,5322,7068,7870,7900,7292,9,5625,6137,6897,6846,9042,4817,9152,9594,8509,8018,6894,8616,9378,8579,4760,5798,6487,9040,5420,5863,5005,9417,9907,9731,5805,6015,8181,9596,5334,7512,5440,8658,6231,6054,7304,8704,9333,9733,6432,5972,5944,8857,6202,6255,4815,5144,5472,6675,8182,5795,5342,5529,6310,8790,6354,8745,9753,8965,10031,5163,6773,10105,10352,8741,6035,5021,5809,6300,8365,8682,5459,8676,7002,6258,7755,6651,7024,8555,5349,6081,6534,9440,9876,8341,6092,8511,10201,4808,5095,7820,6205,5491,5428,9073,5358,4793]), % 166.75/166.44 ['proof']). % 166.75/166.44 % SZS output end Proof % 166.75/166.44 % Total time :149.770000s %------------------------------------------------------------------------------