%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW296+1 : TPTP v8.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 18:06:45 EDT 2024 % Result : Theorem 197.39s 197.40s % Output : CNFRefutation 197.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SWW296+1 : TPTP v8.2.0. Released v5.2.0. % 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.33 % Computer : n028.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Wed Jun 19 09:08:24 EDT 2024 % 0.13/0.33 % CPUTime : % 0.56/0.59 start to proof:theBenchmark % 197.00/197.24 %------------------------------------------- % 197.00/197.24 % File :CSE---1.7 % 197.00/197.24 % Problem :theBenchmark % 197.00/197.24 % Transform :cnf % 197.00/197.24 % Format :tptp:raw % 197.00/197.24 % Command :java -jar mcs_scs.jar %d %s % 197.00/197.24 % 197.00/197.24 % Result :Theorem 177.260000s % 197.00/197.24 % Output :CNFRefutation 177.260000s % 197.00/197.24 %------------------------------------------- % 197.00/197.25 %------------------------------------------------------------------------------ % 197.00/197.25 % File : SWW296+1 : TPTP v8.2.0. Released v5.2.0. % 197.00/197.25 % Domain : Software Verification % 197.00/197.25 % Problem : Hoare's Logic with Procedures 434750, 5000 axioms selected % 197.00/197.25 % Version : Especial. % 197.00/197.25 % English : % 197.00/197.25 % 197.00/197.25 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 197.00/197.25 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 197.00/197.25 % Source : [Bla11] % 197.00/197.25 % Names : hoare_434750.5000.p [Bla11] % 197.00/197.25 % 197.00/197.25 % Status : ContradictoryAxioms % 197.00/197.25 % Rating : 0.81 v8.2.0, 0.75 v8.1.0, 0.81 v7.4.0, 0.90 v7.3.0, 0.86 v7.1.0, 0.83 v7.0.0, 0.90 v6.4.0, 0.85 v6.3.0, 0.83 v6.2.0, 0.92 v6.1.0, 0.97 v6.0.0, 0.96 v5.3.0, 1.00 v5.2.0 % 197.00/197.25 % Syntax : Number of formulae : 5222 (1689 unt; 0 def) % 197.00/197.25 % Number of atoms : 12708 (4430 equ) % 197.00/197.25 % Maximal formula atoms : 13 ( 2 avg) % 197.00/197.25 % Number of connectives : 8548 (1062 ~; 157 |; 750 &) % 197.00/197.25 % ( 910 <=>;5669 =>; 0 <=; 0 <~>) % 197.00/197.25 % Maximal formula depth : 22 ( 6 avg) % 197.00/197.25 % Maximal term depth : 19 ( 2 avg) % 197.00/197.25 % Number of predicates : 143 ( 142 usr; 0 prp; 1-8 aty) % 197.00/197.25 % Number of functors : 397 ( 397 usr; 53 con; 0-7 aty) % 197.00/197.25 % Number of variables : 16730 (16592 !; 138 ?) % 197.00/197.25 % SPC : FOF_CAX_RFO_SEQ % 197.00/197.25 % 197.00/197.25 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 197.00/197.25 % 2011-03-01 11:27:19 % 197.00/197.25 %------------------------------------------------------------------------------ % 197.00/197.25 %----Relevant facts (4982) % 197.00/197.25 fof(fact_ext,axiom, % 197.00/197.25 ! [V_g_2,V_f_2] : % 197.00/197.25 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 197.00/197.25 => V_f_2 = V_g_2 ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_triple__valid__def,axiom, % 197.00/197.25 ! [V_ta_2,V_na_2,T_b] : % 197.00/197.25 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_na_2,V_ta_2) % 197.00/197.25 <=> hBOOL(c_Hoare__Mirabelle_Otriple_Otriple__case(T_b,tc_HOL_Obool,hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_HOL_OAll(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),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_fun(T_b,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBC(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_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_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),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_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBS(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_Com_Ocom),c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))),hAPP(hAPP(c_COMBC(tc_Com_Ocom,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_Natural_Oevaln)),V_na_2))))))))),V_ta_2)) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_evaln__Suc,axiom, % 197.00/197.25 ! [V_s_H,V_n,V_s,V_c] : % 197.00/197.25 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_s_H)) % 197.00/197.25 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),hAPP(c_Nat_OSuc,V_n)),V_s_H)) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_n__not__Suc__n,axiom, % 197.00/197.25 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 197.00/197.25 % 197.00/197.25 fof(fact_Suc__n__not__n,axiom, % 197.00/197.25 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 197.00/197.25 % 197.00/197.25 fof(fact_nat_Oinject,axiom, % 197.00/197.25 ! [V_nat_H_2,V_nat_2] : % 197.00/197.25 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 197.00/197.25 <=> V_nat_2 = V_nat_H_2 ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_Suc__inject,axiom, % 197.00/197.25 ! [V_y,V_x] : % 197.00/197.25 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 197.00/197.25 => V_x = V_y ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_triple_Osimps_I2_J,axiom, % 197.00/197.25 ! [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) ). % 197.00/197.25 % 197.00/197.25 fof(fact_peek__and__def,axiom, % 197.00/197.25 ! [V_s_2,V_Z_2,V_p_2,V_P_2,T_b] : % 197.00/197.25 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_p_2),V_Z_2),V_s_2)) % 197.00/197.25 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_Z_2),V_s_2)) % 197.00/197.25 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_fun__rel__def,axiom, % 197.00/197.25 ! [V_g_2,V_f_2,V_R2_2,V_R1_2,T_e,T_d,T_c,T_b] : % 197.00/197.25 ( hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_c,T_d,T_e,V_R1_2,V_R2_2),V_f_2),V_g_2)) % 197.00/197.25 <=> ! [B_x,B_y] : % 197.00/197.25 ( hBOOL(hAPP(hAPP(V_R1_2,B_x),B_y)) % 197.00/197.25 => hBOOL(hAPP(hAPP(V_R2_2,hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))) ) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 197.00/197.25 ! [V_i_2,V_na_2,V_inc_2,T_b] : % 197.00/197.25 ( class_Rings_Osemiring__1(T_b) % 197.00/197.25 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_na_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_na_2,hAPP(V_inc_2,V_i_2)) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_power_Opower_Opower__Suc,axiom, % 197.00/197.25 ! [V_na_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_na_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_na_2)) ). % 197.00/197.25 % 197.00/197.25 fof(fact_fun__rel__eq,axiom, % 197.00/197.25 ! [T_c,T_b] : c_Quotient_Ofun__rel(T_b,T_b,T_c,T_c,c_fequal,c_fequal) = c_fequal ). % 197.00/197.25 % 197.00/197.25 fof(fact_triple_Oinject,axiom, % 197.00/197.25 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] : % 197.00/197.25 ( 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) % 197.00/197.25 <=> ( V_fun1_2 = V_fun1_H_2 % 197.00/197.25 & V_com_2 = V_com_H_2 % 197.00/197.25 & V_fun2_2 = V_fun2_H_2 ) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_let__rsp,axiom, % 197.00/197.25 ! [V_R2_2,V_R1_2,T_e,T_d,T_c,T_b] : hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_c,tc_fun(tc_fun(T_b,T_d),T_d),tc_fun(tc_fun(T_c,T_e),T_e),V_R1_2,c_Quotient_Ofun__rel(tc_fun(T_b,T_d),tc_fun(T_c,T_e),T_d,T_e,c_Quotient_Ofun__rel(T_b,T_c,T_d,T_e,V_R1_2,V_R2_2),V_R2_2)),c_HOL_OLet(T_b,T_d)),c_HOL_OLet(T_c,T_e))) ). % 197.00/197.25 % 197.00/197.25 fof(fact_apply__rsp_H,axiom, % 197.00/197.25 ! [V_y_2,V_x_2,V_g_2,V_f_2,V_R2_2,V_R1_2,T_e,T_d,T_c,T_b] : % 197.00/197.25 ( hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_c,T_d,T_e,V_R1_2,V_R2_2),V_f_2),V_g_2)) % 197.00/197.25 => ( hBOOL(hAPP(hAPP(V_R1_2,V_x_2),V_y_2)) % 197.00/197.25 => hBOOL(hAPP(hAPP(V_R2_2,hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_y_2))) ) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_fun__relE,axiom, % 197.00/197.25 ! [V_y_2,V_x_2,V_g_2,V_f_2,V_R2_2,V_R1_2,T_e,T_d,T_c,T_b] : % 197.00/197.25 ( hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_c,T_d,T_e,V_R1_2,V_R2_2),V_f_2),V_g_2)) % 197.00/197.25 => ( hBOOL(hAPP(hAPP(V_R1_2,V_x_2),V_y_2)) % 197.00/197.25 => hBOOL(hAPP(hAPP(V_R2_2,hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_y_2))) ) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_triple__valid__def2,axiom, % 197.00/197.25 ! [V_Q_2,V_c_2,V_P_2,V_na_2,T_b] : % 197.00/197.25 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_na_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)) % 197.00/197.25 <=> ! [B_Z,B_s] : % 197.00/197.25 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s)) % 197.00/197.25 => ! [B_s_H] : % 197.00/197.25 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c_2),B_s),V_na_2),B_s_H)) % 197.00/197.25 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s_H)) ) ) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_triple_Orecs,axiom, % 197.00/197.25 ! [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) ). % 197.00/197.25 % 197.00/197.25 fof(fact_nat__case__Suc,axiom, % 197.00/197.25 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(hAPP(hAPP(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) ). % 197.00/197.25 % 197.00/197.25 fof(fact_evaln__elim__cases_I1_J,axiom, % 197.00/197.25 ! [V_t,V_n,V_s] : % 197.00/197.25 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_t)) % 197.00/197.25 => V_t = V_s ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_evaln_OSkip,axiom, % 197.00/197.25 ! [V_n,V_s] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_s)) ). % 197.00/197.25 % 197.00/197.25 fof(fact_fun__relI,axiom, % 197.00/197.25 ! [T_e,T_d,T_c,T_b,V_g_2,V_f_2,V_R2_2,V_R1_2] : % 197.00/197.25 ( ! [B_x,B_y] : % 197.00/197.25 ( hBOOL(hAPP(hAPP(V_R1_2,B_x),B_y)) % 197.00/197.25 => hBOOL(hAPP(hAPP(V_R2_2,hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))) ) % 197.00/197.25 => hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_c,T_d,T_e,V_R1_2,V_R2_2),V_f_2),V_g_2)) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_nat__rec__Suc,axiom, % 197.00/197.25 ! [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)) ). % 197.00/197.25 % 197.00/197.25 fof(fact_evaln_OSemi,axiom, % 197.00/197.25 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] : % 197.00/197.25 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0),V_s0),V_n),V_s1)) % 197.00/197.25 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1),V_s1),V_n),V_s2)) % 197.00/197.25 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_n),V_s2)) ) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 197.00/197.25 ! [V_i_2,V_inc_2,T_b] : % 197.00/197.25 ( class_Rings_Osemiring__1(T_b) % 197.00/197.25 => 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 ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_power_Opower_Opower__0,axiom, % 197.00/197.25 ! [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 ). % 197.00/197.25 % 197.00/197.25 fof(fact_evaln__elim__cases_I5_J,axiom, % 197.00/197.25 ! [V_ta_2,V_na_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 197.00/197.25 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_na_2),V_ta_2)) % 197.00/197.25 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 197.00/197.25 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_na_2),V_ta_2)) ) % 197.00/197.25 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 197.00/197.25 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c2_2),V_s_2),V_na_2),V_ta_2)) ) ) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_evaln_OIfTrue,axiom, % 197.00/197.25 ! [V_c1_2,V_s1_2,V_na_2,V_c0_2,V_s_2,V_b_2] : % 197.00/197.25 ( hBOOL(hAPP(V_b_2,V_s_2)) % 197.00/197.25 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0_2),V_s_2),V_na_2),V_s1_2)) % 197.00/197.25 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_na_2),V_s1_2)) ) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_evaln_OIfFalse,axiom, % 197.00/197.25 ! [V_c0_2,V_s1_2,V_na_2,V_c1_2,V_s_2,V_b_2] : % 197.00/197.25 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 197.00/197.25 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_na_2),V_s1_2)) % 197.00/197.25 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_na_2),V_s1_2)) ) ) ). % 197.00/197.25 % 197.00/197.25 fof(fact_nat__rec__0,axiom, % 197.00/197.25 ! [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 ). % 197.00/197.25 % 197.00/197.25 fof(fact_nat__case__0,axiom, % 197.00/197.25 ! [V_f2_2,V_f1_2,T_b] : hAPP(hAPP(hAPP(c_Nat_Onat_Onat__case(T_b),V_f1_2),V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 197.00/197.25 % 197.00/197.25 fof(fact_Zero__not__Suc,axiom, % 197.00/197.25 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 197.00/197.25 % 197.00/197.25 fof(fact_nat_Osimps_I2_J,axiom, % 197.00/197.25 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 197.00/197.25 % 197.00/197.25 fof(fact_Suc__not__Zero,axiom, % 197.00/197.25 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.25 % 197.00/197.25 fof(fact_nat_Osimps_I3_J,axiom, % 197.00/197.25 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.25 % 197.00/197.25 fof(fact_Zero__neq__Suc,axiom, % 197.00/197.25 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 197.00/197.25 % 197.00/197.25 fof(fact_Suc__neq__Zero,axiom, % 197.00/197.26 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evaln_Oequations_I5_J,axiom, % 197.00/197.26 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a6_2)),V_a2_2),V_a4_2),V_a5_2)) % 197.00/197.26 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 197.00/197.26 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) ) % 197.00/197.26 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 197.00/197.26 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evaln_Oequations_I6_J,axiom, % 197.00/197.26 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_a1_2,V_a6_2,V_a3_2)),V_a2_2),V_a4_2),V_a5_2)) % 197.00/197.26 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 197.00/197.26 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) ) % 197.00/197.26 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 197.00/197.26 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evaln_Oequations_I4_J,axiom, % 197.00/197.26 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_a1_2,V_a5_2)),V_a2_2),V_a3_2),V_a6_2)) % 197.00/197.26 <=> ? [B_s1] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a1_2),V_a2_2),V_a3_2),B_s1)) % 197.00/197.26 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a5_2),B_s1),V_a3_2),V_a6_2)) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evaln_Oequations_I1_J,axiom, % 197.00/197.26 ! [V_a2,V_a1] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_a1),V_a2),V_a1)) ). % 197.00/197.26 % 197.00/197.26 fof(fact_triple_Osize_I1_J,axiom, % 197.00/197.26 ! [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) ). % 197.00/197.26 % 197.00/197.26 fof(fact_triple_Osize_I2_J,axiom, % 197.00/197.26 ! [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) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I13_J,axiom, % 197.00/197.26 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I12_J,axiom, % 197.00/197.26 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I15_J,axiom, % 197.00/197.26 ! [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 ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I14_J,axiom, % 197.00/197.26 ! [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) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I45_J,axiom, % 197.00/197.26 ! [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) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I44_J,axiom, % 197.00/197.26 ! [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) ). % 197.00/197.26 % 197.00/197.26 fof(fact_Body__triple__valid__0,axiom, % 197.00/197.26 ! [V_Q_2,V_pn_2,V_P_2,T_b] : c_Hoare__Mirabelle_Otriple__valid(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I3_J,axiom, % 197.00/197.26 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] : % 197.00/197.26 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) % 197.00/197.26 <=> ( V_com1_2 = V_com1_H_2 % 197.00/197.26 & V_com2_2 = V_com2_H_2 ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I4_J,axiom, % 197.00/197.26 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : % 197.00/197.26 ( 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) % 197.00/197.26 <=> ( V_fun_2 = V_fun_H_2 % 197.00/197.26 & V_com1_2 = V_com1_H_2 % 197.00/197.26 & V_com2_2 = V_com2_H_2 ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evaln__elim__cases_I4_J,axiom, % 197.00/197.26 ! [V_t,V_n,V_s,V_c2,V_c1] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_n),V_t)) % 197.00/197.26 => ~ ! [B_s1] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1),V_s),V_n),B_s1)) % 197.00/197.26 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c2),B_s1),V_n),V_t)) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I6_J,axiom, % 197.00/197.26 ! [V_pname_H_2,V_pname_2] : % 197.00/197.26 ( hAPP(c_Com_Ocom_OBODY,V_pname_2) = hAPP(c_Com_Ocom_OBODY,V_pname_H_2) % 197.00/197.26 <=> V_pname_2 = V_pname_H_2 ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I55_J,axiom, % 197.00/197.26 ! [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) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I54_J,axiom, % 197.00/197.26 ! [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) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I49_J,axiom, % 197.00/197.26 ! [V_com2,V_com1,V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I48_J,axiom, % 197.00/197.26 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I18_J,axiom, % 197.00/197.26 ! [V_pname_H] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osimps_I19_J,axiom, % 197.00/197.26 ! [V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ). % 197.00/197.26 % 197.00/197.26 fof(fact_Least__Suc,axiom, % 197.00/197.26 ! [V_na_2,V_P_2] : % 197.00/197.26 ( hBOOL(hAPP(V_P_2,V_na_2)) % 197.00/197.26 => ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 197.00/197.26 => hAPP(c_Orderings_Oord__class_OLeast(tc_Nat_Onat),V_P_2) = hAPP(c_Nat_OSuc,hAPP(c_Orderings_Oord__class_OLeast(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Nat_Onat),V_P_2),c_Nat_OSuc))) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osize_I1_J,axiom, % 197.00/197.26 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osize_I7_J,axiom, % 197.00/197.26 ! [V_pname] : c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osize_I9_J,axiom, % 197.00/197.26 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osize_I15_J,axiom, % 197.00/197.26 ! [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) ). % 197.00/197.26 % 197.00/197.26 fof(fact_Body__triple__valid__Suc,axiom, % 197.00/197.26 ! [V_Q_2,V_pn_2,V_P_2,V_na_2,T_b] : % 197.00/197.26 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_na_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)) % 197.00/197.26 <=> c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_na_2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_zero__reorient,axiom, % 197.00/197.26 ! [V_x_2,T_b] : % 197.00/197.26 ( class_Groups_Ozero(T_b) % 197.00/197.26 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2 % 197.00/197.26 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_def__nat__rec__Suc,axiom, % 197.00/197.26 ! [V_na_2,V_h_2,V_c_2,T_b,V_f_2] : % 197.00/197.26 ( ! [B_n] : hAPP(V_f_2,B_n) = hAPP(c_Nat_Onat_Onat__rec(T_b,V_c_2,V_h_2),B_n) % 197.00/197.26 => hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(V_h_2,V_na_2),hAPP(V_f_2,V_na_2)) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_def__nat__rec__0,axiom, % 197.00/197.26 ! [V_h_2,V_c_2,T_b,V_f_2] : % 197.00/197.26 ( ! [B_n] : hAPP(V_f_2,B_n) = hAPP(c_Nat_Onat_Onat__rec(T_b,V_c_2,V_h_2),B_n) % 197.00/197.26 => hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_c_2 ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_if__rsp,axiom, % 197.00/197.26 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.26 => hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(tc_HOL_Obool,tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,T_b)),c_fequal,c_Quotient_Ofun__rel(T_b,T_b,tc_fun(T_b,T_b),tc_fun(T_b,T_b),V_R_2,c_Quotient_Ofun__rel(T_b,T_b,T_b,T_b,V_R_2,V_R_2))),c_If(T_b)),c_If(T_b))) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evaln_OBody,axiom, % 197.00/197.26 ! [V_s1,V_n,V_s0,V_pn] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_n),V_s1)) % 197.00/197.26 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),hAPP(c_Nat_OSuc,V_n)),V_s1)) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_Quotient__def,axiom, % 197.00/197.26 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.26 <=> ( ! [B_a] : hAPP(V_Abs_2,hAPP(V_Rep_2,B_a)) = B_a % 197.00/197.26 & ! [B_a] : hBOOL(hAPP(hAPP(V_R_2,hAPP(V_Rep_2,B_a)),hAPP(V_Rep_2,B_a))) % 197.00/197.26 & ! [B_r,B_s] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(V_R_2,B_r),B_s)) % 197.00/197.26 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_r),B_r)) % 197.00/197.26 & hBOOL(hAPP(hAPP(V_R_2,B_s),B_s)) % 197.00/197.26 & hAPP(V_Abs_2,B_r) = hAPP(V_Abs_2,B_s) ) ) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_Quotient__abs__rep,axiom, % 197.00/197.26 ! [V_a_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.26 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_a_2)) = V_a_2 ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_Quotient__rel,axiom, % 197.00/197.26 ! [V_s_2,V_r_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.26 => ( ( hBOOL(hAPP(hAPP(V_R_2,V_r_2),V_r_2)) % 197.00/197.26 & hBOOL(hAPP(hAPP(V_R_2,V_s_2),V_s_2)) % 197.00/197.26 & hAPP(V_Abs_2,V_r_2) = hAPP(V_Abs_2,V_s_2) ) % 197.00/197.26 <=> hBOOL(hAPP(hAPP(V_R_2,V_r_2),V_s_2)) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_Quotient__rel__rep,axiom, % 197.00/197.26 ! [V_b_2,V_a_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(V_R_2,hAPP(V_Rep_2,V_a_2)),hAPP(V_Rep_2,V_b_2))) % 197.00/197.26 <=> V_a_2 = V_b_2 ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_Quotient__rep__reflp,axiom, % 197.00/197.26 ! [V_a_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.26 => hBOOL(hAPP(hAPP(V_R_2,hAPP(V_Rep_2,V_a_2)),hAPP(V_Rep_2,V_a_2))) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_Quotient__rel__abs,axiom, % 197.00/197.26 ! [V_s_2,V_r_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(V_R_2,V_r_2),V_s_2)) % 197.00/197.26 => hAPP(V_Abs_2,V_r_2) = hAPP(V_Abs_2,V_s_2) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_rep__abs__rsp,axiom, % 197.00/197.26 ! [V_x2_2,V_x1_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(V_R_2,V_x1_2),V_x2_2)) % 197.00/197.26 => hBOOL(hAPP(hAPP(V_R_2,V_x1_2),hAPP(V_Rep_2,hAPP(V_Abs_2,V_x2_2)))) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_Quotient__rep__abs,axiom, % 197.00/197.26 ! [V_r_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(V_R_2,V_r_2),V_r_2)) % 197.00/197.26 => hBOOL(hAPP(hAPP(V_R_2,hAPP(V_Rep_2,hAPP(V_Abs_2,V_r_2))),V_r_2)) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_rep__abs__rsp__left,axiom, % 197.00/197.26 ! [V_x2_2,V_x1_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(V_R_2,V_x1_2),V_x2_2)) % 197.00/197.26 => hBOOL(hAPP(hAPP(V_R_2,hAPP(V_Rep_2,hAPP(V_Abs_2,V_x1_2))),V_x2_2)) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_equals__rsp,axiom, % 197.00/197.26 ! [V_yb_2,V_ya_2,V_xb_2,V_xa_2,V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(V_R_2,V_xa_2),V_xb_2)) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(V_R_2,V_ya_2),V_yb_2)) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(V_R_2,V_xa_2),V_ya_2)) % 197.00/197.26 <=> hBOOL(hAPP(hAPP(V_R_2,V_xb_2),V_yb_2)) ) ) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_quot__rel__rsp,axiom, % 197.00/197.26 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.26 => hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_R_2,c_Quotient_Ofun__rel(T_b,T_b,tc_HOL_Obool,tc_HOL_Obool,V_R_2,c_fequal)),V_R_2),V_R_2)) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_apply__rsp,axiom, % 197.00/197.26 ! [V_y_2,V_x_2,V_g_2,V_f_2,V_R2_2,T_d,V_Rep1_2,V_Abs1_2,V_R1_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_b,T_d,T_d,V_R1_2,V_R2_2),V_f_2),V_g_2)) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(V_R1_2,V_x_2),V_y_2)) % 197.00/197.26 => hBOOL(hAPP(hAPP(V_R2_2,hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_y_2))) ) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evaln_Oequations_I9_J,axiom, % 197.00/197.26 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),hAPP(c_Nat_OSuc,V_a3_2)),V_a4_2)) % 197.00/197.26 <=> hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2))),V_a2_2),V_a3_2),V_a4_2)) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evaln__elim__cases_I6_J,axiom, % 197.00/197.26 ! [V_s1,V_n,V_s,V_P] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_n),V_s1)) % 197.00/197.26 => ~ ! [B_n] : % 197.00/197.26 ( V_n = hAPP(c_Nat_OSuc,B_n) % 197.00/197.26 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),B_n),V_s1)) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_LeastI,axiom, % 197.00/197.26 ! [V_k_2,V_P_2,T_b] : % 197.00/197.26 ( class_Orderings_Owellorder(T_b) % 197.00/197.26 => ( hBOOL(hAPP(V_P_2,V_k_2)) % 197.00/197.26 => hBOOL(hAPP(V_P_2,hAPP(c_Orderings_Oord__class_OLeast(T_b),V_P_2))) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evalc__elim__cases_I6_J,axiom, % 197.00/197.26 ! [V_s1,V_s,V_P] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1)) % 197.00/197.26 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1)) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evalc_OBody,axiom, % 197.00/197.26 ! [V_s1,V_s0,V_pn] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1)) % 197.00/197.26 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1)) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osize_I12_J,axiom, % 197.00/197.26 ! [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))) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osize_I4_J,axiom, % 197.00/197.26 ! [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))) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osize_I13_J,axiom, % 197.00/197.26 ! [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))) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com_Osize_I5_J,axiom, % 197.00/197.26 ! [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))) ). % 197.00/197.26 % 197.00/197.26 fof(fact_Least__Suc2,axiom, % 197.00/197.26 ! [V_m_2,V_Q_2,V_na_2,V_P_2] : % 197.00/197.26 ( hBOOL(hAPP(V_P_2,V_na_2)) % 197.00/197.26 => ( hBOOL(hAPP(V_Q_2,V_m_2)) % 197.00/197.26 => ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 197.00/197.26 => ( ! [B_k] : % 197.00/197.26 ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_OSuc,B_k))) % 197.00/197.26 <=> hBOOL(hAPP(V_Q_2,B_k)) ) % 197.00/197.26 => hAPP(c_Orderings_Oord__class_OLeast(tc_Nat_Onat),V_P_2) = hAPP(c_Nat_OSuc,hAPP(c_Orderings_Oord__class_OLeast(tc_Nat_Onat),V_Q_2)) ) ) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_LeastI__ex,axiom, % 197.00/197.26 ! [V_P_2,T_b] : % 197.00/197.26 ( class_Orderings_Owellorder(T_b) % 197.00/197.26 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 197.00/197.26 => hBOOL(hAPP(V_P_2,hAPP(c_Orderings_Oord__class_OLeast(T_b),V_P_2))) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evalc_Oequations_I9_J,axiom, % 197.00/197.26 ! [V_a3_2,V_a2_2,V_a1_2] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),V_a3_2)) % 197.00/197.26 <=> 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)) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_fun__quotient,axiom, % 197.00/197.26 ! [V_rep2_2,V_abs2_2,V_R2_2,T_e,T_d,V_rep1_2,V_abs1_2,V_R1_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_abs1_2,V_rep1_2) % 197.00/197.26 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_abs2_2,V_rep2_2) % 197.00/197.26 => c_Quotient_OQuotient(tc_fun(T_b,T_d),tc_fun(T_c,T_e),c_Quotient_Ofun__rel(T_b,T_b,T_d,T_d,V_R1_2,V_R2_2),c_Fun_Omap__fun(T_c,T_b,T_d,T_e,V_rep1_2,V_abs2_2),c_Fun_Omap__fun(T_b,T_c,T_e,T_d,V_abs1_2,V_rep2_2)) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evalc__elim__cases_I5_J,axiom, % 197.00/197.26 ! [V_ta_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_ta_2)) % 197.00/197.26 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 197.00/197.26 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_ta_2)) ) % 197.00/197.26 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 197.00/197.26 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_ta_2)) ) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evalc_OIfTrue,axiom, % 197.00/197.26 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] : % 197.00/197.26 ( hBOOL(hAPP(V_b_2,V_s_2)) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2)) % 197.00/197.26 => 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)) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evalc_OIfFalse,axiom, % 197.00/197.26 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] : % 197.00/197.26 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2)) % 197.00/197.26 => 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)) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evalc_OSemi,axiom, % 197.00/197.26 ! [V_s2,V_c1,V_s1,V_s0,V_c0] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1)) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2)) % 197.00/197.26 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evalc__elim__cases_I1_J,axiom, % 197.00/197.26 ! [V_t,V_s] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t)) % 197.00/197.26 => V_t = V_s ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_evalc_OSkip,axiom, % 197.00/197.26 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ). % 197.00/197.26 % 197.00/197.26 fof(fact_let__prs,axiom, % 197.00/197.26 ! [V_Rep2_2,V_Abs2_2,V_R2_2,T_e,T_d,V_Rep1_2,V_Abs1_2,V_R1_2,T_c,T_b] : % 197.00/197.26 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 197.00/197.26 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_Abs2_2,V_Rep2_2) % 197.00/197.26 => hAPP(c_Fun_Omap__fun(T_e,T_d,tc_fun(tc_fun(T_d,T_b),T_b),tc_fun(tc_fun(T_e,T_c),T_c),V_Rep2_2,c_Fun_Omap__fun(tc_fun(T_e,T_c),tc_fun(T_d,T_b),T_b,T_c,c_Fun_Omap__fun(T_d,T_e,T_c,T_b,V_Abs2_2,V_Rep1_2),V_Abs1_2)),c_HOL_OLet(T_d,T_b)) = c_HOL_OLet(T_e,T_c) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_add__right__imp__eq,axiom, % 197.00/197.26 ! [V_c,V_a,V_b,T_a] : % 197.00/197.26 ( class_Groups_Ocancel__semigroup__add(T_a) % 197.00/197.26 => ( 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) % 197.00/197.26 => V_b = V_c ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_add__imp__eq,axiom, % 197.00/197.26 ! [V_c,V_b,V_a,T_a] : % 197.00/197.26 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 197.00/197.26 => ( 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) % 197.00/197.26 => V_b = V_c ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_add__left__imp__eq,axiom, % 197.00/197.26 ! [V_c,V_b,V_a,T_a] : % 197.00/197.26 ( class_Groups_Ocancel__semigroup__add(T_a) % 197.00/197.26 => ( 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) % 197.00/197.26 => V_b = V_c ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_add__right__cancel,axiom, % 197.00/197.26 ! [V_c_2,V_a_2,V_b_2,T_b] : % 197.00/197.26 ( class_Groups_Ocancel__semigroup__add(T_b) % 197.00/197.26 => ( 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) % 197.00/197.26 <=> V_b_2 = V_c_2 ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_add__left__cancel,axiom, % 197.00/197.26 ! [V_c_2,V_b_2,V_a_2,T_b] : % 197.00/197.26 ( class_Groups_Ocancel__semigroup__add(T_b) % 197.00/197.26 => ( 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) % 197.00/197.26 <=> V_b_2 = V_c_2 ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 197.00/197.26 ! [V_c,V_b,V_a,T_a] : % 197.00/197.26 ( class_Groups_Oab__semigroup__add(T_a) % 197.00/197.26 => 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)) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_com__det,axiom, % 197.00/197.26 ! [V_u,V_t,V_s,V_c] : % 197.00/197.26 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) % 197.00/197.26 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u)) % 197.00/197.26 => V_u = V_t ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_nat__add__right__cancel,axiom, % 197.00/197.26 ! [V_na_2,V_k_2,V_m_2] : % 197.00/197.26 ( 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_na_2),V_k_2) % 197.00/197.26 <=> V_m_2 = V_na_2 ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_nat__add__left__cancel,axiom, % 197.00/197.26 ! [V_na_2,V_m_2,V_k_2] : % 197.00/197.26 ( 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_na_2) % 197.00/197.26 <=> V_m_2 = V_na_2 ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_nat__add__assoc,axiom, % 197.00/197.26 ! [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)) ). % 197.00/197.26 % 197.00/197.26 fof(fact_nat__add__left__commute,axiom, % 197.00/197.26 ! [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)) ). % 197.00/197.26 % 197.00/197.26 fof(fact_nat__add__commute,axiom, % 197.00/197.26 ! [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) ). % 197.00/197.26 % 197.00/197.26 fof(fact_add__0__left,axiom, % 197.00/197.26 ! [V_a,T_a] : % 197.00/197.26 ( class_Groups_Omonoid__add(T_a) % 197.00/197.26 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_add__0,axiom, % 197.00/197.26 ! [V_a,T_a] : % 197.00/197.26 ( class_Groups_Ocomm__monoid__add(T_a) % 197.00/197.26 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_double__zero__sym,axiom, % 197.00/197.26 ! [V_a_2,T_b] : % 197.00/197.26 ( class_Groups_Olinordered__ab__group__add(T_b) % 197.00/197.26 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) % 197.00/197.26 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_add__0__right,axiom, % 197.00/197.26 ! [V_a,T_a] : % 197.00/197.26 ( class_Groups_Omonoid__add(T_a) % 197.00/197.26 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_add_Ocomm__neutral,axiom, % 197.00/197.26 ! [V_a,T_a] : % 197.00/197.26 ( class_Groups_Ocomm__monoid__add(T_a) % 197.00/197.26 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_add__eq__self__zero,axiom, % 197.00/197.26 ! [V_n,V_m] : % 197.00/197.26 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 197.00/197.26 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 197.00/197.26 % 197.00/197.26 fof(fact_add__is__0,axiom, % 197.00/197.26 ! [V_na_2,V_m_2] : % 197.00/197.26 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.00/197.26 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.00/197.26 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_Nat_Oadd__0__right,axiom, % 197.00/197.27 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 197.00/197.27 % 197.00/197.27 fof(fact_plus__nat_Oadd__0,axiom, % 197.00/197.27 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 197.00/197.27 % 197.00/197.27 fof(fact_add__Suc__shift,axiom, % 197.00/197.27 ! [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)) ). % 197.00/197.27 % 197.00/197.27 fof(fact_add__Suc,axiom, % 197.00/197.27 ! [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)) ). % 197.00/197.27 % 197.00/197.27 fof(fact_add__Suc__right,axiom, % 197.00/197.27 ! [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)) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evaln__evalc,axiom, % 197.00/197.27 ! [V_t,V_n,V_s,V_c] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t)) % 197.00/197.27 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_eval__eq,axiom, % 197.00/197.27 ! [V_ta_2,V_s_2,V_c_2] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s_2),V_ta_2)) % 197.00/197.27 <=> ? [B_n] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c_2),V_s_2),B_n),V_ta_2)) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evalc_Oequations_I6_J,axiom, % 197.00/197.27 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] : % 197.00/197.27 ( 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)) % 197.00/197.27 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 197.00/197.27 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) % 197.00/197.27 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 197.00/197.27 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evalc_Oequations_I5_J,axiom, % 197.00/197.27 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] : % 197.00/197.27 ( 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)) % 197.00/197.27 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 197.00/197.27 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) % 197.00/197.27 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 197.00/197.27 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evalc_Oequations_I4_J,axiom, % 197.00/197.27 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2)) % 197.00/197.27 <=> ? [B_s1] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1)) % 197.00/197.27 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evalc_Oequations_I1_J,axiom, % 197.00/197.27 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ). % 197.00/197.27 % 197.00/197.27 fof(fact_lambda__prs1,axiom, % 197.00/197.27 ! [V_f_2,V_Rep2_2,V_Abs2_2,V_R2_2,T_e,T_d,V_Rep1_2,V_Abs1_2,V_R1_2,T_c,T_b] : % 197.00/197.27 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 197.00/197.27 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_Abs2_2,V_Rep2_2) % 197.00/197.27 => hAPP(c_Fun_Omap__fun(T_c,T_b,T_d,T_e,V_Rep1_2,V_Abs2_2),hAPP(c_Fun_Omap__fun(T_b,T_c,T_e,T_d,V_Abs1_2,V_Rep2_2),V_f_2)) = V_f_2 ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_lambda__prs,axiom, % 197.00/197.27 ! [V_f_2,V_Rep2_2,V_Abs2_2,V_R2_2,T_e,T_d,V_Rep1_2,V_Abs1_2,V_R1_2,T_c,T_b] : % 197.00/197.27 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 197.00/197.27 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_Abs2_2,V_Rep2_2) % 197.00/197.27 => hAPP(c_Fun_Omap__fun(T_c,T_b,T_d,T_e,V_Rep1_2,V_Abs2_2),hAPP(hAPP(c_COMBB(T_e,T_d,T_b),V_Rep2_2),hAPP(hAPP(c_COMBB(T_c,T_e,T_b),V_f_2),V_Abs1_2))) = V_f_2 ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_one__is__add,axiom, % 197.00/197.27 ! [V_na_2,V_m_2] : % 197.00/197.27 ( 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_na_2) % 197.00/197.27 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 197.00/197.27 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 197.00/197.27 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.00/197.27 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_add__is__1,axiom, % 197.00/197.27 ! [V_na_2,V_m_2] : % 197.00/197.27 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 197.00/197.27 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 197.00/197.27 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 197.00/197.27 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.00/197.27 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_MGT__def,axiom, % 197.00/197.27 ! [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)) ). % 197.00/197.27 % 197.00/197.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 197.00/197.27 ! [V_a,T_a] : % 197.00/197.27 ( class_Rings_Ocomm__semiring__1(T_a) % 197.00/197.27 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 197.00/197.27 ! [V_a,T_a] : % 197.00/197.27 ( class_Rings_Ocomm__semiring__1(T_a) % 197.00/197.27 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_add__0__iff,axiom, % 197.00/197.27 ! [V_a_2,V_b_2,T_b] : % 197.00/197.27 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 197.00/197.27 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) % 197.00/197.27 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_double__eq__0__iff,axiom, % 197.00/197.27 ! [V_a_2,T_b] : % 197.00/197.27 ( class_Groups_Olinordered__ab__group__add(T_b) % 197.00/197.27 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 197.00/197.27 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osize_I3_J,axiom, % 197.00/197.27 ! [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))) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osize_I11_J,axiom, % 197.00/197.27 ! [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))) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osize_I6_J,axiom, % 197.00/197.27 ! [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))) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osize_I14_J,axiom, % 197.00/197.27 ! [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))) ). % 197.00/197.27 % 197.00/197.27 fof(fact_nat_Osize_I2_J,axiom, % 197.00/197.27 ! [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))) ). % 197.00/197.27 % 197.00/197.27 fof(fact_bex1__rel__rsp,axiom, % 197.00/197.27 ! [V_repf_2,V_absf_2,V_R_2,T_c,T_b] : % 197.00/197.27 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_absf_2,V_repf_2) % 197.00/197.27 => hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool,c_Quotient_Ofun__rel(T_b,T_b,tc_HOL_Obool,tc_HOL_Obool,V_R_2,c_fequal),c_fequal),c_Quotient_OBex1__rel(T_b,V_R_2)),c_Quotient_OBex1__rel(T_b,V_R_2))) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evaln_OWhileFalse,axiom, % 197.00/197.27 ! [V_na_2,V_c_2,V_s_2,V_b_2] : % 197.00/197.27 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 197.00/197.27 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s_2),V_na_2),V_s_2)) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evaln_OWhileTrue,axiom, % 197.00/197.27 ! [V_s2_2,V_s1_2,V_na_2,V_c_2,V_s0_2,V_b_2] : % 197.00/197.27 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 197.00/197.27 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c_2),V_s0_2),V_na_2),V_s1_2)) % 197.00/197.27 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s1_2),V_na_2),V_s2_2)) % 197.00/197.27 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s0_2),V_na_2),V_s2_2)) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evalc_OWhileFalse,axiom, % 197.00/197.27 ! [V_c_2,V_s_2,V_b_2] : % 197.00/197.27 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 197.00/197.27 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s_2),V_s_2)) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evalc_OWhileTrue,axiom, % 197.00/197.27 ! [V_s2_2,V_s1_2,V_c_2,V_s0_2,V_b_2] : % 197.00/197.27 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 197.00/197.27 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s0_2),V_s1_2)) % 197.00/197.27 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s1_2),V_s2_2)) % 197.00/197.27 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s0_2),V_s2_2)) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I39_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I38_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I5_J,axiom, % 197.00/197.27 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] : % 197.00/197.27 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) % 197.00/197.27 <=> ( V_fun_2 = V_fun_H_2 % 197.00/197.27 & V_com_2 = V_com_H_2 ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I2_J,axiom, % 197.00/197.27 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] : % 197.00/197.27 ( 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) % 197.00/197.27 <=> ( V_loc_2 = V_loc_H_2 % 197.00/197.27 & V_fun_2 = V_fun_H_2 % 197.00/197.27 & V_com_2 = V_com_H_2 ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evaln_Oequations_I7_J,axiom, % 197.00/197.27 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a4_2),V_a2_2)) % 197.00/197.27 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 197.00/197.27 => ? [B_s1] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1)) % 197.00/197.27 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a4_2),V_a2_2)) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evaln_Oequations_I8_J,axiom, % 197.00/197.27 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a4_2),V_a6_2)) % 197.00/197.27 <=> ( ( V_a6_2 = V_a2_2 % 197.00/197.27 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 197.00/197.27 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 197.00/197.27 & ? [B_s1] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1)) % 197.00/197.27 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a4_2),V_a6_2)) ) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_nat_Osize_I1_J,axiom, % 197.00/197.27 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evalc_Oequations_I7_J,axiom, % 197.00/197.27 ! [V_a2_2,V_a3_2,V_a1_2] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2)) % 197.00/197.27 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 197.00/197.27 => ? [B_s1] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 197.00/197.27 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evalc_Oequations_I8_J,axiom, % 197.00/197.27 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2)) % 197.00/197.27 <=> ( ( V_a5_2 = V_a2_2 % 197.00/197.27 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 197.00/197.27 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 197.00/197.27 & ? [B_s1] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 197.00/197.27 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I58_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I59_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I52_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I53_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I47_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I46_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I17_J,axiom, % 197.00/197.27 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I16_J,axiom, % 197.00/197.27 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I40_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I41_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I36_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I37_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I34_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I35_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I11_J,axiom, % 197.00/197.27 ! [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 ). % 197.00/197.27 % 197.00/197.27 fof(fact_com_Osimps_I10_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 197.00/197.27 ! [V_d,V_c,V_b,V_a,T_a] : % 197.00/197.27 ( class_Rings_Ocomm__semiring__1(T_a) % 197.00/197.27 => 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)) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 197.00/197.27 ! [V_c,V_b,V_a,T_a] : % 197.00/197.27 ( class_Rings_Ocomm__semiring__1(T_a) % 197.00/197.27 => 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) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 197.00/197.27 ! [V_c,V_b,V_a,T_a] : % 197.00/197.27 ( class_Rings_Ocomm__semiring__1(T_a) % 197.00/197.27 => 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)) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 197.00/197.27 ! [V_d,V_c,V_a,T_a] : % 197.00/197.27 ( class_Rings_Ocomm__semiring__1(T_a) % 197.00/197.27 => 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) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 197.00/197.27 ! [V_d,V_c,V_a,T_a] : % 197.00/197.27 ( class_Rings_Ocomm__semiring__1(T_a) % 197.00/197.27 => 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)) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 197.00/197.27 ! [V_c,V_a,T_a] : % 197.00/197.27 ( class_Rings_Ocomm__semiring__1(T_a) % 197.00/197.27 => 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) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_nat_Osize_I4_J,axiom, % 197.00/197.27 ! [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))) ). % 197.00/197.27 % 197.00/197.27 fof(fact_bool_Osize_I2_J,axiom, % 197.00/197.27 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.27 % 197.00/197.27 fof(fact_bool_Osize_I1_J,axiom, % 197.00/197.27 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.27 % 197.00/197.27 fof(fact_if__prs,axiom, % 197.00/197.27 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.27 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.27 => hAPP(c_Fun_Omap__fun(tc_HOL_Obool,tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_c,tc_fun(T_c,T_c)),c_Fun_Oid(tc_HOL_Obool),c_Fun_Omap__fun(T_c,T_b,tc_fun(T_b,T_b),tc_fun(T_c,T_c),V_Rep_2,c_Fun_Omap__fun(T_c,T_b,T_b,T_c,V_Rep_2,V_Abs_2))),c_If(T_b)) = c_If(T_c) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_map__fun__apply,axiom, % 197.00/197.27 ! [V_x_2,V_h_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(c_Fun_Omap__fun(T_c,T_d,T_e,T_b,V_f_2,V_g_2),V_h_2),V_x_2) = hAPP(V_g_2,hAPP(V_h_2,hAPP(V_f_2,V_x_2))) ). % 197.00/197.27 % 197.00/197.27 fof(fact_bool_Osize_I4_J,axiom, % 197.00/197.27 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.27 % 197.00/197.27 fof(fact_bool_Osize_I3_J,axiom, % 197.00/197.27 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evalc__elim__cases_I4_J,axiom, % 197.00/197.27 ! [V_t,V_s,V_c2,V_c1] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t)) % 197.00/197.27 => ~ ! [B_s1] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1)) % 197.00/197.27 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_mem__rsp,axiom, % 197.00/197.27 ! [V_R2_2,V_R1_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),V_R1_2,c_Quotient_Ofun__rel(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool,c_Quotient_Ofun__rel(T_b,T_c,tc_HOL_Obool,tc_HOL_Obool,V_R1_2,V_R2_2),V_R2_2)),c_member(T_b)),c_member(T_c))) ). % 197.00/197.27 % 197.00/197.27 fof(fact_evalc__WHILE__case,axiom, % 197.00/197.27 ! [V_ta_2,V_s_2,V_c_2,V_b_2] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s_2),V_ta_2)) % 197.00/197.27 => ( ( V_ta_2 = V_s_2 % 197.00/197.27 => hBOOL(hAPP(V_b_2,V_s_2)) ) % 197.00/197.27 => ~ ( hBOOL(hAPP(V_b_2,V_s_2)) % 197.00/197.27 => ! [B_s1] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s_2),B_s1)) % 197.00/197.27 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),B_s1),V_ta_2)) ) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_nat_Osize_I3_J,axiom, % 197.00/197.27 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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_id__def,axiom, % 197.00/197.27 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 197.00/197.27 % 197.00/197.27 fof(fact_id__apply,axiom, % 197.00/197.27 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 197.00/197.27 % 197.00/197.27 fof(fact_nat__size,axiom, % 197.00/197.27 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 197.00/197.27 % 197.00/197.27 fof(fact_mem__prs,axiom, % 197.00/197.27 ! [V_Rep2_2,V_Abs2_2,V_R2_2,V_Rep1_2,V_Abs1_2,V_R1_2,T_c,T_b] : % 197.00/197.27 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 197.00/197.27 => ( c_Quotient_OQuotient(tc_HOL_Obool,tc_HOL_Obool,V_R2_2,V_Abs2_2,V_Rep2_2) % 197.00/197.27 => hAPP(c_Fun_Omap__fun(T_c,T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),V_Rep1_2,c_Fun_Omap__fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool,c_Fun_Omap__fun(T_b,T_c,tc_HOL_Obool,tc_HOL_Obool,V_Abs1_2,V_Rep2_2),V_Abs2_2)),c_member(T_b)) = c_member(T_c) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_identity__quotient,axiom, % 197.00/197.27 ! [T_b] : c_Quotient_OQuotient(T_b,T_b,c_fequal,c_Fun_Oid(T_b),c_Fun_Oid(T_b)) ). % 197.00/197.27 % 197.00/197.27 fof(fact_id__rsp,axiom, % 197.00/197.27 ! [V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_c,T_b,T_c,V_R_2,V_R_2),c_Fun_Oid(T_b)),c_Fun_Oid(T_c))) ). % 197.00/197.27 % 197.00/197.27 fof(fact_id__prs,axiom, % 197.00/197.27 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.27 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.27 => hAPP(c_Fun_Omap__fun(T_c,T_b,T_b,T_c,V_Rep_2,V_Abs_2),c_Fun_Oid(T_b)) = c_Fun_Oid(T_c) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_equalityCE,axiom, % 197.00/197.27 ! [V_c_2,T_b,V_B_2,V_A_2] : % 197.00/197.27 ( V_A_2 = V_B_2 % 197.00/197.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.00/197.27 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) % 197.00/197.27 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.00/197.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_map__fun_Oid,axiom, % 197.00/197.27 ! [T_c,T_b] : c_Fun_Omap__fun(T_b,T_b,T_c,T_c,c_Fun_Oid(T_b),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_fun(T_b,T_c)) ). % 197.00/197.27 % 197.00/197.27 fof(fact_ex1__prs,axiom, % 197.00/197.27 ! [V_f_2,V_repf_2,V_absf_2,V_R_2,T_c,T_b] : % 197.00/197.27 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_absf_2,V_repf_2) % 197.00/197.27 => ( hBOOL(hAPP(hAPP(c_Fun_Omap__fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool,c_Fun_Omap__fun(T_b,T_c,tc_HOL_Obool,tc_HOL_Obool,V_absf_2,c_Fun_Oid(tc_HOL_Obool)),c_Fun_Oid(tc_HOL_Obool)),c_Quotient_OBex1__rel(T_b,V_R_2)),V_f_2)) % 197.00/197.27 <=> ? [B_x] : % 197.00/197.27 ( hBOOL(hAPP(V_f_2,B_x)) % 197.00/197.27 & ! [B_y] : % 197.00/197.27 ( hBOOL(hAPP(V_f_2,B_y)) % 197.00/197.27 => B_y = B_x ) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_pred__equals__eq,axiom, % 197.00/197.27 ! [V_S_2,V_R_2,T_b] : % 197.00/197.27 ( 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) % 197.00/197.27 <=> V_R_2 = V_S_2 ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_Ints__double__eq__0__iff,axiom, % 197.00/197.27 ! [V_a_2,T_b] : % 197.00/197.27 ( class_Int_Oring__char__0(T_b) % 197.00/197.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 197.00/197.27 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 197.00/197.27 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_override__on__def,axiom, % 197.00/197.27 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 197.00/197.27 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.00/197.27 => 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) ) % 197.00/197.27 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.00/197.27 => 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) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_Nats__add,axiom, % 197.00/197.27 ! [V_b_2,V_a_2,T_b] : % 197.00/197.27 ( class_Rings_Osemiring__1(T_b) % 197.00/197.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 197.00/197.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 197.00/197.27 => 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))) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_Nats__0,axiom, % 197.00/197.27 ! [T_b] : % 197.00/197.27 ( class_Rings_Osemiring__1(T_b) % 197.00/197.27 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_funpow_Osimps_I1_J,axiom, % 197.00/197.27 ! [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) ). % 197.00/197.27 % 197.00/197.27 fof(fact_mem__def,axiom, % 197.00/197.27 ! [V_A_2,V_x_2,T_b] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.00/197.27 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_funpow__swap1,axiom, % 197.00/197.27 ! [V_x_2,V_na_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2),hAPP(V_f_2,V_x_2)) ). % 197.00/197.27 % 197.00/197.27 fof(fact_map__fun_Oidentity,axiom, % 197.00/197.27 ! [T_c,T_b] : c_Fun_Omap__fun(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)) = c_Fun_Oid(tc_fun(T_b,T_c)) ). % 197.00/197.27 % 197.00/197.27 fof(fact_Ints__0,axiom, % 197.00/197.27 ! [T_b] : % 197.00/197.27 ( class_Rings_Oring__1(T_b) % 197.00/197.27 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_Ints__add,axiom, % 197.00/197.27 ! [V_b_2,V_a_2,T_b] : % 197.00/197.27 ( class_Rings_Oring__1(T_b) % 197.00/197.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 197.00/197.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 197.00/197.27 => 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))) ) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_override__on__apply__in,axiom, % 197.00/197.27 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 197.00/197.27 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.00/197.27 => 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) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_override__on__apply__notin,axiom, % 197.00/197.27 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 197.00/197.27 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.00/197.27 => 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) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_eq__mem__trans,axiom, % 197.00/197.27 ! [V_A_2,T_b,V_b_2,V_a_2] : % 197.00/197.27 ( V_a_2 = V_b_2 % 197.00/197.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 197.00/197.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 197.00/197.27 % 197.00/197.27 fof(fact_eqelem__imp__iff,axiom, % 197.00/197.28 ! [V_A_2,T_b,V_y_2,V_x_2] : % 197.00/197.28 ( V_x_2 = V_y_2 % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.00/197.28 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_eqset__imp__iff,axiom, % 197.00/197.28 ! [V_x_2,T_b,V_B_2,V_A_2] : % 197.00/197.28 ( V_A_2 = V_B_2 % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.00/197.28 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_eq__mem,axiom, % 197.00/197.28 ! [V_y_2,V_x_2,T_b] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2))) % 197.00/197.28 <=> V_x_2 = V_y_2 ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_funpow__code__def,axiom, % 197.00/197.28 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ). % 197.00/197.28 % 197.00/197.28 fof(fact_o__prs_I2_J,axiom, % 197.00/197.28 ! [T_i,T_h,V_Rep3_2,V_Abs3_2,V_R3_2,T_g,T_f,V_Rep2_2,V_Abs2_2,V_R2_2,T_e,T_d,V_Rep1_2,V_Abs1_2,V_R1_2,T_c,T_b] : % 197.00/197.28 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 197.00/197.28 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_Abs2_2,V_Rep2_2) % 197.00/197.28 => ( c_Quotient_OQuotient(T_f,T_g,V_R3_2,V_Abs3_2,V_Rep3_2) % 197.00/197.28 => hAPP(c_Fun_Omap__fun(tc_fun(T_h,T_i),tc_fun(T_h,T_i),tc_fun(tc_fun(T_b,T_h),tc_fun(T_b,T_i)),tc_fun(tc_fun(T_c,T_h),tc_fun(T_c,T_i)),c_Fun_Oid(tc_fun(T_h,T_i)),c_Fun_Omap__fun(tc_fun(T_c,T_h),tc_fun(T_b,T_h),tc_fun(T_b,T_i),tc_fun(T_c,T_i),c_Fun_Omap__fun(T_b,T_c,T_h,T_h,V_Abs1_2,c_Fun_Oid(T_h)),c_Fun_Omap__fun(T_c,T_b,T_i,T_i,V_Rep1_2,c_Fun_Oid(T_i)))),c_Fun_Ocomp(T_h,T_i,T_b)) = c_Fun_Ocomp(T_h,T_i,T_c) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Ints__odd__nonzero,axiom, % 197.00/197.28 ! [V_a_2,T_b] : % 197.00/197.28 ( class_Int_Oring__char__0(T_b) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 197.00/197.28 => 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) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_bex1__rsp,axiom, % 197.00/197.28 ! [V_g_2,V_f_2,V_R_2,T_b] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_b,tc_HOL_Obool,tc_HOL_Obool,V_R_2,c_fequal),V_f_2),V_g_2)) % 197.00/197.28 => ( ? [B_x] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.28 & hBOOL(hAPP(V_f_2,B_x)) % 197.00/197.28 & ! [B_y] : % 197.00/197.28 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.28 & hBOOL(hAPP(V_f_2,B_y)) ) % 197.00/197.28 => B_y = B_x ) ) % 197.00/197.28 <=> ? [B_x] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.28 & hBOOL(hAPP(V_g_2,B_x)) % 197.00/197.28 & ! [B_y] : % 197.00/197.28 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.28 & hBOOL(hAPP(V_g_2,B_y)) ) % 197.00/197.28 => B_y = B_x ) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_evaln__WHILE__case,axiom, % 197.00/197.28 ! [V_ta_2,V_na_2,V_s_2,V_c_2,V_b_2] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s_2),V_na_2),V_ta_2)) % 197.00/197.28 => ( ( V_ta_2 = V_s_2 % 197.00/197.28 => hBOOL(hAPP(V_b_2,V_s_2)) ) % 197.00/197.28 => ~ ( hBOOL(hAPP(V_b_2,V_s_2)) % 197.00/197.28 => ! [B_s1] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c_2),V_s_2),V_na_2),B_s1)) % 197.00/197.28 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_c_2)),B_s1),V_na_2),V_ta_2)) ) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_pair__box_Osize_I1_J,axiom, % 197.00/197.28 ! [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))) ). % 197.00/197.28 % 197.00/197.28 fof(fact_evalc__evaln,axiom, % 197.00/197.28 ! [V_t,V_s,V_c] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) % 197.00/197.28 => ? [B_n] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),B_n),V_t)) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_sum_Osize_I2_J,axiom, % 197.00/197.28 ! [V_b_2,V_fb_2,V_fa_2,T_c,T_b] : c_Sum__Type_Osum_Osum__size(T_b,T_c,V_fa_2,V_fb_2,hAPP(c_Sum__Type_OInr(T_c,T_b),V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fb_2,V_b_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 197.00/197.28 % 197.00/197.28 fof(fact_sum_Osize_I1_J,axiom, % 197.00/197.28 ! [V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Sum__Type_Osum_Osum__size(T_b,T_c,V_fa_2,V_fb_2,hAPP(c_Sum__Type_OInl(T_b,T_c),V_a_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osize_I16_J,axiom, % 197.00/197.28 ! [V_fun_2,V_pname_2,V_vname_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.28 % 197.00/197.28 fof(fact_one__reorient,axiom, % 197.00/197.28 ! [V_x_2,T_b] : % 197.00/197.28 ( class_Groups_Oone(T_b) % 197.00/197.28 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2 % 197.00/197.28 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_pair__box_Oinject,axiom, % 197.00/197.28 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 197.00/197.28 ( 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) % 197.00/197.28 <=> ( V_a_2 = V_a_H_2 % 197.00/197.28 & V_b_2 = V_b_H_2 ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Respects__def,axiom, % 197.00/197.28 ! [V_x_2,V_R_2,T_b] : % 197.00/197.28 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2)) % 197.00/197.28 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osimps_I7_J,axiom, % 197.00/197.28 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_fun_2,V_pname_2,V_vname_2] : % 197.00/197.28 ( c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2) = c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) % 197.00/197.28 <=> ( V_vname_2 = V_vname_H_2 % 197.00/197.28 & V_pname_2 = V_pname_H_2 % 197.00/197.28 & V_fun_2 = V_fun_H_2 ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_o__eq__elim,axiom, % 197.00/197.28 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 197.00/197.28 ( hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_c,T_b),V_c_2),V_d_2) % 197.00/197.28 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_o__eq__dest,axiom, % 197.00/197.28 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 197.00/197.28 ( hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_c,T_b),V_c_2),V_d_2) % 197.00/197.28 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_o__apply,axiom, % 197.00/197.28 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(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)) ). % 197.00/197.28 % 197.00/197.28 fof(fact_o__assoc,axiom, % 197.00/197.28 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_b),V_f_2),hAPP(hAPP(c_Fun_Ocomp(T_e,T_d,T_b),V_g_2),V_h_2)) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_c,T_b),hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_e),V_f_2),V_g_2)),V_h_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_map__fun_Ocomp,axiom, % 197.00/197.28 ! [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(hAPP(c_Fun_Ocomp(tc_fun(T_f,T_g),tc_fun(T_d,T_e),tc_fun(T_b,T_c)),c_Fun_Omap__fun(T_d,T_f,T_g,T_e,V_f_2,V_g_2)),c_Fun_Omap__fun(T_f,T_b,T_c,T_g,V_h_2,V_i_2)) = c_Fun_Omap__fun(T_d,T_b,T_c,T_e,hAPP(hAPP(c_Fun_Ocomp(T_f,T_b,T_d),V_h_2),V_f_2),hAPP(hAPP(c_Fun_Ocomp(T_g,T_e,T_c),V_g_2),V_i_2)) ). % 197.00/197.28 % 197.00/197.28 fof(fact_o__def,axiom, % 197.00/197.28 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(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)) ). % 197.00/197.28 % 197.00/197.28 fof(fact_id__o,axiom, % 197.00/197.28 ! [V_g_2,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_b),c_Fun_Oid(T_c)),V_g_2) = V_g_2 ). % 197.00/197.28 % 197.00/197.28 fof(fact_o__id,axiom, % 197.00/197.28 ! [V_f_2,T_c,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_c,T_b),V_f_2),c_Fun_Oid(T_b)) = V_f_2 ). % 197.00/197.28 % 197.00/197.28 fof(fact_comp__funpow,axiom, % 197.00/197.28 ! [V_f_2,V_na_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_na_2),hAPP(c_Fun_Ocomp(T_c,T_c,T_b),V_f_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b),hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_na_2),V_f_2)) ). % 197.00/197.28 % 197.00/197.28 fof(fact_map__fun__def,axiom, % 197.00/197.28 ! [V_h_2,V_g_2,V_f_2,T_c,T_e,T_d,T_b] : hAPP(c_Fun_Omap__fun(T_b,T_d,T_e,T_c,V_f_2,V_g_2),V_h_2) = hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_b),hAPP(hAPP(c_Fun_Ocomp(T_e,T_c,T_d),V_g_2),V_h_2)),V_f_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_map__fun_Ocompositionality,axiom, % 197.00/197.28 ! [V_fun_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_d,T_b] : hAPP(c_Fun_Omap__fun(T_b,T_d,T_e,T_c,V_f_2,V_g_2),hAPP(c_Fun_Omap__fun(T_d,T_f,T_g,T_e,V_h_2,V_i_2),V_fun_2)) = hAPP(c_Fun_Omap__fun(T_b,T_f,T_g,T_c,hAPP(hAPP(c_Fun_Ocomp(T_d,T_f,T_b),V_h_2),V_f_2),hAPP(hAPP(c_Fun_Ocomp(T_e,T_c,T_g),V_g_2),V_i_2)),V_fun_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_o__rsp_I2_J,axiom, % 197.00/197.28 ! [V_R1_2,T_e,T_d,T_c,T_b] : hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(tc_fun(T_b,T_c),tc_fun(T_b,T_c),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_c)),tc_fun(tc_fun(T_e,T_b),tc_fun(T_e,T_c)),c_fequal,c_Quotient_Ofun__rel(tc_fun(T_d,T_b),tc_fun(T_e,T_b),tc_fun(T_d,T_c),tc_fun(T_e,T_c),c_Quotient_Ofun__rel(T_d,T_e,T_b,T_b,V_R1_2,c_fequal),c_Quotient_Ofun__rel(T_d,T_e,T_c,T_c,V_R1_2,c_fequal))),c_Fun_Ocomp(T_b,T_c,T_d)),c_Fun_Ocomp(T_b,T_c,T_e))) ). % 197.00/197.28 % 197.00/197.28 fof(fact_o__rsp_I1_J,axiom, % 197.00/197.28 ! [V_R1_2,V_R3_2,V_R2_2,T_g,T_f,T_e,T_d,T_c,T_b] : hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(tc_fun(T_b,T_c),tc_fun(T_d,T_e),tc_fun(tc_fun(T_f,T_b),tc_fun(T_f,T_c)),tc_fun(tc_fun(T_g,T_d),tc_fun(T_g,T_e)),c_Quotient_Ofun__rel(T_b,T_d,T_c,T_e,V_R2_2,V_R3_2),c_Quotient_Ofun__rel(tc_fun(T_f,T_b),tc_fun(T_g,T_d),tc_fun(T_f,T_c),tc_fun(T_g,T_e),c_Quotient_Ofun__rel(T_f,T_g,T_b,T_d,V_R1_2,V_R2_2),c_Quotient_Ofun__rel(T_f,T_g,T_c,T_e,V_R1_2,V_R3_2))),c_Fun_Ocomp(T_b,T_c,T_f)),c_Fun_Ocomp(T_d,T_e,T_g))) ). % 197.00/197.28 % 197.00/197.28 fof(fact_in__respects,axiom, % 197.00/197.28 ! [V_R_2,V_x_2,T_b] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.28 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osimps_I62_J,axiom, % 197.00/197.28 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_pname_2] : hAPP(c_Com_Ocom_OBODY,V_pname_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osimps_I63_J,axiom, % 197.00/197.28 ! [V_pname_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != hAPP(c_Com_Ocom_OBODY,V_pname_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osimps_I61_J,axiom, % 197.00/197.28 ! [V_com_2,V_fun_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osimps_I60_J,axiom, % 197.00/197.28 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osimps_I57_J,axiom, % 197.00/197.28 ! [V_com2_2,V_com1_2,V_fun_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osimps_I56_J,axiom, % 197.00/197.28 ! [V_fun_H_2,V_pname_H_2,V_vname_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_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osimps_I50_J,axiom, % 197.00/197.28 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osimps_I51_J,axiom, % 197.00/197.28 ! [V_com2_2,V_com1_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osimps_I42_J,axiom, % 197.00/197.28 ! [V_fun_H_2,V_pname_H_2,V_vname_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_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osimps_I43_J,axiom, % 197.00/197.28 ! [V_com_2,V_fun_2,V_loc_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osimps_I20_J,axiom, % 197.00/197.28 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osimps_I21_J,axiom, % 197.00/197.28 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OSKIP ). % 197.00/197.28 % 197.00/197.28 fof(fact_Bex1__rel__def,axiom, % 197.00/197.28 ! [V_P_2,V_R_2,T_b] : % 197.00/197.28 ( hBOOL(hAPP(c_Quotient_OBex1__rel(T_b,V_R_2),V_P_2)) % 197.00/197.28 <=> ( ? [B_x] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.28 & hBOOL(hAPP(V_P_2,B_x)) ) % 197.00/197.28 & ! [B_x] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.28 => ! [B_xa] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.28 => ( ( hBOOL(hAPP(V_P_2,B_x)) % 197.00/197.28 & hBOOL(hAPP(V_P_2,B_xa)) ) % 197.00/197.28 => hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_funpow_Osimps_I2_J,axiom, % 197.00/197.28 ! [V_f_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_na_2)),V_f_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_b,T_b),V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2)) ). % 197.00/197.28 % 197.00/197.28 fof(fact_funpow__add,axiom, % 197.00/197.28 ! [V_f_2,V_na_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_na_2)),V_f_2) = hAPP(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_na_2),V_f_2)) ). % 197.00/197.28 % 197.00/197.28 fof(fact_abs__o__rep,axiom, % 197.00/197.28 ! [V_Rep_2,V_Abs_2,V_R_2,T_c,T_b] : % 197.00/197.28 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_Abs_2,V_Rep_2) % 197.00/197.28 => hAPP(hAPP(c_Fun_Ocomp(T_b,T_c,T_c),V_Abs_2),V_Rep_2) = c_Fun_Oid(T_c) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_One__nat__def,axiom, % 197.00/197.28 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 197.00/197.28 % 197.00/197.28 fof(fact_o__prs_I1_J,axiom, % 197.00/197.28 ! [V_Rep3_2,V_Abs3_2,V_R3_2,T_g,T_f,V_Rep2_2,V_Abs2_2,V_R2_2,T_e,T_d,V_Rep1_2,V_Abs1_2,V_R1_2,T_c,T_b] : % 197.00/197.28 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 197.00/197.28 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_Abs2_2,V_Rep2_2) % 197.00/197.28 => ( c_Quotient_OQuotient(T_f,T_g,V_R3_2,V_Abs3_2,V_Rep3_2) % 197.00/197.28 => hAPP(c_Fun_Omap__fun(tc_fun(T_e,T_g),tc_fun(T_d,T_f),tc_fun(tc_fun(T_b,T_d),tc_fun(T_b,T_f)),tc_fun(tc_fun(T_c,T_e),tc_fun(T_c,T_g)),c_Fun_Omap__fun(T_d,T_e,T_g,T_f,V_Abs2_2,V_Rep3_2),c_Fun_Omap__fun(tc_fun(T_c,T_e),tc_fun(T_b,T_d),tc_fun(T_b,T_f),tc_fun(T_c,T_g),c_Fun_Omap__fun(T_b,T_c,T_e,T_d,V_Abs1_2,V_Rep2_2),c_Fun_Omap__fun(T_c,T_b,T_f,T_g,V_Rep1_2,V_Abs3_2))),c_Fun_Ocomp(T_d,T_f,T_b)) = c_Fun_Ocomp(T_e,T_g,T_c) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Suc__eq__plus1__left,axiom, % 197.00/197.28 ! [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) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Suc__eq__plus1,axiom, % 197.00/197.28 ! [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)) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Ints__1,axiom, % 197.00/197.28 ! [T_b] : % 197.00/197.28 ( class_Rings_Oring__1(T_b) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Nats__1,axiom, % 197.00/197.28 ! [T_b] : % 197.00/197.28 ( class_Rings_Osemiring__1(T_b) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_com_Osize_I8_J,axiom, % 197.00/197.28 ! [V_fun_2,V_pname_2,V_vname_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.28 % 197.00/197.28 fof(fact_pair__box_Osize_I2_J,axiom, % 197.00/197.28 ! [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) ). % 197.00/197.28 % 197.00/197.28 fof(fact_pair__box_Orecs,axiom, % 197.00/197.28 ! [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) ). % 197.00/197.28 % 197.00/197.28 fof(fact_pair__box_Osimps_I2_J,axiom, % 197.00/197.28 ! [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) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Inl__not__Inr,axiom, % 197.00/197.28 ! [V_b,V_a,T_b,T_a] : hAPP(c_Sum__Type_OInl(T_a,T_b),V_a) != hAPP(c_Sum__Type_OInr(T_b,T_a),V_b) ). % 197.00/197.28 % 197.00/197.28 fof(fact_sum_Osimps_I3_J,axiom, % 197.00/197.28 ! [V_b_H,V_a,T_b,T_a] : hAPP(c_Sum__Type_OInl(T_a,T_b),V_a) != hAPP(c_Sum__Type_OInr(T_b,T_a),V_b_H) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Inr__not__Inl,axiom, % 197.00/197.28 ! [V_a,V_b,T_a,T_b] : hAPP(c_Sum__Type_OInr(T_b,T_a),V_b) != hAPP(c_Sum__Type_OInl(T_a,T_b),V_a) ). % 197.00/197.28 % 197.00/197.28 fof(fact_sum_Osimps_I4_J,axiom, % 197.00/197.28 ! [V_a_1,V_b_H_1,T_a_1,T_b_1] : hAPP(c_Sum__Type_OInr(T_b_1,T_a_1),V_b_H_1) != hAPP(c_Sum__Type_OInl(T_a_1,T_b_1),V_a_1) ). % 197.00/197.28 % 197.00/197.28 fof(fact_sum_Osize_I3_J,axiom, % 197.00/197.28 ! [V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_sum(T_a,T_b)),hAPP(c_Sum__Type_OInl(T_a,T_b),V_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.28 % 197.00/197.28 fof(fact_o__eq__id__dest,axiom, % 197.00/197.28 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 197.00/197.28 ( hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_b),c_Fun_Oid(T_c)),V_c_2) % 197.00/197.28 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_sum_Osize_I4_J,axiom, % 197.00/197.28 ! [V_b,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_sum(T_a,T_b)),hAPP(c_Sum__Type_OInr(T_b,T_a),V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.00/197.28 % 197.00/197.28 fof(fact_babs__simp,axiom, % 197.00/197.28 ! [V_g_2,V_f_2,V_R2_2,T_e,T_d,V_Rep_2,V_Abs_2,V_R1_2,T_c,T_b] : % 197.00/197.28 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs_2,V_Rep_2) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_b,T_d,T_e,V_R1_2,V_R2_2),c_Quotient_OBabs(T_b,T_d,c_Quotient_ORespects(T_b,V_R1_2),V_f_2)),c_Quotient_OBabs(T_b,T_e,c_Quotient_ORespects(T_b,V_R1_2),V_g_2))) % 197.00/197.28 <=> hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_b,T_d,T_e,V_R1_2,V_R2_2),V_f_2),V_g_2)) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Babs__def,axiom, % 197.00/197.28 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2)) % 197.00/197.28 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_o__eq__dest__lhs,axiom, % 197.00/197.28 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 197.00/197.28 ( hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_b),V_a_2),V_b_2) = V_c_2 % 197.00/197.28 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Inr__inject,axiom, % 197.00/197.28 ! [V_y,V_x,T_a,T_b] : % 197.00/197.28 ( hAPP(c_Sum__Type_OInr(T_b,T_a),V_x) = hAPP(c_Sum__Type_OInr(T_b,T_a),V_y) % 197.00/197.28 => V_x = V_y ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_sum_Osimps_I2_J,axiom, % 197.00/197.28 ! [V_b_H_2,V_b_2,T_b,T_c] : % 197.00/197.28 ( hAPP(c_Sum__Type_OInr(T_c,T_b),V_b_2) = hAPP(c_Sum__Type_OInr(T_c,T_b),V_b_H_2) % 197.00/197.28 <=> V_b_2 = V_b_H_2 ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Inl__inject,axiom, % 197.00/197.28 ! [V_y,V_x,T_b,T_a] : % 197.00/197.28 ( hAPP(c_Sum__Type_OInl(T_a,T_b),V_x) = hAPP(c_Sum__Type_OInl(T_a,T_b),V_y) % 197.00/197.28 => V_x = V_y ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_sum_Osimps_I1_J,axiom, % 197.00/197.28 ! [V_a_H_2,V_a_2,T_c,T_b] : % 197.00/197.28 ( hAPP(c_Sum__Type_OInl(T_b,T_c),V_a_2) = hAPP(c_Sum__Type_OInl(T_b,T_c),V_a_H_2) % 197.00/197.28 <=> V_a_2 = V_a_H_2 ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_K__record__comp,axiom, % 197.00/197.28 ! [V_x_2,V_f_2,V_c_2,T_d,T_b,T_c] : hAPP(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 ). % 197.00/197.28 % 197.00/197.28 fof(fact_babs__prs,axiom, % 197.00/197.28 ! [V_f_2,V_Rep2_2,V_Abs2_2,V_R2_2,T_e,T_d,V_Rep1_2,V_Abs1_2,V_R1_2,T_c,T_b] : % 197.00/197.28 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 197.00/197.28 => ( c_Quotient_OQuotient(T_d,T_e,V_R2_2,V_Abs2_2,V_Rep2_2) % 197.00/197.28 => hAPP(c_Fun_Omap__fun(T_c,T_b,T_d,T_e,V_Rep1_2,V_Abs2_2),c_Quotient_OBabs(T_b,T_d,c_Quotient_ORespects(T_b,V_R1_2),hAPP(c_Fun_Omap__fun(T_b,T_c,T_e,T_d,V_Abs1_2,V_Rep2_2),V_f_2))) = V_f_2 ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_babs__rsp,axiom, % 197.00/197.28 ! [V_g_2,V_f_2,V_R2_2,T_e,T_d,V_Rep1_2,V_Abs1_2,V_R1_2,T_c,T_b] : % 197.00/197.28 ( c_Quotient_OQuotient(T_b,T_c,V_R1_2,V_Abs1_2,V_Rep1_2) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_b,T_d,T_e,V_R1_2,V_R2_2),V_f_2),V_g_2)) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_b,T_d,T_e,V_R1_2,V_R2_2),c_Quotient_OBabs(T_b,T_d,c_Quotient_ORespects(T_b,V_R1_2),V_f_2)),c_Quotient_OBabs(T_b,T_e,c_Quotient_ORespects(T_b,V_R1_2),V_g_2))) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Projl_Osimps,axiom, % 197.00/197.28 ! [V_x,T_b,T_a] : c_Sum__Type_OProjl(T_a,T_b,hAPP(c_Sum__Type_OInl(T_a,T_b),V_x)) = V_x ). % 197.00/197.28 % 197.00/197.28 fof(fact_Projr_Osimps,axiom, % 197.00/197.28 ! [V_x,T_b,T_a] : c_Sum__Type_OProjr(T_a,T_b,hAPP(c_Sum__Type_OInr(T_b,T_a),V_x)) = V_x ). % 197.00/197.28 % 197.00/197.28 fof(fact_zero__neq__one,axiom, % 197.00/197.28 ! [T_a] : % 197.00/197.28 ( class_Rings_Ozero__neq__one(T_a) % 197.00/197.28 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_one__neq__zero,axiom, % 197.00/197.28 ! [T_a] : % 197.00/197.28 ( class_Rings_Ozero__neq__one(T_a) % 197.00/197.28 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_all__prs,axiom, % 197.00/197.28 ! [V_f_2,V_repf_2,V_absf_2,V_R_2,T_c,T_b] : % 197.00/197.28 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_absf_2,V_repf_2) % 197.00/197.28 => ( ! [B_x] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_Fun_Omap__fun(T_b,T_c,tc_HOL_Obool,tc_HOL_Obool,V_absf_2,c_Fun_Oid(tc_HOL_Obool)),V_f_2),B_x)) ) % 197.00/197.28 <=> ! [B_x1] : hBOOL(hAPP(V_f_2,B_x1)) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_sum_Orecs_I1_J,axiom, % 197.00/197.28 ! [V_a_2,V_f2_2,V_f1_2,T_d,T_b,T_c] : c_Sum__Type_Osum_Osum__rec(T_c,T_b,T_d,V_f1_2,V_f2_2,hAPP(c_Sum__Type_OInl(T_c,T_d),V_a_2)) = hAPP(V_f1_2,V_a_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_sum_Orecs_I2_J,axiom, % 197.00/197.28 ! [V_b_2,V_f2_2,V_f1_2,T_d,T_b,T_c] : c_Sum__Type_Osum_Osum__rec(T_c,T_b,T_d,V_f1_2,V_f2_2,hAPP(c_Sum__Type_OInr(T_d,T_c),V_b_2)) = hAPP(V_f2_2,V_b_2) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Ints__odd__less__0,axiom, % 197.00/197.28 ! [V_a_2,T_b] : % 197.00/197.28 ( class_Rings_Olinordered__idom(T_b) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 197.00/197.28 => ( 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))) % 197.00/197.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 197.00/197.28 ! [V_na_2,T_b] : % 197.00/197.28 ( class_Rings_Osemiring__1(T_b) % 197.00/197.28 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_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_na_2,c_Groups_Ozero__class_Ozero(T_b)) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_InlI,axiom, % 197.00/197.28 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_member(tc_sum(T_b,T_c)),hAPP(c_Sum__Type_OInl(T_b,T_c),V_a_2)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_less__zeroE,axiom, % 197.00/197.28 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 197.00/197.28 % 197.00/197.28 fof(fact_Suc__mono,axiom, % 197.00/197.28 ! [V_n,V_m] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_lessI,axiom, % 197.00/197.28 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 197.00/197.28 % 197.00/197.28 fof(fact_zero__less__Suc,axiom, % 197.00/197.28 ! [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))) ). % 197.00/197.28 % 197.00/197.28 fof(fact_InrI,axiom, % 197.00/197.28 ! [V_A_2,T_c,V_B_2,V_b_2,T_b] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2)) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_member(tc_sum(T_c,T_b)),hAPP(c_Sum__Type_OInr(T_b,T_c),V_b_2)),c_Sum__Type_OPlus(T_c,T_b,V_A_2,V_B_2))) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_zero__less__int__conv,axiom, % 197.00/197.28 ! [V_na_2] : % 197.00/197.28 ( 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_na_2))) % 197.00/197.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_linorder__neqE__linordered__idom,axiom, % 197.00/197.28 ! [V_y,V_x,T_a] : % 197.00/197.28 ( class_Rings_Olinordered__idom(T_a) % 197.00/197.28 => ( V_x != V_y % 197.00/197.28 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_of__nat__less__imp__less,axiom, % 197.00/197.28 ! [V_n,V_m,T_a] : % 197.00/197.28 ( class_Rings_Olinordered__semidom(T_a) % 197.00/197.28 => ( 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))) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_less__imp__of__nat__less,axiom, % 197.00/197.28 ! [V_n,V_m,T_a] : % 197.00/197.28 ( class_Rings_Olinordered__semidom(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.00/197.28 => 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))) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_of__nat__less__iff,axiom, % 197.00/197.28 ! [V_na_2,V_m_2,T_b] : % 197.00/197.28 ( class_Rings_Olinordered__semidom(T_b) % 197.00/197.28 => ( 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_na_2))) % 197.00/197.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_of__nat__eq__iff,axiom, % 197.00/197.28 ! [V_na_2,V_m_2,T_b] : % 197.00/197.28 ( class_Nat_Osemiring__char__0(T_b) % 197.00/197.28 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2) % 197.00/197.28 <=> V_m_2 = V_na_2 ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_linorder__cases,axiom, % 197.00/197.28 ! [V_y,V_x,T_a] : % 197.00/197.28 ( class_Orderings_Olinorder(T_a) % 197.00/197.28 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.28 => ( V_x != V_y % 197.00/197.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_order__less__asym,axiom, % 197.00/197.28 ! [V_y,V_x,T_a] : % 197.00/197.28 ( class_Orderings_Opreorder(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.28 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_xt1_I10_J,axiom, % 197.00/197.28 ! [V_z,V_x,V_y,T_a] : % 197.00/197.28 ( class_Orderings_Oorder(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_order__less__trans,axiom, % 197.00/197.28 ! [V_z,V_y,V_x,T_a] : % 197.00/197.28 ( class_Orderings_Opreorder(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_xt1_I2_J,axiom, % 197.00/197.28 ! [V_c,V_a,V_b,T_a] : % 197.00/197.28 ( class_Orderings_Oorder(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 197.00/197.28 => ( V_b = V_c % 197.00/197.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_ord__less__eq__trans,axiom, % 197.00/197.28 ! [V_c,V_b,V_a,T_a] : % 197.00/197.28 ( class_Orderings_Oord(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.00/197.28 => ( V_b = V_c % 197.00/197.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_xt1_I1_J,axiom, % 197.00/197.28 ! [V_c,V_b,V_a,T_a] : % 197.00/197.28 ( class_Orderings_Oorder(T_a) % 197.00/197.28 => ( V_a = V_b % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_ord__eq__less__trans,axiom, % 197.00/197.28 ! [V_c,V_b,V_a,T_a] : % 197.00/197.28 ( class_Orderings_Oord(T_a) % 197.00/197.28 => ( V_a = V_b % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_xt1_I9_J,axiom, % 197.00/197.28 ! [V_a,V_b,T_a] : % 197.00/197.28 ( class_Orderings_Oorder(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 197.00/197.28 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_order__less__asym_H,axiom, % 197.00/197.28 ! [V_b,V_a,T_a] : % 197.00/197.28 ( class_Orderings_Opreorder(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.00/197.28 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_order__less__imp__not__eq2,axiom, % 197.00/197.28 ! [V_y,V_x,T_a] : % 197.00/197.28 ( class_Orderings_Oorder(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.28 => V_y != V_x ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_order__less__imp__not__eq,axiom, % 197.00/197.28 ! [V_y,V_x,T_a] : % 197.00/197.28 ( class_Orderings_Oorder(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.28 => V_x != V_y ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_order__less__imp__not__less,axiom, % 197.00/197.28 ! [V_y,V_x,T_a] : % 197.00/197.28 ( class_Orderings_Opreorder(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.28 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_order__less__not__sym,axiom, % 197.00/197.28 ! [V_y,V_x,T_a] : % 197.00/197.28 ( class_Orderings_Opreorder(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.28 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_less__imp__neq,axiom, % 197.00/197.28 ! [V_y,V_x,T_a] : % 197.00/197.28 ( class_Orderings_Oorder(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.28 => V_x != V_y ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_linorder__neqE,axiom, % 197.00/197.28 ! [V_y,V_x,T_a] : % 197.00/197.28 ( class_Orderings_Olinorder(T_a) % 197.00/197.28 => ( V_x != V_y % 197.00/197.28 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_linorder__antisym__conv3,axiom, % 197.00/197.28 ! [V_x_2,V_y_2,T_b] : % 197.00/197.28 ( class_Orderings_Olinorder(T_b) % 197.00/197.28 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 197.00/197.28 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 197.00/197.28 <=> V_x_2 = V_y_2 ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_linorder__less__linear,axiom, % 197.00/197.28 ! [V_y,V_x,T_a] : % 197.00/197.28 ( class_Orderings_Olinorder(T_a) % 197.00/197.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.28 | V_x = V_y % 197.00/197.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_not__less__iff__gr__or__eq,axiom, % 197.00/197.28 ! [V_y_2,V_x_2,T_b] : % 197.00/197.28 ( class_Orderings_Olinorder(T_b) % 197.00/197.28 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 197.00/197.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 197.00/197.28 | V_x_2 = V_y_2 ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_linorder__neq__iff,axiom, % 197.00/197.28 ! [V_y_2,V_x_2,T_b] : % 197.00/197.28 ( class_Orderings_Olinorder(T_b) % 197.00/197.28 => ( V_x_2 != V_y_2 % 197.00/197.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 197.00/197.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_order__less__irrefl,axiom, % 197.00/197.28 ! [V_x,T_a] : % 197.00/197.28 ( class_Orderings_Opreorder(T_a) % 197.00/197.28 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_of__nat__less__0__iff,axiom, % 197.00/197.28 ! [V_m,T_a] : % 197.00/197.28 ( class_Rings_Olinordered__semidom(T_a) % 197.00/197.28 => ~ 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))) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_zless__iff__Suc__zadd,axiom, % 197.00/197.28 ! [V_z_2,V_w_2] : % 197.00/197.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 197.00/197.28 <=> ? [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))) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_of__nat__0__less__iff,axiom, % 197.00/197.28 ! [V_na_2,T_b] : % 197.00/197.28 ( class_Rings_Olinordered__semidom(T_b) % 197.00/197.28 => ( 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_na_2))) % 197.00/197.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_int__eq__0__conv,axiom, % 197.00/197.28 ! [V_na_2] : % 197.00/197.28 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.00/197.28 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 197.00/197.28 % 197.00/197.28 fof(fact_int__0,axiom, % 197.00/197.28 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) ). % 197.00/197.28 % 197.00/197.28 fof(fact_int__Suc,axiom, % 197.00/197.28 ! [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)) ). % 197.00/197.28 % 197.00/197.28 fof(fact_zadd__int__left,axiom, % 197.00/197.28 ! [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) ). % 197.00/197.28 % 197.00/197.28 fof(fact_zadd__int,axiom, % 197.00/197.29 ! [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)) ). % 197.00/197.29 % 197.00/197.29 fof(fact_psubsetD,axiom, % 197.00/197.29 ! [V_c_2,V_B_2,V_A_2,T_b] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_add__less__imp__less__left,axiom, % 197.00/197.29 ! [V_b,V_a,V_c,T_a] : % 197.00/197.29 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 197.00/197.29 => ( 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))) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_add__less__imp__less__right,axiom, % 197.00/197.29 ! [V_b,V_c,V_a,T_a] : % 197.00/197.29 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 197.00/197.29 => ( 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))) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_add__strict__mono,axiom, % 197.00/197.29 ! [V_d,V_c,V_b,V_a,T_a] : % 197.00/197.29 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 197.00/197.29 => 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))) ) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_add__strict__left__mono,axiom, % 197.00/197.29 ! [V_c,V_b,V_a,T_a] : % 197.00/197.29 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.00/197.29 => 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))) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_add__strict__right__mono,axiom, % 197.00/197.29 ! [V_c,V_b,V_a,T_a] : % 197.00/197.29 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.00/197.29 => 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))) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_add__less__cancel__left,axiom, % 197.00/197.29 ! [V_b_2,V_a_2,V_c_2,T_b] : % 197.00/197.29 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 197.00/197.29 => ( 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))) % 197.00/197.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_add__less__cancel__right,axiom, % 197.00/197.29 ! [V_b_2,V_c_2,V_a_2,T_b] : % 197.00/197.29 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 197.00/197.29 => ( 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))) % 197.00/197.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_int__1,axiom, % 197.00/197.29 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) ). % 197.00/197.29 % 197.00/197.29 fof(fact_gr0I,axiom, % 197.00/197.29 ! [V_n] : % 197.00/197.29 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_gr__implies__not0,axiom, % 197.00/197.29 ! [V_n,V_m] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.00/197.29 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__nat__zero__code,axiom, % 197.00/197.29 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 197.00/197.29 % 197.00/197.29 fof(fact_neq0__conv,axiom, % 197.00/197.29 ! [V_na_2] : % 197.00/197.29 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.00/197.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_not__less0,axiom, % 197.00/197.29 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 197.00/197.29 % 197.00/197.29 fof(fact_Suc__less__SucD,axiom, % 197.00/197.29 ! [V_n,V_m] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_Suc__lessD,axiom, % 197.00/197.29 ! [V_n,V_m] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__SucE,axiom, % 197.00/197.29 ! [V_n,V_m] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 197.00/197.29 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.00/197.29 => V_m = V_n ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__trans__Suc,axiom, % 197.00/197.29 ! [V_k,V_j,V_i] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_Suc__lessI,axiom, % 197.00/197.29 ! [V_n,V_m] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.00/197.29 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 197.00/197.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__SucI,axiom, % 197.00/197.29 ! [V_n,V_m] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__antisym,axiom, % 197.00/197.29 ! [V_m,V_n] : % 197.00/197.29 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 197.00/197.29 => V_m = V_n ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_not__less__less__Suc__eq,axiom, % 197.00/197.29 ! [V_m_2,V_na_2] : % 197.00/197.29 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) % 197.00/197.29 <=> V_na_2 = V_m_2 ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_Suc__less__eq,axiom, % 197.00/197.29 ! [V_na_2,V_m_2] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_na_2))) % 197.00/197.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__Suc__eq,axiom, % 197.00/197.29 ! [V_na_2,V_m_2] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 197.00/197.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 197.00/197.29 | V_m_2 = V_na_2 ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_not__less__eq,axiom, % 197.00/197.29 ! [V_na_2,V_m_2] : % 197.00/197.29 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 197.00/197.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_add__lessD1,axiom, % 197.00/197.29 ! [V_k,V_j,V_i] : % 197.00/197.29 ( 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)) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__add__eq__less,axiom, % 197.00/197.29 ! [V_n,V_m,V_l,V_k] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 197.00/197.29 => ( 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) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_add__less__mono,axiom, % 197.00/197.29 ! [V_l,V_k,V_j,V_i] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 197.00/197.29 => 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))) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_add__less__mono1,axiom, % 197.00/197.29 ! [V_k,V_j,V_i] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 197.00/197.29 => 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))) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_trans__less__add2,axiom, % 197.00/197.29 ! [V_m,V_j,V_i] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 197.00/197.29 => 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))) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_trans__less__add1,axiom, % 197.00/197.29 ! [V_m,V_j,V_i] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 197.00/197.29 => 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))) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_nat__add__left__cancel__less,axiom, % 197.00/197.29 ! [V_na_2,V_m_2,V_k_2] : % 197.00/197.29 ( 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_na_2))) % 197.00/197.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_not__add__less2,axiom, % 197.00/197.29 ! [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)) ). % 197.00/197.29 % 197.00/197.29 fof(fact_not__add__less1,axiom, % 197.00/197.29 ! [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)) ). % 197.00/197.29 % 197.00/197.29 fof(fact_pos__add__strict,axiom, % 197.00/197.29 ! [V_c,V_b,V_a,T_a] : % 197.00/197.29 ( class_Rings_Olinordered__semidom(T_a) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 197.00/197.29 => 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))) ) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_not__one__less__zero,axiom, % 197.00/197.29 ! [T_a] : % 197.00/197.29 ( class_Rings_Olinordered__semidom(T_a) % 197.00/197.29 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_zero__less__one,axiom, % 197.00/197.29 ! [T_a] : % 197.00/197.29 ( class_Rings_Olinordered__semidom(T_a) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__add__one,axiom, % 197.00/197.29 ! [V_a,T_a] : % 197.00/197.29 ( class_Rings_Olinordered__semidom(T_a) % 197.00/197.29 => 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)))) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_not__less__Least,axiom, % 197.00/197.29 ! [V_P_2,V_k_2,T_b] : % 197.00/197.29 ( class_Orderings_Owellorder(T_b) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),hAPP(c_Orderings_Oord__class_OLeast(T_b),V_P_2))) % 197.00/197.29 => ~ hBOOL(hAPP(V_P_2,V_k_2)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_int__Suc0__eq__1,axiom, % 197.00/197.29 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) ). % 197.00/197.29 % 197.00/197.29 fof(fact_zero__less__two,axiom, % 197.00/197.29 ! [T_a] : % 197.00/197.29 ( class_Rings_Olinordered__semidom(T_a) % 197.00/197.29 => 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)))) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_add__neg__neg,axiom, % 197.00/197.29 ! [V_b,V_a,T_a] : % 197.00/197.29 ( class_Groups_Oordered__comm__monoid__add(T_a) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 197.00/197.29 => 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))) ) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_add__pos__pos,axiom, % 197.00/197.29 ! [V_b,V_a,T_a] : % 197.00/197.29 ( class_Groups_Oordered__comm__monoid__add(T_a) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.00/197.29 => 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))) ) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 197.00/197.29 ! [V_a_2,T_b] : % 197.00/197.29 ( class_Groups_Olinordered__ab__group__add(T_b) % 197.00/197.29 => ( 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))) % 197.00/197.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 197.00/197.29 ! [V_a_2,T_b] : % 197.00/197.29 ( class_Groups_Olinordered__ab__group__add(T_b) % 197.00/197.29 => ( 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))) % 197.00/197.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_even__less__0__iff,axiom, % 197.00/197.29 ! [V_a_2,T_b] : % 197.00/197.29 ( class_Rings_Olinordered__idom(T_b) % 197.00/197.29 => ( 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))) % 197.00/197.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_of__nat__0,axiom, % 197.00/197.29 ! [T_a] : % 197.00/197.29 ( class_Rings_Osemiring__1(T_a) % 197.00/197.29 => 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) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_of__nat__add,axiom, % 197.00/197.29 ! [V_n,V_m,T_a] : % 197.00/197.29 ( class_Rings_Osemiring__1(T_a) % 197.00/197.29 => 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)) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_gr0__conv__Suc,axiom, % 197.00/197.29 ! [V_na_2] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 197.00/197.29 <=> ? [B_m] : V_na_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__Suc0,axiom, % 197.00/197.29 ! [V_na_2] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) % 197.00/197.29 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__Suc__eq__0__disj,axiom, % 197.00/197.29 ! [V_na_2,V_m_2] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 197.00/197.29 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.00/197.29 | ? [B_j] : % 197.00/197.29 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 197.00/197.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_na_2)) ) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_add__gr__0,axiom, % 197.00/197.29 ! [V_na_2,V_m_2] : % 197.00/197.29 ( 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_na_2))) % 197.00/197.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 197.00/197.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__add__Suc1,axiom, % 197.00/197.29 ! [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)))) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__add__Suc2,axiom, % 197.00/197.29 ! [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)))) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__iff__Suc__add,axiom, % 197.00/197.29 ! [V_na_2,V_m_2] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 197.00/197.29 <=> ? [B_k] : V_na_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_of__nat__1,axiom, % 197.00/197.29 ! [T_a] : % 197.00/197.29 ( class_Rings_Osemiring__1(T_a) % 197.00/197.29 => 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) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_Ints__of__nat,axiom, % 197.00/197.29 ! [V_na_2,T_b] : % 197.00/197.29 ( class_Rings_Oring__1(T_b) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_of__nat__in__Nats,axiom, % 197.00/197.29 ! [V_na_2,T_b] : % 197.00/197.29 ( class_Rings_Osemiring__1(T_b) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_ball__rsp,axiom, % 197.00/197.29 ! [V_g_2,V_f_2,V_R_2,T_b] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_b,tc_HOL_Obool,tc_HOL_Obool,V_R_2,c_fequal),V_f_2),V_g_2)) % 197.00/197.29 => ( ! [B_x] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.29 => hBOOL(hAPP(V_f_2,B_x)) ) % 197.00/197.29 <=> ! [B_x] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.29 => hBOOL(hAPP(V_g_2,B_x)) ) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_of__nat__Suc,axiom, % 197.00/197.29 ! [V_m,T_a] : % 197.00/197.29 ( class_Rings_Osemiring__1(T_a) % 197.00/197.29 => 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)) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_hoare__valids__def,axiom, % 197.00/197.29 ! [V_ts_2,V_G_2,T_b] : % 197.00/197.29 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_G_2,V_ts_2) % 197.00/197.29 <=> ! [B_n] : % 197.00/197.29 ( ! [B_x] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_G_2)) % 197.00/197.29 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) % 197.00/197.29 => ! [B_x] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2)) % 197.00/197.29 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_surjective__sum,axiom, % 197.00/197.29 ! [V_f_2,T_c,T_d,T_b] : c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,hAPP(hAPP(c_COMBB(tc_sum(T_b,T_c),T_d,T_b),V_f_2),c_Sum__Type_OInl(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_sum(T_b,T_c),T_d,T_c),V_f_2),c_Sum__Type_OInr(T_c,T_b))) = V_f_2 ). % 197.00/197.29 % 197.00/197.29 fof(fact_bex1__bexeq__reg,axiom, % 197.00/197.29 ! [V_P_2,V_R_2,T_b] : % 197.00/197.29 ( ? [B_x] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.29 & hBOOL(hAPP(V_P_2,B_x)) % 197.00/197.29 & ! [B_y] : % 197.00/197.29 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.29 & hBOOL(hAPP(V_P_2,B_y)) ) % 197.00/197.29 => B_y = B_x ) ) % 197.00/197.29 => hBOOL(hAPP(c_Quotient_OBex1__rel(T_b,V_R_2),V_P_2)) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_ball__reg__eqv,axiom, % 197.00/197.29 ! [V_P_2,V_R_2,T_b] : % 197.00/197.29 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 197.00/197.29 => ( ! [B_x] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.29 => hBOOL(hAPP(V_P_2,B_x)) ) % 197.00/197.29 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_sgn__1__pos,axiom, % 197.00/197.29 ! [V_a_2,T_b] : % 197.00/197.29 ( class_Rings_Olinordered__idom(T_b) % 197.00/197.29 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b) % 197.00/197.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_sgn__pos,axiom, % 197.00/197.29 ! [V_a,T_a] : % 197.00/197.29 ( class_Rings_Olinordered__idom(T_a) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.00/197.29 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_PlusE,axiom, % 197.00/197.29 ! [V_B_2,V_A_2,V_u_2,T_c,T_b] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_member(tc_sum(T_b,T_c)),V_u_2),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) % 197.00/197.29 => ( ! [B_x] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.00/197.29 => V_u_2 != hAPP(c_Sum__Type_OInl(T_b,T_c),B_x) ) % 197.00/197.29 => ~ ! [B_y] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),V_B_2)) % 197.00/197.29 => V_u_2 != hAPP(c_Sum__Type_OInr(T_c,T_b),B_y) ) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_Powp__def,axiom, % 197.00/197.29 ! [V_B_2,V_A_2,T_b] : % 197.00/197.29 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2)) % 197.00/197.29 <=> ! [B_x] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 197.00/197.29 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_iso__tuple__update__accessor__eq__assist__idI,axiom, % 197.00/197.29 ! [T_b,V_v_2,V_f_2,V_v_H_2] : % 197.00/197.29 ( V_v_H_2 = hAPP(V_f_2,V_v_2) % 197.00/197.29 => c_Record_Oiso__tuple__update__accessor__eq__assist(T_b,T_b,c_Fun_Oid(tc_fun(T_b,T_b)),c_Fun_Oid(T_b),V_v_2,V_f_2,V_v_H_2,V_v_2) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_Push__neq__K0,axiom, % 197.00/197.29 ! [V_f_2,V_k_2,T_b] : hAPP(hAPP(c_Datatype_OPush(T_b),hAPP(c_Sum__Type_OInr(tc_Nat_Onat,T_b),hAPP(c_Nat_OSuc,V_k_2))),V_f_2) != hAPP(c_COMBK(tc_sum(T_b,tc_Nat_Onat),tc_Nat_Onat),hAPP(c_Sum__Type_OInr(tc_Nat_Onat,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 197.00/197.29 % 197.00/197.29 fof(fact_odd__less__0,axiom, % 197.00/197.29 ! [V_z_2] : % 197.00/197.29 ( 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))) % 197.00/197.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_zless__add1__eq,axiom, % 197.00/197.29 ! [V_z_2,V_w_2] : % 197.00/197.29 ( 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)))) % 197.00/197.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 197.00/197.29 | V_w_2 = V_z_2 ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_int__0__less__1,axiom, % 197.00/197.29 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))) ). % 197.00/197.29 % 197.00/197.29 fof(fact_psubset__trans,axiom, % 197.00/197.29 ! [V_C_2,V_B_2,V_A_2,T_b] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.00/197.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_zadd__strict__right__mono,axiom, % 197.00/197.29 ! [V_k,V_j,V_i] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 197.00/197.29 => 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))) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_zless__int,axiom, % 197.00/197.29 ! [V_na_2,V_m_2] : % 197.00/197.29 ( 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_na_2))) % 197.00/197.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_int__int__eq,axiom, % 197.00/197.29 ! [V_na_2,V_m_2] : % 197.00/197.29 ( 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_na_2) % 197.00/197.29 <=> V_m_2 = V_na_2 ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_zless__linear,axiom, % 197.00/197.29 ! [V_y,V_x] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 197.00/197.29 | V_x = V_y % 197.00/197.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_int__less__0__conv,axiom, % 197.00/197.29 ! [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))) ). % 197.00/197.29 % 197.00/197.29 fof(fact_sgn__sgn,axiom, % 197.00/197.29 ! [V_a,T_a] : % 197.00/197.29 ( class_Rings_Olinordered__idom(T_a) % 197.00/197.29 => 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) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_nat__less__cases,axiom, % 197.00/197.29 ! [V_P_2,V_na_2,V_m_2] : % 197.00/197.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 197.00/197.29 => hBOOL(hAPP(hAPP(V_P_2,V_na_2),V_m_2)) ) % 197.00/197.29 => ( ( V_m_2 = V_na_2 % 197.00/197.29 => hBOOL(hAPP(hAPP(V_P_2,V_na_2),V_m_2)) ) % 197.00/197.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 197.00/197.29 => hBOOL(hAPP(hAPP(V_P_2,V_na_2),V_m_2)) ) % 197.00/197.29 => hBOOL(hAPP(hAPP(V_P_2,V_na_2),V_m_2)) ) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__not__refl3,axiom, % 197.00/197.29 ! [V_t,V_s] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 197.00/197.29 => V_s != V_t ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__not__refl2,axiom, % 197.00/197.29 ! [V_m,V_n] : % 197.00/197.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 197.00/197.29 => V_m != V_n ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__irrefl__nat,axiom, % 197.00/197.29 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 197.00/197.29 % 197.00/197.29 fof(fact_linorder__neqE__nat,axiom, % 197.00/197.29 ! [V_y,V_x] : % 197.00/197.29 ( V_x != V_y % 197.00/197.29 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 197.00/197.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_nat__neq__iff,axiom, % 197.00/197.29 ! [V_na_2,V_m_2] : % 197.00/197.29 ( V_m_2 != V_na_2 % 197.00/197.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 197.00/197.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_less__not__refl,axiom, % 197.00/197.29 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 197.00/197.29 % 197.00/197.29 fof(fact_zadd__assoc,axiom, % 197.00/197.29 ! [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)) ). % 197.00/197.29 % 197.00/197.29 fof(fact_zadd__left__commute,axiom, % 197.00/197.29 ! [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)) ). % 197.00/197.29 % 197.00/197.29 fof(fact_zadd__commute,axiom, % 197.00/197.29 ! [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) ). % 197.00/197.29 % 197.00/197.29 fof(fact_zadd__0__right,axiom, % 197.00/197.29 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 197.00/197.29 % 197.00/197.29 fof(fact_zadd__0,axiom, % 197.00/197.29 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 197.00/197.29 % 197.00/197.29 fof(fact_Push__inject2,axiom, % 197.00/197.29 ! [V_g_2,V_j_2,V_f_2,V_i_2,T_b] : % 197.00/197.29 ( hAPP(hAPP(c_Datatype_OPush(T_b),V_i_2),V_f_2) = hAPP(hAPP(c_Datatype_OPush(T_b),V_j_2),V_g_2) % 197.00/197.29 => V_f_2 = V_g_2 ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_Push__inject1,axiom, % 197.00/197.29 ! [V_g_2,V_j_2,V_f_2,V_i_2,T_b] : % 197.00/197.29 ( hAPP(hAPP(c_Datatype_OPush(T_b),V_i_2),V_f_2) = hAPP(hAPP(c_Datatype_OPush(T_b),V_j_2),V_g_2) % 197.00/197.29 => V_i_2 = V_j_2 ) ). % 197.00/197.29 % 197.00/197.29 fof(fact_Push__inject,axiom, % 197.00/197.29 ! [V_g_2,V_j_2,V_f_2,V_i_2,T_b] : % 197.00/197.29 ( hAPP(hAPP(c_Datatype_OPush(T_b),V_i_2),V_f_2) = hAPP(hAPP(c_Datatype_OPush(T_b),V_j_2),V_g_2) % 197.00/197.29 => ~ ( V_i_2 = V_j_2 % 197.00/197.29 => V_f_2 != V_g_2 ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_sum__case__weak__cong,axiom, % 197.00/197.30 ! [V_g_2,V_f_2,T_c,T_d,T_b,V_ta_2,V_s_2] : % 197.00/197.30 ( V_s_2 = V_ta_2 % 197.00/197.30 => hAPP(c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,V_f_2,V_g_2),V_s_2) = hAPP(c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,V_f_2,V_g_2),V_ta_2) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_sum__case__inject,axiom, % 197.00/197.30 ! [V_g2_2,V_g1_2,V_f2_2,V_f1_2,T_c,T_d,T_b] : % 197.00/197.30 ( c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,V_f1_2,V_f2_2) = c_Sum__Type_Osum_Osum__case(T_b,T_d,T_c,V_g1_2,V_g2_2) % 197.00/197.30 => ~ ( V_f1_2 = V_g1_2 % 197.00/197.30 => V_f2_2 != V_g2_2 ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_update__accessor__accessor__eqE,axiom, % 197.00/197.30 ! [V_x_2,V_v_H_2,V_f_2,V_v_2,V_ac_2,V_upd_2,T_c,T_b] : % 197.00/197.30 ( c_Record_Oiso__tuple__update__accessor__eq__assist(T_b,T_c,V_upd_2,V_ac_2,V_v_2,V_f_2,V_v_H_2,V_x_2) % 197.00/197.30 => hAPP(V_ac_2,V_v_2) = V_x_2 ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_update__accessor__updator__eqE,axiom, % 197.00/197.30 ! [V_x_2,V_v_H_2,V_f_2,V_v_2,V_ac_2,V_upd_2,T_c,T_b] : % 197.00/197.30 ( c_Record_Oiso__tuple__update__accessor__eq__assist(T_b,T_c,V_upd_2,V_ac_2,V_v_2,V_f_2,V_v_H_2,V_x_2) % 197.00/197.30 => hAPP(hAPP(V_upd_2,V_f_2),V_v_2) = V_v_H_2 ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_int__0__neq__1,axiom, % 197.00/197.30 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 197.00/197.30 % 197.00/197.30 fof(fact_odd__nonzero,axiom, % 197.00/197.30 ! [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) ). % 197.00/197.30 % 197.00/197.30 fof(fact_sum__case__KK,axiom, % 197.00/197.30 ! [V_x_2,V_a_2,T_d,T_b,T_c] : hAPP(c_Sum__Type_Osum_Osum__case(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_a_2),hAPP(c_COMBK(T_b,T_d),V_a_2)),V_x_2) = V_a_2 ). % 197.00/197.30 % 197.00/197.30 fof(fact_Push__def,axiom, % 197.00/197.30 ! [T_b] : c_Datatype_OPush(T_b) = c_Nat_Onat_Onat__case(tc_sum(T_b,tc_Nat_Onat)) ). % 197.00/197.30 % 197.00/197.30 fof(fact_sgn0,axiom, % 197.00/197.30 ! [T_a] : % 197.00/197.30 ( class_Groups_Osgn__if(T_a) % 197.00/197.30 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_sgn__0__0,axiom, % 197.00/197.30 ! [V_a_2,T_b] : % 197.00/197.30 ( class_Rings_Olinordered__idom(T_b) % 197.00/197.30 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 197.00/197.30 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_ball__reg__eqv__range,axiom, % 197.00/197.30 ! [V_x_2,V_P_2,V_R1_2,V_R2_2,T_b] : % 197.00/197.30 ( c_Equiv__Relations_Oequivp(T_b,V_R2_2) % 197.00/197.30 => ( ! [B_x] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_b)),B_x),c_Quotient_ORespects(tc_fun(T_b,T_b),c_Quotient_Ofun__rel(T_b,T_b,T_b,T_b,V_R1_2,V_R2_2)))) % 197.00/197.30 => hBOOL(hAPP(V_P_2,hAPP(B_x,V_x_2))) ) % 197.00/197.30 <=> ! [B_f] : hBOOL(hAPP(V_P_2,hAPP(B_f,V_x_2))) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_bex__reg__eqv__range,axiom, % 197.00/197.30 ! [V_x_2,V_P_2,V_R1_2,T_c,V_R2_2,T_b] : % 197.00/197.30 ( c_Equiv__Relations_Oequivp(T_b,V_R2_2) % 197.00/197.30 => ( ? [B_x] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,T_b)),B_x),c_Quotient_ORespects(tc_fun(T_c,T_b),c_Quotient_Ofun__rel(T_c,T_c,T_b,T_b,V_R1_2,V_R2_2)))) % 197.00/197.30 & hBOOL(hAPP(V_P_2,hAPP(B_x,V_x_2))) ) % 197.00/197.30 <=> ? [B_f] : hBOOL(hAPP(V_P_2,hAPP(B_f,V_x_2))) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_sum_Osimps_I6_J,axiom, % 197.00/197.30 ! [V_b_2,V_f2_2,V_f1_2,T_d,T_b,T_c] : hAPP(c_Sum__Type_Osum_Osum__case(T_c,T_b,T_d,V_f1_2,V_f2_2),hAPP(c_Sum__Type_OInr(T_d,T_c),V_b_2)) = hAPP(V_f2_2,V_b_2) ). % 197.00/197.30 % 197.00/197.30 fof(fact_sum_Osimps_I5_J,axiom, % 197.00/197.30 ! [V_a_2,V_f2_2,V_f1_2,T_d,T_b,T_c] : hAPP(c_Sum__Type_Osum_Osum__case(T_c,T_b,T_d,V_f1_2,V_f2_2),hAPP(c_Sum__Type_OInl(T_c,T_d),V_a_2)) = hAPP(V_f1_2,V_a_2) ). % 197.00/197.30 % 197.00/197.30 fof(fact_sgn__less,axiom, % 197.00/197.30 ! [V_a_2,T_b] : % 197.00/197.30 ( class_Rings_Olinordered__idom(T_b) % 197.00/197.30 => ( 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))) % 197.00/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_sgn__greater,axiom, % 197.00/197.30 ! [V_a_2,T_b] : % 197.00/197.30 ( class_Rings_Olinordered__idom(T_b) % 197.00/197.30 => ( 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))) % 197.00/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_babs__reg__eqv,axiom, % 197.00/197.30 ! [V_P_2,T_c,V_R_2,T_b] : % 197.00/197.30 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 197.00/197.30 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_P_2) = V_P_2 ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 197.00/197.30 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)) ). % 197.00/197.30 % 197.00/197.30 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 197.00/197.30 ! [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)) ). % 197.00/197.30 % 197.00/197.30 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 197.00/197.30 ! [V_y_2,V_x_2] : % 197.00/197.30 ( 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))) % 197.00/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 197.00/197.30 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)) ). % 197.00/197.30 % 197.00/197.30 fof(fact_termination__basic__simps_I2_J,axiom, % 197.00/197.30 ! [V_y,V_z,V_x] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 197.00/197.30 => 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))) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_termination__basic__simps_I1_J,axiom, % 197.00/197.30 ! [V_z,V_y,V_x] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 197.00/197.30 => 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))) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_zero__less__imp__eq__int,axiom, % 197.00/197.30 ! [V_k] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 197.00/197.30 => ? [B_n] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 197.00/197.30 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_ball__reg__left,axiom, % 197.00/197.30 ! [V_P_2,V_Q_2,V_R_2,T_b] : % 197.00/197.30 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 197.00/197.30 => ( ! [B_x] : % 197.00/197.30 ( hBOOL(hAPP(V_Q_2,B_x)) % 197.00/197.30 => hBOOL(hAPP(V_P_2,B_x)) ) % 197.00/197.30 => ( ! [B_x] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.00/197.30 => hBOOL(hAPP(V_Q_2,B_x)) ) % 197.00/197.30 => ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_ndepth__Push__Node__aux,axiom, % 197.00/197.30 ! [V_k_2,V_f_2,V_i_2,T_b] : % 197.00/197.30 ( hAPP(hAPP(hAPP(c_Nat_Onat_Onat__case(tc_sum(T_b,tc_Nat_Onat)),hAPP(c_Sum__Type_OInr(tc_Nat_Onat,T_b),hAPP(c_Nat_OSuc,V_i_2))),V_f_2),V_k_2) = hAPP(c_Sum__Type_OInr(tc_Nat_Onat,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Orderings_Oord__class_OLeast(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_sum(T_b,tc_Nat_Onat),tc_fun(tc_sum(T_b,tc_Nat_Onat),tc_HOL_Obool),tc_Nat_Onat),c_fequal),V_f_2)),hAPP(c_Sum__Type_OInr(tc_Nat_Onat,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))),V_k_2)) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_one__less__nat__eq,axiom, % 197.00/197.30 ! [V_z_2] : % 197.00/197.30 ( 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))) % 197.00/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__refl,axiom, % 197.00/197.30 ! [V_x,T_a] : % 197.00/197.30 ( class_Orderings_Opreorder(T_a) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_le0,axiom, % 197.00/197.30 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 197.00/197.30 % 197.00/197.30 fof(fact_le__antisym,axiom, % 197.00/197.30 ! [V_n,V_m] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.00/197.30 => V_m = V_n ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_le__trans,axiom, % 197.00/197.30 ! [V_k,V_j,V_i] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_eq__imp__le,axiom, % 197.00/197.30 ! [V_n,V_m] : % 197.00/197.30 ( V_m = V_n % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_nat__le__linear,axiom, % 197.00/197.30 ! [V_n,V_m] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.00/197.30 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_le__refl,axiom, % 197.00/197.30 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 197.00/197.30 % 197.00/197.30 fof(fact_linorder__le__cases,axiom, % 197.00/197.30 ! [V_y,V_x,T_a] : % 197.00/197.30 ( class_Orderings_Olinorder(T_a) % 197.00/197.30 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_le__funE,axiom, % 197.00/197.30 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 197.00/197.30 ( class_Orderings_Oord(T_c) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 197.00/197.30 => 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))) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_xt1_I6_J,axiom, % 197.00/197.30 ! [V_z,V_x,V_y,T_a] : % 197.00/197.30 ( class_Orderings_Oorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_xt1_I5_J,axiom, % 197.00/197.30 ! [V_x,V_y,T_a] : % 197.00/197.30 ( class_Orderings_Oorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.00/197.30 => V_x = V_y ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__trans,axiom, % 197.00/197.30 ! [V_z,V_y,V_x,T_a] : % 197.00/197.30 ( class_Orderings_Opreorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__antisym,axiom, % 197.00/197.30 ! [V_y,V_x,T_a] : % 197.00/197.30 ( class_Orderings_Oorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 197.00/197.30 => V_x = V_y ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_xt1_I4_J,axiom, % 197.00/197.30 ! [V_c,V_a,V_b,T_a] : % 197.00/197.30 ( class_Orderings_Oorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 197.00/197.30 => ( V_b = V_c % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_ord__le__eq__trans,axiom, % 197.00/197.30 ! [V_c,V_b,V_a,T_a] : % 197.00/197.30 ( class_Orderings_Oord(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.00/197.30 => ( V_b = V_c % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_xt1_I3_J,axiom, % 197.00/197.30 ! [V_c,V_b,V_a,T_a] : % 197.00/197.30 ( class_Orderings_Oorder(T_a) % 197.00/197.30 => ( V_a = V_b % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_ord__eq__le__trans,axiom, % 197.00/197.30 ! [V_c,V_b,V_a,T_a] : % 197.00/197.30 ( class_Orderings_Oord(T_a) % 197.00/197.30 => ( V_a = V_b % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__antisym__conv,axiom, % 197.00/197.30 ! [V_x_2,V_y_2,T_b] : % 197.00/197.30 ( class_Orderings_Oorder(T_b) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.00/197.30 <=> V_x_2 = V_y_2 ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_le__funD,axiom, % 197.00/197.30 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 197.00/197.30 ( class_Orderings_Oord(T_c) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 197.00/197.30 => 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))) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__eq__refl,axiom, % 197.00/197.30 ! [V_y,V_x,T_a] : % 197.00/197.30 ( class_Orderings_Opreorder(T_a) % 197.00/197.30 => ( V_x = V_y % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__eq__iff,axiom, % 197.00/197.30 ! [V_y_2,V_x_2,T_b] : % 197.00/197.30 ( class_Orderings_Oorder(T_b) % 197.00/197.30 => ( V_x_2 = V_y_2 % 197.00/197.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.00/197.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_linorder__linear,axiom, % 197.00/197.30 ! [V_y,V_x,T_a] : % 197.00/197.30 ( class_Orderings_Olinorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.00/197.30 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_le__fun__def,axiom, % 197.00/197.30 ! [V_g_2,V_f_2,T_b,T_c] : % 197.00/197.30 ( class_Orderings_Oord(T_c) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 197.00/197.30 <=> ! [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))) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_of__nat__le__iff,axiom, % 197.00/197.30 ! [V_na_2,V_m_2,T_b] : % 197.00/197.30 ( class_Rings_Olinordered__semidom(T_b) % 197.00/197.30 => ( 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_na_2))) % 197.00/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_termination__basic__simps_I5_J,axiom, % 197.00/197.30 ! [V_y,V_x] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_termination__basic__simps_I3_J,axiom, % 197.00/197.30 ! [V_z,V_y,V_x] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 197.00/197.30 => 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))) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_termination__basic__simps_I4_J,axiom, % 197.00/197.30 ! [V_y,V_z,V_x] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 197.00/197.30 => 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))) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_nat__int,axiom, % 197.00/197.30 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 197.00/197.30 % 197.00/197.30 fof(fact_xt1_I8_J,axiom, % 197.00/197.30 ! [V_z,V_x,V_y,T_a] : % 197.00/197.30 ( class_Orderings_Oorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__le__less__trans,axiom, % 197.00/197.30 ! [V_z,V_y,V_x,T_a] : % 197.00/197.30 ( class_Orderings_Opreorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_xt1_I7_J,axiom, % 197.00/197.30 ! [V_z,V_x,V_y,T_a] : % 197.00/197.30 ( class_Orderings_Oorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__less__le__trans,axiom, % 197.00/197.30 ! [V_z,V_y,V_x,T_a] : % 197.00/197.30 ( class_Orderings_Opreorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_xt1_I11_J,axiom, % 197.00/197.30 ! [V_a,V_b,T_a] : % 197.00/197.30 ( class_Orderings_Oorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 197.00/197.30 => ( V_a != V_b % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__le__neq__trans,axiom, % 197.00/197.30 ! [V_b,V_a,T_a] : % 197.00/197.30 ( class_Orderings_Oorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.00/197.30 => ( V_a != V_b % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__le__imp__less__or__eq,axiom, % 197.00/197.30 ! [V_y,V_x,T_a] : % 197.00/197.30 ( class_Orderings_Oorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.30 | V_x = V_y ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_linorder__antisym__conv2,axiom, % 197.00/197.30 ! [V_y_2,V_x_2,T_b] : % 197.00/197.30 ( class_Orderings_Olinorder(T_b) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.00/197.30 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 197.00/197.30 <=> V_x_2 = V_y_2 ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__less__imp__le,axiom, % 197.00/197.30 ! [V_y,V_x,T_a] : % 197.00/197.30 ( class_Orderings_Opreorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_leD,axiom, % 197.00/197.30 ! [V_x,V_y,T_a] : % 197.00/197.30 ( class_Orderings_Olinorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 197.00/197.30 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_xt1_I12_J,axiom, % 197.00/197.30 ! [V_b,V_a,T_a] : % 197.00/197.30 ( class_Orderings_Oorder(T_a) % 197.00/197.30 => ( V_a != V_b % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__neq__le__trans,axiom, % 197.00/197.30 ! [V_b,V_a,T_a] : % 197.00/197.30 ( class_Orderings_Oorder(T_a) % 197.00/197.30 => ( V_a != V_b % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_linorder__antisym__conv1,axiom, % 197.00/197.30 ! [V_y_2,V_x_2,T_b] : % 197.00/197.30 ( class_Orderings_Olinorder(T_b) % 197.00/197.30 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.00/197.30 <=> V_x_2 = V_y_2 ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_not__leE,axiom, % 197.00/197.30 ! [V_x,V_y,T_a] : % 197.00/197.30 ( class_Orderings_Olinorder(T_a) % 197.00/197.30 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_leI,axiom, % 197.00/197.30 ! [V_y,V_x,T_a] : % 197.00/197.30 ( class_Orderings_Olinorder(T_a) % 197.00/197.30 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__le__less,axiom, % 197.00/197.30 ! [V_y_2,V_x_2,T_b] : % 197.00/197.30 ( class_Orderings_Oorder(T_b) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.00/197.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 197.00/197.30 | V_x_2 = V_y_2 ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_less__le__not__le,axiom, % 197.00/197.30 ! [V_y_2,V_x_2,T_b] : % 197.00/197.30 ( class_Orderings_Opreorder(T_b) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 197.00/197.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.00/197.30 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_order__less__le,axiom, % 197.00/197.30 ! [V_y_2,V_x_2,T_b] : % 197.00/197.30 ( class_Orderings_Oorder(T_b) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 197.00/197.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.00/197.30 & V_x_2 != V_y_2 ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_linorder__le__less__linear,axiom, % 197.00/197.30 ! [V_y,V_x,T_a] : % 197.00/197.30 ( class_Orderings_Olinorder(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.00/197.30 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_linorder__not__le,axiom, % 197.00/197.30 ! [V_y_2,V_x_2,T_b] : % 197.00/197.30 ( class_Orderings_Olinorder(T_b) % 197.00/197.30 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.00/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_linorder__not__less,axiom, % 197.00/197.30 ! [V_y_2,V_x_2,T_b] : % 197.00/197.30 ( class_Orderings_Olinorder(T_b) % 197.00/197.30 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 197.00/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_add__le__imp__le__left,axiom, % 197.00/197.30 ! [V_b,V_a,V_c,T_a] : % 197.00/197.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 197.00/197.30 => ( 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))) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_add__le__imp__le__right,axiom, % 197.00/197.30 ! [V_b,V_c,V_a,T_a] : % 197.00/197.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 197.00/197.30 => ( 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))) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_add__mono,axiom, % 197.00/197.30 ! [V_d,V_c,V_b,V_a,T_a] : % 197.00/197.30 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 197.00/197.30 => 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))) ) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_add__left__mono,axiom, % 197.00/197.30 ! [V_c,V_b,V_a,T_a] : % 197.00/197.30 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.00/197.30 => 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))) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_add__right__mono,axiom, % 197.00/197.30 ! [V_c,V_b,V_a,T_a] : % 197.00/197.30 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 197.00/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.00/197.30 => 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))) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_add__le__cancel__left,axiom, % 197.00/197.30 ! [V_b_2,V_a_2,V_c_2,T_b] : % 197.00/197.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 197.00/197.30 => ( 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))) % 197.00/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_add__le__cancel__right,axiom, % 197.00/197.30 ! [V_b_2,V_c_2,V_a_2,T_b] : % 197.00/197.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 197.00/197.30 => ( 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))) % 197.00/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_le__0__eq,axiom, % 197.00/197.30 ! [V_na_2] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 197.00/197.30 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 197.00/197.30 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 197.00/197.30 % 197.00/197.30 fof(fact_Suc__leD,axiom, % 197.00/197.30 ! [V_n,V_m] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_le__SucE,axiom, % 197.00/197.30 ! [V_n,V_m] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 197.00/197.30 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.00/197.30 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_le__SucI,axiom, % 197.00/197.30 ! [V_n,V_m] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_Suc__le__mono,axiom, % 197.00/197.30 ! [V_m_2,V_na_2] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Nat_OSuc,V_m_2))) % 197.00/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_le__Suc__eq,axiom, % 197.00/197.30 ! [V_na_2,V_m_2] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 197.00/197.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.00/197.30 | V_m_2 = hAPP(c_Nat_OSuc,V_na_2) ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_not__less__eq__eq,axiom, % 197.00/197.30 ! [V_na_2,V_m_2] : % 197.00/197.30 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.00/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_Suc__n__not__le__n,axiom, % 197.00/197.30 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 197.00/197.30 % 197.00/197.30 fof(fact_nat__less__le,axiom, % 197.00/197.30 ! [V_na_2,V_m_2] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 197.00/197.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.00/197.30 & V_m_2 != V_na_2 ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_le__eq__less__or__eq,axiom, % 197.00/197.30 ! [V_na_2,V_m_2] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.00/197.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 197.00/197.30 | V_m_2 = V_na_2 ) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_less__imp__le__nat,axiom, % 197.00/197.30 ! [V_n,V_m] : % 197.00/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.00/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 197.00/197.30 % 197.00/197.30 fof(fact_le__neq__implies__less,axiom, % 197.00/197.30 ! [V_n,V_m] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.15/197.30 => ( V_m != V_n % 197.15/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_less__or__eq__imp__le,axiom, % 197.15/197.30 ! [V_n,V_m] : % 197.15/197.30 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.30 | V_m = V_n ) % 197.15/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__leE,axiom, % 197.15/197.30 ! [V_n,V_k,V_m] : % 197.15/197.30 ( 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)) % 197.15/197.30 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.15/197.30 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__leD1,axiom, % 197.15/197.30 ! [V_n,V_k,V_m] : % 197.15/197.30 ( 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)) % 197.15/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__leD2,axiom, % 197.15/197.30 ! [V_n,V_k,V_m] : % 197.15/197.30 ( 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)) % 197.15/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__le__mono,axiom, % 197.15/197.30 ! [V_l,V_k,V_j,V_i] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 197.15/197.30 => 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))) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__le__mono1,axiom, % 197.15/197.30 ! [V_k,V_j,V_i] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.15/197.30 => 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))) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_trans__le__add2,axiom, % 197.15/197.30 ! [V_m,V_j,V_i] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.15/197.30 => 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))) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_trans__le__add1,axiom, % 197.15/197.30 ! [V_m,V_j,V_i] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.15/197.30 => 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))) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_nat__add__left__cancel__le,axiom, % 197.15/197.30 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.30 ( 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_na_2))) % 197.15/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_le__iff__add,axiom, % 197.15/197.30 ! [V_na_2,V_m_2] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.15/197.30 <=> ? [B_k] : V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_le__add1,axiom, % 197.15/197.30 ! [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))) ). % 197.15/197.30 % 197.15/197.30 fof(fact_le__add2,axiom, % 197.15/197.30 ! [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))) ). % 197.15/197.30 % 197.15/197.30 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 197.15/197.30 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 197.15/197.30 % 197.15/197.30 fof(fact_evaln__nonstrict,axiom, % 197.15/197.30 ! [V_m,V_t,V_n,V_s,V_c] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.15/197.30 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_m),V_t)) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 197.15/197.30 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 197.15/197.30 % 197.15/197.30 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 197.15/197.30 ! [V_na_2,V_m_2] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2)) % 197.15/197.30 <=> hBOOL(hAPP(hAPP(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool),c_fFalse),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2)),V_na_2)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_Least__le,axiom, % 197.15/197.30 ! [V_k_2,V_P_2,T_b] : % 197.15/197.30 ( class_Orderings_Owellorder(T_b) % 197.15/197.30 => ( hBOOL(hAPP(V_P_2,V_k_2)) % 197.15/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Orderings_Oord__class_OLeast(T_b),V_P_2)),V_k_2)) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_nat__0,axiom, % 197.15/197.30 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__nonpos__nonpos,axiom, % 197.15/197.30 ! [V_b,V_a,T_a] : % 197.15/197.30 ( class_Groups_Oordered__comm__monoid__add(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.30 => 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))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__increasing2,axiom, % 197.15/197.30 ! [V_a,V_b,V_c,T_a] : % 197.15/197.30 ( class_Groups_Oordered__comm__monoid__add(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 197.15/197.30 => 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))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__increasing,axiom, % 197.15/197.30 ! [V_c,V_b,V_a,T_a] : % 197.15/197.30 ( class_Groups_Oordered__comm__monoid__add(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 197.15/197.30 => 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))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__nonneg__eq__0__iff,axiom, % 197.15/197.30 ! [V_y_2,V_x_2,T_b] : % 197.15/197.30 ( class_Groups_Oordered__comm__monoid__add(T_b) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2)) % 197.15/197.30 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.30 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.30 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__nonneg__nonneg,axiom, % 197.15/197.30 ! [V_b,V_a,T_a] : % 197.15/197.30 ( class_Groups_Oordered__comm__monoid__add(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.30 => 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))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 197.15/197.30 ! [V_a_2,T_b] : % 197.15/197.30 ( class_Groups_Olinordered__ab__group__add(T_b) % 197.15/197.30 => ( 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))) % 197.15/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 197.15/197.30 ! [V_a_2,T_b] : % 197.15/197.30 ( class_Groups_Olinordered__ab__group__add(T_b) % 197.15/197.30 => ( 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))) % 197.15/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__le__less__mono,axiom, % 197.15/197.30 ! [V_d,V_c,V_b,V_a,T_a] : % 197.15/197.30 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 197.15/197.30 => 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))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__less__le__mono,axiom, % 197.15/197.30 ! [V_d,V_c,V_b,V_a,T_a] : % 197.15/197.30 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 197.15/197.30 => 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))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_not__one__le__zero,axiom, % 197.15/197.30 ! [T_a] : % 197.15/197.30 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.30 => ~ 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))) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_zero__le__one,axiom, % 197.15/197.30 ! [T_a] : % 197.15/197.30 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.30 => 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))) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_of__nat__0__le__iff,axiom, % 197.15/197.30 ! [V_n,T_a] : % 197.15/197.30 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.30 => 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))) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_zero__le__imp__of__nat,axiom, % 197.15/197.30 ! [V_m,T_a] : % 197.15/197.30 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.30 => 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))) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_less__eq__Suc__le,axiom, % 197.15/197.30 ! [V_m_2,V_na_2] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 197.15/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_less__Suc__eq__le,axiom, % 197.15/197.30 ! [V_na_2,V_m_2] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 197.15/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_Suc__le__eq,axiom, % 197.15/197.30 ! [V_na_2,V_m_2] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2)) % 197.15/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_le__imp__less__Suc,axiom, % 197.15/197.30 ! [V_n,V_m] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.15/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_Suc__leI,axiom, % 197.15/197.30 ! [V_n,V_m] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_le__less__Suc__eq,axiom, % 197.15/197.30 ! [V_na_2,V_m_2] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) % 197.15/197.30 <=> V_na_2 = V_m_2 ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_Suc__le__lessD,axiom, % 197.15/197.30 ! [V_n,V_m] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 197.15/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_less__eq__Suc__le__raw,axiom, % 197.15/197.30 ! [V_na_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)) ). % 197.15/197.30 % 197.15/197.30 fof(fact_zless__nat__conj,axiom, % 197.15/197.30 ! [V_z_2,V_w_2] : % 197.15/197.30 ( 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))) % 197.15/197.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 197.15/197.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_nat__mono__iff,axiom, % 197.15/197.30 ! [V_w_2,V_z_2] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 197.15/197.30 => ( 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))) % 197.15/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_nat__1,axiom, % 197.15/197.30 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 197.15/197.30 % 197.15/197.30 fof(fact_zless__nat__eq__int__zless,axiom, % 197.15/197.30 ! [V_z_2,V_m_2] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 197.15/197.30 <=> 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__pos__nonneg,axiom, % 197.15/197.30 ! [V_b,V_a,T_a] : % 197.15/197.30 ( class_Groups_Oordered__comm__monoid__add(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.30 => 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))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__nonneg__pos,axiom, % 197.15/197.30 ! [V_b,V_a,T_a] : % 197.15/197.30 ( class_Groups_Oordered__comm__monoid__add(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.30 => 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))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__strict__increasing,axiom, % 197.15/197.30 ! [V_c,V_b,V_a,T_a] : % 197.15/197.30 ( class_Groups_Oordered__comm__monoid__add(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 197.15/197.30 => 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))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__strict__increasing2,axiom, % 197.15/197.30 ! [V_c,V_b,V_a,T_a] : % 197.15/197.30 ( class_Groups_Oordered__comm__monoid__add(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 197.15/197.30 => 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))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__neg__nonpos,axiom, % 197.15/197.30 ! [V_b,V_a,T_a] : % 197.15/197.30 ( class_Groups_Oordered__comm__monoid__add(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.30 => 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))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_add__nonpos__neg,axiom, % 197.15/197.30 ! [V_b,V_a,T_a] : % 197.15/197.30 ( class_Groups_Oordered__comm__monoid__add(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.30 => 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))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comp__cong,axiom, % 197.15/197.30 ! [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] : % 197.15/197.30 ( 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)) % 197.15/197.30 => hAPP(hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f),V_f_H_2),V_g_H_2),V_x_H_2) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 197.15/197.30 ! [V_y_2,V_x_2] : % 197.15/197.30 ( 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) % 197.15/197.30 <=> V_x_2 = V_y_2 ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_zero__less__nat__eq,axiom, % 197.15/197.30 ! [V_z_2] : % 197.15/197.30 ( 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))) % 197.15/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_split__nat,axiom, % 197.15/197.30 ! [V_i_2,V_P_2] : % 197.15/197.30 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2))) % 197.15/197.30 <=> ( ! [B_n] : % 197.15/197.30 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 197.15/197.30 => hBOOL(hAPP(V_P_2,B_n)) ) % 197.15/197.30 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.30 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_nat__aux__def,axiom, % 197.15/197.30 ! [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) ). % 197.15/197.30 % 197.15/197.30 fof(fact_ex__least__nat__less,axiom, % 197.15/197.30 ! [V_na_2,V_P_2] : % 197.15/197.30 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 197.15/197.30 => ( hBOOL(hAPP(V_P_2,V_na_2)) % 197.15/197.30 => ? [B_k] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_na_2)) % 197.15/197.30 & ! [B_i] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 197.15/197.30 => ~ hBOOL(hAPP(V_P_2,B_i)) ) % 197.15/197.30 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 197.15/197.30 ! [V_z] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_nat__less__iff,axiom, % 197.15/197.30 ! [V_m_2,V_w_2] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 197.15/197.30 <=> 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))) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_transfer__morphism__int__nat,axiom, % 197.15/197.30 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)) ). % 197.15/197.30 % 197.15/197.30 fof(fact_convex__bound__lt,axiom, % 197.15/197.30 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 197.15/197.30 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 197.15/197.30 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 197.15/197.30 => 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)) ) ) ) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_power__strict__mono,axiom, % 197.15/197.30 ! [V_n,V_b,V_a,T_a] : % 197.15/197.30 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.30 => 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))) ) ) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_of__int__less__0__iff,axiom, % 197.15/197.30 ! [V_z_2,T_b] : % 197.15/197.30 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.30 => ( 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))) % 197.15/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_of__int__0__less__iff,axiom, % 197.15/197.30 ! [V_z_2,T_b] : % 197.15/197.30 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.30 => ( 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))) % 197.15/197.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_identity__equivp,axiom, % 197.15/197.30 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ). % 197.15/197.30 % 197.15/197.30 fof(fact_subsetD,axiom, % 197.15/197.30 ! [V_c_2,V_B_2,V_A_2,T_b] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.15/197.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 197.15/197.30 ! [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)) ). % 197.15/197.30 % 197.15/197.30 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 197.15/197.30 ! [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)) ). % 197.15/197.30 % 197.15/197.30 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 197.15/197.30 ! [V_y,V_x] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 197.15/197.30 => 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))) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 197.15/197.30 ! [V_n,V_x] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.30 => 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))) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_zle__antisym,axiom, % 197.15/197.30 ! [V_w,V_z] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 197.15/197.30 => V_z = V_w ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_zle__trans,axiom, % 197.15/197.30 ! [V_k,V_j,V_i] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 197.15/197.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 197.15/197.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_zle__linear,axiom, % 197.15/197.30 ! [V_w,V_z] : % 197.15/197.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 197.15/197.30 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_zle__refl,axiom, % 197.15/197.30 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 197.15/197.30 % 197.15/197.30 fof(fact_int__mult,axiom, % 197.15/197.30 ! [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)) ). % 197.15/197.30 % 197.15/197.30 fof(fact_zmult__int,axiom, % 197.15/197.30 ! [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)) ). % 197.15/197.30 % 197.15/197.30 fof(fact_power__Suc,axiom, % 197.15/197.30 ! [V_n,V_a,T_a] : % 197.15/197.30 ( class_Power_Opower(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_power__Suc2,axiom, % 197.15/197.30 ! [V_n,V_a,T_a] : % 197.15/197.30 ( class_Groups_Omonoid__mult(T_a) % 197.15/197.30 => 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) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 197.15/197.30 ! [V_q,V_x,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 197.15/197.30 ! [V_q,V_x,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 197.15/197.30 ! [V_q,V_x,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_power__mult,axiom, % 197.15/197.30 ! [V_n,V_m,V_a,T_a] : % 197.15/197.30 ( class_Groups_Omonoid__mult(T_a) % 197.15/197.30 => 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) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_power__commutes,axiom, % 197.15/197.30 ! [V_n,V_a,T_a] : % 197.15/197.30 ( class_Groups_Omonoid__mult(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_power__mult__distrib,axiom, % 197.15/197.30 ! [V_n,V_b,V_a,T_a] : % 197.15/197.30 ( class_Groups_Ocomm__monoid__mult(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 197.15/197.30 ! [V_c,V_b,V_a,T_a] : % 197.15/197.30 ( class_Groups_Oab__semigroup__mult(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_of__int__power,axiom, % 197.15/197.30 ! [V_n,V_z,T_a] : % 197.15/197.30 ( class_Rings_Oring__1(T_a) % 197.15/197.30 => 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) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_of__int__mult,axiom, % 197.15/197.30 ! [V_z,V_w,T_a] : % 197.15/197.30 ( class_Rings_Oring__1(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 197.15/197.30 ! [V_b,V_a,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 197.15/197.30 ! [V_ry,V_rx,V_lx,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 197.15/197.30 ! [V_ry,V_rx,V_lx,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_of__int__eq__iff,axiom, % 197.15/197.30 ! [V_z_2,V_w_2,T_b] : % 197.15/197.30 ( class_Int_Oring__char__0(T_b) % 197.15/197.30 => ( 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) % 197.15/197.30 <=> V_w_2 = V_z_2 ) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 197.15/197.30 ! [V_q,V_p,V_x,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 197.15/197.30 ! [V_rx,V_ly,V_lx,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 197.15/197.30 ! [V_rx,V_ly,V_lx,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 197.15/197.30 ! [V_q,V_y,V_x,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 197.15/197.30 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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))) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 197.15/197.30 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 197.15/197.30 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_of__nat__mult,axiom, % 197.15/197.30 ! [V_n,V_m,T_a] : % 197.15/197.30 ( class_Rings_Osemiring__1(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_zpower__zadd__distrib,axiom, % 197.15/197.30 ! [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)) ). % 197.15/197.30 % 197.15/197.30 fof(fact_power__add,axiom, % 197.15/197.30 ! [V_n,V_m,V_a,T_a] : % 197.15/197.30 ( class_Groups_Omonoid__mult(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 197.15/197.30 ! [V_q,V_p,V_x,T_a] : % 197.15/197.30 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.30 => 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)) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_of__nat__power,axiom, % 197.15/197.30 ! [V_n,V_m,T_a] : % 197.15/197.30 ( class_Rings_Osemiring__1(T_a) % 197.15/197.30 => 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) ) ). % 197.15/197.30 % 197.15/197.30 fof(fact_int__power,axiom, % 197.15/197.31 ! [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) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zpower__int,axiom, % 197.15/197.31 ! [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)) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__power__eq,axiom, % 197.15/197.31 ! [V_n,V_z] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 197.15/197.31 ! [V_n,V_x] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.31 => 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)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__mult__distrib,axiom, % 197.15/197.31 ! [V_z_H,V_z] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 197.15/197.31 => 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)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 197.15/197.31 ! [V_y,V_x] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 197.15/197.31 => 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)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Powp__mono,axiom, % 197.15/197.31 ! [V_B_2,V_A_2,T_b] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 => 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))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__gt1__lemma,axiom, % 197.15/197.31 ! [V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 197.15/197.31 => 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)))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__less__power__Suc,axiom, % 197.15/197.31 ! [V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 197.15/197.31 => 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)))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_field__power__not__zero,axiom, % 197.15/197.31 ! [V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 197.15/197.31 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.31 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__one,axiom, % 197.15/197.31 ! [V_n,T_a] : % 197.15/197.31 ( class_Groups_Omonoid__mult(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_divisors__zero,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Ono__zero__divisors(T_a) % 197.15/197.31 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.31 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.31 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_no__zero__divisors,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Ono__zero__divisors(T_a) % 197.15/197.31 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.31 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.31 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__eq__0__iff,axiom, % 197.15/197.31 ! [V_b_2,V_a_2,T_b] : % 197.15/197.31 ( class_Rings_Oring__no__zero__divisors(T_b) % 197.15/197.31 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.31 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.31 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__zero__right,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Rings_Omult__zero(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__zero__left,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Rings_Omult__zero(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_crossproduct__eq,axiom, % 197.15/197.31 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] : % 197.15/197.31 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 197.15/197.31 => ( 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)) % 197.15/197.31 <=> ( V_w_2 = V_x_2 % 197.15/197.31 | V_y_2 = V_z_2 ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 197.15/197.31 ! [V_b,V_m,V_a,T_a] : % 197.15/197.31 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 197.15/197.31 ! [V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.31 => 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)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_crossproduct__noteq,axiom, % 197.15/197.31 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.31 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 197.15/197.31 => ( ( V_a_2 != V_b_2 % 197.15/197.31 & V_c_2 != V_d_2 ) % 197.15/197.31 <=> 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)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 197.15/197.31 ! [V_z,V_y,V_x,T_a] : % 197.15/197.31 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.31 => 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)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_combine__common__factor,axiom, % 197.15/197.31 ! [V_c,V_b,V_e,V_a,T_a] : % 197.15/197.31 ( class_Rings_Osemiring(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__semiring__class_Odistrib,axiom, % 197.15/197.31 ! [V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Ocomm__semiring(T_a) % 197.15/197.31 => 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)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_set__mp,axiom, % 197.15/197.31 ! [V_x_2,V_B_2,V_A_2,T_b] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_set__rev__mp,axiom, % 197.15/197.31 ! [V_B_2,V_A_2,V_x_2,T_b] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_in__mono,axiom, % 197.15/197.31 ! [V_x_2,V_B_2,V_A_2,T_b] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__1__left,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Groups_Omonoid__mult(T_a) % 197.15/197.31 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__1,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Groups_Ocomm__monoid__mult(T_a) % 197.15/197.31 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__1__right,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Groups_Omonoid__mult(T_a) % 197.15/197.31 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult_Ocomm__neutral,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Groups_Ocomm__monoid__mult(T_a) % 197.15/197.31 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.31 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.31 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 197.15/197.31 ! [V_x,T_a] : % 197.15/197.31 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.31 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__one__right,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Groups_Omonoid__mult(T_a) % 197.15/197.31 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__0,axiom, % 197.15/197.31 ! [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) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__0__right,axiom, % 197.15/197.31 ! [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) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__is__0,axiom, % 197.15/197.31 ! [V_na_2,V_m_2] : % 197.15/197.31 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.31 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.31 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__cancel1,axiom, % 197.15/197.31 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.31 ( 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_na_2) % 197.15/197.31 <=> ( V_m_2 = V_na_2 % 197.15/197.31 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__cancel2,axiom, % 197.15/197.31 ! [V_na_2,V_k_2,V_m_2] : % 197.15/197.31 ( 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_na_2),V_k_2) % 197.15/197.31 <=> ( V_m_2 = V_na_2 % 197.15/197.31 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Suc__mult__cancel1,axiom, % 197.15/197.31 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.31 ( 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_na_2) % 197.15/197.31 <=> V_m_2 = V_na_2 ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_add__mult__distrib2,axiom, % 197.15/197.31 ! [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)) ). % 197.15/197.31 % 197.15/197.31 fof(fact_add__mult__distrib,axiom, % 197.15/197.31 ! [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)) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 197.15/197.31 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))) ). % 197.15/197.31 % 197.15/197.31 fof(fact_le__square,axiom, % 197.15/197.31 ! [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))) ). % 197.15/197.31 % 197.15/197.31 fof(fact_le__cube,axiom, % 197.15/197.31 ! [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)))) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__le__mono1,axiom, % 197.15/197.31 ! [V_k,V_j,V_i] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.15/197.31 => 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))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__le__mono2,axiom, % 197.15/197.31 ! [V_k,V_j,V_i] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.15/197.31 => 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))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__le__mono,axiom, % 197.15/197.31 ! [V_l,V_k,V_j,V_i] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zadd__zmult__distrib,axiom, % 197.15/197.31 ! [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)) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zadd__zmult__distrib2,axiom, % 197.15/197.31 ! [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)) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zless__le,axiom, % 197.15/197.31 ! [V_w_2,V_z_2] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 197.15/197.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 197.15/197.31 & V_z_2 != V_w_2 ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zmult__1,axiom, % 197.15/197.31 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 197.15/197.31 % 197.15/197.31 fof(fact_zmult__1__right,axiom, % 197.15/197.31 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 197.15/197.31 % 197.15/197.31 fof(fact_zadd__left__mono,axiom, % 197.15/197.31 ! [V_k,V_j,V_i] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 197.15/197.31 => 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))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_of__int__le__iff,axiom, % 197.15/197.31 ! [V_z_2,V_w_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__mult__eq__1__iff,axiom, % 197.15/197.31 ! [V_na_2,V_m_2] : % 197.15/197.31 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 197.15/197.31 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 197.15/197.31 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__mult__1__right,axiom, % 197.15/197.31 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__1__eq__mult__iff,axiom, % 197.15/197.31 ! [V_na_2,V_m_2] : % 197.15/197.31 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) % 197.15/197.31 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 197.15/197.31 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__mult__1,axiom, % 197.15/197.31 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__power__power,axiom, % 197.15/197.31 ! [T_b] : % 197.15/197.31 ( class_Power_Opower(T_b) % 197.15/197.31 => 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)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_less__fun__def,axiom, % 197.15/197.31 ! [V_g_2,V_f_2,T_b,T_c] : % 197.15/197.31 ( class_Orderings_Oord(T_c) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 197.15/197.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 197.15/197.31 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_funpow__mult,axiom, % 197.15/197.31 ! [V_f_2,V_m_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_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_na_2)),V_f_2) ). % 197.15/197.31 % 197.15/197.31 fof(fact_of__int__int__eq,axiom, % 197.15/197.31 ! [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) ). % 197.15/197.31 % 197.15/197.31 fof(fact_subset__psubset__trans,axiom, % 197.15/197.31 ! [V_C_2,V_B_2,V_A_2,T_b] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_psubset__subset__trans,axiom, % 197.15/197.31 ! [V_C_2,V_B_2,V_A_2,T_b] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_psubset__imp__subset,axiom, % 197.15/197.31 ! [V_B_2,V_A_2,T_b] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_subset__iff__psubset__eq,axiom, % 197.15/197.31 ! [V_B_2,V_A_2,T_b] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 | V_A_2 = V_B_2 ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_psubset__eq,axiom, % 197.15/197.31 ! [V_B_2,V_A_2,T_b] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 & V_A_2 != V_B_2 ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__Suc__less,axiom, % 197.15/197.31 ! [V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_sgn__times,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.31 => 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)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_pred__subset__eq,axiom, % 197.15/197.31 ! [V_S_2,V_R_2,T_b] : % 197.15/197.31 ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_of__nat__nat,axiom, % 197.15/197.31 ! [V_z,T_a] : % 197.15/197.31 ( class_Rings_Oring__1(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 197.15/197.31 => 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) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zero__le__power,axiom, % 197.15/197.31 ! [V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__mono,axiom, % 197.15/197.31 ! [V_n,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zero__less__power,axiom, % 197.15/197.31 ! [V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__eq__0__iff,axiom, % 197.15/197.31 ! [V_na_2,V_a_2,T_b] : % 197.15/197.31 ( ( class_Power_Opower(T_b) % 197.15/197.31 & class_Rings_Omult__zero(T_b) % 197.15/197.31 & class_Rings_Ono__zero__divisors(T_b) % 197.15/197.31 & class_Rings_Ozero__neq__one(T_b) ) % 197.15/197.31 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.31 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.31 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_one__le__power,axiom, % 197.15/197.31 ! [V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__0__Suc,axiom, % 197.15/197.31 ! [V_n,T_a] : % 197.15/197.31 ( ( class_Power_Opower(T_a) % 197.15/197.31 & class_Rings_Osemiring__0(T_a) ) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__inject__exp,axiom, % 197.15/197.31 ! [V_na_2,V_m_2,V_a_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_b) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)) % 197.15/197.31 => ( 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_na_2) % 197.15/197.31 <=> V_m_2 = V_na_2 ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 197.15/197.31 ! [V_x,T_a] : % 197.15/197.31 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__0,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Power_Opower(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 197.15/197.31 ! [V_m_2,V_x_2] : % 197.15/197.31 ( 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)) % 197.15/197.31 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.31 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__Suc__0,axiom, % 197.15/197.31 ! [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)) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__zero__less__power__iff,axiom, % 197.15/197.31 ! [V_na_2,V_x_2] : % 197.15/197.31 ( 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_na_2))) % 197.15/197.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 197.15/197.31 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__power__less__imp__less,axiom, % 197.15/197.31 ! [V_n,V_m,V_i] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 197.15/197.31 => ( 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))) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_split__mult__neg__le,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Oordered__cancel__semiring(T_a) % 197.15/197.31 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 197.15/197.31 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_split__mult__pos__le,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Oordered__ring(T_a) % 197.15/197.31 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 197.15/197.31 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__mono,axiom, % 197.15/197.31 ! [V_d,V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Oordered__semiring(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => 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))) ) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__mono_H,axiom, % 197.15/197.31 ! [V_d,V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Oordered__semiring(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => 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))) ) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__left__mono__neg,axiom, % 197.15/197.31 ! [V_c,V_a,V_b,T_a] : % 197.15/197.31 ( class_Rings_Oordered__ring(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__right__mono__neg,axiom, % 197.15/197.31 ! [V_c,V_a,V_b,T_a] : % 197.15/197.31 ( class_Rings_Oordered__ring(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__mult__left__mono,axiom, % 197.15/197.31 ! [V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Oordered__comm__semiring(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__left__mono,axiom, % 197.15/197.31 ! [V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Oordered__semiring(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__right__mono,axiom, % 197.15/197.31 ! [V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Oordered__semiring(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__nonpos__nonpos,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Oordered__ring(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__nonpos__nonneg,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Oordered__cancel__semiring(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__nonneg__nonpos2,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Oordered__cancel__semiring(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__nonneg__nonpos,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Oordered__cancel__semiring(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__nonneg__nonneg,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Oordered__cancel__semiring(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__le__0__iff,axiom, % 197.15/197.31 ! [V_b_2,V_a_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_b) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 197.15/197.31 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zero__le__mult__iff,axiom, % 197.15/197.31 ! [V_b_2,V_a_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_b) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 197.15/197.31 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zero__le__square,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__ring(T_a) % 197.15/197.31 => 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))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__strict__left__mono__neg,axiom, % 197.15/197.31 ! [V_c,V_a,V_b,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__strict__right__mono__neg,axiom, % 197.15/197.31 ! [V_c,V_a,V_b,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__mult__strict__left__mono,axiom, % 197.15/197.31 ! [V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__strict__left__mono,axiom, % 197.15/197.31 ! [V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__strict__right__mono,axiom, % 197.15/197.31 ! [V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__neg__neg,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__neg__pos,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__less__cancel__left__neg,axiom, % 197.15/197.31 ! [V_b_2,V_a_2,V_c_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_b) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zero__less__mult__pos2,axiom, % 197.15/197.31 ! [V_a,V_b,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zero__less__mult__pos,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__pos__neg2,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__pos__neg,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__pos__pos,axiom, % 197.15/197.31 ! [V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__less__cancel__left__pos,axiom, % 197.15/197.31 ! [V_b_2,V_a_2,V_c_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_b) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__less__cancel__left__disj,axiom, % 197.15/197.31 ! [V_b_2,V_a_2,V_c_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_b) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 197.15/197.31 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__less__cancel__right__disj,axiom, % 197.15/197.31 ! [V_b_2,V_c_2,V_a_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_b) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 197.15/197.31 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_not__square__less__zero,axiom, % 197.15/197.31 ! [V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__ring(T_a) % 197.15/197.31 => ~ 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))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_add__scale__eq__noteq,axiom, % 197.15/197.31 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 197.15/197.31 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 197.15/197.31 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.31 => ( ( V_a = V_b % 197.15/197.31 & V_c != V_d ) % 197.15/197.31 => 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)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_sum__squares__eq__zero__iff,axiom, % 197.15/197.31 ! [V_y_2,V_x_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_b) % 197.15/197.31 => ( 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) % 197.15/197.31 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.31 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_less__1__mult,axiom, % 197.15/197.31 ! [V_n,V_m,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 197.15/197.31 ! [V_m,T_a] : % 197.15/197.31 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 197.15/197.31 ! [V_a,V_m,T_a] : % 197.15/197.31 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 197.15/197.31 ! [V_m,V_a,T_a] : % 197.15/197.31 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__eq__1__iff,axiom, % 197.15/197.31 ! [V_na_2,V_m_2] : % 197.15/197.31 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 197.15/197.31 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 197.15/197.31 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__0__less__mult__iff,axiom, % 197.15/197.31 ! [V_na_2,V_m_2] : % 197.15/197.31 ( 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_na_2))) % 197.15/197.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__less__cancel1,axiom, % 197.15/197.31 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.31 ( 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_na_2))) % 197.15/197.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__less__cancel2,axiom, % 197.15/197.31 ! [V_na_2,V_k_2,V_m_2] : % 197.15/197.31 ( 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_na_2),V_k_2))) % 197.15/197.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__less__mono1,axiom, % 197.15/197.31 ! [V_k,V_j,V_i] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__less__mono2,axiom, % 197.15/197.31 ! [V_k,V_j,V_i] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Suc__mult__less__cancel1,axiom, % 197.15/197.31 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.31 ( 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_na_2))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zmult__zless__mono2,axiom, % 197.15/197.31 ! [V_k,V_j,V_i] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__Suc,axiom, % 197.15/197.31 ! [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)) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__Suc__right,axiom, % 197.15/197.31 ! [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)) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Suc__mult__le__cancel1,axiom, % 197.15/197.31 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.31 ( 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_na_2))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Ints__power,axiom, % 197.15/197.31 ! [V_na_2,V_a_2,T_b] : % 197.15/197.31 ( class_Rings_Oring__1(T_b) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 197.15/197.31 ! [V_y,V_x] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__eq__self__implies__10,axiom, % 197.15/197.31 ! [V_n,V_m] : % 197.15/197.31 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 197.15/197.31 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 197.15/197.31 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zero__zle__int,axiom, % 197.15/197.31 ! [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))) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 197.15/197.31 ! [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))) ). % 197.15/197.31 % 197.15/197.31 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 197.15/197.31 ! [V_P_2] : % 197.15/197.31 ( ? [B_x] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 197.15/197.31 & hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.31 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 197.15/197.31 ! [V_P_2] : % 197.15/197.31 ( ! [B_x] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 197.15/197.31 => hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.31 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 197.15/197.31 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))) ). % 197.15/197.31 % 197.15/197.31 fof(fact_eq__nat__nat__iff,axiom, % 197.15/197.31 ! [V_z_H_2,V_z_2] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 197.15/197.31 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 197.15/197.31 <=> V_z_2 = V_z_H_2 ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_ex__nat,axiom, % 197.15/197.31 ! [V_P_2] : % 197.15/197.31 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 197.15/197.31 <=> ? [B_x] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 197.15/197.31 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_all__nat,axiom, % 197.15/197.31 ! [V_P_2] : % 197.15/197.31 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 197.15/197.31 <=> ! [B_x] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 197.15/197.31 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 197.15/197.31 ! [V_y_2,V_x_2] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 197.15/197.31 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 197.15/197.31 <=> V_x_2 = V_y_2 ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zadd__zless__mono,axiom, % 197.15/197.31 ! [V_z,V_z_H,V_w,V_w_H] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zle__int,axiom, % 197.15/197.31 ! [V_na_2,V_m_2] : % 197.15/197.31 ( 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_na_2))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 197.15/197.31 ! [V_y_2,V_x_2] : % 197.15/197.31 ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zle__iff__zadd,axiom, % 197.15/197.31 ! [V_z_2,V_w_2] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 197.15/197.31 <=> ? [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)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_of__int__eq__0__iff,axiom, % 197.15/197.31 ! [V_z_2,T_b] : % 197.15/197.31 ( class_Int_Oring__char__0(T_b) % 197.15/197.31 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.31 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_of__int__0__eq__iff,axiom, % 197.15/197.31 ! [V_z_2,T_b] : % 197.15/197.31 ( class_Int_Oring__char__0(T_b) % 197.15/197.31 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 197.15/197.31 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_of__int__0,axiom, % 197.15/197.31 ! [T_a] : % 197.15/197.31 ( class_Rings_Oring__1(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Ints__mult,axiom, % 197.15/197.31 ! [V_b_2,V_a_2,T_b] : % 197.15/197.31 ( class_Rings_Oring__1(T_b) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_of__int__less__iff,axiom, % 197.15/197.31 ! [V_z_2,V_w_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_of__int__add,axiom, % 197.15/197.31 ! [V_z,V_w,T_a] : % 197.15/197.31 ( class_Rings_Oring__1(T_a) % 197.15/197.31 => 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)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_of__int__1,axiom, % 197.15/197.31 ! [T_a] : % 197.15/197.31 ( class_Rings_Oring__1(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Nats__mult,axiom, % 197.15/197.31 ! [V_b_2,V_a_2,T_b] : % 197.15/197.31 ( class_Rings_Osemiring__1(T_b) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_of__int__of__nat__eq,axiom, % 197.15/197.31 ! [V_n,T_a] : % 197.15/197.31 ( class_Rings_Oring__1(T_a) % 197.15/197.31 => 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) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Ints__of__int,axiom, % 197.15/197.31 ! [V_z_2,T_b] : % 197.15/197.31 ( class_Rings_Oring__1(T_b) % 197.15/197.31 => 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))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__less__imp__less__base,axiom, % 197.15/197.31 ! [V_b,V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__le__imp__le__base,axiom, % 197.15/197.31 ! [V_b,V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( 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)))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__inject__base,axiom, % 197.15/197.31 ! [V_b,V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( 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)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.31 => V_a = V_b ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__0__left,axiom, % 197.15/197.31 ! [V_n,T_a] : % 197.15/197.31 ( ( class_Power_Opower(T_a) % 197.15/197.31 & class_Rings_Osemiring__0(T_a) ) % 197.15/197.31 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.31 => 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) ) % 197.15/197.31 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.31 => 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) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__gt1,axiom, % 197.15/197.31 ! [V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 197.15/197.31 => 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)))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__strict__increasing__iff,axiom, % 197.15/197.31 ! [V_y_2,V_x_2,V_b_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_b) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__less__imp__less__exp,axiom, % 197.15/197.31 ! [V_n,V_m,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 197.15/197.31 => ( 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))) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__strict__increasing,axiom, % 197.15/197.31 ! [V_a,V_N,V_n,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__increasing,axiom, % 197.15/197.31 ! [V_a,V_N,V_n,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__one__le__power,axiom, % 197.15/197.31 ! [V_n,V_i] : % 197.15/197.31 ( 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)) % 197.15/197.31 => 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))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__left__le__imp__le,axiom, % 197.15/197.31 ! [V_b,V_a,V_c,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__right__le__imp__le,axiom, % 197.15/197.31 ! [V_b,V_c,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__less__imp__less__left,axiom, % 197.15/197.31 ! [V_b,V_a,V_c,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__left__less__imp__less,axiom, % 197.15/197.31 ! [V_b,V_a,V_c,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring(T_a) % 197.15/197.31 => ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__less__imp__less__right,axiom, % 197.15/197.31 ! [V_b,V_c,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__right__less__imp__less,axiom, % 197.15/197.31 ! [V_b,V_c,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring(T_a) % 197.15/197.31 => ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__le__less__imp__less,axiom, % 197.15/197.31 ! [V_d,V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => 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))) ) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__less__le__imp__less,axiom, % 197.15/197.31 ! [V_d,V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => 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))) ) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__strict__mono_H,axiom, % 197.15/197.31 ! [V_d,V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => 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))) ) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__strict__mono,axiom, % 197.15/197.31 ! [V_d,V_c,V_b,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__strict(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.31 => 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))) ) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__le__cancel__left__neg,axiom, % 197.15/197.31 ! [V_b_2,V_a_2,V_c_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_b) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__le__cancel__left__pos,axiom, % 197.15/197.31 ! [V_b_2,V_a_2,V_c_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_b) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_sum__squares__ge__zero,axiom, % 197.15/197.31 ! [V_y,V_x,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__ring(T_a) % 197.15/197.31 => 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)))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_sum__squares__le__zero__iff,axiom, % 197.15/197.31 ! [V_y_2,V_x_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_b) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.31 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_not__sum__squares__lt__zero,axiom, % 197.15/197.31 ! [V_y,V_x,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__ring(T_a) % 197.15/197.31 => ~ 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))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_sum__squares__gt__zero__iff,axiom, % 197.15/197.31 ! [V_y_2,V_x_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__ring__strict(T_b) % 197.15/197.31 => ( 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)))) % 197.15/197.31 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.31 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__left__le__one__le,axiom, % 197.15/197.31 ! [V_y,V_x,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 197.15/197.31 => 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)) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__right__le__one__le,axiom, % 197.15/197.31 ! [V_y,V_x,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 197.15/197.31 => 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)) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_n__less__m__mult__n,axiom, % 197.15/197.31 ! [V_m,V_n] : % 197.15/197.31 ( 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)) % 197.15/197.31 => ( 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)) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_n__less__n__mult__m,axiom, % 197.15/197.31 ! [V_m,V_n] : % 197.15/197.31 ( 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)) % 197.15/197.31 => ( 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)) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_one__less__mult,axiom, % 197.15/197.31 ! [V_m,V_n] : % 197.15/197.31 ( 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)) % 197.15/197.31 => ( 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)) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_one__le__mult__iff,axiom, % 197.15/197.31 ! [V_na_2,V_m_2] : % 197.15/197.31 ( 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_na_2))) % 197.15/197.31 <=> ( 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)) % 197.15/197.31 & 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_na_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__le__cancel1,axiom, % 197.15/197.31 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.31 ( 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_na_2))) % 197.15/197.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_mult__le__cancel2,axiom, % 197.15/197.31 ! [V_na_2,V_k_2,V_m_2] : % 197.15/197.31 ( 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_na_2),V_k_2))) % 197.15/197.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_pos__zmult__eq__1__iff,axiom, % 197.15/197.31 ! [V_na_2,V_m_2] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 197.15/197.31 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 197.15/197.31 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 197.15/197.31 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_int__le__0__conv,axiom, % 197.15/197.31 ! [V_na_2] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.31 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__le__0,axiom, % 197.15/197.31 ! [V_z] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.31 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__0__iff,axiom, % 197.15/197.31 ! [V_i_2] : % 197.15/197.31 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_int__one__le__iff__zero__less,axiom, % 197.15/197.31 ! [V_z_2] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 197.15/197.31 ! [V_y_2,V_x_2] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__0__le,axiom, % 197.15/197.31 ! [V_z] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 197.15/197.31 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_int__eq__iff,axiom, % 197.15/197.31 ! [V_z_2,V_m_2] : % 197.15/197.31 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 197.15/197.31 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 197.15/197.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_int__nat__eq,axiom, % 197.15/197.31 ! [V_z] : % 197.15/197.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 197.15/197.31 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 197.15/197.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 197.15/197.31 => 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) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zle__add1__eq__le,axiom, % 197.15/197.31 ! [V_z_2,V_w_2] : % 197.15/197.31 ( 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)))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_add1__zle__eq,axiom, % 197.15/197.31 ! [V_z_2,V_w_2] : % 197.15/197.31 ( 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)) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zless__imp__add1__zle,axiom, % 197.15/197.31 ! [V_z,V_w] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 197.15/197.31 => 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)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_of__int__0__le__iff,axiom, % 197.15/197.31 ! [V_z_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_of__int__le__0__iff,axiom, % 197.15/197.31 ! [V_z_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__eq__imp__eq__base,axiom, % 197.15/197.31 ! [V_b,V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( 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) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.31 => V_a = V_b ) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__Suc__less__one,axiom, % 197.15/197.31 ! [V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__strict__decreasing,axiom, % 197.15/197.31 ! [V_a,V_N,V_n,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 197.15/197.31 => 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))) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__decreasing,axiom, % 197.15/197.31 ! [V_a,V_N,V_n,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 197.15/197.31 => 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))) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__increasing__iff,axiom, % 197.15/197.31 ! [V_y_2,V_x_2,V_b_2,T_b] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_b) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_power__le__imp__le__exp,axiom, % 197.15/197.31 ! [V_n,V_m,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 197.15/197.31 => ( 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))) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_one__less__power,axiom, % 197.15/197.31 ! [V_n,V_a,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.31 => 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))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_convex__bound__le,axiom, % 197.15/197.31 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 197.15/197.31 ( class_Rings_Olinordered__semiring__1(T_a) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 197.15/197.31 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 197.15/197.31 => 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)) ) ) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zmult__zless__mono2__lemma,axiom, % 197.15/197.31 ! [V_k,V_j,V_i] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 197.15/197.31 => 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))) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__less__eq__zless,axiom, % 197.15/197.31 ! [V_z_2,V_w_2] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 197.15/197.31 ! [V_y_2,V_x_2] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__eq__iff2,axiom, % 197.15/197.31 ! [V_w_2,V_m_2] : % 197.15/197.31 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 197.15/197.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 197.15/197.31 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 197.15/197.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 197.15/197.31 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__eq__iff,axiom, % 197.15/197.31 ! [V_m_2,V_w_2] : % 197.15/197.31 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 197.15/197.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 197.15/197.31 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 197.15/197.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 197.15/197.31 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__le__eq__zle,axiom, % 197.15/197.31 ! [V_z_2,V_w_2] : % 197.15/197.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 197.15/197.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 197.15/197.31 => ( 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))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__add__distrib,axiom, % 197.15/197.31 ! [V_z_H,V_z] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 197.15/197.31 => 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)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 197.15/197.31 ! [V_y,V_x] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 197.15/197.31 => 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)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_le__imp__0__less,axiom, % 197.15/197.31 ! [V_z] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 197.15/197.31 => 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))) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_equivp__transp,axiom, % 197.15/197.31 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 197.15/197.31 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 197.15/197.31 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_equivp__symp,axiom, % 197.15/197.31 ! [V_y_2,V_x_2,V_R_2,T_b] : % 197.15/197.31 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 197.15/197.31 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_equivp__reflp,axiom, % 197.15/197.31 ! [V_x_2,V_R_2,T_b] : % 197.15/197.31 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 197.15/197.31 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_equivp__def,axiom, % 197.15/197.31 ! [V_R_2,T_b] : % 197.15/197.31 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 197.15/197.31 <=> ! [B_x,B_y] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 197.15/197.31 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_self__quotient__aux2,axiom, % 197.15/197.31 ! [V_q,V_r,V_a] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.31 => ( 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)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_self__quotient__aux1,axiom, % 197.15/197.31 ! [V_q,V_r,V_a] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.31 => ( 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)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_q__pos__lemma,axiom, % 197.15/197.31 ! [V_r_H,V_q_H,V_b_H] : % 197.15/197.31 ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_q__neg__lemma,axiom, % 197.15/197.31 ! [V_r_H,V_q_H,V_b_H] : % 197.15/197.31 ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_unique__quotient__lemma,axiom, % 197.15/197.31 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 197.15/197.31 ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zdiv__mono2__lemma,axiom, % 197.15/197.31 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 197.15/197.31 ( 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) % 197.15/197.31 => ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_unique__quotient__lemma__neg,axiom, % 197.15/197.31 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 197.15/197.31 ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_zdiv__mono2__neg__lemma,axiom, % 197.15/197.31 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 197.15/197.31 ( 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) % 197.15/197.31 => ( 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))) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_nat__mult__le__cancel1,axiom, % 197.15/197.31 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 197.15/197.31 => ( 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_na_2))) % 197.15/197.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_equalityI,axiom, % 197.15/197.31 ! [V_B_2,V_A_2,T_b] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.15/197.31 => V_A_2 = V_B_2 ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_equalityE,axiom, % 197.15/197.31 ! [T_b,V_B_2,V_A_2] : % 197.15/197.31 ( V_A_2 = V_B_2 % 197.15/197.31 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_subset__trans,axiom, % 197.15/197.31 ! [V_C_2,V_B_2,V_A_2,T_b] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_predicate1D,axiom, % 197.15/197.31 ! [V_x_2,V_Q_2,V_P_2,T_b] : % 197.15/197.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2)) % 197.15/197.31 => ( hBOOL(hAPP(V_P_2,V_x_2)) % 197.15/197.31 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_equalityD2,axiom, % 197.15/197.31 ! [T_b,V_B_2,V_A_2] : % 197.15/197.31 ( V_A_2 = V_B_2 % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_equalityD1,axiom, % 197.15/197.31 ! [T_b,V_B_2,V_A_2] : % 197.15/197.31 ( V_A_2 = V_B_2 % 197.15/197.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 197.15/197.31 % 197.15/197.31 fof(fact_rev__predicate1D,axiom, % 197.15/197.31 ! [V_Q_2,T_b,V_x_2,V_P_2] : % 197.15/197.31 ( hBOOL(hAPP(V_P_2,V_x_2)) % 197.15/197.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2)) % 197.15/197.31 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_set__eq__subset,axiom, % 197.15/197.32 ! [T_b,V_B_2,V_A_2] : % 197.15/197.32 ( V_A_2 = V_B_2 % 197.15/197.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_subset__refl,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__mult__commute,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__mult__assoc,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmult__commute,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zpower__zpower,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmult__assoc,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_of__int__eq__id,axiom, % 197.15/197.32 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__mult__eq__cancel__disj,axiom, % 197.15/197.32 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.32 ( 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_na_2) % 197.15/197.32 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 | V_m_2 = V_na_2 ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_left__add__mult__distrib,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__mult__eq__cancel1,axiom, % 197.15/197.32 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 197.15/197.32 => ( 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_na_2) % 197.15/197.32 <=> V_m_2 = V_na_2 ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__mult__less__cancel1,axiom, % 197.15/197.32 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 197.15/197.32 => ( 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_na_2))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_transfer__morphism__nat__int,axiom, % 197.15/197.32 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))) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__mult__distrib__neg,axiom, % 197.15/197.32 ! [V_z_H,V_z] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_divmod__int__rel__mod__eq,axiom, % 197.15/197.32 ! [V_y,V_q_1,V_b_1,V_a_1] : % 197.15/197.32 ( 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) % 197.15/197.32 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 197.15/197.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 197.15/197.32 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmult2__lemma__aux2,axiom, % 197.15/197.32 ! [V_q,V_r,V_b,V_c] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => 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))) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmult2__lemma__aux1,axiom, % 197.15/197.32 ! [V_q,V_r,V_b,V_c] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => 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))) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmult2__lemma__aux4,axiom, % 197.15/197.32 ! [V_q,V_b,V_r,V_c] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 197.15/197.32 => 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))) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmult2__lemma__aux3,axiom, % 197.15/197.32 ! [V_q,V_b,V_r,V_c] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 197.15/197.32 => 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))) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_split__zmod,axiom, % 197.15/197.32 ! [V_k_2,V_na_2,V_P_2] : % 197.15/197.32 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2))) % 197.15/197.32 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => hBOOL(hAPP(V_P_2,V_na_2)) ) % 197.15/197.32 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 197.15/197.32 => ! [B_i,B_j] : % 197.15/197.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 197.15/197.32 & V_na_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) ) % 197.15/197.32 => hBOOL(hAPP(V_P_2,B_j)) ) ) % 197.15/197.32 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => ! [B_i,B_j] : % 197.15/197.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 & V_na_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) ) % 197.15/197.32 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_negative__zle,axiom, % 197.15/197.32 ! [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))) ). % 197.15/197.32 % 197.15/197.32 fof(fact_negative__zless,axiom, % 197.15/197.32 ! [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))) ). % 197.15/197.32 % 197.15/197.32 fof(fact_of__int__minus,axiom, % 197.15/197.32 ! [V_z,T_a] : % 197.15/197.32 ( class_Rings_Oring__1(T_a) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__zminus1__not__zero,axiom, % 197.15/197.32 ! [V_l,V_k] : % 197.15/197.32 ( 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) % 197.15/197.32 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__zminus2__not__zero,axiom, % 197.15/197.32 ! [V_l,V_k] : % 197.15/197.32 ( 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) % 197.15/197.32 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__zminus2,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__minus__eq,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Oring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__zminus__zminus,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zminus__zmod,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mod__trivial,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__minus__cong,axiom, % 197.15/197.32 ! [V_a_H,V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Oring__div(T_a) % 197.15/197.32 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 197.15/197.32 => 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) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__minus,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_equation__minus__iff,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_b) % 197.15/197.32 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 197.15/197.32 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__equation__iff,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_b) % 197.15/197.32 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2 % 197.15/197.32 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__equal__iff__equal,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_b) % 197.15/197.32 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 197.15/197.32 <=> V_a_2 = V_b_2 ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zminus__zminus,axiom, % 197.15/197.32 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__0,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__by__0,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__self,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__add__self2,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__add__self1,axiom, % 197.15/197.32 ! [V_a,V_b,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__add__right__eq,axiom, % 197.15/197.32 ! [V_c,V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__add__left__eq,axiom, % 197.15/197.32 ! [V_c,V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__add__eq,axiom, % 197.15/197.32 ! [V_c,V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__simps_I2_J,axiom, % 197.15/197.32 ! [V_c,V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__simps_I1_J,axiom, % 197.15/197.32 ! [V_b,V_c,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__add__cong,axiom, % 197.15/197.32 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 197.15/197.32 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 197.15/197.32 => 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) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__right__eq,axiom, % 197.15/197.32 ! [V_c,V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__left__eq,axiom, % 197.15/197.32 ! [V_c,V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__eq,axiom, % 197.15/197.32 ! [V_c,V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__mult1,axiom, % 197.15/197.32 ! [V_b,V_a,V_c,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__mult2,axiom, % 197.15/197.32 ! [V_b,V_c,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__simps_I4_J,axiom, % 197.15/197.32 ! [V_b,V_c,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__cong,axiom, % 197.15/197.32 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 197.15/197.32 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 197.15/197.32 => 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) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__minus__iff,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__le__iff,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( 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)) % 197.15/197.32 <=> 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__le__iff__le,axiom, % 197.15/197.32 ! [V_a_2,V_b_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__imp__neg__le,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_a) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__equal__zero,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Olinordered__ab__group__add(T_b) % 197.15/197.32 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2 % 197.15/197.32 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__equal__0__iff__equal,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_b) % 197.15/197.32 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.32 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_equal__neg__zero,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Olinordered__ab__group__add(T_b) % 197.15/197.32 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 197.15/197.32 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__0__equal__iff__equal,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_b) % 197.15/197.32 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 197.15/197.32 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__zero,axiom, % 197.15/197.32 ! [T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_less__minus__iff,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__less__iff,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__less__iff__less,axiom, % 197.15/197.32 ! [V_a_2,V_b_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__add__distrib,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Groups_Oab__group__add(T_a) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__add,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_add__minus__cancel,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__add__cancel,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__mult__right,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Rings_Oring(T_a) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__mult__left,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Rings_Oring(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__mult__commute,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Rings_Oring(T_a) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__mult__minus,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Rings_Oring(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_square__eq__iff,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Rings_Oidom(T_b) % 197.15/197.32 => ( 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) % 197.15/197.32 <=> ( V_a_2 = V_b_2 % 197.15/197.32 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__zero,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__self,axiom, % 197.15/197.32 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zminus__0,axiom, % 197.15/197.32 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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__zmult1__eq,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__simps_I3_J,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zminus__zadd__distrib,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmult__zminus,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zpower__zmod,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__self2__is__0,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__self1__is__0,axiom, % 197.15/197.32 ! [V_a,V_b,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__self2,axiom, % 197.15/197.32 ! [V_c,V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__self1,axiom, % 197.15/197.32 ! [V_b,V_c,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__by__1,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__0__le__iff__le,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__minus__self__iff,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Olinordered__ab__group__add(T_b) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__le__0__iff__le,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__le__self__iff,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Olinordered__ab__group__add(T_b) % 197.15/197.32 => ( 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)) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_less__minus__self__iff,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__less__nonneg,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Olinordered__ab__group__add(T_b) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__less__0__iff__less,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__0__less__iff__less,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_right__minus,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_eq__neg__iff__add__eq__0,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_b) % 197.15/197.32 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 197.15/197.32 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_left__minus,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_ab__left__minus,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Groups_Oab__group__add(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__unique,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 197.15/197.32 ! [V_x,T_a] : % 197.15/197.32 ( class_Rings_Ocomm__ring__1(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_square__eq__1__iff,axiom, % 197.15/197.32 ! [V_x_2,T_b] : % 197.15/197.32 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 197.15/197.32 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 197.15/197.32 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b) % 197.15/197.32 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 197.15/197.32 ! [V_y,V_x] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__le__nonneg__dividend,axiom, % 197.15/197.32 ! [V_k,V_m] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_pos__mod__bound,axiom, % 197.15/197.32 ! [V_a,V_b] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__mod__bound,axiom, % 197.15/197.32 ! [V_a,V_b] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__eq__0__iff,axiom, % 197.15/197.32 ! [V_d_2,V_m_2] : % 197.15/197.32 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zadd__zminus__inverse2,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_negative__eq__positive,axiom, % 197.15/197.32 ! [V_m_2,V_na_2] : % 197.15/197.32 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) % 197.15/197.32 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_not__int__zless__negative,axiom, % 197.15/197.32 ! [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)))) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Ints__minus,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Rings_Oring__1(T_b) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_of__int__of__nat,axiom, % 197.15/197.32 ! [V_k,T_a] : % 197.15/197.32 ( class_Rings_Oring__1(T_a) % 197.15/197.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => 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)))) ) % 197.15/197.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => 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)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_power__minus,axiom, % 197.15/197.32 ! [V_n,V_a,T_a] : % 197.15/197.32 ( class_Rings_Oring__1(T_a) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_pos__mod__sign,axiom, % 197.15/197.32 ! [V_a,V_b] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.32 => 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_pos__mod__conj,axiom, % 197.15/197.32 ! [V_a,V_b] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.32 => ( 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))) % 197.15/197.32 & 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__pos__pos__trivial,axiom, % 197.15/197.32 ! [V_b,V_a] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 197.15/197.32 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__mod__sign,axiom, % 197.15/197.32 ! [V_a,V_b] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__mod__conj,axiom, % 197.15/197.32 ! [V_a,V_b] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => ( 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))) % 197.15/197.32 & 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__neg__neg__trivial,axiom, % 197.15/197.32 ! [V_b,V_a] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 197.15/197.32 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_int__zle__neg,axiom, % 197.15/197.32 ! [V_m_2,V_na_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)))) % 197.15/197.32 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_negative__zle__0,axiom, % 197.15/197.32 ! [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))) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zsgn__def,axiom, % 197.15/197.32 ! [V_i] : % 197.15/197.32 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 197.15/197.32 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 197.15/197.32 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 197.15/197.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 197.15/197.32 => 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)) ) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__zminus__int,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__pos__neg__trivial,axiom, % 197.15/197.32 ! [V_b,V_a] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.32 => ( 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))) % 197.15/197.32 => 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) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_sgn__if,axiom, % 197.15/197.32 ! [V_x,T_a] : % 197.15/197.32 ( class_Groups_Osgn__if(T_a) % 197.15/197.32 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 197.15/197.32 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 197.15/197.32 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 197.15/197.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 197.15/197.32 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_sgn__1__neg,axiom, % 197.15/197.32 ! [V_a_2,T_b] : % 197.15/197.32 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.32 => ( 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)) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_sgn__neg,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.32 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_not__zle__0__negative,axiom, % 197.15/197.32 ! [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))))) ). % 197.15/197.32 % 197.15/197.32 fof(fact_negative__zless__0,axiom, % 197.15/197.32 ! [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))) ). % 197.15/197.32 % 197.15/197.32 fof(fact_z3mod__def,axiom, % 197.15/197.32 ! [V_k,V_l] : % 197.15/197.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 197.15/197.32 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 197.15/197.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_compl__le__compl__iff,axiom, % 197.15/197.32 ! [V_y_2,V_x_2,T_b] : % 197.15/197.32 ( class_Lattices_Oboolean__algebra(T_b) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_compl__mono,axiom, % 197.15/197.32 ! [V_y,V_x,T_a] : % 197.15/197.32 ( class_Lattices_Oboolean__algebra(T_a) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_negD,axiom, % 197.15/197.32 ! [V_x] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => ? [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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_split__pos__lemma,axiom, % 197.15/197.32 ! [V_na_2,V_P_2,V_k_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2))) % 197.15/197.32 <=> ! [B_i,B_j] : % 197.15/197.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 197.15/197.32 & V_na_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) ) % 197.15/197.32 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_split__neg__lemma,axiom, % 197.15/197.32 ! [V_na_2,V_P_2,V_k_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2))) % 197.15/197.32 <=> ! [B_i,B_j] : % 197.15/197.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 & V_na_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) ) % 197.15/197.32 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__zmult2__eq,axiom, % 197.15/197.32 ! [V_b,V_a,V_c] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 197.15/197.32 ! [V_y,V_x] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_ComplI,axiom, % 197.15/197.32 ! [V_A_2,V_c_2,T_b] : % 197.15/197.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.15/197.32 => 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Compl__iff,axiom, % 197.15/197.32 ! [V_A_2,V_c_2,T_b] : % 197.15/197.32 ( 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))) % 197.15/197.32 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_ComplD,axiom, % 197.15/197.32 ! [V_A_2,V_c_2,T_b] : % 197.15/197.32 ( 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))) % 197.15/197.32 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_ComplE,axiom, % 197.15/197.32 ! [V_A_2,V_c_2,T_b] : % 197.15/197.32 ( 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))) % 197.15/197.32 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__zero,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__less,axiom, % 197.15/197.32 ! [V_n,V_m] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__less__eq__dividend,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Compl__anti__mono,axiom, % 197.15/197.32 ! [V_B_2,V_A_2,T_b] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.32 => 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Compl__subset__Compl__iff,axiom, % 197.15/197.32 ! [V_B_2,V_A_2,T_b] : % 197.15/197.32 ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__distrib,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__distrib2,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__zminus__zminus,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__zminus2,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__0,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__by__0,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__by__1,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__1,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__Suc,axiom, % 197.15/197.32 ! [V_n,V_m] : % 197.15/197.32 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 197.15/197.32 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 197.15/197.32 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 197.15/197.32 ! [V_y,V_x] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__less__divisor,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__neg__pos__less0,axiom, % 197.15/197.32 ! [V_b,V_a] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 197.15/197.32 ! [V_a_2,V_b_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 197.15/197.32 ! [V_a_2,V_b_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__self,axiom, % 197.15/197.32 ! [V_a] : % 197.15/197.32 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__eq__0__iff,axiom, % 197.15/197.32 ! [V_d_2,V_m_2] : % 197.15/197.32 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_DIVISION__BY__ZERO,axiom, % 197.15/197.32 ! [V_a] : % 197.15/197.32 ( 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) % 197.15/197.32 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__zdiv__trivial,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__self3,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__zadd1__eq,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__int,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mult__mult1,axiom, % 197.15/197.32 ! [V_b,V_a,V_c,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => 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) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mult__mult2,axiom, % 197.15/197.32 ! [V_b,V_a,V_c,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => 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) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mult__self1__is__id,axiom, % 197.15/197.32 ! [V_a,V_b,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => 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 ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mult__self2__is__id,axiom, % 197.15/197.32 ! [V_a,V_b,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => 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 ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mult__mult1__if,axiom, % 197.15/197.32 ! [V_b,V_a,V_c,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => 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) ) % 197.15/197.32 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => 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) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__self,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__div__trivial,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__mono1__neg,axiom, % 197.15/197.32 ! [V_b,V_a_H,V_a] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__mono1,axiom, % 197.15/197.32 ! [V_b,V_a_H,V_a] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__neg__neg__trivial,axiom, % 197.15/197.32 ! [V_b,V_a] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 197.15/197.32 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__mono2__neg,axiom, % 197.15/197.32 ! [V_b,V_b_H,V_a] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 197.15/197.32 => 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))) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__nonpos__pos__le0,axiom, % 197.15/197.32 ! [V_b,V_a] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 197.15/197.32 ! [V_a_2,V_b_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__pos__pos__trivial,axiom, % 197.15/197.32 ! [V_b,V_a] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 197.15/197.32 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__nonneg__neg__le0,axiom, % 197.15/197.32 ! [V_b,V_a] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__mono2,axiom, % 197.15/197.32 ! [V_b,V_b_H,V_a] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 197.15/197.32 => 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))) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 197.15/197.32 ! [V_b_2,V_a_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2)) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 197.15/197.32 ! [V_i_2,V_k_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 197.15/197.32 ! [V_a_2,V_b_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__eq__0__iff,axiom, % 197.15/197.32 ! [V_k_2,V_i_2] : % 197.15/197.32 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 197.15/197.32 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__le__divisor,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_int__div__less__self,axiom, % 197.15/197.32 ! [V_k,V_x] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__zmult2__eq,axiom, % 197.15/197.32 ! [V_b,V_a,V_c] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult__self4,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__zdiv__equality,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__zmult1__eq,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__zmod__equality,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__zmod__equality2,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mult__self2,axiom, % 197.15/197.32 ! [V_c,V_a,V_b,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mult__self1,axiom, % 197.15/197.32 ! [V_c,V_a,V_b,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__add__self2,axiom, % 197.15/197.32 ! [V_a,V_b,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__add__self1,axiom, % 197.15/197.32 ! [V_a,V_b,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_times_Oidem,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 197.15/197.32 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mult__idem,axiom, % 197.15/197.32 ! [V_x,T_a] : % 197.15/197.32 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 197.15/197.32 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mult__left__idem,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mod__equality,axiom, % 197.15/197.32 ! [V_c,V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mod__equality2,axiom, % 197.15/197.32 ! [V_c,V_a,V_b,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__div__equality,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__div__equality2,axiom, % 197.15/197.32 ! [V_a,V_b,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_double__compl,axiom, % 197.15/197.32 ! [V_x,T_a] : % 197.15/197.32 ( class_Lattices_Oboolean__algebra(T_a) % 197.15/197.32 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_uminus__apply,axiom, % 197.15/197.32 ! [V_x_2,V_A_2,T_c,T_b] : % 197.15/197.32 ( class_Groups_Ouminus(T_b) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_compl__eq__compl__iff,axiom, % 197.15/197.32 ! [V_y_2,V_x_2,T_b] : % 197.15/197.32 ( class_Lattices_Oboolean__algebra(T_b) % 197.15/197.32 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2) % 197.15/197.32 <=> V_x_2 = V_y_2 ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__lemma,axiom, % 197.15/197.32 ! [V_q,V_b,V_r,V_c] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_split__mod,axiom, % 197.15/197.32 ! [V_k_2,V_na_2,V_P_2] : % 197.15/197.32 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_na_2,V_k_2))) % 197.15/197.32 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => hBOOL(hAPP(V_P_2,V_na_2)) ) % 197.15/197.32 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => ! [B_i,B_j] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 197.15/197.32 => ( V_na_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) % 197.15/197.32 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Suc__times__mod__eq,axiom, % 197.15/197.32 ! [V_m,V_k] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__mod__distrib,axiom, % 197.15/197.32 ! [V_y,V_x] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 197.15/197.32 ! [V_y,V_x] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_fun__Compl__def,axiom, % 197.15/197.32 ! [V_x_2,V_A_2,T_c,T_b] : % 197.15/197.32 ( class_Groups_Ouminus(T_b) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_divmod__int__rel__div__eq,axiom, % 197.15/197.32 ! [V_r_1,V_y,V_b_1,V_a_1] : % 197.15/197.32 ( 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) % 197.15/197.32 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 197.15/197.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 197.15/197.32 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_split__zdiv,axiom, % 197.15/197.32 ! [V_k_2,V_na_2,V_P_2] : % 197.15/197.32 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2))) % 197.15/197.32 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 197.15/197.32 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 197.15/197.32 => ! [B_i] : % 197.15/197.32 ( ? [B_j] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 197.15/197.32 & V_na_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) ) % 197.15/197.32 => hBOOL(hAPP(V_P_2,B_i)) ) ) % 197.15/197.32 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 => ! [B_i] : % 197.15/197.32 ( ? [B_j] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 197.15/197.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.32 & V_na_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) ) % 197.15/197.32 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_z3div__def,axiom, % 197.15/197.32 ! [V_k,V_l] : % 197.15/197.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 197.15/197.32 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 197.15/197.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_int__power__div__base,axiom, % 197.15/197.32 ! [V_k,V_m] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 197.15/197.32 => 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)))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__zminus2__eq__if,axiom, % 197.15/197.32 ! [V_a,V_b] : % 197.15/197.32 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => 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)) ) % 197.15/197.32 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => 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)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__zminus1__eq__if,axiom, % 197.15/197.32 ! [V_a,V_b] : % 197.15/197.32 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => 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)) ) % 197.15/197.32 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => 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)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__div__decomp,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Osemiring__div(T_a) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_split__div__lemma,axiom, % 197.15/197.32 ! [V_m_2,V_q_2,V_na_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 197.15/197.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_q_2)),V_m_2)) % 197.15/197.32 & 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_na_2),hAPP(c_Nat_OSuc,V_q_2)))) ) % 197.15/197.32 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_split__div_H,axiom, % 197.15/197.32 ! [V_na_2,V_m_2,V_P_2] : % 197.15/197.32 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2))) % 197.15/197.32 <=> ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 197.15/197.32 | ? [B_q] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),B_q)),V_m_2)) % 197.15/197.32 & 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_na_2),hAPP(c_Nat_OSuc,B_q)))) % 197.15/197.32 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mod__equality_H,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mult__div__cancel,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Divides_Omod__div__equality_H,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_double__complement,axiom, % 197.15/197.32 ! [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 ). % 197.15/197.32 % 197.15/197.32 fof(fact_Compl__eq__Compl__iff,axiom, % 197.15/197.32 ! [V_B_2,V_A_2,T_b] : % 197.15/197.32 ( 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) % 197.15/197.32 <=> V_A_2 = V_B_2 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_fun__diff__def,axiom, % 197.15/197.32 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 197.15/197.32 ( class_Groups_Ominus(T_b) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__apply,axiom, % 197.15/197.32 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 197.15/197.32 ( class_Groups_Ominus(T_b) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_of__int__diff,axiom, % 197.15/197.32 ! [V_z,V_w,T_a] : % 197.15/197.32 ( class_Rings_Oring__1(T_a) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__commute,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__eq__diff__eq,axiom, % 197.15/197.32 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oab__group__add(T_b) % 197.15/197.32 => ( 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) % 197.15/197.32 => ( V_a_2 = V_b_2 % 197.15/197.32 <=> V_c_2 = V_d_2 ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_of__nat__diff,axiom, % 197.15/197.32 ! [V_m,V_n,T_a] : % 197.15/197.32 ( class_Rings_Oring__1(T_a) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiff__int,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__eq__diff__less__eq,axiom, % 197.15/197.32 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( 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) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_right__minus__eq,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_b) % 197.15/197.32 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.32 <=> V_a_2 = V_b_2 ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_eq__iff__diff__eq__0,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oab__group__add(T_b) % 197.15/197.32 => ( V_a_2 = V_b_2 % 197.15/197.32 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__self,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__0__right,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__eq__diff__less,axiom, % 197.15/197.32 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( 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) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__add__cancel,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_add__diff__cancel,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__diff__eq,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Groups_Oab__group__add(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__add1__eq,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__diff__right__eq,axiom, % 197.15/197.32 ! [V_c,V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Oring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__diff__left__eq,axiom, % 197.15/197.32 ! [V_c,V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Oring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__diff__eq,axiom, % 197.15/197.32 ! [V_c,V_b,V_a,T_a] : % 197.15/197.32 ( class_Divides_Oring__div(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__diff__cong,axiom, % 197.15/197.32 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 197.15/197.32 ( class_Divides_Oring__div(T_a) % 197.15/197.32 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 197.15/197.32 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 197.15/197.32 => 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) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__le__dividend,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__le__mono,axiom, % 197.15/197.32 ! [V_k,V_n,V_m] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mult2__eq,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__0__eq__0,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_minus__nat_Odiff__0,axiom, % 197.15/197.32 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__self__eq__0,axiom, % 197.15/197.32 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diffs0__imp__equal,axiom, % 197.15/197.32 ! [V_n,V_m] : % 197.15/197.32 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => V_m = V_n ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__Suc__Suc,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Suc__diff__diff,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__less__mono2,axiom, % 197.15/197.32 ! [V_l,V_n,V_m] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_less__imp__diff__less,axiom, % 197.15/197.32 ! [V_n,V_k,V_j] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__geq,axiom, % 197.15/197.32 ! [V_n,V_m] : % 197.15/197.32 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__if,axiom, % 197.15/197.32 ! [V_n,V_m] : % 197.15/197.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 197.15/197.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => 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) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__add__inverse2,axiom, % 197.15/197.32 ! [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 ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__add__inverse,axiom, % 197.15/197.32 ! [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 ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__diff__left,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__cancel,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__cancel2,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__le__self,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__le__mono2,axiom, % 197.15/197.32 ! [V_l,V_n,V_m] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__le__mono,axiom, % 197.15/197.32 ! [V_l,V_n,V_m] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__diff__cancel,axiom, % 197.15/197.32 ! [V_n,V_i] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_eq__diff__iff,axiom, % 197.15/197.32 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 197.15/197.32 => ( 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_na_2),V_k_2) % 197.15/197.32 <=> V_m_2 = V_na_2 ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Nat_Odiff__diff__eq,axiom, % 197.15/197.32 ! [V_n,V_m,V_k] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 197.15/197.32 => 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) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__diff__iff,axiom, % 197.15/197.32 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 197.15/197.32 => ( 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_na_2),V_k_2))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__mod__geq,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiff__zmult__distrib,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiff__zmult__distrib2,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__mult__distrib,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__mult__distrib2,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiff__zmod__right,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiff__zmod__left,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__if,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 197.15/197.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => 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)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__geq,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.32 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__diff__distrib,axiom, % 197.15/197.32 ! [V_z,V_z_H] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__div__geq,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__iff__diff__le__0,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 197.15/197.32 <=> 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_less__iff__diff__less__0,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 197.15/197.32 <=> 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_eq__add__iff1,axiom, % 197.15/197.32 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 197.15/197.32 ( class_Rings_Oring(T_b) % 197.15/197.32 => ( 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) % 197.15/197.32 <=> 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 ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_eq__add__iff2,axiom, % 197.15/197.32 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 197.15/197.32 ( class_Rings_Oring(T_b) % 197.15/197.32 => ( 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) % 197.15/197.32 <=> 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) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__0,axiom, % 197.15/197.32 ! [V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 197.15/197.32 ! [V_y,V_x,T_a] : % 197.15/197.32 ( class_Rings_Ocomm__ring__1(T_a) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__def,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_ab__diff__minus,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Groups_Oab__group__add(T_a) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__minus__eq__add,axiom, % 197.15/197.32 ! [V_b,V_a,T_a] : % 197.15/197.32 ( class_Groups_Ogroup__add(T_a) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__1,axiom, % 197.15/197.32 ! [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 ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__less,axiom, % 197.15/197.32 ! [V_n,V_m] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__mult__div__cancel__disj,axiom, % 197.15/197.32 ! [V_n,V_m,V_k] : % 197.15/197.32 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => 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) ) % 197.15/197.32 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => 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) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mult1__eq,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__mult2__eq,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_less__bin__lemma,axiom, % 197.15/197.32 ! [V_l_2,V_k_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 197.15/197.32 <=> 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zero__less__diff,axiom, % 197.15/197.32 ! [V_m_2,V_na_2] : % 197.15/197.32 ( 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_na_2),V_m_2))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__less,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiv__int,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__less__Suc,axiom, % 197.15/197.32 ! [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))) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__add__0,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__is__0__eq_H,axiom, % 197.15/197.32 ! [V_n,V_m] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__is__0__eq,axiom, % 197.15/197.32 ! [V_na_2,V_m_2] : % 197.15/197.32 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_less__diff__conv,axiom, % 197.15/197.32 ! [V_k_2,V_j_2,V_i_2] : % 197.15/197.32 ( 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))) % 197.15/197.32 <=> 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_add__diff__inverse,axiom, % 197.15/197.32 ! [V_n,V_m] : % 197.15/197.32 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Suc__diff__le,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__less__mono,axiom, % 197.15/197.32 ! [V_c,V_b,V_a] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_less__diff__iff,axiom, % 197.15/197.32 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 197.15/197.32 => ( 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_na_2),V_k_2))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__add__assoc2,axiom, % 197.15/197.32 ! [V_i,V_j,V_k] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_add__diff__assoc2,axiom, % 197.15/197.32 ! [V_i,V_j,V_k] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__add__assoc,axiom, % 197.15/197.32 ! [V_i,V_j,V_k] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__imp__diff__is__add,axiom, % 197.15/197.32 ! [V_k_2,V_j_2,V_i_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 197.15/197.32 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 197.15/197.32 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__add__diff__inverse2,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__diff__conv2,axiom, % 197.15/197.32 ! [V_i_2,V_j_2,V_k_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_add__diff__assoc,axiom, % 197.15/197.32 ! [V_i,V_j,V_k] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__add__diff__inverse,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__add__diff,axiom, % 197.15/197.32 ! [V_m,V_n,V_k] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 197.15/197.32 => 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__diff__conv,axiom, % 197.15/197.32 ! [V_i_2,V_k_2,V_j_2] : % 197.15/197.32 ( 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)) % 197.15/197.32 <=> 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__diff__right,axiom, % 197.15/197.32 ! [V_i,V_j,V_k] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Ints__diff,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,T_b] : % 197.15/197.32 ( class_Rings_Oring__1(T_b) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 197.15/197.32 => 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))) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__int__def,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__int__def__symmetric,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__Suc__1,axiom, % 197.15/197.32 ! [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 ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__Suc__eq__diff__pred,axiom, % 197.15/197.32 ! [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) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__Suc,axiom, % 197.15/197.32 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(hAPP(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_na_2)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_tsub__eq,axiom, % 197.15/197.32 ! [V_x,V_y] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 197.15/197.32 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__add__iff1,axiom, % 197.15/197.32 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 197.15/197.32 ( class_Rings_Oordered__ring(T_b) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_le__add__iff2,axiom, % 197.15/197.32 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 197.15/197.32 ( class_Rings_Oordered__ring(T_b) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_less__add__iff1,axiom, % 197.15/197.32 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 197.15/197.32 ( class_Rings_Oordered__ring(T_b) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_less__add__iff2,axiom, % 197.15/197.32 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 197.15/197.32 ( class_Rings_Oordered__ring(T_b) % 197.15/197.32 => ( 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))) % 197.15/197.32 <=> 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__le__mono2,axiom, % 197.15/197.32 ! [V_k,V_n,V_m] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mult__self__is__m,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__mult__self1__is__m,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__mult__div__cancel1,axiom, % 197.15/197.32 ! [V_n,V_m,V_k] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_div__less__dividend,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Suc__pred,axiom, % 197.15/197.32 ! [V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__Suc__less,axiom, % 197.15/197.32 ! [V_i,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__diff__split__asm,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,V_P_2] : % 197.15/197.32 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 197.15/197.32 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 197.15/197.32 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 197.15/197.32 | ? [B_d] : % 197.15/197.32 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 197.15/197.32 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__diff__split,axiom, % 197.15/197.32 ! [V_b_2,V_a_2,V_P_2] : % 197.15/197.32 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 197.15/197.32 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 197.15/197.32 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 197.15/197.32 & ! [B_d] : % 197.15/197.32 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 197.15/197.32 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zle__diff1__eq,axiom, % 197.15/197.32 ! [V_z_2,V_w_2] : % 197.15/197.32 ( 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)))) % 197.15/197.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__Suc__diff__eq1,axiom, % 197.15/197.32 ! [V_m,V_j,V_k] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__Suc__diff__eq2,axiom, % 197.15/197.32 ! [V_m,V_j,V_k] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__eq__add__iff2,axiom, % 197.15/197.32 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 197.15/197.32 => ( 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_na_2) % 197.15/197.32 <=> 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_na_2) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__diff__add__eq2,axiom, % 197.15/197.32 ! [V_n,V_m,V_u,V_j,V_i] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__le__add__iff2,axiom, % 197.15/197.32 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 197.15/197.32 => ( 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_na_2))) % 197.15/197.32 <=> 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_na_2))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__eq__add__iff1,axiom, % 197.15/197.32 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 197.15/197.32 => ( 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_na_2) % 197.15/197.32 <=> 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_na_2 ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__diff__add__eq1,axiom, % 197.15/197.32 ! [V_n,V_m,V_u,V_i,V_j] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 197.15/197.32 => 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) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__le__add__iff1,axiom, % 197.15/197.32 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 197.15/197.32 => ( 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_na_2))) % 197.15/197.32 <=> 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_na_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__zminus1__eq__if,axiom, % 197.15/197.32 ! [V_b,V_a] : % 197.15/197.32 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => 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) ) % 197.15/197.32 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__zminus2__eq__if,axiom, % 197.15/197.32 ! [V_b,V_a] : % 197.15/197.32 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => 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) ) % 197.15/197.32 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.32 => 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) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmult__div__cancel,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zmod__zdiv__equality_H,axiom, % 197.15/197.32 ! [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)) ). % 197.15/197.32 % 197.15/197.32 fof(fact_tsub__def,axiom, % 197.15/197.32 ! [V_x,V_y] : % 197.15/197.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 197.15/197.32 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 197.15/197.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 197.15/197.32 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_split__div,axiom, % 197.15/197.32 ! [V_k_2,V_na_2,V_P_2] : % 197.15/197.32 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_na_2),V_k_2))) % 197.15/197.32 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 197.15/197.32 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => ! [B_i,B_j] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 197.15/197.32 => ( V_na_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) % 197.15/197.32 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 197.15/197.32 ! [V_y,V_x] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__div__distrib,axiom, % 197.15/197.32 ! [V_y,V_x] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.32 => 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)) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Suc__pred_H,axiom, % 197.15/197.32 ! [V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.32 => 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Suc__diff__1,axiom, % 197.15/197.32 ! [V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.32 => 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 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__less__add__iff1,axiom, % 197.15/197.32 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 197.15/197.32 => ( 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_na_2))) % 197.15/197.32 <=> 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_na_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__less__add__iff2,axiom, % 197.15/197.32 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 197.15/197.32 => ( 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_na_2))) % 197.15/197.32 <=> 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_na_2))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_add__eq__if,axiom, % 197.15/197.32 ! [V_n,V_m] : % 197.15/197.32 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 197.15/197.32 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mult__eq__if,axiom, % 197.15/197.32 ! [V_n,V_m] : % 197.15/197.32 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 197.15/197.32 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_power__eq__if,axiom, % 197.15/197.32 ! [V_p,V_m] : % 197.15/197.32 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 197.15/197.32 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => 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)))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 197.15/197.32 ! [V_y,V_x] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_zdiff__int__split,axiom, % 197.15/197.32 ! [V_y_2,V_x_2,V_P_2] : % 197.15/197.32 ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2)))) % 197.15/197.32 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 197.15/197.32 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) ) % 197.15/197.32 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 197.15/197.32 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_diff__nat__eq__if,axiom, % 197.15/197.32 ! [V_z_2,V_z_H_2] : % 197.15/197.32 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 197.15/197.32 => 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) ) % 197.15/197.32 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__mod__eq__lemma,axiom, % 197.15/197.32 ! [V_y,V_n,V_x] : % 197.15/197.32 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 197.15/197.32 => ? [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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_mod__induct__0,axiom, % 197.15/197.32 ! [V_i_2,V_P_2,V_p_2] : % 197.15/197.32 ( ! [B_i] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 197.15/197.32 => ( hBOOL(hAPP(V_P_2,B_i)) % 197.15/197.32 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 197.15/197.32 => ( hBOOL(hAPP(V_P_2,V_i_2)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 197.15/197.32 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_expand__Suc,axiom, % 197.15/197.32 ! [V_v] : % 197.15/197.32 ( 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))) % 197.15/197.32 => 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))) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_nat__gcd_Osimps,axiom, % 197.15/197.32 ! [V_x,V_y] : % 197.15/197.32 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 197.15/197.32 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_divmod__nat__step,axiom, % 197.15/197.32 ! [V_m,V_n] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.15/197.32 => 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)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_DiffI,axiom, % 197.15/197.32 ! [V_B_2,V_A_2,V_c_2,T_b] : % 197.15/197.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.15/197.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 197.15/197.32 => 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))) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_DiffE,axiom, % 197.15/197.32 ! [V_B_2,V_A_2,V_c_2,T_b] : % 197.15/197.32 ( 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))) % 197.15/197.32 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.15/197.32 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_pred__equals__eq2,axiom, % 197.15/197.32 ! [V_S_2,V_R_2,T_c,T_b] : % 197.15/197.32 ( 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) % 197.15/197.32 <=> V_R_2 = V_S_2 ) ). % 197.15/197.32 % 197.15/197.32 fof(fact_of__nat__number__of__eq,axiom, % 197.15/197.32 ! [V_v,T_a] : % 197.15/197.32 ( class_Int_Onumber__ring(T_a) % 197.15/197.32 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.32 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_eq__number__of,axiom, % 197.15/197.33 ! [V_y_2,V_x_2,T_b] : % 197.15/197.33 ( ( class_Int_Onumber__ring(T_b) % 197.15/197.33 & class_Int_Oring__char__0(T_b) ) % 197.15/197.33 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 197.15/197.33 <=> V_x_2 = V_y_2 ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of__reorient,axiom, % 197.15/197.33 ! [V_x_2,V_w_2,T_b] : % 197.15/197.33 ( class_Int_Onumber(T_b) % 197.15/197.33 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2 % 197.15/197.33 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__nat__zero,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_of__int__number__of__eq,axiom, % 197.15/197.33 ! [V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_pred__subset__eq2,axiom, % 197.15/197.33 ! [V_S_2,V_R_2,T_c,T_b] : % 197.15/197.33 ( 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))) % 197.15/197.33 <=> 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Diff__iff,axiom, % 197.15/197.33 ! [V_B_2,V_A_2,V_c_2,T_b] : % 197.15/197.33 ( 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))) % 197.15/197.33 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.15/197.33 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_DiffD1,axiom, % 197.15/197.33 ! [V_B_2,V_A_2,V_c_2,T_b] : % 197.15/197.33 ( 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))) % 197.15/197.33 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_DiffD2,axiom, % 197.15/197.33 ! [V_B_2,V_A_2,V_c_2,T_b] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_double__diff,axiom, % 197.15/197.33 ! [V_C_2,V_B_2,V_A_2,T_b] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 197.15/197.33 => 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 ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Diff__mono,axiom, % 197.15/197.33 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2)) % 197.15/197.33 => 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))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Diff__subset,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_of__nat__number__of__lemma,axiom, % 197.15/197.33 ! [V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => ( ( 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))) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ 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))) % 197.15/197.33 => 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) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of__eq,axiom, % 197.15/197.33 ! [V_k,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__nat__base,axiom, % 197.15/197.33 ! [V_n,V_m] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_not__neg__0,axiom, % 197.15/197.33 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_not__neg__int,axiom, % 197.15/197.33 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_not__neg__1,axiom, % 197.15/197.33 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__nat__div__mod,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_le__number__of__eq__not__less,axiom, % 197.15/197.33 ! [V_w_2,V_v_2,T_b] : % 197.15/197.33 ( ( class_Int_Onumber(T_b) % 197.15/197.33 & class_Orderings_Olinorder(T_b) ) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> ~ 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))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_left__distrib__number__of,axiom, % 197.15/197.33 ! [V_v,V_b,V_a,T_b] : % 197.15/197.33 ( ( class_Int_Onumber(T_b) % 197.15/197.33 & class_Rings_Osemiring(T_b) ) % 197.15/197.33 => 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_right__distrib__number__of,axiom, % 197.15/197.33 ! [V_c,V_b,V_v,T_b] : % 197.15/197.33 ( ( class_Int_Onumber(T_b) % 197.15/197.33 & class_Rings_Osemiring(T_b) ) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_left__diff__distrib__number__of,axiom, % 197.15/197.33 ! [V_v,V_b,V_a,T_b] : % 197.15/197.33 ( ( class_Int_Onumber(T_b) % 197.15/197.33 & class_Rings_Oring(T_b) ) % 197.15/197.33 => 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_right__diff__distrib__number__of,axiom, % 197.15/197.33 ! [V_c,V_b,V_v,T_b] : % 197.15/197.33 ( ( class_Int_Onumber(T_b) % 197.15/197.33 & class_Rings_Oring(T_b) ) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_le__number__of,axiom, % 197.15/197.33 ! [V_y_2,V_x_2,T_b] : % 197.15/197.33 ( ( class_Int_Onumber__ring(T_b) % 197.15/197.33 & class_Rings_Olinordered__idom(T_b) ) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__number__of,axiom, % 197.15/197.33 ! [V_y_2,V_x_2,T_b] : % 197.15/197.33 ( ( class_Int_Onumber__ring(T_b) % 197.15/197.33 & class_Rings_Olinordered__idom(T_b) ) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of__add,axiom, % 197.15/197.33 ! [V_w,V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__number__of__eq,axiom, % 197.15/197.33 ! [V_w,V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__number__of__left,axiom, % 197.15/197.33 ! [V_z,V_w,V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mult__number__of__left,axiom, % 197.15/197.33 ! [V_z,V_w,V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_arith__simps_I32_J,axiom, % 197.15/197.33 ! [V_w,V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of__mult,axiom, % 197.15/197.33 ! [V_w,V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of__diff,axiom, % 197.15/197.33 ! [V_w,V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of__minus,axiom, % 197.15/197.33 ! [V_w,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_arith__simps_I30_J,axiom, % 197.15/197.33 ! [V_w,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Ints__number__of,axiom, % 197.15/197.33 ! [V_w_2,T_b] : % 197.15/197.33 ( class_Int_Onumber__ring(T_b) % 197.15/197.33 => 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_not__neg__eq__ge__0,axiom, % 197.15/197.33 ! [V_x_2] : % 197.15/197.33 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_neg__def,axiom, % 197.15/197.33 ! [V_Z_2] : % 197.15/197.33 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_neg__nat,axiom, % 197.15/197.33 ! [V_z] : % 197.15/197.33 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 197.15/197.33 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_not__neg__nat,axiom, % 197.15/197.33 ! [V_z] : % 197.15/197.33 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 197.15/197.33 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__number__of__diff1,axiom, % 197.15/197.33 ! [V_c,V_w,V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_minus__number__of__mult,axiom, % 197.15/197.33 ! [V_z,V_w,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__number__of__eq,axiom, % 197.15/197.33 ! [V_w,V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_neg__zminus__int,axiom, % 197.15/197.33 ! [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))))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__number__of__diff2,axiom, % 197.15/197.33 ! [V_w,V_c,V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Nitpick_Onat__lcm__def,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_in__rel__def,axiom, % 197.15/197.33 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2)) % 197.15/197.33 <=> 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 197.15/197.33 ! [V_c,V_r,V_q,V_b,V_a] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 197.15/197.33 => 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)))) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 197.15/197.33 ! [V_a,V_r,V_q,V_c,V_b] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 197.15/197.33 => 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)))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__nat__rel__add1__eq,axiom, % 197.15/197.33 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( 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))) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 197.15/197.33 => 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)))) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_one__mod__nat__number__of,axiom, % 197.15/197.33 ! [V_v_H] : % 197.15/197.33 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 197.15/197.33 => 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)) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 197.15/197.33 => 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))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Nitpick_Orefl_H__def,axiom, % 197.15/197.33 ! [V_r_2,T_b] : % 197.15/197.33 ( c_Nitpick_Orefl_H(T_b,V_r_2) % 197.15/197.33 <=> ! [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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Diff__idemp,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of__is__id,axiom, % 197.15/197.33 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 197.15/197.33 % 197.15/197.33 fof(fact_rev__predicate2D,axiom, % 197.15/197.33 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_P_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2)) % 197.15/197.33 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_predicate2D,axiom, % 197.15/197.33 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_c,T_b] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2)) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 197.15/197.33 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__nat__rel__unique,axiom, % 197.15/197.33 ! [V_qr_H,V_qr,V_n,V_m] : % 197.15/197.33 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 197.15/197.33 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 197.15/197.33 => V_qr = V_qr_H ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__eq__number__of__int__code,axiom, % 197.15/197.33 ! [V_l_2,V_k_2] : % 197.15/197.33 ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__number__of__int__code,axiom, % 197.15/197.33 ! [V_l_2,V_k_2] : % 197.15/197.33 ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_plus__numeral__code_I9_J,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_times__numeral__code_I5_J,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_minus__numeral__code_I5_J,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_int__number__of__def,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__number__of,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__number__of__def,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 197.15/197.33 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__nat__eq,axiom, % 197.15/197.33 ! [V_qr,V_n,V_m] : % 197.15/197.33 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 197.15/197.33 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_minus__numeral__code_I6_J,axiom, % 197.15/197.33 ! [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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_neg__imp__number__of__eq__0,axiom, % 197.15/197.33 ! [V_v] : % 197.15/197.33 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mod__eq,axiom, % 197.15/197.33 ! [V_r,V_q,V_n,V_m] : % 197.15/197.33 ( 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))) % 197.15/197.33 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_div__eq,axiom, % 197.15/197.33 ! [V_r,V_q,V_n,V_m] : % 197.15/197.33 ( 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))) % 197.15/197.33 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_int__eq__iff__number__of,axiom, % 197.15/197.33 ! [V_v_2,V_m_2] : % 197.15/197.33 ( 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) % 197.15/197.33 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 197.15/197.33 & 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))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_eq__nat__number__of,axiom, % 197.15/197.33 ! [V_v_H_2,V_v_2] : % 197.15/197.33 ( 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) % 197.15/197.33 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 197.15/197.33 => 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))) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 197.15/197.33 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 197.15/197.33 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 197.15/197.33 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__number__of__add__left,axiom, % 197.15/197.33 ! [V_k,V_v_H,V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 197.15/197.33 => 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) ) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_int__nat__number__of,axiom, % 197.15/197.33 ! [V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__nat__rel,axiom, % 197.15/197.33 ! [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)))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mod__nat__number__of,axiom, % 197.15/197.33 ! [V_v_H,V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 197.15/197.33 => 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))) ) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_div__nat__number__of,axiom, % 197.15/197.33 ! [V_v_H,V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power__nat__number__of,axiom, % 197.15/197.33 ! [V_n,V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power__nat__number__of__number__of,axiom, % 197.15/197.33 ! [V_w,V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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)) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_one__div__nat__number__of,axiom, % 197.15/197.33 ! [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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__pow__Suc__I,axiom, % 197.15/197.33 ! [V_z_2,V_R_2,V_na_2,V_y_2,V_x_2,T_b] : % 197.15/197.33 ( 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_na_2),V_R_2))) % 197.15/197.33 => ( 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)) % 197.15/197.33 => 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_na_2)),V_R_2))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__pow__Suc__I2,axiom, % 197.15/197.33 ! [V_na_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] : % 197.15/197.33 ( 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)) % 197.15/197.33 => ( 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_na_2),V_R_2))) % 197.15/197.33 => 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_na_2)),V_R_2))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__pow__0__E,axiom, % 197.15/197.33 ! [V_R_2,V_y_2,V_x_2,T_b] : % 197.15/197.33 ( 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))) % 197.15/197.33 => V_x_2 = V_y_2 ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__pow__0__I,axiom, % 197.15/197.33 ! [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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Suc__nat__number__of__add,axiom, % 197.15/197.33 ! [V_n,V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__nat__number__of,axiom, % 197.15/197.33 ! [V_v_2,V_v_H_2] : % 197.15/197.33 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 197.15/197.33 => 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)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Pls__def,axiom, % 197.15/197.33 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I19_J,axiom, % 197.15/197.33 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I2_J,axiom, % 197.15/197.33 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__Pls,axiom, % 197.15/197.33 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__Pls__right,axiom, % 197.15/197.33 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 197.15/197.33 % 197.15/197.33 fof(fact_mult__Pls,axiom, % 197.15/197.33 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__bin__simps_I1_J,axiom, % 197.15/197.33 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 197.15/197.33 % 197.15/197.33 fof(fact_minus__Pls,axiom, % 197.15/197.33 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 197.15/197.33 % 197.15/197.33 fof(fact_semiring__norm_I112_J,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of__Pls,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__numeral__0,axiom, % 197.15/197.33 ! [V_a,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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 ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__numeral__0__right,axiom, % 197.15/197.33 ! [V_a,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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 ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_bin__less__0__simps_I1_J,axiom, % 197.15/197.33 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_semiring__norm_I113_J,axiom, % 197.15/197.33 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__number__of__Pls,axiom, % 197.15/197.33 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zero__is__num__zero,axiom, % 197.15/197.33 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 197.15/197.33 % 197.15/197.33 fof(fact_not__neg__number__of__Pls,axiom, % 197.15/197.33 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__1__add__number__of,axiom, % 197.15/197.33 ! [V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 197.15/197.33 => 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)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__number__of__add__1,axiom, % 197.15/197.33 ! [V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 197.15/197.33 => 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)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_eq__number__of__0,axiom, % 197.15/197.33 ! [V_v_2] : % 197.15/197.33 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_eq__0__number__of,axiom, % 197.15/197.33 ! [V_v_2] : % 197.15/197.33 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of2,axiom, % 197.15/197.33 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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__nat__number__of,axiom, % 197.15/197.33 ! [V_v_H_2,V_v_2] : % 197.15/197.33 ( 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))) % 197.15/197.33 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 197.15/197.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 197.15/197.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_le__nat__number__of,axiom, % 197.15/197.33 ! [V_v_H_2,V_v_2] : % 197.15/197.33 ( 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))) % 197.15/197.33 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 197.15/197.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_succ__def,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__pow__1,axiom, % 197.15/197.33 ! [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 ). % 197.15/197.33 % 197.15/197.33 fof(fact_le__special_I1_J,axiom, % 197.15/197.33 ! [V_y_2,T_b] : % 197.15/197.33 ( ( class_Int_Onumber__ring(T_b) % 197.15/197.33 & class_Rings_Olinordered__idom(T_b) ) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_le__special_I3_J,axiom, % 197.15/197.33 ! [V_x_2,T_b] : % 197.15/197.33 ( ( class_Int_Onumber__ring(T_b) % 197.15/197.33 & class_Rings_Olinordered__idom(T_b) ) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__special_I3_J,axiom, % 197.15/197.33 ! [V_x_2,T_b] : % 197.15/197.33 ( ( class_Int_Onumber__ring(T_b) % 197.15/197.33 & class_Rings_Olinordered__idom(T_b) ) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__special_I1_J,axiom, % 197.15/197.33 ! [V_y_2,T_b] : % 197.15/197.33 ( ( class_Int_Onumber__ring(T_b) % 197.15/197.33 & class_Rings_Olinordered__idom(T_b) ) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__0__number__of,axiom, % 197.15/197.33 ! [V_v_2] : % 197.15/197.33 ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__nat__number__of,axiom, % 197.15/197.33 ! [V_v_H,V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 197.15/197.33 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 197.15/197.33 => 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)) ) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Nats__number__of,axiom, % 197.15/197.33 ! [V_w_2,T_b] : % 197.15/197.33 ( class_Int_Onumber__ring(T_b) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 197.15/197.33 => 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))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of__succ,axiom, % 197.15/197.33 ! [V_k,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__number__of__mult__left,axiom, % 197.15/197.33 ! [V_k,V_v_H,V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 197.15/197.33 => 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) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mult__nat__number__of,axiom, % 197.15/197.33 ! [V_v_H,V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 197.15/197.33 => 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)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Suc__nat__number__of,axiom, % 197.15/197.33 ! [V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 197.15/197.33 => 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)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_in__measure,axiom, % 197.15/197.33 ! [V_f_2,V_y_2,V_x_2,T_b] : % 197.15/197.33 ( 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))) % 197.15/197.33 <=> 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__rec__add__eq__if,axiom, % 197.15/197.33 ! [V_na_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_na_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_na_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_na_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_na_2))))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__case__add__eq__if,axiom, % 197.15/197.33 ! [V_na_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(hAPP(hAPP(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_na_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(hAPP(hAPP(c_Nat_Onat_Onat__case(T_b),V_a_2),V_f_2),V_na_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_na_2)))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_eq__special_I3_J,axiom, % 197.15/197.33 ! [V_x_2,T_b] : % 197.15/197.33 ( class_Int_Onumber__ring(T_b) % 197.15/197.33 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.33 <=> 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)))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_eq__special_I1_J,axiom, % 197.15/197.33 ! [V_y_2,T_b] : % 197.15/197.33 ( class_Int_Onumber__ring(T_b) % 197.15/197.33 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 197.15/197.33 <=> 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)))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_le__number__of__Suc,axiom, % 197.15/197.33 ! [V_na_2,V_v_2] : % 197.15/197.33 ( 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_na_2))) % 197.15/197.33 <=> 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_na_2)))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_succ__pred,axiom, % 197.15/197.33 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 197.15/197.33 % 197.15/197.33 fof(fact_iszero__def,axiom, % 197.15/197.33 ! [V_z_2,T_b] : % 197.15/197.33 ( class_Rings_Osemiring__1(T_b) % 197.15/197.33 => ( c_Int_Oiszero(T_b,V_z_2) % 197.15/197.33 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_iszero__0,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Rings_Osemiring__1(T_a) % 197.15/197.33 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_not__iszero__1,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Rings_Osemiring__1(T_a) % 197.15/197.33 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_le__iff__pred__less,axiom, % 197.15/197.33 ! [V_l_2,V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_pred__def,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_iszero__Numeral0,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of__pred,axiom, % 197.15/197.33 ! [V_w,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_neg__number__of__pred__iff__0,axiom, % 197.15/197.33 ! [V_v_2] : % 197.15/197.33 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 197.15/197.33 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_eq__number__of__eq,axiom, % 197.15/197.33 ! [V_y_2,V_x_2,T_b] : % 197.15/197.33 ( class_Int_Onumber__ring(T_b) % 197.15/197.33 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 197.15/197.33 <=> 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)))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Suc__diff__number__of,axiom, % 197.15/197.33 ! [V_m,V_v] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 197.15/197.33 => 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_eq__number__of__Suc,axiom, % 197.15/197.33 ! [V_na_2,V_v_2] : % 197.15/197.33 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_na_2) % 197.15/197.33 <=> 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_na_2))))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Suc__eq__number__of,axiom, % 197.15/197.33 ! [V_v_2,V_na_2] : % 197.15/197.33 ( hAPP(c_Nat_OSuc,V_na_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 197.15/197.33 <=> 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_na_2))))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__case__number__of,axiom, % 197.15/197.33 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(hAPP(hAPP(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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__rec__number__of,axiom, % 197.15/197.33 ! [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)))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__number__of__diff__1,axiom, % 197.15/197.33 ! [V_v] : % 197.15/197.33 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 197.15/197.33 => 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)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__Suc__number__of,axiom, % 197.15/197.33 ! [V_v_2,V_na_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 197.15/197.33 <=> 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_na_2)),c_Int_Onat))))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__number__of__Suc,axiom, % 197.15/197.33 ! [V_na_2,V_v_2] : % 197.15/197.33 ( 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_na_2))) % 197.15/197.33 <=> 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_na_2)))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_le__Suc__number__of,axiom, % 197.15/197.33 ! [V_v_2,V_na_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 197.15/197.33 <=> 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_na_2)),c_Int_Onat))))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power__number__of__odd__number__of,axiom, % 197.15/197.33 ! [V_v_2,V_w_2,T_b] : % 197.15/197.33 ( class_Int_Onumber__ring(T_b) % 197.15/197.33 => ( ( 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))) % 197.15/197.33 => 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))) ) % 197.15/197.33 & ( ~ 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))) % 197.15/197.33 => 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) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zmult2__lemma,axiom, % 197.15/197.33 ! [V_c,V_r,V_q,V_b,V_a] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 197.15/197.33 => 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)))) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mlex__leq,axiom, % 197.15/197.33 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( 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)) % 197.15/197.33 => 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))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mlex__less,axiom, % 197.15/197.33 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 197.15/197.33 ( 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))) % 197.15/197.33 => 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zpower__number__of__odd,axiom, % 197.15/197.33 ! [V_z_2,V_w_2] : % 197.15/197.33 ( ( 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))) % 197.15/197.33 => 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))) ) % 197.15/197.33 & ( ~ 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))) % 197.15/197.33 => 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) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__number__of__Suc,axiom, % 197.15/197.33 ! [V_v_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_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_na_2)),c_Int_Onat)))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I51_J,axiom, % 197.15/197.33 ! [V_l_2,V_k_2] : % 197.15/197.33 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 197.15/197.33 <=> V_k_2 = V_l_2 ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf__assoc,axiom, % 197.15/197.33 ! [V_z,V_y,V_x,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf_Oassoc,axiom, % 197.15/197.33 ! [V_c,V_b,V_a,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf__left__commute,axiom, % 197.15/197.33 ! [V_z,V_y,V_x,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 197.15/197.33 ! [V_c,V_a,V_b,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf__left__idem,axiom, % 197.15/197.33 ! [V_y,V_x,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 197.15/197.33 ! [V_b,V_a,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf__commute,axiom, % 197.15/197.33 ! [V_y,V_x,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf_Ocommute,axiom, % 197.15/197.33 ! [V_b,V_a,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf_Oidem,axiom, % 197.15/197.33 ! [V_a,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Ole__infE,axiom, % 197.15/197.33 ! [V_b,V_a,V_x,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => ( 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))) % 197.15/197.33 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 197.15/197.33 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf__mono,axiom, % 197.15/197.33 ! [V_d,V_b,V_c,V_a,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 197.15/197.33 => 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))) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf__greatest,axiom, % 197.15/197.33 ! [V_z,V_y,V_x,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 197.15/197.33 => 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))) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Ole__infI,axiom, % 197.15/197.33 ! [V_b,V_a,V_x,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 197.15/197.33 => 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))) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf__absorb2,axiom, % 197.15/197.33 ! [V_x,V_y,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 197.15/197.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf__absorb1,axiom, % 197.15/197.33 ! [V_y,V_x,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.15/197.33 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Ole__infI2,axiom, % 197.15/197.33 ! [V_a,V_x,V_b,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 197.15/197.33 => 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)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Ole__infI1,axiom, % 197.15/197.33 ! [V_b,V_x,V_a,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 197.15/197.33 => 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)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Ole__inf__iff,axiom, % 197.15/197.33 ! [V_z_2,V_y_2,V_x_2,T_b] : % 197.15/197.33 ( class_Orderings_Olinorder(T_b) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.15/197.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Ole__iff__inf,axiom, % 197.15/197.33 ! [V_y_2,V_x_2,T_b] : % 197.15/197.33 ( class_Orderings_Olinorder(T_b) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.15/197.33 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf__le2,axiom, % 197.15/197.33 ! [V_y,V_x,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oinf__le1,axiom, % 197.15/197.33 ! [V_y,V_x,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__le__iff__disj,axiom, % 197.15/197.33 ! [V_z_2,V_y_2,V_x_2,T_b] : % 197.15/197.33 ( class_Orderings_Olinorder(T_b) % 197.15/197.33 => ( 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)) % 197.15/197.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 197.15/197.33 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oless__infI1,axiom, % 197.15/197.33 ! [V_b,V_x,V_a,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 197.15/197.33 => 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)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__max_Oless__infI2,axiom, % 197.15/197.33 ! [V_a,V_x,V_b,T_a] : % 197.15/197.33 ( class_Orderings_Olinorder(T_a) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 197.15/197.33 => 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)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__less__iff__disj,axiom, % 197.15/197.33 ! [V_z_2,V_y_2,V_x_2,T_b] : % 197.15/197.33 ( class_Orderings_Olinorder(T_b) % 197.15/197.33 => ( 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)) % 197.15/197.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 197.15/197.33 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__less__iff__conj,axiom, % 197.15/197.33 ! [V_y_2,V_x_2,V_z_2,T_b] : % 197.15/197.33 ( class_Orderings_Olinorder(T_b) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 197.15/197.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__add__distrib__left,axiom, % 197.15/197.33 ! [V_z,V_y,V_x,T_a] : % 197.15/197.33 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__diff__distrib__left,axiom, % 197.15/197.33 ! [V_z,V_y,V_x,T_a] : % 197.15/197.33 ( class_Groups_Oordered__ab__group__add(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__0R,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__0L,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__Suc__Suc,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I34_J,axiom, % 197.15/197.33 ! [V_l_2,V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__eq__int__code_I16_J,axiom, % 197.15/197.33 ! [V_k2_2,V_k1_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I17_J,axiom, % 197.15/197.33 ! [V_l_2,V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__int__code_I16_J,axiom, % 197.15/197.33 ! [V_k2_2,V_k1_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__diff,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I46_J,axiom, % 197.15/197.33 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I39_J,axiom, % 197.15/197.33 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 197.15/197.33 % 197.15/197.33 fof(fact_unique__remainder,axiom, % 197.15/197.33 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( 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))) % 197.15/197.33 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => V_r = V_r_H ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_unique__quotient,axiom, % 197.15/197.33 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( 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))) % 197.15/197.33 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => V_q = V_q_H ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_self__remainder,axiom, % 197.15/197.33 ! [V_r,V_q,V_a] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__int__rel__0,axiom, % 197.15/197.33 ! [V_b] : % 197.15/197.33 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => 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)))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__number__of,axiom, % 197.15/197.33 ! [V_v,V_u,T_b] : % 197.15/197.33 ( ( class_Int_Onumber(T_b) % 197.15/197.33 & class_Orderings_Oord(T_b) ) % 197.15/197.33 => ( ( 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))) % 197.15/197.33 => 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) ) % 197.15/197.33 & ( ~ 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))) % 197.15/197.33 => 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) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_bin__less__0__simps_I4_J,axiom, % 197.15/197.33 ! [V_w_2] : % 197.15/197.33 ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I22_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I12_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Bit1__def,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_neg__number__of__Bit1,axiom, % 197.15/197.33 ! [V_w_2] : % 197.15/197.33 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 197.15/197.33 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_minus__Bit1,axiom, % 197.15/197.33 ! [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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_iszero__number__of__Bit1,axiom, % 197.15/197.33 ! [V_w,T_a] : % 197.15/197.33 ( ( class_Int_Onumber__ring(T_a) % 197.15/197.33 & class_Int_Oring__char__0(T_a) ) % 197.15/197.33 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_succ__Pls,axiom, % 197.15/197.33 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 197.15/197.33 % 197.15/197.33 fof(fact_self__quotient,axiom, % 197.15/197.33 ! [V_r,V_q,V_a] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__int__rel__mod,axiom, % 197.15/197.33 ! [V_r,V_q,V_b,V_a] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__int__rel__div,axiom, % 197.15/197.33 ! [V_r,V_q,V_b,V_a] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of__Bit1,axiom, % 197.15/197.33 ! [V_w,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mult__numeral__1,axiom, % 197.15/197.33 ! [V_a,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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 ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mult__numeral__1__right,axiom, % 197.15/197.33 ! [V_a,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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 ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_semiring__norm_I110_J,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_numeral__1__eq__1,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I5_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I29_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_one__is__num__one,axiom, % 197.15/197.33 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Numeral1__eq1__nat,axiom, % 197.15/197.33 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__numeral__1__eq__1,axiom, % 197.15/197.33 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 197.15/197.33 % 197.15/197.33 fof(fact_not__iszero__Numeral1,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__Suc2,axiom, % 197.15/197.33 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(hAPP(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_na_2))),V_m_2) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__Suc1,axiom, % 197.15/197.33 ! [V_m_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2) = hAPP(hAPP(hAPP(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_na_2))),V_m_2) ). % 197.15/197.33 % 197.15/197.33 fof(fact_numeral__1__eq__Suc__0,axiom, % 197.15/197.33 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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_numeral__3__eq__3,axiom, % 197.15/197.33 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)))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power3__eq__cube,axiom, % 197.15/197.33 ! [V_a,T_a] : % 197.15/197.33 ( class_Groups_Omonoid__mult(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 197.15/197.33 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))))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Suc3__eq__add__3,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 197.15/197.33 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)))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 197.15/197.33 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)))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__int__rel__div__mod,axiom, % 197.15/197.33 ! [V_a,V_b] : % 197.15/197.33 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => 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)))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_le__special_I2_J,axiom, % 197.15/197.33 ! [V_y_2,T_b] : % 197.15/197.33 ( ( class_Int_Onumber__ring(T_b) % 197.15/197.33 & class_Rings_Olinordered__idom(T_b) ) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_le__special_I4_J,axiom, % 197.15/197.33 ! [V_x_2,T_b] : % 197.15/197.33 ( ( class_Int_Onumber__ring(T_b) % 197.15/197.33 & class_Rings_Olinordered__idom(T_b) ) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__special_I4_J,axiom, % 197.15/197.33 ! [V_x_2,T_b] : % 197.15/197.33 ( ( class_Int_Onumber__ring(T_b) % 197.15/197.33 & class_Rings_Olinordered__idom(T_b) ) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__special_I2_J,axiom, % 197.15/197.33 ! [V_y_2,T_b] : % 197.15/197.33 ( ( class_Int_Onumber__ring(T_b) % 197.15/197.33 & class_Rings_Olinordered__idom(T_b) ) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__special_I2_J,axiom, % 197.15/197.33 ! [V_w,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__special_I3_J,axiom, % 197.15/197.33 ! [V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Suc__diff__eq__diff__pred,axiom, % 197.15/197.33 ! [V_m,V_n] : % 197.15/197.33 ( 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)) % 197.15/197.33 => 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)))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mod__Suc__eq__mod__add3,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Suc__mod__eq__add3__mod,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Suc__div__eq__add3__div,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_div__Suc__eq__div__add3,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zadd1__lemma,axiom, % 197.15/197.33 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( 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))) % 197.15/197.33 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => 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)))) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zminus1__lemma,axiom, % 197.15/197.33 ! [V_r_2,V_q_2,V_b_2,V_a_2] : % 197.15/197.33 ( 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))) % 197.15/197.33 => 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))))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__special_I2_J,axiom, % 197.15/197.33 ! [V_v,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__special_I1_J,axiom, % 197.15/197.33 ! [V_w,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_eq__special_I4_J,axiom, % 197.15/197.33 ! [V_x_2,T_b] : % 197.15/197.33 ( class_Int_Onumber__ring(T_b) % 197.15/197.33 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 197.15/197.33 <=> 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))))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_eq__special_I2_J,axiom, % 197.15/197.33 ! [V_y_2,T_b] : % 197.15/197.33 ( class_Int_Onumber__ring(T_b) % 197.15/197.33 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 197.15/197.33 <=> 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)))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__number__of__Bit1,axiom, % 197.15/197.33 ! [V_w_2] : % 197.15/197.33 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 197.15/197.33 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 197.15/197.33 => 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)))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__int__relI,axiom, % 197.15/197.33 ! [V_r,V_q,V_b,V_a] : % 197.15/197.33 ( 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) % 197.15/197.33 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 197.15/197.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 197.15/197.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 197.15/197.33 => 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))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zmult1__lemma,axiom, % 197.15/197.33 ! [V_a,V_r,V_q,V_c,V_b] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => 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)))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power__number__of__odd,axiom, % 197.15/197.33 ! [V_z_2,V_w_2,T_b] : % 197.15/197.33 ( class_Int_Onumber__ring(T_b) % 197.15/197.33 => ( ( 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))) % 197.15/197.33 => 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))) ) % 197.15/197.33 & ( ~ 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))) % 197.15/197.33 => 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) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__Suc__number__of,axiom, % 197.15/197.33 ! [V_na_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_na_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_na_2)))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_neg__zmod__mult__2,axiom, % 197.15/197.33 ! [V_b,V_a] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zmod__number__of__Bit1,axiom, % 197.15/197.33 ! [V_v,V_w] : % 197.15/197.33 ( ( 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))) % 197.15/197.33 => 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)) ) % 197.15/197.33 & ( ~ 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))) % 197.15/197.33 => 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)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_neg__zdiv__mult__2,axiom, % 197.15/197.33 ! [V_b,V_a] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_pos__zdiv__mult__2,axiom, % 197.15/197.33 ! [V_b,V_a] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_pos__zmod__mult__2,axiom, % 197.15/197.33 ! [V_b,V_a] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.33 => 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_of__nat__double,axiom, % 197.15/197.33 ! [V_x,T_a] : % 197.15/197.33 ( class_Rings_Osemiring__1(T_a) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 197.15/197.33 => 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))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I48_J,axiom, % 197.15/197.33 ! [V_l_2,V_k_2] : % 197.15/197.33 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 197.15/197.33 <=> V_k_2 = V_l_2 ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__eq__int__code_I13_J,axiom, % 197.15/197.33 ! [V_k2_2,V_k1_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I31_J,axiom, % 197.15/197.33 ! [V_l_2,V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__int__code_I13_J,axiom, % 197.15/197.33 ! [V_k2_2,V_k1_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I14_J,axiom, % 197.15/197.33 ! [V_l_2,V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Bit0__Pls,axiom, % 197.15/197.33 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I38_J,axiom, % 197.15/197.33 ! [V_l_2] : % 197.15/197.33 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 197.15/197.33 <=> c_Int_OPls = V_l_2 ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I44_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 197.15/197.33 <=> V_k_2 = c_Int_OPls ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I49_J,axiom, % 197.15/197.33 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I50_J,axiom, % 197.15/197.33 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__Bit0__Bit0,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Bit0__def,axiom, % 197.15/197.33 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mult__Bit0,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__bin__simps_I7_J,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_minus__Bit0,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_bin__less__0__simps_I3_J,axiom, % 197.15/197.33 ! [V_w_2] : % 197.15/197.33 ( 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))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I21_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I27_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I32_J,axiom, % 197.15/197.33 ! [V_l_2,V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__eq__int__code_I14_J,axiom, % 197.15/197.33 ! [V_k2_2,V_k1_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I10_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I4_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__int__code_I15_J,axiom, % 197.15/197.33 ! [V_k2_2,V_k1_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I16_J,axiom, % 197.15/197.33 ! [V_l_2,V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__Bit0__Bit1,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__Bit1__Bit0,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__bin__simps_I3_J,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__bin__simps_I10_J,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__bin__simps_I9_J,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zdiv__number__of__Bit0,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_neg__number__of__Bit0,axiom, % 197.15/197.33 ! [V_w_2] : % 197.15/197.33 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 197.15/197.33 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_pred__Bit0,axiom, % 197.15/197.33 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_pred__Bit1,axiom, % 197.15/197.33 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 197.15/197.33 % 197.15/197.33 fof(fact_iszero__number__of__Bit0,axiom, % 197.15/197.33 ! [V_w_2,T_b] : % 197.15/197.33 ( ( class_Int_Onumber__ring(T_b) % 197.15/197.33 & class_Int_Oring__char__0(T_b) ) % 197.15/197.33 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2))) % 197.15/197.33 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_succ__Bit1,axiom, % 197.15/197.33 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_succ__Bit0,axiom, % 197.15/197.33 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__number__of__Bit0,axiom, % 197.15/197.33 ! [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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of__Bit0,axiom, % 197.15/197.33 ! [V_w,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__eq__int__code_I15_J,axiom, % 197.15/197.33 ! [V_k2_2,V_k1_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I33_J,axiom, % 197.15/197.33 ! [V_l_2,V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__int__code_I14_J,axiom, % 197.15/197.33 ! [V_k2_2,V_k1_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I15_J,axiom, % 197.15/197.33 ! [V_l_2,V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mult__Bit1,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__bin__simps_I8_J,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__Bit1__Bit1,axiom, % 197.15/197.33 ! [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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power__number__of__even,axiom, % 197.15/197.33 ! [V_w_2,V_z_2,T_b] : % 197.15/197.33 ( class_Int_Onumber__ring(T_b) % 197.15/197.33 => 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zpower__number__of__even,axiom, % 197.15/197.33 ! [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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_double__number__of__Bit0,axiom, % 197.15/197.33 ! [V_w,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of1,axiom, % 197.15/197.33 ! [V_n] : % 197.15/197.33 ( 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))) % 197.15/197.33 => ( 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)))) % 197.15/197.33 & 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)))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power__number__of__even__number__of,axiom, % 197.15/197.33 ! [V_w_2,V_v_2,T_b] : % 197.15/197.33 ( class_Int_Onumber__ring(T_b) % 197.15/197.33 => 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mult__2,axiom, % 197.15/197.33 ! [V_z,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mult__2__right,axiom, % 197.15/197.33 ! [V_z,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_one__add__one__is__two,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zero__eq__power2,axiom, % 197.15/197.33 ! [V_a_2,T_b] : % 197.15/197.33 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 197.15/197.33 => ( 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) % 197.15/197.33 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zero__power2,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Rings_Osemiring__1(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_numeral__2__eq__2,axiom, % 197.15/197.33 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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_semiring__norm_I115_J,axiom, % 197.15/197.33 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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power2__eq__square,axiom, % 197.15/197.33 ! [V_a,T_a] : % 197.15/197.33 ( class_Groups_Omonoid__mult(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 197.15/197.33 ! [V_x,T_a] : % 197.15/197.33 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.33 => 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)))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 197.15/197.33 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))))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__2__eq__Suc,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__2__eq__Suc_H,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_one__power2,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Rings_Osemiring__1(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power2__minus,axiom, % 197.15/197.33 ! [V_a,T_a] : % 197.15/197.33 ( class_Rings_Oring__1(T_a) % 197.15/197.33 => 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)))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__mult__2,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__mult__2__right,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power__even__eq,axiom, % 197.15/197.33 ! [V_n,V_a,T_a] : % 197.15/197.33 ( class_Groups_Omonoid__mult(T_a) % 197.15/197.33 => 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)))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 197.15/197.33 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)))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 197.15/197.33 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)))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__1__add__1,axiom, % 197.15/197.33 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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mod2__Suc__Suc,axiom, % 197.15/197.33 ! [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)))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_div2__Suc__Suc,axiom, % 197.15/197.33 ! [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))))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zmod__number__of__Bit0,axiom, % 197.15/197.33 ! [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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__self__div__2,axiom, % 197.15/197.33 ! [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 ). % 197.15/197.33 % 197.15/197.33 fof(fact_power2__eq__imp__eq,axiom, % 197.15/197.33 ! [V_y,V_x,T_a] : % 197.15/197.33 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.33 => ( 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)))) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.33 => V_x = V_y ) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power2__le__imp__le,axiom, % 197.15/197.33 ! [V_y,V_x,T_a] : % 197.15/197.33 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.33 => ( 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)))))) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zero__le__power2,axiom, % 197.15/197.33 ! [V_a,T_a] : % 197.15/197.33 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.33 => 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)))))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zero__less__power2,axiom, % 197.15/197.33 ! [V_a_2,T_b] : % 197.15/197.33 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.33 => ( 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)))))) % 197.15/197.33 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power2__less__0,axiom, % 197.15/197.33 ! [V_a,T_a] : % 197.15/197.33 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.33 => ~ 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_sum__power2__eq__zero__iff,axiom, % 197.15/197.33 ! [V_y_2,V_x_2,T_b] : % 197.15/197.33 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.33 => ( 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) % 197.15/197.33 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.33 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power2__eq__square__number__of,axiom, % 197.15/197.33 ! [V_w,T_b] : % 197.15/197.33 ( ( class_Groups_Omonoid__mult(T_b) % 197.15/197.33 & class_Int_Onumber(T_b) ) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_less__2__cases,axiom, % 197.15/197.33 ! [V_n] : % 197.15/197.33 ( 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))))) % 197.15/197.33 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.33 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nat__2,axiom, % 197.15/197.33 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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power2__eq__1__iff,axiom, % 197.15/197.33 ! [V_a_2,T_b] : % 197.15/197.33 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 197.15/197.33 => ( 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) % 197.15/197.33 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b) % 197.15/197.33 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 197.15/197.33 ! [V_n,V_x,T_a] : % 197.15/197.33 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power__minus__even,axiom, % 197.15/197.33 ! [V_n,V_a,T_a] : % 197.15/197.33 ( class_Rings_Oring__1(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power2__less__imp__less,axiom, % 197.15/197.33 ! [V_y,V_x,T_a] : % 197.15/197.33 ( class_Rings_Olinordered__semidom(T_a) % 197.15/197.33 => ( 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)))))) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_sum__power2__ge__zero,axiom, % 197.15/197.33 ! [V_y,V_x,T_a] : % 197.15/197.33 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.33 => 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))))))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_sum__power2__le__zero__iff,axiom, % 197.15/197.33 ! [V_y_2,V_x_2,T_b] : % 197.15/197.33 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.33 => ( 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))) % 197.15/197.33 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.33 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_not__sum__power2__lt__zero,axiom, % 197.15/197.33 ! [V_y,V_x,T_a] : % 197.15/197.33 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.33 => ~ 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_sum__power2__gt__zero__iff,axiom, % 197.15/197.33 ! [V_y_2,V_x_2,T_b] : % 197.15/197.33 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.33 => ( 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))))))) % 197.15/197.33 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.33 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power2__sum,axiom, % 197.15/197.33 ! [V_y,V_x,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zero__le__even__power_H,axiom, % 197.15/197.33 ! [V_n,V_a,T_a] : % 197.15/197.33 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.33 => 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)))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power__odd__eq,axiom, % 197.15/197.33 ! [V_n,V_a,T_a] : % 197.15/197.33 ( class_Groups_Omonoid__mult(T_a) % 197.15/197.33 => 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))))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 197.15/197.33 ! [V_n,V_x,T_a] : % 197.15/197.33 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.33 => 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))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power__minus1__even,axiom, % 197.15/197.33 ! [V_n,T_a] : % 197.15/197.33 ( class_Rings_Oring__1(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zdiv__number__of__Bit1,axiom, % 197.15/197.33 ! [V_v,V_w] : % 197.15/197.33 ( ( 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))) % 197.15/197.33 => 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)) ) % 197.15/197.33 & ( ~ 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))) % 197.15/197.33 => 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)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mod2__gr__0,axiom, % 197.15/197.33 ! [V_m_2] : % 197.15/197.33 ( 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)))))) % 197.15/197.33 <=> 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_div__2__gt__zero,axiom, % 197.15/197.33 ! [V_n] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 197.15/197.33 => 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)))))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power2__diff,axiom, % 197.15/197.33 ! [V_y,V_x,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_odd__0__le__power__imp__0__le,axiom, % 197.15/197.33 ! [V_n,V_a,T_a] : % 197.15/197.33 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.33 => ( 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))))) % 197.15/197.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_odd__power__less__zero,axiom, % 197.15/197.33 ! [V_n,V_a,T_a] : % 197.15/197.33 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.33 => 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))) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power__minus1__odd,axiom, % 197.15/197.33 ! [V_n,T_a] : % 197.15/197.33 ( class_Rings_Oring__1(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Suc__n__div__2__gt__zero,axiom, % 197.15/197.33 ! [V_n] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.33 => 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)))))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_adjust__eq,axiom, % 197.15/197.33 ! [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))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_int__of__code,axiom, % 197.15/197.33 ! [V_k] : % 197.15/197.33 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 197.15/197.33 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 197.15/197.33 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 197.15/197.33 => ( ( 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) % 197.15/197.33 => 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)))))) ) % 197.15/197.33 & ( 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) % 197.15/197.33 => 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)) ) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_of__int__num,axiom, % 197.15/197.33 ! [V_k_2,T_b] : % 197.15/197.33 ( class_Rings_Oring__1(T_b) % 197.15/197.33 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) ) % 197.15/197.33 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.33 => 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))) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.33 => 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))))) ) ) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_norm__frac_Osimps,axiom, % 197.15/197.33 ! [V_a_2,V_b_2] : % 197.15/197.33 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.33 => 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)) ) % 197.15/197.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.33 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 197.15/197.33 => 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)) ) % 197.15/197.33 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 197.15/197.33 => 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))) ) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_min__ord__min,axiom, % 197.15/197.33 ! [T_b] : % 197.15/197.33 ( class_Orderings_Oord(T_b) % 197.15/197.33 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_power__m1__odd,axiom, % 197.15/197.33 ! [V_n,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_code__numeral__zero__minus__one,axiom, % 197.15/197.33 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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I24_J,axiom, % 197.15/197.33 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I7_J,axiom, % 197.15/197.33 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I37_J,axiom, % 197.15/197.33 c_Int_OPls != c_Int_OMin ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I40_J,axiom, % 197.15/197.33 c_Int_OMin != c_Int_OPls ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I47_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 197.15/197.33 <=> V_k_2 = c_Int_OMin ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I43_J,axiom, % 197.15/197.33 ! [V_l_2] : % 197.15/197.33 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 197.15/197.33 <=> c_Int_OMin = V_l_2 ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Bit1__Min,axiom, % 197.15/197.33 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I45_J,axiom, % 197.15/197.33 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I42_J,axiom, % 197.15/197.33 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 197.15/197.33 % 197.15/197.33 fof(fact_bin__less__0__simps_I2_J,axiom, % 197.15/197.33 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I20_J,axiom, % 197.15/197.33 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I23_J,axiom, % 197.15/197.33 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I30_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I26_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I6_J,axiom, % 197.15/197.33 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I3_J,axiom, % 197.15/197.33 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I9_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I13_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I28_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I8_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_eq__number__of__Pls__Min,axiom, % 197.15/197.33 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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_Int_OMin__def,axiom, % 197.15/197.33 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mult__Min,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_neg__number__of__Min,axiom, % 197.15/197.33 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 197.15/197.33 % 197.15/197.33 fof(fact_pred__Pls,axiom, % 197.15/197.33 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__Min__right,axiom, % 197.15/197.33 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 197.15/197.33 % 197.15/197.33 fof(fact_add__Min,axiom, % 197.15/197.33 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 197.15/197.33 % 197.15/197.33 fof(fact_pred__Min,axiom, % 197.15/197.33 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 197.15/197.33 % 197.15/197.33 fof(fact_nonzero__number__of__Min,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_succ__Min,axiom, % 197.15/197.33 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__bin__simps_I2_J,axiom, % 197.15/197.33 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mult__minus1,axiom, % 197.15/197.33 ! [V_z,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_mult__minus1__right,axiom, % 197.15/197.33 ! [V_z,T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_arith__simps_I31_J,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_number__of__Min,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I25_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_rel__simps_I11_J,axiom, % 197.15/197.33 ! [V_k_2] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 197.15/197.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zmod__minus1__right,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__bin__simps_I4_J,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_minus__Min,axiom, % 197.15/197.33 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 197.15/197.33 % 197.15/197.33 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 197.15/197.33 ! [V_n,V_m] : % 197.15/197.33 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 197.15/197.33 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 197.15/197.33 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zmult__eq__1__iff,axiom, % 197.15/197.33 ! [V_na_2,V_m_2] : % 197.15/197.33 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 197.15/197.33 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 197.15/197.33 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 197.15/197.33 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 197.15/197.33 & V_na_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__bin__simps_I5_J,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_diff__bin__simps_I6_J,axiom, % 197.15/197.33 ! [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)) ). % 197.15/197.33 % 197.15/197.33 fof(fact_of__int__m1,axiom, % 197.15/197.33 ! [T_a] : % 197.15/197.33 ( class_Int_Onumber__ring(T_a) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zdiv__minus1__right,axiom, % 197.15/197.33 ! [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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_zero__code__numeral__code,axiom, % 197.15/197.33 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) ). % 197.15/197.33 % 197.15/197.33 fof(fact_div__eq__minus1,axiom, % 197.15/197.33 ! [V_b] : % 197.15/197.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.33 => 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) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_divmod__int__correct,axiom, % 197.15/197.33 ! [V_a,V_b] : % 197.15/197.33 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.33 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 197.15/197.33 % 197.15/197.33 fof(fact_div__pos__neg__trivial,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.34 => ( 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))) % 197.15/197.34 => 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) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_zmod__minus1,axiom, % 197.15/197.34 ! [V_b] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divmod__int__rel__def,axiom, % 197.15/197.34 ! [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))))))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divmod__int__mod__div,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_one__code__numeral__code,axiom, % 197.15/197.34 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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_adjust__def,axiom, % 197.15/197.34 ! [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))))))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_power__m1__even,axiom, % 197.15/197.34 ! [V_n,T_a] : % 197.15/197.34 ( class_Int_Onumber__ring(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_OFrac__def,axiom, % 197.15/197.34 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)))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_div__mod__code__numeral__def,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 197.15/197.34 ! [V_w] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ( 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)))) % 197.15/197.34 => 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))) ) % 197.15/197.34 & ( ~ 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)))) % 197.15/197.34 => 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)))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_negDivAlg__eqn,axiom, % 197.15/197.34 ! [V_a,V_b] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.34 => ( ( 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))) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ 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))) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_negDivAlg__eqn__number__of,axiom, % 197.15/197.34 ! [V_w,V_v] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ( 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)))) % 197.15/197.34 => 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))) ) % 197.15/197.34 & ( ~ 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)))) % 197.15/197.34 => 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)))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_negDivAlg_Osimps,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( ( ( 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))) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ ( 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))) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 197.15/197.34 => 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))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_negDivAlg__correct,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.34 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_negDivAlg__div__mod,axiom, % 197.15/197.34 ! [V_l,V_k] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_negDivAlg__minus1,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_prod__caseI,axiom, % 197.15/197.34 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2)) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_splitI,axiom, % 197.15/197.34 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 197.15/197.34 ! [V_w] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ( 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))) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ 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))) % 197.15/197.34 => 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)))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_posDivAlg_Osimps,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 197.15/197.34 => 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) ) % 197.15/197.34 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 197.15/197.34 => 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))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_nat__of__aux__code,axiom, % 197.15/197.34 ! [V_n,V_i] : % 197.15/197.34 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 197.15/197.34 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 197.15/197.34 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_posDivAlg__0,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_split__paired__All,axiom, % 197.15/197.34 ! [T_c,T_b,V_P_2] : % 197.15/197.34 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 197.15/197.34 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Pair__eq,axiom, % 197.15/197.34 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 197.15/197.34 ( 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) % 197.15/197.34 <=> ( V_a_2 = V_a_H_2 % 197.15/197.34 & V_b_2 = V_b_H_2 ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Pair__inject,axiom, % 197.15/197.34 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 197.15/197.34 ( 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) % 197.15/197.34 => ~ ( V_a = V_a_H % 197.15/197.34 => V_b != V_b_H ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_split__weak__cong,axiom, % 197.15/197.34 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] : % 197.15/197.34 ( V_p_2 = V_q_2 % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_posDivAlg__correct,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.34 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_prod_Osimps_I2_J,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_split__conv,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_posDivAlg__div__mod,axiom, % 197.15/197.34 ! [V_l,V_k] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_splitD,axiom, % 197.15/197.34 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 197.15/197.34 ( 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))) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_split__eta,axiom, % 197.15/197.34 ! [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 ). % 197.15/197.34 % 197.15/197.34 fof(fact_split__Pair,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_split__twice,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_posDivAlg__eqn,axiom, % 197.15/197.34 ! [V_a,V_b] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 197.15/197.34 => 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) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_posDivAlg__eqn__number__of,axiom, % 197.15/197.34 ! [V_w,V_v] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ( 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))) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ 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))) % 197.15/197.34 => 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)))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divmod__int__def,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.34 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.34 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 => 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))) ) ) ) ) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.34 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.34 => 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))) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_negDivAlg_Opsimps,axiom, % 197.15/197.34 ! [V_b_2,V_a_2] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ( ( 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))) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ ( 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))) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_posDivAlg_Opsimps,axiom, % 197.15/197.34 ! [V_b_2,V_a_2] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 197.15/197.34 => 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) ) % 197.15/197.34 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_norm__frac_Opsimps,axiom, % 197.15/197.34 ! [V_b_2,V_a_2] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 197.15/197.34 => 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))) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_prod_Orecs,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mem__splitI,axiom, % 197.15/197.34 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2))) % 197.15/197.34 => 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)))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_accp_Osimps,axiom, % 197.15/197.34 ! [V_a_2,V_r_2,T_b] : % 197.15/197.34 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 197.15/197.34 <=> ! [B_x] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 197.15/197.34 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_accp_Oequations,axiom, % 197.15/197.34 ! [V_a_2,V_r_2,T_b] : % 197.15/197.34 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 197.15/197.34 <=> ! [B_x] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 197.15/197.34 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_accp__downward,axiom, % 197.15/197.34 ! [V_a_2,V_b_2,V_r_2,T_b] : % 197.15/197.34 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 197.15/197.34 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_splitD_H,axiom, % 197.15/197.34 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] : % 197.15/197.34 ( 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)) % 197.15/197.34 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_accp__subset,axiom, % 197.15/197.34 ! [V_R2_2,V_R1_2,T_b] : % 197.15/197.34 ( 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)) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_negateSnd__eq,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divmod__int__rel__neg,axiom, % 197.15/197.34 ! [V_qr,V_b,V_a] : % 197.15/197.34 ( 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)) % 197.15/197.34 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divmod__nat__if,axiom, % 197.15/197.34 ! [V_m_2,V_na_2] : % 197.15/197.34 ( ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) % 197.15/197.34 => c_Divides_Odivmod__nat(V_m_2,V_na_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) ) % 197.15/197.34 & ( ~ ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) % 197.15/197.34 => c_Divides_Odivmod__nat(V_m_2,V_na_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_na_2),V_na_2)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_negDivAlg_Opinduct,axiom, % 197.15/197.34 ! [V_P_2,V_a1_2,V_a0_2] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ! [B_a,B_b] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ( ~ ( 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))) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_posDivAlg_Opinduct,axiom, % 197.15/197.34 ! [V_P_2,V_a1_2,V_a0_2] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ! [B_a,B_b] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mod__pos__neg__1__number__of,axiom, % 197.15/197.34 ! [V_w] : % 197.15/197.34 ( 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))) % 197.15/197.34 => 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))))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_norm__frac_Opinduct,axiom, % 197.15/197.34 ! [V_P_2,V_a1_2,V_a0_2] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ! [B_a,B_b] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) ) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_div__pos__neg__1__number__of,axiom, % 197.15/197.34 ! [V_w] : % 197.15/197.34 ( 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))) % 197.15/197.34 => 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))))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_split__def,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_split__comp__eq,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_prod__case__beta,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_split__beta,axiom, % 197.15/197.34 ! [V_z_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_P_2),V_z_2) = hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_prod__eqI,axiom, % 197.15/197.34 ! [V_q,V_p,T_b,T_a] : % 197.15/197.34 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 197.15/197.34 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 197.15/197.34 => V_p = V_q ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Pair__fst__snd__eq,axiom, % 197.15/197.34 ! [T_c,T_b,V_ta_2,V_s_2] : % 197.15/197.34 ( V_s_2 = V_ta_2 % 197.15/197.34 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_ta_2) % 197.15/197.34 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_ta_2) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_pair__collapse,axiom, % 197.15/197.34 ! [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 ). % 197.15/197.34 % 197.15/197.34 fof(fact_surjective__pairing,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_split__comp,axiom, % 197.15/197.34 ! [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(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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_fst__conv,axiom, % 197.15/197.34 ! [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 ). % 197.15/197.34 % 197.15/197.34 fof(fact_fst__eqD,axiom, % 197.15/197.34 ! [V_a,V_y,V_x,T_b,T_a] : % 197.15/197.34 ( 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 % 197.15/197.34 => V_x = V_a ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_snd__conv,axiom, % 197.15/197.34 ! [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 ). % 197.15/197.34 % 197.15/197.34 fof(fact_snd__eqD,axiom, % 197.15/197.34 ! [V_a,V_y,V_x,T_a,T_b] : % 197.15/197.34 ( 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 % 197.15/197.34 => V_y = V_a ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_fst__def,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_snd__def,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_div__int__def,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mod__int__def,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_div__neg__pos,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mod__neg__pos,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_div__pos__pos,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mod__pos__pos,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_div__pos__pos__1__number__of,axiom, % 197.15/197.34 ! [V_w] : % 197.15/197.34 ( 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))) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mod__pos__pos__1__number__of,axiom, % 197.15/197.34 ! [V_w] : % 197.15/197.34 ( 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))) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_div__pos__neg,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => 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)))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mod__pos__neg,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => 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)))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_div__neg__neg,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => 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)))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mod__neg__neg,axiom, % 197.15/197.34 ! [V_b,V_a] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => 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)))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_prod__size__simp,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_nat__gcd_Opsimps,axiom, % 197.15/197.34 ! [V_y_2,V_x_2] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.34 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 197.15/197.34 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.34 => 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_conjI__realizer,axiom, % 197.15/197.34 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_P_2] : % 197.15/197.34 ( hBOOL(hAPP(V_P_2,V_p_2)) % 197.15/197.34 => ( hBOOL(hAPP(V_Q_2,V_q_2)) % 197.15/197.34 => ( hBOOL(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) % 197.15/197.34 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_exI__realizer,axiom, % 197.15/197.34 ! [T_b,T_c,V_x_2,V_y_2,V_P_2] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2)) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_code__numeral_Osize_I1_J,axiom, % 197.15/197.34 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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_div__nat__def,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mod__nat__def,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divmod__nat__rel__def,axiom, % 197.15/197.34 ! [V_qr_2,V_na_2,V_m_2] : % 197.15/197.34 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_na_2),V_qr_2)) % 197.15/197.34 <=> ( 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_na_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)) % 197.15/197.34 & ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.34 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 197.15/197.34 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 197.15/197.34 => ( 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))) % 197.15/197.34 & 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_na_2)) ) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))) % 197.15/197.34 & 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))) ) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_nat__gcd_Opinduct,axiom, % 197.15/197.34 ! [V_P_2,V_a1_2,V_a0_2] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ! [B_x,B_y] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) ) % 197.15/197.34 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_code__numeral_Osize_I2_J,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_in__lex__prod,axiom, % 197.15/197.34 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 197.15/197.34 ( 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))) % 197.15/197.34 <=> ( 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)) % 197.15/197.34 | ( V_a_2 = V_a_H_2 % 197.15/197.34 & 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_max__Suc__number__of,axiom, % 197.15/197.34 ! [V_na_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_na_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_na_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_na_2)))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_max__number__of__Suc,axiom, % 197.15/197.34 ! [V_v_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_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_na_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_na_2)),c_Int_Onat)))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_max__0L,axiom, % 197.15/197.34 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 197.15/197.34 % 197.15/197.34 fof(fact_max__0R,axiom, % 197.15/197.34 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 197.15/197.34 % 197.15/197.34 fof(fact_max__add__distrib__left,axiom, % 197.15/197.34 ! [V_z,V_y,V_x,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_le__max__iff__disj,axiom, % 197.15/197.34 ! [V_y_2,V_x_2,V_z_2,T_b] : % 197.15/197.34 ( class_Orderings_Olinorder(T_b) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2)) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_le__maxI1,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_le__maxI2,axiom, % 197.15/197.34 ! [V_x,V_y,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Ole__iff__sup,axiom, % 197.15/197.34 ! [V_y_2,V_x_2,T_b] : % 197.15/197.34 ( class_Orderings_Olinorder(T_b) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.15/197.34 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Ole__sup__iff,axiom, % 197.15/197.34 ! [V_z_2,V_y_2,V_x_2,T_b] : % 197.15/197.34 ( class_Orderings_Olinorder(T_b) % 197.15/197.34 => ( 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)) % 197.15/197.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 197.15/197.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Ole__supI1,axiom, % 197.15/197.34 ! [V_b,V_a,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 197.15/197.34 => 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))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Ole__supI2,axiom, % 197.15/197.34 ! [V_a,V_b,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 197.15/197.34 => 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))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup__absorb2,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.15/197.34 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup__absorb1,axiom, % 197.15/197.34 ! [V_x,V_y,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 197.15/197.34 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Ole__supI,axiom, % 197.15/197.34 ! [V_b,V_x,V_a,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 197.15/197.34 => 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup__least,axiom, % 197.15/197.34 ! [V_z,V_x,V_y,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 197.15/197.34 => 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup__mono,axiom, % 197.15/197.34 ! [V_d,V_b,V_c,V_a,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Ole__supE,axiom, % 197.15/197.34 ! [V_x,V_b,V_a,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => ( 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)) % 197.15/197.34 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 197.15/197.34 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_less__max__iff__disj,axiom, % 197.15/197.34 ! [V_y_2,V_x_2,V_z_2,T_b] : % 197.15/197.34 ( class_Orderings_Olinorder(T_b) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_max__less__iff__conj,axiom, % 197.15/197.34 ! [V_z_2,V_y_2,V_x_2,T_b] : % 197.15/197.34 ( class_Orderings_Olinorder(T_b) % 197.15/197.34 => ( 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)) % 197.15/197.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 197.15/197.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Oless__supI2,axiom, % 197.15/197.34 ! [V_a,V_b,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 197.15/197.34 => 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))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Oless__supI1,axiom, % 197.15/197.34 ! [V_b,V_a,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 197.15/197.34 => 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))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup__assoc,axiom, % 197.15/197.34 ! [V_z,V_y,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup_Oassoc,axiom, % 197.15/197.34 ! [V_c,V_b,V_a,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup__left__commute,axiom, % 197.15/197.34 ! [V_z,V_y,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup_Oleft__commute,axiom, % 197.15/197.34 ! [V_c,V_a,V_b,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup__left__idem,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup_Oleft__idem,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup__commute,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup_Ocommute,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup_Oidem,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_code__numeral_Oinject,axiom, % 197.15/197.34 ! [V_code__numeral_H_2,V_code__numeral_2] : % 197.15/197.34 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 197.15/197.34 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_max__diff__distrib__left,axiom, % 197.15/197.34 ! [V_z,V_y,V_x,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_max__Suc__Suc,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 197.15/197.34 ! [V_x,V_z,V_y,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup__inf__distrib2,axiom, % 197.15/197.34 ! [V_x,V_z,V_y,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 197.15/197.34 ! [V_z,V_y,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup__inf__distrib1,axiom, % 197.15/197.34 ! [V_z,V_y,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Oinf__sup__absorb,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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 ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Osup__inf__absorb,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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 ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_max__number__of,axiom, % 197.15/197.34 ! [V_v,V_u,T_b] : % 197.15/197.34 ( ( class_Int_Onumber(T_b) % 197.15/197.34 & class_Orderings_Oord(T_b) ) % 197.15/197.34 => ( ( 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))) % 197.15/197.34 => 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) ) % 197.15/197.34 & ( ~ 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))) % 197.15/197.34 => 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) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Odistrib__inf__le,axiom, % 197.15/197.34 ! [V_z,V_y,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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)))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_min__max_Odistrib__sup__le,axiom, % 197.15/197.34 ! [V_z,V_y,V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => 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)))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_minus__max__eq__min,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Groups_Olinordered__ab__group__add(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_minus__min__eq__max,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Groups_Olinordered__ab__group__add(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_nat__minus__add__max,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_code__numeral_Osimps_I3_J,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_code__numeral_Osimps_I2_J,axiom, % 197.15/197.34 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 197.15/197.34 % 197.15/197.34 fof(fact_max__Suc1,axiom, % 197.15/197.34 ! [V_m_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2) = hAPP(hAPP(hAPP(c_Nat_Onat_Onat__case(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_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_na_2))),V_m_2) ). % 197.15/197.34 % 197.15/197.34 fof(fact_max__Suc2,axiom, % 197.15/197.34 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(hAPP(c_Nat_Onat_Onat__case(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_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_na_2))),V_m_2) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Suc__code__numeral__minus__one,axiom, % 197.15/197.34 ! [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 ). % 197.15/197.34 % 197.15/197.34 fof(fact_dual__min,axiom, % 197.15/197.34 ! [T_b] : % 197.15/197.34 ( class_Orderings_Olinorder(T_b) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_code__numeral_Osize_I4_J,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_same__fstI,axiom, % 197.15/197.34 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_P_2] : % 197.15/197.34 ( hBOOL(hAPP(V_P_2,V_x_2)) % 197.15/197.34 => ( 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))) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_max__ord__max,axiom, % 197.15/197.34 ! [T_b] : % 197.15/197.34 ( class_Orderings_Oord(T_b) % 197.15/197.34 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_pair__lessI2,axiom, % 197.15/197.34 ! [V_ta_2,V_s_2,V_b_2,V_a_2] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_ta_2)) % 197.15/197.34 => 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_ta_2))),c_FunDef_Opair__less)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Min_Oidem,axiom, % 197.15/197.34 ! [V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Max_Oidem,axiom, % 197.15/197.34 ! [V_x,T_a] : % 197.15/197.34 ( class_Orderings_Olinorder(T_a) % 197.15/197.34 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_dual__max,axiom, % 197.15/197.34 ! [T_b] : % 197.15/197.34 ( class_Orderings_Olinorder(T_b) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_pair__lessI1,axiom, % 197.15/197.34 ! [V_ta_2,V_s_2,V_b_2,V_a_2] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 197.15/197.34 => 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_ta_2))),c_FunDef_Opair__less)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_code__numeral_Osize_I3_J,axiom, % 197.15/197.34 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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_pair__leqI2,axiom, % 197.15/197.34 ! [V_ta_2,V_s_2,V_b_2,V_a_2] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_ta_2)) % 197.15/197.34 => 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_ta_2))),c_FunDef_Opair__leq)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_pair__leqI1,axiom, % 197.15/197.34 ! [V_ta_2,V_s_2,V_b_2,V_a_2] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 197.15/197.34 => 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_ta_2))),c_FunDef_Opair__leq)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_intrel__iff,axiom, % 197.15/197.34 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 197.15/197.34 ( 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)) % 197.15/197.34 <=> 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_decr__mult__lemma,axiom, % 197.15/197.34 ! [V_k_2,V_P_2,V_d_2] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 197.15/197.34 => ( ! [B_x] : % 197.15/197.34 ( hBOOL(hAPP(V_P_2,B_x)) % 197.15/197.34 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 197.15/197.34 => ! [B_x] : % 197.15/197.34 ( hBOOL(hAPP(V_P_2,B_x)) % 197.15/197.34 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_rel__pow__E2,axiom, % 197.15/197.34 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 197.15/197.34 ( 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_na_2),V_R_2))) % 197.15/197.34 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.34 => V_x_2 != V_z_2 ) % 197.15/197.34 => ~ ! [B_y,B_m] : % 197.15/197.34 ( V_na_2 = hAPP(c_Nat_OSuc,B_m) % 197.15/197.34 => ( 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)) % 197.15/197.34 => ~ 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))) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_rel__pow__E,axiom, % 197.15/197.34 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 197.15/197.34 ( 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_na_2),V_R_2))) % 197.15/197.34 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.34 => V_x_2 != V_z_2 ) % 197.15/197.34 => ~ ! [B_y,B_m] : % 197.15/197.34 ( V_na_2 = hAPP(c_Nat_OSuc,B_m) % 197.15/197.34 => ( 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))) % 197.15/197.34 => ~ 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)) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_incr__mult__lemma,axiom, % 197.15/197.34 ! [V_k_2,V_P_2,V_d_2] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 197.15/197.34 => ( ! [B_x] : % 197.15/197.34 ( hBOOL(hAPP(V_P_2,B_x)) % 197.15/197.34 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 197.15/197.34 => ! [B_x] : % 197.15/197.34 ( hBOOL(hAPP(V_P_2,B_x)) % 197.15/197.34 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_code__numeral_Osimps_I5_J,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divmod__int__pdivmod,axiom, % 197.15/197.34 ! [V_l_2,V_k_2] : % 197.15/197.34 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 => 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) ) % 197.15/197.34 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 => 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)))) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_decr__lemma,axiom, % 197.15/197.34 ! [V_z,V_x,V_d] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__of__nat,axiom, % 197.15/197.34 ! [V_n,T_a] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_power__abs,axiom, % 197.15/197.34 ! [V_n,V_a,T_a] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__minus__cancel,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__le__D1,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__ge__self,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__zero,axiom, % 197.15/197.34 ! [T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__eq__0,axiom, % 197.15/197.34 ! [V_a_2,T_b] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 197.15/197.34 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__idempotent,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__one,axiom, % 197.15/197.34 ! [T_a] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.34 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__minus__commute,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__mult__self,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__mult,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__add__abs,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__int__eq,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_apsnd__conv,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_apsnd__compose,axiom, % 197.15/197.34 ! [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(hAPP(c_Fun_Ocomp(T_d,T_c,T_e),V_f_2),V_g_2)),V_x_2) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__ge__zero,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__le__zero__iff,axiom, % 197.15/197.34 ! [V_a_2,T_b] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__of__nonneg,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.34 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__of__pos,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.34 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_zero__less__abs__iff,axiom, % 197.15/197.34 ! [V_a_2,T_b] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__not__less__zero,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => ~ 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__triangle__ineq,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => 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)))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__mult__less,axiom, % 197.15/197.34 ! [V_d,V_b,V_c,V_a,T_a] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_fst__apsnd,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__triangle__ineq2__sym,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => 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)))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__triangle__ineq2,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => 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)))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__triangle__ineq3,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => 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)))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__le__D2,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__leI,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__le__iff,axiom, % 197.15/197.34 ! [V_b_2,V_a_2,T_b] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 197.15/197.34 => ( 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)) % 197.15/197.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 197.15/197.34 & 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__ge__minus__self,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_snd__apsnd,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_apsnd__eq__conv,axiom, % 197.15/197.34 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] : % 197.15/197.34 ( 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) % 197.15/197.34 <=> 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__less__iff,axiom, % 197.15/197.34 ! [V_b_2,V_a_2,T_b] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 197.15/197.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 197.15/197.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__power__minus,axiom, % 197.15/197.34 ! [V_n,V_a,T_a] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__zmult__eq__1,axiom, % 197.15/197.34 ! [V_n,V_m] : % 197.15/197.34 ( 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) % 197.15/197.34 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_pdivmod__def,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__sgn,axiom, % 197.15/197.34 ! [V_k,T_a] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mult__sgn__abs,axiom, % 197.15/197.34 ! [V_x,T_a] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.34 => 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 ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_pdivmod__posDivAlg,axiom, % 197.15/197.34 ! [V_k,V_l] : % 197.15/197.34 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__eq__mult,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Rings_Oordered__ring__abs(T_a) % 197.15/197.34 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 197.15/197.34 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__mult__pos,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__diff__triangle__ineq,axiom, % 197.15/197.34 ! [V_d,V_c,V_b,V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => 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))))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__triangle__ineq4,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => 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)))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__minus__le__zero,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__of__nonpos,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__of__neg,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__if,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Groups_Oabs__if(T_a) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_zero__le__power__abs,axiom, % 197.15/197.34 ! [V_n,V_a,T_a] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__minus__one,axiom, % 197.15/197.34 ! [T_a] : % 197.15/197.34 ( ( class_Int_Onumber__ring(T_a) % 197.15/197.34 & class_Rings_Olinordered__idom(T_a) ) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_zabs__less__one__iff,axiom, % 197.15/197.34 ! [V_z_2] : % 197.15/197.34 ( 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))) % 197.15/197.34 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_zabs__def,axiom, % 197.15/197.34 ! [V_i] : % 197.15/197.34 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 197.15/197.34 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_nat__abs__mult__distrib,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_zero__le__zpower__abs,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_negateSnd__def,axiom, % 197.15/197.34 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__number__of,axiom, % 197.15/197.34 ! [V_x,T_a] : % 197.15/197.34 ( ( class_Int_Onumber__ring(T_a) % 197.15/197.34 & class_Rings_Olinordered__idom(T_a) ) % 197.15/197.34 => ( ( 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))) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ 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))) % 197.15/197.34 => 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) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__power__minus__one,axiom, % 197.15/197.34 ! [V_n,T_a] : % 197.15/197.34 ( ( class_Int_Onumber__ring(T_a) % 197.15/197.34 & class_Rings_Olinordered__idom(T_a) ) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_apsnd__id,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_zero__less__zpower__abs__iff,axiom, % 197.15/197.34 ! [V_na_2,V_x_2] : % 197.15/197.34 ( 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_na_2))) % 197.15/197.34 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_power2__abs,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.34 => 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)))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__power2,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.34 => 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)))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divmod__int__code,axiom, % 197.15/197.34 ! [V_l_2,V_k_2] : % 197.15/197.34 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 => 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) ) % 197.15/197.34 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.34 => 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)))) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Oint__gcd__def,axiom, % 197.15/197.34 ! [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)))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_code__numeral_Osimps_I4_J,axiom, % 197.15/197.34 ! [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 ). % 197.15/197.34 % 197.15/197.34 fof(fact_incr__lemma,axiom, % 197.15/197.34 ! [V_x,V_z,V_d] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 197.15/197.34 => 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)))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Oint__lcm__def,axiom, % 197.15/197.34 ! [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)))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_apfst__apsnd,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_apsnd__apfst,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_accp__acc__eq,axiom, % 197.15/197.34 ! [V_x_2,V_r_2,T_b] : % 197.15/197.34 ( 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)) % 197.15/197.34 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_congruentD,axiom, % 197.15/197.34 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] : % 197.15/197.34 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 197.15/197.34 => ( 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)) % 197.15/197.34 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_apfst__conv,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_apfst__compose,axiom, % 197.15/197.34 ! [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(hAPP(c_Fun_Ocomp(T_d,T_b,T_e),V_f_2),V_g_2)),V_x_2) ). % 197.15/197.34 % 197.15/197.34 fof(fact_apfst__eq__conv,axiom, % 197.15/197.34 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] : % 197.15/197.34 ( 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) % 197.15/197.34 <=> 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_fst__apfst,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_snd__apfst,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_apsnd__apfst__commute,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_acc__subset,axiom, % 197.15/197.34 ! [V_R2_2,V_R1_2,T_b] : % 197.15/197.34 ( 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)) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_apfst__id,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_acc_Osimps,axiom, % 197.15/197.34 ! [V_r_2,V_a_2,T_b] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 197.15/197.34 <=> ! [B_x] : % 197.15/197.34 ( 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)) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_acc__downward,axiom, % 197.15/197.34 ! [V_a_2,V_r_2,V_b_2,T_b] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 197.15/197.34 => ( 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)) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_congruent__def,axiom, % 197.15/197.34 ! [V_f_2,V_r_2,T_c,T_b] : % 197.15/197.34 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 197.15/197.34 <=> ! [B_x] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Ozero__frac__def,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_half__gt__zero__iff,axiom, % 197.15/197.34 ! [V_r_2,T_b] : % 197.15/197.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 & class_Int_Onumber__ring(T_b) ) % 197.15/197.34 => ( 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)))))) % 197.15/197.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_half__gt__zero,axiom, % 197.15/197.34 ! [V_r,T_a] : % 197.15/197.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 197.15/197.34 & class_Int_Onumber__ring(T_a) ) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 197.15/197.34 => 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)))))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_nat0__intermed__int__val,axiom, % 197.15/197.34 ! [V_k_2,V_f_2,V_na_2] : % 197.15/197.34 ( ! [B_i] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 197.15/197.34 => 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))) ) % 197.15/197.34 => ( 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)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 197.15/197.34 => ? [B_i] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 197.15/197.34 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_int__val__lemma,axiom, % 197.15/197.34 ! [V_k_2,V_f_2,V_na_2] : % 197.15/197.34 ( ! [B_i] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 197.15/197.34 => 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))) ) % 197.15/197.34 => ( 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)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 197.15/197.34 => ? [B_i] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 197.15/197.34 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__1,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_a) % 197.15/197.34 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_add__divide__distrib,axiom, % 197.15/197.34 ! [V_c,V_b,V_a,T_a] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_times__divide__eq__right,axiom, % 197.15/197.34 ! [V_c,V_b,V_a,T_a] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__zero__left,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__zero,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_diff__divide__distrib,axiom, % 197.15/197.34 ! [V_c,V_b,V_a,T_a] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_minus__divide__left,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_power__divide,axiom, % 197.15/197.34 ! [V_n,V_b,V_a,T_a] : % 197.15/197.34 ( class_Fields_Ofield__inverse__zero(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_eq__divide__imp,axiom, % 197.15/197.34 ! [V_b,V_a,V_c,T_a] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_a) % 197.15/197.34 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 197.15/197.34 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__eq__imp,axiom, % 197.15/197.34 ! [V_a,V_b,V_c,T_a] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_a) % 197.15/197.34 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 197.15/197.34 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_nonzero__divide__eq__eq,axiom, % 197.15/197.34 ! [V_a_2,V_b_2,V_c_2,T_b] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_b) % 197.15/197.34 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 197.15/197.34 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_nonzero__eq__divide__eq,axiom, % 197.15/197.34 ! [V_b_2,V_a_2,V_c_2,T_b] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_b) % 197.15/197.34 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 197.15/197.34 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_right__inverse__eq,axiom, % 197.15/197.34 ! [V_a_2,V_b_2,T_b] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_b) % 197.15/197.34 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b) % 197.15/197.34 <=> V_a_2 = V_b_2 ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__self,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_a) % 197.15/197.34 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__self__if,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 197.15/197.34 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 197.15/197.34 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_nonzero__minus__divide__divide,axiom, % 197.15/197.34 ! [V_a,V_b,T_a] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_a) % 197.15/197.34 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_nonzero__minus__divide__right,axiom, % 197.15/197.34 ! [V_a,V_b,T_a] : % 197.15/197.34 ( class_Rings_Odivision__ring(T_a) % 197.15/197.34 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_nonzero__power__divide,axiom, % 197.15/197.34 ! [V_n,V_a,V_b,T_a] : % 197.15/197.34 ( class_Fields_Ofield(T_a) % 197.15/197.34 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_power__one__over,axiom, % 197.15/197.34 ! [V_n,V_a,T_a] : % 197.15/197.34 ( class_Fields_Ofield__inverse__zero(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__eq__eq__number__of1,axiom, % 197.15/197.34 ! [V_a_2,V_w_2,V_b_2,T_b] : % 197.15/197.34 ( ( class_Fields_Ofield__inverse__zero(T_b) % 197.15/197.34 & class_Int_Onumber(T_b) ) % 197.15/197.34 => ( 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 % 197.15/197.34 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__eq__eq__number__of,axiom, % 197.15/197.34 ! [V_w_2,V_c_2,V_b_2,T_b] : % 197.15/197.34 ( ( class_Fields_Ofield__inverse__zero(T_b) % 197.15/197.34 & class_Int_Onumber(T_b) ) % 197.15/197.34 => ( 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) % 197.15/197.34 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => 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) ) % 197.15/197.34 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_eq__divide__eq__number__of,axiom, % 197.15/197.34 ! [V_c_2,V_b_2,V_w_2,T_b] : % 197.15/197.34 ( ( class_Fields_Ofield__inverse__zero(T_b) % 197.15/197.34 & class_Int_Onumber(T_b) ) % 197.15/197.34 => ( 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) % 197.15/197.34 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => 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 ) % 197.15/197.34 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_eq__divide__eq__number__of1,axiom, % 197.15/197.34 ! [V_w_2,V_b_2,V_a_2,T_b] : % 197.15/197.34 ( ( class_Fields_Ofield__inverse__zero(T_b) % 197.15/197.34 & class_Int_Onumber(T_b) ) % 197.15/197.34 => ( 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)) % 197.15/197.34 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => 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 ) % 197.15/197.34 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__Numeral0,axiom, % 197.15/197.34 ! [V_x,T_a] : % 197.15/197.34 ( ( class_Fields_Ofield__inverse__zero(T_a) % 197.15/197.34 & class_Int_Onumber__ring(T_a) ) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__numeral__1,axiom, % 197.15/197.34 ! [V_a,T_a] : % 197.15/197.34 ( ( class_Fields_Ofield(T_a) % 197.15/197.34 & class_Int_Onumber__ring(T_a) ) % 197.15/197.34 => 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 ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__Numeral1,axiom, % 197.15/197.34 ! [V_x,T_a] : % 197.15/197.34 ( ( class_Fields_Ofield(T_a) % 197.15/197.34 & class_Int_Onumber__ring(T_a) ) % 197.15/197.34 => 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 ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__minus1,axiom, % 197.15/197.34 ! [V_x,T_a] : % 197.15/197.34 ( ( class_Fields_Ofield__inverse__zero(T_a) % 197.15/197.34 & class_Int_Onumber__ring(T_a) ) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_less__divide__eq__number__of1,axiom, % 197.15/197.34 ! [V_w_2,V_b_2,V_a_2,T_b] : % 197.15/197.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 & class_Int_Onumber(T_b) ) % 197.15/197.34 => ( 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)))) % 197.15/197.34 <=> ( ( 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))) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ 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))) % 197.15/197.34 => ( ( 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))) % 197.15/197.34 => 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)))) ) % 197.15/197.34 & ( ~ 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))) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_less__divide__eq__number__of,axiom, % 197.15/197.34 ! [V_c_2,V_b_2,V_w_2,T_b] : % 197.15/197.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 & class_Int_Onumber(T_b) ) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => 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))) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => 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))) ) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__less__eq__number__of,axiom, % 197.15/197.34 ! [V_w_2,V_c_2,V_b_2,T_b] : % 197.15/197.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 & class_Int_Onumber(T_b) ) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => 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))) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => 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))) ) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__less__eq__number__of1,axiom, % 197.15/197.34 ! [V_a_2,V_w_2,V_b_2,T_b] : % 197.15/197.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 & class_Int_Onumber(T_b) ) % 197.15/197.34 => ( 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)) % 197.15/197.34 <=> ( ( 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))) % 197.15/197.34 => 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)))) ) % 197.15/197.34 & ( ~ 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))) % 197.15/197.34 => ( ( 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))) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ 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))) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_power__diff,axiom, % 197.15/197.34 ! [V_m,V_n,V_a,T_a] : % 197.15/197.34 ( class_Fields_Ofield(T_a) % 197.15/197.34 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.15/197.34 => 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_minus1__divide,axiom, % 197.15/197.34 ! [V_x,T_a] : % 197.15/197.34 ( ( class_Fields_Ofield__inverse__zero(T_a) % 197.15/197.34 & class_Int_Onumber__ring(T_a) ) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_le__divide__eq__number__of1,axiom, % 197.15/197.34 ! [V_w_2,V_b_2,V_a_2,T_b] : % 197.15/197.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 & class_Int_Onumber(T_b) ) % 197.15/197.34 => ( 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)))) % 197.15/197.34 <=> ( ( 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))) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ 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))) % 197.15/197.34 => ( ( 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))) % 197.15/197.34 => 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)))) ) % 197.15/197.34 & ( ~ 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))) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_le__divide__eq__number__of,axiom, % 197.15/197.34 ! [V_c_2,V_b_2,V_w_2,T_b] : % 197.15/197.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 & class_Int_Onumber(T_b) ) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => 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))) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => 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))) ) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__le__eq__number__of,axiom, % 197.15/197.34 ! [V_w_2,V_c_2,V_b_2,T_b] : % 197.15/197.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 & class_Int_Onumber(T_b) ) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => 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))) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => 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))) ) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__le__eq__number__of1,axiom, % 197.15/197.34 ! [V_a_2,V_w_2,V_b_2,T_b] : % 197.15/197.34 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 & class_Int_Onumber(T_b) ) % 197.15/197.34 => ( 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)) % 197.15/197.34 <=> ( ( 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))) % 197.15/197.34 => 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)))) ) % 197.15/197.34 & ( ~ 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))) % 197.15/197.34 => ( ( 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))) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ 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))) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Oone__frac__def,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__left__mono__neg,axiom, % 197.15/197.34 ! [V_c,V_b,V_a,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => ( 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))) % 197.15/197.34 => 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))) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__left__mono,axiom, % 197.15/197.34 ! [V_c,V_a,V_b,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.34 => ( 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))) % 197.15/197.34 => 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))) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_neg__divide__le__eq,axiom, % 197.15/197.34 ! [V_a_2,V_b_2,V_c_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_b) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => ( 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)) % 197.15/197.34 <=> 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_times__divide__times__eq,axiom, % 197.15/197.34 ! [V_w,V_z,V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Ofield__inverse__zero(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_minus__divide__divide,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Fields_Ofield__inverse__zero(T_a) % 197.15/197.34 => 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) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_minus__divide__right,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Fields_Ofield__inverse__zero(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__divide,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__right__mono__neg,axiom, % 197.15/197.34 ! [V_c,V_b,V_a,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__right__mono,axiom, % 197.15/197.34 ! [V_c,V_b,V_a,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__le__0__iff,axiom, % 197.15/197.34 ! [V_b_2,V_a_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 197.15/197.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 197.15/197.34 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_zero__le__divide__iff,axiom, % 197.15/197.34 ! [V_b_2,V_a_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 197.15/197.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 197.15/197.34 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_zero__less__divide__iff,axiom, % 197.15/197.34 ! [V_b_2,V_a_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 197.15/197.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 197.15/197.34 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__less__0__iff,axiom, % 197.15/197.34 ! [V_b_2,V_a_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 197.15/197.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 197.15/197.34 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__pos__pos,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__pos__neg,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__neg__pos,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__neg__neg,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__strict__right__mono,axiom, % 197.15/197.34 ! [V_c,V_b,V_a,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__strict__right__mono__neg,axiom, % 197.15/197.34 ! [V_c,V_a,V_b,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_frac__eq__eq,axiom, % 197.15/197.34 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] : % 197.15/197.34 ( class_Fields_Ofield(T_b) % 197.15/197.34 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => ( 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) % 197.15/197.34 <=> 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) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mult__divide__mult__cancel__left,axiom, % 197.15/197.34 ! [V_b,V_a,V_c,T_a] : % 197.15/197.34 ( class_Fields_Ofield__inverse__zero(T_a) % 197.15/197.34 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mult__divide__mult__cancel__right,axiom, % 197.15/197.34 ! [V_b,V_a,V_c,T_a] : % 197.15/197.34 ( class_Fields_Ofield__inverse__zero(T_a) % 197.15/197.34 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__eq__eq,axiom, % 197.15/197.34 ! [V_a_2,V_c_2,V_b_2,T_b] : % 197.15/197.34 ( class_Fields_Ofield__inverse__zero(T_b) % 197.15/197.34 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 197.15/197.34 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) % 197.15/197.34 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_eq__divide__eq,axiom, % 197.15/197.34 ! [V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.34 ( class_Fields_Ofield__inverse__zero(T_b) % 197.15/197.34 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 197.15/197.34 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) % 197.15/197.34 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.34 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_nonzero__abs__divide,axiom, % 197.15/197.34 ! [V_a,V_b,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__nonneg__pos,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__nonneg__neg,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_frac__less2,axiom, % 197.15/197.34 ! [V_z,V_w,V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 197.15/197.34 => 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))) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_frac__less,axiom, % 197.15/197.34 ! [V_z,V_w,V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 197.15/197.34 => 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))) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_frac__le,axiom, % 197.15/197.34 ! [V_z,V_w,V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 197.15/197.34 => 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))) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__nonpos__pos,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__nonpos__neg,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_less__divide__eq,axiom, % 197.15/197.34 ! [V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => 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))) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__less__eq,axiom, % 197.15/197.34 ! [V_a_2,V_c_2,V_b_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 => ( 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)) % 197.15/197.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => 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))) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_pos__less__divide__eq,axiom, % 197.15/197.34 ! [V_b_2,V_a_2,V_c_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_b) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_pos__divide__less__eq,axiom, % 197.15/197.34 ! [V_a_2,V_b_2,V_c_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_b) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => ( 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)) % 197.15/197.34 <=> 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mult__imp__div__pos__less,axiom, % 197.15/197.34 ! [V_z,V_x,V_y,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.34 => ( 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))) % 197.15/197.34 => 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mult__imp__less__div__pos,axiom, % 197.15/197.34 ! [V_x,V_z,V_y,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.34 => ( 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)) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_neg__less__divide__eq,axiom, % 197.15/197.34 ! [V_b_2,V_a_2,V_c_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_b) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_neg__divide__less__eq,axiom, % 197.15/197.34 ! [V_a_2,V_b_2,V_c_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_b) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => ( 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)) % 197.15/197.34 <=> 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__strict__left__mono,axiom, % 197.15/197.34 ! [V_c,V_a,V_b,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 197.15/197.34 => ( 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))) % 197.15/197.34 => 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))) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__strict__left__mono__neg,axiom, % 197.15/197.34 ! [V_c,V_b,V_a,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 197.15/197.34 => ( 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))) % 197.15/197.34 => 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))) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_add__num__frac,axiom, % 197.15/197.34 ! [V_x,V_z,V_y,T_a] : % 197.15/197.34 ( class_Fields_Ofield__inverse__zero(T_a) % 197.15/197.34 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_add__divide__eq__iff,axiom, % 197.15/197.34 ! [V_y,V_x,V_z,T_a] : % 197.15/197.34 ( class_Fields_Ofield(T_a) % 197.15/197.34 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_add__frac__num,axiom, % 197.15/197.34 ! [V_z,V_x,V_y,T_a] : % 197.15/197.34 ( class_Fields_Ofield__inverse__zero(T_a) % 197.15/197.34 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__add__eq__iff,axiom, % 197.15/197.34 ! [V_y,V_x,V_z,T_a] : % 197.15/197.34 ( class_Fields_Ofield(T_a) % 197.15/197.34 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_add__frac__eq,axiom, % 197.15/197.34 ! [V_w,V_x,V_z,V_y,T_a] : % 197.15/197.34 ( class_Fields_Ofield(T_a) % 197.15/197.34 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_diff__divide__eq__iff,axiom, % 197.15/197.34 ! [V_y,V_x,V_z,T_a] : % 197.15/197.34 ( class_Fields_Ofield(T_a) % 197.15/197.34 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__diff__eq__iff,axiom, % 197.15/197.34 ! [V_y,V_x,V_z,T_a] : % 197.15/197.34 ( class_Fields_Ofield(T_a) % 197.15/197.34 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_diff__frac__eq,axiom, % 197.15/197.34 ! [V_w,V_x,V_z,V_y,T_a] : % 197.15/197.34 ( class_Fields_Ofield(T_a) % 197.15/197.34 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 197.15/197.34 => 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_less__half__sum,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.15/197.34 => 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))))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_gt__half__sum,axiom, % 197.15/197.34 ! [V_b,V_a,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_abs__div__pos,axiom, % 197.15/197.34 ! [V_x,V_y,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_le__divide__eq,axiom, % 197.15/197.34 ! [V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => 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))) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_divide__le__eq,axiom, % 197.15/197.34 ! [V_a_2,V_c_2,V_b_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 197.15/197.34 => ( 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)) % 197.15/197.34 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => 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))) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_pos__le__divide__eq,axiom, % 197.15/197.34 ! [V_b_2,V_a_2,V_c_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_b) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_pos__divide__le__eq,axiom, % 197.15/197.34 ! [V_a_2,V_b_2,V_c_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_b) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 197.15/197.34 => ( 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)) % 197.15/197.34 <=> 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mult__imp__div__pos__le,axiom, % 197.15/197.34 ! [V_z,V_x,V_y,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.34 => ( 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))) % 197.15/197.34 => 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mult__imp__le__div__pos,axiom, % 197.15/197.34 ! [V_x,V_z,V_y,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 197.15/197.34 => ( 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)) % 197.15/197.34 => 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_neg__le__divide__eq,axiom, % 197.15/197.34 ! [V_b_2,V_a_2,V_c_2,T_b] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_b) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 197.15/197.34 => ( 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))) % 197.15/197.34 <=> 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))) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Ofrac__def,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_field__le__mult__one__interval,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 197.15/197.34 => ( ! [B_z] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 197.15/197.34 => 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)) ) ) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 197.15/197.34 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mem__splitE,axiom, % 197.15/197.34 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] : % 197.15/197.34 ( 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))) % 197.15/197.34 => ~ ! [B_x,B_y] : % 197.15/197.34 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) % 197.15/197.34 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_mem__splitI2,axiom, % 197.15/197.34 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] : % 197.15/197.34 ( ! [B_a,B_b] : % 197.15/197.34 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) ) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 197.15/197.34 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 197.15/197.34 ! [V_y,V_x] : % 197.15/197.34 ( c_Nat__Transfer_Ois__nat(V_x) % 197.15/197.34 => ( c_Nat__Transfer_Ois__nat(V_y) % 197.15/197.34 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 197.15/197.34 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 197.15/197.34 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 197.15/197.34 ! [V_y,V_x] : % 197.15/197.34 ( c_Nat__Transfer_Ois__nat(V_x) % 197.15/197.34 => ( c_Nat__Transfer_Ois__nat(V_y) % 197.15/197.34 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 197.15/197.34 ! [V_y,V_x] : % 197.15/197.34 ( c_Nat__Transfer_Ois__nat(V_x) % 197.15/197.34 => ( c_Nat__Transfer_Ois__nat(V_y) % 197.15/197.34 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 197.15/197.34 ! [V_y,V_x] : % 197.15/197.34 ( c_Nat__Transfer_Ois__nat(V_x) % 197.15/197.34 => ( c_Nat__Transfer_Ois__nat(V_y) % 197.15/197.34 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 197.15/197.34 ! [V_n,V_x] : % 197.15/197.34 ( c_Nat__Transfer_Ois__nat(V_x) % 197.15/197.34 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 197.15/197.34 ! [V_y,V_x] : % 197.15/197.34 ( c_Nat__Transfer_Ois__nat(V_x) % 197.15/197.34 => ( c_Nat__Transfer_Ois__nat(V_y) % 197.15/197.34 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_is__nat__def,axiom, % 197.15/197.34 ! [V_x_2] : % 197.15/197.34 ( c_Nat__Transfer_Ois__nat(V_x_2) % 197.15/197.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 197.15/197.34 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_rel__pow__Suc__E,axiom, % 197.15/197.34 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 197.15/197.34 ( 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_na_2)),V_R_2))) % 197.15/197.34 => ~ ! [B_y] : % 197.15/197.34 ( 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_na_2),V_R_2))) % 197.15/197.34 => ~ 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_rel__pow__Suc__E2,axiom, % 197.15/197.34 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 197.15/197.34 ( 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_na_2)),V_R_2))) % 197.15/197.34 => ~ ! [B_y] : % 197.15/197.34 ( 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)) % 197.15/197.34 => ~ 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_na_2),V_R_2))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_rel__pow__Suc__D2,axiom, % 197.15/197.34 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 197.15/197.34 ( 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_na_2)),V_R_2))) % 197.15/197.34 => ? [B_y] : % 197.15/197.34 ( 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)) % 197.15/197.34 & 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_na_2),V_R_2))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_congruent2D,axiom, % 197.15/197.34 ! [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] : % 197.15/197.34 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 197.15/197.34 => ( 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)) % 197.15/197.34 => ( 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)) % 197.15/197.34 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_not__acc__down,axiom, % 197.15/197.34 ! [V_R_2,V_x_2,T_b] : % 197.15/197.34 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2))) % 197.15/197.34 => ~ ! [B_z] : % 197.15/197.34 ( 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)) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_acc_OaccI,axiom, % 197.15/197.34 ! [V_r_2,V_x_2,T_b] : % 197.15/197.34 ( ! [B_y] : % 197.15/197.34 ( 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)) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) ) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_scomp__unfold,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_refl__on__def_H,axiom, % 197.15/197.34 ! [V_r_2,V_A_2,T_b] : % 197.15/197.34 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 197.15/197.34 <=> ( ! [B_x] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 197.15/197.34 => 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)) ) % 197.15/197.34 & ! [B_x] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.34 => 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)) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_nat__intermed__int__val,axiom, % 197.15/197.34 ! [V_k_2,V_f_2,V_na_2,V_m_2] : % 197.15/197.34 ( ! [B_i] : % 197.15/197.34 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 197.15/197.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) ) % 197.15/197.34 => 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))) ) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 197.15/197.34 => ? [B_i] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 197.15/197.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 197.15/197.34 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_log_Osimps,axiom, % 197.15/197.34 ! [V_i,V_b] : % 197.15/197.34 ( ( ( 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))) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 197.15/197.34 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 197.15/197.34 & ( ~ ( 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))) % 197.15/197.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 197.15/197.34 => 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))) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_scomp__scomp,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_scomp__Pair,axiom, % 197.15/197.34 ! [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 ). % 197.15/197.34 % 197.15/197.34 fof(fact_Pair__scomp,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_scomp__apply,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_refl__onD2,axiom, % 197.15/197.34 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 197.15/197.34 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 197.15/197.34 => ( 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)) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_refl__onD1,axiom, % 197.15/197.34 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 197.15/197.34 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 197.15/197.34 => ( 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)) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_refl__onD,axiom, % 197.15/197.34 ! [V_a_2,V_r_2,V_A_2,T_b] : % 197.15/197.34 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 197.15/197.34 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_scomp__def,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_minus__shift__def,axiom, % 197.15/197.34 ! [V_r,V_l,V_k] : % 197.15/197.34 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 197.15/197.34 => 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) ) % 197.15/197.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 197.15/197.34 => 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) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_inc__shift__def,axiom, % 197.15/197.34 ! [V_k,V_v] : % 197.15/197.34 ( ( V_v = V_k % 197.15/197.34 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 197.15/197.34 & ( V_v != V_k % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_iterate_Osimps,axiom, % 197.15/197.34 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 197.15/197.34 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 197.15/197.34 => 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) ) % 197.15/197.34 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 197.15/197.34 => 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)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_irrefl__def,axiom, % 197.15/197.34 ! [V_r_2,T_b] : % 197.15/197.34 ( c_Relation_Oirrefl(T_b,V_r_2) % 197.15/197.34 <=> ! [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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_range,axiom, % 197.15/197.34 ! [V_s,V_k] : % 197.15/197.34 ( 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)) % 197.15/197.34 => 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)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Oplus__frac__def,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_internal__split__def,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_measure__function__int,axiom, % 197.15/197.34 c_FunDef_Ois__measure(tc_Int_Oint,hAPP(hAPP(c_Fun_Ocomp(tc_Int_Oint,tc_Nat_Onat,tc_Int_Oint),c_Int_Onat),c_Groups_Oabs__class_Oabs(tc_Int_Oint))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_field__le__epsilon,axiom, % 197.15/197.34 ! [V_y,V_x,T_a] : % 197.15/197.34 ( class_Fields_Olinordered__field(T_a) % 197.15/197.34 => ( ! [B_e] : % 197.15/197.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e)) % 197.15/197.34 => 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))) ) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_subtract__code__numeral__def,axiom, % 197.15/197.34 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 197.15/197.34 % 197.15/197.34 fof(fact_is__measure_Ointros,axiom, % 197.15/197.34 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ). % 197.15/197.34 % 197.15/197.34 fof(fact_is__measure_Oequations,axiom, % 197.15/197.34 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 197.15/197.34 % 197.15/197.34 fof(fact_is__measure_Osimps,axiom, % 197.15/197.34 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 197.15/197.34 % 197.15/197.34 fof(fact_measure__fst,axiom, % 197.15/197.34 ! [T_c,V_f_2,T_b] : % 197.15/197.34 ( c_FunDef_Ois__measure(T_b,V_f_2) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_measure__snd,axiom, % 197.15/197.34 ! [T_c,V_f_2,T_b] : % 197.15/197.34 ( c_FunDef_Ois__measure(T_b,V_f_2) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_measure__size,axiom, % 197.15/197.34 ! [T_b] : % 197.15/197.34 ( class_Nat_Osize(T_b) % 197.15/197.34 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_internal__split__conv,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_minus__code__numeral__code,axiom, % 197.15/197.34 ! [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) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Otimes__frac__def,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Oof__frac__def,axiom, % 197.15/197.34 ! [V_q,T_a,T_b] : % 197.15/197.34 ( ( class_Rings_Oinverse(T_b) % 197.15/197.34 & class_Rings_Oring__1(T_b) ) % 197.15/197.34 => 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 197.15/197.34 ! [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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 197.15/197.34 ! [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))) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Odenom__def,axiom, % 197.15/197.34 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Onum__def,axiom, % 197.15/197.34 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(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)) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Oless__frac__def,axiom, % 197.15/197.34 ! [V_r_2,V_q_2,T_b] : % 197.15/197.34 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2) % 197.15/197.34 <=> 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 197.15/197.34 ! [V_r_2,V_q_2,T_b] : % 197.15/197.34 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2) % 197.15/197.34 <=> 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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_pair__imageI,axiom, % 197.15/197.34 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 197.15/197.34 ( 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)) % 197.15/197.34 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(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))) ) ). % 197.15/197.34 % 197.15/197.34 fof(fact_total__on__def,axiom, % 197.15/197.34 ! [V_r_2,V_A_2,T_b] : % 197.15/197.35 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2) % 197.15/197.35 <=> ! [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.35 => ! [B_xa] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 197.15/197.35 => ( B_x != B_xa % 197.15/197.35 => ( 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)) % 197.15/197.35 | 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)) ) ) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_The__split,axiom, % 197.15/197.35 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_image__eqI,axiom, % 197.15/197.35 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] : % 197.15/197.35 ( V_b_2 = hAPP(V_f_2,V_x_2) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_image__compose,axiom, % 197.15/197.35 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Set_Oimage(T_c,T_b),hAPP(hAPP(c_Fun_Ocomp(T_d,T_b,T_c),V_f_2),V_g_2)),V_r_2) = hAPP(hAPP(c_Set_Oimage(T_d,T_b),V_f_2),hAPP(hAPP(c_Set_Oimage(T_c,T_d),V_g_2),V_r_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_image__id,axiom, % 197.15/197.35 ! [V_Y_2,T_b] : hAPP(hAPP(c_Set_Oimage(T_b,T_b),c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ). % 197.15/197.35 % 197.15/197.35 fof(fact_image__ident,axiom, % 197.15/197.35 ! [V_Y_2,T_b] : hAPP(hAPP(c_Set_Oimage(T_b,T_b),c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 197.15/197.35 % 197.15/197.35 fof(fact_image__image,axiom, % 197.15/197.35 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),hAPP(hAPP(c_Set_Oimage(T_d,T_c),V_g_2),V_A_2)) = hAPP(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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_the__sym__eq__trivial,axiom, % 197.15/197.35 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 197.15/197.35 % 197.15/197.35 fof(fact_the__eq__trivial,axiom, % 197.15/197.35 ! [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 ). % 197.15/197.35 % 197.15/197.35 fof(fact_image__iff,axiom, % 197.15/197.35 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2))) % 197.15/197.35 <=> ? [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 197.15/197.35 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_imageI,axiom, % 197.15/197.35 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_rev__image__eqI,axiom, % 197.15/197.35 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.35 => ( V_b_2 = hAPP(V_f_2,V_x_2) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_subset__image__iff,axiom, % 197.15/197.35 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2))) % 197.15/197.35 <=> ? [B_AA] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2)) % 197.15/197.35 & V_B_2 = hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),B_AA) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_image__mono,axiom, % 197.15/197.35 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_B_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_image__diff__subset,axiom, % 197.15/197.35 ! [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(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_B_2))),hAPP(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)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_The__split__eq,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_split__paired__The,axiom, % 197.15/197.35 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_P_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_divmod__nat__def,axiom, % 197.15/197.35 ! [V_na_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_na_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_na_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Least__mono,axiom, % 197.15/197.35 ! [V_S_2,V_f_2,T_b,T_c] : % 197.15/197.35 ( ( class_Orderings_Oorder(T_c) % 197.15/197.35 & class_Orderings_Oorder(T_b) ) % 197.15/197.35 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 197.15/197.35 => ( ? [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 197.15/197.35 & ! [B_xa] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_S_2)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) % 197.15/197.35 => hAPP(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(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_S_2))) = hAPP(V_f_2,hAPP(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))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_THE__default__def,axiom, % 197.15/197.35 ! [V_d_2,T_b,V_P_2] : % 197.15/197.35 ( ( ? [B_x] : % 197.15/197.35 ( hBOOL(hAPP(V_P_2,B_x)) % 197.15/197.35 & ! [B_y] : % 197.15/197.35 ( hBOOL(hAPP(V_P_2,B_y)) % 197.15/197.35 => B_y = B_x ) ) % 197.15/197.35 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = c_HOL_OThe(T_b,V_P_2) ) % 197.15/197.35 & ( ~ ? [B_x] : % 197.15/197.35 ( hBOOL(hAPP(V_P_2,B_x)) % 197.15/197.35 & ! [B_y] : % 197.15/197.35 ( hBOOL(hAPP(V_P_2,B_y)) % 197.15/197.35 => B_y = B_x ) ) % 197.15/197.35 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = V_d_2 ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_ndepth__def,axiom, % 197.15/197.35 ! [V_na_2,T_c,T_b] : c_Datatype_Ondepth(T_b,T_c,V_na_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_Nat_Onat,tc_sum(T_c,tc_Nat_Onat)),tc_sum(T_b,tc_Nat_Onat),tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_sum(T_b,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_sum(T_c,tc_Nat_Onat))),c_COMBK(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_sum(T_c,tc_Nat_Onat))),c_Orderings_Oord__class_OLeast(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_fun(tc_Nat_Onat,tc_sum(T_c,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_sum(T_c,tc_Nat_Onat),tc_HOL_Obool)),tc_fun(tc_sum(T_c,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_fun(tc_Nat_Onat,tc_sum(T_c,tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_sum(T_c,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_COMBB(tc_sum(T_c,tc_Nat_Onat),tc_fun(tc_sum(T_c,tc_Nat_Onat),tc_HOL_Obool),tc_Nat_Onat),c_fequal))),hAPP(c_Sum__Type_OInr(tc_Nat_Onat,T_c),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))),hAPP(c_Datatype_ORep__Node(T_b,T_c),V_na_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_congruent2__implies__congruent,axiom, % 197.15/197.35 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] : % 197.15/197.35 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2) % 197.15/197.35 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.35 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_code__numeral_Orecs_I2_J,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 197.15/197.35 ! [V_B_2,V_A_2] : % 197.15/197.35 ( V_A_2 = V_B_2 % 197.15/197.35 <=> hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2) = hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_transfer__int__nat__set__return__embed,axiom, % 197.15/197.35 ! [V_A_2] : hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),hAPP(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 ). % 197.15/197.35 % 197.15/197.35 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 197.15/197.35 ! [V_A_2,V_x_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 197.15/197.35 ! [V_B_2,V_A_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 197.15/197.35 ! [V_B_2,V_A_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Rep__Node__inject,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,T_b,T_c] : % 197.15/197.35 ( hAPP(c_Datatype_ORep__Node(T_c,T_b),V_x_2) = hAPP(c_Datatype_ORep__Node(T_c,T_b),V_y_2) % 197.15/197.35 <=> V_x_2 = V_y_2 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_monoD,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : % 197.15/197.35 ( ( class_Orderings_Oorder(T_c) % 197.15/197.35 & class_Orderings_Oorder(T_b) ) % 197.15/197.35 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.15/197.35 => 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))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_mono__Suc,axiom, % 197.15/197.35 c_Orderings_Oorder__class_Omono(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc) ). % 197.15/197.35 % 197.15/197.35 fof(fact_min__of__mono,axiom, % 197.15/197.35 ! [V_na_2,V_m_2,V_f_2,T_b,T_c] : % 197.15/197.35 ( ( class_Orderings_Olinorder(T_c) % 197.15/197.35 & class_Orderings_Olinorder(T_b) ) % 197.15/197.35 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 197.15/197.35 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_na_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_m_2),V_na_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_max__of__mono,axiom, % 197.15/197.35 ! [V_na_2,V_m_2,V_f_2,T_b,T_c] : % 197.15/197.35 ( ( class_Orderings_Olinorder(T_c) % 197.15/197.35 & class_Orderings_Olinorder(T_b) ) % 197.15/197.35 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 197.15/197.35 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_na_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_m_2),V_na_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_mono__iff__le__Suc,axiom, % 197.15/197.35 ! [V_f_2,T_b] : % 197.15/197.35 ( class_Orderings_Oorder(T_b) % 197.15/197.35 => ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat,T_b,V_f_2) % 197.15/197.35 <=> ! [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)))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_code__numeral_Orecs_I1_J,axiom, % 197.15/197.35 ! [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 ). % 197.15/197.35 % 197.15/197.35 fof(fact_ndepth__Push__Node,axiom, % 197.15/197.35 ! [V_n,V_i,T_b,T_a] : c_Datatype_Ondepth(T_a,T_b,hAPP(hAPP(c_Datatype_OPush__Node(T_b,T_a),hAPP(c_Sum__Type_OInr(tc_Nat_Onat,T_b),hAPP(c_Nat_OSuc,V_i))),V_n)) = hAPP(c_Nat_OSuc,c_Datatype_Ondepth(T_a,T_b,V_n)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_ndepth__K0,axiom, % 197.15/197.35 ! [V_x_2,T_c,T_b] : c_Datatype_Ondepth(T_b,T_c,hAPP(c_Datatype_OAbs__Node(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Nat_Onat,tc_sum(T_c,tc_Nat_Onat)),tc_sum(T_b,tc_Nat_Onat)),hAPP(c_COMBK(tc_sum(T_c,tc_Nat_Onat),tc_Nat_Onat),hAPP(c_Sum__Type_OInr(tc_Nat_Onat,T_c),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_x_2))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.15/197.35 % 197.15/197.35 fof(fact_quotient__eqI,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 197.15/197.35 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.35 => ( 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))) % 197.15/197.35 => ( 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))) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 197.15/197.35 => ( 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)) % 197.15/197.35 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_quotient__eq__iff,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 197.15/197.35 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.35 => ( 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))) % 197.15/197.35 => ( 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))) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 197.15/197.35 => ( V_X_2 = V_Y_2 % 197.15/197.35 <=> 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)) ) ) ) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_equivp__equiv,axiom, % 197.15/197.35 ! [V_A_2,T_b] : % 197.15/197.35 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 197.15/197.35 <=> 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_top1I,axiom, % 197.15/197.35 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_UNIV__I,axiom, % 197.15/197.35 ! [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)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_iso__tuple__UNIV__I,axiom, % 197.15/197.35 ! [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)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_UNIV__Plus__UNIV,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_top__apply,axiom, % 197.15/197.35 ! [V_x_2,T_c,T_b] : % 197.15/197.35 ( class_Orderings_Otop(T_b) % 197.15/197.35 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Push__Node__inject,axiom, % 197.15/197.35 ! [V_n,V_j,V_m,V_i,T_a,T_b] : % 197.15/197.35 ( hAPP(hAPP(c_Datatype_OPush__Node(T_b,T_a),V_i),V_m) = hAPP(hAPP(c_Datatype_OPush__Node(T_b,T_a),V_j),V_n) % 197.15/197.35 => ~ ( V_i = V_j % 197.15/197.35 => V_m != V_n ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_subset__UNIV,axiom, % 197.15/197.35 ! [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)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_equiv__intrel,axiom, % 197.15/197.35 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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_range__composition,axiom, % 197.15/197.35 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(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(hAPP(c_Set_Oimage(T_d,T_b),V_f_2),hAPP(hAPP(c_Set_Oimage(T_c,T_d),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_top__greatest,axiom, % 197.15/197.35 ! [V_x,T_a] : % 197.15/197.35 ( class_Orderings_Otop(T_a) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_range__eqI,axiom, % 197.15/197.35 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] : % 197.15/197.35 ( V_b_2 = hAPP(V_f_2,V_x_2) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_rangeI,axiom, % 197.15/197.35 ! [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(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_ball__UNIV,axiom, % 197.15/197.35 ! [V_P_2,T_b] : % 197.15/197.35 ( ! [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 197.15/197.35 => hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.35 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_comp__surj,axiom, % 197.15/197.35 ! [V_g_2,T_d,V_f_2,T_b,T_c] : % 197.15/197.35 ( hAPP(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)) % 197.15/197.35 => ( hAPP(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)) % 197.15/197.35 => hAPP(hAPP(c_Set_Oimage(T_c,T_d),hAPP(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)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_surj__id,axiom, % 197.15/197.35 ! [T_b] : hAPP(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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Compl__eq__Diff__UNIV,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Rep__Node__inverse,axiom, % 197.15/197.35 ! [V_x,T_a,T_b] : hAPP(c_Datatype_OAbs__Node(T_b,T_a),hAPP(c_Datatype_ORep__Node(T_a,T_b),V_x)) = V_x ). % 197.15/197.35 % 197.15/197.35 fof(fact_Push__Node__def,axiom, % 197.15/197.35 ! [V_x_2,V_na_2,T_b,T_c] : hAPP(hAPP(c_Datatype_OPush__Node(T_c,T_b),V_na_2),V_x_2) = hAPP(c_Datatype_OAbs__Node(T_c,T_b),hAPP(c_Product__Type_Oapfst(tc_fun(tc_Nat_Onat,tc_sum(T_c,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_sum(T_c,tc_Nat_Onat)),tc_sum(T_b,tc_Nat_Onat),hAPP(c_Datatype_OPush(T_c),V_na_2)),hAPP(c_Datatype_ORep__Node(T_b,T_c),V_x_2))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_surj__Compl__image__subset,axiom, % 197.15/197.35 ! [V_A_2,V_f_2,T_b,T_c] : % 197.15/197.35 ( hAPP(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)) % 197.15/197.35 => 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(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2))),hAPP(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)))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 197.15/197.35 ! [V_B_2,V_A_2] : % 197.15/197.35 ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.35 => ( c_Nat__Transfer_Onat__set(V_B_2) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_A_2)),hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_B_2))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 197.15/197.35 ! [V_B_2,V_A_2] : % 197.15/197.35 ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.35 => ( c_Nat__Transfer_Onat__set(V_B_2) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_A_2)),hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_B_2))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 197.15/197.35 ! [V_A_2,V_x_2] : % 197.15/197.35 ( c_Nat__Transfer_Ois__nat(V_x_2) % 197.15/197.35 => ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_A_2))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Node__K0__I,axiom, % 197.15/197.35 ! [V_a_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat)),hAPP(c_COMBK(tc_sum(T_b,tc_Nat_Onat),tc_Nat_Onat),hAPP(c_Sum__Type_OInr(tc_Nat_Onat,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_a_2)),c_Datatype_ONode(T_b,T_c))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_transfer__nat__int__set__return__embed,axiom, % 197.15/197.35 ! [V_A_2] : % 197.15/197.35 ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.35 => hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_A_2)) = V_A_2 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Abs__Node__inject,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,T_c,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat))),V_x_2),c_Datatype_ONode(T_b,T_c))) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat))),V_y_2),c_Datatype_ONode(T_b,T_c))) % 197.15/197.35 => ( hAPP(c_Datatype_OAbs__Node(T_b,T_c),V_x_2) = hAPP(c_Datatype_OAbs__Node(T_b,T_c),V_y_2) % 197.15/197.35 <=> V_x_2 = V_y_2 ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Abs__Node__inj,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,T_b,T_c] : % 197.15/197.35 ( hAPP(c_Datatype_OAbs__Node(T_c,T_b),V_x_2) = hAPP(c_Datatype_OAbs__Node(T_c,T_b),V_y_2) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_c,tc_Nat_Onat)),tc_sum(T_b,tc_Nat_Onat))),V_x_2),c_Datatype_ONode(T_c,T_b))) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_c,tc_Nat_Onat)),tc_sum(T_b,tc_Nat_Onat))),V_y_2),c_Datatype_ONode(T_c,T_b))) % 197.15/197.35 => V_x_2 = V_y_2 ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Rep__Node,axiom, % 197.15/197.35 ! [V_x_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat))),hAPP(c_Datatype_ORep__Node(T_c,T_b),V_x_2)),c_Datatype_ONode(T_b,T_c))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Node__Push__I,axiom, % 197.15/197.35 ! [V_i_2,V_p_2,T_c,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat))),V_p_2),c_Datatype_ONode(T_b,T_c))) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat))),hAPP(c_Product__Type_Oapfst(tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat),hAPP(c_Datatype_OPush(T_b),V_i_2)),V_p_2)),c_Datatype_ONode(T_b,T_c))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__set__def,axiom, % 197.15/197.35 ! [V_S_2] : % 197.15/197.35 ( c_Nat__Transfer_Onat__set(V_S_2) % 197.15/197.35 <=> ! [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 197.15/197.35 ! [V_C_2] : c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_C_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 197.15/197.35 ! [V_B_2,V_A_2] : % 197.15/197.35 ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.35 => ( c_Nat__Transfer_Onat__set(V_B_2) % 197.15/197.35 => ( V_A_2 = V_B_2 % 197.15/197.35 <=> hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_A_2) = hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_B_2) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 197.15/197.35 ! [V_x_2,V_A_2] : % 197.15/197.35 ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 197.15/197.35 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 197.15/197.35 ! [V_x_2,V_A_2] : % 197.15/197.35 ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Abs__Node__inverse,axiom, % 197.15/197.35 ! [V_y_2,T_c,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat))),V_y_2),c_Datatype_ONode(T_b,T_c))) % 197.15/197.35 => hAPP(c_Datatype_ORep__Node(T_c,T_b),hAPP(c_Datatype_OAbs__Node(T_b,T_c),V_y_2)) = V_y_2 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Integ__def,axiom, % 197.15/197.35 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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_type__definition__Node,axiom, % 197.15/197.35 ! [T_c,T_b] : c_Typedef_Otype__definition(tc_Datatype_Onode(T_b,T_c),tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_c,tc_Nat_Onat)),tc_sum(T_b,tc_Nat_Onat)),c_Datatype_ORep__Node(T_b,T_c),c_Datatype_OAbs__Node(T_c,T_b),c_Datatype_ONode(T_c,T_b)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Rep__Node__induct,axiom, % 197.15/197.35 ! [V_P_2,V_y_2,T_c,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat))),V_y_2),c_Datatype_ONode(T_b,T_c))) % 197.15/197.35 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Datatype_ORep__Node(T_c,T_b),B_x))) % 197.15/197.35 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Rep__Node__cases,axiom, % 197.15/197.35 ! [V_y_2,T_c,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat))),V_y_2),c_Datatype_ONode(T_b,T_c))) % 197.15/197.35 => ~ ! [B_x] : V_y_2 != hAPP(c_Datatype_ORep__Node(T_c,T_b),B_x) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_type__definition_OAbs__image,axiom, % 197.15/197.35 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 197.15/197.35 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 197.15/197.35 => hAPP(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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_type__definition_ORep__range,axiom, % 197.15/197.35 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 197.15/197.35 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 197.15/197.35 => hAPP(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 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_type__definition_ORep,axiom, % 197.15/197.35 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 197.15/197.35 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_type__definition_OAbs__inverse,axiom, % 197.15/197.35 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 197.15/197.35 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 197.15/197.35 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_type__definition_ORep__inverse,axiom, % 197.15/197.35 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 197.15/197.35 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 197.15/197.35 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_type__definition_ORep__inject,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 197.15/197.35 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 197.15/197.35 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 197.15/197.35 <=> V_x_2 = V_y_2 ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_type__definition_OAbs__inject,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 197.15/197.35 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 197.15/197.35 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 197.15/197.35 <=> V_x_2 = V_y_2 ) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Abs__Node__induct,axiom, % 197.15/197.35 ! [V_x_2,V_P_2,T_c,T_b] : % 197.15/197.35 ( ! [B_y] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat))),B_y),c_Datatype_ONode(T_b,T_c))) % 197.15/197.35 => hBOOL(hAPP(V_P_2,hAPP(c_Datatype_OAbs__Node(T_b,T_c),B_y))) ) % 197.15/197.35 => hBOOL(hAPP(V_P_2,V_x_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Abs__Node__cases,axiom, % 197.15/197.35 ! [T_c,T_b,V_x_2] : % 197.15/197.35 ~ ! [B_y] : % 197.15/197.35 ( V_x_2 = hAPP(c_Datatype_OAbs__Node(T_b,T_c),B_y) % 197.15/197.35 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_Nat_Onat,tc_sum(T_b,tc_Nat_Onat)),tc_sum(T_c,tc_Nat_Onat))),B_y),c_Datatype_ONode(T_b,T_c))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Powp__Pow__eq,axiom, % 197.15/197.35 ! [V_x_2,V_A_2,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Random_Osimps,axiom, % 197.15/197.35 ! [V_size_2,V_g_2,T_b,V_nrandom_2] : % 197.15/197.35 ( ( 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))) % 197.15/197.35 => 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)) ) % 197.15/197.35 & ( ~ 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))) % 197.15/197.35 => 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))))))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_PowI,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Cantors__paradox,axiom, % 197.15/197.35 ! [V_A_2,T_b] : % 197.15/197.35 ~ ? [B_f] : hAPP(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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Pow__UNIV,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_image__Pow__surj,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 197.15/197.35 ( hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2) = V_B_2 % 197.15/197.35 => hAPP(hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(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) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Pow__top,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Pow__iff,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_PowD,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Pow__mono,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.35 => 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_image__Pow__mono,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2)),V_B_2)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Random__Sequence_Oempty__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Random__Sequence_Osingle__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_exE__realizer,axiom, % 197.15/197.35 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_P_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2))) % 197.15/197.35 => ( ! [B_x,B_y] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(V_P_2,B_y),B_x)) % 197.15/197.35 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) ) % 197.15/197.35 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_RangeI,axiom, % 197.15/197.35 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Range__Diff__subset,axiom, % 197.15/197.35 ! [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)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_snd__eq__Range,axiom, % 197.15/197.35 ! [V_R_2,T_b,T_c] : hAPP(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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Range__iff,axiom, % 197.15/197.35 ! [V_r_2,T_c,V_a_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 197.15/197.35 <=> ? [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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_RangeP__Range__eq,axiom, % 197.15/197.35 ! [V_x_2,V_r_2,T_c,T_b] : % 197.15/197.35 ( 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) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Random__Sequence_Omap__def,axiom, % 197.15/197.35 ! [V_P_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_P_2) = c_Random__Sequence_Obind(T_c,T_b,V_P_2,hAPP(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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_RangeE,axiom, % 197.15/197.35 ! [V_r_2,T_c,V_b_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 197.15/197.35 => ~ ! [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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Id__on__iff,axiom, % 197.15/197.35 ! [V_A_2,V_y_2,V_x_2,T_b] : % 197.15/197.35 ( 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))) % 197.15/197.35 <=> ( V_x_2 = V_y_2 % 197.15/197.35 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_RangeP_Ointros,axiom, % 197.15/197.35 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 197.15/197.35 => c_Predicate_ORangeP(T_b,T_c,V_r_2,V_b_2) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_RangeP_Oequations,axiom, % 197.15/197.35 ! [V_a2_2,V_r_2,T_c,T_b] : % 197.15/197.35 ( c_Predicate_ORangeP(T_b,T_c,V_r_2,V_a2_2) % 197.15/197.35 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Range__Id__on,axiom, % 197.15/197.35 ! [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 ). % 197.15/197.35 % 197.15/197.35 fof(fact_refl__on__Id__on,axiom, % 197.15/197.35 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Id__on__def_H,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Id__on__eqI,axiom, % 197.15/197.35 ! [V_A_2,T_b,V_b_2,V_a_2] : % 197.15/197.35 ( V_a_2 = V_b_2 % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.35 => 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))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Id__onE,axiom, % 197.15/197.35 ! [V_A_2,V_c_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2))) % 197.15/197.35 => ~ ! [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.35 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_irrefl__diff__Id,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_map__pair__surj,axiom, % 197.15/197.35 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] : % 197.15/197.35 ( hAPP(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)) % 197.15/197.35 => ( hAPP(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)) % 197.15/197.35 => hAPP(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)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_IdI,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_map__pair__imageI,axiom, % 197.15/197.35 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 => 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(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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_map__pair__ident,axiom, % 197.15/197.35 ! [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 ). % 197.15/197.35 % 197.15/197.35 fof(fact_map__pair__simp,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_map__pair_Ocompositionality,axiom, % 197.15/197.35 ! [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(hAPP(c_Fun_Ocomp(T_d,T_b,T_f),V_f_2),V_h_2),hAPP(hAPP(c_Fun_Ocomp(T_e,T_c,T_g),V_g_2),V_i_2)),V_prod_2) ). % 197.15/197.35 % 197.15/197.35 fof(fact_map__pair__compose,axiom, % 197.15/197.35 ! [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(hAPP(c_Fun_Ocomp(T_f,T_d,T_b),V_f1_2),V_f2_2),hAPP(hAPP(c_Fun_Ocomp(T_g,T_e,T_c),V_g1_2),V_g2_2)) = hAPP(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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_map__pair_Ocomp,axiom, % 197.15/197.35 ! [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(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(hAPP(c_Fun_Ocomp(T_f,T_d,T_b),V_f_2),V_h_2),hAPP(hAPP(c_Fun_Ocomp(T_g,T_e,T_c),V_g_2),V_i_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_fst__map__pair,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_fst__comp__map__pair,axiom, % 197.15/197.35 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(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(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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_snd__prod__fun,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_snd__comp__map__pair,axiom, % 197.15/197.35 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(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(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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_map__pair_Oidentity,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_pair__in__Id__conv,axiom, % 197.15/197.35 ! [V_b_2,V_a_2,T_b] : % 197.15/197.35 ( 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))) % 197.15/197.35 <=> V_a_2 = V_b_2 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_relpow_Osimps_I1_J,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Range__Id,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_refl__Id,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_apfst__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_apsnd__def,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_map__pair_Oid,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_map__pair__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_total__on__diff__Id,axiom, % 197.15/197.35 ! [V_r_2,V_A_2,T_b] : % 197.15/197.35 ( 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))) % 197.15/197.35 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_prod__fun__imageE,axiom, % 197.15/197.35 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(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))) % 197.15/197.35 => ~ ! [B_x,B_y] : % 197.15/197.35 ( 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)) % 197.15/197.35 => ~ 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)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_pos__not__random__dseq__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_IdE,axiom, % 197.15/197.35 ! [V_p_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b))) % 197.15/197.35 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 197.15/197.35 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 197.15/197.35 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 197.15/197.35 => 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) ) % 197.15/197.35 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 197.15/197.35 => 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)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 197.15/197.35 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 197.15/197.35 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 197.15/197.35 => 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) ) % 197.15/197.35 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 197.15/197.35 => 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)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_code__numeral__not__eq__zero,axiom, % 197.15/197.35 ! [V_i_2] : % 197.15/197.35 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 197.15/197.35 <=> 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 197.15/197.35 ! [V_m_2,V_na_2] : % 197.15/197.35 ( hAPP(c_Code__Numeral_Oof__nat,V_na_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 197.15/197.35 <=> V_na_2 = V_m_2 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 197.15/197.35 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 197.15/197.35 % 197.15/197.35 fof(fact_code__numeral_Oof__nat__inject,axiom, % 197.15/197.35 ! [V_y_2,V_x_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 197.15/197.35 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 197.15/197.35 <=> V_x_2 = V_y_2 ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zero__code__numeral__def,axiom, % 197.15/197.35 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_one__code__numeral__def,axiom, % 197.15/197.35 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_less__code__numeral__code,axiom, % 197.15/197.35 ! [V_m_2,V_na_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_na_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_number__of__code__numeral__def,axiom, % 197.15/197.35 c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Code__Numeral_Ocode__numeral,tc_Int_Oint),c_Code__Numeral_Oof__nat),c_Int_Onat) ). % 197.15/197.35 % 197.15/197.35 fof(fact_plus__code__numeral__code,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_less__eq__code__numeral__code,axiom, % 197.15/197.35 ! [V_m_2,V_na_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_na_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_subtract__code__numeral__code,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_times__code__numeral__code,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_neg__bind__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_New__DSequence_Opos__empty__def,axiom, % 197.15/197.35 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 197.15/197.35 % 197.15/197.35 fof(fact_New__DSequence_Opos__bind__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_pos__empty__def,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_pos__bind__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_code__numeral__decr,axiom, % 197.15/197.35 ! [V_k] : % 197.15/197.35 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 197.15/197.35 => 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_neg__map__def,axiom, % 197.15/197.35 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_P_2,hAPP(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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_code__numeral_Onat__of__inject,axiom, % 197.15/197.35 ! [V_y_2,V_x_2] : % 197.15/197.35 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 197.15/197.35 <=> V_x_2 = V_y_2 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 197.15/197.35 ! [V_l_2,V_k_2] : % 197.15/197.35 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 197.15/197.35 <=> V_k_2 = V_l_2 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__of__inverse,axiom, % 197.15/197.35 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 197.15/197.35 % 197.15/197.35 fof(fact_of__nat__nat__of,axiom, % 197.15/197.35 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__of__of__nat,axiom, % 197.15/197.35 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 197.15/197.35 % 197.15/197.35 fof(fact_type__definition__code__numeral,axiom, % 197.15/197.35 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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_less__code__numeral__def,axiom, % 197.15/197.35 ! [V_m_2,V_na_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_na_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__of,axiom, % 197.15/197.35 ! [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)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__of__number,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_int__of__def,axiom, % 197.15/197.35 c_Code__Numeral_Oint__of = hAPP(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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_less__eq__code__numeral__def,axiom, % 197.15/197.35 ! [V_m_2,V_na_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_na_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__of__code,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__of__aux__def,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Suc__code__numeral__def,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_minus__code__numeral__def,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_of__nat__inverse,axiom, % 197.15/197.35 ! [V_y_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 197.15/197.35 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_plus__code__numeral__def,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_div__code__numeral__def,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_times__code__numeral__def,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_mod__code__numeral__def,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_neg__single__def,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_pos__map__def,axiom, % 197.15/197.35 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_P_2,hAPP(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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__of__induct,axiom, % 197.15/197.35 ! [V_P_2,V_y_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 197.15/197.35 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Onat__of,B_x))) % 197.15/197.35 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__of__cases,axiom, % 197.15/197.35 ! [V_y_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 197.15/197.35 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_New__DSequence_Oneg__single__def,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_pos__single__def,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_of__nat__induct,axiom, % 197.15/197.35 ! [V_x_2,V_P_2] : % 197.15/197.35 ( ! [B_y] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 197.15/197.35 => hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) ) % 197.15/197.35 => hBOOL(hAPP(V_P_2,V_x_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_of__nat__cases,axiom, % 197.15/197.35 ! [V_x_2] : % 197.15/197.35 ~ ! [B_y] : % 197.15/197.35 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y) % 197.15/197.35 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_New__DSequence_Opos__single__def,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_beyond__def,axiom, % 197.15/197.35 ! [V_l,V_k] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 197.15/197.35 => c_Quickcheck_Obeyond(V_k,V_l) = V_l ) % 197.15/197.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 197.15/197.35 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_curry__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_DomainI,axiom, % 197.15/197.35 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_curryI,axiom, % 197.15/197.35 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] : % 197.15/197.35 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Domain__Id__on,axiom, % 197.15/197.35 ! [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 ). % 197.15/197.35 % 197.15/197.35 fof(fact_beyond__zero,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_curryE,axiom, % 197.15/197.35 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 197.15/197.35 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_curryD,axiom, % 197.15/197.35 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 197.15/197.35 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Domain__mono,axiom, % 197.15/197.35 ! [V_s_2,V_r_2,T_c,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 => 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Domain__Id,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_curry__conv,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_fst__eq__Domain,axiom, % 197.15/197.35 ! [V_R_2,T_c,T_b] : hAPP(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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_split__curry,axiom, % 197.15/197.35 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ). % 197.15/197.35 % 197.15/197.35 fof(fact_curry__split,axiom, % 197.15/197.35 ! [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 ). % 197.15/197.35 % 197.15/197.35 fof(fact_Domain__iff,axiom, % 197.15/197.35 ! [V_r_2,T_c,V_a_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 197.15/197.35 <=> ? [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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Domain__Diff__subset,axiom, % 197.15/197.35 ! [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)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_DomainP__Domain__eq,axiom, % 197.15/197.35 ! [V_x_2,V_r_2,T_c,T_b] : % 197.15/197.35 ( 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) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_DomainE,axiom, % 197.15/197.35 ! [V_r_2,T_c,V_a_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 197.15/197.35 => ~ ! [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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_less__than__iff,axiom, % 197.15/197.35 ! [V_y_2,V_x_2] : % 197.15/197.35 ( 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)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_congruentI,axiom, % 197.15/197.35 ! [T_c,V_f_2,V_r_2,T_b] : % 197.15/197.35 ( ! [B_y,B_z] : % 197.15/197.35 ( 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)) % 197.15/197.35 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) ) % 197.15/197.35 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_DomainP_Ointros,axiom, % 197.15/197.35 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 197.15/197.35 => c_Predicate_ODomainP(T_b,T_c,V_r_2,V_a_2) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_pair__less__def,axiom, % 197.15/197.35 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 197.15/197.35 % 197.15/197.35 fof(fact_mlex__prod__def,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_measure__def,axiom, % 197.15/197.35 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ). % 197.15/197.35 % 197.15/197.35 fof(fact_congruent2I_H,axiom, % 197.15/197.35 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] : % 197.15/197.35 ( ! [B_y1,B_z1] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y1),B_z1)),V_r1_2)) % 197.15/197.35 => ! [B_y2,B_z2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y2),B_z2)),V_r2_2)) % 197.15/197.35 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) ) % 197.15/197.35 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_power__dvd__imp__le,axiom, % 197.15/197.35 ! [V_n,V_m,V_i] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oorder__refl,axiom, % 197.15/197.35 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__0__right,axiom, % 197.15/197.35 ! [V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__1__left,axiom, % 197.15/197.35 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__triv__left,axiom, % 197.15/197.35 ! [V_b,V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__triv__right,axiom, % 197.15/197.35 ! [V_b,V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__mult2,axiom, % 197.15/197.35 ! [V_c,V_b,V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__mult,axiom, % 197.15/197.35 ! [V_b,V_c,V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_mult__dvd__mono,axiom, % 197.15/197.35 ! [V_d,V_c,V_b,V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvdI,axiom, % 197.15/197.35 ! [V_k,V_b,V_a,T_a] : % 197.15/197.35 ( class_Rings_Odvd(T_a) % 197.15/197.35 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__mult__left,axiom, % 197.15/197.35 ! [V_c,V_b,V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__mult__right,axiom, % 197.15/197.35 ! [V_c,V_b,V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__dvd__1__iff__1,axiom, % 197.15/197.35 ! [V_m_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))) % 197.15/197.35 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__abs__iff,axiom, % 197.15/197.35 ! [V_k_2,V_m_2,T_b] : % 197.15/197.35 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_abs__dvd__iff,axiom, % 197.15/197.35 ! [V_k_2,V_m_2,T_b] : % 197.15/197.35 ( class_Rings_Olinordered__idom(T_b) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__if__abs__eq,axiom, % 197.15/197.35 ! [V_k,V_l,T_a] : % 197.15/197.35 ( class_Rings_Olinordered__idom(T_a) % 197.15/197.35 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__power__same,axiom, % 197.15/197.35 ! [V_n,V_y,V_x,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__0__left,axiom, % 197.15/197.35 ! [V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 197.15/197.35 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__refl,axiom, % 197.15/197.35 ! [V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__trans,axiom, % 197.15/197.35 ! [V_c,V_b,V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oeq__iff,axiom, % 197.15/197.35 ! [V_y_2,V_x_2] : % 197.15/197.35 ( V_x_2 = V_y_2 % 197.15/197.35 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 197.15/197.35 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Ole__less,axiom, % 197.15/197.35 ! [V_y_2,V_x_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 197.15/197.35 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) % 197.15/197.35 | V_x_2 = V_y_2 ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oless__le,axiom, % 197.15/197.35 ! [V_y_2,V_x_2] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) % 197.15/197.35 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 197.15/197.35 & V_x_2 != V_y_2 ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oneq__le__trans,axiom, % 197.15/197.35 ! [V_b,V_a] : % 197.15/197.35 ( V_a != V_b % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oeq__refl,axiom, % 197.15/197.35 ! [V_y,V_x] : % 197.15/197.35 ( V_x = V_y % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oantisym__conv,axiom, % 197.15/197.35 ! [V_x_2,V_y_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 197.15/197.35 <=> V_x_2 = V_y_2 ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Ole__imp__less__or__eq,axiom, % 197.15/197.35 ! [V_y,V_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 197.15/197.35 | V_x = V_y ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Ole__neq__trans,axiom, % 197.15/197.35 ! [V_b,V_a] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 197.15/197.35 => ( V_a != V_b % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oord__eq__le__trans,axiom, % 197.15/197.35 ! [V_c,V_b,V_a] : % 197.15/197.35 ( V_a = V_b % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oord__le__eq__trans,axiom, % 197.15/197.35 ! [V_c,V_b,V_a] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 197.15/197.35 => ( V_b = V_c % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__antisym,axiom, % 197.15/197.35 ! [V_n,V_m] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) % 197.15/197.35 => V_m = V_n ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oantisym,axiom, % 197.15/197.35 ! [V_y,V_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 197.15/197.35 => V_x = V_y ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oorder__trans,axiom, % 197.15/197.35 ! [V_z,V_y,V_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oord__eq__less__trans,axiom, % 197.15/197.35 ! [V_c,V_b,V_a] : % 197.15/197.35 ( V_a = V_b % 197.15/197.35 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) ) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Ole__less__trans,axiom, % 197.15/197.35 ! [V_z,V_y,V_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) ) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oless__imp__neq,axiom, % 197.15/197.35 ! [V_y,V_x] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 197.15/197.35 => V_x != V_y ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oless__not__sym,axiom, % 197.15/197.35 ! [V_y,V_x] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 197.15/197.35 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oless__imp__le,axiom, % 197.15/197.35 ! [V_y,V_x] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oless__imp__not__less,axiom, % 197.15/197.35 ! [V_y,V_x] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 197.15/197.35 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oless__imp__not__eq,axiom, % 197.15/197.35 ! [V_y,V_x] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 197.15/197.35 => V_x != V_y ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oless__imp__not__eq2,axiom, % 197.15/197.35 ! [V_y,V_x] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 197.15/197.35 => V_y != V_x ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oord__less__eq__trans,axiom, % 197.15/197.35 ! [V_c,V_b,V_a] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) % 197.15/197.35 => ( V_b = V_c % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oless__le__trans,axiom, % 197.15/197.35 ! [V_z,V_y,V_x] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oless__asym_H,axiom, % 197.15/197.35 ! [V_b,V_a] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) % 197.15/197.35 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oless__trans,axiom, % 197.15/197.35 ! [V_z,V_y,V_x] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 197.15/197.35 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) ) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Oless__asym,axiom, % 197.15/197.35 ! [V_y,V_x] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 197.15/197.35 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_minus__dvd__iff,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,T_b] : % 197.15/197.35 ( class_Rings_Ocomm__ring__1(T_b) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__minus__iff,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,T_b] : % 197.15/197.35 ( class_Rings_Ocomm__ring__1(T_b) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_one__dvd,axiom, % 197.15/197.35 ! [V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__mod__imp__dvd,axiom, % 197.15/197.35 ! [V_n,V_m,V_k,T_a] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__mod,axiom, % 197.15/197.35 ! [V_n,V_m,V_k,T_a] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_mod__mod__cancel,axiom, % 197.15/197.35 ! [V_a,V_b,V_c,T_a] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b)) % 197.15/197.35 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,V_a,V_c) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__mod__iff,axiom, % 197.15/197.35 ! [V_m_2,V_na_2,V_k_2,T_b] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_b) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_na_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),c_Divides_Odiv__class_Omod(T_b,V_m_2,V_na_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_div__dvd__div,axiom, % 197.15/197.35 ! [V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_b) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_c_2),V_a_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__add,axiom, % 197.15/197.35 ! [V_c,V_b,V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__reduce,axiom, % 197.15/197.35 ! [V_na_2,V_k_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_na_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__diff,axiom, % 197.15/197.35 ! [V_z,V_y,V_x,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__ring__1(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__diff__nat,axiom, % 197.15/197.35 ! [V_n,V_m,V_k] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__mult__cancel__left,axiom, % 197.15/197.35 ! [V_b_2,V_a_2,V_c_2,T_b] : % 197.15/197.35 ( class_Rings_Oidom(T_b) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))) % 197.15/197.35 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.35 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__mult__cancel__right,axiom, % 197.15/197.35 ! [V_b_2,V_c_2,V_a_2,T_b] : % 197.15/197.35 ( class_Rings_Oidom(T_b) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))) % 197.15/197.35 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.35 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__imp__mod__0,axiom, % 197.15/197.35 ! [V_b,V_a,T_a] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 197.15/197.35 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__eq__mod__eq__0,axiom, % 197.15/197.35 ! [V_b_2,V_a_2,T_b] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_b) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 197.15/197.35 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_div__add,axiom, % 197.15/197.35 ! [V_y,V_x,V_z,T_a] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y)) % 197.15/197.35 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_z)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_y),V_z)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_div__mult__div__if__dvd,axiom, % 197.15/197.35 ! [V_w,V_z,V_x,V_y,T_a] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w)) % 197.15/197.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_w),V_z)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__div__mult,axiom, % 197.15/197.35 ! [V_c,V_b,V_a,T_a] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 197.15/197.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_c) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_a) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__div__mult__self,axiom, % 197.15/197.35 ! [V_b,V_a,T_a] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 197.15/197.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_a) = V_b ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_div__mult__swap,axiom, % 197.15/197.35 ! [V_a,V_b,V_c,T_a] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b)) % 197.15/197.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__mult__div__cancel,axiom, % 197.15/197.35 ! [V_b,V_a,T_a] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 197.15/197.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)) = V_b ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__neg__div,axiom, % 197.15/197.35 ! [V_x,V_y,T_a] : % 197.15/197.35 ( class_Divides_Oring__div(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 197.15/197.35 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_y) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__div__neg,axiom, % 197.15/197.35 ! [V_x,V_y,T_a] : % 197.15/197.35 ( class_Divides_Oring__div(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 197.15/197.35 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_power__le__dvd,axiom, % 197.15/197.35 ! [V_m,V_b,V_n,V_a,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_b)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_b)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__power__le,axiom, % 197.15/197.35 ! [V_m,V_n,V_y,V_x,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_m))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_le__imp__power__dvd,axiom, % 197.15/197.35 ! [V_a,V_n,V_m,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_div__power,axiom, % 197.15/197.35 ! [V_n,V_x,V_y,T_a] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 197.15/197.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__1__iff__1,axiom, % 197.15/197.35 ! [V_m_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) % 197.15/197.35 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__dvd__not__less,axiom, % 197.15/197.35 ! [V_n,V_m] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 197.15/197.35 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__mult__dvd__cancel__disj,axiom, % 197.15/197.35 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 197.15/197.35 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.35 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__diffD,axiom, % 197.15/197.35 ! [V_n,V_m,V_k] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__diffD1,axiom, % 197.15/197.35 ! [V_n,V_m,V_k] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_unity__coeff__ex,axiom, % 197.15/197.35 ! [V_l_2,V_P_2,T_b] : % 197.15/197.35 ( ( class_Rings_Odvd(T_b) % 197.15/197.35 & class_Rings_Osemiring__0(T_b) ) % 197.15/197.35 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x))) % 197.15/197.35 <=> ? [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),c_Groups_Ozero__class_Ozero(T_b)))) % 197.15/197.35 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_inf__period_I3_J,axiom, % 197.15/197.35 ! [V_ta_2,V_D_2,V_d_2,T_b] : % 197.15/197.35 ( ( class_Rings_Ocomm__ring(T_b) % 197.15/197.35 & class_Rings_Odvd(T_b) ) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 197.15/197.35 => ! [B_x,B_k] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_ta_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_ta_2))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_inf__period_I4_J,axiom, % 197.15/197.35 ! [V_ta_2,V_D_2,V_d_2,T_b] : % 197.15/197.35 ( ( class_Rings_Ocomm__ring(T_b) % 197.15/197.35 & class_Rings_Odvd(T_b) ) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 197.15/197.35 => ! [B_x,B_k] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_ta_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_ta_2))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__eq__mod__eq__0__number__of,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,T_b] : % 197.15/197.35 ( ( class_Divides_Osemiring__div(T_b) % 197.15/197.35 & class_Int_Onumber(T_b) ) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))) % 197.15/197.35 <=> c_Divides_Odiv__class_Omod(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__div__div__eq__mult,axiom, % 197.15/197.35 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_b) % 197.15/197.35 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.35 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2)) % 197.15/197.35 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_d_2),V_c_2) % 197.15/197.35 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2) ) ) ) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__div__eq__mult,axiom, % 197.15/197.35 ! [V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.35 ( class_Divides_Osemiring__div(T_b) % 197.15/197.35 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 197.15/197.35 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2 % 197.15/197.35 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__imp__le,axiom, % 197.15/197.35 ! [V_n,V_k] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__mult__cancel,axiom, % 197.15/197.35 ! [V_n,V_m,V_k] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__mult__dvd__cancel1,axiom, % 197.15/197.35 ! [V_na_2,V_m_2,V_k_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__power,axiom, % 197.15/197.35 ! [V_x,V_n,T_a] : % 197.15/197.35 ( class_Rings_Ocomm__semiring__1(T_a) % 197.15/197.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 197.15/197.35 | V_x = c_Groups_Oone__class_Oone(T_a) ) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_in__inv__image,axiom, % 197.15/197.35 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] : % 197.15/197.35 ( 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))) % 197.15/197.35 <=> 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__mult__cancel2,axiom, % 197.15/197.35 ! [V_na_2,V_m_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_m_2)),V_m_2)) % 197.15/197.35 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__mult__cancel1,axiom, % 197.15/197.35 ! [V_na_2,V_m_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)),V_m_2)) % 197.15/197.35 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_rp__inv__image__def,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Ostrict__monoD,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,V_f_2,T_b] : % 197.15/197.35 ( class_Orderings_Oorder(T_b) % 197.15/197.35 => ( c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_f_2) % 197.15/197.35 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_OmonoD,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,V_f_2,T_b] : % 197.15/197.35 ( class_Orderings_Oorder(T_b) % 197.15/197.35 => ( c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 197.15/197.35 => 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))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_nat__dvd__iff,axiom, % 197.15/197.35 ! [V_m_2,V_z_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),V_m_2)) % 197.15/197.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) ) % 197.15/197.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 197.15/197.35 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_uminus__dvd__conv_I1_J,axiom, % 197.15/197.35 ! [V_ta_2,V_d_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_ta_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d_2)),V_ta_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_uminus__dvd__conv_I2_J,axiom, % 197.15/197.35 ! [V_ta_2,V_d_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_ta_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_ta_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__zmod__imp__zdvd,axiom, % 197.15/197.35 ! [V_n,V_m,V_k] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n))) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_n)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_m)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__zmod,axiom, % 197.15/197.35 ! [V_n,V_m,V_f] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),V_m)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),V_n)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_f),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__antisym__abs,axiom, % 197.15/197.35 ! [V_b,V_a] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a),V_b)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_b),V_a)) % 197.15/197.35 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_a) = hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_b) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__zdiffD,axiom, % 197.15/197.35 ! [V_n,V_m,V_k] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),V_n))) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_n)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k),V_m)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__antisym__nonneg,axiom, % 197.15/197.35 ! [V_n,V_m] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m)) % 197.15/197.35 => V_m = V_n ) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__not__zless,axiom, % 197.15/197.35 ! [V_n,V_m] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_m),V_n)) % 197.15/197.35 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__mono,axiom, % 197.15/197.35 ! [V_ta_2,V_m_2,V_k_2] : % 197.15/197.35 ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m_2),V_ta_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_ta_2))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__mult__cancel,axiom, % 197.15/197.35 ! [V_n,V_m,V_k] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_n))) % 197.15/197.35 => ( V_k != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_m),V_n)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__period,axiom, % 197.15/197.35 ! [V_c_2,V_ta_2,V_x_2,V_d_2,V_a_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a_2),V_d_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),V_ta_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_c_2),V_d_2))),V_ta_2))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__reduce,axiom, % 197.15/197.35 ! [V_m_2,V_na_2,V_k_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_na_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_m_2)))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_k_2),V_na_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_transfer__int__nat__relations_I4_J,axiom, % 197.15/197.35 ! [V_y_2,V_x_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__int,axiom, % 197.15/197.35 ! [V_y_2,V_x_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__mult__div__cancel,axiom, % 197.15/197.35 ! [V_m,V_n] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_n),V_m)) % 197.15/197.35 => 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)) = V_m ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zmod__eq__dvd__iff,axiom, % 197.15/197.35 ! [V_y_2,V_na_2,V_x_2] : % 197.15/197.35 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x_2,V_na_2) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_y_2,V_na_2) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_na_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x_2),V_y_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd1__eq,axiom, % 197.15/197.35 ! [V_x_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_x_2),c_Groups_Oone__class_Oone(tc_Int_Oint))) % 197.15/197.35 <=> hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_abs__div,axiom, % 197.15/197.35 ! [V_x,V_y] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_y),V_x)) % 197.15/197.35 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Ostrict__mono__mono,axiom, % 197.15/197.35 ! [V_f_2,T_b] : % 197.15/197.35 ( class_Orderings_Oorder(T_b) % 197.15/197.35 => ( c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_f_2) % 197.15/197.35 => c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__imp__le,axiom, % 197.15/197.35 ! [V_n,V_z] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z),V_n)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_n)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__iff__zmod__eq__0__number__of,axiom, % 197.15/197.35 ! [V_y_2,V_x_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_y_2))) % 197.15/197.35 <=> c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_x_2)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__imp__le__int,axiom, % 197.15/197.35 ! [V_d,V_i] : % 197.15/197.35 ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d),V_i)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_d)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_transfer__nat__int__relations_I4_J,axiom, % 197.15/197.35 ! [V_y_2,V_x_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_zdvd__mult__cancel1,axiom, % 197.15/197.35 ! [V_na_2,V_m_2] : % 197.15/197.35 ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2)),V_m_2)) % 197.15/197.35 <=> hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd__int__iff,axiom, % 197.15/197.35 ! [V_m_2,V_z_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2))),V_m_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_int__dvd__iff,axiom, % 197.15/197.35 ! [V_z_2,V_m_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2)) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2)))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_rp__inv__image__rp,axiom, % 197.15/197.35 ! [V_f_2,T_c,V_P_2,T_b] : % 197.15/197.35 ( c_FunDef_Oreduction__pair(T_b,V_P_2) % 197.15/197.35 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_P_2),V_f_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_Ostrict__monoI,axiom, % 197.15/197.35 ! [V_f_2,T_b] : % 197.15/197.35 ( class_Orderings_Oorder(T_b) % 197.15/197.35 => ( ! [B_x,B_y] : % 197.15/197.35 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_x),B_y)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_y),B_x)) ) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),hAPP(V_f_2,B_y))) ) % 197.15/197.35 => c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,T_b,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_f_2) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_OmonoI,axiom, % 197.15/197.35 ! [V_f_2,T_b] : % 197.15/197.35 ( class_Orderings_Oorder(T_b) % 197.15/197.35 => ( ! [B_x,B_y] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B_x),B_y)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_f_2,B_y))) ) % 197.15/197.35 => c_Orderings_Oorder_Omono(tc_Nat_Onat,T_b,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_f_2) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_inv__image__def,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_CollectI,axiom, % 197.15/197.35 ! [T_b,V_a_2,V_P_2] : % 197.15/197.35 ( hBOOL(hAPP(V_P_2,V_a_2)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_UNIV__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_CollectE,axiom, % 197.15/197.35 ! [V_P_2,V_a_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) % 197.15/197.35 => hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_CollectD,axiom, % 197.15/197.35 ! [V_P_2,V_a_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) % 197.15/197.35 => hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_mem__Collect__eq,axiom, % 197.15/197.35 ! [V_P_2,V_a_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) % 197.15/197.35 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Collect__mem__eq,axiom, % 197.15/197.35 ! [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 ). % 197.15/197.35 % 197.15/197.35 fof(fact_Collect__def,axiom, % 197.15/197.35 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2 ). % 197.15/197.35 % 197.15/197.35 fof(fact_Collect__neg__eq,axiom, % 197.15/197.35 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_set__diff__eq,axiom, % 197.15/197.35 ! [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)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Compl__eq,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Nitpick_Oprod__def,axiom, % 197.15/197.35 ! [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)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_int__ge__less__than__def,axiom, % 197.15/197.35 ! [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)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_int__ge__less__than2__def,axiom, % 197.15/197.35 ! [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)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_reflp__def,axiom, % 197.15/197.35 ! [V_r_2,T_b] : % 197.15/197.35 ( c_Predicate_Oreflp(T_b,V_r_2) % 197.15/197.35 <=> 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_reflpE,axiom, % 197.15/197.35 ! [V_x_2,V_r_2,T_b] : % 197.15/197.35 ( c_Predicate_Oreflp(T_b,V_r_2) % 197.15/197.35 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 197.15/197.35 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_P_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 197.15/197.35 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_P_2) = hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_P_2),c_Int_Onat)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Pow__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 197.15/197.35 ! [V_P_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Range__Collect__split,axiom, % 197.15/197.35 ! [V_P_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Domain__Collect__split,axiom, % 197.15/197.35 ! [V_P_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_P_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_converse__def,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_OlessThan__iff,axiom, % 197.15/197.35 ! [V_k_2,V_i_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OlessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2))) % 197.15/197.35 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_converse__converse,axiom, % 197.15/197.35 ! [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 ). % 197.15/197.35 % 197.15/197.35 fof(fact_refl__on__converse,axiom, % 197.15/197.35 ! [V_r_2,V_A_2,T_b] : % 197.15/197.35 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 197.15/197.35 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_converse__Id,axiom, % 197.15/197.35 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ). % 197.15/197.35 % 197.15/197.35 fof(fact_converse__Id__on,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_converse__inv__image,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_DomainP_Oequations,axiom, % 197.15/197.35 ! [V_a1_2,V_r_2,T_c,T_b] : % 197.15/197.35 ( c_Predicate_ODomainP(T_b,T_c,V_r_2,V_a1_2) % 197.15/197.35 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_total__on__converse,axiom, % 197.15/197.35 ! [V_r_2,V_A_2,T_b] : % 197.15/197.35 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 197.15/197.35 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_ord_OlessThan__iff,axiom, % 197.15/197.35 ! [V_k_2,V_less_2,V_i_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_converse__iff,axiom, % 197.15/197.35 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 197.15/197.35 ( 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))) % 197.15/197.35 <=> 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_converseI,axiom, % 197.15/197.35 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 => 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_converseD,axiom, % 197.15/197.35 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 197.15/197.35 ( 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))) % 197.15/197.35 => 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Range__def,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Domain__converse,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Range__converse,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Pow__Compl,axiom, % 197.15/197.35 ! [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))))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Id__def,axiom, % 197.15/197.35 ! [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))))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_OgreaterThan__iff,axiom, % 197.15/197.35 ! [V_k_2,V_i_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2))) % 197.15/197.35 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_OatLeast__iff,axiom, % 197.15/197.35 ! [V_k_2,V_i_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatLeast(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_OatMost__iff,axiom, % 197.15/197.35 ! [V_k_2,V_i_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 197.15/197.35 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 197.15/197.35 ( 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))) % 197.15/197.35 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 197.15/197.35 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_ord_OatMost__iff,axiom, % 197.15/197.35 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_ord_OatLeast__iff,axiom, % 197.15/197.35 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_ord_OgreaterThan__iff,axiom, % 197.15/197.35 ! [V_k_2,V_less_2,V_i_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2))) % 197.15/197.35 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_ord_OatLeastAtMost__iff,axiom, % 197.15/197.35 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] : % 197.15/197.35 ( 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))) % 197.15/197.35 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 197.15/197.35 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 197.15/197.35 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] : % 197.15/197.35 ( 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))) % 197.15/197.35 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 197.15/197.35 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_ord_OatLeastLessThan__iff,axiom, % 197.15/197.35 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 197.15/197.35 ( 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))) % 197.15/197.35 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 197.15/197.35 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_ex__prs,axiom, % 197.15/197.35 ! [V_f_2,V_repf_2,V_absf_2,V_R_2,T_c,T_b] : % 197.15/197.35 ( c_Quotient_OQuotient(T_b,T_c,V_R_2,V_absf_2,V_repf_2) % 197.15/197.35 => ( ? [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.15/197.35 & hBOOL(hAPP(hAPP(c_Fun_Omap__fun(T_b,T_c,tc_HOL_Obool,tc_HOL_Obool,V_absf_2,c_Fun_Oid(tc_HOL_Obool)),V_f_2),B_x)) ) % 197.15/197.35 <=> ? [B_x1] : hBOOL(hAPP(V_f_2,B_x1)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_bex__UNIV,axiom, % 197.15/197.35 ! [V_P_2,T_b] : % 197.15/197.35 ( ? [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 197.15/197.35 & hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.35 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_bex__rsp,axiom, % 197.15/197.35 ! [V_g_2,V_f_2,V_R_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Quotient_Ofun__rel(T_b,T_b,tc_HOL_Obool,tc_HOL_Obool,V_R_2,c_fequal),V_f_2),V_g_2)) % 197.15/197.35 => ( ? [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.15/197.35 & hBOOL(hAPP(V_f_2,B_x)) ) % 197.15/197.35 <=> ? [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.15/197.35 & hBOOL(hAPP(V_g_2,B_x)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_bex__reg__eqv,axiom, % 197.15/197.35 ! [V_P_2,V_R_2,T_b] : % 197.15/197.35 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 197.15/197.35 => ( ? [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.15/197.35 & hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.35 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_OatLeastatMost__subset__iff,axiom, % 197.15/197.35 ! [V_d_2,V_c_2,V_b_2,V_a_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2))) % 197.15/197.35 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 197.15/197.35 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 197.15/197.35 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom, % 197.15/197.35 ! [V_d_2,V_c_2,V_b_2,V_a_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2))) % 197.15/197.35 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 197.15/197.35 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 197.15/197.35 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) % 197.15/197.35 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) ) % 197.15/197.35 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) % 197.15/197.35 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) ) % 197.15/197.35 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_rel__comp__def,axiom, % 197.15/197.35 ! [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))))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_bex__reg__right,axiom, % 197.15/197.35 ! [V_P_2,V_Q_2,V_R_2,T_b] : % 197.15/197.35 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 197.15/197.35 => ( ! [B_x] : % 197.15/197.35 ( hBOOL(hAPP(V_Q_2,B_x)) % 197.15/197.35 => hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.35 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1)) % 197.15/197.35 => ? [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 197.15/197.35 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_card__less__Suc,axiom, % 197.15/197.35 ! [V_i_2,V_M_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 197.15/197.35 => 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))))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_card__less,axiom, % 197.15/197.35 ! [V_i_2,V_M_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 197.15/197.35 => 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) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_rel__compI,axiom, % 197.15/197.35 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 => ( 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)) % 197.15/197.35 => 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))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_converse__rel__comp,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Id__O__R,axiom, % 197.15/197.35 ! [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 ). % 197.15/197.35 % 197.15/197.35 fof(fact_R__O__Id,axiom, % 197.15/197.35 ! [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 ). % 197.15/197.35 % 197.15/197.35 fof(fact_rel__comp__mono,axiom, % 197.15/197.35 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 => ( 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)) % 197.15/197.35 => 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))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_O__assoc,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_rel__pow__commute,axiom, % 197.15/197.35 ! [V_na_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_na_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_na_2),V_R_2)),V_R_2) ). % 197.15/197.35 % 197.15/197.35 fof(fact_relpow_Osimps_I2_J,axiom, % 197.15/197.35 ! [V_R_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_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_na_2),V_R_2)),V_R_2) ). % 197.15/197.35 % 197.15/197.35 fof(fact_rel__pow__add,axiom, % 197.15/197.35 ! [V_R_2,V_na_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_na_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_na_2),V_R_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_equiv__comp__eq,axiom, % 197.15/197.35 ! [V_r_2,V_A_2,T_b] : % 197.15/197.35 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.35 => 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 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_refl__on__comp__subset,axiom, % 197.15/197.35 ! [V_r_2,V_A_2,T_b] : % 197.15/197.35 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 197.15/197.35 => 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_comp__equivI,axiom, % 197.15/197.35 ! [V_A_2,V_r_2,T_b] : % 197.15/197.35 ( 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 % 197.15/197.35 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2 % 197.15/197.35 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_card__less__Suc2,axiom, % 197.15/197.35 ! [V_i_2,V_M_2] : % 197.15/197.35 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 197.15/197.35 => 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))))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_pred__comp__rel__comp__eq,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 <=> 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_reduction__pairI,axiom, % 197.15/197.35 ! [V_S_2,V_R_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_R_2) % 197.15/197.35 => ( 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)) % 197.15/197.35 => 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)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_transfer__nat__int__set__cong,axiom, % 197.15/197.35 ! [V_P_H_2,V_P_2] : % 197.15/197.35 ( ! [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 197.15/197.35 => ( hBOOL(hAPP(V_P_2,B_x)) % 197.15/197.35 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 197.15/197.35 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_rel__compE,axiom, % 197.15/197.35 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] : % 197.15/197.35 ( 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))) % 197.15/197.35 => ~ ! [B_x,B_y,B_z] : % 197.15/197.35 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z) % 197.15/197.35 => ( 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)) % 197.15/197.35 => ~ 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)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__less__than,axiom, % 197.15/197.35 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 197.15/197.35 % 197.15/197.35 fof(fact_pred__comp_Ointros,axiom, % 197.15/197.35 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2)) % 197.15/197.35 => 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)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__inv__image,axiom, % 197.15/197.35 ! [V_f_2,T_c,V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.35 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__lex__prod,axiom, % 197.15/197.35 ! [V_rb_2,T_c,V_ra_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_ra_2) % 197.15/197.35 => ( c_Wellfounded_Owf(T_c,V_rb_2) % 197.15/197.35 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__measure,axiom, % 197.15/197.35 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__comp__self,axiom, % 197.15/197.35 ! [V_R_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_R_2) % 197.15/197.35 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__less,axiom, % 197.15/197.35 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)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__exp,axiom, % 197.15/197.35 ! [V_R_2,V_na_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) % 197.15/197.35 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_eq__comp__r,axiom, % 197.15/197.35 ! [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 ). % 197.15/197.35 % 197.15/197.35 fof(fact_pred__comp_Oequations,axiom, % 197.15/197.35 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 <=> ? [B_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 197.15/197.35 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__subset,axiom, % 197.15/197.35 ! [V_p_2,V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.35 => ( 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)) % 197.15/197.35 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__pair__less,axiom, % 197.15/197.35 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__mlex,axiom, % 197.15/197.35 ! [V_f_2,V_R_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_R_2) % 197.15/197.35 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__not__refl,axiom, % 197.15/197.35 ! [V_a_2,V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.35 => ~ 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__not__sym,axiom, % 197.15/197.35 ! [V_x_2,V_a_2,V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.35 => ( 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)) % 197.15/197.35 => ~ 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)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__asym,axiom, % 197.15/197.35 ! [V_x_2,V_a_2,V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.35 => ( 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)) % 197.15/197.35 => ~ 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)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__irrefl,axiom, % 197.15/197.35 ! [V_a_2,V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.35 => ~ 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__int__ge__less__than,axiom, % 197.15/197.35 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__int__ge__less__than2,axiom, % 197.15/197.35 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__acc__iff,axiom, % 197.15/197.35 ! [V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.35 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_acc__wfD,axiom, % 197.15/197.35 ! [V_x_2,V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf,axiom, % 197.15/197.35 ! [T_b] : % 197.15/197.35 ( class_Orderings_Owellorder(T_b) % 197.15/197.35 => 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)))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_reduction__pair__def,axiom, % 197.15/197.35 ! [V_P_2,T_b] : % 197.15/197.35 ( c_FunDef_Oreduction__pair(T_b,V_P_2) % 197.15/197.35 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)) % 197.15/197.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 197.15/197.35 ! [V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.35 <=> ~ ? [B_f] : % 197.15/197.35 ! [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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__if__measure,axiom, % 197.15/197.35 ! [T_b,V_g_2,V_f_2,V_P_2] : % 197.15/197.35 ( ! [B_x] : % 197.15/197.35 ( hBOOL(hAPP(V_P_2,B_x)) % 197.15/197.35 => 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))) ) % 197.15/197.35 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wfP__def,axiom, % 197.15/197.35 ! [V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_OwfP(T_b,V_r_2) % 197.15/197.35 <=> 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wfP__wf__eq,axiom, % 197.15/197.35 ! [V_r_2,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wfP__empty,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_accp__wfPD,axiom, % 197.15/197.35 ! [V_x_2,V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_OwfP(T_b,V_r_2) % 197.15/197.35 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wfP__accp__iff,axiom, % 197.15/197.35 ! [V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_OwfP(T_b,V_r_2) % 197.15/197.35 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wfP__subset,axiom, % 197.15/197.35 ! [V_p_2,V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_OwfP(T_b,V_r_2) % 197.15/197.35 => ( 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)) % 197.15/197.35 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__in__rel,axiom, % 197.15/197.35 ! [V_R_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_R_2) % 197.15/197.35 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_pred__nat__def,axiom, % 197.15/197.35 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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_reduction__pair__lemma,axiom, % 197.15/197.35 ! [V_S_2,V_R_2,V_P_2,T_b] : % 197.15/197.35 ( c_FunDef_Oreduction__pair(T_b,V_P_2) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) % 197.15/197.35 => ( c_Wellfounded_Owf(T_b,V_S_2) % 197.15/197.35 => 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)) ) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wfP__acyclicP,axiom, % 197.15/197.35 ! [V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_OwfP(T_b,V_r_2) % 197.15/197.35 => 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__same__fst,axiom, % 197.15/197.35 ! [T_b,V_R_2,T_c,V_P_2] : % 197.15/197.35 ( ! [B_x] : % 197.15/197.35 ( hBOOL(hAPP(V_P_2,B_x)) % 197.15/197.35 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) ) % 197.15/197.35 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup1E,axiom, % 197.15/197.35 ! [V_x_2,V_B_2,V_A_2,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 197.15/197.35 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup1CI,axiom, % 197.15/197.35 ! [T_b,V_A_2,V_x_2,V_B_2] : % 197.15/197.35 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 197.15/197.35 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 197.15/197.35 => 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_UnCI,axiom, % 197.15/197.35 ! [V_A_2,V_B_2,V_c_2,T_b] : % 197.15/197.35 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) % 197.15/197.35 => 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_UnE,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,V_c_2,T_b] : % 197.15/197.35 ( 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))) % 197.15/197.35 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.15/197.35 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Collect__disj__eq,axiom, % 197.15/197.35 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_rel__comp__distrib2,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_rel__comp__distrib,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__iff,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,V_c_2,T_b] : % 197.15/197.35 ( 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))) % 197.15/197.35 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.15/197.35 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_UnI1,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,V_c_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.15/197.35 => 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_UnI2,axiom, % 197.15/197.35 ! [V_A_2,V_B_2,V_c_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 197.15/197.35 => 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_image__Un,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(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(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_B_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Range__Un__eq,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup_Oidem,axiom, % 197.15/197.35 ! [V_a,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__idem,axiom, % 197.15/197.35 ! [V_x,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__fun__def,axiom, % 197.15/197.35 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 197.15/197.35 ( class_Lattices_Olattice(T_b) % 197.15/197.35 => 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup_Ocommute,axiom, % 197.15/197.35 ! [V_b,V_a,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => 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) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_inf__sup__aci_I5_J,axiom, % 197.15/197.35 ! [V_y,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Olattice(T_a) % 197.15/197.35 => 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) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__commute,axiom, % 197.15/197.35 ! [V_y,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => 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) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup_Oleft__idem,axiom, % 197.15/197.35 ! [V_b,V_a,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => 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) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_inf__sup__aci_I8_J,axiom, % 197.15/197.35 ! [V_y,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Olattice(T_a) % 197.15/197.35 => 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) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__left__idem,axiom, % 197.15/197.35 ! [V_y,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => 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) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup_Oleft__commute,axiom, % 197.15/197.35 ! [V_c,V_a,V_b,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_inf__sup__aci_I7_J,axiom, % 197.15/197.35 ! [V_z,V_y,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Olattice(T_a) % 197.15/197.35 => 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__left__commute,axiom, % 197.15/197.35 ! [V_z,V_y,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup_Oassoc,axiom, % 197.15/197.35 ! [V_c,V_b,V_a,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_inf__sup__aci_I6_J,axiom, % 197.15/197.35 ! [V_z,V_y,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Olattice(T_a) % 197.15/197.35 => 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__assoc,axiom, % 197.15/197.35 ! [V_z,V_y,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__apply,axiom, % 197.15/197.35 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 197.15/197.35 ( class_Lattices_Olattice(T_b) % 197.15/197.35 => 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__absorb,axiom, % 197.15/197.35 ! [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 ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__commute,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__left__absorb,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__left__commute,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__assoc,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_bex__Un,axiom, % 197.15/197.35 ! [V_P_2,V_B_2,V_A_2,T_b] : % 197.15/197.35 ( ? [B_x] : % 197.15/197.35 ( 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))) % 197.15/197.35 & hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.35 <=> ( ? [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.35 & hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.35 | ? [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 197.15/197.35 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_ball__Un,axiom, % 197.15/197.35 ! [V_P_2,V_B_2,V_A_2,T_b] : % 197.15/197.35 ( ! [B_x] : % 197.15/197.35 ( 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))) % 197.15/197.35 => hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.35 <=> ( ! [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.35 => hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.35 & ! [B_x] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 197.15/197.35 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup1I1,axiom, % 197.15/197.35 ! [V_B_2,T_b,V_x_2,V_A_2] : % 197.15/197.35 ( hBOOL(hAPP(V_A_2,V_x_2)) % 197.15/197.35 => 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup1I2,axiom, % 197.15/197.35 ! [V_A_2,T_b,V_x_2,V_B_2] : % 197.15/197.35 ( hBOOL(hAPP(V_B_2,V_x_2)) % 197.15/197.35 => 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__max,axiom, % 197.15/197.35 ! [T_b] : % 197.15/197.35 ( ( class_Lattices_Osemilattice__sup(T_b) % 197.15/197.35 & class_Orderings_Olinorder(T_b) ) % 197.15/197.35 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Sup__fin_Oidem,axiom, % 197.15/197.35 ! [V_x,T_a] : % 197.15/197.35 ( class_Lattices_Olattice(T_a) % 197.15/197.35 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_refl__on__Un,axiom, % 197.15/197.35 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 197.15/197.35 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 197.15/197.35 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 197.15/197.35 => 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)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__mono,axiom, % 197.15/197.35 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 197.15/197.35 => 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))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__least,axiom, % 197.15/197.35 ! [V_B_2,V_C_2,V_A_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 197.15/197.35 => 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)) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__absorb2,axiom, % 197.15/197.35 ! [V_A_2,V_B_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.15/197.35 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__absorb1,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.35 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_subset__Un__eq,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.35 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__upper2,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__upper1,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_less__supI1,axiom, % 197.15/197.35 ! [V_b,V_a,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 197.15/197.35 => 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))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_less__supI2,axiom, % 197.15/197.35 ! [V_a,V_b,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 197.15/197.35 => 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))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_le__supE,axiom, % 197.15/197.35 ! [V_x,V_b,V_a,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => ( 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)) % 197.15/197.35 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 197.15/197.35 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__mono,axiom, % 197.15/197.35 ! [V_d,V_b,V_c,V_a,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 197.15/197.35 => 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))) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__least,axiom, % 197.15/197.35 ! [V_z,V_x,V_y,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 197.15/197.35 => 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)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_le__supI,axiom, % 197.15/197.35 ! [V_b,V_x,V_a,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 197.15/197.35 => 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)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__absorb1,axiom, % 197.15/197.35 ! [V_x,V_y,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 197.15/197.35 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__absorb2,axiom, % 197.15/197.35 ! [V_y,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.15/197.35 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_le__supI2,axiom, % 197.15/197.35 ! [V_a,V_b,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 197.15/197.35 => 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))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_le__supI1,axiom, % 197.15/197.35 ! [V_b,V_a,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 197.15/197.35 => 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))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_le__sup__iff,axiom, % 197.15/197.35 ! [V_z_2,V_y_2,V_x_2,T_b] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_b) % 197.15/197.35 => ( 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)) % 197.15/197.35 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 197.15/197.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_le__iff__sup,axiom, % 197.15/197.35 ! [V_y_2,V_x_2,T_b] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_b) % 197.15/197.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.15/197.35 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__ge2,axiom, % 197.15/197.35 ! [V_x,V_y,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_inf__sup__ord_I4_J,axiom, % 197.15/197.35 ! [V_x,V_y,T_a] : % 197.15/197.35 ( class_Lattices_Olattice(T_a) % 197.15/197.35 => 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__ge1,axiom, % 197.15/197.35 ! [V_y,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Osemilattice__sup(T_a) % 197.15/197.35 => 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_inf__sup__ord_I3_J,axiom, % 197.15/197.35 ! [V_y,V_x,T_a] : % 197.15/197.35 ( class_Lattices_Olattice(T_a) % 197.15/197.35 => 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_mono__Un,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 197.15/197.35 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2) % 197.15/197.35 => 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)))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__Pow__subset,axiom, % 197.15/197.35 ! [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)))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__Diff__cancel,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__Diff__cancel2,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__Diff,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__UNIV__right,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__UNIV__left,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__top__right,axiom, % 197.15/197.35 ! [V_x,T_a] : % 197.15/197.35 ( class_Lattices_Obounded__lattice__top(T_a) % 197.15/197.35 => 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) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__top__left,axiom, % 197.15/197.35 ! [V_x,T_a] : % 197.15/197.35 ( class_Lattices_Obounded__lattice__top(T_a) % 197.15/197.35 => 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) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Domain__Un__eq,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__Un__eq,axiom, % 197.15/197.35 ! [V_x_2,V_S_2,V_R_2,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 <=> 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_converse__Un,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__acyclic,axiom, % 197.15/197.35 ! [V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.35 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_sup__compl__top,axiom, % 197.15/197.35 ! [V_x,T_a] : % 197.15/197.35 ( class_Lattices_Oboolean__algebra(T_a) % 197.15/197.35 => 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) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_compl__sup__top,axiom, % 197.15/197.35 ! [V_x,T_a] : % 197.15/197.35 ( class_Lattices_Oboolean__algebra(T_a) % 197.15/197.35 => 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) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_acyclic__subset,axiom, % 197.15/197.35 ! [V_r_2,V_s_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Oacyclic(T_b,V_s_2) % 197.15/197.35 => ( 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)) % 197.15/197.35 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_acyclic__converse,axiom, % 197.15/197.35 ! [V_r_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 197.15/197.35 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_mono__sup,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 197.15/197.35 ( ( class_Lattices_Osemilattice__sup(T_c) % 197.15/197.35 & class_Lattices_Osemilattice__sup(T_b) ) % 197.15/197.35 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 197.15/197.35 => 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)))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Diff__subset__conv,axiom, % 197.15/197.35 ! [V_C_2,V_B_2,V_A_2,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 <=> 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))) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Diff__partition,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,T_b] : % 197.15/197.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.35 => 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 ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Compl__partition2,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Compl__partition,axiom, % 197.15/197.35 ! [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)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Compl__Diff__eq,axiom, % 197.15/197.35 ! [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) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__union__merge,axiom, % 197.15/197.35 ! [V_S_2,V_R_2,T_b] : % 197.15/197.35 ( 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)) % 197.15/197.35 <=> 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)) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Un__def,axiom, % 197.15/197.35 ! [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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_Collect__imp__eq,axiom, % 197.15/197.35 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 197.15/197.35 % 197.15/197.35 fof(fact_pair__leq__def,axiom, % 197.15/197.35 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))) ). % 197.15/197.35 % 197.15/197.35 fof(fact_min__max_Omono__sup,axiom, % 197.15/197.35 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 197.15/197.35 ( ( class_Lattices_Osemilattice__sup(T_c) % 197.15/197.35 & class_Orderings_Olinorder(T_b) ) % 197.15/197.35 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 197.15/197.35 => 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)))) ) ) ). % 197.15/197.35 % 197.15/197.35 fof(fact_wf__union__compatible,axiom, % 197.15/197.35 ! [V_S_2,V_R_2,T_b] : % 197.15/197.35 ( c_Wellfounded_Owf(T_b,V_R_2) % 197.15/197.36 => ( c_Wellfounded_Owf(T_b,V_S_2) % 197.15/197.36 => ( 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)) % 197.15/197.36 => 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)) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_refl__reflcl,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_wf__pred__nat,axiom, % 197.15/197.36 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Eps__split,axiom, % 197.15/197.36 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Field__def,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_wf__no__infinite__down__chainE,axiom, % 197.15/197.36 ! [V_f_2,V_r_2,T_b] : % 197.15/197.36 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.36 => ~ ! [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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_less__eq,axiom, % 197.15/197.36 ! [V_na_2,V_m_2] : % 197.15/197.36 ( 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_na_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))) % 197.15/197.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_trancl_Or__into__trancl,axiom, % 197.15/197.36 ! [V_r_2,V_b_2,V_a_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 197.15/197.36 ! [V_B_2,V_A_2] : % 197.15/197.36 ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.36 => ( c_Nat__Transfer_Onat__set(V_B_2) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sup__nat__def,axiom, % 197.15/197.36 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 197.15/197.36 % 197.15/197.36 fof(fact_trancl__converse,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_trancl__domain,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_trancl__range,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_r__into__trancl_H,axiom, % 197.15/197.36 ! [V_r_2,V_p_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_someI,axiom, % 197.15/197.36 ! [T_b,V_x_2,V_P_2] : % 197.15/197.36 ( hBOOL(hAPP(V_P_2,V_x_2)) % 197.15/197.36 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_someI__ex,axiom, % 197.15/197.36 ! [T_b,V_P_2] : % 197.15/197.36 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 197.15/197.36 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_some__eq__ex,axiom, % 197.15/197.36 ! [T_b,V_P_2] : % 197.15/197.36 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) % 197.15/197.36 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_some__eq__trivial,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_some__sym__eq__trivial,axiom, % 197.15/197.36 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 197.15/197.36 % 197.15/197.36 fof(fact_tfl__some,axiom, % 197.15/197.36 ! [T_b,B_P] : % 197.15/197.36 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 197.15/197.36 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_wf__trancl,axiom, % 197.15/197.36 ! [V_r_2,T_b] : % 197.15/197.36 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.36 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_exE__some,axiom, % 197.15/197.36 ! [T_b,V_c_2,V_P_2] : % 197.15/197.36 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 197.15/197.36 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_P_2) % 197.15/197.36 => hBOOL(hAPP(V_P_2,V_c_2)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Field__converse,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_trancl__trans,axiom, % 197.15/197.36 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 197.15/197.36 ( 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))) % 197.15/197.36 => ( 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))) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 197.15/197.36 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 197.15/197.36 ( 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))) % 197.15/197.36 => ( 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)) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_trancl__into__trancl2,axiom, % 197.15/197.36 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ( 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))) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_r__r__into__trancl,axiom, % 197.15/197.36 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ( 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)) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_trancl__mono,axiom, % 197.15/197.36 ! [V_s_2,V_r_2,V_p_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 197.15/197.36 => ( 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)) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 197.15/197.36 ! [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(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(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_wf__converse__trancl,axiom, % 197.15/197.36 ! [V_r_2,T_b] : % 197.15/197.36 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 197.15/197.36 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_trancl__unfold,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 197.15/197.36 ! [V_B_2,V_A_2] : % 197.15/197.36 ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.36 => ( c_Nat__Transfer_Onat__set(V_B_2) % 197.15/197.36 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(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(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_A_2)),hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_B_2))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_less__than__def,axiom, % 197.15/197.36 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 197.15/197.36 % 197.15/197.36 fof(fact_trancl__converseI,axiom, % 197.15/197.36 ! [V_r_2,V_y_2,V_x_2,T_b] : % 197.15/197.36 ( 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)))) % 197.15/197.36 => 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)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_trancl__converseD,axiom, % 197.15/197.36 ! [V_r_2,V_y_2,V_x_2,T_b] : % 197.15/197.36 ( 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)))) % 197.15/197.36 => 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)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sup__Un__eq2,axiom, % 197.15/197.36 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 <=> 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_acyclic__def,axiom, % 197.15/197.36 ! [V_r_2,T_b] : % 197.15/197.36 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 197.15/197.36 <=> ! [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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_mono__Field,axiom, % 197.15/197.36 ! [V_s_2,V_r_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Field__Un,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_split__paired__Eps,axiom, % 197.15/197.36 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_P_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Eps__split__eq,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Plus__def,axiom, % 197.15/197.36 ! [V_B_2,V_A_2,T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(T_b,tc_sum(T_b,T_c)),c_Sum__Type_OInl(T_b,T_c)),V_A_2)),hAPP(hAPP(c_Set_Oimage(T_c,tc_sum(T_b,T_c)),c_Sum__Type_OInr(T_c,T_b)),V_B_2)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_trancl__power,axiom, % 197.15/197.36 ! [V_R_2,V_p_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 197.15/197.36 <=> ? [B_n] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 197.15/197.36 & 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_reflcl__set__eq,axiom, % 197.15/197.36 ! [V_y_2,V_x_2,V_r_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 <=> 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)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_LeastM__def,axiom, % 197.15/197.36 ! [V_P_2,V_m_2,T_b,T_c] : % 197.15/197.36 ( class_Orderings_Oord(T_c) % 197.15/197.36 => c_Hilbert__Choice_OLeastM(T_b,T_c,V_m_2,V_P_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),V_P_2)),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),V_P_2))),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_Orderings_Oord__class_Oless__eq(T_c)),V_m_2))),V_m_2))))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_coinduct3__mono__lemma,axiom, % 197.15/197.36 ! [V_B_2,V_X_2,V_f_2,T_c,T_b] : % 197.15/197.36 ( class_Orderings_Oorder(T_b) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,tc_fun(T_c,tc_HOL_Obool),V_f_2) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_GreatestM__def,axiom, % 197.15/197.36 ! [V_P_2,V_m_2,T_b,T_c] : % 197.15/197.36 ( class_Orderings_Oord(T_c) % 197.15/197.36 => hAPP(c_Hilbert__Choice_OGreatestM(T_b,T_c,V_m_2),V_P_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),V_P_2)),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),V_P_2))),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_b),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_Orderings_Oord__class_Oless__eq(T_c)),V_m_2))),V_m_2))))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_hoare__derivs_OBody,axiom, % 197.15/197.36 ! [V_Procs_2,V_Q_2,V_P_2,V_G_2,T_b] : % 197.15/197.36 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_G_2),hAPP(hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2)) % 197.15/197.36 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sup2E,axiom, % 197.15/197.36 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 197.15/197.36 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sup2CI,axiom, % 197.15/197.36 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] : % 197.15/197.36 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 197.15/197.36 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sup2I1,axiom, % 197.15/197.36 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sup2I2,axiom, % 197.15/197.36 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_cut,axiom, % 197.15/197.36 ! [V_G_2,V_ts_2,V_G_H_2,T_b] : % 197.15/197.36 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2) % 197.15/197.36 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_H_2) % 197.15/197.36 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_weaken,axiom, % 197.15/197.36 ! [V_ts_2,V_ts_H_2,V_G_2,T_b] : % 197.15/197.36 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_H_2) % 197.15/197.36 => ( 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)) % 197.15/197.36 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_asm,axiom, % 197.15/197.36 ! [V_G_2,V_ts_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_G_2)) % 197.15/197.36 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_LeastM__nat__lemma,axiom, % 197.15/197.36 ! [V_m_2,T_b,V_k_2,V_P_2] : % 197.15/197.36 ( hBOOL(hAPP(V_P_2,V_k_2)) % 197.15/197.36 => ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OLeastM(T_b,tc_Nat_Onat,V_m_2,V_P_2))) % 197.15/197.36 & ! [B_y] : % 197.15/197.36 ( hBOOL(hAPP(V_P_2,B_y)) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_b,tc_Nat_Onat,V_m_2,V_P_2))),hAPP(V_m_2,B_y))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_LeastM__nat__le,axiom, % 197.15/197.36 ! [T_b,V_m_2,V_x_2,V_P_2] : % 197.15/197.36 ( hBOOL(hAPP(V_P_2,V_x_2)) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_b,tc_Nat_Onat,V_m_2,V_P_2))),hAPP(V_m_2,V_x_2))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Greatest__def,axiom, % 197.15/197.36 ! [T_b] : % 197.15/197.36 ( class_Orderings_Oord(T_b) % 197.15/197.36 => c_Hilbert__Choice_OGreatest(T_b) = c_Hilbert__Choice_OGreatestM(T_b,T_b,c_COMBI(T_b)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Scons__def,axiom, % 197.15/197.36 ! [V_N_2,V_M_2,T_c,T_b] : hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_2),V_N_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(tc_Datatype_Onode(T_b,T_c),tc_Datatype_Onode(T_b,T_c)),hAPP(c_Datatype_OPush__Node(T_c,T_b),hAPP(c_Sum__Type_OInr(tc_Nat_Onat,T_c),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_M_2)),hAPP(hAPP(c_Set_Oimage(tc_Datatype_Onode(T_b,T_c),tc_Datatype_Onode(T_b,T_c)),hAPP(c_Datatype_OPush__Node(T_c,T_b),hAPP(c_Sum__Type_OInr(tc_Nat_Onat,T_c),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),V_N_2)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_acyclicI,axiom, % 197.15/197.36 ! [V_r_2,T_b] : % 197.15/197.36 ( ! [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))) % 197.15/197.36 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_coinduct__set,axiom, % 197.15/197.36 ! [V_X_2,V_a_2,V_f_2,T_b] : % 197.15/197.36 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 197.15/197.36 => ( 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))))) % 197.15/197.36 => 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))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_LeastM__natI,axiom, % 197.15/197.36 ! [V_m_2,T_b,V_k_2,V_P_2] : % 197.15/197.36 ( hBOOL(hAPP(V_P_2,V_k_2)) % 197.15/197.36 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OLeastM(T_b,tc_Nat_Onat,V_m_2,V_P_2))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_gfp__upperbound,axiom, % 197.15/197.36 ! [V_f_2,V_X_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,V_X_2))) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Scons__inject__lemma2,axiom, % 197.15/197.36 ! [V_N_H_2,V_M_H_2,V_N_2,V_M_2,T_c,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_2),V_N_2)),hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_H_2),V_N_H_2))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),V_N_2),V_N_H_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Scons__inject__lemma1,axiom, % 197.15/197.36 ! [V_N_H_2,V_M_H_2,V_N_2,V_M_2,T_c,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_2),V_N_2)),hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_H_2),V_N_H_2))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),V_M_2),V_M_H_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Scons__mono,axiom, % 197.15/197.36 ! [V_N_H_2,V_N_2,V_M_H_2,V_M_2,T_c,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),V_M_2),V_M_H_2)) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),V_N_2),V_N_H_2)) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_2),V_N_2)),hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_H_2),V_N_H_2))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Scons__inject,axiom, % 197.15/197.36 ! [V_N_H_2,V_M_H_2,V_N_2,V_M_2,T_c,T_b] : % 197.15/197.36 ( hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_2),V_N_2) = hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_H_2),V_N_H_2) % 197.15/197.36 => ~ ( V_M_2 = V_M_H_2 % 197.15/197.36 => V_N_2 != V_N_H_2 ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Scons__inject2,axiom, % 197.15/197.36 ! [V_N_H_2,V_M_H_2,V_N_2,V_M_2,T_c,T_b] : % 197.15/197.36 ( hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_2),V_N_2) = hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_H_2),V_N_H_2) % 197.15/197.36 => V_N_2 = V_N_H_2 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Scons__inject1,axiom, % 197.15/197.36 ! [V_N_H_2,V_M_H_2,V_N_2,V_M_2,T_c,T_b] : % 197.15/197.36 ( hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_2),V_N_2) = hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_H_2),V_N_H_2) % 197.15/197.36 => V_M_2 = V_M_H_2 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Scons__Scons__eq,axiom, % 197.15/197.36 ! [V_N_H_2,V_M_H_2,V_N_2,V_M_2,T_c,T_b] : % 197.15/197.36 ( hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_2),V_N_2) = hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_H_2),V_N_H_2) % 197.15/197.36 <=> ( V_M_2 = V_M_H_2 % 197.15/197.36 & V_N_2 = V_N_H_2 ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_def__gfp__unfold,axiom, % 197.15/197.36 ! [V_f_2,V_A_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 197.15/197.36 => V_A_2 = hAPP(V_f_2,V_A_2) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_gfp__unfold,axiom, % 197.15/197.36 ! [V_f_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_weak__coinduct,axiom, % 197.15/197.36 ! [V_f_2,V_X_2,V_a_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 197.15/197.36 => ( 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))) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_gfp__lemma3,axiom, % 197.15/197.36 ! [V_f_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_gfp__lemma2,axiom, % 197.15/197.36 ! [V_f_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 197.15/197.36 => 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)))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_weak__coinduct__image,axiom, % 197.15/197.36 ! [V_f_2,V_g_2,T_c,V_X_2,V_a_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_g_2),V_X_2)),hAPP(V_f_2,hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_g_2),V_X_2)))) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_gfp__fun__UnI2,axiom, % 197.15/197.36 ! [V_X_2,V_a_2,V_f_2,T_b] : % 197.15/197.36 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 197.15/197.36 => ( 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))) % 197.15/197.36 => 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))))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_def__coinduct,axiom, % 197.15/197.36 ! [V_X_2,V_f_2,V_A_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 197.15/197.36 => ( 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)))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),V_A_2)) ) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_coinduct__lemma,axiom, % 197.15/197.36 ! [V_f_2,V_X_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( 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))))) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 197.15/197.36 => 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))))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_coinduct,axiom, % 197.15/197.36 ! [V_X_2,V_f_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 197.15/197.36 => ( 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))))) % 197.15/197.36 => 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))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_def__coinduct__set,axiom, % 197.15/197.36 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] : % 197.15/197.36 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 197.15/197.36 => ( 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)))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Split__def,axiom, % 197.15/197.36 ! [V_M_2,V_c_2,T_b,T_d,T_c] : c_Datatype_OSplit(T_c,T_d,T_b,V_c_2,V_M_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool)),c_HOL_OEx(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBS(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool)),c_COMBS(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool)),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool,tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool)),hAPP(c_fequal,V_M_2))),c_Datatype_OScons(T_c,T_d)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),T_b)),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),T_b),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),T_b)),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool))),T_b),c_COMBB(tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),T_b),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),T_b),tc_fun(tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(tc_Datatype_Onode(T_c,T_d),tc_HOL_Obool))),c_fequal))),V_c_2))))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_coinduct3,axiom, % 197.15/197.36 ! [V_X_2,V_a_2,V_f_2,T_b] : % 197.15/197.36 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 197.15/197.36 => ( 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)))))) % 197.15/197.36 => 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))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_def__coinduct3,axiom, % 197.15/197.36 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] : % 197.15/197.36 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 197.15/197.36 => ( 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))))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_def__Collect__coinduct,axiom, % 197.15/197.36 ! [V_X_2,V_a_2,V_P_2,T_b,V_A_2] : % 197.15/197.36 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_P_2)) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_P_2)) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 197.15/197.36 => ( ! [B_z] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_z),V_X_2)) % 197.15/197.36 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2)),B_z)) ) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lfp__const,axiom, % 197.15/197.36 ! [V_ta_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,hAPP(c_COMBK(T_b,T_b),V_ta_2)) = V_ta_2 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lfp__lowerbound,axiom, % 197.15/197.36 ! [V_A_2,V_f_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_A_2)),V_A_2)) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lfp__unfold,axiom, % 197.15/197.36 ! [V_f_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_def__lfp__unfold,axiom, % 197.15/197.36 ! [V_f_2,V_h_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( V_h_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 197.15/197.36 => V_h_2 = hAPP(V_f_2,V_h_2) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lfp__lemma3,axiom, % 197.15/197.36 ! [V_f_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 197.15/197.36 => 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)))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lfp__lemma2,axiom, % 197.15/197.36 ! [V_f_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Split,axiom, % 197.15/197.36 ! [V_N_2,V_M_2,V_c_2,T_b,T_d,T_c] : c_Datatype_OSplit(T_c,T_d,T_b,V_c_2,hAPP(hAPP(c_Datatype_OScons(T_c,T_d),V_M_2),V_N_2)) = hAPP(hAPP(V_c_2,V_M_2),V_N_2) ). % 197.15/197.36 % 197.15/197.36 fof(fact_coinduct3__lemma,axiom, % 197.15/197.36 ! [V_f_2,V_X_2,T_b] : % 197.15/197.36 ( 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)))))) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 197.15/197.36 => 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)))))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_wf__eq__minimal,axiom, % 197.15/197.36 ! [V_r_2,T_b] : % 197.15/197.36 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.36 <=> ! [B_Q] : % 197.15/197.36 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 197.15/197.36 => ? [B_x] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 197.15/197.36 & ! [B_y] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_converseE,axiom, % 197.15/197.36 ! [V_r_2,V_yx_2,T_c,T_b] : % 197.15/197.36 ( 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))) % 197.15/197.36 => ~ ! [B_x,B_y] : % 197.15/197.36 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x) % 197.15/197.36 => ~ 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Image__Collect__split,axiom, % 197.15/197.36 ! [V_A_2,V_P_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2)))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Image__Id,axiom, % 197.15/197.36 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ). % 197.15/197.36 % 197.15/197.36 fof(fact_Image__Un,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Image__mono,axiom, % 197.15/197.36 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Un__Image,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Image__iff,axiom, % 197.15/197.36 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 197.15/197.36 <=> ? [B_x] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 197.15/197.36 & 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_rev__ImageI,axiom, % 197.15/197.36 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.36 => ( 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)) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Image__subset__eq,axiom, % 197.15/197.36 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 <=> 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))))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_ImageE,axiom, % 197.15/197.36 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 197.15/197.36 => ~ ! [B_x] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__sublist,axiom, % 197.15/197.36 ! [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)))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_acyclicP__converse,axiom, % 197.15/197.36 ! [V_r_2,T_b] : % 197.15/197.36 ( 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)))) % 197.15/197.36 <=> 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_neq__if__length__neq,axiom, % 197.15/197.36 ! [V_ys,V_xs,T_a] : % 197.15/197.36 ( 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) % 197.15/197.36 => V_xs != V_ys ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_conversep__eq,axiom, % 197.15/197.36 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ). % 197.15/197.36 % 197.15/197.36 fof(fact_conversep__conversep,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_conversep__iff,axiom, % 197.15/197.36 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 197.15/197.36 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_conversep_Oequations,axiom, % 197.15/197.36 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2)) % 197.15/197.36 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_conversep_Ointros,axiom, % 197.15/197.36 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_conversepD,axiom, % 197.15/197.36 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 197.15/197.36 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_conversep__noteq,axiom, % 197.15/197.36 ! [V_y_2,V_x_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 <=> V_x_2 != V_y_2 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_converse__join,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_converse__pred__comp,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_conversep__converse__eq,axiom, % 197.15/197.36 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 <=> 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_wf__lenlex,axiom, % 197.15/197.36 ! [V_r_2,T_b] : % 197.15/197.36 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.36 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sublist__append,axiom, % 197.15/197.36 ! [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)))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__sublists,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__eq__appendI,axiom, % 197.15/197.36 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 197.15/197.36 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 197.15/197.36 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 197.15/197.36 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__same__eq,axiom, % 197.15/197.36 ! [V_zs_2,V_xs_2,V_ys_2,T_b] : % 197.15/197.36 ( 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) % 197.15/197.36 <=> V_ys_2 = V_zs_2 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_same__append__eq,axiom, % 197.15/197.36 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( 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) % 197.15/197.36 <=> V_ys_2 = V_zs_2 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__eq__append__conv2,axiom, % 197.15/197.36 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( 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) % 197.15/197.36 <=> ? [B_us] : % 197.15/197.36 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us) % 197.15/197.36 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 ) % 197.15/197.36 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2 % 197.15/197.36 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__assoc,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__append,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_enum__the__def,axiom, % 197.15/197.36 ! [V_P_2,T_b] : c_Enum_Oenum__the(T_b,V_P_2) = c_HOL_OThe(T_b,V_P_2) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lenlex__def,axiom, % 197.15/197.36 ! [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)))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_wf__lex,axiom, % 197.15/197.36 ! [V_r_2,T_b] : % 197.15/197.36 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.36 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lenlex__conv,axiom, % 197.15/197.36 ! [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)))))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_wf__lexn,axiom, % 197.15/197.36 ! [V_na_2,V_r_2,T_b] : % 197.15/197.36 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.36 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__n__lists,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_order__fun_I2_J,axiom, % 197.15/197.36 ! [V_g_2,V_f_2,T_b,T_c] : % 197.15/197.36 ( ( class_Orderings_Oorder(T_c) % 197.15/197.36 & class_Enum_Oenum(T_b) ) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 197.15/197.36 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 197.15/197.36 & 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)))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_enum__ex__prod__def,axiom, % 197.15/197.36 ! [V_P_2,T_b,T_c] : % 197.15/197.36 ( ( class_Enum_Oenum(T_c) % 197.15/197.36 & class_Enum_Oenum(T_b) ) % 197.15/197.36 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_P_2)) % 197.15/197.36 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_exists__code,axiom, % 197.15/197.36 ! [V_P_2,T_b] : % 197.15/197.36 ( class_Enum_Oenum(T_b) % 197.15/197.36 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 197.15/197.36 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_enum__ex,axiom, % 197.15/197.36 ! [V_P_2,T_b] : % 197.15/197.36 ( class_Enum_Oenum(T_b) % 197.15/197.36 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) % 197.15/197.36 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lexn__length,axiom, % 197.15/197.36 ! [V_na_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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_na_2))) % 197.15/197.36 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_na_2 % 197.15/197.36 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_enum__ex__sum__def,axiom, % 197.15/197.36 ! [V_P_2,T_c,T_b] : % 197.15/197.36 ( ( class_Enum_Oenum(T_b) % 197.15/197.36 & class_Enum_Oenum(T_c) ) % 197.15/197.36 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_sum(T_b,T_c)),V_P_2)) % 197.15/197.36 <=> ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_sum(T_b,T_c),tc_HOL_Obool,T_b),V_P_2),c_Sum__Type_OInl(T_b,T_c)))) % 197.15/197.36 | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_c),hAPP(hAPP(c_COMBB(tc_sum(T_b,T_c),tc_HOL_Obool,T_c),V_P_2),c_Sum__Type_OInr(T_c,T_b)))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lexord__lex,axiom, % 197.15/197.36 ! [V_r_2,V_y_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 & 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) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Cons__in__lex,axiom, % 197.15/197.36 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 <=> ( ( 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)) % 197.15/197.36 & 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) ) % 197.15/197.36 | ( V_x_2 = V_y_2 % 197.15/197.36 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_rotate1__length01,axiom, % 197.15/197.36 ! [V_xs,T_a] : % 197.15/197.36 ( 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))) % 197.15/197.36 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Cons__eq__appendI,axiom, % 197.15/197.36 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 197.15/197.36 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 197.15/197.36 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 197.15/197.36 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__Cons,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_not__Cons__self,axiom, % 197.15/197.36 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 197.15/197.36 % 197.15/197.36 fof(fact_not__Cons__self2,axiom, % 197.15/197.36 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 197.15/197.36 % 197.15/197.36 fof(fact_list_Oinject,axiom, % 197.15/197.36 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] : % 197.15/197.36 ( 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) % 197.15/197.36 <=> ( V_a_2 = V_a_H_2 % 197.15/197.36 & V_list_2 = V_list_H_2 ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__rotate1,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_impossible__Cons,axiom, % 197.15/197.36 ! [V_x,V_ys,V_xs,T_a] : % 197.15/197.36 ( 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))) % 197.15/197.36 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lexord__cons__cons,axiom, % 197.15/197.36 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 <=> ( 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)) % 197.15/197.36 | ( V_a_2 = V_b_2 % 197.15/197.36 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lexord__append__left__rightI,axiom, % 197.15/197.36 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list_Osize_I4_J,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lexord__append__leftI,axiom, % 197.15/197.36 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lexn_Osimps_I2_J,axiom, % 197.15/197.36 ! [V_na_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_na_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(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_na_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_na_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_na_2)))))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__Cons__def,axiom, % 197.15/197.36 ! [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)))))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_pick_Osimps,axiom, % 197.15/197.36 ! [V_xs,V_x,T_a,V_i] : % 197.15/197.36 ( ( 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))) % 197.15/197.36 => 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) ) % 197.15/197.36 & ( ~ 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))) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf1E,axiom, % 197.15/197.36 ! [V_x_2,V_B_2,V_A_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 197.15/197.36 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf1I,axiom, % 197.15/197.36 ! [T_b,V_B_2,V_x_2,V_A_2] : % 197.15/197.36 ( hBOOL(hAPP(V_A_2,V_x_2)) % 197.15/197.36 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_IntE,axiom, % 197.15/197.36 ! [V_B_2,V_A_2,V_c_2,T_b] : % 197.15/197.36 ( 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))) % 197.15/197.36 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.15/197.36 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_IntI,axiom, % 197.15/197.36 ! [V_B_2,V_A_2,V_c_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Domain__Int__subset,axiom, % 197.15/197.36 ! [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)))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__sup__ord_I1_J,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Olattice(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__le1,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__sup__ord_I2_J,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Olattice(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__le2,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_le__iff__inf,axiom, % 197.15/197.36 ! [V_y_2,V_x_2,T_b] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_b) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.15/197.36 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_le__inf__iff,axiom, % 197.15/197.36 ! [V_z_2,V_y_2,V_x_2,T_b] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_b) % 197.15/197.36 => ( 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))) % 197.15/197.36 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.15/197.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_le__infI1,axiom, % 197.15/197.36 ! [V_b,V_x,V_a,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_le__infI2,axiom, % 197.15/197.36 ! [V_a,V_x,V_b,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__absorb1,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.15/197.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__absorb2,axiom, % 197.15/197.36 ! [V_x,V_y,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 197.15/197.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_le__infI,axiom, % 197.15/197.36 ! [V_b,V_a,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 197.15/197.36 => 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))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__greatest,axiom, % 197.15/197.36 ! [V_z,V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 197.15/197.36 => 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))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__mono,axiom, % 197.15/197.36 ! [V_d,V_b,V_c,V_a,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 197.15/197.36 => 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))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_le__infE,axiom, % 197.15/197.36 ! [V_b,V_a,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => ( 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))) % 197.15/197.36 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 197.15/197.36 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__lower1,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__lower2,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__absorb2,axiom, % 197.15/197.36 ! [V_B_2,V_A_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__absorb1,axiom, % 197.15/197.36 ! [V_A_2,V_B_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.15/197.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__greatest,axiom, % 197.15/197.36 ! [V_B_2,V_A_2,V_C_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__mono,axiom, % 197.15/197.36 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Range__Int__subset,axiom, % 197.15/197.36 ! [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)))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_converse__Int,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__top__left,axiom, % 197.15/197.36 ! [V_x,T_a] : % 197.15/197.36 ( class_Lattices_Obounded__lattice__top(T_a) % 197.15/197.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__top__right,axiom, % 197.15/197.36 ! [V_x,T_a] : % 197.15/197.36 ( class_Lattices_Obounded__lattice__top(T_a) % 197.15/197.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__eq__top__iff,axiom, % 197.15/197.36 ! [V_y_2,V_x_2,T_b] : % 197.15/197.36 ( class_Lattices_Obounded__lattice__top(T_b) % 197.15/197.36 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b) % 197.15/197.36 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b) % 197.15/197.36 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__UNIV__left,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__UNIV__right,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_Diff__Int2,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Diff__Int__distrib2,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__Diff,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Diff__Int__distrib,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Pow__Int__eq,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_less__infI2,axiom, % 197.15/197.36 ! [V_a,V_x,V_b,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_less__infI1,axiom, % 197.15/197.36 ! [V_b,V_x,V_a,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_refl__on__Int,axiom, % 197.15/197.36 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 197.15/197.36 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 197.15/197.36 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Inf__fin_Oidem,axiom, % 197.15/197.36 ! [V_x,T_a] : % 197.15/197.36 ( class_Lattices_Olattice(T_a) % 197.15/197.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__min,axiom, % 197.15/197.36 ! [T_b] : % 197.15/197.36 ( ( class_Lattices_Osemilattice__inf(T_b) % 197.15/197.36 & class_Orderings_Olinorder(T_b) ) % 197.15/197.36 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf1D2,axiom, % 197.15/197.36 ! [V_x_2,V_B_2,V_A_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf1D1,axiom, % 197.15/197.36 ! [V_x_2,V_B_2,V_A_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__assoc,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__left__commute,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__left__absorb,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__commute,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__absorb,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__apply,axiom, % 197.15/197.36 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 197.15/197.36 ( class_Lattices_Olattice(T_b) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__assoc,axiom, % 197.15/197.36 ! [V_z,V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__sup__aci_I2_J,axiom, % 197.15/197.36 ! [V_z,V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Olattice(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf_Oassoc,axiom, % 197.15/197.36 ! [V_c,V_b,V_a,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__left__commute,axiom, % 197.15/197.36 ! [V_z,V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__sup__aci_I3_J,axiom, % 197.15/197.36 ! [V_z,V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Olattice(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf_Oleft__commute,axiom, % 197.15/197.36 ! [V_c,V_a,V_b,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__left__idem,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__sup__aci_I4_J,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Olattice(T_a) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf_Oleft__idem,axiom, % 197.15/197.36 ! [V_b,V_a,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__commute,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__sup__aci_I1_J,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Olattice(T_a) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf_Ocommute,axiom, % 197.15/197.36 ! [V_b,V_a,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__fun__def,axiom, % 197.15/197.36 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 197.15/197.36 ( class_Lattices_Olattice(T_b) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__idem,axiom, % 197.15/197.36 ! [V_x,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf_Oidem,axiom, % 197.15/197.36 ! [V_a,T_a] : % 197.15/197.36 ( class_Lattices_Osemilattice__inf(T_a) % 197.15/197.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Un__Int__crazy,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Un__Int__distrib2,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__Un__distrib2,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Un__Int__distrib,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__Un__distrib,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sup__inf__distrib2,axiom, % 197.15/197.36 ! [V_x,V_z,V_y,T_a] : % 197.15/197.36 ( class_Lattices_Odistrib__lattice(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__sup__distrib2,axiom, % 197.15/197.36 ! [V_x,V_z,V_y,T_a] : % 197.15/197.36 ( class_Lattices_Odistrib__lattice(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sup__inf__distrib1,axiom, % 197.15/197.36 ! [V_z,V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Odistrib__lattice(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__sup__distrib1,axiom, % 197.15/197.36 ! [V_z,V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Odistrib__lattice(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sup__inf__absorb,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Olattice(T_a) % 197.15/197.36 => 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 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__sup__absorb,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Olattice(T_a) % 197.15/197.36 => 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 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_wf__Int1,axiom, % 197.15/197.36 ! [V_r_H_2,V_r_2,T_b] : % 197.15/197.36 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_wf__Int2,axiom, % 197.15/197.36 ! [V_r_H_2,V_r_2,T_b] : % 197.15/197.36 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Collect__conj__eq,axiom, % 197.15/197.36 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_IntD2,axiom, % 197.15/197.36 ! [V_B_2,V_A_2,V_c_2,T_b] : % 197.15/197.36 ( 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))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_IntD1,axiom, % 197.15/197.36 ! [V_B_2,V_A_2,V_c_2,T_b] : % 197.15/197.36 ( 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))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__iff,axiom, % 197.15/197.36 ! [V_B_2,V_A_2,V_c_2,T_b] : % 197.15/197.36 ( 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))) % 197.15/197.36 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.15/197.36 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__Int__eq,axiom, % 197.15/197.36 ! [V_x_2,V_S_2,V_R_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 <=> 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_distrib__inf__le,axiom, % 197.15/197.36 ! [V_z,V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Olattice(T_a) % 197.15/197.36 => 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)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_distrib__sup__le,axiom, % 197.15/197.36 ! [V_z,V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Olattice(T_a) % 197.15/197.36 => 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)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_diff__eq,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Oboolean__algebra(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_compl__sup,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Oboolean__algebra(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_compl__inf,axiom, % 197.15/197.36 ! [V_y,V_x,T_a] : % 197.15/197.36 ( class_Lattices_Oboolean__algebra(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_mono__inf,axiom, % 197.15/197.36 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 197.15/197.36 ( ( class_Lattices_Osemilattice__inf(T_c) % 197.15/197.36 & class_Lattices_Osemilattice__inf(T_b) ) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 197.15/197.36 => 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)))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_image__Int__subset,axiom, % 197.15/197.36 ! [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_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(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_B_2)))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Un__Int__assoc__eq,axiom, % 197.15/197.36 ! [V_C_2,V_B_2,V_A_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Diff__Int,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Diff__Un,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Un__Diff__Int,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_Image__Int__subset,axiom, % 197.15/197.36 ! [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)))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Compl__Int,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Compl__Un,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Diff__eq,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Diff__Compl,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_mono__Int,axiom, % 197.15/197.36 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 197.15/197.36 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2) % 197.15/197.36 => 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)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__def,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Int__Collect,axiom, % 197.15/197.36 ! [V_P_2,V_A_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2)))) % 197.15/197.36 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.36 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Image__Id__on,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_min__max_Omono__inf,axiom, % 197.15/197.36 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 197.15/197.36 ( ( class_Lattices_Osemilattice__inf(T_c) % 197.15/197.36 & class_Orderings_Olinorder(T_b) ) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 197.15/197.36 => 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)))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lfp__induct,axiom, % 197.15/197.36 ! [V_P_2,V_f_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_P_2))),V_P_2)) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_P_2)) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_def__lfp__induct,axiom, % 197.15/197.36 ! [V_P_2,V_f_2,V_A_2,T_b] : % 197.15/197.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.15/197.36 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_A_2),V_P_2))),V_P_2)) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_A_2),V_P_2)) ) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_trancl__Int__subset,axiom, % 197.15/197.36 ! [V_s_2,V_r_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ( 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)) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_if__image__distrib,axiom, % 197.15/197.36 ! [V_S_2,V_g_2,V_f_2,V_P_2,T_b,T_c] : hAPP(hAPP(c_Set_Oimage(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_P_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_P_2)))),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_P_2))))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_select__weight__cons__zero,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sublist__Cons,axiom, % 197.15/197.36 ! [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)))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lexord__append__leftD,axiom, % 197.15/197.36 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 => ( ! [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)) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_n__lists__Nil,axiom, % 197.15/197.36 ! [T_a,V_n] : % 197.15/197.36 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => 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))) ) % 197.15/197.36 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_n__lists_Osimps_I1_J,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sublists_Osimps_I1_J,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list_Osimps_I2_J,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list_Osimps_I3_J,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_converse__meet,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 197.15/197.36 ! [V_B_2,V_A_2] : % 197.15/197.36 ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.36 => ( c_Nat__Transfer_Onat__set(V_B_2) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__nat__def,axiom, % 197.15/197.36 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 197.15/197.36 % 197.15/197.36 fof(fact_eq__Nil__appendI,axiom, % 197.15/197.36 ! [T_a,V_ys,V_xs] : % 197.15/197.36 ( V_xs = V_ys % 197.15/197.36 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__self__conv2,axiom, % 197.15/197.36 ! [V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2 % 197.15/197.36 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__self__conv,axiom, % 197.15/197.36 ! [V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2 % 197.15/197.36 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__is__Nil__conv,axiom, % 197.15/197.36 ! [V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b) % 197.15/197.36 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 197.15/197.36 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_self__append__conv2,axiom, % 197.15/197.36 ! [V_xs_2,T_b,V_ys_2] : % 197.15/197.36 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 197.15/197.36 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_self__append__conv,axiom, % 197.15/197.36 ! [V_ys_2,T_b,V_xs_2] : % 197.15/197.36 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 197.15/197.36 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__Nil2,axiom, % 197.15/197.36 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 197.15/197.36 % 197.15/197.36 fof(fact_Nil__is__append__conv,axiom, % 197.15/197.36 ! [V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 197.15/197.36 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 197.15/197.36 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__Nil,axiom, % 197.15/197.36 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 197.15/197.36 % 197.15/197.36 fof(fact_sublist__nil,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_rotate1__is__Nil__conv,axiom, % 197.15/197.36 ! [V_xs_2,T_b] : % 197.15/197.36 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 197.15/197.36 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list_Osize_I3_J,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__0__conv,axiom, % 197.15/197.36 ! [V_xs_2,T_b] : % 197.15/197.36 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 197.15/197.36 ! [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(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(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append1__eq__conv,axiom, % 197.15/197.36 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 197.15/197.36 ( 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))) % 197.15/197.36 <=> ( V_xs_2 = V_ys_2 % 197.15/197.36 & V_x_2 = V_y_2 ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Cons__eq__append__conv,axiom, % 197.15/197.36 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] : % 197.15/197.36 ( 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) % 197.15/197.36 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 197.15/197.36 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 ) % 197.15/197.36 | ? [B_ys_H] : % 197.15/197.36 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2 % 197.15/197.36 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__eq__Cons__conv,axiom, % 197.15/197.36 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] : % 197.15/197.36 ( 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) % 197.15/197.36 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 197.15/197.36 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) % 197.15/197.36 | ? [B_ys_H] : % 197.15/197.36 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) % 197.15/197.36 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 197.15/197.36 ! [V_B_2,V_A_2] : % 197.15/197.36 ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.36 => ( c_Nat__Transfer_Onat__set(V_B_2) % 197.15/197.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(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(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_A_2)),hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_B_2))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__greater__0__conv,axiom, % 197.15/197.36 ! [V_xs_2,T_b] : % 197.15/197.36 ( 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))) % 197.15/197.36 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf__Int__eq2,axiom, % 197.15/197.36 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 <=> 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_rotate__simps,axiom, % 197.15/197.36 ! [V_xs,V_x,T_b,T_a] : % 197.15/197.36 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 197.15/197.36 & 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lexord__Nil__right,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Nil2__notin__lex,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Nil__notin__lex,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sublist__singleton,axiom, % 197.15/197.36 ! [V_x_2,T_b,V_A_2] : % 197.15/197.36 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 197.15/197.36 => 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)) ) % 197.15/197.36 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 197.15/197.36 => 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) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_rotate1__def,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_snoc__listrel1__snoc__iff,axiom, % 197.15/197.36 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 & V_x_2 = V_y_2 ) % 197.15/197.36 | ( V_xs_2 = V_ys_2 % 197.15/197.36 & 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)) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_anamorph_Osimps,axiom, % 197.15/197.36 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 197.15/197.36 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 197.15/197.36 => 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) ) % 197.15/197.36 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 197.15/197.36 => 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))))),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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf2E,axiom, % 197.15/197.36 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 197.15/197.36 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf2I,axiom, % 197.15/197.36 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Cons__acc__listrel1I,axiom, % 197.15/197.36 ! [V_xs_2,V_r_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 197.15/197.36 => ( 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)))) % 197.15/197.36 => 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)))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf2D2,axiom, % 197.15/197.36 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_inf2D1,axiom, % 197.15/197.36 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel1__converse,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel1__mono,axiom, % 197.15/197.36 ! [V_s_2,V_r_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel1I2,axiom, % 197.15/197.36 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel1__eq__len,axiom, % 197.15/197.36 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_not__Nil__listrel1,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_not__listrel1__Nil,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__listrel1I,axiom, % 197.15/197.36 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 & V_us_2 = V_vs_2 ) % 197.15/197.36 | ( V_xs_2 = V_ys_2 % 197.15/197.36 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_in__listrel1__converse,axiom, % 197.15/197.36 ! [V_r_2,V_y_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 197.15/197.36 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list_Osimps_I5_J,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list_Osimps_I4_J,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_Cons__listrel1__Cons,axiom, % 197.15/197.36 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 <=> ( ( 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)) % 197.15/197.36 & V_xs_2 = V_ys_2 ) % 197.15/197.36 | ( V_x_2 = V_y_2 % 197.15/197.36 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel1I1,axiom, % 197.15/197.36 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel1I,axiom, % 197.15/197.36 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ( 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)) % 197.15/197.36 => ( 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)) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel1E,axiom, % 197.15/197.36 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 => ~ ! [B_x,B_y] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ! [B_us,B_vs] : % 197.15/197.36 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs)) % 197.15/197.36 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_def__lfp__induct__set,axiom, % 197.15/197.36 ! [V_P_2,V_a_2,V_f_2,T_b,V_A_2] : % 197.15/197.36 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.36 => ( ! [B_x] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2))))) % 197.15/197.36 => hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.36 => hBOOL(hAPP(V_P_2,V_a_2)) ) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lfp__induct__set,axiom, % 197.15/197.36 ! [V_P_2,V_f_2,V_a_2,T_b] : % 197.15/197.36 ( 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))) % 197.15/197.36 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 197.15/197.36 => ( ! [B_x] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)),hAPP(c_Set_OCollect(T_b),V_P_2))))) % 197.15/197.36 => hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.36 => hBOOL(hAPP(V_P_2,V_a_2)) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lfp__induct2,axiom, % 197.15/197.36 ! [V_P_2,V_f_2,V_b_2,V_a_2,T_c,T_b] : % 197.15/197.36 ( 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))) % 197.15/197.36 => ( 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) % 197.15/197.36 => ( ! [B_a,B_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)))))) % 197.15/197.36 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) % 197.15/197.36 => hBOOL(hAPP(hAPP(V_P_2,V_a_2),V_b_2)) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel1__subset__listrel,axiom, % 197.15/197.36 ! [V_r_H_2,V_r_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list_Osize_I2_J,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel__Nil1,axiom, % 197.15/197.36 ! [V_r_2,V_xs_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel__Nil2,axiom, % 197.15/197.36 ! [V_r_2,V_xs_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel__mono,axiom, % 197.15/197.36 ! [V_s_2,V_r_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list_Osize_I1_J,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel__eq__len,axiom, % 197.15/197.36 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel_ONil,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel_OCons,axiom, % 197.15/197.36 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrelp__listrel__eq,axiom, % 197.15/197.36 ! [V_xa_2,V_x_2,V_r_2,T_b] : % 197.15/197.36 ( 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) % 197.15/197.36 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel__Cons1,axiom, % 197.15/197.36 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 => ~ ! [B_y,B_ys] : % 197.15/197.36 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys) % 197.15/197.36 => ( 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)) % 197.15/197.36 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel__Cons2,axiom, % 197.15/197.36 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 => ~ ! [B_x,B_xs] : % 197.15/197.36 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 197.15/197.36 => ( 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)) % 197.15/197.36 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrelp_Oequations_I2_J,axiom, % 197.15/197.36 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 197.15/197.36 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrelp_OCons,axiom, % 197.15/197.36 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 197.15/197.36 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrelp_Oequations_I1_J,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrelp_ONil,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lists__accI,axiom, % 197.15/197.36 ! [V_r_2,V_xs_2,T_b] : % 197.15/197.36 ( 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)))) % 197.15/197.36 => 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)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lists__accD,axiom, % 197.15/197.36 ! [V_r_2,V_xs_2,T_b] : % 197.15/197.36 ( 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)))) % 197.15/197.36 => 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)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lexord__append__rightI,axiom, % 197.15/197.36 ! [V_r_2,V_x_2,T_b,V_y_2] : % 197.15/197.36 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lists_ONil,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lists__mono,axiom, % 197.15/197.36 ! [V_B_2,V_A_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lists__UNIV,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__in__lists__conv,axiom, % 197.15/197.36 ! [V_A_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( 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))) % 197.15/197.36 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 197.15/197.36 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_equiv__listrel,axiom, % 197.15/197.36 ! [V_r_2,V_A_2,T_b] : % 197.15/197.36 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel__refl__on,axiom, % 197.15/197.36 ! [V_r_2,V_A_2,T_b] : % 197.15/197.36 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Cons__in__lists__iff,axiom, % 197.15/197.36 ! [V_A_2,V_xs_2,V_x_2,T_b] : % 197.15/197.36 ( 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))) % 197.15/197.36 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.36 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lexord__Nil__left,axiom, % 197.15/197.36 ! [V_r_2,V_y_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel__iff__nth,axiom, % 197.15/197.36 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 <=> ( 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) % 197.15/197.36 & ! [B_n] : % 197.15/197.36 ( 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))) % 197.15/197.36 => 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)) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lexord__linear,axiom, % 197.15/197.36 ! [V_y_2,V_x_2,V_r_2,T_b] : % 197.15/197.36 ( ! [B_a,B_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 | B_a = B_b % 197.15/197.36 | 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)) ) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 | V_x_2 = V_y_2 % 197.15/197.36 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__Cons__0,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__Cons__Suc,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__eq__iff__nth__eq,axiom, % 197.15/197.36 ! [T_b,V_ys_2,V_xs_2] : % 197.15/197.36 ( V_xs_2 = V_ys_2 % 197.15/197.36 <=> ( 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) % 197.15/197.36 & ! [B_i] : % 197.15/197.36 ( 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))) % 197.15/197.36 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth_Osimps,axiom, % 197.15/197.36 ! [V_na_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_na_2) = hAPP(hAPP(hAPP(c_Nat_Onat_Onat__case(T_b),V_x_2),hAPP(c_List_Onth(T_b),V_xs_2)),V_na_2) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__append__length,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__append__length__plus,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__append,axiom, % 197.15/197.36 ! [V_ys,V_xs,T_a,V_n] : % 197.15/197.36 ( ( 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))) % 197.15/197.36 => 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) ) % 197.15/197.36 & ( ~ 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))) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__Cons_H,axiom, % 197.15/197.36 ! [V_xs,V_x,T_a,V_n] : % 197.15/197.36 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 197.15/197.36 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__Cons__number__of,axiom, % 197.15/197.36 ! [V_xs,V_x,T_a,V_v] : % 197.15/197.36 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => 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 ) % 197.15/197.36 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_select__def,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lexord__take__index__conv,axiom, % 197.15/197.36 ! [V_r_2,V_y_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 <=> ( ( 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))) % 197.15/197.36 & 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 ) % 197.15/197.36 | ? [B_i] : % 197.15/197.36 ( 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)))) % 197.15/197.36 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2) % 197.15/197.36 & 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)) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_pick__same,axiom, % 197.15/197.36 ! [V_xs_2,T_b,V_l_2] : % 197.15/197.36 ( 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))) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__map,axiom, % 197.15/197.36 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_na_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_na_2),V_xs_2)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map__ident,axiom, % 197.15/197.36 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__take,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_List_Omap_Oid,axiom, % 197.15/197.36 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_List_Omap_Oidentity,axiom, % 197.15/197.36 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map__map,axiom, % 197.15/197.36 ! [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(hAPP(c_Fun_Ocomp(T_c,T_b,T_d),V_f_2),V_g_2)),V_xs_2) ). % 197.15/197.36 % 197.15/197.36 fof(fact_List_Omap_Ocompositionality,axiom, % 197.15/197.36 ! [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(hAPP(c_Fun_Ocomp(T_c,T_b,T_d),V_f_2),V_g_2)),V_list_2) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map__comp__map,axiom, % 197.15/197.36 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(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(hAPP(c_Fun_Ocomp(T_d,T_c,T_b),V_f_2),V_g_2)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_List_Omap_Ocomp,axiom, % 197.15/197.36 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(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(hAPP(c_Fun_Ocomp(T_d,T_c,T_b),V_f_2),V_g_2)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map__append,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__map,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map__eq__imp__length__eq,axiom, % 197.15/197.36 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] : % 197.15/197.36 ( 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) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map_Osimps_I2_J,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map__is__Nil__conv,axiom, % 197.15/197.36 ! [V_xs_2,V_f_2,T_b,T_c] : % 197.15/197.36 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b) % 197.15/197.36 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__Nil,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map_Osimps_I1_J,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Nil__is__map__conv,axiom, % 197.15/197.36 ! [V_xs_2,V_f_2,T_c,T_b] : % 197.15/197.36 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) % 197.15/197.36 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__Suc__Cons,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__eq__Nil,axiom, % 197.15/197.36 ! [V_xs_2,V_na_2,T_b] : % 197.15/197.36 ( hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 197.15/197.36 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__0,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__all,axiom, % 197.15/197.36 ! [V_n,V_xs,T_a] : % 197.15/197.36 ( 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)) % 197.15/197.36 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__take,axiom, % 197.15/197.36 ! [V_xs,T_a,V_n,V_i] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__take,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__Cons,axiom, % 197.15/197.36 ! [V_xs_2,V_x_2,V_na_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_na_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(hAPP(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_na_2) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__map,axiom, % 197.15/197.36 ! [V_f_2,T_c,V_xs_2,T_b,V_na_2] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 197.15/197.36 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_na_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__append,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__1__Cons,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__size__map,axiom, % 197.15/197.36 ! [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(hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c),V_f_2),V_g_2),V_xs_2) ). % 197.15/197.36 % 197.15/197.36 fof(fact_select__weigth__select,axiom, % 197.15/197.36 ! [T_b,V_xs_2] : % 197.15/197.36 ( V_xs_2 != c_List_Olist_ONil(T_b) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__Cons_H,axiom, % 197.15/197.36 ! [V_xs,V_x,T_a,V_n] : % 197.15/197.36 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => 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) ) % 197.15/197.36 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__Cons__number__of,axiom, % 197.15/197.36 ! [V_xs,V_x,T_a,V_v] : % 197.15/197.36 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => 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) ) % 197.15/197.36 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__Suc__conv__app__nth,axiom, % 197.15/197.36 ! [V_xs,T_a,V_i] : % 197.15/197.36 ( 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))) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_product_Osimps_I2_J,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_id__take__nth__drop,axiom, % 197.15/197.36 ! [V_xs,T_a,V_i] : % 197.15/197.36 ( 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))) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lexord__irreflexive,axiom, % 197.15/197.36 ! [V_y_2,V_r_2,T_b] : % 197.15/197.36 ( ! [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)) % 197.15/197.36 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__map,axiom, % 197.15/197.36 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_na_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_na_2),V_xs_2)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__Nil,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__Cons,axiom, % 197.15/197.36 ! [V_xs_2,V_x_2,V_na_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_na_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(hAPP(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_na_2) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__drop,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__0,axiom, % 197.15/197.36 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__Suc__Cons,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__drop,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__via__drop,axiom, % 197.15/197.36 ! [V_ys,V_y,V_xs,V_n,T_a] : % 197.15/197.36 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 197.15/197.36 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__1__Cons,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__drop,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__take,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__take__drop__id,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_sublists_Osimps_I2_J,axiom, % 197.15/197.36 ! [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))))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_product_Osimps_I1_J,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__all,axiom, % 197.15/197.36 ! [V_n,V_xs,T_a] : % 197.15/197.36 ( 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)) % 197.15/197.36 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__eq__Nil,axiom, % 197.15/197.36 ! [V_xs_2,V_na_2,T_b] : % 197.15/197.36 ( hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 197.15/197.36 <=> 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_na_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__append,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__eq__conv__conj,axiom, % 197.15/197.36 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2 % 197.15/197.36 <=> ( 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) % 197.15/197.36 & 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) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__Cons_H,axiom, % 197.15/197.36 ! [V_xs,V_x,T_a,V_n] : % 197.15/197.36 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => 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) ) % 197.15/197.36 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => 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) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__drop,axiom, % 197.15/197.36 ! [V_xs,T_a,V_i,V_n] : % 197.15/197.36 ( 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))) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_append__eq__append__conv__if,axiom, % 197.15/197.36 ! [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] : % 197.15/197.36 ( 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) % 197.15/197.36 <=> ( ( 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))) % 197.15/197.36 => ( 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) % 197.15/197.36 & 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) ) ) % 197.15/197.36 & ( ~ 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))) % 197.15/197.36 => ( 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 % 197.15/197.36 & 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 ) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__drop_H,axiom, % 197.15/197.36 ! [V_xs,T_a,V_i] : % 197.15/197.36 ( 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))) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__Cons__number__of,axiom, % 197.15/197.36 ! [V_xs,V_x,T_a,V_v] : % 197.15/197.36 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => 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) ) % 197.15/197.36 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 => 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) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__add,axiom, % 197.15/197.36 ! [V_xs,T_a,V_j,V_i] : % 197.15/197.36 ( 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))) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_select__weight__def,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__hd__drop,axiom, % 197.15/197.36 ! [V_xs,T_a,V_n] : % 197.15/197.36 ( 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))) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_upd__conv__take__nth__drop,axiom, % 197.15/197.36 ! [V_a,V_xs,T_a,V_i] : % 197.15/197.36 ( 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))) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map__update,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update__id,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__list__update__neq,axiom, % 197.15/197.36 ! [V_x,V_xs,T_a,V_j,V_i] : % 197.15/197.36 ( V_i != V_j % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update__swap,axiom, % 197.15/197.36 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 197.15/197.36 ( V_i != V_i_H % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update__overwrite,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__list__update,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_hd_Osimps,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update__code_I1_J,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update_Osimps_I1_J,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update__nonempty,axiom, % 197.15/197.36 ! [V_x_2,V_k_2,V_xs_2,T_b] : % 197.15/197.36 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b) % 197.15/197.36 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update__code_I2_J,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update__code_I3_J,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update__beyond,axiom, % 197.15/197.36 ! [V_x,V_i,V_xs,T_a] : % 197.15/197.36 ( 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)) % 197.15/197.36 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listsum__simps_I1_J,axiom, % 197.15/197.36 ! [T_a] : % 197.15/197.36 ( class_Groups_Omonoid__add(T_a) % 197.15/197.36 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listsum__simps_I2_J,axiom, % 197.15/197.36 ! [V_xs,V_x,T_a] : % 197.15/197.36 ( class_Groups_Omonoid__add(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listsum__append,axiom, % 197.15/197.36 ! [V_ys,V_xs,T_a] : % 197.15/197.36 ( class_Groups_Omonoid__add(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listsum__0,axiom, % 197.15/197.36 ! [V_xs_2,T_c,T_b] : % 197.15/197.36 ( class_Groups_Omonoid__add(T_b) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listsum__addf,axiom, % 197.15/197.36 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 197.15/197.36 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listsum__const__mult,axiom, % 197.15/197.36 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] : % 197.15/197.36 ( class_Rings_Osemiring__0(T_b) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listsum__mult__const,axiom, % 197.15/197.36 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] : % 197.15/197.36 ( class_Rings_Osemiring__0(T_b) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listsum__subtractf,axiom, % 197.15/197.36 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 197.15/197.36 ( class_Groups_Oab__group__add(T_b) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_hd__map,axiom, % 197.15/197.36 ! [V_f_2,T_c,T_b,V_xs_2] : % 197.15/197.36 ( V_xs_2 != c_List_Olist_ONil(T_b) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_hd__append,axiom, % 197.15/197.36 ! [V_ys,T_a,V_xs] : % 197.15/197.36 ( ( V_xs = c_List_Olist_ONil(T_a) % 197.15/197.36 => 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) ) % 197.15/197.36 & ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.36 => 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) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_hd__append2,axiom, % 197.15/197.36 ! [V_ys,T_a,V_xs] : % 197.15/197.36 ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update__append1,axiom, % 197.15/197.36 ! [V_x,V_ys,V_xs,T_a,V_i] : % 197.15/197.36 ( 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))) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update__length,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__list__update,axiom, % 197.15/197.36 ! [V_x,V_j,V_xs,T_a,V_i] : % 197.15/197.36 ( 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))) % 197.15/197.36 => ( ( V_i = V_j % 197.15/197.36 => 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 ) % 197.15/197.36 & ( V_i != V_j % 197.15/197.36 => 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) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update__same__conv,axiom, % 197.15/197.36 ! [V_x_2,V_xs_2,T_b,V_i_2] : % 197.15/197.36 ( 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))) % 197.15/197.36 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 197.15/197.36 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__list__update__eq,axiom, % 197.15/197.36 ! [V_x,V_xs,T_a,V_i] : % 197.15/197.36 ( 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))) % 197.15/197.36 => 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 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update_Osimps_I2_J,axiom, % 197.15/197.36 ! [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) = hAPP(hAPP(hAPP(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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listsum__abs,axiom, % 197.15/197.36 ! [V_xs_2,T_b] : % 197.15/197.36 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 197.15/197.36 => 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)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_uminus__listsum__map,axiom, % 197.15/197.36 ! [V_xs_2,V_f_2,T_c,T_b] : % 197.15/197.36 ( class_Groups_Oab__group__add(T_b) % 197.15/197.36 => 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(hAPP(c_Fun_Ocomp(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_hd__conv__nth,axiom, % 197.15/197.36 ! [T_a,V_xs] : % 197.15/197.36 ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__update__append,axiom, % 197.15/197.36 ! [V_x,V_ys,V_xs,T_a,V_n] : % 197.15/197.36 ( ( 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))) % 197.15/197.36 => 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) ) % 197.15/197.36 & ( ~ 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))) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listsum__triv,axiom, % 197.15/197.36 ! [V_xs_2,V_r_2,T_c,T_b] : % 197.15/197.36 ( class_Rings_Osemiring__1(T_b) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_hd__drop__conv__nth,axiom, % 197.15/197.36 ! [V_n,T_a,V_xs] : % 197.15/197.36 ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.36 => ( 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))) % 197.15/197.36 => 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) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_select__weight__member,axiom, % 197.15/197.36 ! [V_s_2,V_xs_2,T_b] : % 197.15/197.36 ( 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)))) % 197.15/197.36 => 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)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_pick__member,axiom, % 197.15/197.36 ! [V_xs_2,T_b,V_i_2] : % 197.15/197.36 ( 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)))) % 197.15/197.36 => 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)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel1__iff__update,axiom, % 197.15/197.36 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 <=> ? [B_y,B_n] : % 197.15/197.36 ( 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)) % 197.15/197.36 & 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))) % 197.15/197.36 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map__eq__conv,axiom, % 197.15/197.36 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] : % 197.15/197.36 ( 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) % 197.15/197.36 <=> ! [B_x] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2))) % 197.15/197.36 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 197.15/197.36 ! [V_ns_2] : % 197.15/197.36 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.36 <=> ! [B_x] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 197.15/197.36 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_sublists__powset,axiom, % 197.15/197.36 ! [V_xs_2,T_b] : hAPP(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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__rotate1,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__ConsD,axiom, % 197.15/197.36 ! [V_xs_2,V_x_2,V_y_2,T_b] : % 197.15/197.36 ( 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)))) % 197.15/197.36 => ( V_y_2 = V_x_2 % 197.15/197.36 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__subset__Cons,axiom, % 197.15/197.36 ! [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)))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__map,axiom, % 197.15/197.36 ! [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(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_in__set__takeD,axiom, % 197.15/197.36 ! [V_xs_2,V_na_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2)))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__append,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_in__set__dropD,axiom, % 197.15/197.36 ! [V_xs_2,V_na_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2)))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__take__subset,axiom, % 197.15/197.36 ! [V_xs_2,V_na_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_na_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__drop__subset,axiom, % 197.15/197.36 ! [V_xs_2,V_na_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_na_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_in__set__sublistD,axiom, % 197.15/197.36 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 197.15/197.36 ( 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)))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_notin__set__sublistI,axiom, % 197.15/197.36 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 197.15/197.36 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.36 => ~ 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)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__sublist__subset,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_elem__le__listsum__nat,axiom, % 197.15/197.36 ! [V_ns,V_k] : % 197.15/197.36 ( 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))) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__n__lists,axiom, % 197.15/197.36 ! [V_xs_2,V_na_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_na_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_na_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)))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_card__length,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_all__set__conv__all__nth,axiom, % 197.15/197.36 ! [V_P_2,V_xs_2,T_b] : % 197.15/197.36 ( ! [B_x] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.36 => hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.36 <=> ! [B_i] : % 197.15/197.36 ( 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))) % 197.15/197.36 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__update__subsetI,axiom, % 197.15/197.36 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] : % 197.15/197.36 ( 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)) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__take__subset__set__take,axiom, % 197.15/197.36 ! [V_xs_2,T_b,V_na_2,V_m_2] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.15/197.36 => 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_na_2),V_xs_2)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__drop__subset__set__drop,axiom, % 197.15/197.36 ! [V_xs_2,T_b,V_m_2,V_na_2] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) % 197.15/197.36 => 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_na_2),V_xs_2)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_hd__in__set,axiom, % 197.15/197.36 ! [T_b,V_xs_2] : % 197.15/197.36 ( V_xs_2 != c_List_Olist_ONil(T_b) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__size__estimation,axiom, % 197.15/197.36 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__size__estimation_H,axiom, % 197.15/197.36 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 197.15/197.36 => 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))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_in__lists__conv__set,axiom, % 197.15/197.36 ! [V_A_2,V_xs_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 197.15/197.36 <=> ! [B_x] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listsum__update__nat,axiom, % 197.15/197.36 ! [V_n,V_ns,V_k] : % 197.15/197.36 ( 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))) % 197.15/197.36 => 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)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__n__lists__elem,axiom, % 197.15/197.36 ! [V_xs_2,V_na_2,V_ys_2,T_b] : % 197.15/197.36 ( 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_na_2,V_xs_2)))) % 197.15/197.36 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__size__conv__listsum,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__pos__if__in__set,axiom, % 197.15/197.36 ! [V_xs_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_in__set__conv__nth,axiom, % 197.15/197.36 ! [V_xs_2,V_x_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.36 <=> ? [B_i] : % 197.15/197.36 ( 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))) % 197.15/197.36 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__mem,axiom, % 197.15/197.36 ! [V_xs_2,T_b,V_na_2] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__update__memI,axiom, % 197.15/197.36 ! [V_x_2,V_xs_2,T_b,V_na_2] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 197.15/197.36 => 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_na_2),V_x_2)))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_lists__eq__set,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__conv__nth,axiom, % 197.15/197.36 ! [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))))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_select,axiom, % 197.15/197.36 ! [V_s_2,T_b,V_xs_2] : % 197.15/197.36 ( V_xs_2 != c_List_Olist_ONil(T_b) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__sublist,axiom, % 197.15/197.36 ! [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))))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_listrel__iff__zip,axiom, % 197.15/197.36 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.36 <=> ( 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) % 197.15/197.36 & ! [B_x] : % 197.15/197.36 ( 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)))) % 197.15/197.36 => 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)) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__ex1__iff__raw,axiom, % 197.15/197.36 ! [V_xs_2,V_P_2,T_b] : % 197.15/197.36 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2) % 197.15/197.36 <=> ? [B_x] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.36 & hBOOL(hAPP(V_P_2,B_x)) % 197.15/197.36 & ! [B_y] : % 197.15/197.36 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.36 & hBOOL(hAPP(V_P_2,B_y)) ) % 197.15/197.36 => B_y = B_x ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_rotate1__hd__tl,axiom, % 197.15/197.36 ! [T_a,V_xs] : % 197.15/197.36 ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.36 => 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))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map__tl,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_tl__drop,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__tl,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__zip,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_tl_Osimps_I2_J,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__zip,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_tl_Osimps_I1_J,axiom, % 197.15/197.36 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip__update,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__zip,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip_Osimps_I1_J,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip__Nil,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip__same__conv__map,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__ex1__simps_I1_J,axiom, % 197.15/197.36 ! [V_P_2,T_b] : ~ c_List_Olist__ex1(T_b,V_P_2,c_List_Olist_ONil(T_b)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_tl__append2,axiom, % 197.15/197.36 ! [V_ys,T_a,V_xs] : % 197.15/197.36 ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.36 => 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) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_take__tl,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_drop__Suc,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map__fst__zip,axiom, % 197.15/197.36 ! [V_ys_2,T_c,V_xs_2,T_b] : % 197.15/197.36 ( 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) % 197.15/197.36 => 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 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map__snd__zip,axiom, % 197.15/197.36 ! [V_ys_2,T_c,V_xs_2,T_b] : % 197.15/197.36 ( 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) % 197.15/197.36 => 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 ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_update__zip,axiom, % 197.15/197.36 ! [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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip__map__fst__snd,axiom, % 197.15/197.36 ! [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 ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip__Cons__Cons,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 197.15/197.36 ! [V_A_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip__map2,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip__map1,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip__map__map,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip__append,axiom, % 197.15/197.36 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 197.15/197.36 ( 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) % 197.15/197.36 => ( 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) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_tl__append,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__eq__iff__zip__eq,axiom, % 197.15/197.36 ! [T_b,V_ys_2,V_xs_2] : % 197.15/197.36 ( V_xs_2 = V_ys_2 % 197.15/197.36 <=> ( 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) % 197.15/197.36 & ! [B_x] : % 197.15/197.36 ( 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)))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_in__set__zipE,axiom, % 197.15/197.36 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 197.15/197.36 ( 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)))) % 197.15/197.36 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.36 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__zip__rightD,axiom, % 197.15/197.36 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 197.15/197.36 ( 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)))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_set__zip__leftD,axiom, % 197.15/197.36 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 197.15/197.36 ( 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)))) % 197.15/197.36 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip__same,axiom, % 197.15/197.36 ! [V_xs_2,V_b_2,V_a_2,T_b] : % 197.15/197.36 ( 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)))) % 197.15/197.36 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.36 & V_a_2 = V_b_2 ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_card__UNIV__bool,axiom, % 197.15/197.36 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))) ). % 197.15/197.36 % 197.15/197.36 fof(fact_nth__zip,axiom, % 197.15/197.36 ! [V_ys,T_b,V_xs,T_a,V_i] : % 197.15/197.36 ( 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))) % 197.15/197.36 => ( 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))) % 197.15/197.36 => 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)) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_length__tl,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip__eq__conv,axiom, % 197.15/197.36 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] : % 197.15/197.36 ( 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) % 197.15/197.36 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2 % 197.15/197.36 <=> ( 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 % 197.15/197.36 & 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 ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_tl__take,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map__zip__map2,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_map__zip__map,axiom, % 197.15/197.36 ! [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)) ). % 197.15/197.36 % 197.15/197.36 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 197.15/197.36 ! [V_A_2] : % 197.15/197.36 ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.36 => hAPP(c_Finite__Set_Ocard(tc_Int_Oint),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_A_2)) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_list__ex1__iff,axiom, % 197.15/197.36 ! [V_xs_2,V_P_2,T_b] : % 197.15/197.36 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2) % 197.15/197.36 <=> ? [B_x] : % 197.15/197.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.36 & hBOOL(hAPP(V_P_2,B_x)) % 197.15/197.36 & ! [B_y] : % 197.15/197.36 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.36 & hBOOL(hAPP(V_P_2,B_y)) ) % 197.15/197.36 => B_y = B_x ) ) ) ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip__Cons1,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.36 % 197.15/197.36 fof(fact_zip__Cons,axiom, % 197.15/197.36 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_zip__append1,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_zip__append2,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_set__zip,axiom, % 197.15/197.37 ! [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)))))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_take__Suc,axiom, % 197.15/197.37 ! [V_n,T_a,V_xs] : % 197.15/197.37 ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_hd__rotate__conv__nth,axiom, % 197.15/197.37 ! [V_n,T_a,V_xs] : % 197.15/197.37 ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_rotate__drop__take,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_last__list__update,axiom, % 197.15/197.37 ! [V_x,V_k,T_a,V_xs] : % 197.15/197.37 ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.37 => ( ( 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)) % 197.15/197.37 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 197.15/197.37 & ( 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)) % 197.15/197.37 => 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) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_rotate__map,axiom, % 197.15/197.37 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(c_List_Orotate(T_b,V_na_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_na_2),V_xs_2)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_set__rotate,axiom, % 197.15/197.37 ! [V_xs_2,V_na_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 197.15/197.37 % 197.15/197.37 fof(fact_length__rotate,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_rotate__is__Nil__conv,axiom, % 197.15/197.37 ! [V_xs_2,V_na_2,T_b] : % 197.15/197.37 ( hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 197.15/197.37 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_rotate__rotate,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_rotate1__rotate__swap,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_rotate__def,axiom, % 197.15/197.37 ! [V_na_2,T_b] : c_List_Orotate(T_b,V_na_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_na_2),c_List_Orotate1(T_b)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_last_Osimps,axiom, % 197.15/197.37 ! [V_x,T_a,V_xs] : % 197.15/197.37 ( ( V_xs = c_List_Olist_ONil(T_a) % 197.15/197.37 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 197.15/197.37 & ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.37 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_last__ConsR,axiom, % 197.15/197.37 ! [V_x,T_a,V_xs] : % 197.15/197.37 ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.37 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_last__ConsL,axiom, % 197.15/197.37 ! [V_x,T_a,V_xs] : % 197.15/197.37 ( V_xs = c_List_Olist_ONil(T_a) % 197.15/197.37 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_last__map,axiom, % 197.15/197.37 ! [V_f_2,T_c,T_b,V_xs_2] : % 197.15/197.37 ( V_xs_2 != c_List_Olist_ONil(T_b) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_last__appendL,axiom, % 197.15/197.37 ! [V_xs,T_a,V_ys] : % 197.15/197.37 ( V_ys = c_List_Olist_ONil(T_a) % 197.15/197.37 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_last__appendR,axiom, % 197.15/197.37 ! [V_xs,T_a,V_ys] : % 197.15/197.37 ( V_ys != c_List_Olist_ONil(T_a) % 197.15/197.37 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_last__append,axiom, % 197.15/197.37 ! [V_xs,T_a,V_ys] : % 197.15/197.37 ( ( V_ys = c_List_Olist_ONil(T_a) % 197.15/197.37 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 197.15/197.37 & ( V_ys != c_List_Olist_ONil(T_a) % 197.15/197.37 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_rotate__conv__mod,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_rotate__Suc,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_rotate0,axiom, % 197.15/197.37 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_rotate__add,axiom, % 197.15/197.37 ! [V_na_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_na_2)) = hAPP(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_na_2)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_last__in__set,axiom, % 197.15/197.37 ! [T_b,V_as_2] : % 197.15/197.37 ( V_as_2 != c_List_Olist_ONil(T_b) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_last__snoc,axiom, % 197.15/197.37 ! [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 ). % 197.15/197.37 % 197.15/197.37 fof(fact_last__drop,axiom, % 197.15/197.37 ! [V_xs,T_a,V_n] : % 197.15/197.37 ( 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))) % 197.15/197.37 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_rotate__id,axiom, % 197.15/197.37 ! [V_xs,T_a,V_n] : % 197.15/197.37 ( 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) % 197.15/197.37 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_rotate__length01,axiom, % 197.15/197.37 ! [V_n,V_xs,T_a] : % 197.15/197.37 ( 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))) % 197.15/197.37 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_last__conv__nth,axiom, % 197.15/197.37 ! [T_a,V_xs] : % 197.15/197.37 ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__greaterThanLessThan__int,axiom, % 197.15/197.37 ! [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)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_listsum__mono,axiom, % 197.15/197.37 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] : % 197.15/197.37 ( ( class_Groups_Omonoid__add(T_c) % 197.15/197.37 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 197.15/197.37 => ( ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 197.15/197.37 => 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)))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_lists_Osimps,axiom, % 197.15/197.37 ! [V_A_2,V_a_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2))) % 197.15/197.37 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 197.15/197.37 | ? [B_a,B_l] : % 197.15/197.37 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l) % 197.15/197.37 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 197.15/197.37 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__uminus__greaterThanLessThan,axiom, % 197.15/197.37 ! [V_y_2,V_x_2,T_b] : % 197.15/197.37 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.37 => hAPP(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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Int__greaterThanLessThan,axiom, % 197.15/197.37 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_greaterThanLessThan__upto,axiom, % 197.15/197.37 ! [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)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__size__pointwise,axiom, % 197.15/197.37 ! [V_g_2,V_f_2,V_xs_2,T_b] : % 197.15/197.37 ( ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_butlast__take,axiom, % 197.15/197.37 ! [V_xs,T_a,V_n] : % 197.15/197.37 ( 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))) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_butlast_Osimps_I1_J,axiom, % 197.15/197.37 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upto__empty,axiom, % 197.15/197.37 ! [V_i,V_j] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 197.15/197.37 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_butlast__drop,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_drop__butlast,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_map__butlast,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_in__set__butlastD,axiom, % 197.15/197.37 ! [V_xs_2,V_x_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_butlast_Osimps_I2_J,axiom, % 197.15/197.37 ! [V_x,T_a,V_xs] : % 197.15/197.37 ( ( V_xs = c_List_Olist_ONil(T_a) % 197.15/197.37 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 197.15/197.37 & ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.37 => 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)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_butlast__append,axiom, % 197.15/197.37 ! [V_xs,T_a,V_ys] : % 197.15/197.37 ( ( V_ys = c_List_Olist_ONil(T_a) % 197.15/197.37 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 197.15/197.37 & ( V_ys != c_List_Olist_ONil(T_a) % 197.15/197.37 => 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)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_in__set__butlast__appendI,axiom, % 197.15/197.37 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 197.15/197.37 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 197.15/197.37 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) ) % 197.15/197.37 => 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))))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_butlast__snoc,axiom, % 197.15/197.37 ! [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 ). % 197.15/197.37 % 197.15/197.37 fof(fact_take__butlast,axiom, % 197.15/197.37 ! [V_xs,T_a,V_n] : % 197.15/197.37 ( 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))) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_length__butlast,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__greaterThanLessThan,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upto_Osimps,axiom, % 197.15/197.37 ! [V_j,V_i] : % 197.15/197.37 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 197.15/197.37 => 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)) ) % 197.15/197.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 197.15/197.37 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_butlast__conv__take,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_butlast__list__update,axiom, % 197.15/197.37 ! [V_x,V_xs,T_a,V_k] : % 197.15/197.37 ( ( 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)) % 197.15/197.37 => 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) ) % 197.15/197.37 & ( 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)) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_snoc__eq__iff__butlast,axiom, % 197.15/197.37 ! [V_ys_2,V_x_2,V_xs_2,T_b] : % 197.15/197.37 ( 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 % 197.15/197.37 <=> ( V_ys_2 != c_List_Olist_ONil(T_b) % 197.15/197.37 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2 % 197.15/197.37 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_append__butlast__last__id,axiom, % 197.15/197.37 ! [T_a,V_xs] : % 197.15/197.37 ( V_xs != c_List_Olist_ONil(T_a) % 197.15/197.37 => 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 ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upto__rec__number__of,axiom, % 197.15/197.37 ! [V_n,V_m] : % 197.15/197.37 ( ( 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))) % 197.15/197.37 => 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))) ) % 197.15/197.37 & ( ~ 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))) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upto_Opsimps,axiom, % 197.15/197.37 ! [V_j_2,V_i_2] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 197.15/197.37 => 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)) ) % 197.15/197.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 197.15/197.37 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_nat__list__def,axiom, % 197.15/197.37 ! [V_l_2] : % 197.15/197.37 ( c_List_Onat__list(V_l_2) % 197.15/197.37 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_nth__take__lemma,axiom, % 197.15/197.37 ! [V_ys,V_xs,T_a,V_k] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ( 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))) % 197.15/197.37 => ( ! [B_i] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 197.15/197.37 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 197.15/197.37 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upto_Opinduct,axiom, % 197.15/197.37 ! [V_P_2,V_a1_2,V_a0_2] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ( ! [B_i,B_j] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 197.15/197.37 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) ) % 197.15/197.37 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) % 197.15/197.37 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_listsum__map__remove1,axiom, % 197.15/197.37 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => 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)))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_partition__set,axiom, % 197.15/197.37 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] : % 197.15/197.37 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_remove1_Osimps_I2_J,axiom, % 197.15/197.37 ! [V_xs,T_a,V_y,V_x] : % 197.15/197.37 ( ( V_x = V_y % 197.15/197.37 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 197.15/197.37 & ( V_x != V_y % 197.15/197.37 => 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)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_remove1_Osimps_I1_J,axiom, % 197.15/197.37 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 197.15/197.37 % 197.15/197.37 fof(fact_remove1__commute,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_in__set__remove1,axiom, % 197.15/197.37 ! [V_xs_2,T_b,V_b_2,V_a_2] : % 197.15/197.37 ( V_a_2 != V_b_2 % 197.15/197.37 => ( 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)))) % 197.15/197.37 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_notin__set__remove1,axiom, % 197.15/197.37 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 197.15/197.37 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => ~ 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)))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_remove1__idem,axiom, % 197.15/197.37 ! [V_xs_2,V_x_2,T_b] : % 197.15/197.37 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_set__remove1__subset,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_remove1__append,axiom, % 197.15/197.37 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 197.15/197.37 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => 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) ) % 197.15/197.37 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => 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)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_partition__P,axiom, % 197.15/197.37 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] : % 197.15/197.37 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 197.15/197.37 => ( ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2))) % 197.15/197.37 => hBOOL(hAPP(V_P_2,B_x)) ) % 197.15/197.37 & ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2))) % 197.15/197.37 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_partition_Osimps_I1_J,axiom, % 197.15/197.37 ! [V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_partition_Osimps_I2_J,axiom, % 197.15/197.37 ! [V_xs_2,V_x_2,V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_P_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_P_2,V_xs_2)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_length__remove1,axiom, % 197.15/197.37 ! [V_xs_2,V_x_2,T_b] : % 197.15/197.37 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => 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)) ) % 197.15/197.37 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_lists__IntI,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,V_l_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2))) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2))) % 197.15/197.37 => 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)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_lists__Int__eq,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__def,axiom, % 197.15/197.37 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 197.15/197.37 <=> ( 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) % 197.15/197.37 & ! [B_x] : % 197.15/197.37 ( 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)))) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_listsp_ONil,axiom, % 197.15/197.37 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_in__listsp__conv__set,axiom, % 197.15/197.37 ! [V_xs_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 197.15/197.37 <=> ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__map1,axiom, % 197.15/197.37 ! [V_bs_2,V_as_2,V_f_2,T_d,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2) % 197.15/197.37 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_P_2),V_f_2),V_as_2,V_bs_2) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__map2,axiom, % 197.15/197.37 ! [V_bs_2,V_f_2,T_d,V_as_2,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2)) % 197.15/197.37 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_P_2)),V_f_2),V_as_2,V_bs_2) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__lengthD,axiom, % 197.15/197.37 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__takeI,axiom, % 197.15/197.37 ! [V_na_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 197.15/197.37 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_na_2),V_ys_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__dropI,axiom, % 197.15/197.37 ! [V_na_2,V_bs_2,V_as_2,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,V_bs_2) % 197.15/197.37 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_na_2),V_bs_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__eq,axiom, % 197.15/197.37 ! [T_b,V_ys_2,V_xs_2] : % 197.15/197.37 ( V_xs_2 = V_ys_2 % 197.15/197.37 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_listsp__conj__eq,axiom, % 197.15/197.37 ! [V_x_2,V_B_2,V_A_2,T_b] : % 197.15/197.37 ( 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)) % 197.15/197.37 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2)) % 197.15/197.37 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_listsp__inf__eq,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_listsp__infI,axiom, % 197.15/197.37 ! [V_B_2,V_l_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2)) % 197.15/197.37 => 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)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_append__in__listsp__conv,axiom, % 197.15/197.37 ! [V_ys_2,V_xs_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 197.15/197.37 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 197.15/197.37 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__appendI,axiom, % 197.15/197.37 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) % 197.15/197.37 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_c_2,V_d_2) % 197.15/197.37 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__Nil2,axiom, % 197.15/197.37 ! [V_xs_2,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,c_List_Olist_ONil(T_c)) % 197.15/197.37 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__Nil,axiom, % 197.15/197.37 ! [V_ys_2,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,c_List_Olist_ONil(T_b),V_ys_2) % 197.15/197.37 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_listsp_Oequations_I1_J,axiom, % 197.15/197.37 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_listsp_Oequations_I2_J,axiom, % 197.15/197.37 ! [V_a2_2,V_a1_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2))) % 197.15/197.37 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 197.15/197.37 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__Cons,axiom, % 197.15/197.37 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) % 197.15/197.37 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 197.15/197.37 & c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__append,axiom, % 197.15/197.37 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_c,V_xs_2,T_b] : % 197.15/197.37 ( 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) % 197.15/197.37 => ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2)) % 197.15/197.37 <=> ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 197.15/197.37 & c_List_Olist__all2(T_b,T_c,V_P_2,V_us_2,V_vs_2) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__nthD2,axiom, % 197.15/197.37 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 197.15/197.37 => ( 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))) % 197.15/197.37 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__nthD,axiom, % 197.15/197.37 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 197.15/197.37 => ( 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))) % 197.15/197.37 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__conv__all__nth,axiom, % 197.15/197.37 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 197.15/197.37 <=> ( 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) % 197.15/197.37 & ! [B_i] : % 197.15/197.37 ( 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))) % 197.15/197.37 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__update__cong2,axiom, % 197.15/197.37 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 197.15/197.37 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 197.15/197.37 => ( 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))) % 197.15/197.37 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2__update__cong,axiom, % 197.15/197.37 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_c,V_xs_2,T_b,V_i_2] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 197.15/197.37 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_listsp__mono,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_listsp__lists__eq,axiom, % 197.15/197.37 ! [V_x_2,V_A_2,T_b] : % 197.15/197.37 ( 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)) % 197.15/197.37 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_list__all2I,axiom, % 197.15/197.37 ! [V_P_2,V_b_2,V_a_2,T_c,T_b] : % 197.15/197.37 ( ! [B_x] : % 197.15/197.37 ( 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)))) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) % 197.15/197.37 => ( 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) % 197.15/197.37 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_all__nth__imp__all__set,axiom, % 197.15/197.37 ! [V_x_2,V_P_2,V_xs_2,T_b] : % 197.15/197.37 ( ! [B_i] : % 197.15/197.37 ( 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))) % 197.15/197.37 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_,axiom, % 197.15/197.37 ! [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)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_greaterThanAtMost__upto,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_List_Oinsert__def,axiom, % 197.15/197.37 ! [V_xs_2,V_x_2,T_b] : % 197.15/197.37 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) % 197.15/197.37 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_not__in__set__insert,axiom, % 197.15/197.37 ! [V_xs_2,V_x_2,T_b] : % 197.15/197.37 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I20_J,axiom, % 197.15/197.37 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 197.15/197.37 => 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) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_in__set__insert,axiom, % 197.15/197.37 ! [V_xs_2,V_x_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Int__greaterThanAtMost,axiom, % 197.15/197.37 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_insert__Nil,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__greaterThanAtMost__int,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I16_J,axiom, % 197.15/197.37 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 197.15/197.37 => 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) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I19_J,axiom, % 197.15/197.37 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 197.15/197.37 => 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) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_n__lists_Osimps_I2_J,axiom, % 197.15/197.37 ! [V_xs_2,V_na_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_na_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_na_2,V_xs_2))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_listset_Osimps_I2_J,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 197.15/197.37 ! [V_na_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2) = hAPP(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_na_2))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__add__atLeastAtMost,axiom, % 197.15/197.37 ! [V_j_2,V_i_2,V_k_2] : hAPP(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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__Suc__atLeastAtMost,axiom, % 197.15/197.37 ! [V_j_2,V_i_2] : hAPP(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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_all__nat__less,axiom, % 197.15/197.37 ! [V_P_2,V_na_2] : % 197.15/197.37 ( ! [B_m] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2)) % 197.15/197.37 => hBOOL(hAPP(V_P_2,B_m)) ) % 197.15/197.37 <=> ! [B_x] : % 197.15/197.37 ( 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_na_2))) % 197.15/197.37 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ex__nat__less,axiom, % 197.15/197.37 ! [V_P_2,V_na_2] : % 197.15/197.37 ( ? [B_m] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2)) % 197.15/197.37 & hBOOL(hAPP(V_P_2,B_m)) ) % 197.15/197.37 <=> ? [B_x] : % 197.15/197.37 ( 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_na_2))) % 197.15/197.37 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 197.15/197.37 ! [V_na_2,V_m_2] : % 197.15/197.37 ( c_Nat__Transfer_Ois__nat(V_m_2) % 197.15/197.37 => ( c_Nat__Transfer_Ois__nat(V_na_2) % 197.15/197.37 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_na_2) = hAPP(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_na_2))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 197.15/197.37 ! [V_y_2,V_x_2] : % 197.15/197.37 ( c_Nat__Transfer_Ois__nat(V_x_2) % 197.15/197.37 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastatMost__subset__iff,axiom, % 197.15/197.37 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.37 ( class_Orderings_Oorder(T_b) % 197.15/197.37 => ( 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))) % 197.15/197.37 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 197.15/197.37 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 197.15/197.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__uminus__atLeastAtMost,axiom, % 197.15/197.37 ! [V_y_2,V_x_2,T_b] : % 197.15/197.37 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.37 => hAPP(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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_set__upto,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastAtMost__upto,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_concat_Osimps_I1_J,axiom, % 197.15/197.37 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 197.15/197.37 % 197.15/197.37 fof(fact_concat_Osimps_I2_J,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Nil__eq__concat__conv,axiom, % 197.15/197.37 ! [V_xss_2,T_b] : % 197.15/197.37 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2) % 197.15/197.37 <=> ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 197.15/197.37 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_concat__eq__Nil__conv,axiom, % 197.15/197.37 ! [V_xss_2,T_b] : % 197.15/197.37 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b) % 197.15/197.37 <=> ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 197.15/197.37 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_map__concat,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__greaterThanAtMost,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 197.15/197.37 ! [V_y_2,V_x_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 197.15/197.37 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_length__concat,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__atLeastAtMost,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Int__atLeastAtMost,axiom, % 197.15/197.37 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastatMost__psubset__iff,axiom, % 197.15/197.37 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.37 ( class_Orderings_Oorder(T_b) % 197.15/197.37 => ( 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))) % 197.15/197.37 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 197.15/197.37 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 197.15/197.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) % 197.15/197.37 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2)) % 197.15/197.37 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) ) % 197.15/197.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I22_J,axiom, % 197.15/197.37 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 197.15/197.37 => 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) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_concat__append,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__atLeastAtMost__int,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_concat__eq__concat__iff,axiom, % 197.15/197.37 ! [V_ys_2,V_xs_2,T_b] : % 197.15/197.37 ( ! [B_x] : % 197.15/197.37 ( 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)))) % 197.15/197.37 => 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)) ) % 197.15/197.37 => ( 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) % 197.15/197.37 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 197.15/197.37 <=> V_xs_2 = V_ys_2 ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_concat__injective,axiom, % 197.15/197.37 ! [V_ys_2,V_xs_2,T_b] : % 197.15/197.37 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 197.15/197.37 => ( 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) % 197.15/197.37 => ( ! [B_x] : % 197.15/197.37 ( 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)))) % 197.15/197.37 => 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)) ) % 197.15/197.37 => V_xs_2 = V_ys_2 ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_concat__map__singleton,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transpose_Osimps_I3_J,axiom, % 197.15/197.37 ! [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))))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transpose_Opsimps_I3_J,axiom, % 197.15/197.37 ! [V_xss_2,V_xs_2,V_x_2,T_b] : % 197.15/197.37 ( 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))) % 197.15/197.37 => 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))))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transpose__aux__filter__tail,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_filter_Osimps_I2_J,axiom, % 197.15/197.37 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 197.15/197.37 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 197.15/197.37 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) % 197.15/197.37 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 197.15/197.37 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_filter__map,axiom, % 197.15/197.37 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c),V_P_2),V_f_2)),V_xs_2)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_filter__remove1,axiom, % 197.15/197.37 ! [V_xs_2,V_x_2,V_Q_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Q_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_remove1__filter__not,axiom, % 197.15/197.37 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 197.15/197.37 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 197.15/197.37 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_partition__filter2,axiom, % 197.15/197.37 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)),V_xs_2) ). % 197.15/197.37 % 197.15/197.37 fof(fact_partition__filter1,axiom, % 197.15/197.37 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ). % 197.15/197.37 % 197.15/197.37 fof(fact_filter__id__conv,axiom, % 197.15/197.37 ! [V_xs_2,V_P_2,T_b] : % 197.15/197.37 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = V_xs_2 % 197.15/197.37 <=> ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_filter__filter,axiom, % 197.15/197.37 ! [V_xs_2,V_Q_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Q_2)),V_P_2)),V_xs_2) ). % 197.15/197.37 % 197.15/197.37 fof(fact_filter__append,axiom, % 197.15/197.37 ! [V_ys_2,V_xs_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transpose_Osimps_I1_J,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_filter_Osimps_I1_J,axiom, % 197.15/197.37 ! [V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transpose_Opsimps_I1_J,axiom, % 197.15/197.37 ! [T_b] : % 197.15/197.37 ( 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)))) % 197.15/197.37 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_filter__is__subset,axiom, % 197.15/197.37 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_filter__empty__conv,axiom, % 197.15/197.37 ! [V_xs_2,V_P_2,T_b] : % 197.15/197.37 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = c_List_Olist_ONil(T_b) % 197.15/197.37 <=> ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_length__filter__le,axiom, % 197.15/197.37 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_length__filter__map,axiom, % 197.15/197.37 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c),V_P_2),V_f_2)),V_xs_2)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transpose_Opsimps_I2_J,axiom, % 197.15/197.37 ! [V_xss_2,T_b] : % 197.15/197.37 ( 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))) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_sum__length__filter__compl,axiom, % 197.15/197.37 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ). % 197.15/197.37 % 197.15/197.37 fof(fact_filter__concat,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_partition__filter__conv,axiom, % 197.15/197.37 ! [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(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_f_2)),V_xs_2)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transpose_Osimps_I2_J,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_nth__transpose,axiom, % 197.15/197.37 ! [V_xs_2,T_b,V_i_2] : % 197.15/197.37 ( 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)))) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transpose__map__map,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_set__filter,axiom, % 197.15/197.37 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_P_2)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_length__filter__less,axiom, % 197.15/197.37 ! [V_P_2,V_xs_2,V_x_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transpose__empty,axiom, % 197.15/197.37 ! [V_xs_2,T_b] : % 197.15/197.37 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b)) % 197.15/197.37 <=> ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 197.15/197.37 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_length__filter__conv__card,axiom, % 197.15/197.37 ! [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))))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transpose__aux__filter__head,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transpose__max__length,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transpose__aux__max,axiom, % 197.15/197.37 ! [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)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_bset_I8_J,axiom, % 197.15/197.37 ! [V_B_2,V_ta_2,V_D_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_ta_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),B_x)) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_foldr_Osimps_I1_J,axiom, % 197.15/197.37 ! [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 ). % 197.15/197.37 % 197.15/197.37 fof(fact_foldr__append,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_foldr_Osimps_I2_J,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_foldr__map,axiom, % 197.15/197.37 ! [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(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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_sublist__shift__lemma__Suc,axiom, % 197.15/197.37 ! [V_is_2,V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_select__weigth__drop__zero,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_pick__drop__zero,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_length__transpose,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_aset_I6_J,axiom, % 197.15/197.37 ! [V_A_2,V_ta_2,V_D_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ta_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_ta_2)) % 197.15/197.37 => 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_ta_2)) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_bset_I3_J,axiom, % 197.15/197.37 ! [V_B_2,V_ta_2,V_D_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_ta_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2)) % 197.15/197.37 => ( ! [B_x] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xa] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 197.15/197.37 => V_ta_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 197.15/197.37 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_ta_2),V_D_2) = V_ta_2 ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_aset_I3_J,axiom, % 197.15/197.37 ! [V_A_2,V_ta_2,V_D_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ta_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2)) % 197.15/197.37 => ( ! [B_x] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xa] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 197.15/197.37 => V_ta_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 197.15/197.37 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ta_2),V_D_2) = V_ta_2 ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_sublist__def,axiom, % 197.15/197.37 ! [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))))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_sublist__shift__lemma,axiom, % 197.15/197.37 ! [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))))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_aset_I4_J,axiom, % 197.15/197.37 ! [V_A_2,V_ta_2,V_D_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_A_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( B_x != V_ta_2 % 197.15/197.37 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_ta_2 ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upt__0,axiom, % 197.15/197.37 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upt__conv__Nil,axiom, % 197.15/197.37 ! [V_i,V_j] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 197.15/197.37 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_hd__upt,axiom, % 197.15/197.37 ! [V_j,V_i] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 197.15/197.37 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_drop__upt,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upt__rec,axiom, % 197.15/197.37 ! [V_j,V_i] : % 197.15/197.37 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 197.15/197.37 => 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)) ) % 197.15/197.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 197.15/197.37 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upt__conv__Cons,axiom, % 197.15/197.37 ! [V_j,V_i] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upt__eq__Nil__conv,axiom, % 197.15/197.37 ! [V_j_2,V_i_2] : % 197.15/197.37 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 197.15/197.37 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.37 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upt__Suc__append,axiom, % 197.15/197.37 ! [V_j,V_i] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upt__Suc,axiom, % 197.15/197.37 ! [V_j,V_i] : % 197.15/197.37 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.15/197.37 => 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))) ) % 197.15/197.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.15/197.37 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upt__add__eq__append,axiom, % 197.15/197.37 ! [V_k,V_j,V_i] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_take__upt,axiom, % 197.15/197.37 ! [V_n,V_m,V_i] : % 197.15/197.37 ( 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)) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_length__upt,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upt__rec__number__of,axiom, % 197.15/197.37 ! [V_n,V_m] : % 197.15/197.37 ( ( 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))) % 197.15/197.37 => 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))) ) % 197.15/197.37 & ( ~ 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))) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_upt__eq__Cons__conv,axiom, % 197.15/197.37 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 197.15/197.37 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 197.15/197.37 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 197.15/197.37 & V_i_2 = V_x_2 % 197.15/197.37 & 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 ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_last__upt,axiom, % 197.15/197.37 ! [V_j,V_i] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_map__Suc__upt,axiom, % 197.15/197.37 ! [V_na_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_na_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastAtMost__upt,axiom, % 197.15/197.37 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_na_2,hAPP(c_Nat_OSuc,V_m_2))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_nth__upt,axiom, % 197.15/197.37 ! [V_j,V_k,V_i] : % 197.15/197.37 ( 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)) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_greaterThanAtMost__upt,axiom, % 197.15/197.37 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_greaterThanLessThan__upt,axiom, % 197.15/197.37 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_na_2),V_m_2)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_map__nth,axiom, % 197.15/197.37 ! [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 ). % 197.15/197.37 % 197.15/197.37 fof(fact_nth__map__upt,axiom, % 197.15/197.37 ! [V_f_2,T_b,V_m_2,V_na_2,V_i_2] : % 197.15/197.37 ( 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_na_2),V_m_2))) % 197.15/197.37 => 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_na_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transpose__rectangle,axiom, % 197.15/197.37 ! [V_na_2,T_b,V_xs_2] : % 197.15/197.37 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 197.15/197.37 => V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 197.15/197.37 => ( ! [B_i] : % 197.15/197.37 ( 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))) % 197.15/197.37 => 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_na_2 ) % 197.15/197.37 => 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_na_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_aset_I5_J,axiom, % 197.15/197.37 ! [V_A_2,V_ta_2,V_D_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_A_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_ta_2)) % 197.15/197.37 => 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_ta_2)) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_bset_I7_J,axiom, % 197.15/197.37 ! [V_B_2,V_ta_2,V_D_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_B_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),B_x)) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_bset_I4_J,axiom, % 197.15/197.37 ! [V_B_2,V_ta_2,V_D_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_B_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( B_x != V_ta_2 % 197.15/197.37 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_ta_2 ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_bset_I6_J,axiom, % 197.15/197.37 ! [V_ta_2,V_B_2,V_D_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_ta_2)) % 197.15/197.37 => 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_ta_2)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_aset_I8_J,axiom, % 197.15/197.37 ! [V_ta_2,V_A_2,V_D_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),B_x)) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 197.15/197.37 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_periodic__finite__ex,axiom, % 197.15/197.37 ! [V_P_2,V_d_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 197.15/197.37 => ( ! [B_x,B_k] : % 197.15/197.37 ( hBOOL(hAPP(V_P_2,B_x)) % 197.15/197.37 <=> hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) ) % 197.15/197.37 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 197.15/197.37 <=> ? [B_x] : % 197.15/197.37 ( 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))) % 197.15/197.37 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_aset_I7_J,axiom, % 197.15/197.37 ! [V_ta_2,V_A_2,V_D_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),B_x)) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_return__list__def,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transfer__nat__int__list__return__embed,axiom, % 197.15/197.37 ! [V_l] : % 197.15/197.37 ( c_List_Onat__list(V_l) % 197.15/197.37 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_bset_I5_J,axiom, % 197.15/197.37 ! [V_ta_2,V_B_2,V_D_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_ta_2)) % 197.15/197.37 => 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_ta_2)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_embed__list__def,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_listsum__map__filter,axiom, % 197.15/197.37 ! [V_f_2,V_P_2,V_xs_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Omonoid__add(T_c) % 197.15/197.37 => ( ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.15/197.37 => ( ~ hBOOL(hAPP(V_P_2,B_x)) % 197.15/197.37 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) % 197.15/197.37 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_aset_I10_J,axiom, % 197.15/197.37 ! [V_ta_2,V_A_2,V_D_2,V_d_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_ta_2))) % 197.15/197.37 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_ta_2))) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_bset_I10_J,axiom, % 197.15/197.37 ! [V_ta_2,V_B_2,V_D_2,V_d_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_ta_2))) % 197.15/197.37 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_ta_2))) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_bset_I9_J,axiom, % 197.15/197.37 ! [V_ta_2,V_B_2,V_D_2,V_d_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_ta_2))) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_ta_2))) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_aset_I9_J,axiom, % 197.15/197.37 ! [V_ta_2,V_A_2,V_D_2,V_d_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),V_D_2)) % 197.15/197.37 => ! [B_x] : % 197.15/197.37 ( ! [B_xa] : % 197.15/197.37 ( 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))) % 197.15/197.37 => ! [B_xb] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 197.15/197.37 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_ta_2))) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_ta_2))) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 197.15/197.37 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) = hAPP(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_na_2))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atMost__eq__iff,axiom, % 197.15/197.37 ! [V_y_2,V_x_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2) % 197.15/197.37 <=> V_x_2 = V_y_2 ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeast0AtMost,axiom, % 197.15/197.37 ! [V_na_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__atMost,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atMost__iff,axiom, % 197.15/197.37 ! [V_k_2,V_i_2,T_b] : % 197.15/197.37 ( class_Orderings_Oord(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2))) % 197.15/197.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atMost__subset__iff,axiom, % 197.15/197.37 ! [V_y_2,V_x_2,T_b] : % 197.15/197.37 ( class_Orderings_Oorder(T_b) % 197.15/197.37 => ( 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))) % 197.15/197.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Int__atLeastAtMostR1,axiom, % 197.15/197.37 ! [V_d_2,V_c_2,V_b_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Int__atLeastAtMostL1,axiom, % 197.15/197.37 ! [V_d_2,V_b_2,V_a_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I9_J,axiom, % 197.15/197.37 ! [V_u_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atMost__upto,axiom, % 197.15/197.37 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_greaterThan__0,axiom, % 197.15/197.37 hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I7_J,axiom, % 197.15/197.37 ! [V_u_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I10_J,axiom, % 197.15/197.37 ! [V_u_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__lessThan,axiom, % 197.15/197.37 ! [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 ). % 197.15/197.37 % 197.15/197.37 fof(fact_greaterThan__eq__iff,axiom, % 197.15/197.37 ! [V_y_2,V_x_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2) % 197.15/197.37 <=> V_x_2 = V_y_2 ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_lessThan__eq__iff,axiom, % 197.15/197.37 ! [V_y_2,V_x_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2) % 197.15/197.37 <=> V_x_2 = V_y_2 ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__uminus__lessThan,axiom, % 197.15/197.37 ! [V_x_2,T_b] : % 197.15/197.37 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.37 => hAPP(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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__uminus__greaterThan,axiom, % 197.15/197.37 ! [V_x_2,T_b] : % 197.15/197.37 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.37 => hAPP(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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_lessThan__Suc__atMost,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_sublist__upt__eq__take,axiom, % 197.15/197.37 ! [V_na_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2)) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_l_2) ). % 197.15/197.37 % 197.15/197.37 fof(fact_lessThan__iff,axiom, % 197.15/197.37 ! [V_k_2,V_i_2,T_b] : % 197.15/197.37 ( class_Orderings_Oord(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2))) % 197.15/197.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_lessThan__subset__iff,axiom, % 197.15/197.37 ! [V_y_2,V_x_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( 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))) % 197.15/197.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_greaterThan__iff,axiom, % 197.15/197.37 ! [V_k_2,V_i_2,T_b] : % 197.15/197.37 ( class_Orderings_Oord(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2))) % 197.15/197.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_greaterThan__subset__iff,axiom, % 197.15/197.37 ! [V_y_2,V_x_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( 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))) % 197.15/197.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_lessThan__strict__subset__iff,axiom, % 197.15/197.37 ! [V_na_2,V_m_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( 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_na_2))) % 197.15/197.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_na_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Compl__atMost,axiom, % 197.15/197.37 ! [V_k_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Compl__greaterThan,axiom, % 197.15/197.37 ! [V_k_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeast__upt,axiom, % 197.15/197.37 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I11_J,axiom, % 197.15/197.37 ! [V_u_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_arith__series__int,axiom, % 197.15/197.37 ! [V_na_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_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_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_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I12_J,axiom, % 197.15/197.37 ! [V_u_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I13_J,axiom, % 197.15/197.37 ! [V_u_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__abs,axiom, % 197.15/197.37 ! [V_A_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__abs__ge__zero,axiom, % 197.15/197.37 ! [V_A_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__divide__distrib,axiom, % 197.15/197.37 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( class_Fields_Ofield(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_abs__setsum__abs,axiom, % 197.15/197.37 ! [V_A_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__0,axiom, % 197.15/197.37 ! [V_A_2,T_c,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_of__int__setsum,axiom, % 197.15/197.37 ! [V_A_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( class_Rings_Oring__1(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__commute,axiom, % 197.15/197.37 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__subtractf,axiom, % 197.15/197.37 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( class_Groups_Oab__group__add(T_b) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__product,axiom, % 197.15/197.37 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( class_Rings_Osemiring__0(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__left__distrib,axiom, % 197.15/197.37 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( class_Rings_Osemiring__0(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__right__distrib,axiom, % 197.15/197.37 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] : % 197.15/197.37 ( class_Rings_Osemiring__0(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__addf,axiom, % 197.15/197.37 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_of__nat__setsum,axiom, % 197.15/197.37 ! [V_A_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( class_Rings_Osemiring__1(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__negf,axiom, % 197.15/197.37 ! [V_A_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( class_Groups_Oab__group__add(T_b) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeast__eq__iff,axiom, % 197.15/197.37 ! [V_y_2,V_x_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2) % 197.15/197.37 <=> V_x_2 = V_y_2 ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__lessThan__Suc,axiom, % 197.15/197.37 ! [V_na_2,V_f_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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_na_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_na_2))),hAPP(V_f_2,V_na_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 197.15/197.37 ! [V_na_2,V_m_2,V_f_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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_na_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_na_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 197.15/197.37 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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_na_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_na_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeast__iff,axiom, % 197.15/197.37 ! [V_k_2,V_i_2,T_b] : % 197.15/197.37 ( class_Orderings_Oord(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2))) % 197.15/197.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeast__subset__iff,axiom, % 197.15/197.37 ! [V_y_2,V_x_2,T_b] : % 197.15/197.37 ( class_Orderings_Oorder(T_b) % 197.15/197.37 => ( 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))) % 197.15/197.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeast__0,axiom, % 197.15/197.37 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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__constant,axiom, % 197.15/197.37 ! [V_A_2,V_y_2,T_c,T_b] : % 197.15/197.37 ( class_Rings_Osemiring__1(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__atMost__Suc,axiom, % 197.15/197.37 ! [V_na_2,V_f_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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_na_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_na_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Compl__lessThan,axiom, % 197.15/197.37 ! [V_k_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Compl__atLeast,axiom, % 197.15/197.37 ! [V_k_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeast__Suc__greaterThan,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__head__Suc,axiom, % 197.15/197.37 ! [V_f_2,V_na_2,V_m_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.15/197.37 => 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_na_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_na_2))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 197.15/197.37 ! [V_na_2,V_m_2,V_f_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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_na_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_na_2))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 197.15/197.37 ! [V_na_2,V_m_2,V_f_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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_na_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_na_2))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Int__atLeastAtMostR2,axiom, % 197.15/197.37 ! [V_d_2,V_c_2,V_a_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Int__atLeastAtMostL2,axiom, % 197.15/197.37 ! [V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => 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) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__cl__ivl__Suc,axiom, % 197.15/197.37 ! [V_f_2,V_m_2,V_na_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) % 197.15/197.37 => 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_na_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 197.15/197.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) % 197.15/197.37 => 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_na_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_na_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2))) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__head,axiom, % 197.15/197.37 ! [V_P_2,V_na_2,V_m_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.15/197.37 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_P_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_na_2))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__uminus__atLeast,axiom, % 197.15/197.37 ! [V_x_2,T_b] : % 197.15/197.37 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.37 => hAPP(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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__uminus__atMost,axiom, % 197.15/197.37 ! [V_x_2,T_b] : % 197.15/197.37 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.37 => hAPP(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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__ub__add__nat,axiom, % 197.15/197.37 ! [V_p_2,V_f_2,V_na_2,V_m_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => ( 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_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) % 197.15/197.37 => 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_na_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_na_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_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_p_2)))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_arith__series__general,axiom, % 197.15/197.37 ! [V_na_2,V_d_2,V_a_2,T_b] : % 197.15/197.37 ( class_Rings_Ocomm__semiring__1(T_b) % 197.15/197.37 => 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_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_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_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_gauss__sum,axiom, % 197.15/197.37 ! [V_na_2,T_b] : % 197.15/197.37 ( class_Rings_Ocomm__semiring__1(T_b) % 197.15/197.37 => 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_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Groups_Oone__class_Oone(T_b))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__natinterval__difff,axiom, % 197.15/197.37 ! [V_f_2,V_na_2,V_m_2,T_b] : % 197.15/197.37 ( class_Groups_Oab__group__add(T_b) % 197.15/197.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.15/197.37 => 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_na_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_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 197.15/197.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.15/197.37 => 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_na_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__bounded,axiom, % 197.15/197.37 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] : % 197.15/197.37 ( ( class_Groups_Oordered__ab__semigroup__add(T_c) % 197.15/197.37 & class_Rings_Osemiring__1(T_c) ) % 197.15/197.37 => ( ! [B_i] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) ) % 197.15/197.37 => 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))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__atLeastZeroLessThan__int,axiom, % 197.15/197.37 ! [V_u_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 197.15/197.37 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2) = hAPP(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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_arith__series__nat,axiom, % 197.15/197.37 ! [V_na_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_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_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_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastLessThan__eq__iff,axiom, % 197.15/197.37 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 197.15/197.37 => ( 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) % 197.15/197.37 <=> ( V_a_2 = V_c_2 % 197.15/197.37 & V_b_2 = V_d_2 ) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 197.15/197.37 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( 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) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 197.15/197.37 => V_a_2 = V_c_2 ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 197.15/197.37 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( 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) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 197.15/197.37 => V_b_2 = V_d_2 ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__eq__setsum,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastLessThan__subset__iff,axiom, % 197.15/197.37 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( 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))) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 197.15/197.37 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 197.15/197.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I17_J,axiom, % 197.15/197.37 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 197.15/197.37 => 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) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__diff,axiom, % 197.15/197.37 ! [V_m_2,V_na_2,V_i_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_na_2)) % 197.15/197.37 => 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_na_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_na_2),V_m_2) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_int__setsum,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 197.15/197.37 ! [V_k_2,V_f_2] : % 197.15/197.37 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I21_J,axiom, % 197.15/197.37 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 197.15/197.37 => 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) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Int__atLeastLessThan,axiom, % 197.15/197.37 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I8_J,axiom, % 197.15/197.37 ! [V_u_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I14_J,axiom, % 197.15/197.37 ! [V_u_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__uminus__greaterThanAtMost,axiom, % 197.15/197.37 ! [V_y_2,V_x_2,T_b] : % 197.15/197.37 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.37 => hAPP(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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__uminus__atLeastLessThan,axiom, % 197.15/197.37 ! [V_y_2,V_x_2,T_b] : % 197.15/197.37 ( class_Groups_Oordered__ab__group__add(T_b) % 197.15/197.37 => hAPP(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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__add__int__atLeastLessThan,axiom, % 197.15/197.37 ! [V_u_2,V_l_2] : hAPP(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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__atLeastZeroLessThan__int,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__atLeastLessThan__int,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 197.15/197.37 ! [V_A_2,V_f_2,T_b] : % 197.15/197.37 ( ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 & class_Groups_Ocomm__monoid__mult(T_b) ) % 197.15/197.37 => 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(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I15_J,axiom, % 197.15/197.37 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 197.15/197.37 => 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) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 197.15/197.37 ! [V_j_2,V_i_2,V_f_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 197.15/197.37 ! [V_l_2,V_k_2,V_f_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastLessThan__upto,axiom, % 197.15/197.37 ! [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)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 197.15/197.37 ! [V_f_2,V_A_2,T_b] : % 197.15/197.37 ( ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 & class_Groups_Ocomm__monoid__mult(T_b) ) % 197.15/197.37 => ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.37 => 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(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_A_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ivl__disj__un_I18_J,axiom, % 197.15/197.37 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.37 ( class_Orderings_Olinorder(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 197.15/197.37 => 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) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 197.15/197.37 ! [V_f_2,V_A_2,T_b] : % 197.15/197.37 ( ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.37 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_sum__diff__distrib,axiom, % 197.15/197.37 ! [V_na_2,V_P_2,V_Q_2] : % 197.15/197.37 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Q_2,B_x)),hAPP(V_P_2,B_x))) % 197.15/197.37 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_P_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Q_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_P_2)),V_Q_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_geometric__sum,axiom, % 197.15/197.37 ! [V_na_2,V_x_2,T_b] : % 197.15/197.37 ( class_Fields_Ofield(T_b) % 197.15/197.37 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b) % 197.15/197.37 => 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_na_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_na_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))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_all__nat__less__eq,axiom, % 197.15/197.37 ! [V_P_2,V_na_2] : % 197.15/197.37 ( ! [B_m] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2)) % 197.15/197.37 => hBOOL(hAPP(V_P_2,B_m)) ) % 197.15/197.37 <=> ! [B_x] : % 197.15/197.37 ( 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_na_2))) % 197.15/197.37 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_ex__nat__less__eq,axiom, % 197.15/197.37 ! [V_P_2,V_na_2] : % 197.15/197.37 ( ? [B_m] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2)) % 197.15/197.37 & hBOOL(hAPP(V_P_2,B_m)) ) % 197.15/197.37 <=> ? [B_x] : % 197.15/197.37 ( 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_na_2))) % 197.15/197.37 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeast0LessThan,axiom, % 197.15/197.37 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__atLeastLessThan,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_set__upt,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastLessThan__upt,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__Suc__atLeastLessThan,axiom, % 197.15/197.37 ! [V_j_2,V_i_2] : hAPP(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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 197.15/197.37 ! [V_na_2,V_m_2,V_f_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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_na_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_na_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 197.15/197.37 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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_na_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_na_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_image__add__atLeastLessThan,axiom, % 197.15/197.37 ! [V_j_2,V_i_2,V_k_2] : hAPP(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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__add__nat__ivl,axiom, % 197.15/197.37 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2)) % 197.15/197.37 => 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_na_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_na_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)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__diff__nat__ivl,axiom, % 197.15/197.37 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] : % 197.15/197.37 ( class_Groups_Oab__group__add(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2)) % 197.15/197.37 => 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_na_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_na_2),V_p_2)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_atLeastLessThan__add__Un,axiom, % 197.15/197.37 ! [V_k_2,V_j_2,V_i_2] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_subset__card__intvl__is__intvl,axiom, % 197.15/197.37 ! [V_k_2,V_A_2] : % 197.15/197.37 ( 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))))) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 197.15/197.37 ! [V_k_2,V_f_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b) % 197.15/197.37 => 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)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__head__upt__Suc,axiom, % 197.15/197.37 ! [V_f_2,V_na_2,V_m_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 197.15/197.37 => 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_na_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_na_2))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__op__ivl__Suc,axiom, % 197.15/197.37 ! [V_f_2,V_m_2,V_na_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 197.15/197.37 => 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_na_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 197.15/197.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 197.15/197.37 => 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_na_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_na_2))),hAPP(V_f_2,V_na_2)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_listsum__setsum__nth,axiom, % 197.15/197.37 ! [V_xs_2,T_b] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__Plus,axiom, % 197.15/197.37 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_d) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 197.15/197.37 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_sum(T_b,T_c),T_d),V_f_2),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_Fun_Ocomp(tc_sum(T_b,T_c),T_d,T_b),V_f_2),c_Sum__Type_OInl(T_b,T_c))),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_Fun_Ocomp(tc_sum(T_b,T_c),T_d,T_c),V_f_2),c_Sum__Type_OInr(T_c,T_b))),V_B_2)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_concat__map__maps,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_maps__def,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__atLeastLessThan,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__atLeastAtMost__int,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__atLeastAtMost,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__lessThan,axiom, % 197.15/197.37 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__atMost,axiom, % 197.15/197.37 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__atLeastLessThan__int,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__greaterThanAtMost,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__greaterThanAtMost__int,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__greaterThanLessThan__int,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__greaterThanLessThan,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__set,axiom, % 197.15/197.37 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 197.15/197.37 ! [V_A_2] : % 197.15/197.37 ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 197.15/197.37 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_A_2))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 197.15/197.37 ! [V_A_2] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 197.15/197.37 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_infinite__UNIV__listI,axiom, % 197.15/197.37 ! [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)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 197.15/197.37 ! [V_N_2] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 197.15/197.37 <=> ? [B_m] : % 197.15/197.37 ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__converse,axiom, % 197.15/197.37 ! [V_r_2,T_c,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 197.15/197.37 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__trancl,axiom, % 197.15/197.37 ! [V_r_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 197.15/197.37 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__nat__set__iff__bounded,axiom, % 197.15/197.37 ! [V_N_2] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 197.15/197.37 <=> ? [B_m] : % 197.15/197.37 ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Domain,axiom, % 197.15/197.37 ! [V_r_2,T_c,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Range,axiom, % 197.15/197.37 ! [V_r_2,T_c,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Field,axiom, % 197.15/197.37 ! [V_r_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum_Oinfinite,axiom, % 197.15/197.37 ! [V_g_2,V_A_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__infinite,axiom, % 197.15/197.37 ! [V_f_2,V_A_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__eq__0__iff,axiom, % 197.15/197.37 ! [V_f_2,V_F_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 197.15/197.37 => ( 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) % 197.15/197.37 <=> ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 197.15/197.37 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__lists__length__eq,axiom, % 197.15/197.37 ! [V_na_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => 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_na_2))))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__acyclic__wf,axiom, % 197.15/197.37 ! [V_r_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 197.15/197.37 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 197.15/197.37 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_wf__iff__acyclic__if__finite,axiom, % 197.15/197.37 ! [V_r_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 197.15/197.37 => ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.37 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum_Odistrib,axiom, % 197.15/197.37 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => 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)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 197.15/197.37 ! [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))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__fun__UNIVD1,axiom, % 197.15/197.37 ! [T_c,T_b] : % 197.15/197.37 ( 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)))) % 197.15/197.37 => ( 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)) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_maps__simps_I2_J,axiom, % 197.15/197.37 ! [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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__M__bounded__by__nat,axiom, % 197.15/197.37 ! [V_i_2,V_P_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_P_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__lists__length__le,axiom, % 197.15/197.37 ! [V_na_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => 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_na_2))))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__eq__Suc0__iff,axiom, % 197.15/197.37 ! [V_f_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( 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)) % 197.15/197.37 <=> ? [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.37 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 197.15/197.37 & ! [B_xa] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 197.15/197.37 => ( B_x != B_xa % 197.15/197.37 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__eq__1__iff,axiom, % 197.15/197.37 ! [V_f_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( 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) % 197.15/197.37 <=> ? [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.37 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 197.15/197.37 & ! [B_xa] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 197.15/197.37 => ( B_x != B_xa % 197.15/197.37 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__delta_H,axiom, % 197.15/197.37 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.15/197.37 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 197.15/197.37 => 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) ) % 197.15/197.37 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 197.15/197.37 => 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) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__delta,axiom, % 197.15/197.37 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.15/197.37 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 197.15/197.37 => 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) ) % 197.15/197.37 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 197.15/197.37 => 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) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__setsum__restrict,axiom, % 197.15/197.37 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_d) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 197.15/197.37 => 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) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__acyclic__wf__converse,axiom, % 197.15/197.37 ! [V_r_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 197.15/197.37 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 197.15/197.37 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__Un__Int,axiom, % 197.15/197.37 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => 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)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__diff,axiom, % 197.15/197.37 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Oab__group__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.15/197.37 => 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)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__diff__nat,axiom, % 197.15/197.37 ! [V_f_2,V_A_2,V_B_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.15/197.37 => 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)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__restrict__set_H,axiom, % 197.15/197.37 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__restrict__set,axiom, % 197.15/197.37 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__image__gen,axiom, % 197.15/197.37 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.15/197.37 => 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(hAPP(c_Set_Oimage(T_b,T_d),V_f_2),V_S_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_maps__simps_I1_J,axiom, % 197.15/197.37 ! [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)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__Un,axiom, % 197.15/197.37 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Oab__group__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => 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))) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__Un__nat,axiom, % 197.15/197.37 ! [V_f_2,V_B_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => 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))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__cases,axiom, % 197.15/197.37 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_P_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Collect__subsets,axiom, % 197.15/197.37 ! [V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => 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)))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Collect__le__nat,axiom, % 197.15/197.37 ! [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)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__imageI,axiom, % 197.15/197.37 ! [V_h_2,T_c,V_F_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_h_2),V_F_2))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Int,axiom, % 197.15/197.37 ! [V_G_2,V_F_2,T_b] : % 197.15/197.37 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 197.15/197.37 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Diff,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Collect__conjI,axiom, % 197.15/197.37 ! [V_Q_2,V_P_2,T_b] : % 197.15/197.37 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 197.15/197.37 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Collect__less__nat,axiom, % 197.15/197.37 ! [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)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_infinite__UNIV__int,axiom, % 197.15/197.37 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__code,axiom, % 197.15/197.37 ! [V_A_2,T_b] : % 197.15/197.37 ( class_Finite__Set_Ofinite(T_b) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite,axiom, % 197.15/197.37 ! [V_A_2,T_b] : % 197.15/197.37 ( class_Finite__Set_Ofinite(T_b) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__UNIV__unit,axiom, % 197.15/197.37 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) ). % 197.15/197.37 % 197.15/197.37 fof(fact_infinite__UNIV__nat,axiom, % 197.15/197.37 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__subset,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_rev__finite__subset,axiom, % 197.15/197.37 ! [V_A_2,V_B_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__UNIV,axiom, % 197.15/197.37 ! [T_b] : % 197.15/197.37 ( class_Finite__Set_Ofinite(T_b) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__option__UNIV,axiom, % 197.15/197.37 ! [T_b] : % 197.15/197.37 ( 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)))) % 197.15/197.37 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__UnI,axiom, % 197.15/197.37 ! [V_G_2,V_F_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Un,axiom, % 197.15/197.37 ! [V_G_2,V_F_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) % 197.15/197.37 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 197.15/197.37 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Diff2,axiom, % 197.15/197.37 ! [V_A_2,V_B_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => ( 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))) % 197.15/197.37 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Pow__iff,axiom, % 197.15/197.37 ! [V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2))) % 197.15/197.37 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Plus__iff,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,T_c,T_b] : % 197.15/197.37 ( 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))) % 197.15/197.37 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Plus,axiom, % 197.15/197.37 ! [V_B_2,T_c,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 197.15/197.37 => 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))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__PlusD_I1_J,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,T_c,T_b] : % 197.15/197.37 ( 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))) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__PlusD_I2_J,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,T_c,T_b] : % 197.15/197.37 ( 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))) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Collect__disjI,axiom, % 197.15/197.37 ! [V_Q_2,V_P_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2)))) % 197.15/197.37 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 197.15/197.37 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__surj,axiom, % 197.15/197.37 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2))) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__infinite,axiom, % 197.15/197.37 ! [V_A_2,T_b] : % 197.15/197.37 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 197.15/197.37 ! [V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 197.15/197.37 => ( 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))) % 197.15/197.37 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__compl,axiom, % 197.15/197.37 ! [V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 197.15/197.37 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Collect__bounded__ex,axiom, % 197.15/197.37 ! [V_Q_2,T_c,V_P_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))))) % 197.15/197.37 <=> ! [B_y] : % 197.15/197.37 ( hBOOL(hAPP(V_P_2,B_y)) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__image__set,axiom, % 197.15/197.37 ! [V_f_2,T_c,V_P_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_P_2))))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Collect__not,axiom, % 197.15/197.37 ! [V_P_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)))) % 197.15/197.37 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__range__imageI,axiom, % 197.15/197.37 ! [V_f_2,T_d,V_g_2,T_c,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(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))))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__fun__UNIVD2,axiom, % 197.15/197.37 ! [T_c,T_b] : % 197.15/197.37 ( 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)))) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Collect__bex,axiom, % 197.15/197.37 ! [V_Q_2,T_c,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Q_2))))) % 197.15/197.37 <=> ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_x)))) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Prod__UNIV,axiom, % 197.15/197.37 ! [T_c,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) % 197.15/197.37 => 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)))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__Plus__UNIV__iff,axiom, % 197.15/197.37 ! [T_c,T_b] : % 197.15/197.37 ( 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)))) % 197.15/197.37 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 197.15/197.37 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__ge__0__finite,axiom, % 197.15/197.37 ! [V_A_2,T_b] : % 197.15/197.37 ( 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))) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__seteq,axiom, % 197.15/197.37 ! [V_A_2,V_B_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.37 => ( 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))) % 197.15/197.37 => V_A_2 = V_B_2 ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__mono,axiom, % 197.15/197.37 ! [V_A_2,V_B_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.37 => 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))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__image__le,axiom, % 197.15/197.37 ! [V_f_2,T_c,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_psubset__card__mono,axiom, % 197.15/197.37 ! [V_A_2,V_B_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.37 => 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))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__Plus,axiom, % 197.15/197.37 ! [V_B_2,T_c,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 197.15/197.37 => 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)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_nat__seg__image__imp__finite,axiom, % 197.15/197.37 ! [V_na_2,V_f_2,T_b,V_A_2] : % 197.15/197.37 ( V_A_2 = hAPP(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_na_2))) % 197.15/197.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__UNIV__card__ge__0,axiom, % 197.15/197.37 ! [T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 197.15/197.37 => 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))))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__Un__Int,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => 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))) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card_Ounion__inter,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => 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)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__Diff__subset,axiom, % 197.15/197.37 ! [V_A_2,V_B_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.15/197.37 => 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)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__Diff__subset__Int,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,T_b] : % 197.15/197.37 ( 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))) % 197.15/197.37 => 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))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_diff__card__le__card__Diff,axiom, % 197.15/197.37 ! [V_A_2,V_B_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => 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)))) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__psubset,axiom, % 197.15/197.37 ! [V_A_2,V_B_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.37 => ( 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))) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__Plus__conv__if,axiom, % 197.15/197.37 ! [V_B_2,T_c,V_A_2,T_b] : % 197.15/197.37 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 197.15/197.37 => 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)) ) % 197.15/197.37 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 197.15/197.37 => 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) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card__Pow,axiom, % 197.15/197.37 ! [V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => 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)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_in__finite__psubset,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,T_b] : % 197.15/197.37 ( 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))) % 197.15/197.37 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.37 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_Nitpick_Owf_H__def,axiom, % 197.15/197.37 ! [V_r_2,T_b] : % 197.15/197.37 ( c_Nitpick_Owf_H(T_b,V_r_2) % 197.15/197.37 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 197.15/197.37 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 197.15/197.37 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_wf__finite__psubset,axiom, % 197.15/197.37 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 197.15/197.37 % 197.15/197.37 fof(fact_finite__psubset__def,axiom, % 197.15/197.37 ! [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)))) ). % 197.15/197.37 % 197.15/197.37 fof(fact_card_Ounion__inter__neutral,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => ( ( ? [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))) % 197.15/197.37 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 197.15/197.37 => 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)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__mono2,axiom, % 197.15/197.37 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Oordered__comm__monoid__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.37 => ( ! [B_b] : % 197.15/197.37 ( 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))) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) ) % 197.15/197.37 => 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))) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_min__ext__wf,axiom, % 197.15/197.37 ! [V_r_2,T_b] : % 197.15/197.37 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.37 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__multicount,axiom, % 197.15/197.37 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 197.15/197.37 => ( ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2)) % 197.15/197.37 => 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 ) % 197.15/197.37 => 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)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum_Ounion__inter__neutral,axiom, % 197.15/197.37 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => ( ! [B_x] : % 197.15/197.37 ( 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))) % 197.15/197.37 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 197.15/197.37 => 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)) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__Un__zero,axiom, % 197.15/197.37 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 197.15/197.37 => ( ! [B_x] : % 197.15/197.37 ( 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))) % 197.15/197.37 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 197.15/197.37 => 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)) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__mono3,axiom, % 197.15/197.37 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 197.15/197.37 ( ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.37 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.37 => ( ! [B_x] : % 197.15/197.37 ( 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))) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 197.15/197.37 => 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))) ) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__reindex__nonzero,axiom, % 197.15/197.37 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] : % 197.15/197.37 ( class_Groups_Ocomm__monoid__add(T_d) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.15/197.37 => ( ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 197.15/197.37 => ! [B_y] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2)) % 197.15/197.37 => ( B_x != B_y % 197.15/197.37 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 197.15/197.37 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) % 197.15/197.37 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(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(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),V_h_2),V_f_2)),V_S_2) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_setsum__multicount__gen,axiom, % 197.15/197.37 ! [V_k_2,V_R_2,V_ta_2,T_c,V_s_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_ta_2)) % 197.15/197.37 => ( ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_ta_2)) % 197.15/197.37 => 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) ) % 197.15/197.37 => 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_ta_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_ta_2) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_equiv__imp__dvd__card,axiom, % 197.15/197.37 ! [V_k_2,V_r_2,V_A_2,T_b] : % 197.15/197.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.37 => ( ! [B_x] : % 197.15/197.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),B_x))) ) % 197.15/197.37 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_folding__idem_Ounion__idem,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.37 => 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(c_Fun_Ocomp(T_c,T_c,T_c),hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 197.15/197.37 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 197.15/197.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.15/197.37 => hAPP(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) ) ) ) ). % 197.15/197.37 % 197.15/197.37 fof(fact_folding__idem_Oidem__left__comp,axiom, % 197.15/197.37 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.37 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_f_2,V_x_2)),V_g_2) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__idem_Oidem__comp,axiom, % 197.15/197.38 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => hAPP(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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__idem_Oin__comp__idem,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => hAPP(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) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__gen__delta,axiom, % 197.15/197.38 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.15/197.38 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 197.15/197.38 => 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)))) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum__nonneg__0,axiom, % 197.15/197.38 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Oordered__ab__group__add(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 197.15/197.38 => ( ! [B_i] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 197.15/197.38 => ( 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) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 197.15/197.38 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__dividef,axiom, % 197.15/197.38 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Fields_Ofield__inverse__zero(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__zero,axiom, % 197.15/197.38 ! [V_f_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Rings_Ocomm__semiring__1(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ? [B_x] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.38 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 197.15/197.38 => 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) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__zero__iff,axiom, % 197.15/197.38 ! [V_f_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( ( class_Rings_Ocomm__semiring__1(T_c) % 197.15/197.38 & class_Rings_Ono__zero__divisors(T_c) ) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( 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) % 197.15/197.38 <=> ? [B_x] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.38 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod_Oinfinite,axiom, % 197.15/197.38 ! [V_g_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => 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) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__infinite,axiom, % 197.15/197.38 ! [V_f_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => 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) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__eq__1__iff,axiom, % 197.15/197.38 ! [V_f_2,V_F_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 197.15/197.38 => ( 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) % 197.15/197.38 <=> ! [B_x] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 197.15/197.38 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod_Odistrib,axiom, % 197.15/197.38 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 197.15/197.38 ! [V_A_2,V_f_2,T_b] : % 197.15/197.38 ( ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.38 & class_Groups_Ocomm__monoid__mult(T_b) ) % 197.15/197.38 => 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(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 197.15/197.38 ! [V_f_2,V_A_2,T_b] : % 197.15/197.38 ( ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.38 & class_Groups_Ocomm__monoid__mult(T_b) ) % 197.15/197.38 => ( c_Nat__Transfer_Onat__set(V_A_2) % 197.15/197.38 => 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(hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_A_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__timesf,axiom, % 197.15/197.38 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__1,axiom, % 197.15/197.38 ! [V_A_2,T_c,T_b] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_b) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_of__int__setprod,axiom, % 197.15/197.38 ! [V_A_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 197.15/197.38 & class_Rings_Oring__1(T_b) ) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_int__setprod,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_of__nat__setprod,axiom, % 197.15/197.38 ! [V_A_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 197.15/197.38 & class_Rings_Osemiring__1(T_b) ) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_abs__setprod,axiom, % 197.15/197.38 ! [V_A_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( class_Fields_Olinordered__field(T_b) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd__setprod,axiom, % 197.15/197.38 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Rings_Ocomm__semiring__1(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(V_f_2,V_i_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__pos__nat__iff,axiom, % 197.15/197.38 ! [V_f_2,V_S_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.15/197.38 => ( 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))) % 197.15/197.38 <=> ! [B_x] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 197.15/197.38 => 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))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__dvd__setprod__subset,axiom, % 197.15/197.38 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 197.15/197.38 ( ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 & class_Rings_Odvd(T_c) ) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__delta_H,axiom, % 197.15/197.38 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.15/197.38 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 197.15/197.38 => 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) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 197.15/197.38 => 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) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__delta,axiom, % 197.15/197.38 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.15/197.38 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 197.15/197.38 => 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) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 197.15/197.38 => 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) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__constant,axiom, % 197.15/197.38 ! [V_y_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod_Ounion__inter,axiom, % 197.15/197.38 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__Un__Int,axiom, % 197.15/197.38 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__Un,axiom, % 197.15/197.38 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Fields_Ofield(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( ! [B_x] : % 197.15/197.38 ( 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))) % 197.15/197.38 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) ) % 197.15/197.38 => 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))) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__Un__one,axiom, % 197.15/197.38 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 197.15/197.38 => ( ! [B_x] : % 197.15/197.38 ( 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))) % 197.15/197.38 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 197.15/197.38 ! [V_f_2,V_A_2,T_b] : % 197.15/197.38 ( ! [B_x] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.38 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod_Ounion__inter__neutral,axiom, % 197.15/197.38 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( ! [B_x] : % 197.15/197.38 ( 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))) % 197.15/197.38 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum__nonneg__leq__bound,axiom, % 197.15/197.38 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Oordered__ab__group__add(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 197.15/197.38 => ( ! [B_i] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 197.15/197.38 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2 % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__mono__one__left,axiom, % 197.15/197.38 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 197.15/197.38 => ( ! [B_x] : % 197.15/197.38 ( 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))) % 197.15/197.38 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 197.15/197.38 => 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) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__mono__one__right,axiom, % 197.15/197.38 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 197.15/197.38 => ( ! [B_x] : % 197.15/197.38 ( 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))) % 197.15/197.38 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 197.15/197.38 => 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) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum__mono__zero__right,axiom, % 197.15/197.38 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 197.15/197.38 => ( ! [B_x] : % 197.15/197.38 ( 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))) % 197.15/197.38 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 197.15/197.38 => 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) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum__mono__zero__left,axiom, % 197.15/197.38 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 197.15/197.38 => ( ! [B_x] : % 197.15/197.38 ( 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))) % 197.15/197.38 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 197.15/197.38 => 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) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_max__ext__additive,axiom, % 197.15/197.38 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => ( 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))) % 197.15/197.38 => 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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_max__ext__wf,axiom, % 197.15/197.38 ! [V_r_2,T_b] : % 197.15/197.38 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.38 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_max__extp__max__ext__eq,axiom, % 197.15/197.38 ! [V_xa_2,V_x_2,V_R_2,T_b] : % 197.15/197.38 ( 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) % 197.15/197.38 <=> 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding_Ounion__inter,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => hAPP(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(hAPP(c_Fun_Ocomp(T_c,T_c,T_c),hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 197.15/197.38 ! [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] : % 197.15/197.38 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2) % 197.15/197.38 => hAPP(hAPP(c_Fun_Ocomp(T_f,T_e,T_d),V_f_2),hAPP(hAPP(c_Fun_Ocomp(T_g,T_f,T_d),V_g_2),V_h_2)) = hAPP(hAPP(c_Fun_Ocomp(T_g,T_e,T_d),hAPP(hAPP(c_Fun_Ocomp(T_f,T_e,T_g),V_f_2),V_g_2)),V_h_2) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding_Ocommute__comp,axiom, % 197.15/197.38 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => hAPP(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(hAPP(c_Fun_Ocomp(T_c,T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding_Ocommute__left__comp,axiom, % 197.15/197.38 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_f_2,V_y_2)),hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_f_2,V_y_2)),V_g_2)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding_Ocommute__comp_H,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => hAPP(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(hAPP(c_Fun_Ocomp(T_c,T_c,T_c),hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding_Ocommute__left__comp_H,axiom, % 197.15/197.38 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_F_2,V_A_2)),hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding_Ocommute__comp_H_H,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => hAPP(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(hAPP(c_Fun_Ocomp(T_c,T_c,T_c),hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 197.15/197.38 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_F_2,V_B_2)),hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_F_2,V_A_2)),hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_d),hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__Diff__insert,axiom, % 197.15/197.38 ! [V_B_2,V_a_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 197.15/197.38 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 197.15/197.38 ( ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.38 & class_Groups_Ocomm__monoid__mult(T_b) ) % 197.15/197.38 => ( V_A_2 = V_B_2 % 197.15/197.38 => ( c_Nat__Transfer_Onat__set(V_B_2) % 197.15/197.38 => ( ! [B_x] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 197.15/197.38 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 197.15/197.38 => 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) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insertCI,axiom, % 197.15/197.38 ! [V_b_2,V_B_2,V_a_2,T_b] : % 197.15/197.38 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 197.15/197.38 => V_a_2 = V_b_2 ) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insertE,axiom, % 197.15/197.38 ! [V_A_2,V_b_2,V_a_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 197.15/197.38 => ( V_a_2 != V_b_2 % 197.15/197.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_finite_OinsertI,axiom, % 197.15/197.38 ! [V_a_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__Collect,axiom, % 197.15/197.38 ! [V_P_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_P_2)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_subset__insertI,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_subset__insertI2,axiom, % 197.15/197.38 ! [V_b_2,V_B_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.15/197.38 => 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__mono,axiom, % 197.15/197.38 ! [V_a_2,V_D_2,V_C_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)) % 197.15/197.38 => 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__code,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,V_y_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)) % 197.15/197.38 <=> ( V_y_2 = V_x_2 % 197.15/197.38 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__commute,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__absorb2,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Un__insert__left,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Un__insert__right,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__inter__insert,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_List_Oset_Osimps_I2_J,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_lessThan__Suc,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_subset__insert,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,V_x_2,T_b] : % 197.15/197.38 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( 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))) % 197.15/197.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__subset,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,V_x_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 197.15/197.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Int__insert__right,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,V_a_2,T_b] : % 197.15/197.38 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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)) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Int__insert__left,axiom, % 197.15/197.38 ! [V_B_2,V_C_2,V_a_2,T_b] : % 197.15/197.38 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 197.15/197.38 => 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)) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 197.15/197.38 => 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) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Int__insert__right__if0,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,V_a_2,T_b] : % 197.15/197.38 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Int__insert__left__if0,axiom, % 197.15/197.38 ! [V_B_2,V_C_2,V_a_2,T_b] : % 197.15/197.38 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Int__insert__right__if1,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,V_a_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Int__insert__left__if1,axiom, % 197.15/197.38 ! [V_B_2,V_C_2,V_a_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Domain__insert,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Range__insert,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insertI1,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__iff,axiom, % 197.15/197.38 ! [V_A_2,V_b_2,V_a_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 197.15/197.38 <=> ( V_a_2 = V_b_2 % 197.15/197.38 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__ident,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,V_x_2,T_b] : % 197.15/197.38 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 197.15/197.38 => ( 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) % 197.15/197.38 <=> V_A_2 = V_B_2 ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insertI2,axiom, % 197.15/197.38 ! [V_b_2,V_B_2,V_a_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__absorb,axiom, % 197.15/197.38 ! [V_A_2,V_a_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__Diff__if,axiom, % 197.15/197.38 ! [V_A_2,V_B_2,V_x_2,T_b] : % 197.15/197.38 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 197.15/197.38 => 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) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__Diff1,axiom, % 197.15/197.38 ! [V_A_2,V_B_2,V_x_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__image,axiom, % 197.15/197.38 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)) = hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_image__insert,axiom, % 197.15/197.38 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(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(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_B_2)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_finite__insert,axiom, % 197.15/197.38 ! [V_A_2,V_a_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) % 197.15/197.38 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_finite__Diff__insert,axiom, % 197.15/197.38 ! [V_B_2,V_a_2,V_A_2,T_b] : % 197.15/197.38 ( 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)))) % 197.15/197.38 <=> 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atMost__Suc,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__compr,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__compr__raw,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__def,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_List_Oset__insert,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__insert__le,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => 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)))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_set__update__subset__insert,axiom, % 197.15/197.38 ! [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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeastAtMostSuc__conv,axiom, % 197.15/197.38 ! [V_na_2,V_m_2] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 197.15/197.38 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__idem_Oinsert__idem,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_c),hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum__insert,axiom, % 197.15/197.38 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum_Oinsert,axiom, % 197.15/197.38 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__insert,axiom, % 197.15/197.38 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod_Oinsert,axiom, % 197.15/197.38 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__insert__disjoint,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__insert__if,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding_Oinsert,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_c,T_c),hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Pow__insert,axiom, % 197.15/197.38 ! [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(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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 197.15/197.38 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card_Oinsert,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_wmin__insertI,axiom, % 197.15/197.38 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_wmax__insertI,axiom, % 197.15/197.38 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_smax__insertI,axiom, % 197.15/197.38 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_smin__insertI,axiom, % 197.15/197.38 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_max__strict__def,axiom, % 197.15/197.38 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__strict__def,axiom, % 197.15/197.38 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 197.15/197.38 % 197.15/197.38 fof(fact_max__rpair__set,axiom, % 197.15/197.38 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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__rpair__set,axiom, % 197.15/197.38 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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 197.15/197.38 ! [V_x_2,V_y_2,V_c_2] : % 197.15/197.38 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 197.15/197.38 => hAPP(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)) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 197.15/197.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 197.15/197.38 => hAPP(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))) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 197.15/197.38 => hAPP(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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_equiv__class__nondisjoint,axiom, % 197.15/197.38 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] : % 197.15/197.38 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.38 => ( 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))))))) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_wf__empty,axiom, % 197.15/197.38 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_emptyE,axiom, % 197.15/197.38 ! [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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_finite_OemptyI,axiom, % 197.15/197.38 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_empty__subsetI,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeastLessThan0,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Compl__disjoint,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Compl__disjoint2,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_greaterThanAtMost__empty,axiom, % 197.15/197.38 ! [V_k_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__empty,axiom, % 197.15/197.38 ! [V_f_2,T_c,T_b] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_b) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod_Oempty,axiom, % 197.15/197.38 ! [V_g_2,T_c,T_b] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_b) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_subset__Compl__self__eq,axiom, % 197.15/197.38 ! [V_A_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_finite_Oequations_I1_J,axiom, % 197.15/197.38 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_UNIV__not__empty,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card_Oempty,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 197.15/197.38 c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) = hAPP(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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 197.15/197.38 c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = hAPP(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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_empty__is__image,axiom, % 197.15/197.38 ! [V_A_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2) % 197.15/197.38 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_image__empty,axiom, % 197.15/197.38 ! [V_f_2,T_b,T_c] : hAPP(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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_image__is__empty,axiom, % 197.15/197.38 ! [V_A_2,V_f_2,T_b,T_c] : % 197.15/197.38 ( hAPP(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)) % 197.15/197.38 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeastLessThan__empty__iff2,axiom, % 197.15/197.38 ! [V_b_2,V_a_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => ( 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) % 197.15/197.38 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeastLessThan__empty__iff,axiom, % 197.15/197.38 ! [V_b_2,V_a_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => ( 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)) % 197.15/197.38 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Diff__UNIV,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Diff__disjoint,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Diff__triv,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum__empty,axiom, % 197.15/197.38 ! [V_f_2,T_c,T_b] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum_Oempty,axiom, % 197.15/197.38 ! [V_g_2,T_c,T_b] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__add(T_b) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ball__empty,axiom, % 197.15/197.38 ! [V_P_2,T_b,B_x] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 197.15/197.38 => hBOOL(hAPP(V_P_2,B_x)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_inf__bot__left,axiom, % 197.15/197.38 ! [V_x,T_a] : % 197.15/197.38 ( class_Lattices_Obounded__lattice__bot(T_a) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_inf__bot__right,axiom, % 197.15/197.38 ! [V_x,T_a] : % 197.15/197.38 ( class_Lattices_Obounded__lattice__bot(T_a) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Int__empty__left,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Int__empty__right,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_disjoint__iff__not__equal,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 <=> ! [B_x] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.38 => ! [B_xa] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2)) % 197.15/197.38 => B_x != B_xa ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_total__on__empty,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_sup__eq__bot__iff,axiom, % 197.15/197.38 ! [V_y_2,V_x_2,T_b] : % 197.15/197.38 ( class_Lattices_Obounded__lattice__bot(T_b) % 197.15/197.38 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b) % 197.15/197.38 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b) % 197.15/197.38 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_sup__bot__right,axiom, % 197.15/197.38 ! [V_x,T_a] : % 197.15/197.38 ( class_Lattices_Obounded__lattice__bot(T_a) % 197.15/197.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_sup__bot__left,axiom, % 197.15/197.38 ! [V_x,T_a] : % 197.15/197.38 ( class_Lattices_Obounded__lattice__bot(T_a) % 197.15/197.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Image__empty,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd_OgreaterThanAtMost__empty,axiom, % 197.15/197.38 ! [V_k_2,V_l_2] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 197.15/197.38 => c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom, % 197.15/197.38 ! [V_l_2,V_k_2] : % 197.15/197.38 ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 197.15/197.38 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 197.15/197.38 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom, % 197.15/197.38 ! [V_l_2,V_k_2] : % 197.15/197.38 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) % 197.15/197.38 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 197.15/197.38 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd_OatLeastLessThan__empty,axiom, % 197.15/197.38 ! [V_a_2,V_b_2] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) % 197.15/197.38 => c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd_OgreaterThanLessThan__empty,axiom, % 197.15/197.38 ! [V_k_2,V_l_2] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 197.15/197.38 => c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom, % 197.15/197.38 ! [V_b_2,V_a_2] : % 197.15/197.38 ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 197.15/197.38 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 197.15/197.38 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom, % 197.15/197.38 ! [V_b_2,V_a_2] : % 197.15/197.38 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) % 197.15/197.38 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 197.15/197.38 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Un__empty__left,axiom, % 197.15/197.38 ! [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 ). % 197.15/197.38 % 197.15/197.38 fof(fact_Un__empty__right,axiom, % 197.15/197.38 ! [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 ). % 197.15/197.38 % 197.15/197.38 fof(fact_Un__empty,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Field__empty,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rel__comp__empty2,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rel__comp__empty1,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Pow__not__empty,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 197.15/197.38 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_not__psubset__empty,axiom, % 197.15/197.38 ! [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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Range__empty__iff,axiom, % 197.15/197.38 ! [V_r_2,T_b,T_c] : % 197.15/197.38 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Range__empty,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_bot__fun__def,axiom, % 197.15/197.38 ! [V_x_2,T_c,T_b] : % 197.15/197.38 ( class_Orderings_Obot(T_b) % 197.15/197.38 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_bot__apply,axiom, % 197.15/197.38 ! [V_x_2,T_c,T_b] : % 197.15/197.38 ( class_Orderings_Obot(T_b) % 197.15/197.38 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Plus__eq__empty__conv,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_c,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_quotient__empty,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_quotient__is__empty2,axiom, % 197.15/197.38 ! [V_r_2,V_A_2,T_b] : % 197.15/197.38 ( 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) % 197.15/197.38 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_quotient__is__empty,axiom, % 197.15/197.38 ! [V_r_2,V_A_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Id__on__empty,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_empty__Diff,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Diff__empty,axiom, % 197.15/197.38 ! [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 ). % 197.15/197.38 % 197.15/197.38 fof(fact_Diff__cancel,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Domain__empty__iff,axiom, % 197.15/197.38 ! [V_r_2,T_c,T_b] : % 197.15/197.38 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Domain__empty,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_bex__empty,axiom, % 197.15/197.38 ! [V_P_2,T_b] : % 197.15/197.38 ~ ? [B_x] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 197.15/197.38 & hBOOL(hAPP(V_P_2,B_x)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_empty,axiom, % 197.15/197.38 ! [V_G_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_hoare__derivs_Oequations_I1_J,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_trancl__empty,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_bot__least,axiom, % 197.15/197.38 ! [V_x,T_a] : % 197.15/197.38 ( class_Orderings_Obot(T_a) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_less__by__empty,axiom, % 197.15/197.38 ! [V_B_2,T_b,V_A_2] : % 197.15/197.38 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_subset__empty,axiom, % 197.15/197.38 ! [V_A_2,T_b] : % 197.15/197.38 ( 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)))) % 197.15/197.38 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_refl__on__empty,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_override__on__emptyset,axiom, % 197.15/197.38 ! [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 ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeastLessThan__empty,axiom, % 197.15/197.38 ! [V_a_2,V_b_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeastatMost__empty,axiom, % 197.15/197.38 ! [V_a_2,V_b_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_List_Oset_Osimps_I1_J,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_set__empty2,axiom, % 197.15/197.38 ! [V_xs_2,T_b] : % 197.15/197.38 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2) % 197.15/197.38 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_set__empty,axiom, % 197.15/197.38 ! [V_xs_2,T_b] : % 197.15/197.38 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeastatMost__empty__iff,axiom, % 197.15/197.38 ! [V_b_2,V_a_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => ( 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)) % 197.15/197.38 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeastatMost__empty__iff2,axiom, % 197.15/197.38 ! [V_b_2,V_a_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => ( 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) % 197.15/197.38 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_empty__def,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Collect__empty__eq,axiom, % 197.15/197.38 ! [V_P_2,T_b] : % 197.15/197.38 ( hAPP(c_Set_OCollect(T_b),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_empty__Collect__eq,axiom, % 197.15/197.38 ! [V_P_2,T_b] : % 197.15/197.38 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_P_2) % 197.15/197.38 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I11_J,axiom, % 197.15/197.38 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Compl__empty__eq,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Compl__UNIV__eq,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_max__ext__compat,axiom, % 197.15/197.38 ! [V_S_2,V_R_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_greaterThanLessThan__empty,axiom, % 197.15/197.38 ! [V_k_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 197.15/197.38 ! [V_l_2,V_k_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => ( 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) % 197.15/197.38 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_greaterThanAtMost__empty__iff,axiom, % 197.15/197.38 ! [V_l_2,V_k_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => ( 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)) % 197.15/197.38 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_bot__empty__eq,axiom, % 197.15/197.38 ! [V_x_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) % 197.15/197.38 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_equals0D,axiom, % 197.15/197.38 ! [V_a_2,T_b,V_A_2] : % 197.15/197.38 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_empty__iff,axiom, % 197.15/197.38 ! [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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ex__in__conv,axiom, % 197.15/197.38 ! [V_A_2,T_b] : % 197.15/197.38 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.38 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_all__not__in__conv,axiom, % 197.15/197.38 ! [V_A_2,T_b] : % 197.15/197.38 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.15/197.38 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_max__weak__def,axiom, % 197.15/197.38 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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__weak__def,axiom, % 197.15/197.38 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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_singleton__iff,axiom, % 197.15/197.38 ! [V_a_2,V_b_2,T_b] : % 197.15/197.38 ( 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))))) % 197.15/197.38 <=> V_b_2 = V_a_2 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_singletonE,axiom, % 197.15/197.38 ! [V_a_2,V_b_2,T_b] : % 197.15/197.38 ( 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))))) % 197.15/197.38 => V_b_2 = V_a_2 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_lists__empty,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeastAtMost__singleton,axiom, % 197.15/197.38 ! [V_a_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeastAtMost__singleton__iff,axiom, % 197.15/197.38 ! [V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => ( 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))) % 197.15/197.38 <=> ( V_a_2 = V_b_2 % 197.15/197.38 & V_b_2 = V_c_2 ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeastAtMost__singleton_H,axiom, % 197.15/197.38 ! [V_b_2,V_a_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => ( V_a_2 = V_b_2 % 197.15/197.38 => 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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_singleton__quotient,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__is__Un,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_empty__not__insert,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__not__empty,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_doubleton__eq__iff,axiom, % 197.15/197.38 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 197.15/197.38 ( 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)))) % 197.15/197.38 <=> ( ( V_a_2 = V_c_2 % 197.15/197.38 & V_b_2 = V_d_2 ) % 197.15/197.38 | ( V_a_2 = V_d_2 % 197.15/197.38 & V_b_2 = V_c_2 ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_singleton__inject,axiom, % 197.15/197.38 ! [V_b_2,V_a_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => V_a_2 = V_b_2 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Pow__empty,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__Diff__single,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Diff__insert2,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Diff__insert,axiom, % 197.15/197.38 ! [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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_hoare__derivs_Oinsert,axiom, % 197.15/197.38 ! [V_ts_2,V_ta_2,V_G_2,T_b] : % 197.15/197.38 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_ta_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 197.15/197.38 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) % 197.15/197.38 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_ta_2),V_ts_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_subset__singletonD,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( 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))))) % 197.15/197.38 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_listrel__Nil,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Pow__bottom,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I14_J,axiom, % 197.15/197.38 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_wf__no__loop,axiom, % 197.15/197.38 ! [V_R_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_lessThan__0,axiom, % 197.15/197.38 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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_union__comp__emptyL,axiom, % 197.15/197.38 ! [V_B_2,V_C_2,V_A_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_union__comp__emptyR,axiom, % 197.15/197.38 ! [V_C_2,V_B_2,V_A_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__ext__compat,axiom, % 197.15/197.38 ! [V_S_2,V_R_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_sublist__empty,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Collect__conv__if,axiom, % 197.15/197.38 ! [T_b,V_a_2,V_P_2] : % 197.15/197.38 ( ( hBOOL(hAPP(V_P_2,V_a_2)) % 197.15/197.38 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(V_P_2,V_a_2)) % 197.15/197.38 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Collect__conv__if2,axiom, % 197.15/197.38 ! [T_b,V_a_2,V_P_2] : % 197.15/197.38 ( ( hBOOL(hAPP(V_P_2,V_a_2)) % 197.15/197.38 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(V_P_2,V_a_2)) % 197.15/197.38 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_singleton__conv,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_singleton__conv2,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_image__constant__conv,axiom, % 197.15/197.38 ! [V_c_2,T_c,T_b,V_A_2] : % 197.15/197.38 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => hAPP(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)) ) % 197.15/197.38 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => hAPP(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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding_Oempty,axiom, % 197.15/197.38 ! [V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd_OatLeastatMost__empty,axiom, % 197.15/197.38 ! [V_a_2,V_b_2] : % 197.15/197.38 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) % 197.15/197.38 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) % 197.15/197.38 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd_OatLeastatMost__empty__iff,axiom, % 197.15/197.38 ! [V_b_2,V_a_2] : % 197.15/197.38 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 197.15/197.38 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom, % 197.15/197.38 ! [V_b_2,V_a_2] : % 197.15/197.38 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) % 197.15/197.38 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_lexn_Osimps_I1_J,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_inf__compl__bot,axiom, % 197.15/197.38 ! [V_x,T_a] : % 197.15/197.38 ( class_Lattices_Oboolean__algebra(T_a) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_compl__inf__bot,axiom, % 197.15/197.38 ! [V_x,T_a] : % 197.15/197.38 ( class_Lattices_Oboolean__algebra(T_a) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_listrel__Cons,axiom, % 197.15/197.38 ! [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))))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_compl__top__eq,axiom, % 197.15/197.38 ! [T_a] : % 197.15/197.38 ( class_Lattices_Oboolean__algebra(T_a) % 197.15/197.38 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_compl__bot__eq,axiom, % 197.15/197.38 ! [T_a] : % 197.15/197.38 ( class_Lattices_Oboolean__algebra(T_a) % 197.15/197.38 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_listset_Osimps_I1_J,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_insert__Diff,axiom, % 197.15/197.38 ! [V_A_2,V_a_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Diff__insert__absorb,axiom, % 197.15/197.38 ! [V_A_2,V_x_2,T_b] : % 197.15/197.38 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__eq__0__iff,axiom, % 197.15/197.38 ! [V_A_2,T_b] : % 197.15/197.38 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.38 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_disjoint__eq__subset__Compl,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 <=> 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I15_J,axiom, % 197.15/197.38 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_wfE__pf,axiom, % 197.15/197.38 ! [V_A_2,V_R_2,T_b] : % 197.15/197.38 ( c_Wellfounded_Owf(T_b,V_R_2) % 197.15/197.38 => ( 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))) % 197.15/197.38 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_single__Diff__lessThan,axiom, % 197.15/197.38 ! [V_k_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I4_J,axiom, % 197.15/197.38 ! [V_u_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I2_J,axiom, % 197.15/197.38 ! [V_u_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I16_J,axiom, % 197.15/197.38 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I13_J,axiom, % 197.15/197.38 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I12_J,axiom, % 197.15/197.38 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I9_J,axiom, % 197.15/197.38 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I8_J,axiom, % 197.15/197.38 ! [V_u_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I7_J,axiom, % 197.15/197.38 ! [V_u_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_image__constant,axiom, % 197.15/197.38 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => hAPP(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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I3_J,axiom, % 197.15/197.38 ! [V_u_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I1_J,axiom, % 197.15/197.38 ! [V_u_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I10_J,axiom, % 197.15/197.38 ! [V_u_2,V_m_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I6_J,axiom, % 197.15/197.38 ! [V_u_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__int_I5_J,axiom, % 197.15/197.38 ! [V_u_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeastLessThan__singleton,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Comp,axiom, % 197.15/197.38 ! [V_R_2,V_d_2,V_Q_2,V_c_2,V_P_2,V_G_2,T_b] : % 197.15/197.38 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 197.15/197.38 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Q_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 197.15/197.38 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OSemi(V_c_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_hoare__derivs_OSkip,axiom, % 197.15/197.38 ! [V_P_2,V_G_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OSKIP),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_hoare__derivs_Oequations_I7_J,axiom, % 197.15/197.38 ! [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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atMost__0,axiom, % 197.15/197.38 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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom, % 197.15/197.38 ! [V_c_2,V_b_2,V_a_2] : % 197.15/197.38 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) % 197.15/197.38 <=> ( V_a_2 = V_b_2 % 197.15/197.38 & V_b_2 = V_c_2 ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd_OatLeastAtMost__singleton,axiom, % 197.15/197.38 ! [V_a_2] : c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom, % 197.15/197.38 ! [V_b_2,V_a_2] : % 197.15/197.38 ( V_a_2 = V_b_2 % 197.15/197.38 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeast__Suc,axiom, % 197.15/197.38 ! [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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_greaterThan__Suc,axiom, % 197.15/197.38 ! [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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_subset__insert__iff,axiom, % 197.15/197.38 ! [V_B_2,V_x_2,V_A_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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)) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_diff__single__insert,axiom, % 197.15/197.38 ! [V_B_2,V_x_2,V_A_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__gt__0__iff,axiom, % 197.15/197.38 ! [V_A_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_set__Cons__sing__Nil,axiom, % 197.15/197.38 ! [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(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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_equiv__class__self,axiom, % 197.15/197.38 ! [V_a_2,V_r_2,V_A_2,T_b] : % 197.15/197.38 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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)))))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_simp__from__to,axiom, % 197.15/197.38 ! [V_i_2,V_j_2] : % 197.15/197.38 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 197.15/197.38 => 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)) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_wmax__emptyI,axiom, % 197.15/197.38 ! [V_X_2] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_wmin__emptyI,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_smin__emptyI,axiom, % 197.15/197.38 ! [V_X_2] : % 197.15/197.38 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_smax__emptyI,axiom, % 197.15/197.38 ! [V_Y_2] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 197.15/197.38 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__un_I2_J,axiom, % 197.15/197.38 ! [V_u_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_quotient__disj,axiom, % 197.15/197.38 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 197.15/197.38 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.38 => ( 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))) % 197.15/197.38 => ( 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))) % 197.15/197.38 => ( V_X_2 = V_Y_2 % 197.15/197.38 | 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atMost__Int__atLeast,axiom, % 197.15/197.38 ! [V_na_2,T_b] : % 197.15/197.38 ( class_Orderings_Oorder(T_b) % 197.15/197.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_na_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_na_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_na_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_atLeastLessThanSuc,axiom, % 197.15/197.38 ! [V_na_2,V_m_2] : % 197.15/197.38 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.15/197.38 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_na_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.15/197.38 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__un_I1_J,axiom, % 197.15/197.38 ! [V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_set__minus__filter__out,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Image__singleton__iff,axiom, % 197.15/197.38 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] : % 197.15/197.38 ( 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)))))) % 197.15/197.38 <=> 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum_Oinsert__remove,axiom, % 197.15/197.38 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => 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)))))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum__Un__disjoint,axiom, % 197.15/197.38 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod_Oinsert__remove,axiom, % 197.15/197.38 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => 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)))))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__Un__disjoint,axiom, % 197.15/197.38 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod_Ounion__disjoint,axiom, % 197.15/197.38 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__insert,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => 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)))))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__Un__disjoint,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__Diff1__le,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__un_I6_J,axiom, % 197.15/197.38 ! [V_u_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 197.15/197.38 => 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) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Loop,axiom, % 197.15/197.38 ! [V_c_2,V_b_2,V_P_2,V_G_2,T_b] : % 197.15/197.38 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_b_2)),V_c_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 197.15/197.38 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,hAPP(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)))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_hoare__derivs_OIf,axiom, % 197.15/197.38 ! [V_d_2,V_Q_2,V_c_2,V_b_2,V_P_2,V_G_2,T_b] : % 197.15/197.38 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_b_2)),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 197.15/197.38 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,hAPP(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),V_b_2))),V_d_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 197.15/197.38 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OCond(V_b_2,V_c_2,V_d_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_psubset__insert__iff,axiom, % 197.15/197.38 ! [V_B_2,V_x_2,V_A_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 197.15/197.38 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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)) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum__diff1__nat,axiom, % 197.15/197.38 ! [V_f_2,V_A_2,V_a_2,T_b] : % 197.15/197.38 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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)) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__un_I5_J,axiom, % 197.15/197.38 ! [V_u_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 197.15/197.38 => 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) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_equiv__class__eq,axiom, % 197.15/197.38 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 197.15/197.38 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_equiv__intrel__iff,axiom, % 197.15/197.38 ! [V_y_2,V_x_2] : % 197.15/197.38 ( 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)))) % 197.15/197.38 <=> 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__un_I3_J,axiom, % 197.15/197.38 ! [V_u_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 197.15/197.38 => 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) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_quotientI,axiom, % 197.15/197.38 ! [V_r_2,V_A_2,V_x_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding_Oinsert__remove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding_Ounion,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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(c_Fun_Ocomp(T_c,T_c,T_c),hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_ivl__disj__un_I4_J,axiom, % 197.15/197.38 ! [V_u_2,V_l_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 197.15/197.38 => 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) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Field__insert,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Image__singleton,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_compl__unique,axiom, % 197.15/197.38 ! [V_y,V_x,T_a] : % 197.15/197.38 ( class_Lattices_Oboolean__algebra(T_a) % 197.15/197.38 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 197.15/197.38 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 197.15/197.38 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_wf__Un,axiom, % 197.15/197.38 ! [V_s_2,V_r_2,T_b] : % 197.15/197.38 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.38 => ( c_Wellfounded_Owf(T_b,V_s_2) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum__diff1_H,axiom, % 197.15/197.38 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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)))))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum_Oremove,axiom, % 197.15/197.38 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__add(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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)))))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum__diff1,axiom, % 197.15/197.38 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Oab__group__add(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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)) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setsum__diff1__ring,axiom, % 197.15/197.38 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Rings_Oring(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod_Oremove,axiom, % 197.15/197.38 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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)))))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__Suc__Diff1,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__Diff1__less,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__Diff2__less,axiom, % 197.15/197.38 ! [V_y_2,V_x_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 197.15/197.38 => 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))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card_Oinsert__remove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => 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)))))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_eq__equiv__class,axiom, % 197.15/197.38 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] : % 197.15/197.38 ( 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)))) % 197.15/197.38 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_eq__equiv__class__iff,axiom, % 197.15/197.38 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 197.15/197.38 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 197.15/197.38 => ( 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)))) % 197.15/197.38 <=> 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_equiv__class__eq__iff,axiom, % 197.15/197.38 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 197.15/197.38 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.38 => ( 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)) % 197.15/197.38 <=> ( 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)))) % 197.15/197.38 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_equiv__class__subset,axiom, % 197.15/197.38 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 197.15/197.38 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)))))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_eq__equiv__class__iff2,axiom, % 197.15/197.38 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 197.15/197.38 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 197.15/197.38 => ( 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) % 197.15/197.38 <=> 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding_Oremove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => hAPP(V_F_2,V_A_2) = hAPP(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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_setprod__diff1,axiom, % 197.15/197.38 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] : % 197.15/197.38 ( class_Fields_Ofield(T_c) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c) % 197.15/197.38 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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)) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card_Oremove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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)))))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__Diff__singleton,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__Diff__singleton__if,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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)) ) % 197.15/197.38 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_subset__equiv__class,axiom, % 197.15/197.38 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] : % 197.15/197.38 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.15/197.38 => ( 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)))))) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_the__elem__def,axiom, % 197.15/197.38 ! [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))))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Atom__def,axiom, % 197.15/197.38 ! [V_x_2,T_c,T_b] : hAPP(c_Datatype_OAtom(T_b,T_c),V_x_2) = hAPP(hAPP(c_Set_Oinsert(tc_Datatype_Onode(T_b,T_c)),hAPP(c_Datatype_OAbs__Node(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Nat_Onat,tc_sum(T_c,tc_Nat_Onat)),tc_sum(T_b,tc_Nat_Onat)),hAPP(c_COMBK(tc_sum(T_c,tc_Nat_Onat),tc_Nat_Onat),hAPP(c_Sum__Type_OInr(tc_Nat_Onat,T_c),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_x_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_bot__nat__def,axiom, % 197.15/197.38 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Atom__not__Scons,axiom, % 197.15/197.38 ! [V_N_2,V_M_2,V_a_2,T_c,T_b] : hAPP(c_Datatype_OAtom(T_b,T_c),V_a_2) != hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_2),V_N_2) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Scons__not__Atom,axiom, % 197.15/197.38 ! [V_a_2,V_N_2,V_M_2,T_c,T_b] : hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_2),V_N_2) != hAPP(c_Datatype_OAtom(T_b,T_c),V_a_2) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Atom__inject,axiom, % 197.15/197.38 ! [V_y_2,V_x_2,T_c,T_b] : % 197.15/197.38 ( hAPP(c_Datatype_OAtom(T_b,T_c),V_x_2) = hAPP(c_Datatype_OAtom(T_b,T_c),V_y_2) % 197.15/197.38 => V_x_2 = V_y_2 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Atom__Atom__eq,axiom, % 197.15/197.38 ! [V_b_2,V_a_2,T_c,T_b] : % 197.15/197.38 ( hAPP(c_Datatype_OAtom(T_b,T_c),V_a_2) = hAPP(c_Datatype_OAtom(T_b,T_c),V_b_2) % 197.15/197.38 <=> V_a_2 = V_b_2 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_bot__empty__eq2,axiom, % 197.15/197.38 ! [V_y_2,V_x_2,T_c,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 <=> 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)))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_the__elem__eq,axiom, % 197.15/197.38 ! [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 ). % 197.15/197.38 % 197.15/197.38 fof(fact_of__int,axiom, % 197.15/197.38 ! [V_j_2,V_i_2,T_b] : % 197.15/197.38 ( class_Rings_Oring__1(T_b) % 197.15/197.38 => 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)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_One__int__def,axiom, % 197.15/197.38 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))))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_bot2E,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_minus,axiom, % 197.15/197.38 ! [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))))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Zero__int__def,axiom, % 197.15/197.38 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))))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_int__def,axiom, % 197.15/197.38 ! [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))))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_add,axiom, % 197.15/197.38 ! [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))))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_nat,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_less,axiom, % 197.15/197.38 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 197.15/197.38 ( 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))))))) % 197.15/197.38 <=> 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_le,axiom, % 197.15/197.38 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 197.15/197.38 ( 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))))))) % 197.15/197.38 <=> 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_mult,axiom, % 197.15/197.38 ! [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))))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_sorted__list__of__set__remove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__one_Oremove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 197.15/197.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => 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)))))) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__one_Osingleton,axiom, % 197.15/197.38 ! [V_x_2,V_F_2,V_f_2,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 197.15/197.38 => 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 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_sorted__list__of__set__empty,axiom, % 197.15/197.38 ! [T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_sorted__list__of__set__range,axiom, % 197.15/197.38 ! [V_na_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_na_2)) = c_List_Oupt(V_m_2,V_na_2) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__one_Oinsert,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__one_Oinsert__remove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 197.15/197.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => 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)))))) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__one_Ounion__disjoint,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__one_Ounion__inter,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__image__simple_Oremove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 197.15/197.38 => 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)))))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_eq__Abs__Integ,axiom, % 197.15/197.38 ! [V_z_2] : % 197.15/197.38 ~ ! [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))))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__image__simple_Oempty,axiom, % 197.15/197.38 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 197.15/197.38 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__image__simple_Oinsert,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__image__simple_Ounion__inter,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 197.15/197.38 => 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)))))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 197.15/197.38 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_max__extp_Ointros,axiom, % 197.15/197.38 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 197.15/197.38 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( ! [B_x] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 197.15/197.38 => ? [B_xa] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 197.15/197.38 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) % 197.15/197.38 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 197.15/197.38 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( 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) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_flat__lub__def,axiom, % 197.15/197.38 ! [V_b_2,V_A_2,T_b] : % 197.15/197.38 ( ( 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))))) % 197.15/197.38 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 ) % 197.15/197.38 & ( ~ 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))))) % 197.15/197.38 => 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)))))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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))))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 197.15/197.38 ! [V_x_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => 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 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.15/197.38 => 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) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_Osup__Inf__absorb,axiom, % 197.15/197.38 ! [V_a_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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 ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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)) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => 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 ) % 197.15/197.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => 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)))))) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OInf__fin_Oremove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 ) % 197.15/197.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => 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)))))) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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))))))) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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))))))) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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))))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 197.15/197.38 ! [V_x_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => 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 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.15/197.38 => 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) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 197.15/197.38 ! [V_a_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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 ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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)) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => 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 ) % 197.15/197.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => 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)))))) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OSup__fin_Oremove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 ) % 197.15/197.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => 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)))))) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OInf__le__Sup,axiom, % 197.15/197.38 ! [V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_quotientE,axiom, % 197.15/197.38 ! [V_r_2,V_A_2,V_X_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => ~ ! [B_x] : % 197.15/197.38 ( 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)))) % 197.15/197.38 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 197.15/197.38 ! [V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( ! [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)))))) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 197.15/197.38 ! [V_A_2,T_b] : % 197.15/197.38 ( class_Orderings_Olinorder(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( ! [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)))))) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_trancl__insert,axiom, % 197.15/197.38 ! [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)))))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_r__into__rtrancl,axiom, % 197.15/197.38 ! [V_r_2,V_p_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl_Ortrancl__refl,axiom, % 197.15/197.38 ! [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))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_trancl__into__rtrancl,axiom, % 197.15/197.38 ! [V_r_2,V_b_2,V_a_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_listrel__rtrancl__refl,axiom, % 197.15/197.38 ! [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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__empty,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__trans,axiom, % 197.15/197.38 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => ( 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))) % 197.15/197.38 => 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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 197.15/197.38 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 197.15/197.38 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => ( 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))) % 197.15/197.38 => 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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__power,axiom, % 197.15/197.38 ! [V_R_2,V_p_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 197.15/197.38 <=> ? [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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rel__pow__imp__rtrancl,axiom, % 197.15/197.38 ! [V_R_2,V_na_2,V_p_2,T_b] : % 197.15/197.38 ( 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_na_2),V_R_2))) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__converse,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_trancl__rtrancl__absorb,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__trancl__absorb,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__idemp,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_refl__rtrancl,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Range__rtrancl,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Domain__rtrancl,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__r__diff__Id,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__Un__subset,axiom, % 197.15/197.38 ! [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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Image__closed__trancl,axiom, % 197.15/197.38 ! [V_X_2,V_r_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__Un__rtrancl,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__idemp__self__comp,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_r__comp__rtrancl__eq,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 197.15/197.38 ! [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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__mono,axiom, % 197.15/197.38 ! [V_s_2,V_r_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__subset,axiom, % 197.15/197.38 ! [V_S_2,V_R_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => ( 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))) % 197.15/197.38 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__subset__rtrancl,axiom, % 197.15/197.38 ! [V_s_2,V_r_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_trancl__unfold__left,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_trancl__unfold__right,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__reflcl,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__reflcl__absorb,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_in__rtrancl__UnI,axiom, % 197.15/197.38 ! [V_S_2,V_R_2,V_x_2,T_b] : % 197.15/197.38 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 197.15/197.38 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) ) % 197.15/197.38 => 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)))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 197.15/197.38 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__trancl__trancl,axiom, % 197.15/197.38 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => ( 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))) % 197.15/197.38 => 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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_trancl__rtrancl__trancl,axiom, % 197.15/197.38 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => ( 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))) % 197.15/197.38 => 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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__into__trancl1,axiom, % 197.15/197.38 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtranclD,axiom, % 197.15/197.38 ! [V_R_2,V_b_2,V_a_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => ( V_a_2 = V_b_2 % 197.15/197.38 | ( V_a_2 != V_b_2 % 197.15/197.38 & 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))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__into__trancl2,axiom, % 197.15/197.38 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => ( 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))) % 197.15/197.38 => 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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__eq__or__trancl,axiom, % 197.15/197.38 ! [V_R_2,V_y_2,V_x_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 <=> ( V_x_2 = V_y_2 % 197.15/197.38 | ( V_x_2 != V_y_2 % 197.15/197.38 & 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))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__converseI,axiom, % 197.15/197.38 ! [V_r_2,V_x_2,V_y_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => 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)))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__converseD,axiom, % 197.15/197.38 ! [V_r_2,V_y_2,V_x_2,T_b] : % 197.15/197.38 ( 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)))) % 197.15/197.38 => 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_listrel__rtrancl__trans,axiom, % 197.15/197.38 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_reflcl__trancl,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_trancl__reflcl,axiom, % 197.15/197.38 ! [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) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__unfold,axiom, % 197.15/197.38 ! [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)) ). % 197.15/197.38 % 197.15/197.38 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 197.15/197.38 ! [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)))) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Not__Domain__rtrancl,axiom, % 197.15/197.38 ! [V_y_2,V_R_2,V_x_2,T_b] : % 197.15/197.38 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2))) % 197.15/197.38 => ( 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))) % 197.15/197.38 <=> V_x_2 = V_y_2 ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_acc__downwards__aux,axiom, % 197.15/197.38 ! [V_r_2,V_a_2,V_b_2,T_b] : % 197.15/197.38 ( 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))) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_acc__downwards,axiom, % 197.15/197.38 ! [V_b_2,V_r_2,V_a_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 197.15/197.38 => ( 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))) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_wf__insert,axiom, % 197.15/197.38 ! [V_r_2,V_x_2,V_y_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 <=> ( c_Wellfounded_Owf(T_b,V_r_2) % 197.15/197.38 & ~ 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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 197.15/197.38 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__listrel1__eq__len,axiom, % 197.15/197.38 ! [V_r_2,V_y_2,V_x_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 197.15/197.38 => 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) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_acyclic__insert,axiom, % 197.15/197.38 ! [V_r_2,V_x_2,V_y_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 197.15/197.38 & ~ 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))) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_listrel__reflcl__if__listrel1,axiom, % 197.15/197.38 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 197.15/197.38 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 197.15/197.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 197.15/197.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_rtrancl__Int__subset,axiom, % 197.15/197.38 ! [V_r_2,V_s_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_pred__nat__trancl__eq__le,axiom, % 197.15/197.38 ! [V_na_2,V_m_2] : % 197.15/197.38 ( 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_na_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))) % 197.15/197.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_irrefl__tranclI,axiom, % 197.15/197.38 ! [V_x_2,V_r_2,T_b] : % 197.15/197.38 ( 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)) % 197.15/197.38 => ~ 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))) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_card__Suc__eq,axiom, % 197.15/197.38 ! [V_k_2,V_A_2,T_b] : % 197.15/197.38 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 197.15/197.38 <=> ? [B_b,B_B] : % 197.15/197.38 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B) % 197.15/197.38 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B)) % 197.15/197.38 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2 % 197.15/197.38 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.15/197.38 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_inf__Sup1__distrib,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Lattices_Odistrib__lattice(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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))))) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Sup__fin_Osingleton,axiom, % 197.15/197.38 ! [V_x_2,T_b] : % 197.15/197.38 ( class_Lattices_Olattice(T_b) % 197.15/197.38 => 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 ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Sup__fin_Oin__idem,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Lattices_Olattice(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => 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) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_inf__Sup__absorb,axiom, % 197.15/197.38 ! [V_a_2,V_A_2,T_b] : % 197.15/197.38 ( class_Lattices_Olattice(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.15/197.38 => 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 ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Sup__fin_Oinsert__idem,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Lattices_Olattice(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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)) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Sup__fin_Osubset__idem,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Lattices_Olattice(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.15/197.38 => 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) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Sup__fin_Ounion__idem,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Lattices_Olattice(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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)) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Sup__fin_Oinsert,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Lattices_Olattice(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Sup__fin_Oinsert__remove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Lattices_Olattice(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => 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 ) % 197.15/197.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.15/197.38 => 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)))))) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Lattices_Olattice(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Sup__fin_Ounion__inter,axiom, % 197.15/197.38 ! [V_B_2,V_A_2,T_b] : % 197.15/197.38 ( class_Lattices_Olattice(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.15/197.38 => ( 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)) % 197.15/197.38 => 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)) ) ) ) ) ). % 197.15/197.38 % 197.15/197.38 fof(fact_Sup__fin_Oremove,axiom, % 197.15/197.38 ! [V_x_2,V_A_2,T_b] : % 197.15/197.38 ( class_Lattices_Olattice(T_b) % 197.15/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.15/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.15/197.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.38 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 ) % 197.39/197.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.38 => 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)))))) ) ) ) ) ) ). % 197.39/197.38 % 197.39/197.38 fof(fact_inf__Sup2__distrib,axiom, % 197.39/197.38 ! [V_B_2,V_A_2,T_b] : % 197.39/197.38 ( class_Lattices_Odistrib__lattice(T_b) % 197.39/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.38 => 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))))))) ) ) ) ) ) ). % 197.39/197.38 % 197.39/197.38 fof(fact_Sup__fin_Oclosed,axiom, % 197.39/197.38 ! [V_A_2,T_b] : % 197.39/197.38 ( class_Lattices_Olattice(T_b) % 197.39/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.38 => ( ! [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)))))) % 197.39/197.38 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 197.39/197.38 % 197.39/197.38 fof(fact_sup__Inf1__distrib,axiom, % 197.39/197.38 ! [V_x_2,V_A_2,T_b] : % 197.39/197.38 ( class_Lattices_Odistrib__lattice(T_b) % 197.39/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.38 => 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))))) ) ) ) ). % 197.39/197.38 % 197.39/197.38 fof(fact_Inf__fin_Osingleton,axiom, % 197.39/197.38 ! [V_x_2,T_b] : % 197.39/197.38 ( class_Lattices_Olattice(T_b) % 197.39/197.38 => 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 ) ). % 197.39/197.38 % 197.39/197.38 fof(fact_sup__Inf__absorb,axiom, % 197.39/197.38 ! [V_a_2,V_A_2,T_b] : % 197.39/197.38 ( class_Lattices_Olattice(T_b) % 197.39/197.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.38 => 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 ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Inf__fin_Oin__idem,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Lattices_Olattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => 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) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Inf__fin_Oinsert__idem,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Lattices_Olattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Inf__fin_Osubset__idem,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( class_Lattices_Olattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.39/197.39 => 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) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Inf__fin_Ounion__idem,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( class_Lattices_Olattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.39 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Inf__le__Sup,axiom, % 197.39/197.39 ! [V_A_2,T_b] : % 197.39/197.39 ( class_Lattices_Olattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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))) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Inf__fin_Oinsert,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Lattices_Olattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Inf__fin_Oinsert__remove,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Lattices_Olattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.39 => 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 ) % 197.39/197.39 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.39 => 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)))))) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Inf__fin_Ounion__inter,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( class_Lattices_Olattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.39 => ( 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)) % 197.39/197.39 => 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)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( class_Lattices_Olattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.39 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( 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)) % 197.39/197.39 => 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)) ) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Inf__fin_Oremove,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Lattices_Olattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.39 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 ) % 197.39/197.39 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.39 => 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)))))) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sup__Inf2__distrib,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( class_Lattices_Odistrib__lattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.39 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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))))))) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Inf__fin_Oclosed,axiom, % 197.39/197.39 ! [V_A_2,T_b] : % 197.39/197.39 ( class_Lattices_Olattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( ! [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)))))) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_add__Min__commute,axiom, % 197.39/197.39 ! [V_k_2,V_N_2,T_b] : % 197.39/197.39 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 197.39/197.39 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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))))) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min_Osingleton,axiom, % 197.39/197.39 ! [V_x_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => 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 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min__le,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => 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)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min__in,axiom, % 197.39/197.39 ! [V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min_Oin__idem,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => 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) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min__antimono,axiom, % 197.39/197.39 ! [V_N_2,V_M_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 197.39/197.39 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 197.39/197.39 => 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))) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min__insert,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min_Osubset__idem,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.39/197.39 => 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) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min__Un,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.39 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min_Oinsert,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min_Oinsert__remove,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.39 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 197.39/197.39 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.39 => 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)))))) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min_Ounion__disjoint,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.39 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( 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)) % 197.39/197.39 => 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)) ) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min_Ounion__inter,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.39 => ( 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)) % 197.39/197.39 => 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)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min_Oremove,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.39 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) % 197.39/197.39 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.39 => 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)))))) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Min_Oclosed,axiom, % 197.39/197.39 ! [V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( ! [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)))))) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_add__Max__commute,axiom, % 197.39/197.39 ! [V_k_2,V_N_2,T_b] : % 197.39/197.39 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 197.39/197.39 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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))))) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max_Osingleton,axiom, % 197.39/197.39 ! [V_x_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => 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 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max__ge,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => 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))) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max__in,axiom, % 197.39/197.39 ! [V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max_Oin__idem,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => 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) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max__mono,axiom, % 197.39/197.39 ! [V_N_2,V_M_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 197.39/197.39 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 197.39/197.39 => 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))) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max__insert,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max_Osubset__idem,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.39/197.39 => 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) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max__Un,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.39 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max_Oinsert,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max_Oinsert__remove,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.39 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 197.39/197.39 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.39 => 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)))))) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max_Ounion__disjoint,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.39 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( 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)) % 197.39/197.39 => 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)) ) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max_Ounion__inter,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.39 => ( 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)) % 197.39/197.39 => 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)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_minus__Min__eq__Max,axiom, % 197.39/197.39 ! [V_S_2,T_b] : % 197.39/197.39 ( class_Groups_Olinordered__ab__group__add(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.39/197.39 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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(hAPP(c_Set_Oimage(T_b,T_b),c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_minus__Max__eq__Min,axiom, % 197.39/197.39 ! [V_S_2,T_b] : % 197.39/197.39 ( class_Groups_Olinordered__ab__group__add(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.39/197.39 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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(hAPP(c_Set_Oimage(T_b,T_b),c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max_Oremove,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.39 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) % 197.39/197.39 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 197.39/197.39 => 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)))))) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Max_Oclosed,axiom, % 197.39/197.39 ! [V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( ! [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)))))) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__list__update,axiom, % 197.39/197.39 ! [V_i_2,V_a_2,V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => ( ~ 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)))))) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct_Osimps_I1_J,axiom, % 197.39/197.39 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__butlast,axiom, % 197.39/197.39 ! [T_a,V_xs] : % 197.39/197.39 ( V_xs != c_List_Olist_ONil(T_a) % 197.39/197.39 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__take,axiom, % 197.39/197.39 ! [V_i,V_xs,T_a] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__drop,axiom, % 197.39/197.39 ! [V_i,V_xs,T_a] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__filter,axiom, % 197.39/197.39 ! [V_P_2,V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__zipI2,axiom, % 197.39/197.39 ! [V_xs,T_b,V_ys,T_a] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__zipI1,axiom, % 197.39/197.39 ! [V_ys,T_b,V_xs,T_a] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__insert,axiom, % 197.39/197.39 ! [V_x,V_xs,T_a] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__tl,axiom, % 197.39/197.39 ! [V_xs,T_a] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__n__lists,axiom, % 197.39/197.39 ! [V_n,V_xs,T_a] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__sublistI,axiom, % 197.39/197.39 ! [V_I_2,V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct1__rotate,axiom, % 197.39/197.39 ! [V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2))) % 197.39/197.39 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__product,axiom, % 197.39/197.39 ! [V_ys,T_b,V_xs,T_a] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 197.39/197.39 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__rotate,axiom, % 197.39/197.39 ! [V_xs_2,V_na_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2))) % 197.39/197.39 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__upto,axiom, % 197.39/197.39 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__remove1,axiom, % 197.39/197.39 ! [V_x,V_xs,T_a] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__upt,axiom, % 197.39/197.39 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__set__sublists,axiom, % 197.39/197.39 ! [V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => 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)))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct_Osimps_I2_J,axiom, % 197.39/197.39 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) % 197.39/197.39 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__card,axiom, % 197.39/197.39 ! [V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_card__distinct,axiom, % 197.39/197.39 ! [V_xs_2,T_b] : % 197.39/197.39 ( 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) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__conv__nth,axiom, % 197.39/197.39 ! [V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 <=> ! [B_i] : % 197.39/197.39 ( 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))) % 197.39/197.39 => ! [B_j] : % 197.39/197.39 ( 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))) % 197.39/197.39 => ( B_i != B_j % 197.39/197.39 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_nth__eq__iff__index__eq,axiom, % 197.39/197.39 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => ( 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))) % 197.39/197.39 => ( 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))) % 197.39/197.39 => ( 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) % 197.39/197.39 <=> V_i_2 = V_j_2 ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__listsum__conv__Setsum,axiom, % 197.39/197.39 ! [V_xs_2,T_b] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__add(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__append,axiom, % 197.39/197.39 ! [V_ys_2,V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 197.39/197.39 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 197.39/197.39 & 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 197.39/197.39 ! [V_f_2,V_xs_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__add(T_c) % 197.39/197.39 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_filter__in__sublist,axiom, % 197.39/197.39 ! [V_s_2,V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_set__remove1__eq,axiom, % 197.39/197.39 ! [V_x_2,V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => 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)))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Nitpick_Osetsum_H__def,axiom, % 197.39/197.39 ! [V_f_2,V_A_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__add(T_c) % 197.39/197.39 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => 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))))) ) % 197.39/197.39 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Nitpick_Ocard_H__def,axiom, % 197.39/197.39 ! [V_A_2,T_b] : % 197.39/197.39 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => 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)))) ) % 197.39/197.39 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_max__extp_Osimps,axiom, % 197.39/197.39 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 197.39/197.39 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 197.39/197.39 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 197.39/197.39 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 197.39/197.39 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 & ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 197.39/197.39 => ? [B_xa] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 197.39/197.39 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__list__of__set__insert,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => 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)))))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_insort__not__Nil,axiom, % 197.39/197.39 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] : % 197.39/197.39 ( class_Orderings_Olinorder(T_c) % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_insort__key_Osimps_I2_J,axiom, % 197.39/197.39 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( ( 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))) % 197.39/197.39 => 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)) ) % 197.39/197.39 & ( ~ 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))) % 197.39/197.39 => 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)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_set__insort,axiom, % 197.39/197.39 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 197.39/197.39 ( class_Orderings_Olinorder(T_c) % 197.39/197.39 => 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)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_length__insort,axiom, % 197.39/197.39 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 197.39/197.39 ( class_Orderings_Olinorder(T_c) % 197.39/197.39 => 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)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_insort__key_Osimps_I1_J,axiom, % 197.39/197.39 ! [V_x_2,V_f_2,T_b,T_c] : % 197.39/197.39 ( class_Orderings_Olinorder(T_c) % 197.39/197.39 => 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)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_filter__insort__triv,axiom, % 197.39/197.39 ! [V_xs_2,V_f_2,T_b,V_x_2,V_P_2,T_c] : % 197.39/197.39 ( class_Orderings_Olinorder(T_c) % 197.39/197.39 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 197.39/197.39 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_insort__left__comm,axiom, % 197.39/197.39 ! [V_xs_2,V_y_2,V_x_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => 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)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_insort__key__left__comm,axiom, % 197.39/197.39 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_remove1__insort,axiom, % 197.39/197.39 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => 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 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__insort,axiom, % 197.39/197.39 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 197.39/197.39 ( class_Orderings_Olinorder(T_c) % 197.39/197.39 => ( 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))) % 197.39/197.39 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_insort__key__remove1,axiom, % 197.39/197.39 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] : % 197.39/197.39 ( class_Orderings_Olinorder(T_c) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 197.39/197.39 => ( 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 % 197.39/197.39 => 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 ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_insort__insert__insort__key,axiom, % 197.39/197.39 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted_ONil,axiom, % 197.39/197.39 ! [T_a] : % 197.39/197.39 ( class_Orderings_Olinorder(T_a) % 197.39/197.39 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__single,axiom, % 197.39/197.39 ! [V_x,T_a] : % 197.39/197.39 ( class_Orderings_Olinorder(T_a) % 197.39/197.39 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__insort__key,axiom, % 197.39/197.39 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( 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))) % 197.39/197.39 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__insort,axiom, % 197.39/197.39 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( 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)) % 197.39/197.39 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__upt,axiom, % 197.39/197.39 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__remove1,axiom, % 197.39/197.39 ! [V_a,V_xs,T_a] : % 197.39/197.39 ( class_Orderings_Olinorder(T_a) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 197.39/197.39 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__upto,axiom, % 197.39/197.39 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__insort__insert,axiom, % 197.39/197.39 ! [V_x_2,V_xs_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__tl,axiom, % 197.39/197.39 ! [V_xs,T_a] : % 197.39/197.39 ( class_Orderings_Olinorder(T_a) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 197.39/197.39 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__same,axiom, % 197.39/197.39 ! [V_xs_2,V_g_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => 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)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__drop,axiom, % 197.39/197.39 ! [V_n,V_xs,T_a] : % 197.39/197.39 ( class_Orderings_Olinorder(T_a) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 197.39/197.39 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__take,axiom, % 197.39/197.39 ! [V_n,V_xs,T_a] : % 197.39/197.39 ( class_Orderings_Olinorder(T_a) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 197.39/197.39 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__butlast,axiom, % 197.39/197.39 ! [V_xs,T_a] : % 197.39/197.39 ( class_Orderings_Olinorder(T_a) % 197.39/197.39 => ( V_xs != c_List_Olist_ONil(T_a) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 197.39/197.39 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted_Oequations_I1_J,axiom, % 197.39/197.39 ! [T_a] : % 197.39/197.39 ( class_Orderings_Olinorder(T_a) % 197.39/197.39 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__many,axiom, % 197.39/197.39 ! [V_zs,V_y,V_x,T_a] : % 197.39/197.39 ( class_Orderings_Olinorder(T_a) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 197.39/197.39 => 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))) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__many__eq,axiom, % 197.39/197.39 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( 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))) % 197.39/197.39 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 197.39/197.39 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__map__same,axiom, % 197.39/197.39 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__map__remove1,axiom, % 197.39/197.39 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__filter,axiom, % 197.39/197.39 ! [V_P_2,V_xs_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 197.39/197.39 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__insort__insert__key,axiom, % 197.39/197.39 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__insort__insert,axiom, % 197.39/197.39 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] : % 197.39/197.39 ( class_Orderings_Olinorder(T_c) % 197.39/197.39 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__distinct__set__unique,axiom, % 197.39/197.39 ! [V_ys_2,V_xs_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 197.39/197.39 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 197.39/197.39 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 197.39/197.39 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 197.39/197.39 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__Cons,axiom, % 197.39/197.39 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 197.39/197.39 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 197.39/197.39 & ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__append,axiom, % 197.39/197.39 ! [V_ys_2,V_xs_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 197.39/197.39 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 197.39/197.39 & c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 197.39/197.39 & ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 => ! [B_xa] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2))) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_filter__insort,axiom, % 197.39/197.39 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 197.39/197.39 => ( hBOOL(hAPP(V_P_2,V_x_2)) % 197.39/197.39 => hAPP(c_List_Ofilter(T_c,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted_Oequations_I2_J,axiom, % 197.39/197.39 ! [V_a1_2,V_a2_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2)) % 197.39/197.39 <=> ( ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2))) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) ) % 197.39/197.39 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_insort__insert__triv,axiom, % 197.39/197.39 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_set__insort__insert,axiom, % 197.39/197.39 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => 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)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__list__of__set,axiom, % 197.39/197.39 ! [V_A_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2 % 197.39/197.39 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) % 197.39/197.39 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_insort__remove1,axiom, % 197.39/197.39 ! [V_xs_2,V_a_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 197.39/197.39 => 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 ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__equals__nth__mono,axiom, % 197.39/197.39 ! [V_xs_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 197.39/197.39 <=> ! [B_j] : % 197.39/197.39 ( 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))) % 197.39/197.39 => ! [B_i] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 197.39/197.39 => 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))) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__nth__mono,axiom, % 197.39/197.39 ! [V_j,V_i,V_xs,T_a] : % 197.39/197.39 ( class_Orderings_Olinorder(T_a) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.39/197.39 => ( 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))) % 197.39/197.39 => 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))) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_insort__insert__key__triv,axiom, % 197.39/197.39 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 197.39/197.39 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_insort__insert__insort,axiom, % 197.39/197.39 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_transpose__column,axiom, % 197.39/197.39 ! [V_i_2,V_xs_2,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 => ( 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))) % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_nth__nth__transpose__sorted,axiom, % 197.39/197.39 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 => ( 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)))) % 197.39/197.39 => ( 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)))) % 197.39/197.39 => 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) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__rev,axiom, % 197.39/197.39 ! [V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2))) % 197.39/197.39 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__map,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__concat,axiom, % 197.39/197.39 ! [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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__singleton__conv,axiom, % 197.39/197.39 ! [V_x_2,V_xs_2,T_b] : % 197.39/197.39 ( 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)) % 197.39/197.39 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_singleton__rev__conv,axiom, % 197.39/197.39 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.39 ( 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) % 197.39/197.39 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev_Osimps_I1_J,axiom, % 197.39/197.39 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Nil__is__rev__conv,axiom, % 197.39/197.39 ! [V_xs_2,T_b] : % 197.39/197.39 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2) % 197.39/197.39 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__is__Nil__conv,axiom, % 197.39/197.39 ! [V_xs_2,T_b] : % 197.39/197.39 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 197.39/197.39 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__filter,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Orev(T_b),V_xs_2)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_zip__rev,axiom, % 197.39/197.39 ! [V_ys,T_b,V_xs,T_a] : % 197.39/197.39 ( 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) % 197.39/197.39 => 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)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_set__rev,axiom, % 197.39/197.39 ! [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) ). % 197.39/197.39 % 197.39/197.39 fof(fact_list__all2__rev,axiom, % 197.39/197.39 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 197.39/197.39 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2)) % 197.39/197.39 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_list__all2__rev1,axiom, % 197.39/197.39 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 197.39/197.39 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2) % 197.39/197.39 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_listsum__rev,axiom, % 197.39/197.39 ! [V_xs,T_a] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__add(T_a) % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__rev__ident,axiom, % 197.39/197.39 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__swap,axiom, % 197.39/197.39 ! [V_ys_2,V_xs_2,T_b] : % 197.39/197.39 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2 % 197.39/197.39 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__is__rev__conv,axiom, % 197.39/197.39 ! [V_ys_2,V_xs_2,T_b] : % 197.39/197.39 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2) % 197.39/197.39 <=> V_xs_2 = V_ys_2 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_length__rev,axiom, % 197.39/197.39 ! [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) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__append,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__eq__Cons__iff,axiom, % 197.39/197.39 ! [V_ys_2,V_y_2,V_xs_2,T_b] : % 197.39/197.39 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 197.39/197.39 <=> 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev_Osimps_I2_J,axiom, % 197.39/197.39 ! [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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_last__rev,axiom, % 197.39/197.39 ! [T_a,V_xs] : % 197.39/197.39 ( V_xs != c_List_Olist_ONil(T_a) % 197.39/197.39 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_hd__rev,axiom, % 197.39/197.39 ! [T_a,V_xs] : % 197.39/197.39 ( V_xs != c_List_Olist_ONil(T_a) % 197.39/197.39 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__transpose,axiom, % 197.39/197.39 ! [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)))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__take,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__drop,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rotate__rev,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__nth,axiom, % 197.39/197.39 ! [V_xs,T_a,V_n] : % 197.39/197.39 ( 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))) % 197.39/197.39 => 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rev__update,axiom, % 197.39/197.39 ! [V_y,V_xs,T_a,V_k] : % 197.39/197.39 ( 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))) % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__rev__nth__mono,axiom, % 197.39/197.39 ! [V_j,V_i,V_xs,T_a] : % 197.39/197.39 ( class_Orderings_Olinorder(T_a) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 197.39/197.39 => ( 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))) % 197.39/197.39 => 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))) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_foldr__max__sorted,axiom, % 197.39/197.39 ! [V_y_2,V_xs_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2)) % 197.39/197.39 => ( ( V_xs_2 = c_List_Olist_ONil(T_b) % 197.39/197.39 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 ) % 197.39/197.39 & ( V_xs_2 != c_List_Olist_ONil(T_b) % 197.39/197.39 => 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) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_length__transpose__sorted,axiom, % 197.39/197.39 ! [V_xs_2,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 197.39/197.39 => 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) ) % 197.39/197.39 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b)) % 197.39/197.39 => 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))) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_transpose__column__length,axiom, % 197.39/197.39 ! [V_i_2,V_xs_2,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 => ( 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))) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_transpose__transpose,axiom, % 197.39/197.39 ! [V_xs_2,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__nth__monoI,axiom, % 197.39/197.39 ! [V_xs,T_a] : % 197.39/197.39 ( class_Orderings_Olinorder(T_a) % 197.39/197.39 => ( ! [B_i,B_j] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 197.39/197.39 => ( 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))) % 197.39/197.39 => 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))) ) ) % 197.39/197.39 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__takeWhile,axiom, % 197.39/197.39 ! [V_P_2,V_xs_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 197.39/197.39 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_takeWhile__eq__all__conv,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,T_b] : % 197.39/197.39 ( c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = V_xs_2 % 197.39/197.39 <=> ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_takeWhile__eq__take,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ). % 197.39/197.39 % 197.39/197.39 fof(fact_takeWhile__tail,axiom, % 197.39/197.39 ! [V_l_2,V_xs_2,T_b,V_x_2,V_P_2] : % 197.39/197.39 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 197.39/197.39 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_length__takeWhile__le,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_takeWhile_Osimps_I2_J,axiom, % 197.39/197.39 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 197.39/197.39 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 197.39/197.39 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) % 197.39/197.39 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 197.39/197.39 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_set__takeWhileD,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,V_x_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_zip__takeWhile__fst,axiom, % 197.39/197.39 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_zip__takeWhile__snd,axiom, % 197.39/197.39 ! [V_ys_2,V_P_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_P_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_takeWhile_Osimps_I1_J,axiom, % 197.39/197.39 ! [V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__takeWhile,axiom, % 197.39/197.39 ! [V_P_2,V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_takeWhile__map,axiom, % 197.39/197.39 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c),V_P_2),V_f_2),V_xs_2)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_takeWhile__append1,axiom, % 197.39/197.39 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 197.39/197.39 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_nth__length__takeWhile,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 197.39/197.39 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_takeWhile__nth,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,T_b,V_j_2] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) % 197.39/197.39 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_takeWhile__not__last,axiom, % 197.39/197.39 ! [T_b,V_xs_2] : % 197.39/197.39 ( V_xs_2 != c_List_Olist_ONil(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 197.39/197.39 ! [V_ta_2,V_xs_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( 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))) % 197.39/197.39 => 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_ta_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_ta_2)),V_f_2),V_xs_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_takeWhile__neq__rev,axiom, % 197.39/197.39 ! [V_x_2,V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_dropWhile__neq__rev,axiom, % 197.39/197.39 ! [V_x_2,V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__dropWhile,axiom, % 197.39/197.39 ! [V_P_2,V_xs_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 197.39/197.39 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_dropWhile__eq__Nil__conv,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,T_b] : % 197.39/197.39 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = c_List_Olist_ONil(T_b) % 197.39/197.39 <=> ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_length__dropWhile__le,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_dropWhile_Osimps_I1_J,axiom, % 197.39/197.39 ! [V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 197.39/197.39 % 197.39/197.39 fof(fact_dropWhile_Osimps_I2_J,axiom, % 197.39/197.39 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 197.39/197.39 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 197.39/197.39 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_P_2,V_xs_2) ) % 197.39/197.39 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 197.39/197.39 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_sorted__dropWhile,axiom, % 197.39/197.39 ! [V_P_2,V_xs_2,T_b] : % 197.39/197.39 ( class_Orderings_Olinorder(T_b) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 197.39/197.39 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_P_2,V_xs_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_takeWhile__dropWhile__id,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),c_List_OdropWhile(T_b,V_P_2,V_xs_2)) = V_xs_2 ). % 197.39/197.39 % 197.39/197.39 fof(fact_hd__dropWhile,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,T_b] : % 197.39/197.39 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) != c_List_Olist_ONil(T_b) % 197.39/197.39 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_dropWhile__map,axiom, % 197.39/197.39 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c),V_P_2),V_f_2),V_xs_2)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_dropWhile__append1,axiom, % 197.39/197.39 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 197.39/197.39 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_ys_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_dropWhile__eq__Cons__conv,axiom, % 197.39/197.39 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_b] : % 197.39/197.39 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 197.39/197.39 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) % 197.39/197.39 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_dropWhile__eq__drop,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ). % 197.39/197.39 % 197.39/197.39 fof(fact_dropWhile__nth,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,T_b,V_j_2] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) % 197.39/197.39 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 197.39/197.39 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] : % 197.39/197.39 ( 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)) % 197.39/197.39 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 197.39/197.39 | ? [B_x,B_y] : % 197.39/197.39 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 197.39/197.39 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2)) % 197.39/197.39 & 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) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_takeWhile__eq__filter,axiom, % 197.39/197.39 ! [V_xs_2,V_P_2,T_b] : % 197.39/197.39 ( ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) % 197.39/197.39 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 197.39/197.39 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_card__quotient__disjoint,axiom, % 197.39/197.39 ! [V_r_2,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( 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) % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_takeWhile__eq__take__P__nth,axiom, % 197.39/197.39 ! [V_P_2,V_xs_2,T_b,V_na_2] : % 197.39/197.39 ( ! [B_i] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 197.39/197.39 => ( 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))) % 197.39/197.39 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) % 197.39/197.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 197.39/197.39 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) % 197.39/197.39 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__empty,axiom, % 197.39/197.39 ! [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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__uminus,axiom, % 197.39/197.39 ! [V_A_2,T_b] : % 197.39/197.39 ( class_Groups_Oordered__ab__group__add(T_b) % 197.39/197.39 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__mapI,axiom, % 197.39/197.39 ! [V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_distinct__map,axiom, % 197.39/197.39 ! [V_xs_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 197.39/197.39 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 197.39/197.39 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setsum__reindex__id,axiom, % 197.39/197.39 ! [V_B_2,V_f_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__add(T_c) % 197.39/197.39 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 197.39/197.39 => 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(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_B_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__mapD,axiom, % 197.39/197.39 ! [V_f_2,T_c,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__map,axiom, % 197.39/197.39 ! [V_f_2,T_c,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_map__injective,axiom, % 197.39/197.39 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 197.39/197.39 ( 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) % 197.39/197.39 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 197.39/197.39 => V_xs_2 = V_ys_2 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__map__eq__map,axiom, % 197.39/197.39 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => ( 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) % 197.39/197.39 <=> V_xs_2 = V_ys_2 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_map__inj__on,axiom, % 197.39/197.39 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 197.39/197.39 ( 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) % 197.39/197.39 => ( 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))) % 197.39/197.39 => V_xs_2 = V_ys_2 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__map__eq__map,axiom, % 197.39/197.39 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 => ( 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) % 197.39/197.39 <=> V_xs_2 = V_ys_2 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_pigeonhole,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))) % 197.39/197.39 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__image__subset__iff,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_B_2))) % 197.39/197.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__image__Int,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 197.39/197.39 => hAPP(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(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_B_2)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_image__Int,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => hAPP(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(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_B_2)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_subset__inj__on,axiom, % 197.39/197.39 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.39/197.39 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__diff,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => 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)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__strict__subset,axiom, % 197.39/197.39 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_B_2))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__Un__image__eq__iff,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( 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)) % 197.39/197.39 => ( hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_B_2) % 197.39/197.39 <=> V_A_2 = V_B_2 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__image__eq__iff,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => ( hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_B_2) % 197.39/197.39 <=> V_A_2 = V_B_2 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_card__image,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__imageD,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2))) % 197.39/197.39 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_injD,axiom, % 197.39/197.39 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 197.39/197.39 => V_x_2 = V_y_2 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__eq,axiom, % 197.39/197.39 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 197.39/197.39 <=> V_x_2 = V_y_2 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__fun,axiom, % 197.39/197.39 ! [T_d,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__Int,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__def,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 <=> ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.39 => ! [B_xa] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 197.39/197.39 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 197.39/197.39 => B_x = B_xa ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__id2,axiom, % 197.39/197.39 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__id,axiom, % 197.39/197.39 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__onD,axiom, % 197.39/197.39 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 197.39/197.39 => V_x_2 = V_y_2 ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__iff,axiom, % 197.39/197.39 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 197.39/197.39 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 197.39/197.39 <=> V_x_2 = V_y_2 ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__contraD,axiom, % 197.39/197.39 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( V_x_2 != V_y_2 % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 197.39/197.39 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__UNIV__inj__surj,axiom, % 197.39/197.39 ! [V_f_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 197.39/197.39 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => hAPP(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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__UNIV__surj__inj,axiom, % 197.39/197.39 ! [V_f_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 197.39/197.39 => ( hAPP(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)) % 197.39/197.39 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__surj__inj,axiom, % 197.39/197.39 ! [V_f_2,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oimage(T_b,T_b),V_f_2),V_A_2))) % 197.39/197.39 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_endo__inj__surj,axiom, % 197.39/197.39 ! [V_f_2,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(T_b,T_b),V_f_2),V_A_2)),V_A_2)) % 197.39/197.39 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) % 197.39/197.39 => hAPP(hAPP(c_Set_Oimage(T_b,T_b),V_f_2),V_A_2) = V_A_2 ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__iff__surj,axiom, % 197.39/197.39 ! [V_A_H_2,T_c,T_b,V_A_2] : % 197.39/197.39 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( ? [B_f] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 197.39/197.39 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),B_f),V_A_2)),V_A_H_2)) ) % 197.39/197.39 <=> ? [B_g] : hAPP(hAPP(c_Set_Oimage(T_c,T_b),B_g),V_A_H_2) = V_A_2 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__image__mem__iff,axiom, % 197.39/197.39 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2))) % 197.39/197.39 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_range__ex1__eq,axiom, % 197.39/197.39 ! [V_b_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 197.39/197.39 <=> ? [B_x] : % 197.39/197.39 ( V_b_2 = hAPP(V_f_2,B_x) % 197.39/197.39 & ! [B_y] : % 197.39/197.39 ( V_b_2 = hAPP(V_f_2,B_y) % 197.39/197.39 => B_y = B_x ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_image__set__diff,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => hAPP(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(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_B_2)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__image__set__diff,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 197.39/197.39 => hAPP(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(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_B_2)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__iff__eq__card,axiom, % 197.39/197.39 ! [V_f_2,T_c,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_eq__card__imp__inj__on,axiom, % 197.39/197.39 ! [V_f_2,T_c,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) % 197.39/197.39 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setprod__reindex__id,axiom, % 197.39/197.39 ! [V_B_2,V_f_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.39/197.39 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 197.39/197.39 => 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(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_B_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__comp,axiom, % 197.39/197.39 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 197.39/197.39 => c_Fun_Oinj__on(T_d,T_c,hAPP(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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__imageI,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_b),V_g_2),V_f_2),V_A_2) % 197.39/197.39 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(hAPP(c_Set_Oimage(T_b,T_d),V_f_2),V_A_2)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_comp__inj__on,axiom, % 197.39/197.39 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)) % 197.39/197.39 => c_Fun_Oinj__on(T_b,T_d,hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),V_g_2),V_f_2),V_A_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_comp__inj__on__iff,axiom, % 197.39/197.39 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)) % 197.39/197.39 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),V_f_H_2),V_f_2),V_A_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__imageI2,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,hAPP(hAPP(c_Fun_Ocomp(T_d,T_c,T_b),V_f_H_2),V_f_2),V_A_2) % 197.39/197.39 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setsum__reindex,axiom, % 197.39/197.39 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__add(T_d) % 197.39/197.39 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 197.39/197.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(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(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),V_h_2),V_f_2)),V_B_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setprod__reindex__cong,axiom, % 197.39/197.39 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__mult(T_d) % 197.39/197.39 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( V_B_2 = hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2) % 197.39/197.39 => ( V_g_2 = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),V_h_2),V_f_2) % 197.39/197.39 => 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) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setprod__reindex,axiom, % 197.39/197.39 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__mult(T_d) % 197.39/197.39 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 197.39/197.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(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(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),V_h_2),V_f_2)),V_B_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__singleton,axiom, % 197.39/197.39 ! [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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setsum_Oreindex,axiom, % 197.39/197.39 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__add(T_c) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 197.39/197.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(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(hAPP(c_Fun_Ocomp(T_b,T_c,T_b),V_g_2),V_h_2)),V_A_2) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_card__bij__eq,axiom, % 197.39/197.39 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)),V_B_2)) % 197.39/197.39 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_g_2),V_B_2)),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 197.39/197.39 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setprod_Oreindex,axiom, % 197.39/197.39 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 197.39/197.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(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(hAPP(c_Fun_Ocomp(T_b,T_c,T_b),V_g_2),V_h_2)),V_A_2) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__image__Compl__subset,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(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(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_wf__map__pair__image,axiom, % 197.39/197.39 ! [V_f_2,T_c,V_r_2,T_b] : % 197.39/197.39 ( c_Wellfounded_Owf(T_b,V_r_2) % 197.39/197.39 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => c_Wellfounded_Owf(T_c,hAPP(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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__insert,axiom, % 197.39/197.39 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) % 197.39/197.39 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(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))))))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__Un,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( 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)) % 197.39/197.39 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 197.39/197.39 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(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_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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_card__inj__on__le,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)),V_B_2)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 197.39/197.39 => 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))) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__iff__card__le,axiom, % 197.39/197.39 ! [V_B_2,T_c,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 197.39/197.39 => ( ? [B_f] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 197.39/197.39 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),B_f),V_A_2)),V_B_2)) ) % 197.39/197.39 <=> 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))) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_map__sorted__distinct__set__unique,axiom, % 197.39/197.39 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 197.39/197.39 ( class_Orderings_Olinorder(T_c) % 197.39/197.39 => ( 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))) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 197.39/197.39 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))) % 197.39/197.39 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)) % 197.39/197.39 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))) % 197.39/197.39 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 197.39/197.39 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_quotient__diff1,axiom, % 197.39/197.39 ! [V_a_2,V_A_2,V_r_2,T_b] : % 197.39/197.39 ( 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) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_folding__image_Oreindex,axiom, % 197.39/197.39 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 197.39/197.39 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2) % 197.39/197.39 => hAPP(hAPP(V_F_2,V_g_2),hAPP(hAPP(c_Set_Oimage(T_c,T_c),V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_c),V_g_2),V_h_2)),V_A_2) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_folding__one_Oclosed,axiom, % 197.39/197.39 ! [V_A_2,V_F_2,V_f_2,T_b] : % 197.39/197.39 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => ( ! [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)))))) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__rev,axiom, % 197.39/197.39 ! [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) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__Atom,axiom, % 197.39/197.39 ! [T_c,T_b] : c_Fun_Oinj__on(tc_sum(T_b,tc_Nat_Onat),tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),c_Datatype_OAtom(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,tc_Nat_Onat),tc_HOL_Obool))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__of__nat,axiom, % 197.39/197.39 ! [T_b] : % 197.39/197.39 ( class_Nat_Osemiring__char__0(T_b) % 197.39/197.39 => 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__int,axiom, % 197.39/197.39 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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__Inl,axiom, % 197.39/197.39 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(T_b,tc_sum(T_b,T_c),c_Sum__Type_OInl(T_b,T_c),V_A_2) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__Inr,axiom, % 197.39/197.39 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(T_b,tc_sum(T_c,T_b),c_Sum__Type_OInr(T_b,T_c),V_A_2) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__Suc,axiom, % 197.39/197.39 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__add__nat,axiom, % 197.39/197.39 ! [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) ). % 197.39/197.39 % 197.39/197.39 fof(fact_swap__inj__on,axiom, % 197.39/197.39 ! [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) ). % 197.39/197.39 % 197.39/197.39 fof(fact_folding__image_Odistrib,axiom, % 197.39/197.39 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__graph,axiom, % 197.39/197.39 ! [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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__mapI,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( 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(hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),c_List_Oset(T_b)),V_A_2))) % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fun__upd__image,axiom, % 197.39/197.39 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 197.39/197.39 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => hAPP(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(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)))))) ) % 197.39/197.39 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => hAPP(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_Oimage(T_b,T_c),V_f_2),V_A_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fun__upd__triv,axiom, % 197.39/197.39 ! [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 ). % 197.39/197.39 % 197.39/197.39 fof(fact_Field__Union,axiom, % 197.39/197.39 ! [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(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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__UnionD,axiom, % 197.39/197.39 ! [V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fun__upd__idem__iff,axiom, % 197.39/197.39 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2 % 197.39/197.39 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fun__upd__upd,axiom, % 197.39/197.39 ! [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) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fun__upd__same,axiom, % 197.39/197.39 ! [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 ). % 197.39/197.39 % 197.39/197.39 fof(fact_fun__upd__apply,axiom, % 197.39/197.39 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 197.39/197.39 ( ( V_z_2 = V_x_2 % 197.39/197.39 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 ) % 197.39/197.39 & ( V_z_2 != V_x_2 % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fun__upd__twist,axiom, % 197.39/197.39 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] : % 197.39/197.39 ( V_a_2 != V_c_2 % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fun__upd__other,axiom, % 197.39/197.39 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 197.39/197.39 ( V_z_2 != V_x_2 % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fun__upd__idem,axiom, % 197.39/197.39 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 197.39/197.39 ( hAPP(V_f_2,V_x_2) = V_y_2 % 197.39/197.39 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fun__upd__def,axiom, % 197.39/197.39 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] : % 197.39/197.39 ( ( V_x_2 = V_a_2 % 197.39/197.39 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 ) % 197.39/197.39 & ( V_x_2 != V_a_2 % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Union__quotient,axiom, % 197.39/197.39 ! [V_r_2,V_A_2,T_b] : % 197.39/197.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.39/197.39 => 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 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fun__upd__comp,axiom, % 197.39/197.39 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(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(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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_map__fun__upd,axiom, % 197.39/197.39 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] : % 197.39/197.39 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__fun__updI,axiom, % 197.39/197.39 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2))) % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sup__fin__Sup,axiom, % 197.39/197.39 ! [V_A_2,T_b] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UnionI,axiom, % 197.39/197.39 ! [V_A_2,V_C_2,V_X_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Union__Int__subset,axiom, % 197.39/197.39 ! [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)))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sup__le__iff,axiom, % 197.39/197.39 ! [V_b_2,V_A_2,T_b] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 => ( 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)) % 197.39/197.39 <=> ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_less__Sup__iff,axiom, % 197.39/197.39 ! [V_S_2,V_a_2,T_b] : % 197.39/197.39 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 & class_Orderings_Olinorder(T_b) ) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2))) % 197.39/197.39 <=> ? [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 197.39/197.39 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Union__Pow__eq,axiom, % 197.39/197.39 ! [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 ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sup__upper,axiom, % 197.39/197.39 ! [V_A_2,V_x_2,T_b] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sup__empty,axiom, % 197.39/197.39 ! [T_b] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sup__singleton,axiom, % 197.39/197.39 ! [V_a_2,T_b] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 => 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 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sup__insert,axiom, % 197.39/197.39 ! [V_A_2,V_a_2,T_b] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 => 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)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sup__UNIV,axiom, % 197.39/197.39 ! [T_b] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Union__disjoint,axiom, % 197.39/197.39 ! [V_A_2,V_C_2,T_b] : % 197.39/197.39 ( 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)) % 197.39/197.39 <=> ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Union__upper,axiom, % 197.39/197.39 ! [V_A_2,V_B_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.39/197.39 => 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Union__empty,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Union__mono,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b] : % 197.39/197.39 ( 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)) % 197.39/197.39 => 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Union__eq,axiom, % 197.39/197.39 ! [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)))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Union__insert,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_subset__Pow__Union,axiom, % 197.39/197.39 ! [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)))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Union__UNIV,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Union__Un__distrib,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sup__fun__def,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_c,T_b] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 => 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)))))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sup__apply,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,T_c,T_b] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 => 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)))))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sup__binary,axiom, % 197.39/197.39 ! [V_b_2,V_a_2,T_b] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Un__eq__Union,axiom, % 197.39/197.39 ! [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))))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Lim__def,axiom, % 197.39/197.39 ! [V_f_2,T_b,T_c] : c_Datatype_OLim(T_c,T_b,V_f_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBC(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),c_COMBB(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),hAPP(hAPP(c_COMBS(T_c,tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_Datatype_Onode(T_b,T_c)),tc_fun(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),T_c),c_Set_Oimage(tc_Datatype_Onode(T_b,T_c),tc_Datatype_Onode(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_sum(T_c,tc_Nat_Onat),tc_fun(tc_Datatype_Onode(T_b,T_c),tc_Datatype_Onode(T_b,T_c)),T_c),c_Datatype_OPush__Node(T_c,T_b)),c_Sum__Type_OInl(T_c,tc_Nat_Onat)))),V_f_2))))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setsum__mult__setsum__if__inj,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : % 197.39/197.39 ( class_Rings_Osemiring__0(T_d) % 197.39/197.39 => ( 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))) % 197.39/197.39 => 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))))))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_SigmaI,axiom, % 197.39/197.39 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sigma__Diff__distrib1,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Times__Diff__distrib1,axiom, % 197.39/197.39 ! [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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sigma__Diff__distrib2,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_card__cartesian__product__singleton,axiom, % 197.39/197.39 ! [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) ). % 197.39/197.39 % 197.39/197.39 fof(fact_rel__comp__subset__Sigma,axiom, % 197.39/197.39 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 197.39/197.39 ( 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)))) % 197.39/197.39 => ( 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)))) % 197.39/197.39 => 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)))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_listrel__subset,axiom, % 197.39/197.39 ! [V_A_2,V_r_2,T_b] : % 197.39/197.39 ( 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)))) % 197.39/197.39 => 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))))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sigma__Un__distrib2,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Times__Un__distrib1,axiom, % 197.39/197.39 ! [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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sigma__Un__distrib1,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_trancl__subset__Sigma,axiom, % 197.39/197.39 ! [V_A_2,V_r_2,T_b] : % 197.39/197.39 ( 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)))) % 197.39/197.39 => 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)))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__cartesian__product,axiom, % 197.39/197.39 ! [V_B_2,T_c,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 197.39/197.39 => 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)))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_equiv__type,axiom, % 197.39/197.39 ! [V_r_2,V_A_2,T_b] : % 197.39/197.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.39/197.39 => 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)))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Id__on__subset__Times,axiom, % 197.39/197.39 ! [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)))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_mem__Sigma__iff,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.39 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_SigmaD1,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_SigmaD2,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_SigmaE2,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.39 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setprod__cartesian__product,axiom, % 197.39/197.39 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__mult(T_b) % 197.39/197.39 => 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_card__cartesian__product,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Lim__inject,axiom, % 197.39/197.39 ! [V_g_2,V_f_2,T_b,T_c] : % 197.39/197.39 ( c_Datatype_OLim(T_c,T_b,V_f_2) = c_Datatype_OLim(T_c,T_b,V_g_2) % 197.39/197.39 => V_f_2 = V_g_2 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setsum__cartesian__product,axiom, % 197.39/197.39 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__add(T_b) % 197.39/197.39 => 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sigma__Int__distrib1,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Times__Int__distrib1,axiom, % 197.39/197.39 ! [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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sigma__Int__distrib2,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Times__eq__cancel2,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 197.39/197.39 => ( 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)) % 197.39/197.39 <=> V_A_2 = V_B_2 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Times__empty,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_c,T_b] : % 197.39/197.39 ( 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)) % 197.39/197.39 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sigma__empty2,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Sigma__empty1,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Times__subset__cancel2,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 197.39/197.39 => ( 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)))) % 197.39/197.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Compl__Times__UNIV1,axiom, % 197.39/197.39 ! [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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Compl__Times__UNIV2,axiom, % 197.39/197.39 ! [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)))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UNIV__Times__UNIV,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Image__subset,axiom, % 197.39/197.39 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 197.39/197.39 ( 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)))) % 197.39/197.39 => 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)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__cartesian__productD2,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_c,T_b] : % 197.39/197.39 ( 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)))) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__cartesian__productD1,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_c,T_b] : % 197.39/197.39 ( 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)))) % 197.39/197.39 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Collect__split,axiom, % 197.39/197.39 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Q_2))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_SetCompr__Sigma__eq,axiom, % 197.39/197.39 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Q_2)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fst__image__times,axiom, % 197.39/197.39 ! [V_A_2,T_c,T_b,V_B_2] : % 197.39/197.39 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => hAPP(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)) ) % 197.39/197.39 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => hAPP(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 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_snd__image__times,axiom, % 197.39/197.39 ! [V_B_2,T_c,T_b,V_A_2] : % 197.39/197.39 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => hAPP(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)) ) % 197.39/197.39 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => hAPP(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 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_trancl__subset__Field2,axiom, % 197.39/197.39 ! [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))))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_map__pair__surj__on,axiom, % 197.39/197.39 ! [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] : % 197.39/197.39 ( hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2) = V_A_H_2 % 197.39/197.39 => ( hAPP(hAPP(c_Set_Oimage(T_e,T_d),V_g_2),V_B_2) = V_B_H_2 % 197.39/197.39 => hAPP(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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_product__list__set,axiom, % 197.39/197.39 ! [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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_swap__product,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_refl__on__def,axiom, % 197.39/197.39 ! [V_r_2,V_A_2,T_b] : % 197.39/197.39 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 197.39/197.39 <=> ( 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)))) % 197.39/197.39 & ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.39 => 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)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_insert__times__insert,axiom, % 197.39/197.39 ! [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)))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__equiv__class,axiom, % 197.39/197.39 ! [V_X_2,V_r_2,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( 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)))) % 197.39/197.39 => ( 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))) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_map__pair__inj__on,axiom, % 197.39/197.39 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__quotient,axiom, % 197.39/197.39 ! [V_r_2,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( 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)))) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_trancl__subset__Sigma__aux,axiom, % 197.39/197.39 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 => ( 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)))) % 197.39/197.39 => ( V_a_2 = V_b_2 % 197.39/197.39 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_refl__onI,axiom, % 197.39/197.39 ! [V_A_2,V_r_2,T_b] : % 197.39/197.39 ( 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)))) % 197.39/197.39 => ( ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.39 => 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)) ) % 197.39/197.39 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_image__split__eq__Sigma,axiom, % 197.39/197.39 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(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(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),hAPP(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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimageI,axiom, % 197.39/197.39 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] : % 197.39/197.39 ( hAPP(V_f_2,V_a_2) = V_b_2 % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2)) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__vimageI,axiom, % 197.39/197.39 ! [V_h_2,T_c,V_F_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 197.39/197.39 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__Collect__eq,axiom, % 197.39/197.39 ! [V_P_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_P_2),V_f_2)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__def,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__Times,axiom, % 197.39/197.39 ! [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(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(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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__vimage__image__eq,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)) = V_A_2 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__UNIV,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__compose,axiom, % 197.39/197.39 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__empty,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__eq,axiom, % 197.39/197.39 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 197.39/197.39 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimageD,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2))) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimageI2,axiom, % 197.39/197.39 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__id,axiom, % 197.39/197.39 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__ident,axiom, % 197.39/197.39 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__code,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2)) % 197.39/197.39 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__Compl,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__Int,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__Un,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__mono,axiom, % 197.39/197.39 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.39/197.39 => 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__singleton__eq,axiom, % 197.39/197.39 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] : % 197.39/197.39 ( 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)))))) % 197.39/197.39 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__insert,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__Diff,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_image__vimage__eq,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(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(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_image__vimage__subset,axiom, % 197.39/197.39 ! [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_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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__subsetD,axiom, % 197.39/197.39 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] : % 197.39/197.39 ( hAPP(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)) % 197.39/197.39 => ( 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)) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oimage(T_c,T_b),V_f_2),V_A_2))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_surj__image__vimage__eq,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,T_b,T_c] : % 197.39/197.39 ( hAPP(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)) % 197.39/197.39 => hAPP(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 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__vimageD,axiom, % 197.39/197.39 ! [V_F_2,V_h_2,T_c,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 197.39/197.39 => ( hAPP(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)) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__const,axiom, % 197.39/197.39 ! [T_c,V_A_2,V_c_2,T_b] : % 197.39/197.39 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.39/197.39 => 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)) ) % 197.39/197.39 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__subsetI,axiom, % 197.39/197.39 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2))) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__if,axiom, % 197.39/197.39 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] : % 197.39/197.39 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.39/197.39 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 197.39/197.39 => 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)) ) % 197.39/197.39 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 197.39/197.39 => 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 ) ) ) % 197.39/197.39 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 197.39/197.39 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 197.39/197.39 => 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) ) % 197.39/197.39 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 197.39/197.39 => 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)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__vimage__singleton,axiom, % 197.39/197.39 ! [V_a_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => 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))))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setprod__Sigma,axiom, % 197.39/197.39 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__mult(T_d) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 197.39/197.39 => 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)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setsum__Sigma,axiom, % 197.39/197.39 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__add(T_d) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 197.39/197.39 => 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)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_card__SigmaI,axiom, % 197.39/197.39 ! [V_B_2,T_c,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__SigmaI,axiom, % 197.39/197.39 ! [V_B_2,T_c,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( ! [B_a] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__Union,axiom, % 197.39/197.39 ! [V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) % 197.39/197.39 => ( ! [B_M] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2)) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) ) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_insert__partition,axiom, % 197.39/197.39 ! [V_F_2,V_x_2,T_b] : % 197.39/197.39 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)) % 197.39/197.39 => ( ! [B_x] : % 197.39/197.39 ( 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))) % 197.39/197.39 => ! [B_xa] : % 197.39/197.39 ( 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))) % 197.39/197.39 => ( B_x != B_xa % 197.39/197.39 => 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)) ) ) ) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_the__inv__into__comp,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oimage(T_d,T_b),V_g_2),V_A_2)) % 197.39/197.39 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oimage(T_d,T_b),V_g_2),V_A_2)))) % 197.39/197.39 => hAPP(c_Fun_Othe__inv__into(T_d,T_c,V_A_2,hAPP(hAPP(c_Fun_Ocomp(T_b,T_c,T_d),V_f_2),V_g_2)),V_x_2) = hAPP(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(hAPP(c_Set_Oimage(T_d,T_b),V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_length__takeWhile__less__P__nth,axiom, % 197.39/197.39 ! [V_xs_2,T_b,V_P_2,V_j_2] : % 197.39/197.39 ( ! [B_i] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 197.39/197.39 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 197.39/197.39 => ( 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))) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_the__inv__into__f__eq,axiom, % 197.39/197.39 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_the__inv__into__f__f,axiom, % 197.39/197.39 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.39 => 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 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_the__inv__f__f,axiom, % 197.39/197.39 ! [V_x_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.39 => 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 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_inj__on__the__inv__into,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_the__inv__into__onto,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => hAPP(hAPP(c_Set_Oimage(T_c,T_b),c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2)) = V_A_2 ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_the__inv__into__def,axiom, % 197.39/197.39 ! [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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_f__the__inv__into__f,axiom, % 197.39/197.39 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2))) % 197.39/197.39 => 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 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_the__inv__into__into,axiom, % 197.39/197.39 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2))) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.39/197.39 => 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)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_quotient__def,axiom, % 197.39/197.39 ! [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)))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fold__Un__disjoint,axiom, % 197.39/197.39 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.39 => ( 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)) % 197.39/197.39 => 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)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__I,axiom, % 197.39/197.39 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_SUP1__I,axiom, % 197.39/197.39 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Union__image__eq,axiom, % 197.39/197.39 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(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) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UNION__eq__Union__image,axiom, % 197.39/197.39 ! [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(hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__Times__distrib,axiom, % 197.39/197.39 ! [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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_image__eq__UN,axiom, % 197.39/197.39 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(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)))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__extend__simps_I10_J,axiom, % 197.39/197.39 ! [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(hAPP(c_Set_Oimage(T_c,T_d),V_f_2),V_A_2)),V_B_2) ). % 197.39/197.39 % 197.39/197.39 fof(fact_image__UN,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(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),hAPP(c_Set_Oimage(T_c,T_b),V_f_2)),V_B_2)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__simps_I10_J,axiom, % 197.39/197.39 ! [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(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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__extend__simps_I2_J,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 197.39/197.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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 ) % 197.39/197.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__extend__simps_I3_J,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 197.39/197.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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 ) % 197.39/197.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__simps_I2_J,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 197.39/197.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) % 197.39/197.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__simps_I3_J,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 197.39/197.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) % 197.39/197.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_SUP__const,axiom, % 197.39/197.39 ! [V_M_2,T_b,V_A_2,T_c] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 197.39/197.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UNION__empty__conv_I2_J,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_b,T_c] : % 197.39/197.39 ( 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)) % 197.39/197.39 <=> ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 197.39/197.39 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__constant,axiom, % 197.39/197.39 ! [V_c_2,T_c,T_b,V_A_2] : % 197.39/197.39 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) % 197.39/197.39 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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 ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__empty2,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UNION__empty__conv_I1_J,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_c,T_b] : % 197.39/197.39 ( 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) % 197.39/197.39 <=> ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 197.39/197.39 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__extend__simps_I1_J,axiom, % 197.39/197.39 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 197.39/197.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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))) ) % 197.39/197.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__singleton,axiom, % 197.39/197.39 ! [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 ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__simps_I1_J,axiom, % 197.39/197.39 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 197.39/197.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) % 197.39/197.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__iff,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 197.39/197.39 ( 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))) % 197.39/197.39 <=> ? [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 197.39/197.39 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_less__SUP__iff,axiom, % 197.39/197.39 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] : % 197.39/197.39 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 & class_Orderings_Olinorder(T_b) ) % 197.39/197.39 => ( 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))) % 197.39/197.39 <=> ? [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 197.39/197.39 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_SUP__commute,axiom, % 197.39/197.39 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 => 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__extend__simps_I9_J,axiom, % 197.39/197.39 ! [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) ). % 197.39/197.39 % 197.39/197.39 fof(fact_ball__UN,axiom, % 197.39/197.39 ! [V_P_2,V_B_2,V_A_2,T_c,T_b] : % 197.39/197.39 ( ! [B_x] : % 197.39/197.39 ( 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))) % 197.39/197.39 => hBOOL(hAPP(V_P_2,B_x)) ) % 197.39/197.39 <=> ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 197.39/197.39 => ! [B_xa] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x))) % 197.39/197.39 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__simps_I9_J,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__UN__flatten,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_SUPR__apply,axiom, % 197.39/197.39 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 => 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)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__simps_I5_J,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__simps_I4_J,axiom, % 197.39/197.39 ! [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) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__extend__simps_I5_J,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Int__UN__distrib,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__extend__simps_I4_J,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Int__UN__distrib2,axiom, % 197.39/197.39 ! [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))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__Un,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__Un__distrib,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__subset__iff,axiom, % 197.39/197.39 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : % 197.39/197.39 ( 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)) % 197.39/197.39 <=> ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_SUP__le__iff,axiom, % 197.39/197.39 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.39 => ( 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)) % 197.39/197.39 <=> ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 197.39/197.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__Pow__subset,axiom, % 197.39/197.39 ! [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)))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_SUP__subset,axiom, % 197.39/197.39 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__absorb,axiom, % 197.39/197.39 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 197.39/197.39 => 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) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__upper,axiom, % 197.39/197.39 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.39 => 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__insert__distrib,axiom, % 197.39/197.39 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 197.39/197.39 => 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)) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__insert,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__extend__simps_I6_J,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__simps_I6_J,axiom, % 197.39/197.39 ! [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) ). % 197.39/197.39 % 197.39/197.39 fof(fact_folding__image_Oeq__fold,axiom, % 197.39/197.39 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Image__UN,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_finite__UN,axiom, % 197.39/197.39 ! [V_B_2,T_c,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( 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))) % 197.39/197.39 <=> ! [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_SUP1__iff,axiom, % 197.39/197.39 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 197.39/197.39 ( 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)) % 197.39/197.39 <=> ? [B_x] : % 197.39/197.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.39 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fold__image__empty,axiom, % 197.39/197.39 ! [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 ). % 197.39/197.39 % 197.39/197.39 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 197.39/197.39 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 197.39/197.39 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_SUP__UN__eq,axiom, % 197.39/197.39 ! [V_x_2,V_r_2,T_c,T_b] : % 197.39/197.39 ( 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)) % 197.39/197.39 <=> 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))) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__extend__simps_I8_J,axiom, % 197.39/197.39 ! [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) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__simps_I8_J,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__eq__UN,axiom, % 197.39/197.39 ! [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))))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Image__eq__UN,axiom, % 197.39/197.39 ! [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))))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__o,axiom, % 197.39/197.39 ! [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(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(hAPP(c_Set_Oimage(T_c,T_d),V_f_2),V_A_2)),V_g_2) ). % 197.39/197.39 % 197.39/197.39 fof(fact_vimage__UN,axiom, % 197.39/197.39 ! [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)) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__eq,axiom, % 197.39/197.39 ! [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))))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_le__SUPI,axiom, % 197.39/197.39 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 197.39/197.39 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 197.39/197.39 => 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))) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_Un__Union__image,axiom, % 197.39/197.39 ! [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(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(hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fold__image__distrib,axiom, % 197.39/197.39 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => 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)) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fold__image__insert,axiom, % 197.39/197.39 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Oab__semigroup__mult(T_c) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.39 => 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)) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setsum_OF__eq,axiom, % 197.39/197.39 ! [V_g_2,V_A_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__add(T_c) % 197.39/197.39 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => 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) ) % 197.39/197.39 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => 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) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setsum_Oeq__fold,axiom, % 197.39/197.39 ! [V_g_2,V_A_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__add(T_c) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setprod_OF__eq,axiom, % 197.39/197.39 ! [V_g_2,V_A_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.39/197.39 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => 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) ) % 197.39/197.39 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => 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) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_setprod_Oeq__fold,axiom, % 197.39/197.39 ! [V_g_2,V_A_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => 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) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__equiv__class,axiom, % 197.39/197.39 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 197.39/197.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.39/197.39 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.39 => 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) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_congruent2__implies__congruent__UN,axiom, % 197.39/197.39 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 197.39/197.39 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 197.39/197.39 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 197.39/197.39 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2)) % 197.39/197.39 => 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)) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_UN__equiv__class2,axiom, % 197.39/197.39 ! [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] : % 197.39/197.39 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 197.39/197.39 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 197.39/197.39 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2)) % 197.39/197.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2)) % 197.39/197.39 => 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) ) ) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fold__image__Un__Int,axiom, % 197.39/197.39 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 197.39/197.39 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.39 => 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))) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_fold__image__reindex,axiom, % 197.39/197.39 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] : % 197.39/197.39 ( class_Groups_Oab__semigroup__mult(T_d) % 197.39/197.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.39 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2) % 197.39/197.39 => 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(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(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ). % 197.39/197.39 % 197.39/197.39 fof(fact_image__eq__fold__image,axiom, % 197.39/197.39 ! [V_f_2,T_c,V_A_2,T_b] : % 197.39/197.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => hAPP(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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_card__def,axiom, % 197.39/197.40 ! [V_A_2,T_b] : % 197.39/197.40 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => 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) ) % 197.39/197.40 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_card_Oeq__fold__g,axiom, % 197.39/197.40 ! [V_A_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__equiv__class__inject,axiom, % 197.39/197.40 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 197.39/197.40 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.39/197.40 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 197.39/197.40 => ( 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) % 197.39/197.40 => ( 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))) % 197.39/197.40 => ( 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))) % 197.39/197.40 => ( ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 => ! [B_y] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 197.39/197.40 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 197.39/197.40 => 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)) ) ) ) % 197.39/197.40 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_comm__monoid__big_OF__eq,axiom, % 197.39/197.40 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 197.39/197.40 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 197.39/197.40 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 197.39/197.40 => 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) ) % 197.39/197.40 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 197.39/197.40 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_SUP2__I,axiom, % 197.39/197.40 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_image__Union,axiom, % 197.39/197.40 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(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),hAPP(c_Set_Oimage(T_c,T_b),V_f_2)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Sigma__Union,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_rel__comp__UNION__distrib,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_rel__comp__UNION__distrib2,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_converse__UNION,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__atMost__UNIV,axiom, % 197.39/197.40 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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_SUP__UN__eq2,axiom, % 197.39/197.40 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 <=> 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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Scons__UN1__x,axiom, % 197.39/197.40 ! [V_M_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_Datatype_OScons(T_b,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))),V_f_2)),V_M_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_d,tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),T_d),c_Datatype_OScons(T_b,T_c)),V_f_2)),V_M_2)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Scons__UN1__y,axiom, % 197.39/197.40 ! [V_f_2,T_d,V_M_2,T_c,T_b] : hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),T_d),hAPP(c_Datatype_OScons(T_b,T_c),V_M_2)),V_f_2)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__lessThan__UNIV,axiom, % 197.39/197.40 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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__atLeast__UNIV,axiom, % 197.39/197.40 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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_SUPR__bool__eq,axiom, % 197.39/197.40 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Domain__Union,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Union__def,axiom, % 197.39/197.40 ! [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))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Range__Union,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Int__Union,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Int__Union2,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_vimage__Union,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__UN__finite__eq,axiom, % 197.39/197.40 ! [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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_set__concat,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__le__add__shift,axiom, % 197.39/197.40 ! [V_k_2,V_M_2,V_na_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_na_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_na_2),V_k_2))),V_M_2) ). % 197.39/197.40 % 197.39/197.40 fof(fact_lex__def,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Sigma__def,axiom, % 197.39/197.40 ! [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))))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 197.39/197.40 ! [V_R_2,V_p_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 197.39/197.40 => 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)))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Id__on__def,axiom, % 197.39/197.40 ! [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)))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_comm__monoid__big_Oinfinite,axiom, % 197.39/197.40 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 197.39/197.40 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 197.39/197.40 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 197.39/197.40 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__le__eq__Un0,axiom, % 197.39/197.40 ! [V_M_2,V_na_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_na_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_na_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_minus__int__def,axiom, % 197.39/197.40 ! [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))))))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__equiv__class__type2,axiom, % 197.39/197.40 ! [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] : % 197.39/197.40 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 197.39/197.40 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 197.39/197.40 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 197.39/197.40 => ( 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))) % 197.39/197.40 => ( 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))) % 197.39/197.40 => ( ! [B_x1] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2)) % 197.39/197.40 => ! [B_x2] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 197.39/197.40 => 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)) ) ) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_SUP2__iff,axiom, % 197.39/197.40 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 <=> ? [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Rep__Integ__inject,axiom, % 197.39/197.40 ! [V_y_2,V_x_2] : % 197.39/197.40 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 197.39/197.40 <=> V_x_2 = V_y_2 ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Rep__Integ__inverse,axiom, % 197.39/197.40 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 197.39/197.40 % 197.39/197.40 fof(fact_Rep__Integ,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_type__definition__Integ,axiom, % 197.39/197.40 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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_nat__def,axiom, % 197.39/197.40 ! [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)))))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_length__remdups__concat,axiom, % 197.39/197.40 ! [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))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__equiv__class__type,axiom, % 197.39/197.40 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 197.39/197.40 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 197.39/197.40 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 197.39/197.40 => ( 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))) % 197.39/197.40 => ( ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 197.39/197.40 => 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)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_distinct__remdups,axiom, % 197.39/197.40 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_length__remdups__leq,axiom, % 197.39/197.40 ! [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))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_sorted__remdups,axiom, % 197.39/197.40 ! [V_l,T_a] : % 197.39/197.40 ( class_Orderings_Olinorder(T_a) % 197.39/197.40 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 197.39/197.40 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_length__remdups__eq,axiom, % 197.39/197.40 ! [V_xs_2,T_b] : % 197.39/197.40 ( 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) % 197.39/197.40 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_remdups__remdups,axiom, % 197.39/197.40 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 197.39/197.40 % 197.39/197.40 fof(fact_insert__remdups,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_set__remdups,axiom, % 197.39/197.40 ! [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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_remdups__filter,axiom, % 197.39/197.40 ! [V_xs_2,V_P_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oremdups(T_b,V_xs_2)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_remdups__eq__nil__iff,axiom, % 197.39/197.40 ! [V_x_2,T_b] : % 197.39/197.40 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b) % 197.39/197.40 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_remdups__eq__nil__right__iff,axiom, % 197.39/197.40 ! [V_x_2,T_b] : % 197.39/197.40 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2) % 197.39/197.40 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_remdups_Osimps_I1_J,axiom, % 197.39/197.40 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 197.39/197.40 % 197.39/197.40 fof(fact_remdups__map__remdups,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_distinct__remdups__id,axiom, % 197.39/197.40 ! [V_xs,T_a] : % 197.39/197.40 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 197.39/197.40 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_remdups__id__iff__distinct,axiom, % 197.39/197.40 ! [V_xs_2,T_b] : % 197.39/197.40 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2 % 197.39/197.40 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_remove1__remdups,axiom, % 197.39/197.40 ! [V_x,V_xs,T_a] : % 197.39/197.40 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_remdups_Osimps_I2_J,axiom, % 197.39/197.40 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.40 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.40 => 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) ) % 197.39/197.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_length__remdups__card__conv,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__finite2__subset,axiom, % 197.39/197.40 ! [V_B_2,V_k_2,V_A_2,T_b] : % 197.39/197.40 ( ! [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))) % 197.39/197.40 => 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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 197.39/197.40 ! [V_A_2,V_I_2,T_c,T_b] : % 197.39/197.40 ? [B_f] : % 197.39/197.40 ( 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)) % 197.39/197.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold__image__Sigma,axiom, % 197.39/197.40 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 197.39/197.40 ( class_Groups_Ocomm__monoid__mult(T_d) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 197.39/197.40 => 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)) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold__image__Un__one,axiom, % 197.39/197.40 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 197.39/197.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 197.39/197.40 => ( ! [B_x] : % 197.39/197.40 ( 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))) % 197.39/197.40 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 197.39/197.40 => 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)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__finite2__eq,axiom, % 197.39/197.40 ! [V_B_2,V_k_2,V_A_2,T_b] : % 197.39/197.40 ( ! [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) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__finite__subset,axiom, % 197.39/197.40 ! [V_C_2,V_A_2,T_b] : % 197.39/197.40 ( ! [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)) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 197.39/197.40 ! [V_xs_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 197.39/197.40 ! [V_N_2,V_h_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( ! [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)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 197.39/197.40 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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(hAPP(c_Set_Oimage(T_b,T_b),V_h_2),V_N_2)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_sorted__sort,axiom, % 197.39/197.40 ! [V_xs_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_length__sort,axiom, % 197.39/197.40 ! [V_xs_2,V_f_2,T_b,T_c] : % 197.39/197.40 ( class_Orderings_Olinorder(T_c) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_set__sort,axiom, % 197.39/197.40 ! [V_xs_2,V_f_2,T_b,T_c] : % 197.39/197.40 ( class_Orderings_Olinorder(T_c) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_filter__sort,axiom, % 197.39/197.40 ! [V_xs_2,V_f_2,V_P_2,T_b,T_c] : % 197.39/197.40 ( class_Orderings_Olinorder(T_c) % 197.39/197.40 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_sort__key__simps_I1_J,axiom, % 197.39/197.40 ! [V_f_2,T_b,T_c] : % 197.39/197.40 ( class_Orderings_Olinorder(T_c) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_distinct__sort,axiom, % 197.39/197.40 ! [V_xs_2,V_f_2,T_b,T_c] : % 197.39/197.40 ( class_Orderings_Olinorder(T_c) % 197.39/197.40 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2))) % 197.39/197.40 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_sorted__sort__key,axiom, % 197.39/197.40 ! [V_xs_2,V_f_2,T_c,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => 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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_sort__key__simps_I2_J,axiom, % 197.39/197.40 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 197.39/197.40 ( class_Orderings_Olinorder(T_c) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 197.39/197.40 ! [V_N_2,V_h_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( ! [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)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 197.39/197.40 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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(hAPP(c_Set_Oimage(T_b,T_b),V_h_2),V_N_2)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Max_Ohom__commute,axiom, % 197.39/197.40 ! [V_N_2,V_h_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( ! [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)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 197.39/197.40 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oimage(T_b,T_b),V_h_2),V_N_2)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Min_Ohom__commute,axiom, % 197.39/197.40 ! [V_N_2,V_h_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( ! [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)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 197.39/197.40 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oimage(T_b,T_b),V_h_2),V_N_2)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Leaf__def,axiom, % 197.39/197.40 ! [T_c,T_b] : c_Datatype_OLeaf(T_b,T_c) = hAPP(hAPP(c_Fun_Ocomp(tc_sum(T_b,tc_Nat_Onat),tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),T_b),c_Datatype_OAtom(T_b,T_c)),c_Sum__Type_OInl(T_b,tc_Nat_Onat)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Leaf__inject,axiom, % 197.39/197.40 ! [V_y_2,V_x_2,T_c,T_b] : % 197.39/197.40 ( hAPP(c_Datatype_OLeaf(T_b,T_c),V_x_2) = hAPP(c_Datatype_OLeaf(T_b,T_c),V_y_2) % 197.39/197.40 => V_x_2 = V_y_2 ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Leaf__not__Scons,axiom, % 197.39/197.40 ! [V_N_2,V_M_2,V_a_2,T_c,T_b] : hAPP(c_Datatype_OLeaf(T_b,T_c),V_a_2) != hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_2),V_N_2) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Scons__not__Leaf,axiom, % 197.39/197.40 ! [V_a_2,V_N_2,V_M_2,T_c,T_b] : hAPP(hAPP(c_Datatype_OScons(T_b,T_c),V_M_2),V_N_2) != hAPP(c_Datatype_OLeaf(T_b,T_c),V_a_2) ). % 197.39/197.40 % 197.39/197.40 fof(fact_inj__Leaf,axiom, % 197.39/197.40 ! [T_c,T_b] : c_Fun_Oinj__on(T_b,tc_fun(tc_Datatype_Onode(T_b,T_c),tc_HOL_Obool),c_Datatype_OLeaf(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__fin_Ohom__commute,axiom, % 197.39/197.40 ! [V_N_2,V_h_2,T_b] : % 197.39/197.40 ( class_Lattices_Olattice(T_b) % 197.39/197.40 => ( ! [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)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 197.39/197.40 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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(hAPP(c_Set_Oimage(T_b,T_b),V_h_2),V_N_2)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Sup__fin_Ohom__commute,axiom, % 197.39/197.40 ! [V_N_2,V_h_2,T_b] : % 197.39/197.40 ( class_Lattices_Olattice(T_b) % 197.39/197.40 => ( ! [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)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 197.39/197.40 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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(hAPP(c_Set_Oimage(T_b,T_b),V_h_2),V_N_2)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__Sup,axiom, % 197.39/197.40 ! [V_A_2,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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))))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Sup__Inf,axiom, % 197.39/197.40 ! [V_A_2,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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)))))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_finite__Inter,axiom, % 197.39/197.40 ! [V_M_2,T_b] : % 197.39/197.40 ( ? [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2)) % 197.39/197.40 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 197.39/197.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_InterE,axiom, % 197.39/197.40 ! [V_X_2,V_C_2,V_A_2,T_b] : % 197.39/197.40 ( 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))) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_InterD,axiom, % 197.39/197.40 ! [V_X_2,V_C_2,V_A_2,T_b] : % 197.39/197.40 ( 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))) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__fun__def,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,T_c,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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)))))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__apply,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,T_c,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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)))))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__insert,axiom, % 197.39/197.40 ! [V_A_2,V_a_2,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inter__insert,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_le__Inf__iff,axiom, % 197.39/197.40 ! [V_A_2,V_b_2,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => ( 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))) % 197.39/197.40 <=> ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inter__anti__mono,axiom, % 197.39/197.40 ! [V_A_2,V_B_2,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 => 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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inter__Un__distrib,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__less__iff,axiom, % 197.39/197.40 ! [V_a_2,V_S_2,T_b] : % 197.39/197.40 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 & class_Orderings_Olinorder(T_b) ) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2)) % 197.39/197.40 <=> ? [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 197.39/197.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__singleton,axiom, % 197.39/197.40 ! [V_a_2,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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 ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__empty,axiom, % 197.39/197.40 ! [T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inter__empty,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__UNIV,axiom, % 197.39/197.40 ! [T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inter__UNIV,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inter__lower,axiom, % 197.39/197.40 ! [V_A_2,V_B_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__lower,axiom, % 197.39/197.40 ! [V_A_2,V_x_2,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inter__eq,axiom, % 197.39/197.40 ! [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)))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Int__eq__Inter,axiom, % 197.39/197.40 ! [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))))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inter__Un__subset,axiom, % 197.39/197.40 ! [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)))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__binary,axiom, % 197.39/197.40 ! [V_b_2,V_a_2,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__fin__Inf,axiom, % 197.39/197.40 ! [V_A_2,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_strong__setprod__reindex__cong,axiom, % 197.39/197.40 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 197.39/197.40 ( class_Groups_Ocomm__monoid__mult(T_d) % 197.39/197.40 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 197.39/197.40 => ( V_B_2 = hAPP(hAPP(c_Set_Oimage(T_b,T_c),V_f_2),V_A_2) % 197.39/197.40 => ( ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 => hAPP(V_g_2,B_x) = hAPP(hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b),V_h_2),V_f_2),B_x) ) % 197.39/197.40 => 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) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_sorted_Osimps,axiom, % 197.39/197.40 ! [V_a_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2) % 197.39/197.40 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 197.39/197.40 | ? [B_xs,B_x] : % 197.39/197.40 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 197.39/197.40 & ! [B_xa] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs))) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) % 197.39/197.40 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_SigmaE,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] : % 197.39/197.40 ( 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))) % 197.39/197.40 => ~ ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 => ! [B_y] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x))) % 197.39/197.40 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_card__partition,axiom, % 197.39/197.40 ! [V_k_2,V_C_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 197.39/197.40 => ( ! [B_c] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2)) % 197.39/197.40 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 ) % 197.39/197.40 => ( ! [B_c1] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2)) % 197.39/197.40 => ! [B_c2] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2)) % 197.39/197.40 => ( B_c1 != B_c2 % 197.39/197.40 => 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)) ) ) ) % 197.39/197.40 => 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)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_sequence__trans,axiom, % 197.39/197.40 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] : % 197.39/197.40 ( ! [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))) % 197.39/197.40 => 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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fun__lub__def,axiom, % 197.39/197.40 ! [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)))))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_finite__empty__induct,axiom, % 197.39/197.40 ! [V_P_2,V_A_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( hBOOL(hAPP(V_P_2,V_A_2)) % 197.39/197.40 => ( ! [B_a,B_A] : % 197.39/197.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) % 197.39/197.40 => ( hBOOL(hAPP(V_P_2,B_A)) % 197.39/197.40 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) % 197.39/197.40 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_map__removeAll__inj__on,axiom, % 197.39/197.40 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 197.39/197.40 ( 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))) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_removeAll__append,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_removeAll__filter__not,axiom, % 197.39/197.40 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 197.39/197.40 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 197.39/197.40 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_removeAll_Osimps_I2_J,axiom, % 197.39/197.40 ! [V_xs,T_a,V_y,V_x] : % 197.39/197.40 ( ( V_x = V_y % 197.39/197.40 => 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) ) % 197.39/197.40 & ( V_x != V_y % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_removeAll__filter__not__eq,axiom, % 197.39/197.40 ! [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))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_removeAll_Osimps_I1_J,axiom, % 197.39/197.40 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 197.39/197.40 % 197.39/197.40 fof(fact_distinct__removeAll,axiom, % 197.39/197.40 ! [V_x,V_xs,T_a] : % 197.39/197.40 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 197.39/197.40 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_removeAll__id,axiom, % 197.39/197.40 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.40 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.40 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_distinct__remove1__removeAll,axiom, % 197.39/197.40 ! [V_x,V_xs,T_a] : % 197.39/197.40 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 197.39/197.40 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_map__removeAll__inj,axiom, % 197.39/197.40 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 197.39/197.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_set__removeAll,axiom, % 197.39/197.40 ! [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)))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_folding__one__idem_Ounion__idem,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 197.39/197.40 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.40 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_finite__subset__induct,axiom, % 197.39/197.40 ! [V_P_2,V_A_2,V_F_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2)) % 197.39/197.40 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 197.39/197.40 => ( ! [B_a,B_F] : % 197.39/197.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 197.39/197.40 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F)) % 197.39/197.40 => ( hBOOL(hAPP(V_P_2,B_F)) % 197.39/197.40 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) ) % 197.39/197.40 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_folding__one__idem_Oidem,axiom, % 197.39/197.40 ! [V_x_2,V_F_2,V_f_2,T_b] : % 197.39/197.40 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 197.39/197.40 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_folding__one__idem_Oin__idem,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 197.39/197.40 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.40 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 197.39/197.40 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_folding__one__idem_Osubset__idem,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 197.39/197.40 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 197.39/197.40 => 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) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_setsum__strict__mono,axiom, % 197.39/197.40 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 197.39/197.40 ( ( class_Groups_Ocomm__monoid__add(T_c) % 197.39/197.40 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) ) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 197.39/197.40 => 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))) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_finite__conv__nat__seg__image,axiom, % 197.39/197.40 ! [V_A_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 <=> ? [B_n,B_f] : V_A_2 = hAPP(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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_distinct__concat,axiom, % 197.39/197.40 ! [V_xs_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2)) % 197.39/197.40 => ( ! [B_ys] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 197.39/197.40 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) ) % 197.39/197.40 => ( ! [B_ys] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 197.39/197.40 => ! [B_zs] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 197.39/197.40 => ( B_ys != B_zs % 197.39/197.40 => 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)) ) ) ) % 197.39/197.40 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_elem__le__sum,axiom, % 197.39/197.40 ! [V_ns_2,V_na_2] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_na_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_foldl__foldr,axiom, % 197.39/197.40 ! [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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_foldr__foldl,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_foldl__map,axiom, % 197.39/197.40 ! [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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_foldl__Nil,axiom, % 197.39/197.40 ! [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 ). % 197.39/197.40 % 197.39/197.40 fof(fact_start__le__sum,axiom, % 197.39/197.40 ! [V_ns_2,V_na_2,V_m_2] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 197.39/197.40 => 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_na_2),V_ns_2))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_foldr__conv__foldl,axiom, % 197.39/197.40 ! [V_a_2,V_xs_2,T_b] : % 197.39/197.40 ( class_Groups_Oab__semigroup__add(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_foldl__absorb0,axiom, % 197.39/197.40 ! [V_zs_2,V_x_2,T_b] : % 197.39/197.40 ( class_Groups_Omonoid__add(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_foldl__Cons,axiom, % 197.39/197.40 ! [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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_foldl__assoc,axiom, % 197.39/197.40 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 197.39/197.40 ( class_Groups_Osemigroup__add(T_b) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_foldl__append,axiom, % 197.39/197.40 ! [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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_listsum__foldl,axiom, % 197.39/197.40 ! [T_b] : % 197.39/197.40 ( class_Groups_Omonoid__add(T_b) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_foldl__foldr1__lemma,axiom, % 197.39/197.40 ! [V_xs_2,V_a_2,T_b] : % 197.39/197.40 ( class_Groups_Omonoid__add(T_b) % 197.39/197.40 => 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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_foldl__foldr1,axiom, % 197.39/197.40 ! [V_xs_2,T_b] : % 197.39/197.40 ( class_Groups_Omonoid__add(T_b) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_sum__eq__0__conv,axiom, % 197.39/197.40 ! [V_ns_2,V_m_2] : % 197.39/197.40 ( 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) % 197.39/197.40 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 197.39/197.40 & ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 197.39/197.40 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Sup__set__fold,axiom, % 197.39/197.40 ! [V_xs_2,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__set__fold,axiom, % 197.39/197.40 ! [V_xs_2,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Sup__fin__set__fold,axiom, % 197.39/197.40 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.40 ( class_Lattices_Olattice(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__fin__set__fold,axiom, % 197.39/197.40 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.40 ( class_Lattices_Olattice(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Min__fin__set__fold,axiom, % 197.39/197.40 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Max__fin__set__fold,axiom, % 197.39/197.40 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_min__max_OInf__fin__set__fold,axiom, % 197.39/197.40 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_min__max_OSup__fin__set__fold,axiom, % 197.39/197.40 ! [V_xs_2,V_x_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_SUPR__set__fold,axiom, % 197.39/197.40 ! [V_f_2,V_xs_2,T_c,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1__set,axiom, % 197.39/197.40 ! [V_xs_2,T_b] : % 197.39/197.40 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 197.39/197.40 => ( V_xs_2 != c_List_Olist_ONil(T_b) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INFI__set__fold,axiom, % 197.39/197.40 ! [V_f_2,V_xs_2,T_c,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__D,axiom, % 197.39/197.40 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 197.39/197.40 ( 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))) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__E,axiom, % 197.39/197.40 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 197.39/197.40 ( 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))) % 197.39/197.40 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 197.39/197.40 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INF2__D,axiom, % 197.39/197.40 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INF2__E,axiom, % 197.39/197.40 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 197.39/197.40 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INF1__D,axiom, % 197.39/197.40 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INF1__E,axiom, % 197.39/197.40 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 197.39/197.40 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_finite__INT,axiom, % 197.39/197.40 ! [V_A_2,T_c,V_I_2,T_b] : % 197.39/197.40 ( ? [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 197.39/197.40 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 197.39/197.40 => 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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_foldl__conv__concat,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INF__leI,axiom, % 197.39/197.40 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 197.39/197.40 => 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))) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__eq,axiom, % 197.39/197.40 ! [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))))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Un__Inter,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inter__def,axiom, % 197.39/197.40 ! [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))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INTER__eq__Inter__image,axiom, % 197.39/197.40 ! [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(hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inter__image__eq,axiom, % 197.39/197.40 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INTER__def,axiom, % 197.39/197.40 ! [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)))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INFI__bool__eq,axiom, % 197.39/197.40 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Collect__ball__eq,axiom, % 197.39/197.40 ! [V_P_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_P_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_P_2))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_vimage__INT,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__simps_I8_J,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__extend__simps_I8_J,axiom, % 197.39/197.40 ! [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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Collect__all__eq,axiom, % 197.39/197.40 ! [V_P_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)),V_P_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_P_2))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_folding__one_Oeq__fold,axiom, % 197.39/197.40 ! [V_A_2,V_F_2,V_f_2,T_b] : % 197.39/197.40 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1__singleton,axiom, % 197.39/197.40 ! [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 ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1__singleton__def,axiom, % 197.39/197.40 ! [V_a_2,V_f_2,T_b,V_g_2] : % 197.39/197.40 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2) % 197.39/197.40 => 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 ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_converse__INTER,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Image__INT__subset,axiom, % 197.39/197.40 ! [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)))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__simps_I5_J,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__extend__simps_I5_J,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__insert,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INF__subset,axiom, % 197.39/197.40 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.39/197.40 => 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))) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_le__INF__iff,axiom, % 197.39/197.40 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => ( 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))) % 197.39/197.40 <=> ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__subset__iff,axiom, % 197.39/197.40 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : % 197.39/197.40 ( 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))) % 197.39/197.40 <=> ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 197.39/197.40 => 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))) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__simps_I7_J,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__simps_I6_J,axiom, % 197.39/197.40 ! [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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__extend__simps_I7_J,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Un__INT__distrib,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__extend__simps_I6_J,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Un__INT__distrib2,axiom, % 197.39/197.40 ! [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))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__Un,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__Int__distrib,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INFI__apply,axiom, % 197.39/197.40 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INF__commute,axiom, % 197.39/197.40 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 => 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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INF__less__iff,axiom, % 197.39/197.40 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] : % 197.39/197.40 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 197.39/197.40 & class_Orderings_Olinorder(T_b) ) % 197.39/197.40 => ( 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)) % 197.39/197.40 <=> ? [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 197.39/197.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Pow__INT__eq,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INF__const,axiom, % 197.39/197.40 ! [V_M_2,T_b,V_A_2,T_c] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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 ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__extend__simps_I2_J,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 197.39/197.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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 ) % 197.39/197.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__extend__simps_I1_J,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 197.39/197.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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 ) % 197.39/197.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__simps_I2_J,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 197.39/197.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) % 197.39/197.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__simps_I1_J,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 197.39/197.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) % 197.39/197.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__empty,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__constant,axiom, % 197.39/197.40 ! [V_c_2,T_c,T_b,V_A_2] : % 197.39/197.40 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) % 197.39/197.40 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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 ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_b,T_c] : % 197.39/197.40 ( 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)) % 197.39/197.40 <=> ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 197.39/197.40 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_c,T_b] : % 197.39/197.40 ( 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) % 197.39/197.40 <=> ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 197.39/197.40 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__simps_I3_J,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 197.39/197.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) % 197.39/197.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__extend__simps_I3_J,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 197.39/197.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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) ) % 197.39/197.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__simps_I10_J,axiom, % 197.39/197.40 ! [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(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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__extend__simps_I10_J,axiom, % 197.39/197.40 ! [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(hAPP(c_Set_Oimage(T_c,T_d),V_f_2),V_A_2)),V_B_2) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__iff,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 197.39/197.40 ( 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))) % 197.39/197.40 <=> ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__absorb,axiom, % 197.39/197.40 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__lower,axiom, % 197.39/197.40 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.40 => 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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__insert__distrib,axiom, % 197.39/197.40 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INF__INT__eq2,axiom, % 197.39/197.40 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 <=> 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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INF__INT__eq,axiom, % 197.39/197.40 ! [V_x_2,V_r_2,T_c,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 <=> 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))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__extend__simps_I4_J,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 197.39/197.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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 ) % 197.39/197.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__simps_I7_J,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_UN__extend__simps_I7_J,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__simps_I9_J,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__extend__simps_I9_J,axiom, % 197.39/197.40 ! [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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Compl__UN,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Compl__INT,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Int__Inter__image,axiom, % 197.39/197.40 ! [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(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(hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_concat__conv__foldl,axiom, % 197.39/197.40 ! [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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Sup__fin_OF__eq,axiom, % 197.39/197.40 ! [V_A_2,T_b] : % 197.39/197.40 ( class_Lattices_Olattice(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => 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) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inf__fin_OF__eq,axiom, % 197.39/197.40 ! [V_A_2,T_b] : % 197.39/197.40 ( class_Lattices_Olattice(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => 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) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Min_OF__eq,axiom, % 197.39/197.40 ! [V_A_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => 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) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Max_OF__eq,axiom, % 197.39/197.40 ! [V_A_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => 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) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 197.39/197.40 ! [V_A_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => 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) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 197.39/197.40 ! [V_A_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => 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) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_rev__foldl__cons,axiom, % 197.39/197.40 ! [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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__greaterThan__UNIV,axiom, % 197.39/197.40 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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INT__simps_I4_J,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 197.39/197.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) % 197.39/197.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_sort__foldl__insort,axiom, % 197.39/197.40 ! [V_xs_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => 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) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1__belowI,axiom, % 197.39/197.40 ! [V_a_2,V_A_2,T_b] : % 197.39/197.40 ( class_Lattices_Osemilattice__inf(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.40 => 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)) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_below__fold1__iff,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,T_b] : % 197.39/197.40 ( class_Lattices_Osemilattice__inf(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( 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))) % 197.39/197.40 <=> ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_min__max_Ofold1__belowI,axiom, % 197.39/197.40 ! [V_a_2,V_A_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.40 => 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)) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1__insert__idem,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,T_b] : % 197.39/197.40 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => 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)) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_min__max_Obelow__fold1__iff,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( 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))) % 197.39/197.40 <=> ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1__below__iff,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( 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)) % 197.39/197.40 <=> ? [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1__Un2,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_b] : % 197.39/197.40 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.40 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1__strict__below__iff,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( 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)) % 197.39/197.40 <=> ? [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_strict__below__fold1__iff,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( 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))) % 197.39/197.40 <=> ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1__insert,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,T_b] : % 197.39/197.40 ( class_Groups_Oab__semigroup__mult(T_b) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.40 => 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)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1__antimono,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_b] : % 197.39/197.40 ( class_Orderings_Olinorder(T_b) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.40 => 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))) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1__Un,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_b] : % 197.39/197.40 ( class_Groups_Oab__semigroup__mult(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 197.39/197.40 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( 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)) % 197.39/197.40 => 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)) ) ) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_semilattice__big_OF__eq,axiom, % 197.39/197.40 ! [V_A_2,V_F_2,V_f_2,T_b] : % 197.39/197.40 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1__in,axiom, % 197.39/197.40 ! [V_A_2,T_b] : % 197.39/197.40 ( class_Groups_Oab__semigroup__mult(T_b) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( ! [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)))))) % 197.39/197.40 => 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)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INF2__iff,axiom, % 197.39/197.40 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 <=> ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_INF1__iff,axiom, % 197.39/197.40 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 <=> ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Image__INT__eq,axiom, % 197.39/197.40 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] : % 197.39/197.40 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_image__INT,axiom, % 197.39/197.40 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] : % 197.39/197.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 197.39/197.40 => ( ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) % 197.39/197.40 => 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)) ) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2)) % 197.39/197.40 => hAPP(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),hAPP(c_Set_Oimage(T_b,T_c),V_f_2)),V_B_2)) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_single__valued__Id__on,axiom, % 197.39/197.40 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_single__valued__Id,axiom, % 197.39/197.40 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_single__valued__rel__pow,axiom, % 197.39/197.40 ! [V_na_2,V_R_2,T_b] : % 197.39/197.40 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2) % 197.39/197.40 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_single__valued__subset,axiom, % 197.39/197.40 ! [V_s_2,V_r_2,T_c,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 197.39/197.40 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_single__valued__rel__comp,axiom, % 197.39/197.40 ! [V_s_2,T_d,V_r_2,T_c,T_b] : % 197.39/197.40 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 197.39/197.40 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_single__valuedD,axiom, % 197.39/197.40 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] : % 197.39/197.40 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 197.39/197.40 => ( 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)) % 197.39/197.40 => ( 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)) % 197.39/197.40 => V_y_2 = V_z_2 ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_single__valued__def,axiom, % 197.39/197.40 ! [V_r_2,T_c,T_b] : % 197.39/197.40 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 197.39/197.40 <=> ! [B_x,B_y] : % 197.39/197.40 ( 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)) % 197.39/197.40 => ! [B_z] : % 197.39/197.40 ( 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)) % 197.39/197.40 => B_y = B_z ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_single__valued__confluent,axiom, % 197.39/197.40 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 197.39/197.40 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2) % 197.39/197.40 => ( 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))) % 197.39/197.40 => ( 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))) % 197.39/197.40 => ( 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))) % 197.39/197.40 | 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))) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Image__Int__eq,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : % 197.39/197.40 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2)) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_hom__fold1__commute,axiom, % 197.39/197.40 ! [V_N_2,V_h_2,T_b] : % 197.39/197.40 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 197.39/197.40 => ( ! [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)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 197.39/197.40 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => 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(hAPP(c_Set_Oimage(T_b,T_b),V_h_2),V_N_2)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold__graph__permute__diff,axiom, % 197.39/197.40 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] : % 197.39/197.40 ( class_Groups_Oab__semigroup__mult(T_b) % 197.39/197.40 => ( 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) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.40 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 197.39/197.40 => 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) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold__graph__insert__swap,axiom, % 197.39/197.40 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] : % 197.39/197.40 ( class_Groups_Oab__semigroup__mult(T_b) % 197.39/197.40 => ( 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) % 197.39/197.40 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 197.39/197.40 => 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)) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold__graph_OinsertI,axiom, % 197.39/197.40 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 197.39/197.40 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.40 => ( c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2,V_y_2) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold__graph__imp__finite,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 197.39/197.40 ( c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2,V_x_2) % 197.39/197.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_empty__fold__graphE,axiom, % 197.39/197.40 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] : % 197.39/197.40 ( 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) % 197.39/197.40 => V_x_2 = V_z_2 ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold__graph_OemptyI,axiom, % 197.39/197.40 ! [V_z_2,V_f_2,T_c,T_b] : 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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold__graph_Oequations_I1_J,axiom, % 197.39/197.40 ! [V_z_2,V_f_2,T_c,T_b] : 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) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Diff1__fold__graph,axiom, % 197.39/197.40 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 197.39/197.40 ( 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) % 197.39/197.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1Set_Ointros,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] : % 197.39/197.40 ( c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2,V_x_2) % 197.39/197.40 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 197.39/197.40 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 197.39/197.40 ( ( class_Groups_Ocomm__monoid__add(T_b) % 197.39/197.40 & class_Groups_Ocomm__monoid__mult(T_b) ) % 197.39/197.40 => ( V_A_2 = V_B_2 % 197.39/197.40 => ( c_Nat__Transfer_Onat__set(V_B_2) % 197.39/197.40 => ( ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 197.39/197.40 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 197.39/197.40 => 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) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_empty__fold1SetE,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1Set__nonempty,axiom, % 197.39/197.40 ! [V_x_2,V_A_2,V_f_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2)) % 197.39/197.40 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1Set__sing,axiom, % 197.39/197.40 ! [V_b_2,V_a_2,V_f_2,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 <=> V_a_2 = V_b_2 ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1__def,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_measures__lesseq,axiom, % 197.39/197.40 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 197.39/197.40 ( 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))) % 197.39/197.40 => ( 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))) % 197.39/197.40 => 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)))) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_measures__less,axiom, % 197.39/197.40 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 197.39/197.40 ( 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))) % 197.39/197.40 => 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)))) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_wf__measures,axiom, % 197.39/197.40 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_in__measures_I1_J,axiom, % 197.39/197.40 ! [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))))) ). % 197.39/197.40 % 197.39/197.40 fof(fact_measures__def,axiom, % 197.39/197.40 ! [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)) ). % 197.39/197.40 % 197.39/197.40 fof(fact_in__measures_I2_J,axiom, % 197.39/197.40 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] : % 197.39/197.40 ( 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)))) % 197.39/197.40 <=> ( 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))) % 197.39/197.40 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 197.39/197.40 & 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))) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_max__extp_Oequations,axiom, % 197.39/197.40 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 197.39/197.40 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 197.39/197.40 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 197.39/197.40 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 197.39/197.40 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 & ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 197.39/197.40 => ? [B_xa] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 197.39/197.40 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_max__ext_Ointros,axiom, % 197.39/197.40 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 197.39/197.40 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => ( ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 197.39/197.40 => ? [B_xa] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 197.39/197.40 & 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)) ) ) % 197.39/197.40 => 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))) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_inj__on__Inter,axiom, % 197.39/197.40 ! [V_f_2,T_c,T_b,V_S_2] : % 197.39/197.40 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 197.39/197.40 => ( ! [B_A] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2)) % 197.39/197.40 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) ) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_insert__fold1SetE,axiom, % 197.39/197.40 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 => ~ ! [B_a,B_A] : % 197.39/197.40 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 197.39/197.40 => ( c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A,V_x_2) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_fold1Set_Oequations,axiom, % 197.39/197.40 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] : % 197.39/197.40 ( 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)) % 197.39/197.40 <=> ? [B_a,B_A] : % 197.39/197.40 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 197.39/197.40 & c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A,V_a3_2) % 197.39/197.40 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Inter__subset,axiom, % 197.39/197.40 ! [V_B_2,V_A_2,T_b] : % 197.39/197.40 ( ! [B_X] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 197.39/197.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) ) % 197.39/197.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 197.39/197.40 => 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)) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_foldl__apply,axiom, % 197.39/197.40 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] : % 197.39/197.40 ( ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 197.39/197.40 => hAPP(hAPP(c_Fun_Ocomp(T_d,T_d,T_c),hAPP(V_f_2,B_x)),V_h_2) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_c),V_h_2),hAPP(V_g_2,B_x)) ) % 197.39/197.40 => 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)) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_folding__one__idem_Ohom__commute,axiom, % 197.39/197.40 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] : % 197.39/197.40 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 197.39/197.40 => ( ! [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)) % 197.39/197.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 197.39/197.40 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 197.39/197.40 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(hAPP(c_Set_Oimage(T_b,T_b),V_h_2),V_N_2)) ) ) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_setprod__pos__nat,axiom, % 197.39/197.40 ! [V_f_2,V_S_2,T_b] : % 197.39/197.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 197.39/197.40 => ( ! [B_x] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 197.39/197.40 => 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))) ) % 197.39/197.40 => 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))) ) ) ). % 197.39/197.40 % 197.39/197.40 fof(fact_Rep__Integ__cases,axiom, % 197.39/197.40 ! [V_y_2] : % 197.39/197.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 197.39/197.40 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 197.39/197.40 % 197.39/197.40 %----Arity declarations (219) % 197.39/197.40 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 197.39/197.40 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Lattices_Obounded__lattice(T_1) % 197.39/197.40 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 197.39/197.40 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Lattices_Obounded__lattice(T_1) % 197.39/197.40 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Lattices_Obounded__lattice(T_1) % 197.39/197.40 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Lattices_Olattice(T_1) % 197.39/197.40 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Lattices_Olattice(T_1) % 197.39/197.40 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Lattices_Odistrib__lattice(T_1) % 197.39/197.40 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Lattices_Oboolean__algebra(T_1) % 197.39/197.40 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Orderings_Opreorder,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Orderings_Opreorder(T_1) % 197.39/197.40 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Finite__Set_Ofinite,axiom, % 197.39/197.40 ! [T_1,T_2] : % 197.39/197.40 ( ( class_Finite__Set_Ofinite(T_2) % 197.39/197.40 & class_Finite__Set_Ofinite(T_1) ) % 197.39/197.40 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Lattices_Olattice,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Lattices_Olattice(T_1) % 197.39/197.40 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Orderings_Oorder,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Orderings_Oorder(T_1) % 197.39/197.40 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Orderings_Otop,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Orderings_Otop(T_1) % 197.39/197.40 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Orderings_Oord,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Orderings_Oord(T_1) % 197.39/197.40 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Orderings_Obot,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Orderings_Obot(T_1) % 197.39/197.40 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Groups_Ouminus,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Groups_Ouminus(T_1) % 197.39/197.40 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Groups_Ominus,axiom, % 197.39/197.40 ! [T_2,T_1] : % 197.39/197.40 ( class_Groups_Ominus(T_1) % 197.39/197.40 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_fun__Enum_Oenum,axiom, % 197.39/197.40 ! [T_1,T_2] : % 197.39/197.40 ( ( class_Enum_Oenum(T_2) % 197.39/197.40 & class_Enum_Oenum(T_1) ) % 197.39/197.40 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Com__Ocom__Nat_Osize,axiom, % 197.39/197.40 class_Nat_Osize(tc_Com_Ocom) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 197.39/197.40 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 197.39/197.40 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 197.39/197.40 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 197.39/197.40 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 197.39/197.40 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 197.39/197.40 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 197.39/197.40 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 197.39/197.40 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 197.39/197.40 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 197.39/197.40 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 197.39/197.40 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 197.39/197.40 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 197.39/197.40 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 197.39/197.40 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 197.39/197.40 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 197.39/197.40 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 197.39/197.40 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 197.39/197.40 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 197.39/197.40 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 197.39/197.40 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 197.39/197.40 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 197.39/197.40 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 197.39/197.40 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 197.39/197.40 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 197.39/197.40 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 197.39/197.40 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 197.39/197.40 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 197.39/197.40 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 197.39/197.40 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 197.39/197.40 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 197.39/197.40 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 197.39/197.40 class_Divides_Osemiring__div(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 197.39/197.40 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 197.39/197.40 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 197.39/197.40 class_Groups_Oab__group__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 197.39/197.40 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 197.39/197.40 class_Rings_Oordered__ring(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 197.39/197.40 class_Orderings_Opreorder(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 197.39/197.40 class_Orderings_Olinorder(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 197.39/197.40 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 197.39/197.40 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 197.39/197.40 class_Groups_Omonoid__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 197.39/197.40 class_Rings_Osemiring__1(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 197.39/197.40 class_Rings_Osemiring__0(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 197.39/197.40 class_Lattices_Olattice(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 197.39/197.40 class_Groups_Ogroup__add(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 197.39/197.40 class_Divides_Oring__div(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 197.39/197.40 class_Rings_Omult__zero(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom, % 197.39/197.40 class_Rings_Ocomm__ring(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 197.39/197.40 class_Orderings_Oorder(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 197.39/197.40 class_Int_Oring__char__0(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 197.39/197.40 class_Int_Onumber__ring(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 197.39/197.40 class_Rings_Osemiring(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Orderings_Oord,axiom, % 197.39/197.40 class_Orderings_Oord(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 197.39/197.40 class_Groups_Ouminus(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 197.39/197.40 class_Groups_Osgn__if(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 197.39/197.40 class_Groups_Oabs__if(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 197.39/197.40 class_Rings_Oring__1(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Ominus,axiom, % 197.39/197.40 class_Groups_Ominus(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Power_Opower,axiom, % 197.39/197.40 class_Power_Opower(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Ozero,axiom, % 197.39/197.40 class_Groups_Ozero(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Oring,axiom, % 197.39/197.40 class_Rings_Oring(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Oidom,axiom, % 197.39/197.40 class_Rings_Oidom(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Int_Onumber,axiom, % 197.39/197.40 class_Int_Onumber(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Groups_Oone,axiom, % 197.39/197.40 class_Groups_Oone(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Int__Oint__Rings_Odvd,axiom, % 197.39/197.40 class_Rings_Odvd(tc_Int_Oint) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 197.39/197.40 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 197.39/197.40 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 197.39/197.40 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 197.39/197.40 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 197.39/197.40 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 197.39/197.40 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 197.39/197.40 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 197.39/197.40 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 197.39/197.40 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 197.39/197.40 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 197.39/197.40 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 197.39/197.40 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 197.39/197.40 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 197.39/197.40 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 197.39/197.40 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 197.39/197.40 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 197.39/197.40 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 197.39/197.40 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 197.39/197.40 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 197.39/197.40 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 197.39/197.40 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 197.39/197.40 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 197.39/197.40 class_Orderings_Owellorder(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 197.39/197.40 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 197.39/197.40 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 197.39/197.40 class_Orderings_Opreorder(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 197.39/197.40 class_Orderings_Olinorder(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 197.39/197.40 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 197.39/197.40 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 197.39/197.40 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 197.39/197.40 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 197.39/197.40 class_Lattices_Olattice(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 197.39/197.40 class_Rings_Omult__zero(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 197.39/197.40 class_Orderings_Oorder(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 197.39/197.40 class_Rings_Osemiring(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 197.39/197.40 class_Orderings_Oord(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 197.39/197.40 class_Orderings_Obot(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 197.39/197.40 class_Groups_Ominus(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Power_Opower,axiom, % 197.39/197.40 class_Power_Opower(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 197.39/197.40 class_Groups_Ozero(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Int_Onumber,axiom, % 197.39/197.40 class_Int_Onumber(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Groups_Oone,axiom, % 197.39/197.40 class_Groups_Oone(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Rings_Odvd,axiom, % 197.39/197.40 class_Rings_Odvd(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nat__Onat__Nat_Osize,axiom, % 197.39/197.40 class_Nat_Osize(tc_Nat_Onat) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 197.39/197.40 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 197.39/197.40 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 197.39/197.40 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 197.39/197.40 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 197.39/197.40 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 197.39/197.40 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 197.39/197.40 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 197.39/197.40 class_Orderings_Opreorder(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 197.39/197.40 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 197.39/197.40 class_Lattices_Olattice(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 197.39/197.40 class_Orderings_Oorder(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 197.39/197.40 class_Orderings_Otop(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 197.39/197.40 class_Orderings_Oord(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 197.39/197.40 class_Orderings_Obot(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 197.39/197.40 class_Groups_Ouminus(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 197.39/197.40 class_Groups_Ominus(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 197.39/197.40 class_Enum_Oenum(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_HOL__Obool__Nat_Osize,axiom, % 197.39/197.40 class_Nat_Osize(tc_HOL_Obool) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Com__Ostate__Nat_Osize,axiom, % 197.39/197.40 class_Nat_Osize(tc_Com_Ostate) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Com__Ovname__Nat_Osize,axiom, % 197.39/197.40 class_Nat_Osize(tc_Com_Ovname) ). % 197.39/197.40 % 197.39/197.40 fof(arity_List__Olist__Nat_Osize,axiom, % 197.39/197.40 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 197.39/197.40 % 197.39/197.40 fof(arity_sum__Finite__Set_Ofinite,axiom, % 197.39/197.40 ! [T_1,T_2] : % 197.39/197.40 ( ( class_Finite__Set_Ofinite(T_2) % 197.39/197.40 & class_Finite__Set_Ofinite(T_1) ) % 197.39/197.40 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_sum__Enum_Oenum,axiom, % 197.39/197.40 ! [T_1,T_2] : % 197.39/197.40 ( ( class_Enum_Oenum(T_2) % 197.39/197.40 & class_Enum_Oenum(T_1) ) % 197.39/197.40 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_sum__Nat_Osize,axiom, % 197.39/197.40 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 197.39/197.40 ! [T_1] : % 197.39/197.40 ( class_Finite__Set_Ofinite(T_1) % 197.39/197.40 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 197.39/197.40 ! [T_1] : % 197.39/197.40 ( class_Enum_Oenum(T_1) % 197.39/197.40 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Option__Ooption__Nat_Osize,axiom, % 197.39/197.40 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom, % 197.39/197.40 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ). % 197.39/197.40 % 197.39/197.40 fof(arity_prod__Finite__Set_Ofinite,axiom, % 197.39/197.40 ! [T_1,T_2] : % 197.39/197.40 ( ( class_Finite__Set_Ofinite(T_2) % 197.39/197.40 & class_Finite__Set_Ofinite(T_1) ) % 197.39/197.40 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_prod__Enum_Oenum,axiom, % 197.39/197.40 ! [T_1,T_2] : % 197.39/197.40 ( ( class_Enum_Oenum(T_2) % 197.39/197.40 & class_Enum_Oenum(T_1) ) % 197.39/197.40 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 197.39/197.40 % 197.39/197.40 fof(arity_prod__Nat_Osize,axiom, % 197.39/197.40 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 197.39/197.40 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 197.39/197.40 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 197.39/197.40 class_Nat_Osize(tc_Product__Type_Ounit) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom, % 197.39/197.40 class_Nat_Osize(tc_Code__Evaluation_Oterm) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom, % 197.39/197.40 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 197.39/197.40 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 197.39/197.40 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 197.39/197.40 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 197.39/197.40 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 197.39/197.40 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 197.39/197.40 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 197.39/197.40 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 197.39/197.40 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 197.39/197.40 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 197.39/197.40 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 197.39/197.40 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 197.39/197.40 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 197.39/197.40 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 197.39/197.40 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 197.39/197.40 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 197.39/197.40 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 197.39/197.40 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 197.39/197.40 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 197.39/197.40 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 197.39/197.40 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 197.39/197.40 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 197.39/197.40 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 197.39/197.40 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 197.39/197.40 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 197.39/197.40 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 197.39/197.40 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 197.39/197.40 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 197.39/197.40 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 197.39/197.40 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 197.39/197.40 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 197.39/197.40 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 197.39/197.40 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 197.39/197.40 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 197.39/197.40 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 197.39/197.40 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 197.39/197.40 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom, % 197.39/197.40 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 197.39/197.40 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 197.39/197.40 % 197.39/197.40 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 197.39/197.40 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 197.39/197.40 % 197.39/197.40 %----Helper facts (20) % 197.39/197.40 fof(help_c__COMBI__1,axiom, % 197.39/197.40 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 197.39/197.40 % 197.39/197.40 fof(help_c__COMBK__1,axiom, % 197.39/197.40 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 197.39/197.40 % 197.39/197.40 fof(help_c__COMBB__1,axiom, % 197.39/197.40 ! [V_R_2,V_Q_2,V_P_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__COMBC__1,axiom, % 197.39/197.40 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),V_Q_2) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__COMBS__1,axiom, % 197.39/197.40 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fequal__1,axiom, % 197.39/197.40 ! [V_y_2,V_x_2] : % 197.39/197.40 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 197.39/197.40 | V_x_2 = V_y_2 ) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fequal__2,axiom, % 197.39/197.40 ! [V_y_2,V_x_2] : % 197.39/197.40 ( V_x_2 != V_y_2 % 197.39/197.40 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fFalse__1,axiom, % 197.39/197.40 ~ hBOOL(c_fFalse) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fTrue__1,axiom, % 197.39/197.40 hBOOL(c_fTrue) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fNot__1,axiom, % 197.39/197.40 ! [V_P_2] : % 197.39/197.40 ( ~ hBOOL(hAPP(c_fNot,V_P_2)) % 197.39/197.40 | ~ hBOOL(V_P_2) ) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fNot__2,axiom, % 197.39/197.40 ! [V_P_2] : % 197.39/197.40 ( ~ ~ hBOOL(V_P_2) % 197.39/197.40 | hBOOL(hAPP(c_fNot,V_P_2)) ) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fconj__1,axiom, % 197.39/197.40 ! [V_Q_2,V_P_2] : % 197.39/197.40 ( ~ hBOOL(V_P_2) % 197.39/197.40 | ~ hBOOL(V_Q_2) % 197.39/197.40 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fconj__2,axiom, % 197.39/197.40 ! [V_Q_2,V_P_2] : % 197.39/197.40 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) % 197.39/197.40 | hBOOL(V_P_2) ) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fconj__3,axiom, % 197.39/197.40 ! [V_Q_2,V_P_2] : % 197.39/197.40 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) % 197.39/197.40 | hBOOL(V_Q_2) ) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fdisj__1,axiom, % 197.39/197.40 ! [V_Q_2,V_P_2] : % 197.39/197.40 ( ~ hBOOL(V_P_2) % 197.39/197.40 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fdisj__2,axiom, % 197.39/197.40 ! [V_P_2,V_Q_2] : % 197.39/197.40 ( ~ hBOOL(V_Q_2) % 197.39/197.40 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fdisj__3,axiom, % 197.39/197.40 ! [V_Q_2,V_P_2] : % 197.39/197.40 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) % 197.39/197.40 | hBOOL(V_P_2) % 197.39/197.40 | hBOOL(V_Q_2) ) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fimplies__1,axiom, % 197.39/197.40 ! [V_Q_2,V_P_2] : % 197.39/197.40 ( hBOOL(V_P_2) % 197.39/197.40 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fimplies__2,axiom, % 197.39/197.40 ! [V_P_2,V_Q_2] : % 197.39/197.40 ( ~ hBOOL(V_Q_2) % 197.39/197.40 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ). % 197.39/197.40 % 197.39/197.40 fof(help_c__fimplies__3,axiom, % 197.39/197.40 ! [V_Q_2,V_P_2] : % 197.39/197.40 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) % 197.39/197.40 | ~ hBOOL(V_P_2) % 197.39/197.40 | hBOOL(V_Q_2) ) ). % 197.39/197.40 % 197.39/197.40 %----Conjectures (1) % 197.39/197.40 fof(conj_0,conjecture, % 197.39/197.40 ( hBOOL(c_Hoare__Mirabelle_Otriple_Otriple__case(t_a,tc_HOL_Obool,hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_HOL_Obool))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_HOL_Obool)),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(t_a,tc_HOL_Obool),tc_HOL_Obool,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_HOL_OAll(t_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_HOL_Obool))),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_HOL_Obool)),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_HOL_Obool),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,t_a),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBC(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBS(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(t_a,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_Com_Ocom),c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))),hAPP(hAPP(c_COMBC(tc_Com_Ocom,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_Natural_Oevaln)),hAPP(c_Nat_OSuc,v_n)))))))))),v_t)) % 197.39/197.40 => hBOOL(c_Hoare__Mirabelle_Otriple_Otriple__case(t_a,tc_HOL_Obool,hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_HOL_Obool))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_HOL_Obool)),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(t_a,tc_HOL_Obool),tc_HOL_Obool,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_HOL_OAll(t_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_HOL_Obool))),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_HOL_Obool)),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_HOL_Obool),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,t_a),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBC(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBS(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(t_a,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_Com_Ocom),c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))),hAPP(hAPP(c_COMBC(tc_Com_Ocom,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_Natural_Oevaln)),v_n))))))))),v_t)) ) ). % 197.39/197.40 % 197.39/197.40 %------------------------------------------------------------------------------ % 197.39/197.40 %------------------------------------------- % 197.39/197.40 % Proof found % 197.39/197.40 % SZS status Theorem for theBenchmark % 197.39/197.40 % SZS output start Proof % 197.39/197.41 %ClaNum:10256(EqnAxiom:2925) % 197.39/197.41 %VarNum:69825(SingletonVarNum:20505) % 197.39/197.41 %MaxLitNum:8 % 197.39/197.41 %MaxfuncDepth:15 % 197.39/197.41 %SharedTerms:1130 % 197.39/197.41 %goalClause: 4467 4586 % 197.39/197.41 %singleGoalClaCount:2 % 197.39/197.41 [2929]P1(a190) % 197.39/197.41 [2930]P2(a881) % 197.39/197.41 [2931]P2(a1) % 197.39/197.41 [2932]P2(a115) % 197.39/197.41 [2933]P3(a881) % 197.39/197.41 [2934]P3(a1) % 197.39/197.41 [2935]P3(a115) % 197.39/197.41 [2936]P87(a881) % 197.39/197.41 [2937]P4(a881) % 197.39/197.41 [2938]P4(a1) % 197.39/197.41 [2939]P4(a115) % 197.39/197.41 [2940]P5(a881) % 197.39/197.41 [2941]P5(a1) % 197.39/197.41 [2942]P5(a115) % 197.39/197.41 [2943]P6(a881) % 197.39/197.41 [2944]P6(a1) % 197.39/197.41 [2945]P6(a115) % 197.39/197.41 [2946]P69(a881) % 197.39/197.41 [2947]P69(a1) % 197.39/197.41 [2948]P69(a115) % 197.39/197.41 [2949]P70(a881) % 197.39/197.41 [2950]P70(a1) % 197.39/197.41 [2951]P70(a115) % 197.39/197.41 [2952]P71(a1) % 197.39/197.41 [2953]P108(a881) % 197.39/197.41 [2954]P108(a1) % 197.39/197.41 [2955]P108(a115) % 197.39/197.41 [2956]P140(a881) % 197.39/197.41 [2957]P140(a1) % 197.39/197.41 [2958]P88(a1) % 197.39/197.41 [2959]P113(a1) % 197.39/197.41 [2960]P76(a881) % 197.39/197.41 [2961]P76(a1) % 197.39/197.41 [2962]P76(a115) % 197.39/197.41 [2963]P141(a881) % 197.39/197.41 [2964]P141(a1) % 197.39/197.41 [2965]P141(a115) % 197.39/197.41 [2966]P114(a1) % 197.39/197.41 [2967]P121(a881) % 197.39/197.41 [2968]P121(a1) % 197.39/197.41 [2969]P121(a115) % 197.39/197.41 [2970]P91(a881) % 197.39/197.41 [2971]P91(a1) % 197.39/197.41 [2972]P91(a115) % 197.39/197.41 [2973]P101(a881) % 197.39/197.41 [2974]P101(a1) % 197.39/197.41 [2975]P101(a115) % 197.39/197.41 [2976]P104(a874) % 197.39/197.41 [2977]P104(a881) % 197.39/197.41 [2978]P104(a1) % 197.39/197.41 [2979]P104(a115) % 197.39/197.41 [2980]P105(a874) % 197.39/197.41 [2981]P105(a881) % 197.39/197.41 [2982]P105(a1) % 197.39/197.41 [2983]P105(a115) % 197.39/197.41 [2984]P106(a874) % 197.39/197.41 [2985]P106(a881) % 197.39/197.41 [2986]P106(a1) % 197.39/197.41 [2987]P106(a115) % 197.39/197.41 [2988]P78(a881) % 197.39/197.41 [2989]P78(a1) % 197.39/197.41 [2990]P78(a115) % 197.39/197.41 [2991]P82(a881) % 197.39/197.41 [2992]P82(a1) % 197.39/197.41 [2993]P82(a115) % 197.39/197.41 [2994]P83(a881) % 197.39/197.41 [2995]P83(a1) % 197.39/197.41 [2996]P83(a115) % 197.39/197.41 [2997]P84(a1) % 197.39/197.41 [2998]P79(a881) % 197.39/197.41 [2999]P79(a1) % 197.39/197.41 [3000]P79(a115) % 197.39/197.41 [3001]P124(a1) % 197.39/197.41 [3002]P109(a881) % 197.39/197.41 [3003]P109(a1) % 197.39/197.41 [3004]P109(a115) % 197.39/197.41 [3005]P77(a881) % 197.39/197.41 [3006]P77(a1) % 197.39/197.41 [3007]P77(a115) % 197.39/197.41 [3008]P72(a881) % 197.39/197.41 [3009]P72(a1) % 197.39/197.41 [3010]P72(a115) % 197.39/197.41 [3011]P67(a881) % 197.39/197.41 [3012]P67(a1) % 197.39/197.41 [3013]P67(a115) % 197.39/197.41 [3014]P136(a1) % 197.39/197.41 [3015]P127(a881) % 197.39/197.41 [3016]P127(a1) % 197.39/197.41 [3017]P127(a115) % 197.39/197.41 [3018]P137(a1) % 197.39/197.41 [3019]P128(a881) % 197.39/197.41 [3020]P128(a1) % 197.39/197.41 [3021]P128(a115) % 197.39/197.41 [3022]P138(a881) % 197.39/197.41 [3023]P138(a1) % 197.39/197.41 [3024]P138(a115) % 197.39/197.41 [3025]P110(a881) % 197.39/197.41 [3026]P110(a1) % 197.39/197.41 [3027]P110(a115) % 197.39/197.41 [3028]P139(a881) % 197.39/197.41 [3029]P139(a1) % 197.39/197.41 [3030]P139(a115) % 197.39/197.41 [3031]P130(a881) % 197.39/197.41 [3032]P130(a1) % 197.39/197.41 [3033]P130(a115) % 197.39/197.41 [3034]P131(a1) % 197.39/197.41 [3035]P133(a881) % 197.39/197.41 [3036]P133(a1) % 197.39/197.41 [3037]P133(a115) % 197.39/197.41 [3038]P132(a881) % 197.39/197.41 [3039]P132(a1) % 197.39/197.41 [3040]P132(a115) % 197.39/197.41 [3041]P122(a1) % 197.39/197.41 [3042]P123(a1) % 197.39/197.41 [3043]P115(a881) % 197.39/197.41 [3044]P115(a1) % 197.39/197.41 [3045]P115(a115) % 197.39/197.41 [3046]P129(a881) % 197.39/197.41 [3047]P129(a1) % 197.39/197.41 [3048]P129(a115) % 197.39/197.41 [3049]P125(a881) % 197.39/197.41 [3050]P125(a1) % 197.39/197.41 [3051]P125(a115) % 197.39/197.41 [3052]P126(a1) % 197.39/197.41 [3053]P7(a1) % 197.39/197.41 [3054]P59(a881) % 197.39/197.41 [3055]P59(a1) % 197.39/197.41 [3056]P59(a115) % 197.39/197.41 [3057]P73(a1) % 197.39/197.41 [3058]P80(a1) % 197.39/197.41 [3059]P60(a1) % 197.39/197.41 [3060]P135(a1) % 197.39/197.41 [3061]P116(a1) % 197.39/197.41 [3062]P111(a1) % 197.39/197.41 [3063]P92(a874) % 197.39/197.41 [3064]P86(a874) % 197.39/197.41 [3065]P86(a1) % 197.39/197.41 [3066]P74(a874) % 197.39/197.41 [3067]P74(a881) % 197.39/197.41 [3068]P74(a1) % 197.39/197.41 [3069]P74(a115) % 197.39/197.41 [3070]P89(a1) % 197.39/197.41 [3071]P90(a881) % 197.39/197.41 [3072]P90(a1) % 197.39/197.41 [3073]P90(a115) % 197.39/197.41 [3074]P81(a1) % 197.39/197.41 [3075]P134(a1) % 197.39/197.41 [3076]P68(a1) % 197.39/197.41 [3077]P102(a874) % 197.39/197.41 [3078]P102(a875) % 197.39/197.41 [3079]P102(a876) % 197.39/197.41 [3080]P102(a881) % 197.39/197.41 [3081]P102(a115) % 197.39/197.41 [3082]P102(a884) % 197.39/197.41 [3083]P102(a337) % 197.39/197.41 [3084]P102(a878) % 197.39/197.41 [3085]P107(a874) % 197.39/197.41 [3086]P117(a881) % 197.39/197.41 [3087]P117(a1) % 197.39/197.41 [3088]P117(a115) % 197.39/197.41 [3089]P112(a1) % 197.39/197.41 [3090]P94(a874) % 197.39/197.41 [3091]P94(a881) % 197.39/197.41 [3092]P94(a1) % 197.39/197.41 [3093]P95(a874) % 197.39/197.41 [3094]P95(a881) % 197.39/197.41 [3095]P95(a1) % 197.39/197.41 [3096]P96(a874) % 197.39/197.41 [3097]P8(a874) % 197.39/197.41 [3098]P61(a874) % 197.39/197.41 [3099]P61(a884) % 197.39/197.41 [3100]P100(a874) % 197.39/197.41 [3101]P100(a881) % 197.39/197.41 [3102]P100(a1) % 197.39/197.41 [3103]P99(a874) % 197.39/197.41 [3104]P99(a881) % 197.39/197.41 [3105]P99(a1) % 197.39/197.41 [3106]P62(a874) % 197.39/197.41 [3107]P62(a884) % 197.39/197.41 [3108]P97(a874) % 197.39/197.41 [3109]P103(a874) % 197.39/197.41 [3110]P103(a881) % 197.39/197.41 [3111]P75(a881) % 197.39/197.41 [3112]P75(a1) % 197.39/197.41 [3113]P75(a115) % 197.39/197.41 [3114]P85(a881) % 197.39/197.41 [3115]P85(a1) % 197.39/197.41 [3116]P85(a115) % 197.39/197.41 [3117]P98(a874) % 197.39/197.41 [3133]P34(a881,a247) % 197.39/197.41 [3134]P34(a881,a331) % 197.39/197.41 [3208]P35(a881,a881,a128) % 197.39/197.41 [4470]~E(a100,a94) % 197.39/197.41 [4471]~P1(a191) % 197.39/197.41 [2926]E(f2(a1),a94) % 197.39/197.41 [2927]E(f3(a115),a4) % 197.39/197.41 [2928]E(f116(a115),a5) % 197.39/197.41 [3118]E(f31(a25),f2(a881)) % 197.39/197.41 [3119]E(f95(a191),f2(a881)) % 197.39/197.41 [3120]E(f95(a190),f2(a881)) % 197.39/197.41 [3121]E(f117(a1),f34(a1)) % 197.39/197.41 [3122]E(f192(a881),f125(a881)) % 197.39/197.41 [3123]E(f246(a881),f126(a881)) % 197.39/197.41 [3124]E(f193(a881),f2(a881)) % 197.39/197.41 [3125]P9(f2(a1)) % 197.39/197.41 [3126]P9(f89(a1)) % 197.39/197.41 [3181]P34(f888(a881,a881),a35) % 197.39/197.41 [3522]E(f333(a881,a881,a247,a247),a35) % 197.39/197.41 [4472]~E(f89(a1),f2(a1)) % 197.39/197.41 [3127]E(f127(f2(a881)),f2(a881)) % 197.39/197.41 [3128]E(f6(f2(a115)),f2(a881)) % 197.39/197.41 [3136]E(f341(f90(a1),a94),a94) % 197.39/197.41 [3140]E(f341(a5,f2(a881)),f2(a115)) % 197.39/197.41 [3141]E(f341(a128,f2(a881)),f89(a881)) % 197.39/197.41 [3142]E(f341(a119,f89(a1)),f89(a881)) % 197.39/197.41 [3143]E(f341(a5,f89(a881)),f89(a115)) % 197.39/197.41 [3145]E(f341(f118(a1),a94),f2(a1)) % 197.39/197.41 [3146]E(f341(f118(a115),a94),f2(a115)) % 197.39/197.41 [3147]E(f341(a119,f2(a1)),f2(a881)) % 197.39/197.41 [3148]E(f341(f194(a874),a191),f2(a881)) % 197.39/197.41 [3149]E(f341(f194(a874),a190),f2(a881)) % 197.39/197.41 [3150]E(f341(f194(a875),a25),f2(a881)) % 197.39/197.41 [3151]E(f341(f118(a881),a94),f2(a881)) % 197.39/197.41 [3156]E(f341(f90(a1),f89(a1)),a100) % 197.39/197.41 [3164]E(f341(f194(a115),f2(a115)),f2(a881)) % 197.39/197.41 [3165]E(f341(f116(a1),f2(a881)),f2(a1)) % 197.39/197.41 [3166]E(f341(f116(a1),f89(a881)),f89(a1)) % 197.39/197.41 [3167]E(f341(f90(a1),f2(a1)),f2(a1)) % 197.39/197.41 [3178]E(f341(a119,f89(a1)),f341(a128,f2(a881))) % 197.39/197.41 [3179]E(f332(f888(a881,a881),a35),a36) % 197.39/197.41 [3180]E(f334(f888(a881,a881),a35),a78) % 197.39/197.41 [3201]E(f341(f268(a881),f2(a881)),f193(f889(a881,a874))) % 197.39/197.41 [3202]E(f341(f269(a881),f2(a881)),f249(f889(a881,a874))) % 197.39/197.41 [3210]P36(f193(f889(a1,a874))) % 197.39/197.41 [3244]E(f341(f341(f3(a115),f2(a115)),f89(a115)),f2(a115)) % 197.39/197.41 [3314]P1(f341(f341(f242(a1),a100),f2(a1))) % 197.39/197.41 [3340]P1(f341(f341(f242(a1),f2(a1)),f89(a1))) % 197.39/197.41 [3342]P1(f341(f341(f241(a1),f2(a1)),f89(a1))) % 197.39/197.41 [3552]E(f341(f341(f296(a881,a881,a881),a331),f315(a881,a331)),a247) % 197.39/197.41 [3590]P37(a1,a881,a119,f341(f241(a1),f2(a1))) % 197.39/197.41 [3595]E(f341(f341(f42(a881,f889(a881,a874)),f249(f889(a881,a874))),f308(a881)),f249(f889(a881,a874))) % 197.39/197.41 [3596]E(f341(f341(f42(a881,f889(a881,a874)),f249(f889(a881,a874))),f268(a881)),f249(f889(a881,a874))) % 197.39/197.41 [3597]E(f341(f341(f42(a881,f889(a881,a874)),f249(f889(a881,a874))),f269(a881)),f249(f889(a881,a874))) % 197.39/197.41 [3598]E(f341(f341(f43(a881,f889(a881,a874)),f249(f889(a881,a874))),f311(a881)),f193(f889(a881,a874))) % 197.39/197.41 [3614]P18(a881,a1,f116(a1),f249(f889(a881,a874))) % 197.39/197.41 [3626]P37(a881,a1,f116(a1),f341(f18(a874,a881),a190)) % 197.39/197.41 [3968]P55(a115,a881,a22,a5,f249(f889(a881,a874))) % 197.39/197.41 [3975]P55(a1,f889(f888(a881,a881),a874),a121,a101,a114) % 197.39/197.41 [4233]E(f263(a1,a1,a1,a1,f34(a1),f90(a1)),a63) % 197.39/197.41 [4493]~E(f341(f118(a1),a100),f341(f118(a1),a94)) % 197.39/197.41 [4494]~P1(f341(a198,f2(a1))) % 197.39/197.41 [4495]~P1(f341(a198,f89(a1))) % 197.39/197.41 [4545]~P1(f341(f341(f242(a1),a94),f2(a1))) % 197.39/197.41 [3195]E(f341(f341(f3(a1),a100),a100),a94) % 197.39/197.41 [3207]E(f341(f116(a1),f341(a128,f2(a881))),f89(a1)) % 197.39/197.41 [3267]E(f341(f37(a884),f249(f889(a884,a874))),f89(a881)) % 197.39/197.41 [3286]P1(f341(a198,f341(f118(a1),a100))) % 197.39/197.41 [3287]P1(f341(f341(f242(a1),a100),a94)) % 197.39/197.41 [3289]P1(f341(f341(f241(a1),a100),a94)) % 197.39/197.41 [3352]E(f341(f341(f318(a881),f2(a881)),f193(f889(a881,a874))),f341(f308(a881),f2(a881))) % 197.39/197.41 [3385]E(f341(f341(f317(a881,a881),a128),f249(f889(a881,a874))),f341(f311(a881),f2(a881))) % 197.39/197.41 [3416]P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),a94))) % 197.39/197.41 [3463]P11(f888(a881,a881),f249(f889(f888(a881,a881),a874)),a123) % 197.39/197.41 [3516]E(f341(f341(f82(a881,a115,a1),a5),a119),f118(a115)) % 197.39/197.41 [3521]E(f341(f341(f82(a881,a1,a115),f116(a1)),a22),a23) % 197.39/197.41 [3817]P34(a881,f341(f267(f888(a881,a881)),f341(f262(a881,a881,a874),f242(a881)))) % 197.39/197.41 [4536]~P1(f341(a198,f341(f118(a1),a94))) % 197.39/197.41 [4537]~P1(f341(f341(f242(a1),a94),a94)) % 197.39/197.41 [4538]~P1(f341(f341(f242(a1),a94),a100)) % 197.39/197.41 [4539]~P1(f341(f341(f242(a1),a100),a100)) % 197.39/197.41 [4540]~P1(f341(f341(f241(a1),a94),a100)) % 197.39/197.41 [4555]~P1(f341(f72(a881),f249(f889(a881,a874)))) % 197.39/197.41 [4556]~P1(f341(f72(a1),f249(f889(a1,a874)))) % 197.39/197.41 [4409]E(f341(f262(a1,a1,a874),f341(f341(f10(f889(a1,a874),f889(a1,a874),a1),f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f242(a1),f2(a1))))),f341(f341(f9(a1,a1,f889(a1,a874)),f341(f341(f10(f889(a1,f889(a1,a874)),f889(a1,f889(a1,a874)),a1),f9(a1,a1,a874)),f341(f341(f10(f889(a1,a1),f889(a1,f889(a1,a874)),a1),f341(f10(a1,f889(a1,a874),a1),a338)),a224))),f89(a1)))),a219) % 197.39/197.41 [3497]E(f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100),f341(f90(a1),a100)) % 197.39/197.41 [3535]E(f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100),f341(f341(f3(a1),a94),a100)) % 197.39/197.41 [3691]E(f341(f341(f71(f888(a881,a881)),f249(f889(f888(a881,a881),a874))),a123),a114) % 197.39/197.41 [3720]E(f341(f118(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f89(a1)) % 197.39/197.41 [3721]E(f341(f118(a115),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f89(a115)) % 197.39/197.41 [3722]E(f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f89(a881)) % 197.39/197.41 [3726]E(f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(a128,f2(a881))) % 197.39/197.41 [4098]E(f341(f341(f125(f889(f888(f888(a881,a881),f888(a881,a881)),a874)),a35),f315(f888(a881,a881),f193(f889(f888(f888(a881,a881),f888(a881,a881)),a874)))),a80) % 197.39/197.41 [4169]E(f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),f2(a881)),f2(a881))),f193(f889(f888(a881,a881),a874))))),f2(a1)) % 197.39/197.41 [4170]E(f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),f89(a881)),f2(a881))),f193(f889(f888(a881,a881),a874))))),f89(a1)) % 197.39/197.41 [4182]E(f341(f267(f888(a881,a881)),f341(f262(a881,a881,a874),f341(f341(f10(a881,f889(a881,a874),a881),f341(f9(a881,a881,a874),a338)),a128))),a331) % 197.39/197.41 [4154]E(f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),f341(a128,f341(a128,f2(a881)))) % 197.39/197.41 [4157]E(f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),f341(f341(f91(a881),f89(a881)),f89(a881))) % 197.39/197.41 [4158]E(f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),f341(f37(a874),f249(f889(a874,a874)))) % 197.39/197.41 [4216]P9(f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))) % 197.39/197.41 [4295]P20(f889(f888(a881,a881),a874),f341(f341(f257(f889(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),a874),f889(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),a874)),a36),a79)) % 197.39/197.41 [4296]P20(f889(f888(a881,a881),a874),f341(f341(f257(f889(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),a874),f889(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),a874)),a78),a81)) % 197.39/197.41 [4339]E(f341(f341(f125(f889(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),a874)),f334(f888(a881,a881),a80)),f341(f341(f318(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),f193(f889(f888(a881,a881),a874))),f193(f889(f888(a881,a881),a874)))),f193(f889(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),a874)))),a81) % 197.39/197.41 [4340]E(f341(f341(f125(f889(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),a874)),f332(f888(a881,a881),a80)),f341(f341(f318(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),f193(f889(f888(a881,a881),a874))),f193(f889(f888(a881,a881),a874)))),f193(f889(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),a874)))),a79) % 197.39/197.41 [4218]E(f341(a119,f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(a128,f341(a128,f2(a881)))) % 197.39/197.41 [4273]E(f341(f116(a1),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))) % 197.39/197.41 [4306]P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))) % 197.39/197.41 [4307]E(f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),a100)),f341(a128,f341(a128,f341(a128,f2(a881))))) % 197.39/197.41 [4351]P9(f341(f118(a1),f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),a100))) % 197.39/197.41 [4379]E(f341(f116(a1),f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),a100))),f341(f118(a1),f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),a100))) % 197.39/197.41 [4392]P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),a100)))) % 197.39/197.41 [4467]P1(f109(a873,a874,f341(f341(f10(f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,a874))),f889(a875,f889(f889(a873,f889(a876,a874)),a874)),f889(a873,f889(a876,a874))),f341(f10(f889(f889(a873,f889(a876,a874)),f889(a873,a874)),f889(f889(a873,f889(a876,a874)),a874),a875),f341(f10(f889(a873,a874),a874,f889(a873,f889(a876,a874))),f99(a873)))),f341(f341(f10(f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)))),f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,a874))),f889(a873,f889(a876,a874))),f341(f10(f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f889(f889(a873,f889(a876,a874)),f889(a873,a874)),a875),f341(f10(f889(a873,f889(a876,a874)),f889(a873,a874),f889(a873,f889(a876,a874))),f341(f10(f889(a876,a874),a874,a873),f99(a876))))),f341(f341(f9(f889(a873,f889(a876,a874)),f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)))),f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))))),f341(f341(f10(f889(f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)))),f889(f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)))),f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))))),f889(a873,f889(a876,a874))),f10(f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),a875)),f341(f341(f10(f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f889(f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)))),f889(a873,f889(a876,a874))),f10(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)))),f341(f341(f10(f889(a873,f889(f889(a876,a874),f889(a876,a874))),f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f889(a873,f889(a876,a874))),f20(a873,f889(a876,a874),f889(a876,a874))),f341(f341(f10(f889(a873,f889(a876,f889(a874,a874))),f889(a873,f889(f889(a876,a874),f889(a876,a874))),f889(a873,f889(a876,a874))),f341(f10(f889(a876,f889(a874,a874)),f889(f889(a876,a874),f889(a876,a874)),a873),f20(a876,a874,a874))),f341(f10(f889(a876,a874),f889(a876,f889(a874,a874)),a873),f341(f10(a874,f889(a874,a874),a876),a345))))))),f341(f341(f10(f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,f889(a876,a874)))),f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),a875),f341(f10(f889(a873,f889(a876,f889(a876,a874))),f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f341(f10(f889(a876,f889(a876,a874)),f889(a876,a874),a873),f341(f10(f889(a876,a874),a874,a876),f99(a876))))),f341(f341(f10(f889(f889(a876,a874),f889(a876,f889(a876,a874))),f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,f889(a876,a874)))),a875),f10(f889(a876,a874),f889(a876,f889(a876,a874)),a873)),f341(f341(f10(f889(a876,f889(f889(a876,a874),f889(a876,a874))),f889(f889(a876,a874),f889(a876,f889(a876,a874))),a875),f9(a876,f889(a876,a874),f889(a876,a874))),f341(f341(f10(f889(a876,f889(a876,f889(a874,a874))),f889(a876,f889(f889(a876,a874),f889(a876,a874))),a875),f341(f10(f889(a876,f889(a874,a874)),f889(f889(a876,a874),f889(a876,a874)),a876),f20(a876,a874,a874))),f341(f341(f10(f889(a876,f889(a876,a874)),f889(a876,f889(a876,f889(a874,a874))),a875),f341(f10(f889(a876,a874),f889(a876,f889(a874,a874)),a876),f341(f10(a874,f889(a874,a874),a876),a345))),f341(f341(f9(a875,a881,f889(a876,f889(a876,a874))),f341(f341(f10(f889(a876,f889(a881,f889(a876,a874))),f889(a881,f889(a876,f889(a876,a874))),a875),f9(a876,a881,f889(a876,a874))),a201)),f341(a128,a890)))))))))),a891)) % 197.39/197.41 [4586]~P1(f109(a873,a874,f341(f341(f10(f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,a874))),f889(a875,f889(f889(a873,f889(a876,a874)),a874)),f889(a873,f889(a876,a874))),f341(f10(f889(f889(a873,f889(a876,a874)),f889(a873,a874)),f889(f889(a873,f889(a876,a874)),a874),a875),f341(f10(f889(a873,a874),a874,f889(a873,f889(a876,a874))),f99(a873)))),f341(f341(f10(f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)))),f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,a874))),f889(a873,f889(a876,a874))),f341(f10(f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f889(f889(a873,f889(a876,a874)),f889(a873,a874)),a875),f341(f10(f889(a873,f889(a876,a874)),f889(a873,a874),f889(a873,f889(a876,a874))),f341(f10(f889(a876,a874),a874,a873),f99(a876))))),f341(f341(f9(f889(a873,f889(a876,a874)),f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)))),f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))))),f341(f341(f10(f889(f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)))),f889(f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)))),f889(a875,f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))))),f889(a873,f889(a876,a874))),f10(f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),a875)),f341(f341(f10(f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f889(f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)))),f889(a873,f889(a876,a874))),f10(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874)))),f341(f341(f10(f889(a873,f889(f889(a876,a874),f889(a876,a874))),f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f889(a873,f889(a876,a874))),f20(a873,f889(a876,a874),f889(a876,a874))),f341(f341(f10(f889(a873,f889(a876,f889(a874,a874))),f889(a873,f889(f889(a876,a874),f889(a876,a874))),f889(a873,f889(a876,a874))),f341(f10(f889(a876,f889(a874,a874)),f889(f889(a876,a874),f889(a876,a874)),a873),f20(a876,a874,a874))),f341(f10(f889(a876,a874),f889(a876,f889(a874,a874)),a873),f341(f10(a874,f889(a874,a874),a876),a345))))))),f341(f341(f10(f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,f889(a876,a874)))),f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),a875),f341(f10(f889(a873,f889(a876,f889(a876,a874))),f889(a873,f889(a876,a874)),f889(a873,f889(a876,a874))),f341(f10(f889(a876,f889(a876,a874)),f889(a876,a874),a873),f341(f10(f889(a876,a874),a874,a876),f99(a876))))),f341(f341(f10(f889(f889(a876,a874),f889(a876,f889(a876,a874))),f889(f889(a873,f889(a876,a874)),f889(a873,f889(a876,f889(a876,a874)))),a875),f10(f889(a876,a874),f889(a876,f889(a876,a874)),a873)),f341(f341(f10(f889(a876,f889(f889(a876,a874),f889(a876,a874))),f889(f889(a876,a874),f889(a876,f889(a876,a874))),a875),f9(a876,f889(a876,a874),f889(a876,a874))),f341(f341(f10(f889(a876,f889(a876,f889(a874,a874))),f889(a876,f889(f889(a876,a874),f889(a876,a874))),a875),f341(f10(f889(a876,f889(a874,a874)),f889(f889(a876,a874),f889(a876,a874)),a876),f20(a876,a874,a874))),f341(f341(f10(f889(a876,f889(a876,a874)),f889(a876,f889(a876,f889(a874,a874))),a875),f341(f10(f889(a876,a874),f889(a876,f889(a874,a874)),a876),f341(f10(a874,f889(a874,a874),a876),a345))),f341(f341(f9(a875,a881,f889(a876,f889(a876,a874))),f341(f341(f10(f889(a876,f889(a881,f889(a876,a874))),f889(a881,f889(a876,f889(a876,a874))),a875),f9(a876,a881,f889(a876,a874))),a201)),a890))))))))),a891)) % 197.39/197.41 [3135]P10(x31351,a338) % 197.39/197.41 [3523]P18(a881,a881,a128,x35231) % 197.39/197.41 [3129]P102(f880(x31291)) % 197.39/197.41 [3130]P102(f882(x31301)) % 197.39/197.41 [3131]P102(f885(x31311)) % 197.39/197.41 [3132]P102(f883(x31321)) % 197.39/197.41 [3152]P34(a1,f120(x31521)) % 197.39/197.41 [3153]P34(a1,f122(x31531)) % 197.39/197.41 [3198]P34(f889(x31981,a874),f314(x31981)) % 197.39/197.41 [3222]E(f250(x32221,x32221,a338),a338) % 197.39/197.41 [3237]E(f57(a1,x32371,x32371),f2(a1)) % 197.39/197.41 [3960]P47(x39601,x39601,a338,f34(x39601),f34(x39601)) % 197.39/197.41 [4474]~E(f341(a26,x44741),a25) % 197.39/197.41 [4476]~E(f341(a128,x44761),x44761) % 197.39/197.41 [4486]~E(f341(a128,x44861),f2(a881)) % 197.39/197.41 [3137]E(f341(f194(a881),x31371),x31371) % 197.39/197.41 [3138]E(f341(f118(a1),x31381),x31381) % 197.39/197.41 [3154]E(f341(a5,f342(x31541)),x31541) % 197.39/197.41 [3155]E(f248(x31551,f2(a115)),f2(a115)) % 197.39/197.41 [3168]E(f130(x31681,f129(x31681)),f129(x31681)) % 197.39/197.41 [3169]E(f157(x31691,f129(x31691)),f129(x31691)) % 197.39/197.41 [3171]E(f31(f341(a26,x31711)),f2(a881)) % 197.39/197.41 [3175]E(f341(f172(x31751),f129(x31751)),f129(x31751)) % 197.39/197.41 [3176]E(f341(f175(x31761),f129(x31761)),f129(x31761)) % 197.39/197.41 [3177]E(f341(f173(x31771),f129(x31771)),f129(x31771)) % 197.39/197.41 [3182]E(f341(f118(a1),x31821),f341(f117(a1),x31821)) % 197.39/197.41 [3184]E(f341(a5,f341(a22,x31841)),x31841) % 197.39/197.41 [3185]E(f341(a22,f341(a5,x31851)),x31851) % 197.39/197.41 [3186]E(f341(a101,f341(a121,x31861)),x31861) % 197.39/197.41 [3187]P9(f341(f116(a1),x31871)) % 197.39/197.41 [3192]E(f341(f194(f883(x31921)),f129(x31921)),f2(a881)) % 197.39/197.41 [3197]E(f341(f194(a875),f341(a26,x31971)),f2(a881)) % 197.39/197.41 [3213]E(f341(f341(f91(a881),x32131),f2(a881)),x32131) % 197.39/197.41 [3214]E(f341(f341(f91(a1),x32141),f2(a1)),x32141) % 197.39/197.41 [3215]E(f341(f341(f92(a881),x32151),f89(a881)),x32151) % 197.39/197.41 [3216]E(f341(f341(f92(a1),x32161),f89(a1)),x32161) % 197.39/197.41 [3217]E(f341(f341(f3(a881),x32171),f2(a881)),x32171) % 197.39/197.41 [3218]E(f341(f341(f192(a881),x32181),f2(a881)),x32181) % 197.39/197.41 [3219]E(f341(f341(f92(a881),x32191),f2(a881)),f2(a881)) % 197.39/197.41 [3220]E(f341(f341(f38(a1),x32201),f2(a1)),f2(a1)) % 197.39/197.41 [3221]E(f341(f341(f246(a881),x32211),f2(a881)),f2(a881)) % 197.39/197.41 [3228]E(f341(f176(x32281),f129(x32281)),f193(f889(x32281,a874))) % 197.39/197.41 [3232]P1(f341(f142(x32321),f129(x32321))) % 197.39/197.41 [3238]E(f341(f159(x32381,x32381),f34(x32381)),f34(f883(x32381))) % 197.39/197.41 [3239]E(f341(f159(x32391,x32391),f7(x32391)),f34(f883(x32391))) % 197.39/197.41 [3240]E(f57(a1,x32401,f2(a1)),x32401) % 197.39/197.41 [3241]E(f341(f241(a881),f341(a128,x32411)),f341(f242(a881),x32411)) % 197.39/197.41 [3242]E(f341(f268(a881),f341(a128,x32421)),f341(f308(a881),x32421)) % 197.39/197.41 [3243]E(f341(f269(a881),f341(a128,x32431)),f341(f311(a881),x32431)) % 197.39/197.41 [3245]E(f57(a1,f2(a1),x32451),f2(a1)) % 197.39/197.41 [3252]E(f341(f341(f91(a881),x32521),f89(a881)),f341(a128,x32521)) % 197.39/197.41 [3261]E(f341(f309(a881,x32611),f2(a881)),f193(f889(a881,a874))) % 197.39/197.41 [3273]E(f310(a881,f2(a881),x32731),f341(f308(a881),x32731)) % 197.39/197.41 [3317]E(f341(f341(f3(a881),f341(a128,x33171)),f89(a881)),x33171) % 197.39/197.41 [3331]E(f59(f2(a1),x33311),f341(f341(f257(a1,a1),f2(a1)),f2(a1))) % 197.39/197.41 [3384]P1(f341(f341(f242(a881),x33841),f341(a128,x33841))) % 197.39/197.41 [3401]P1(f341(f341(f242(a881),f2(a881)),f341(a128,x34011))) % 197.39/197.41 [3677]E(f341(f341(f3(a115),f341(a5,f341(a128,f341(a22,x36771)))),f89(a115)),x36771) % 197.39/197.41 [3679]E(f341(f341(f82(f888(a1,a1),a1,x36791),f261(a1,a1)),f218(x36791)),f220(x36791)) % 197.39/197.41 [3680]E(f341(f341(f82(f888(a1,a1),a1,x36801),f256(a1,a1)),f218(x36801)),f227(x36801)) % 197.39/197.41 [3750]P1(f341(f341(f241(a1),f341(f90(a1),f341(f116(a1),x37501))),f2(a1))) % 197.39/197.41 [3891]P1(f341(f341(f242(a1),f341(f90(a1),f341(f116(a1),f341(a128,x38911)))),f2(a1))) % 197.39/197.41 [4500]~E(f249(f889(x45001,a874)),f193(f889(x45001,a874))) % 197.39/197.41 [4548]~P1(f341(f341(f242(a881),x45481),f2(a881))) % 197.39/197.41 [4568]~P1(f341(f341(f242(a1),f341(f116(a1),x45681)),f2(a1))) % 197.39/197.41 [3196]E(f182(x31961,f129(f883(x31961))),f129(f883(x31961))) % 197.39/197.41 [3199]E(f341(f341(f92(a1),a94),x31991),a94) % 197.39/197.41 [3200]E(f341(f341(f91(a1),a94),x32001),x32001) % 197.39/197.41 [3203]E(f341(a119,f341(f116(a1),x32031)),x32031) % 197.39/197.41 [3204]E(f341(f341(f91(a1),x32041),a94),x32041) % 197.39/197.41 [3205]E(f341(f341(f3(a1),x32051),a94),x32051) % 197.39/197.41 [3206]E(f341(f341(f3(a881),x32061),x32061),f2(a881)) % 197.39/197.41 [3211]E(f341(f90(a1),f341(f90(a1),x32111)),x32111) % 197.39/197.41 [3212]E(f341(f37(a881),f341(f268(a881),x32121)),x32121) % 197.39/197.41 [3223]E(f341(f341(f91(a881),f2(a881)),x32231),x32231) % 197.39/197.41 [3224]E(f341(f341(f91(a1),f2(a1)),x32241),x32241) % 197.39/197.41 [3225]E(f341(f341(f92(a881),f89(a881)),x32251),x32251) % 197.39/197.41 [3226]E(f341(f341(f92(a1),f89(a1)),x32261),x32261) % 197.39/197.41 [3227]E(f341(f341(f192(a881),f2(a881)),x32271),x32271) % 197.39/197.41 [3233]E(f341(f341(f92(a881),f2(a881)),x32331),f2(a881)) % 197.39/197.41 [3234]E(f341(f341(f38(a1),f2(a1)),x32341),f2(a1)) % 197.39/197.41 [3235]E(f341(f341(f3(a881),f2(a881)),x32351),f2(a881)) % 197.39/197.41 [3236]E(f341(f341(f246(a881),f2(a881)),x32361),f2(a881)) % 197.39/197.41 [3250]E(f341(f309(a881,f2(a881)),x32501),f341(f268(a881),x32501)) % 197.39/197.41 [3251]E(f341(f341(f92(a1),a100),x32511),f341(f90(a1),x32511)) % 197.39/197.41 [3254]E(f341(a119,f341(f118(a1),x32541)),f341(f118(a881),x32541)) % 197.39/197.41 [3255]E(f341(a22,f341(f118(a115),x32551)),f341(f118(a881),x32551)) % 197.39/197.41 [3256]E(f341(f37(a881),f341(f308(a881),x32561)),f341(a128,x32561)) % 197.39/197.41 [3265]E(f341(f341(f91(a881),f89(a881)),x32651),f341(a128,x32651)) % 197.39/197.41 [3269]E(f341(f117(a1),f341(f116(a1),x32691)),f341(f116(a1),x32691)) % 197.39/197.41 [3270]E(f341(f85(a1),f341(f116(a1),x32701)),f341(f116(a1),x32701)) % 197.39/197.41 [3274]E(f341(f37(x32741),f193(f889(x32741,a874))),f2(a881)) % 197.39/197.41 [3276]E(f341(f341(f38(a881),x32761),f341(a128,f2(a881))),x32761) % 197.39/197.41 [3284]E(f57(a881,x32841,f341(a128,f2(a881))),f2(a881)) % 197.39/197.41 [3285]E(f57(a1,x32851,f341(f118(a1),a100)),f2(a1)) % 197.39/197.41 [3299]E(f341(f341(f38(a1),x32991),f341(f118(a1),a100)),f341(f90(a1),x32991)) % 197.39/197.41 [3303]E(f144(a881,f341(f309(a881,x33031),f2(a881))),f129(a881)) % 197.39/197.41 [3304]E(f341(f341(f3(a1),x33041),f89(a1)),f341(f341(f91(a1),x33041),a100)) % 197.39/197.41 [3305]E(f341(f341(f91(a1),x33051),f89(a1)),f341(f341(f3(a1),x33051),a100)) % 197.39/197.41 [3310]P1(f341(f341(f199(a25),x33101),x33101)) % 197.39/197.41 [3311]P1(f341(f341(f241(a881),x33111),x33111)) % 197.39/197.41 [3312]P1(f341(f341(f241(a1),x33121),x33121)) % 197.39/197.41 [3313]P1(f341(f341(f294(a881),x33131),x33131)) % 197.39/197.41 [3318]E(f341(f90(a1),f341(f118(a1),x33181)),f341(f118(a1),f341(f90(a1),x33181))) % 197.39/197.41 [3319]P1(f341(f72(a881),f341(f308(a881),x33191))) % 197.39/197.41 [3320]P1(f341(f72(a881),f341(f268(a881),x33201))) % 197.39/197.41 [3329]E(f166(x33291,f249(f889(x33291,a874))),f249(f889(f883(x33291),a874))) % 197.39/197.41 [3334]P1(f341(f341(f241(a881),f2(a881)),x33341)) % 197.39/197.41 [3345]E(f341(f341(f91(a881),f127(x33451)),f341(a128,f2(a881))),f127(f341(a128,x33451))) % 197.39/197.41 [3346]E(f341(f267(x33461),f341(f18(a874,x33461),a190)),f249(f889(x33461,a874))) % 197.39/197.41 [3347]E(f341(f267(x33471),f341(f18(a874,x33471),a191)),f193(f889(x33471,a874))) % 197.39/197.41 [3351]E(f341(f341(f318(a881),x33511),f341(f268(a881),x33511)),f341(f268(a881),f341(a128,x33511))) % 197.39/197.41 [3365]E(f341(f341(f91(a1),f89(a1)),f341(f116(a1),x33651)),f341(f116(a1),f341(a128,x33651))) % 197.39/197.41 [3368]E(f341(f341(f156(f883(x33681)),f129(x33681)),f129(f883(x33681))),f66(x33681,f129(x33681))) % 197.39/197.41 [3388]E(f193(f889(f888(x33881,x33881),a874)),f271(x33881,f193(f889(x33881,a874)))) % 197.39/197.41 [3389]E(f341(f316(x33891),f249(f889(x33891,a874))),f249(f889(f889(x33891,a874),a874))) % 197.39/197.41 [3390]E(f341(f90(f889(x33901,a874)),f249(f889(x33901,a874))),f193(f889(x33901,a874))) % 197.39/197.41 [3391]E(f341(f90(f889(x33911,a874)),f193(f889(x33911,a874))),f249(f889(x33911,a874))) % 197.39/197.41 [3393]P1(f341(f72(x33931),f193(f889(x33931,a874)))) % 197.39/197.41 [3397]E(f341(f309(a881,x33971),f341(a128,x33971)),f341(f341(f318(a881),x33971),f193(f889(a881,a874)))) % 197.39/197.41 [3398]E(f96(f888(a881,a881),f60(x33981,f2(a881))),f341(f341(f257(a881,a881),f2(a881)),x33981)) % 197.39/197.41 [3415]E(f341(f341(f318(a881),f341(a128,x34151)),f341(f308(a881),x34151)),f341(f308(a881),f341(a128,x34151))) % 197.39/197.41 [3419]P34(x34191,f193(f889(f888(x34191,x34191),a874))) % 197.39/197.41 [3423]P1(f341(f341(f241(a1),f2(a1)),f341(f116(a1),x34231))) % 197.39/197.41 [3426]P36(f341(f341(f317(a881,a1),f116(a1)),x34261)) % 197.39/197.41 [3430]E(f341(f341(f91(a881),f341(f194(a881),x34301)),f341(a128,f2(a881))),f341(f194(a881),f341(a128,x34301))) % 197.39/197.41 [3568]P46(x35681,f193(f889(x35681,a874)),f193(f889(f888(x35681,x35681),a874))) % 197.39/197.41 [3586]E(f341(f341(f257(a1,a1),f341(f118(a1),a100)),f341(f341(f3(a1),x35861),f89(a1))),f62(f341(f118(a1),a100),x35861)) % 197.39/197.41 [3637]P58(x36371,f341(f18(f889(x36371,a874),x36371),f341(f18(a874,x36371),a191))) % 197.39/197.41 [3648]E(f297(a881,f294(a881),x36481,x36481),f341(f341(f318(a881),x36481),f193(f889(a881,a874)))) % 197.39/197.41 [3856]P1(f341(f341(f344(f889(f888(a881,a881),a874)),f341(a121,x38561)),a114)) % 197.39/197.41 [3984]P18(x39841,f889(x39841,a874),f341(f341(f9(x39841,f889(x39841,a874),f889(x39841,a874)),f318(x39841)),f193(f889(x39841,a874))),f249(f889(x39841,a874))) % 197.39/197.41 [4497]~E(f341(f341(f91(a1),x44971),x44971),a100) % 197.39/197.41 [4535]~E(f341(a5,f341(a128,f341(a22,x45351))),f2(a115)) % 197.39/197.41 [4541]~P1(f341(a198,f341(f116(a1),x45411))) % 197.39/197.41 [4544]~P1(f341(f341(f242(a881),x45441),x45441)) % 197.39/197.41 [4561]~P1(f341(f341(f241(a881),f341(a128,x45611)),x45611)) % 197.39/197.41 [3336]E(f341(a119,f341(f90(a1),f341(f116(a1),x33361))),f2(a881)) % 197.39/197.41 [3339]E(f341(f341(f91(a1),f341(f90(a1),x33391)),x33391),f2(a1)) % 197.39/197.41 [3344]E(f341(f37(a1),f341(f309(a1,f2(a1)),x33441)),f341(a119,x33441)) % 197.39/197.41 [3357]E(f341(f341(f251(a881),f341(a128,f2(a881))),x33571),f341(a128,f2(a881))) % 197.39/197.41 [3459]E(f341(f291(x34591),f193(f889(f888(x34591,x34591),a874))),f193(f889(x34591,a874))) % 197.39/197.41 [3461]E(f341(f37(a1),f341(f341(f317(a881,a1),f116(a1)),x34611)),f341(f37(a881),x34611)) % 197.39/197.41 [3468]E(f39(f889(x34681,a874),f249(f889(f889(x34681,a874),a874))),f249(f889(x34681,a874))) % 197.39/197.41 [3469]E(f39(f889(x34691,a874),f193(f889(f889(x34691,a874),a874))),f193(f889(x34691,a874))) % 197.39/197.41 [3470]E(f40(f889(x34701,a874),f249(f889(f889(x34701,a874),a874))),f193(f889(x34701,a874))) % 197.39/197.41 [3471]E(f40(f889(x34711,a874),f193(f889(f889(x34711,a874),a874))),f249(f889(x34711,a874))) % 197.39/197.41 [3475]P1(f341(f341(f294(a881),f341(a128,f2(a881))),x34751)) % 197.39/197.41 [3512]E(f341(f341(f318(f883(x35121)),f129(x35121)),f193(f889(f883(x35121),a874))),f166(x35121,f193(f889(x35121,a874)))) % 197.39/197.41 [3513]E(f341(f341(f318(f883(x35131)),f129(x35131)),f193(f889(f883(x35131),a874))),f167(x35131,f129(f889(x35131,a874)))) % 197.39/197.41 [3534]E(f341(f341(f317(a1,a881),a119),f341(f341(f317(a881,a1),f116(a1)),x35341)),x35341) % 197.39/197.41 [3551]E(f341(f341(f91(a881),f6(x35511)),f341(a128,f2(a881))),f6(f341(a5,f341(a128,f341(a22,x35511))))) % 197.39/197.41 [3573]E(f341(f341(f317(a1,a881),a119),f310(a1,f2(a1),f341(f116(a1),x35731))),f341(f308(a881),x35731)) % 197.39/197.41 [3581]P1(f341(f341(f241(a881),x35811),f341(f341(f92(a881),x35811),x35811))) % 197.39/197.41 [3624]E(f341(f341(f318(a881),f2(a881)),f341(f341(f317(a881,a881),a128),f341(f268(a881),x36241))),f341(f268(a881),f341(a128,x36241))) % 197.39/197.41 [3632]E(f341(f341(f38(a881),f341(a128,f2(a881))),f341(f118(a881),x36321)),f341(a119,f341(f341(f38(a1),f89(a1)),f341(f118(a1),x36321)))) % 197.39/197.41 [3634]E(f341(f176(a881),f144(a881,f341(f309(a881,f2(a881)),f341(a128,x36341)))),f341(f308(a881),x36341)) % 197.39/197.41 [3635]E(f341(f341(f91(a881),f341(f194(a115),x36351)),f341(a128,f2(a881))),f341(f194(a115),f341(a5,f341(a128,f341(a22,x36351))))) % 197.39/197.41 [3690]P53(x36901,x36901,f315(x36901,f193(f889(f888(x36901,x36901),a874)))) % 197.39/197.41 [3697]P1(f341(a198,f341(f90(a1),f341(f116(a1),f341(a128,x36971))))) % 197.39/197.41 [3706]E(f341(f341(f3(f889(a881,a874)),f341(f269(a881),x37061)),f341(f341(f318(a881),x37061),f193(f889(a881,a874)))),f341(f269(a881),f341(a128,x37061))) % 197.39/197.41 [3723]E(f341(f341(f91(a1),f341(f341(f3(a1),a94),x37231)),f341(f341(f3(a1),a94),x37231)),f341(f341(f3(a1),a94),f341(f341(f91(a1),x37231),x37231))) % 197.39/197.41 [3739]E(f341(f341(f318(f889(x37391,a874)),f193(f889(x37391,a874))),f193(f889(f889(x37391,a874),a874))),f341(f316(x37391),f193(f889(x37391,a874)))) % 197.39/197.41 [3765]E(f341(f341(f3(f889(a881,a874)),f341(f311(a881),x37651)),f341(f341(f318(a881),f341(a128,x37651)),f193(f889(a881,a874)))),f341(f311(a881),f341(a128,x37651))) % 197.39/197.41 [3869]E(f341(f118(a881),f341(f341(f91(a1),x38691),x38691)),f341(f341(f97(a881,a881),f341(f118(a881),x38691)),f341(f341(f20(a881,a881,a881),f91(a881)),f7(a881)))) % 197.39/197.41 [4338]E(f341(f267(f888(a1,a1)),f341(f262(a1,a1,a874),f341(f341(f10(f889(a1,a874),f889(a1,a874),a1),f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f241(a1),x43381)))),f242(a1)))),f122(x43381)) % 197.39/197.41 [4370]E(f341(f267(f888(a1,a1)),f341(f262(a1,a1,a874),f341(f341(f20(a1,f889(a1,a874),f889(a1,a874)),f341(f341(f10(f889(a874,a874),f889(f889(a1,a874),f889(a1,a874)),a1),f10(a874,a874,a1)),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f241(a1),x43701)))),f242(a1)))),f120(x43701)) % 197.39/197.41 [4425]E(f341(f267(f888(f889(x44251,a874),f889(x44251,a874))),f341(f262(f889(x44251,a874),f889(x44251,a874),a874),f341(f341(f9(f889(x44251,a874),f889(f889(x44251,a874),a874),f889(f889(x44251,a874),a874)),f341(f341(f10(f889(f889(x44251,a874),f889(a874,a874)),f889(f889(f889(x44251,a874),a874),f889(f889(x44251,a874),a874)),f889(x44251,a874)),f20(f889(x44251,a874),a874,a874)),f341(f341(f10(f889(f889(x44251,a874),a874),f889(f889(x44251,a874),f889(a874,a874)),f889(x44251,a874)),f341(f10(a874,f889(a874,a874),f889(x44251,a874)),a339)),f242(f889(x44251,a874))))),f72(x44251)))),f314(x44251)) % 197.39/197.41 [4565]~P1(f341(f72(f883(x45651)),f249(f889(f883(x45651),a874)))) % 197.39/197.41 [4577]~P1(f341(f341(f241(a1),f2(a1)),f341(f90(a1),f341(f116(a1),f341(a128,x45771))))) % 197.39/197.41 [3492]E(f341(f341(f3(a1),f341(f341(f91(a1),x34921),a100)),a100),x34921) % 197.39/197.41 [3506]E(f341(f176(a881),f144(a881,f341(f309(a881,f2(a881)),x35061))),f341(f268(a881),x35061)) % 197.39/197.41 [3745]E(f341(f341(f91(a1),f341(f341(f91(a1),f89(a1)),x37451)),x37451),f341(f341(f3(a1),f341(f341(f91(a1),x37451),x37451)),a100)) % 197.39/197.41 [3788]E(f341(f293(x37881,x37881),f315(x37881,f193(f889(f888(x37881,x37881),a874)))),f315(x37881,f193(f889(f888(x37881,x37881),a874)))) % 197.39/197.41 [3834]P1(f341(f341(f241(a881),x38341),f341(f341(f92(a881),x38341),f341(f341(f92(a881),x38341),x38341)))) % 197.39/197.41 [4103]P1(f341(f72(a881),f341(f267(a881),f341(f341(f9(a881,a881,a874),f242(a881)),x41031)))) % 197.39/197.41 [4104]P1(f341(f72(a881),f341(f267(a881),f341(f341(f9(a881,a881,a874),f241(a881)),x41041)))) % 197.39/197.41 [4387]E(f341(f267(f888(x43871,x43871)),f341(f341(f10(f889(x43871,a874),a874,f888(x43871,x43871)),f98(x43871)),f341(f341(f9(f888(x43871,x43871),f889(x43871,f888(x43871,x43871)),f889(x43871,a874)),f341(f341(f10(f889(f888(x43871,x43871),a874),f889(f889(x43871,f888(x43871,x43871)),f889(x43871,a874)),f888(x43871,x43871)),f10(f888(x43871,x43871),a874,x43871)),a338)),f341(f341(f20(x43871,x43871,f888(x43871,x43871)),f257(x43871,x43871)),f7(x43871))))),f315(x43871,f193(f889(f888(x43871,x43871),a874)))) % 197.39/197.41 [4567]~E(f341(f341(f3(a1),f341(f341(f91(a1),x45671),x45671)),a100),a94) % 197.39/197.41 [4569]~E(f341(f341(f91(a1),f341(f341(f91(a1),f89(a1)),x45691)),x45691),f2(a1)) % 197.39/197.41 [3881]E(f341(f341(f91(a1),f341(f341(f3(a1),a100),x38811)),f341(f341(f3(a1),a100),x38811)),f341(f341(f3(a1),a100),f341(f341(f3(a1),f341(f341(f91(a1),x38811),x38811)),a100))) % 197.39/197.41 [3992]E(f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),a100),x39921)),f341(f341(f3(a1),a100),x39921))),a100),f341(f341(f3(a1),a100),f341(f341(f91(a1),x39921),x39921))) % 197.39/197.41 [4038]E(f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f91(a1),x40381),a100)),f341(f341(f91(a1),x40381),a100))),a100),f341(f341(f91(a1),f341(f341(f91(a1),x40381),x40381)),a100)) % 197.39/197.41 [4072]E(f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),a100),x40721)),f341(f341(f3(a1),a100),x40721))),a100),f341(f341(f3(a1),a94),f341(f341(f3(a1),f341(f341(f91(a1),x40721),x40721)),a100))) % 197.39/197.41 [4165]E(f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x41651),f2(a881))),f193(f889(f888(a881,a881),a874))))),f341(f116(a1),x41651)) % 197.39/197.41 [4174]E(f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),f414(x41741)),f643(x41741))),f193(f889(f888(a881,a881),a874))))),x41741) % 197.39/197.41 [4204]E(f341(f267(a1),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f241(a1),f2(a1)))),x42041)),f341(f341(f317(a881,a1),f116(a1)),f341(f267(a881),f341(f341(f10(a1,a874,a881),x42041),f116(a1))))) % 197.39/197.41 [4256]P36(f341(f267(a1),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f241(a1),f2(a1)))),x42561))) % 197.39/197.41 [4276]P1(f341(f341(f344(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),x42761),f193(f889(f888(a881,a881),a874)))),a81)) % 197.39/197.41 [4280]E(f341(f341(f317(a1,a881),a119),f341(f267(a1),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f241(a1),f2(a1)))),f341(f341(f10(a881,a874,a1),x42801),a119)))),f341(f267(a881),x42801)) % 197.39/197.41 [4442]E(f321(a881,f341(f341(f42(f888(a881,a881),f889(a881,a874)),f341(a121,x44421)),f341(f262(a881,a881,f889(a881,a874)),f341(f341(f9(a881,f889(a881,a874),f889(a881,f889(a881,a874))),f341(f341(f10(f889(a881,f889(f889(a881,a874),f889(a881,a874))),f889(f889(a881,a874),f889(a881,f889(a881,a874))),a881),f9(a881,f889(a881,a874),f889(a881,a874))),f341(f341(f10(f889(a881,a881),f889(a881,f889(f889(a881,a874),f889(a881,a874))),a881),f341(f10(a881,f889(f889(a881,a874),f889(a881,a874)),a881),f318(a881))),f3(a881)))),f193(f889(a881,a874)))))),f341(a119,x44421)) % 197.39/197.41 [3917]E(f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),x39171),x39171)),a100)),a100),f341(f341(f91(a1),x39171),x39171)) % 197.39/197.41 [3969]E(f341(f341(f3(a1),f341(f341(f3(a1),f341(f341(f91(a1),x39691),x39691)),a100)),a100),f341(f341(f91(a1),f341(f341(f3(a1),x39691),a100)),f341(f341(f3(a1),x39691),a100))) % 197.39/197.41 [4181]E(f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f91(a1),f341(f90(a1),x41811)),a100)),f341(f341(f91(a1),f341(f90(a1),x41811)),a100))),a100),f341(f90(a1),f341(f341(f3(a1),f341(f341(f91(a1),x41811),x41811)),a100))) % 197.39/197.41 [4219]E(f341(f341(f91(a881),x42191),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(a128,f341(a128,x42191))) % 197.39/197.41 [4220]E(f341(f341(f92(a881),x42201),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(f341(f91(a881),x42201),x42201)) % 197.39/197.41 [4222]E(f341(f341(f38(a881),f341(f341(f91(a881),x42221),x42221)),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x42221) % 197.39/197.41 [4309]E(f57(a881,f341(a128,f341(a128,x43091)),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f57(a881,x43091,f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))) % 197.39/197.41 [4460]E(f341(a101,f341(f341(f42(f888(a881,a881),f889(f888(a881,a881),a874)),f341(a121,x44601)),f341(f262(a881,a881,f889(f888(a881,a881),a874)),f341(f341(f10(f889(a881,f889(f888(a881,a881),a874)),f889(a881,f889(f888(a881,a881),a874)),a881),f341(f10(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874),a881),f292(f888(a881,a881),f888(a881,a881),a123))),f341(f341(f9(a881,f889(f888(a881,a881),a874),f889(a881,f889(f888(a881,a881),a874))),f341(f341(f10(f889(a881,f889(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f889(f889(f888(a881,a881),a874),f889(a881,f889(f888(a881,a881),a874))),a881),f9(a881,f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f10(f889(a881,f888(a881,a881)),f889(a881,f889(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),a881),f341(f10(f888(a881,a881),f889(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),a881),f318(f888(a881,a881)))),f341(f9(a881,a881,f888(a881,a881)),f257(a881,a881))))),f193(f889(f888(a881,a881),a874))))))),f341(f90(a1),x44601)) % 197.39/197.41 [4304]E(f341(f341(f91(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x43041),f341(a128,f341(a128,x43041))) % 197.39/197.41 [4305]E(f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x43051),f341(f341(f91(a881),x43051),x43051)) % 197.39/197.41 [4343]E(f341(f341(f38(a881),f341(a128,f341(a128,x43431))),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(a128,f341(f341(f38(a881),x43431),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))) % 197.39/197.41 [4393]E(f341(f341(f91(a881),f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),a100))),x43931),f341(a128,f341(a128,f341(a128,x43931)))) % 197.39/197.41 [4468]E(f341(f262(a1,a1,f888(a1,a1)),f341(f341(f20(a1,f889(a1,f888(a1,a1)),f889(a1,f888(a1,a1))),f341(f341(f10(f889(a1,f889(f888(a1,a1),f888(a1,a1))),f889(f889(a1,f888(a1,a1)),f889(a1,f888(a1,a1))),a1),f20(a1,f888(a1,a1),f888(a1,a1))),f341(f341(f10(f889(a1,f888(a1,a1)),f889(a1,f889(f888(a1,a1),f888(a1,a1))),a1),f341(f20(a1,f888(a1,a1),f889(f888(a1,a1),f888(a1,a1))),f341(f341(f10(a874,f889(f888(a1,a1),f889(f888(a1,a1),f888(a1,a1))),a1),f111(f888(a1,a1))),f341(f341(f10(a1,a874,a1),f341(f241(a1),f2(a1))),f341(f341(f9(a1,a1,a1),f3(a1)),x44681))))),f341(f341(f9(a1,f889(a1,a1),f889(a1,f888(a1,a1))),f341(f341(f10(f889(a1,f888(a1,a1)),f889(f889(a1,a1),f889(a1,f888(a1,a1))),a1),f10(a1,f888(a1,a1),a1)),f341(f341(f10(a1,f889(a1,f888(a1,a1)),a1),f257(a1,a1)),f341(f341(f9(a1,a1,a1),f341(f341(f10(a1,f889(a1,a1),a1),f91(a1)),f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))),f89(a1))))),f341(f341(f9(a1,a1,a1),f3(a1)),x44681))))),f341(f341(f10(a1,f889(a1,f888(a1,a1)),a1),f257(a1,a1)),f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))))),f56(x44681)) % 197.39/197.41 [3172]P102(f886(x31721,x31722)) % 197.39/197.41 [3173]P102(f887(x31731,x31732)) % 197.39/197.41 [3174]P102(f888(x31741,x31742)) % 197.39/197.41 [3190]P16(a1,f181(x31901,x31902)) % 197.39/197.41 [3191]P34(x31911,f158(x31911,x31912)) % 197.39/197.41 [3280]P46(x32801,x32802,f271(x32801,x32802)) % 197.39/197.41 [3281]P53(x32811,x32811,f271(x32811,x32812)) % 197.39/197.41 [3554]P18(x35541,x35541,f34(x35541),x35542) % 197.39/197.41 [3555]P18(x35551,x35551,f7(x35551),x35552) % 197.39/197.41 [3563]P30(x35631,x35632,f129(x35631),f129(x35631)) % 197.39/197.41 [3571]P18(f883(x35711),f883(x35711),f173(x35711),x35712) % 197.39/197.41 [4232]E(f276(x42321,x42321,x42322,x42322,a338,a338),a338) % 197.39/197.41 [4479]~E(f33(x44791,x44792),a25) % 197.39/197.41 [4480]~E(f32(x44801,x44802),a25) % 197.39/197.41 [4509]~P31(x45091,x45092,f129(x45091)) % 197.39/197.41 [3158]E(f341(f34(x31581),x31582),x31582) % 197.39/197.41 [3159]E(f341(f7(x31591),x31592),x31592) % 197.39/197.41 [3160]E(f341(f267(x31601),x31602),x31602) % 197.39/197.41 [3170]E(f341(f196(x31701),x31702),f131(x31701)) % 197.39/197.41 [3188]E(f96(x31881,f341(a338,x31882)),x31882) % 197.39/197.41 [3189]E(f102(x31891,f341(a338,x31892)),x31892) % 197.39/197.41 [3209]E(f341(f141(x32091,x32092),f129(x32091)),f129(x32091)) % 197.39/197.41 [3229]E(f315(x32291,f315(x32291,x32292)),f315(x32291,x32292)) % 197.39/197.41 [3230]E(f157(x32301,f157(x32301,x32302)),f157(x32301,x32302)) % 197.39/197.41 [3247]E(f341(f341(f137(x32471),x32472),f129(x32471)),x32472) % 197.39/197.41 [3257]E(f341(f341(f177(x32571),x32572),f129(x32571)),f129(x32571)) % 197.39/197.41 [3258]E(f341(f341(f143(x32581),x32582),f129(x32581)),f129(x32581)) % 197.39/197.41 [3260]E(f160(x32601,x32602,f129(x32601)),f2(a881)) % 197.39/197.41 [3262]E(f174(x32621,x32622,f129(x32621)),f129(x32621)) % 197.39/197.41 [3263]E(f180(x32631,x32632,f129(x32631)),f129(x32631)) % 197.39/197.41 [3264]E(f178(x32641,f129(x32641),x32642),f129(x32641)) % 197.39/197.41 [3268]E(f341(f176(x32681),f157(x32681,x32682)),f341(f176(x32681),x32682)) % 197.39/197.41 [3271]E(f341(f270(x32711,x32711),f271(x32711,x32712)),x32712) % 197.39/197.41 [3272]E(f341(f272(x32721,x32721),f271(x32721,x32722)),x32722) % 197.39/197.41 [3279]E(f341(f293(x32791,x32791),f271(x32791,x32792)),f271(x32791,x32792)) % 197.39/197.41 [3291]E(f315(f883(x32911),f162(x32911,x32912)),f163(x32911,f315(x32911,x32912))) % 197.39/197.41 [3293]P1(f341(f142(a1),f181(x32931,x32932))) % 197.39/197.41 [3301]E(f341(f270(x33011,x33011),f315(x33011,x33012)),f249(f889(x33011,a874))) % 197.39/197.41 [3302]E(f341(f272(x33021,x33021),f315(x33021,x33022)),f249(f889(x33021,a874))) % 197.39/197.41 [3306]P1(f341(f142(x33061),f157(x33061,x33062))) % 197.39/197.41 [3308]P1(f341(f165(x33081,x33082),f129(x33081))) % 197.39/197.41 [3316]E(f341(f176(a1),f181(x33161,x33162)),f310(a1,x33161,x33162)) % 197.39/197.41 [3332]P54(x33321,f193(f889(x33321,a874)),x33322) % 197.39/197.41 [3337]E(f341(f261(a1,a1),f58(x33371,x33372)),f57(a1,x33371,x33372)) % 197.39/197.41 [3338]E(f341(f309(a881,x33381),f341(a128,x33382)),f310(a881,x33381,x33382)) % 197.39/197.41 [3356]E(f341(f341(f156(x33561),x33562),f129(x33561)),f145(x33561,x33562,f129(x33561))) % 197.39/197.41 [3370]E(f310(a881,f341(a128,x33701),x33702),f312(a881,x33701,x33702)) % 197.39/197.41 [3373]P46(x33731,f249(f889(x33731,a874)),f315(x33731,x33732)) % 197.39/197.41 [3441]E(f341(f341(f3(a881),x34411),f341(a128,x34412)),f341(f37(a881),f313(a881,x34412,x34411))) % 197.39/197.41 [3493]E(f171(x34931,x34932,f129(x34931)),f341(f341(f257(f883(x34931),f883(x34931)),f129(x34931)),f129(x34931))) % 197.39/197.41 [3510]E(f341(f262(x35101,x35102,f888(x35101,x35102)),f257(x35101,x35102)),f34(f888(x35101,x35102))) % 197.39/197.41 [3514]P1(f341(f341(f344(f883(x35141)),f129(x35141)),f166(x35141,x35142))) % 197.39/197.41 [3515]E(f341(f194(f883(x35151)),f130(x35151,x35152)),f341(f341(f3(a881),f341(f194(f883(x35151)),x35152)),f89(a881))) % 197.39/197.41 [3524]P1(f341(f72(a881),f313(a881,x35241,x35242))) % 197.39/197.41 [3525]P1(f341(f72(a881),f312(a881,x35251,x35252))) % 197.39/197.41 [3526]P1(f341(f72(a881),f310(a881,x35261,x35262))) % 197.39/197.41 [3527]P1(f341(f72(a1),f313(a1,x35271,x35272))) % 197.39/197.41 [3528]P1(f341(f72(a1),f312(a1,x35281,x35282))) % 197.39/197.41 [3529]P1(f341(f72(a1),f310(a1,x35291,x35292))) % 197.39/197.41 [3589]E(f341(f341(f317(a881,a881),a128),f310(a881,x35891,x35892)),f310(a881,f341(a128,x35891),f341(a128,x35892))) % 197.39/197.41 [3652]E(f341(f341(f296(x36521,x36521,x36521),f315(x36521,x36522)),f315(x36521,x36522)),f315(x36521,x36522)) % 197.39/197.41 [3682]E(f341(f341(f257(a1,a1),f341(f341(f38(a1),x36821),x36822)),f57(a1,x36821,x36822)),f58(x36821,x36822)) % 197.39/197.41 [3683]E(f341(f341(f257(a115,a115),f341(f341(f38(a115),x36831),x36832)),f57(a115,x36831,x36832)),f24(x36831,x36832)) % 197.39/197.41 [3696]P18(x36961,f889(f879(x36961,x36962),a874),f48(x36961,x36962),f249(f889(x36961,a874))) % 197.39/197.41 [3710]E(f341(f341(f257(a881,a881),f341(f341(f38(a881),x37101),x37102)),f57(a881,x37101,x37102)),f96(f888(a881,a881),f60(x37101,x37102))) % 197.39/197.41 [3762]P1(f341(f341(f242(a881),f341(f341(f3(a881),x37621),x37622)),f341(a128,x37621))) % 197.39/197.41 [3854]E(f341(f341(f91(a1),f341(f341(f92(a1),x38541),f341(f341(f38(a1),x38542),x38541))),f57(a1,x38542,x38541)),x38542) % 197.39/197.41 [3859]E(f341(f341(f42(a881,f889(f888(f883(x38591),f883(x38591)),a874)),f249(f889(a881,a874))),f148(x38591,x38592)),f150(x38591,x38592)) % 197.39/197.41 [3866]E(f341(f341(f82(f887(x38661,a881),f889(f879(x38661,x38662),a874),x38661),f49(x38661,x38662)),f319(x38661,a881)),f48(x38661,x38662)) % 197.39/197.41 [4039]P55(f879(x40391,x40392),f888(f889(a881,f887(x40392,a881)),f887(x40391,a881)),f47(x40391,x40392),f41(x40392,x40391),f51(x40392,x40391)) % 197.39/197.41 [4084]P1(f341(f341(f344(f888(f883(x40841),f883(x40841))),f341(f341(f257(f883(x40841),f883(x40841)),f129(x40841)),f129(x40841))),f163(x40841,x40842))) % 197.39/197.41 [4194]E(f258(x41941,x41941,x41941,a338,f258(x41941,x41941,x41941,x41942,a338)),x41942) % 197.39/197.41 [4234]E(f87(x42341,x42341,x42342,x42342,f34(x42341),f34(x42342)),f34(f889(x42341,x42342))) % 197.39/197.41 [4235]E(f87(x42351,x42351,x42352,x42352,f7(x42351),f7(x42352)),f34(f889(x42351,x42352))) % 197.39/197.41 [4238]E(f263(x42381,x42381,x42382,x42382,f34(x42381),f34(x42382)),f34(f888(x42381,x42382))) % 197.39/197.41 [4239]E(f263(x42391,x42391,x42392,x42392,f7(x42391),f7(x42392)),f34(f888(x42391,x42392))) % 197.39/197.41 [3246]E(f341(f173(x32461),f341(f173(x32461),x32462)),x32462) % 197.39/197.41 [3248]E(f341(f341(f143(x32481),f2(a881)),x32482),x32482) % 197.39/197.41 [3259]E(f341(f341(f177(x32591),f2(a881)),x32592),f129(x32591)) % 197.39/197.41 [3266]E(f341(f341(f137(x32661),f129(x32661)),x32662),x32662) % 197.39/197.41 [3275]E(f39(f889(x32751,a874),f341(f316(x32751),x32752)),x32752) % 197.39/197.41 [3277]E(f341(f176(x32771),f341(f172(x32771),x32772)),f341(f176(x32771),x32772)) % 197.39/197.41 [3278]E(f341(f176(x32781),f341(f173(x32781),x32782)),f341(f176(x32781),x32782)) % 197.39/197.41 [3283]E(f341(f341(f3(a115),x32831),x32832),f341(f341(a4,x32831),x32832)) % 197.39/197.41 [3295]E(f341(f341(f91(a881),x32951),x32952),f341(f341(f91(a881),x32952),x32951)) % 197.39/197.41 [3296]E(f341(f341(f91(a1),x32961),x32962),f341(f341(f91(a1),x32962),x32961)) % 197.39/197.41 [3297]E(f341(f341(f92(a881),x32971),x32972),f341(f341(f92(a881),x32972),x32971)) % 197.39/197.41 [3298]E(f341(f341(f92(a1),x32981),x32982),f341(f341(f92(a1),x32982),x32981)) % 197.39/197.41 [3322]E(f341(f341(f186(x33221,x33221),f2(a881)),x33222),f34(x33221)) % 197.39/197.41 [3323]E(f341(f194(f883(x33231)),f341(f172(x33231),x33232)),f341(f194(f883(x33231)),x33232)) % 197.39/197.41 [3324]E(f341(f194(f883(x33241)),f341(f173(x33241),x33242)),f341(f194(f883(x33241)),x33242)) % 197.39/197.41 [3325]E(f178(x33251,x33252,f193(f889(a881,a874))),f129(x33251)) % 197.39/197.41 [3326]E(f341(f341(f317(x33261,x33261),f34(x33261)),x33262),x33262) % 197.39/197.41 [3327]E(f341(f341(f317(x33271,x33271),f7(x33271)),x33272),x33272) % 197.39/197.41 [3328]E(f341(f341(f159(x33281,x33281),f7(x33281)),x33282),x33282) % 197.39/197.41 [3330]E(f341(f256(a1,a1),f58(x33301,x33302)),f341(f341(f38(a1),x33301),x33302)) % 197.39/197.41 [3348]E(f341(f194(f883(x33481)),f157(x33481,x33482)),f341(f37(x33481),f341(f176(x33481),x33482))) % 197.39/197.41 [3349]E(f31(f32(x33491,x33492)),f341(f341(f91(a881),f31(x33492)),f341(a128,f2(a881)))) % 197.39/197.41 [3350]E(f341(f291(x33501),f341(f293(x33501,x33501),x33502)),f341(f291(x33501),x33502)) % 197.39/197.41 [3355]P1(f341(f72(x33551),f341(f176(x33551),x33552))) % 197.39/197.41 [3364]E(f341(f341(f91(a1),x33641),f341(f90(a1),x33642)),f341(f341(f3(a1),x33641),x33642)) % 197.39/197.41 [3372]P17(x33721,x33722,f193(f889(f880(x33721),a874))) % 197.39/197.41 [3376]E(f341(f320(x33761,x33761,f34(x33761)),x33762),x33762) % 197.39/197.41 [3377]E(f341(f320(x33771,x33771,f7(x33771)),x33772),x33772) % 197.39/197.41 [3378]P1(f341(f249(f889(x33781,a874)),x33782)) % 197.39/197.41 [3380]E(f341(f37(a881),f341(f309(a881,x33801),x33802)),f341(f341(f3(a881),x33802),x33801)) % 197.39/197.41 [3381]E(f341(f309(a881,f341(a128,x33811)),x33812),f313(a881,x33811,x33812)) % 197.39/197.41 [3395]E(f341(f341(f318(x33951),x33952),f193(f889(x33951,a874))),f341(f267(x33951),f341(a338,x33952))) % 197.39/197.41 [3405]E(f315(x34051,f341(f293(x34051,x34051),x34052)),f341(f293(x34051,x34051),f315(x34051,x34052))) % 197.39/197.41 [3410]E(f341(f341(f91(a881),f341(a128,x34101)),x34102),f341(f341(f91(a881),x34101),f341(a128,x34102))) % 197.39/197.41 [3411]E(f341(f341(f3(a881),f341(a128,x34111)),f341(a128,x34112)),f341(f341(f3(a881),x34111),x34112)) % 197.39/197.41 [3417]E(f67(x34171,f2(a881),x34172),f341(f341(f156(f883(x34171)),f129(x34171)),f129(f883(x34171)))) % 197.39/197.41 [3418]E(f341(f37(a881),f312(a881,x34181,x34182)),f341(f341(f3(a881),x34182),x34181)) % 197.39/197.41 [3428]P34(x34281,f341(f341(f295(a881,x34281),a247),x34282)) % 197.39/197.41 [3429]P16(a881,f144(a881,f341(f309(a881,x34291),x34292))) % 197.39/197.41 [3431]P1(f341(f72(a881),f341(f309(a881,x34311),x34312))) % 197.39/197.41 [3432]P1(f341(f72(a1),f341(f309(a1,x34321),x34322))) % 197.39/197.41 [3433]E(f341(f293(f883(x34331),f883(x34331)),f162(x34331,x34332)),f162(x34331,f341(f293(x34331,x34331),x34332))) % 197.39/197.41 [3434]E(f341(f194(a875),f32(x34341,x34342)),f341(f341(f91(a881),f341(f194(a875),x34342)),f341(a128,f2(a881)))) % 197.39/197.41 [3437]E(f341(f309(a1,x34371),f341(f341(f91(a1),x34372),f89(a1))),f310(a1,x34371,x34372)) % 197.39/197.41 [3440]E(f341(f341(f38(a1),f341(f90(a1),x34401)),f341(f90(a1),x34402)),f341(f341(f38(a1),x34401),x34402)) % 197.39/197.41 [3447]E(f341(f341(f186(f888(x34471,x34471),a874),f89(a881)),x34472),x34472) % 197.39/197.41 [3449]E(f341(f341(f3(f889(x34491,a874)),x34492),f193(f889(x34491,a874))),x34492) % 197.39/197.41 [3450]E(f341(f341(f125(f889(x34501,a874)),x34502),f193(f889(x34501,a874))),x34502) % 197.39/197.41 [3451]E(f341(f341(f126(f889(x34511,a874)),x34512),f249(f889(x34511,a874))),x34512) % 197.39/197.41 [3452]E(f341(f256(a881,a881),f96(f888(a881,a881),f60(x34521,x34522))),f341(f341(f38(a881),x34521),x34522)) % 197.39/197.41 [3458]E(f310(a1,f341(f341(f91(a1),x34581),f89(a1)),x34582),f312(a1,x34581,x34582)) % 197.39/197.41 [3464]E(f341(f261(a881,a881),f96(f888(a881,a881),f60(x34641,x34642))),f57(a881,x34641,x34642)) % 197.39/197.41 [3474]P1(f341(f341(f344(x34741),x34742),f249(f889(x34741,a874)))) % 197.39/197.41 [3478]E(f341(f341(f3(a881),f341(a128,x34781)),x34782),f341(f37(a881),f310(a881,x34782,x34781))) % 197.39/197.41 [3502]E(f341(f341(f3(f889(x35021,a874)),x35022),f249(f889(x35021,a874))),f193(f889(x35021,a874))) % 197.39/197.41 [3503]E(f341(f341(f125(f889(x35031,a874)),x35032),f249(f889(x35031,a874))),f249(f889(x35031,a874))) % 197.39/197.41 [3504]E(f341(f341(f126(f889(x35041,a874)),x35042),f193(f889(x35041,a874))),f193(f889(x35041,a874))) % 197.39/197.41 [3518]E(f57(a1,f341(f116(a1),x35181),f341(f116(a1),x35182)),f341(f116(a1),f57(a881,x35181,x35182))) % 197.39/197.41 [3519]E(f57(a1,f341(f90(a1),x35191),f341(f90(a1),x35192)),f341(f90(a1),f57(a1,x35191,x35192))) % 197.39/197.41 [3530]E(f341(f194(f883(x35301)),f341(f175(x35301),x35302)),f341(f341(f3(a881),f341(f194(f883(x35301)),x35302)),f89(a881))) % 197.39/197.41 [3556]E(f341(f341(f317(a881,a881),a128),f341(f309(a881,x35561),x35562)),f341(f309(a881,f341(a128,x35561)),f341(a128,x35562))) % 197.39/197.41 [3557]E(f341(f341(f38(a1),f57(a1,x35571,x35572)),x35572),f2(a1)) % 197.39/197.41 [3566]E(f341(a5,f57(a881,f341(a22,x35661),f341(a22,x35662))),f57(a115,x35661,x35662)) % 197.39/197.41 [3599]E(f341(a5,f341(f341(f91(a881),f341(a22,x35991)),f341(a22,x35992))),f341(f341(f91(a115),x35991),x35992)) % 197.39/197.41 [3600]E(f341(a5,f341(f341(f92(a881),f341(a22,x36001)),f341(a22,x36002))),f341(f341(f92(a115),x36001),x36002)) % 197.39/197.41 [3601]E(f341(a5,f341(f341(f38(a881),f341(a22,x36011)),f341(a22,x36012))),f341(f341(f38(a115),x36011),x36012)) % 197.39/197.41 [3602]E(f341(a5,f341(f341(f3(a881),f341(a22,x36021)),f341(a22,x36022))),f341(f341(f3(a115),x36021),x36022)) % 197.39/197.41 [3636]P1(f341(f60(x36361,x36362),f96(f888(a881,a881),f60(x36361,x36362)))) % 197.39/197.41 [3657]E(f341(f341(f91(a881),f341(f341(f91(a881),f31(x36571)),f31(x36572))),f341(a128,f2(a881))),f31(f33(x36571,x36572))) % 197.39/197.41 [3658]E(f57(a881,f341(a128,f57(a881,x36581,x36582)),x36582),f57(a881,f341(a128,x36581),x36582)) % 197.39/197.41 [3670]E(f341(f341(f42(f889(x36701,a874),f889(x36701,a874)),x36702),f7(f889(x36701,a874))),f39(f889(x36701,a874),x36702)) % 197.39/197.41 [3671]E(f341(f341(f43(f889(x36711,a874),f889(x36711,a874)),x36712),f7(f889(x36711,a874))),f40(f889(x36711,a874),x36712)) % 197.39/197.41 [3674]P1(f341(f341(f344(f889(x36741,a874)),x36742),f341(f316(x36741),x36742))) % 197.39/197.41 [3681]E(f57(a1,f341(f90(a1),f57(a1,x36811,x36812)),x36812),f57(a1,f341(f90(a1),x36811),x36812)) % 197.39/197.41 [3692]E(f341(f341(f317(f883(x36921),f889(x36921,a874)),f176(x36921)),f341(f176(f883(x36921)),f66(x36921,x36922))),f341(f316(x36921),f341(f176(x36921),x36922))) % 197.39/197.41 [3693]P1(f341(f341(f241(f889(x36931,a874)),x36932),f249(f889(x36931,a874)))) % 197.39/197.41 [3694]E(f341(f341(f296(x36941,x36941,x36941),f315(x36941,x36942)),f315(x36941,f315(x36941,x36942))),f315(x36941,x36942)) % 197.39/197.41 [3695]E(f341(f341(f125(f889(x36951,a874)),f341(f272(x36951,x36951),x36952)),f341(f270(x36951,x36951),x36952)),f341(f291(x36951),x36952)) % 197.39/197.41 [3716]E(f324(x37161,x37162,f249(f889(x37161,a874)),f249(f889(x37162,a874))),f249(f889(f887(x37161,x37162),a874))) % 197.39/197.41 [3766]P1(f341(f341(f241(a881),f57(a881,x37661,x37662)),x37661)) % 197.39/197.41 [3770]P18(f887(x37701,a881),f889(f879(x37701,x37702),a874),f49(x37701,x37702),f249(f889(f887(x37701,a881),a874))) % 197.39/197.41 [3786]P1(f341(f341(f241(a1),f341(f90(a1),f341(f116(a1),x37861))),f341(f116(a1),x37862))) % 197.39/197.41 [3809]P1(f341(f341(f344(f889(x38091,a874)),f193(f889(x38091,a874))),f341(f316(x38091),x38092))) % 197.39/197.41 [3813]E(f315(x38131,f341(f341(f296(x38131,x38131,x38131),x38132),f315(x38131,x38132))),f315(x38131,x38132)) % 197.39/197.41 [3816]E(f341(f341(f296(x38161,x38161,x38161),f315(x38161,x38162)),x38162),f341(f341(f296(x38161,x38161,x38161),x38162),f315(x38161,x38162))) % 197.39/197.41 [3822]E(f341(a119,f341(f341(f91(a1),f341(f341(f3(a1),x38221),x38222)),f89(a1))),f341(f37(a1),f310(a1,x38222,x38221))) % 197.39/197.41 [3835]E(f341(f270(x38351,x38351),f341(f341(f296(x38351,x38351,x38351),x38352),f315(x38351,x38352))),f341(f270(x38351,x38351),x38352)) % 197.39/197.41 [3836]E(f341(f272(x38361,x38361),f341(f341(f296(x38361,x38361,x38361),x38362),f315(x38361,x38362))),f341(f272(x38361,x38361),x38362)) % 197.39/197.41 [3851]E(f341(f341(f91(a881),f341(f341(f91(a881),f341(f194(a875),x38511)),f341(f194(a875),x38512))),f341(a128,f2(a881))),f341(f194(a875),f33(x38511,x38512))) % 197.39/197.41 [3863]P18(a881,a881,f341(f341(f9(a881,a881,a881),f91(a881)),x38631),x38632) % 197.39/197.41 [3865]P16(a881,f341(f173(a881),f341(f341(f159(f883(x38651),a881),f194(f883(x38651))),f182(x38651,x38652)))) % 197.39/197.41 [3904]P1(f341(f341(f242(a1),f341(f90(a1),f341(f116(a1),f341(a128,x39041)))),f341(f116(a1),x39042))) % 197.39/197.41 [3948]E(f341(f147(f883(x39481),x39481,f341(f9(x39481,f883(x39481),f883(x39481)),f156(x39481)),f129(x39481)),x39482),f341(f173(x39481),x39482)) % 197.39/197.41 [4003]P1(f341(f341(f241(f889(f888(f883(x40031),f883(x40031)),a874)),f163(x40031,x40032)),f315(f883(x40031),f162(x40031,x40032)))) % 197.39/197.41 [4045]P1(f341(f60(x40451,x40452),f341(f341(f257(a881,a881),f341(f341(f38(a881),x40451),x40452)),f57(a881,x40451,x40452)))) % 197.39/197.41 [4052]P1(f341(f341(f241(f889(f888(f883(x40521),f883(x40521)),a874)),f162(x40521,f315(x40521,x40522))),f315(f883(x40521),f162(x40521,x40522)))) % 197.39/197.41 [4266]E(f341(f341(f264(f888(a115,a115),a115,f888(a115,a115),f888(x42661,f888(a115,a115))),f275(f341(f170(a115),f341(f341(f159(f888(a115,x42661),a115),f256(a115,x42661)),x42662)))),f341(f341(f10(x42661,f889(f888(a115,a115),f888(x42661,f888(a115,a115))),a115),f257(x42661,f888(a115,a115))),f280(x42661,x42662))),f274(x42661,x42662)) % 197.39/197.41 [4459]E(f341(f262(f889(f888(x44591,x44591),a874),f889(f888(x44591,x44591),a874),f889(f889(x44592,x44591),f888(f889(f888(x44592,x44592),a874),f889(f888(x44592,x44592),a874)))),f341(f341(f9(f889(f888(x44591,x44591),a874),f889(f889(f888(x44591,x44591),a874),f889(f889(x44592,x44591),f889(f888(x44592,x44592),a874))),f889(f889(f888(x44591,x44591),a874),f889(f889(x44592,x44591),f888(f889(f888(x44592,x44592),a874),f889(f888(x44592,x44592),a874))))),f341(f341(f10(f889(f889(f889(x44592,x44591),f889(f888(x44592,x44592),a874)),f889(f889(x44592,x44591),f888(f889(f888(x44592,x44592),a874),f889(f888(x44592,x44592),a874)))),f889(f889(f889(f888(x44591,x44591),a874),f889(f889(x44592,x44591),f889(f888(x44592,x44592),a874))),f889(f889(f888(x44591,x44591),a874),f889(f889(x44592,x44591),f888(f889(f888(x44592,x44592),a874),f889(f888(x44592,x44592),a874))))),f889(f888(x44591,x44591),a874)),f10(f889(f889(x44592,x44591),f889(f888(x44592,x44592),a874)),f889(f889(x44592,x44591),f888(f889(f888(x44592,x44592),a874),f889(f888(x44592,x44592),a874))),f889(f888(x44591,x44591),a874))),f341(f341(f10(f889(f889(x44592,x44591),f889(f889(f888(x44592,x44592),a874),f888(f889(f888(x44592,x44592),a874),f889(f888(x44592,x44592),a874)))),f889(f889(f889(x44592,x44591),f889(f888(x44592,x44592),a874)),f889(f889(x44592,x44591),f888(f889(f888(x44592,x44592),a874),f889(f888(x44592,x44592),a874)))),f889(f888(x44591,x44591),a874)),f20(f889(x44592,x44591),f889(f888(x44592,x44592),a874),f888(f889(f888(x44592,x44592),a874),f889(f888(x44592,x44592),a874)))),f341(f341(f10(f889(f889(x44592,x44591),f889(f888(x44592,x44592),a874)),f889(f889(x44592,x44591),f889(f889(f888(x44592,x44592),a874),f888(f889(f888(x44592,x44592),a874),f889(f888(x44592,x44592),a874)))),f889(f888(x44591,x44591),a874)),f341(f10(f889(f888(x44592,x44592),a874),f889(f889(f888(x44592,x44592),a874),f888(f889(f888(x44592,x44592),a874),f889(f888(x44592,x44592),a874))),f889(x44592,x44591)),f257(f889(f888(x44592,x44592),a874),f889(f888(x44592,x44592),a874)))),f295(x44591,x44592))))),f295(x44591,x44592))),f83(x44591,x44592)) % 197.39/197.41 [4542]~E(f341(f316(x45421),x45422),f193(f889(f889(x45421,a874),a874))) % 197.39/197.41 [4564]~P1(f341(f341(f344(x45641),x45642),f193(f889(x45641,a874)))) % 197.39/197.41 [4572]~P1(f341(f341(f242(f889(x45721,a874)),x45722),f193(f889(x45721,a874)))) % 197.39/197.41 [3383]E(f341(f341(f3(a881),x33831),f341(f341(f91(a881),x33831),x33832)),f2(a881)) % 197.39/197.41 [3386]E(f341(f341(f125(f889(x33861,a874)),x33862),x33862),x33862) % 197.39/197.41 [3387]E(f341(f341(f126(f889(x33871,a874)),x33872),x33872),x33872) % 197.39/197.41 [3420]E(f341(f341(f3(f889(x34201,a874)),x34202),x34202),f193(f889(x34201,a874))) % 197.39/197.41 [3424]E(f341(f148(x34241,x34242),f2(a881)),f193(f889(f888(f883(x34241),f883(x34241)),a874))) % 197.39/197.41 [3425]E(f341(f341(f91(a881),x34251),f341(a128,x34252)),f341(a128,f341(f341(f91(a881),x34251),x34252))) % 197.39/197.41 [3436]E(f200(f341(f116(a1),x34361),f341(f116(a1),x34362)),f341(f116(a1),f341(f341(f3(a881),x34361),x34362))) % 197.39/197.41 [3439]E(f341(f341(f38(a1),f341(f90(a1),x34391)),x34392),f341(f341(f38(a1),x34391),f341(f90(a1),x34392))) % 197.39/197.41 [3442]E(f341(f37(a1),f341(f309(a1,x34421),x34422)),f341(a119,f341(f341(f3(a1),x34422),x34421))) % 197.39/197.41 [3445]E(f341(f341(f91(a881),f341(a128,x34451)),x34452),f341(a128,f341(f341(f91(a881),x34451),x34452))) % 197.39/197.41 [3448]E(f341(f90(f889(x34481,a874)),f341(f90(f889(x34481,a874)),x34482)),x34482) % 197.39/197.41 [3460]E(f182(x34601,f341(f341(f156(f883(x34601)),f129(x34601)),x34602)),f182(x34601,x34602)) % 197.39/197.41 [3465]E(f341(f341(f91(a881),x34651),f341(f341(f92(a881),x34651),x34652)),f341(f341(f92(a881),x34651),f341(a128,x34652))) % 197.39/197.41 [3472]E(f341(f341(a4,f341(a5,x34721)),f341(a5,x34722)),f341(a5,f341(f341(f3(a881),x34721),x34722))) % 197.39/197.41 [3484]E(f341(f341(f92(a1),f341(f90(a1),x34841)),x34842),f341(f90(a1),f341(f341(f92(a1),x34841),x34842))) % 197.39/197.41 [3486]E(f341(f341(f251(a1),f341(f116(a1),x34861)),x34862),f341(f116(a1),f341(f341(f251(a881),x34861),x34862))) % 197.39/197.41 [3487]E(f341(f341(f91(a115),f341(a5,x34871)),f341(a5,x34872)),f341(a5,f341(f341(f91(a881),x34871),x34872))) % 197.39/197.41 [3488]E(f341(f341(f92(a115),f341(a5,x34881)),f341(a5,x34882)),f341(a5,f341(f341(f92(a881),x34881),x34882))) % 197.39/197.41 [3489]E(f341(f341(f246(a881),f341(a128,x34891)),f341(a128,x34892)),f341(a128,f341(f341(f246(a881),x34891),x34892))) % 197.39/197.41 [3490]E(f341(f341(f192(a881),f341(a128,x34901)),f341(a128,x34902)),f341(a128,f341(f341(f192(a881),x34901),x34902))) % 197.39/197.41 [3495]E(f341(f176(a881),f144(a881,f341(f309(a881,x34951),x34952))),f341(f309(a881,x34951),x34952)) % 197.39/197.41 [3496]E(f321(x34961,f341(f341(f318(x34961),x34962),f193(f889(x34961,a874)))),x34962) % 197.39/197.41 [3500]E(f341(f270(x35001,x35002),f193(f889(f888(x35001,x35002),a874))),f193(f889(x35002,a874))) % 197.39/197.41 [3501]E(f341(f272(x35011,x35012),f193(f889(f888(x35011,x35012),a874))),f193(f889(x35011,a874))) % 197.39/197.41 [3505]E(f341(a119,f341(f341(f3(a1),x35051),x35052)),f341(f37(a1),f312(a1,x35052,x35051))) % 197.39/197.41 [3509]E(f341(f341(f91(a881),x35091),f341(f341(f92(a881),x35092),x35091)),f341(f341(f92(a881),f341(a128,x35092)),x35091)) % 197.39/197.41 [3511]E(f341(f341(f71(x35111),f193(f889(x35111,a874))),x35112),f193(f889(f889(x35111,a874),a874))) % 197.39/197.41 [3520]E(f341(f194(f883(a881)),f144(a881,f341(f309(a881,x35201),x35202))),f341(f341(f3(a881),x35202),x35201)) % 197.39/197.41 [3536]E(f341(f341(f125(f889(x35361,a874)),f193(f889(x35361,a874))),x35362),x35362) % 197.39/197.41 [3537]E(f341(f341(f126(f889(x35371,a874)),f249(f889(x35371,a874))),x35372),x35372) % 197.39/197.41 [3540]E(f341(f341(f91(a1),f341(f90(a1),x35401)),f341(f90(a1),x35402)),f341(f90(a1),f341(f341(f91(a1),x35401),x35402))) % 197.39/197.41 [3543]E(f341(f341(f91(a1),f341(f116(a1),x35431)),f341(f116(a1),x35432)),f341(f116(a1),f341(f341(f91(a881),x35431),x35432))) % 197.39/197.41 [3544]E(f341(f341(f91(a1),f341(f118(a1),x35441)),f341(f118(a1),x35442)),f341(f118(a1),f341(f341(f91(a1),x35441),x35442))) % 197.39/197.41 [3546]E(f341(f341(f92(a1),f341(f116(a1),x35461)),f341(f116(a1),x35462)),f341(f116(a1),f341(f341(f92(a881),x35461),x35462))) % 197.39/197.41 [3547]E(f341(f341(f92(a1),f341(f118(a1),x35471)),f341(f118(a1),x35472)),f341(f118(a1),f341(f341(f92(a1),x35471),x35472))) % 197.39/197.41 [3548]E(f341(f341(f38(a1),f341(f116(a1),x35481)),f341(f116(a1),x35482)),f341(f116(a1),f341(f341(f38(a881),x35481),x35482))) % 197.39/197.41 [3567]E(f341(f341(f8(x35671,a881),f341(f18(a881,x35671),f89(a881))),x35672),f341(f37(x35671),x35672)) % 197.39/197.41 [3574]E(f341(f90(a1),f57(a1,f341(f90(a1),x35741),x35742)),f57(a1,x35741,f341(f90(a1),x35742))) % 197.39/197.41 [3576]E(f341(f176(a1),f181(x35761,f341(f341(f3(a1),x35762),f89(a1)))),f341(f309(a1,x35761),x35762)) % 197.39/197.41 [3579]P1(f341(f341(f241(a881),x35791),f341(f341(f91(a881),x35792),x35791))) % 197.39/197.41 [3580]P1(f341(f341(f241(a881),x35801),f341(f341(f91(a881),x35801),x35802))) % 197.39/197.41 [3583]E(f341(f341(f3(f889(x35831,a874)),f193(f889(x35831,a874))),x35832),f193(f889(x35831,a874))) % 197.39/197.41 [3584]E(f341(f341(f125(f889(x35841,a874)),f249(f889(x35841,a874))),x35842),f249(f889(x35841,a874))) % 197.39/197.41 [3585]E(f341(f341(f126(f889(x35851,a874)),f193(f889(x35851,a874))),x35852),f193(f889(x35851,a874))) % 197.39/197.41 [3591]E(f341(f341(f257(a1,a1),x35911),f341(f90(a1),x35912)),f341(a63,f341(f341(f257(a1,a1),x35911),x35912))) % 197.39/197.41 [3592]E(f341(f341(f341(f187(a881),f2(a881)),f7(a881)),f341(f341(f3(a881),x35921),x35922)),f341(f341(f3(a881),x35921),f341(a128,x35922))) % 197.39/197.41 [3593]E(f341(f309(a1,f341(f341(f91(a1),x35931),f89(a1))),x35932),f313(a1,x35931,x35932)) % 197.39/197.41 [3603]E(f341(f341(f92(a881),x36031),f341(f341(f38(a881),x36032),x36031)),f341(f341(f3(a881),x36032),f57(a881,x36032,x36031))) % 197.39/197.41 [3604]E(f341(f341(f92(a1),x36041),f341(f341(f38(a1),x36042),x36041)),f341(f341(f3(a1),x36042),f57(a1,x36042,x36041))) % 197.39/197.41 [3610]E(f341(f176(a1),f181(f341(f341(f91(a1),x36101),f89(a1)),x36102)),f312(a1,x36101,x36102)) % 197.39/197.41 [3613]P1(f341(f341(f241(f889(x36131,a874)),x36132),x36132)) % 197.39/197.41 [3618]E(f341(f341(f125(f889(x36181,a874)),x36182),f341(f90(f889(x36181,a874)),x36182)),f249(f889(x36181,a874))) % 197.39/197.41 [3619]E(f341(f341(f126(f889(x36191,a874)),x36192),f341(f90(f889(x36191,a874)),x36192)),f193(f889(x36191,a874))) % 197.39/197.41 [3623]E(f341(f341(f3(a881),f341(f341(f3(a881),x36231),f89(a881))),x36232),f341(f341(f3(a881),x36231),f341(a128,x36232))) % 197.39/197.41 [3629]E(f341(f341(f3(f889(x36291,a874)),f249(f889(x36291,a874))),x36292),f341(f90(f889(x36291,a874)),x36292)) % 197.39/197.41 [3630]E(f341(f341(f3(a1),f341(f118(a1),x36301)),f341(f118(a1),x36302)),f341(f118(a1),f341(f341(f91(a1),x36301),f341(f90(a1),x36302)))) % 197.39/197.41 [3641]E(f341(f176(a881),f144(a881,f341(f309(a881,x36411),f341(a128,x36412)))),f310(a881,x36411,x36412)) % 197.39/197.41 [3650]P1(f341(f341(f341(f341(a201,a25),x36501),x36502),x36501)) % 197.39/197.41 [3655]E(f341(f194(f883(f883(x36551))),f66(x36551,x36552)),f341(f341(f251(a881),f341(a128,f341(a128,f2(a881)))),f341(f194(f883(x36551)),x36552))) % 197.39/197.41 [3660]E(f341(f341(f317(a1,a881),a119),f310(a1,f341(f116(a1),x36601),f341(f116(a1),x36602))),f310(a881,x36601,x36602)) % 197.39/197.41 [3672]E(f341(f341(f186(f888(x36721,x36721),a874),f2(a881)),x36722),f315(x36721,f193(f889(f888(x36721,x36721),a874)))) % 197.39/197.41 [3676]P1(f341(f142(a881),f144(a881,f341(f309(a881,x36761),x36762)))) % 197.39/197.41 [3703]E(f341(a119,f341(f341(f3(a1),x37031),f341(f341(f91(a1),x37032),f89(a1)))),f341(f37(a1),f313(a1,x37032,x37031))) % 197.39/197.41 [3740]E(f341(f341(f159(a881,a881),a128),f144(a881,f341(f309(a881,x37401),x37402))),f144(a881,f341(f309(a881,f341(a128,x37401)),f341(a128,x37402)))) % 197.39/197.41 [3748]E(f341(f176(a1),f181(f341(f341(f91(a1),x37481),f89(a1)),f341(f341(f3(a1),x37482),f89(a1)))),f313(a1,x37481,x37482)) % 197.39/197.41 [3759]P1(f341(f341(f241(f889(x37591,a874)),f193(f889(x37591,a874))),x37592)) % 197.39/197.41 [3763]E(f96(x37631,f341(f341(f9(x37631,x37631,a874),a338),x37632)),x37632) % 197.39/197.41 [3764]E(f102(x37641,f341(f341(f9(x37641,x37641,a874),a338),x37642)),x37642) % 197.39/197.41 [3767]E(f341(f176(a881),f144(a881,f341(f309(a881,f341(a128,x37671)),f341(a128,x37672)))),f312(a881,x37671,x37672)) % 197.39/197.41 [3789]E(f341(f341(f259(x37891,x37892),f249(f889(x37891,a874))),f341(f18(f889(x37892,a874),x37891),f249(f889(x37892,a874)))),f249(f889(f888(x37891,x37892),a874))) % 197.39/197.41 [3824]E(f341(f267(x38241),f341(f341(f10(a874,a874,x38241),a336),x38242)),f341(f90(f889(x38241,a874)),f341(f267(x38241),x38242))) % 197.39/197.41 [3827]E(f341(f267(x38271),f341(f341(f9(x38271,x38271,a874),a338),x38272)),f341(f341(f318(x38271),x38272),f193(f889(x38271,a874)))) % 197.39/197.41 [3832]E(f341(f341(f91(a1),f341(f341(f91(a1),x38321),x38321)),f341(f341(f91(a1),x38322),x38322)),f341(f341(f91(a1),f341(f341(f91(a1),x38321),x38322)),f341(f341(f91(a1),x38321),x38322))) % 197.39/197.41 [3833]E(f341(f341(f3(a1),f341(f341(f91(a1),x38331),x38331)),f341(f341(f91(a1),x38332),x38332)),f341(f341(f91(a1),f341(f341(f3(a1),x38331),x38332)),f341(f341(f3(a1),x38331),x38332))) % 197.39/197.41 [3848]P1(f341(f341(f241(a881),f341(f37(x38481),f341(f176(x38481),x38482))),f341(f194(f883(x38481)),x38482))) % 197.39/197.41 [3849]P1(f341(f341(f241(a881),f341(f194(f883(x38491)),f157(x38491,x38492))),f341(f194(f883(x38491)),x38492))) % 197.39/197.41 [3855]E(f209(x38551,f341(f341(f257(a1,a1),f341(f90(a1),f341(f227(x38551),x38552))),f341(f220(x38551),x38552))),f231(x38551,x38552)) % 197.39/197.41 [3860]E(f341(f267(x38601),f341(f341(f9(x38601,f889(x38601,a874),a874),f344(x38601)),x38602)),x38602) % 197.39/197.41 [3874]E(f341(f341(f177(x38741),f341(f341(f3(a881),f341(f194(f883(x38741)),x38742)),f89(a881))),x38742),f130(x38741,x38742)) % 197.39/197.41 [3900]E(f341(f341(f257(a1,a1),f341(f341(f38(a1),f341(f85(a1),x39001)),f341(f85(a1),x39002))),f57(a1,f341(f85(a1),x39001),f341(f85(a1),x39002))),f65(x39001,x39002)) % 197.39/197.41 [3919]P1(f341(f341(f241(f889(f889(x39191,a874),a874)),x39192),f341(f316(x39191),f39(f889(x39191,a874),x39192)))) % 197.39/197.41 [3953]E(f341(f341(f42(x39531,f889(x39531,a874)),x39532),f341(f341(f9(x39531,f889(x39531,a874),f889(x39531,a874)),f318(x39531)),f193(f889(x39531,a874)))),x39532) % 197.39/197.41 [3954]E(f341(f341(f296(x39541,x39541,x39541),f341(f293(x39541,x39541),x39542)),f315(x39541,f341(f293(x39541,x39541),x39542))),f341(f293(x39541,x39541),f341(f341(f296(x39541,x39541,x39541),x39542),f315(x39541,x39542)))) % 197.39/197.41 [3961]E(f39(f889(x39611,a874),f341(f341(f317(f889(f888(x39611,x39611),a874),f889(x39611,a874)),f291(x39611)),x39612)),f341(f291(x39611),f39(f889(f888(x39611,x39611),a874),x39612))) % 197.39/197.41 [4032]E(f341(f176(x40321),f341(f147(f883(x40321),f883(x40321),f137(x40321),f129(x40321)),x40322)),f341(f341(f42(f883(x40321),f889(x40321,a874)),f341(f176(f883(x40321)),x40322)),f176(x40321))) % 197.39/197.41 [4061]E(f341(f341(f125(f889(f888(x40611,x40611),a874)),f315(x40611,f193(f889(f888(x40611,x40611),a874)))),f341(f341(f296(x40611,x40611,x40611),f315(x40611,x40612)),x40612)),f315(x40611,x40612)) % 197.39/197.41 [4089]E(f341(f341(f184(x40891,x40891),x40892),x40892),f341(f341(f159(x40891,f888(x40891,x40891)),f341(f341(f20(x40891,x40891,f888(x40891,x40891)),f257(x40891,x40891)),f7(x40891))),x40892)) % 197.39/197.41 [4201]E(f341(f147(a881,f883(x42011),f341(f9(f883(x42011),a881,a881),f341(f341(f10(a881,f889(a881,a881),f883(x42011)),f192(a881)),f194(f883(x42011)))),f2(a881)),f341(f173(f883(x42011)),x42012)),f341(f194(f883(f883(x42011))),f182(x42011,x42012))) % 197.39/197.41 [4281]E(f341(f341(f295(f888(a881,f883(x42811)),f883(x42811)),f333(a881,f883(x42811),a247,f150(x42811,x42812))),f341(f341(f20(f883(x42811),f883(x42811),f888(a881,f883(x42811))),f341(f341(f10(a881,f889(f883(x42811),f888(a881,f883(x42811))),f883(x42811)),f257(a881,f883(x42811))),f194(f883(x42811)))),f7(f883(x42811)))),f151(x42811,x42812)) % 197.39/197.41 [4411]E(f341(f267(x44111),f341(f341(f10(f889(f889(x44111,a874),a874),a874,x44111),f98(f889(x44111,a874))),f341(f341(f10(f889(f889(x44111,a874),a874),f889(f889(x44111,a874),a874),x44111),f341(f20(f889(x44111,a874),a874,a874),f341(f341(f10(a874,f889(a874,a874),f889(x44111,a874)),a339),f341(f341(f9(f889(x44111,a874),f889(f889(x44111,a874),a874),a874),f344(f889(x44111,a874))),x44112)))),f344(x44111)))),f39(f889(x44111,a874),x44112)) % 197.39/197.41 [4412]E(f341(f267(x44121),f341(f341(f10(f889(f889(x44121,a874),a874),a874,x44121),f99(f889(x44121,a874))),f341(f341(f10(f889(f889(x44121,a874),a874),f889(f889(x44121,a874),a874),x44121),f341(f20(f889(x44121,a874),a874,a874),f341(f341(f10(a874,f889(a874,a874),f889(x44121,a874)),a345),f341(f341(f9(f889(x44121,a874),f889(f889(x44121,a874),a874),a874),f344(f889(x44121,a874))),x44122)))),f344(x44121)))),f40(f889(x44121,a874),x44122)) % 197.39/197.41 [4573]~P1(f341(f341(f242(a1),f341(f116(a1),x45731)),f341(f90(a1),f341(f116(a1),x45732)))) % 197.39/197.41 [3507]E(f341(f341(f3(a881),f341(f341(f91(a881),x35071),x35072)),x35072),x35071) % 197.39/197.41 [3508]E(f341(f341(f3(a881),f341(f341(f91(a881),x35081),x35082)),x35081),x35082) % 197.39/197.41 [3575]E(f341(f341(f91(a881),f341(f341(f3(a881),x35751),x35752)),x35752),f341(f341(f192(a881),x35751),x35752)) % 197.39/197.41 [3678]E(f341(f341(f92(a881),f341(f341(f38(a881),x36781),x36782)),x36782),f341(f341(f3(a881),x36781),f57(a881,x36781,x36782))) % 197.39/197.41 [3707]E(f341(f176(a881),f144(a881,f341(f309(a881,f341(a128,x37071)),x37072))),f313(a881,x37071,x37072)) % 197.39/197.41 [3715]E(f341(f116(a1),f223(f341(a119,f341(f85(a1),x37151)),f341(a119,f341(f85(a1),x37152)))),f341(f341(a224,x37151),x37152)) % 197.39/197.41 [3717]E(f341(f341(f125(f889(x37171,a874)),f341(f90(f889(x37171,a874)),x37172)),x37172),f249(f889(x37171,a874))) % 197.39/197.41 [3718]E(f341(f341(f126(f889(x37181,a874)),f341(f90(f889(x37181,a874)),x37182)),x37182),f193(f889(x37181,a874))) % 197.39/197.41 [3736]P1(f341(f341(f241(a881),f341(f341(f38(a881),x37361),x37362)),x37361)) % 197.39/197.41 [3737]P1(f341(f341(f241(a881),f341(f341(f3(a881),x37371),x37372)),x37371)) % 197.39/197.41 [3760]P1(f341(f341(f242(a881),x37601),f341(a128,f341(f341(f91(a881),x37602),x37601)))) % 197.39/197.41 [3761]P1(f341(f341(f242(a881),x37611),f341(a128,f341(f341(f91(a881),x37611),x37612)))) % 197.39/197.41 [3776]E(f341(f341(f92(a881),f341(a119,f341(f85(a1),x37761))),f341(a119,f341(f85(a1),x37762))),f341(a119,f341(f85(a1),f341(f341(f92(a1),x37761),x37762)))) % 197.39/197.41 [3785]P1(f341(f341(f241(a1),f2(a1)),f341(f341(f251(a1),f341(f85(a1),x37851)),x37852))) % 197.39/197.41 [3853]E(f341(f292(f883(x38531),f883(x38531),f163(x38531,x38532)),f341(f341(f318(f883(x38531)),f129(x38531)),f193(f889(f883(x38531),a874)))),f341(f341(f318(f883(x38531)),f129(x38531)),f193(f889(f883(x38531),a874)))) % 197.39/197.41 [3872]E(f341(f341(f125(f889(f888(x38721,x38721),a874)),f315(x38721,x38722)),f315(x38721,f193(f889(f888(x38721,x38721),a874)))),f315(x38721,x38722)) % 197.39/197.41 [3887]E(f341(f341(f38(a1),f341(f118(a1),f341(f341(f91(a1),x38871),x38871))),f341(f118(a1),f341(f341(f91(a1),x38872),x38872))),f341(f341(f38(a1),f341(f118(a1),x38871)),f341(f118(a1),x38872))) % 197.39/197.41 [3943]E(f341(f341(f251(a1),x39431),f341(f118(a881),f341(f341(f91(a1),x39432),x39432))),f341(f341(f97(a1,a1),f341(f341(f251(a1),x39431),f341(f118(a881),x39432))),f341(f341(f20(a1,a1,a1),f92(a1)),f7(a1)))) % 197.39/197.41 [3949]E(f341(f267(f889(x39491,a874)),f341(f341(f9(f889(x39491,a874),f889(x39491,a874),a874),f241(f889(x39491,a874))),x39492)),f341(f316(x39491),x39492)) % 197.39/197.41 [3965]E(f341(f341(f159(a1,a881),a119),f341(f341(f137(a1),f341(f341(f159(a881,a1),f116(a1)),x39651)),f341(f341(f159(a881,a1),f116(a1)),x39652))),f341(f341(f137(a881),x39651),x39652)) % 197.39/197.41 [3976]E(f341(f341(f341(f187(a881),f2(a881)),f341(f341(f10(a881,a881,a881),a128),f341(f246(a881),x39761))),x39762),f341(f341(f246(a881),f341(a128,x39761)),x39762)) % 197.39/197.41 [3990]E(f341(f341(f341(f187(a881),f341(a128,x39901)),f341(f341(f10(a881,a881,a881),a128),f341(f192(a881),x39901))),x39902),f341(f341(f192(a881),f341(a128,x39901)),x39902)) % 197.39/197.41 [3991]E(f341(f341(f317(a1,a1),f341(f341(f9(a1,a1,a1),f91(a1)),x39911)),f341(f309(a1,f2(a1)),f341(f341(f3(a1),x39912),x39911))),f341(f309(a1,x39911),x39912)) % 197.39/197.41 [4004]P51(x40041,f341(f341(f3(f889(f888(x40041,x40041),a874)),x40042),f315(x40041,f193(f889(f888(x40041,x40041),a874))))) % 197.39/197.41 [4031]E(f341(f194(f883(x40311)),f341(f147(f883(x40311),f883(x40311),f137(x40311),f129(x40311)),x40312)),f341(f170(a881),f341(f341(f159(f883(x40311),a881),f194(f883(x40311))),x40312))) % 197.39/197.41 [4034]P46(x40341,f249(f889(x40341,a874)),f341(f341(f125(f889(f888(x40341,x40341),a874)),x40342),f315(x40341,f193(f889(f888(x40341,x40341),a874))))) % 197.39/197.41 [4035]E(f341(f341(f317(a1,a881),a119),f341(f341(f125(f889(a1,a874)),f341(f341(f317(a881,a1),f116(a1)),x40351)),f341(f341(f317(a881,a1),f116(a1)),x40352))),f341(f341(f125(f889(a881,a874)),x40351),x40352)) % 197.39/197.41 [4036]E(f341(f341(f317(a1,a881),a119),f341(f341(f126(f889(a1,a874)),f341(f341(f317(a881,a1),f116(a1)),x40361)),f341(f341(f317(a881,a1),f116(a1)),x40362))),f341(f341(f126(f889(a881,a874)),x40361),x40362)) % 197.39/197.41 [4077]E(f341(f341(f317(x40771,f883(x40771)),f341(f341(f9(x40771,f883(x40771),f883(x40771)),f156(x40771)),f129(x40771))),x40772),f179(x40771,x40772,f341(f341(f318(f883(x40771)),f129(x40771)),f193(f889(f883(x40771),a874))))) % 197.39/197.41 [4080]E(f341(f341(f125(f889(f888(x40801,x40801),a874)),f341(f341(f296(x40801,x40801,x40801),x40802),f315(x40801,x40802))),f315(x40801,f193(f889(f888(x40801,x40801),a874)))),f315(x40801,x40802)) % 197.39/197.41 [4086]P1(f341(f341(f241(f889(f888(x40861,x40861),a874)),f271(x40861,x40862)),f341(f341(f259(x40861,x40861),x40862),f341(f18(f889(x40861,a874),x40861),x40862)))) % 197.39/197.41 [4091]E(f341(f267(x40911),f341(f341(f10(a874,a874,x40911),a336),f341(f341(f9(x40911,f889(x40911,a874),a874),f344(x40911)),x40912))),f341(f90(f889(x40911,a874)),x40912)) % 197.39/197.41 [4119]E(f341(f147(f883(x41191),f883(x41191),f137(x41191),f129(x41191)),f341(f341(f159(f883(x41191),f883(x41191)),f173(x41191)),f341(f173(f883(x41191)),x41192))),f341(f173(x41191),f341(f147(f883(x41191),f883(x41191),f137(x41191),f129(x41191)),x41192))) % 197.39/197.41 [4146]E(f341(f341(f42(a881,f889(f888(x41461,x41461),a874)),f249(f889(a881,a874))),f341(f341(f9(a881,f889(f888(x41461,x41461),a874),f889(f888(x41461,x41461),a874)),f186(f888(x41461,x41461),a874)),x41462)),f315(x41461,x41462)) % 197.39/197.41 [4166]E(f96(x41661,f341(f341(f10(f889(x41661,a874),a874,x41661),f341(a338,x41662)),f341(f341(f9(x41661,f889(x41661,a874),f889(x41661,a874)),f318(x41661)),f193(f889(x41661,a874))))),f321(x41661,x41662)) % 197.39/197.41 [4173]E(f341(f194(f883(x41731)),f157(x41731,f341(f147(f883(x41731),f883(x41731),f137(x41731),f129(x41731)),x41732))),f341(f37(x41731),f341(f341(f42(f883(x41731),f889(x41731,a874)),f341(f176(f883(x41731)),x41732)),f176(x41731)))) % 197.39/197.41 [4188]E(f341(f341(f125(f889(f888(x41881,x41881),a874)),x41882),f341(f341(f296(x41881,x41881,x41881),f341(f341(f296(x41881,x41881,x41881),x41882),f315(x41881,x41882))),x41882)),f341(f341(f296(x41881,x41881,x41881),x41882),f315(x41881,x41882))) % 197.39/197.41 [4210]P1(f341(f341(f241(f889(f888(x42101,x42101),a874)),f341(f341(f296(x42101,x42101,x42101),x42102),f315(x42101,x42102))),f341(f341(f259(x42101,x42101),f341(f291(x42101),x42102)),f341(f18(f889(x42101,a874),x42101),f341(f291(x42101),x42102))))) % 197.39/197.41 [4257]E(f341(f267(f883(x42571)),f341(f341(f9(f883(x42571),f889(x42571,a874),a874),f341(f341(f10(f889(x42571,a874),f889(f889(x42571,a874),a874),f883(x42571)),f241(f889(x42571,a874))),f176(x42571))),x42572)),f166(x42571,x42572)) % 197.39/197.41 [4268]E(f341(f161(f883(x42681),x42681,f129(x42681),f341(f341(f10(f883(x42681),f889(f883(x42681),f883(x42681)),x42681),f341(f9(f883(x42681),f883(x42681),f883(x42681)),f137(x42681))),f341(f341(f9(x42681,f883(x42681),f883(x42681)),f156(x42681)),f129(x42681)))),x42682),f341(f172(x42681),x42682)) % 197.39/197.41 [4308]P18(f889(x43081,x43082),f889(f888(x43081,x43082),a874),f341(f341(f10(f889(f888(x43081,x43082),a874),f889(f888(x43081,x43082),a874),f889(x43081,x43082)),f267(f888(x43081,x43082))),f341(f341(f10(f889(x43081,f889(x43082,a874)),f889(f888(x43081,x43082),a874),f889(x43081,x43082)),f262(x43081,x43082,a874)),f341(f10(x43082,f889(x43082,a874),x43081),f341(f9(x43082,x43082,a874),a338)))),f249(f889(f889(x43081,x43082),a874))) % 197.39/197.41 [4314]E(f57(a1,f341(f118(a1),f341(f341(f91(a1),x43141),x43141)),f341(f118(a1),f341(f341(f91(a1),x43142),x43142))),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f57(a1,f341(f118(a1),x43141),f341(f118(a1),x43142)))) % 197.39/197.41 [4357]E(f341(f341(f42(x43571,f889(f888(x43571,x43571),a874)),x43572),f341(f341(f9(x43571,f889(f888(x43571,x43571),a874),f889(f888(x43571,x43571),a874)),f341(f341(f10(f888(x43571,x43571),f889(f889(f888(x43571,x43571),a874),f889(f888(x43571,x43571),a874)),x43571),f318(f888(x43571,x43571))),f341(f341(f20(x43571,x43571,f888(x43571,x43571)),f257(x43571,x43571)),f7(x43571)))),f193(f889(f888(x43571,x43571),a874)))),f271(x43571,x43572)) % 197.39/197.41 [4456]E(f341(f267(f889(x44561,a874)),f341(f341(f10(f889(f889(x44561,a874),a874),a874,f889(x44561,a874)),f98(f889(x44561,a874))),f341(f341(f9(f889(x44561,a874),f889(f889(x44561,a874),a874),f889(f889(x44561,a874),a874)),f341(f341(f10(f889(f889(x44561,a874),f889(a874,a874)),f889(f889(f889(x44561,a874),a874),f889(f889(x44561,a874),a874)),f889(x44561,a874)),f20(f889(x44561,a874),a874,a874)),f341(f341(f10(f889(f889(x44561,a874),a874),f889(f889(x44561,a874),f889(a874,a874)),f889(x44561,a874)),f341(f10(a874,f889(a874,a874),f889(x44561,a874)),a339)),f341(f341(f9(f889(x44561,a874),f889(f889(x44561,a874),f889(x44561,a874)),f889(f889(x44561,a874),a874)),f341(f341(f10(f889(f889(x44561,a874),a874),f889(f889(f889(x44561,a874),f889(x44561,a874)),f889(f889(x44561,a874),a874)),f889(x44561,a874)),f10(f889(x44561,a874),a874,f889(x44561,a874))),a338)),f90(f889(x44561,a874)))))),f341(f341(f10(f889(f889(x44561,a874),a874),a874,f889(x44561,a874)),f341(f344(f889(x44561,a874)),x44562)),f316(x44561))))),f341(f316(x44561),f341(f90(f889(x44561,a874)),x44562))) % 197.39/197.41 [4571]~E(f341(f341(f91(a1),x45711),x45711),f341(f341(f3(a1),f341(f341(f91(a1),x45712),x45712)),a100)) % 197.39/197.41 [4575]~P1(f341(f341(f242(a881),f341(f341(f91(a881),x45751),x45752)),x45752)) % 197.39/197.41 [4576]~P1(f341(f341(f242(a881),f341(f341(f91(a881),x45761),x45762)),x45761)) % 197.39/197.41 [3790]E(f341(f341(f3(a881),x37901),f341(f341(f92(a881),f341(f341(f38(a881),x37901),x37902)),x37902)),f57(a881,x37901,x37902)) % 197.39/197.41 [3791]E(f341(f341(f3(a1),x37911),f341(f341(f92(a1),f341(f341(f38(a1),x37911),x37912)),x37912)),f57(a1,x37911,x37912)) % 197.39/197.41 [3825]E(f341(f341(f159(a881,x38251),f341(f169(x38251),x38252)),f144(a881,f341(f309(a881,f2(a881)),f341(f194(f883(x38251)),x38252)))),x38252) % 197.39/197.41 [3883]E(f341(f292(x38831,x38831,f315(x38831,f193(f889(f888(x38831,x38831),a874)))),x38832),x38832) % 197.39/197.41 [4007]E(f315(x40071,f341(f341(f3(f889(f888(x40071,x40071),a874)),x40072),f315(x40071,f193(f889(f888(x40071,x40071),a874))))),f315(x40071,x40072)) % 197.39/197.41 [4008]E(f315(x40081,f341(f341(f125(f889(f888(x40081,x40081),a874)),x40082),f315(x40081,f193(f889(f888(x40081,x40081),a874))))),f315(x40081,x40082)) % 197.39/197.41 [4064]E(f341(f341(f3(a1),f341(f341(f3(a1),f341(f341(f91(a1),x40641),x40641)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),x40642),x40642)),a100)),f341(f341(f91(a1),f341(f341(f3(a1),x40641),x40642)),f341(f341(f3(a1),x40641),x40642))) % 197.39/197.41 [4095]E(f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f91(a1),x40951),x40952)),f341(f341(f91(a1),x40951),x40952))),a100),f341(f341(f91(a1),f341(f341(f91(a1),x40951),x40951)),f341(f341(f3(a1),f341(f341(f91(a1),x40952),x40952)),a100))) % 197.39/197.41 [4123]E(f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),x41231),x41231)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),x41232),x41232)),a100)),f341(f341(f91(a1),f341(f341(f91(a1),x41231),f341(f341(f3(a1),x41232),a100))),f341(f341(f91(a1),x41231),f341(f341(f3(a1),x41232),a100)))) % 197.39/197.41 [4136]E(f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f91(a1),x41361),x41362)),f341(f341(f91(a1),x41361),x41362))),a100),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),x41361),x41361)),a100)),f341(f341(f91(a1),x41362),x41362))) % 197.39/197.41 [4137]E(f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),x41371),x41372)),f341(f341(f3(a1),x41371),x41372))),a100),f341(f341(f3(a1),f341(f341(f3(a1),f341(f341(f91(a1),x41371),x41371)),a100)),f341(f341(f91(a1),x41372),x41372))) % 197.39/197.41 [4177]E(f341(f341(f341(f187(a881),f2(a881)),f341(f341(f10(a881,a881,a881),a128),f341(f341(f9(a881,a881,a881),f246(a881)),x41771))),x41772),f341(f341(f246(a881),x41772),f341(a128,x41771))) % 197.39/197.41 [4178]E(f341(f341(f341(f187(a881),f341(a128,x41781)),f341(f341(f10(a881,a881,a881),a128),f341(f341(f9(a881,a881,a881),f192(a881)),x41781))),x41782),f341(f341(f192(a881),x41782),f341(a128,x41781))) % 197.39/197.41 [4184]E(f341(f116(a1),f341(f341(f38(a881),f341(f341(f92(a881),f341(a119,f341(f85(a1),x41841))),f341(a119,f341(f85(a1),x41842)))),f223(f341(a119,f341(f85(a1),x41841)),f341(a119,f341(f85(a1),x41842))))),f225(x41841,x41842)) % 197.39/197.41 [4226]E(f341(f341(f264(f888(a115,a115),a115,f888(a115,a115),f888(x42261,f888(a115,a115))),f275(f341(a5,f341(f194(f883(x42261)),x42262)))),f341(f341(f10(x42261,f889(f888(a115,a115),f888(x42261,f888(a115,a115))),a115),f257(x42261,f888(a115,a115))),f341(f341(f10(a881,x42261,a115),f341(f169(x42261),x42262)),a22))),f285(x42261,x42262)) % 197.39/197.41 [4315]E(f341(f147(a881,f883(x43151),f341(f9(f883(x43151),a881,a881),f341(f341(f10(a881,f889(a881,a881),f883(x43151)),f192(a881)),f194(f883(x43151)))),f2(a881)),f341(f173(f883(x43151)),f182(x43151,x43152))),f341(f194(f883(f883(x43151))),f341(f141(f883(x43151),f341(f341(f10(a874,a874,f883(x43151)),a336),f341(f341(f9(f883(x43151),f883(x43151),a874),a338),f129(x43151)))),x43152))) % 197.39/197.41 [4323]E(f341(f341(f42(a881,f889(x43231,a874)),f249(f889(a881,a874))),f341(f341(f9(a881,f889(a881,f889(x43231,a874)),f889(x43231,a874)),f341(f341(f10(f889(a881,a874),f889(f889(a881,f889(x43231,a874)),f889(x43231,a874)),a881),f42(a881,f889(x43231,a874))),f309(a881,f2(a881)))),x43232)),f341(f341(f42(a881,f889(x43231,a874)),f249(f889(a881,a874))),x43232)) % 197.39/197.41 [4344]P1(f341(f72(a881),f341(f267(a881),f341(f341(f20(a881,a874,a874),f341(f341(f10(a874,f889(a874,a874),a881),a339),x43441)),f341(f341(f9(a881,a881,a874),f242(a881)),x43442))))) % 197.39/197.41 [4463]E(f341(f267(f888(f883(x44631),f883(x44631))),f341(f262(f883(x44631),f883(x44631),a874),f341(f341(f20(f883(x44631),f889(f883(x44631),a874),f889(f883(x44631),a874)),f341(f341(f10(f889(f883(x44631),f889(a874,a874)),f889(f889(f883(x44631),a874),f889(f883(x44631),a874)),f883(x44631)),f20(f883(x44631),a874,a874)),f341(f341(f10(f889(f883(x44631),a874),f889(f883(x44631),f889(a874,a874)),f883(x44631)),f341(f10(a874,f889(a874,a874),f883(x44631)),a340)),f341(f341(f9(f883(x44631),f889(f883(x44631),a881),f889(f883(x44631),a874)),f341(f341(f10(f889(a881,a874),f889(f889(f883(x44631),a881),f889(f883(x44631),a874)),f883(x44631)),f10(a881,a874,f883(x44631))),f341(f341(f10(a881,f889(a881,a874),f883(x44631)),f242(a881)),f194(f883(x44631))))),f194(f883(x44631)))))),f341(f341(f20(f883(x44631),f889(f883(x44631),a874),f889(f883(x44631),a874)),f341(f341(f10(f889(f883(x44631),f889(a874,a874)),f889(f889(f883(x44631),a874),f889(f883(x44631),a874)),f883(x44631)),f20(f883(x44631),a874,a874)),f341(f341(f10(f889(f883(x44631),a874),f889(f883(x44631),f889(a874,a874)),f883(x44631)),f341(f10(a874,f889(a874,a874),f883(x44631)),a339)),f341(f341(f9(f883(x44631),f889(f883(x44631),a881),f889(f883(x44631),a874)),f341(f341(f10(f889(a881,a874),f889(f889(f883(x44631),a881),f889(f883(x44631),a874)),f883(x44631)),f10(a881,a874,f883(x44631))),f341(f341(f10(a881,f889(a881,a874),f883(x44631)),a338),f194(f883(x44631))))),f194(f883(x44631)))))),f341(f341(f9(f883(x44631),f889(f888(f883(x44631),f883(x44631)),a874),f889(f883(x44631),a874)),f341(f341(f10(f889(f883(x44631),f889(f889(f888(f883(x44631),f883(x44631)),a874),a874)),f889(f889(f888(f883(x44631),f883(x44631)),a874),f889(f883(x44631),a874)),f883(x44631)),f9(f883(x44631),f889(f888(f883(x44631),f883(x44631)),a874),a874)),f341(f341(f10(f889(f883(x44631),f888(f883(x44631),f883(x44631))),f889(f883(x44631),f889(f889(f888(f883(x44631),f883(x44631)),a874),a874)),f883(x44631)),f341(f10(f888(f883(x44631),f883(x44631)),f889(f889(f888(f883(x44631),f883(x44631)),a874),a874),f883(x44631)),f344(f888(f883(x44631),f883(x44631))))),f257(f883(x44631),f883(x44631))))),f150(x44631,x44632)))))),f151(x44631,x44632)) % 197.39/197.41 [4126]E(f341(f341(f91(a1),f341(f341(f91(a1),f341(f341(f92(a1),x41261),x41262)),f341(f341(f92(a1),x41261),x41262))),x41262),f341(f341(f92(a1),f341(f341(f3(a1),f341(f341(f91(a1),x41261),x41261)),a100)),x41262)) % 197.39/197.41 [4225]E(f341(a119,f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x42251),x42252)),f193(f889(f888(a881,a881),a874)))))),f341(f341(f3(a881),x42251),x42252)) % 197.39/197.41 [4229]E(f341(f341(f296(x42291,x42291,x42291),f341(f341(f125(f889(f888(x42291,x42291),a874)),x42292),f315(x42291,f193(f889(f888(x42291,x42291),a874))))),f315(x42291,f341(f341(f125(f889(f888(x42291,x42291),a874)),x42292),f315(x42291,f193(f889(f888(x42291,x42291),a874)))))),f315(x42291,x42292)) % 197.39/197.41 [4274]E(f280(x42741,f341(f141(f888(a115,x42741),f341(f262(a115,x42741,a874),f341(f341(f10(a874,f889(x42741,a874),a115),f18(a874,x42741)),f341(f242(a115),f2(a115))))),x42742)),f280(x42741,x42742)) % 197.39/197.41 [4275]E(f274(x42751,f341(f141(f888(a115,x42751),f341(f262(a115,x42751,a874),f341(f341(f10(a874,f889(x42751,a874),a115),f18(a874,x42751)),f341(f242(a115),f2(a115))))),x42752)),f274(x42751,x42752)) % 197.39/197.41 [4277]E(f341(f90(a1),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x42771),x42772)),f193(f889(f888(a881,a881),a874)))))),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x42772),x42771)),f193(f889(f888(a881,a881),a874)))))) % 197.39/197.41 [4336]E(f341(f341(f295(f883(a881),x43361),f150(a881,a247)),f341(f341(f9(x43361,f883(f889(x43361,a881)),f883(a881)),f341(f341(f10(f889(f889(x43361,a881),a881),f889(f883(f889(x43361,a881)),f883(a881)),x43361),f159(f889(x43361,a881),a881)),f341(f9(f889(x43361,a881),x43361,a881),f7(f889(x43361,a881))))),x43362)),f158(x43361,x43362)) % 197.39/197.41 [4354]E(f341(f341(f97(a1,a881),f341(f118(a1),f341(f341(f91(a1),x43541),a100))),f341(f341(f20(a1,a881,a881),f341(f341(f9(a1,a881,f889(a881,a881)),f341(f341(f10(a874,f889(a881,f889(a881,a881)),a1),f111(a881)),a198)),f2(a881))),f341(f341(f10(a881,a881,a1),a128),f341(f341(f10(a881,a881,a1),f341(f246(a881),x43542)),a119)))),f341(f341(f246(a881),f341(a128,x43542)),f341(f118(a881),x43541))) % 197.39/197.41 [4356]E(f341(f341(f97(a1,a881),f341(f118(a1),f341(f341(f91(a1),x43561),a100))),f341(f341(f20(a1,a881,a881),f341(f341(f9(a1,a881,f889(a881,a881)),f341(f341(f10(a874,f889(a881,f889(a881,a881)),a1),f111(a881)),a198)),f341(a128,x43562))),f341(f341(f10(a881,a881,a1),a128),f341(f341(f10(a881,a881,a1),f341(f192(a881),x43562)),a119)))),f341(f341(f192(a881),f341(a128,x43562)),f341(f118(a881),x43561))) % 197.39/197.41 [4377]E(f341(f147(f883(x43771),f883(x43771),f137(x43771),f129(x43771)),f341(f341(f159(f883(x43771),f883(x43771)),f161(f883(x43771),x43771,f129(x43771),f341(f341(f10(f883(x43771),f889(f883(x43771),f883(x43771)),x43771),f18(f883(x43771),f883(x43771))),f341(f341(f9(x43771,f883(x43771),f883(x43771)),f156(x43771)),f129(x43771))))),x43772)),f341(f341(f159(f883(x43771),x43771),f146(x43771)),f341(f141(f883(x43771),f341(f341(f10(a874,a874,f883(x43771)),a336),f341(f341(f9(f883(x43771),f883(x43771),a874),a338),f129(x43771)))),x43772))) % 197.39/197.41 [4443]E(f341(f262(a1,a1,a874),f341(f341(f9(a1,f889(a1,a874),f889(a1,a874)),f341(f341(f10(f889(a1,f889(a874,a874)),f889(f889(a1,a874),f889(a1,a874)),a1),f20(a1,a874,a874)),f341(f341(f10(f889(a1,a874),f889(a1,f889(a874,a874)),a1),f341(f10(a874,f889(a874,a874),a1),a339)),f341(f341(f10(f889(a1,a1),f889(a1,a874),a1),f341(f10(a1,a874,a1),f341(a338,x44431))),f341(f341(f10(a1,f889(a1,a1),a1),f91(a1)),f341(f92(a1),x44432)))))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f341(f10(a874,a874,a1),f341(a345,f341(f341(f242(a1),f2(a1)),x44432))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f241(a1),f2(a1)))),f341(f341(f9(a1,a1,a874),f242(a1)),x44432))))),f341(f341(f10(a874,a874,a1),f341(a345,f341(a336,f341(f341(f242(a1),f2(a1)),x44432)))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f242(a1),x44432))),f341(f341(f9(a1,a1,a874),f241(a1)),f2(a1))))))),f61(x44431,x44432)) % 197.39/197.41 [4448]E(f341(f267(x44481),f341(f341(f10(f889(a881,a874),a874,x44481),f98(a881)),f341(f341(f9(x44481,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),x44481),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),x44481),f341(f10(a874,f889(a874,a874),a881),a339)),f341(f341(f9(x44481,f889(a881,x44481),f889(a881,a874)),f341(f341(f10(f889(x44481,a874),f889(f889(a881,x44481),f889(a881,a874)),x44481),f10(x44481,a874,a881)),a338)),f341(f169(x44481),x44482))))),f341(f341(f9(a881,a881,a874),f242(a881)),f341(f194(f883(x44481)),x44482))))),f341(f176(x44481),x44482)) % 197.39/197.41 [4248]E(f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),x42481),a100)),x42482)),f341(f341(f3(a1),f341(f341(f91(a1),x42481),a100)),x42482))),a100),f341(f341(f3(a1),f341(f341(f91(a1),x42481),x42481)),f341(f341(f3(a1),f341(f341(f91(a1),x42482),x42482)),a100))) % 197.39/197.41 [4372]E(f341(f147(f883(f883(x43721)),f883(f883(x43721)),f137(f883(x43721)),f129(f883(x43721))),f341(f341(f159(f883(x43721),f883(f883(x43721))),f161(f883(f883(x43721)),x43721,f129(f883(x43721)),f341(f18(f889(f883(x43721),f883(f883(x43721))),x43721),f341(f341(f9(f883(x43721),f883(f883(x43721)),f883(f883(x43721))),f156(f883(x43721))),f129(f883(x43721)))))),x43722)),f341(f341(f159(f883(x43721),f883(x43721)),f175(x43721)),f341(f141(f883(x43721),f341(f341(f10(a874,a874,f883(x43721)),a336),f341(f341(f9(f883(x43721),f883(x43721),a874),a338),f129(x43721)))),x43722))) % 197.39/197.41 [4382]E(f341(f341(f97(a1,a881),f341(f118(a1),f341(f341(f91(a1),x43821),a100))),f341(f341(f20(a1,a881,a881),f341(f341(f9(a1,a881,f889(a881,a881)),f341(f341(f10(a874,f889(a881,f889(a881,a881)),a1),f111(a881)),a198)),f2(a881))),f341(f341(f10(a881,a881,a1),a128),f341(f341(f9(a1,a881,a881),f341(f341(f10(a881,f889(a881,a881),a1),f246(a881)),a119)),x43822)))),f341(f341(f246(a881),f341(f118(a881),x43821)),f341(a128,x43822))) % 197.39/197.41 [4383]E(f341(f341(f97(a1,a881),f341(f118(a1),f341(f341(f91(a1),x43831),a100))),f341(f341(f20(a1,a881,a881),f341(f341(f9(a1,a881,f889(a881,a881)),f341(f341(f10(a874,f889(a881,f889(a881,a881)),a1),f111(a881)),a198)),f341(a128,x43832))),f341(f341(f10(a881,a881,a1),a128),f341(f341(f9(a1,a881,a881),f341(f341(f10(a881,f889(a881,a881),a1),f192(a881)),a119)),x43832)))),f341(f341(f192(a881),f341(f118(a881),x43831)),f341(a128,x43832))) % 197.39/197.41 [4371]E(f341(f262(x43711,x43711,a874),f341(f341(f20(x43711,a874,f889(x43711,a874)),f341(f341(f10(f889(x43711,f889(a874,a874)),f889(a874,f889(x43711,a874)),x43711),f9(x43711,a874,a874)),f341(f341(f10(f889(x43711,a874),f889(x43711,f889(a874,a874)),x43711),f341(f10(a874,f889(a874,a874),x43711),a339)),a338))),x43712)),f271(x43711,x43712)) % 197.39/197.41 [4418]E(f341(f341(f38(a881),x44181),f341(f341(f91(a881),f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),a100))),x44182)),f341(f341(f38(a881),x44181),f341(a128,f341(a128,f341(a128,x44182))))) % 197.39/197.41 [4419]E(f57(a881,x44191,f341(f341(f91(a881),f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),a100))),x44192)),f57(a881,x44191,f341(a128,f341(a128,f341(a128,x44192))))) % 197.39/197.41 [4420]E(f57(a881,f341(f341(f91(a881),f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),a100))),x44201),x44202),f57(a881,f341(a128,f341(a128,f341(a128,x44201))),x44202)) % 197.39/197.41 [4432]E(f136(f341(x44321,f341(f341(f92(a115),f341(f118(a115),f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),a100))),x44322))),f341(f207(x44321),x44322)) % 197.39/197.41 [4433]E(f341(f341(f38(a881),f341(f341(f91(a881),f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),a100))),x44331)),x44332),f341(f341(f38(a881),f341(a128,f341(a128,f341(a128,x44331)))),x44332)) % 197.39/197.41 [3616]P18(x36161,f887(x36162,x36161),f323(x36161,x36162),x36163) % 197.39/197.41 [3617]P18(x36171,f887(x36171,x36172),f319(x36171,x36172),x36173) % 197.39/197.41 [4487]~E(f33(x44871,x44872),f341(a26,x44873)) % 197.39/197.41 [4488]~E(f32(x44881,x44882),f341(a26,x44883)) % 197.39/197.41 [4489]~E(f341(a26,x44891),f33(x44892,x44893)) % 197.39/197.41 [4490]~E(f341(a26,x44901),f32(x44902,x44903)) % 197.39/197.41 [4504]~E(f30(x45041,x45042,x45043),a25) % 197.39/197.41 [4505]~E(f29(x45051,x45052,x45053),a25) % 197.39/197.41 [4506]~E(f28(x45061,x45062,x45063),a25) % 197.39/197.41 [3231]E(f341(f197(x32311,x32312),x32313),f134(x32311,x32312)) % 197.39/197.41 [3249]E(f341(f206(x32491,x32492),x32493),f341(f138(x32491),x32492)) % 197.39/197.41 [3321]E(f341(f341(f159(x33211,x33212),x33213),f129(x33211)),f129(x33212)) % 197.39/197.41 [3343]E(f31(f28(x33431,x33432,x33433)),f2(a881)) % 197.39/197.41 [3360]E(f341(f341(f341(f187(x33601),x33602),x33603),f2(a881)),x33602) % 197.39/197.41 [3366]E(f341(f188(x33661,x33662,x33663),f2(a881)),x33662) % 197.39/197.41 [3367]E(f341(f194(a875),f28(x33671,x33672,x33673)),f2(a881)) % 197.39/197.41 [3369]E(f341(f341(f184(x33691,x33692),x33693),f129(x33692)),f129(f888(x33691,x33692))) % 197.39/197.41 [3396]E(f341(f41(x33961,x33962),f343(x33962,x33961,x33963)),x33963) % 197.39/197.41 [3409]E(f96(x34091,f73(x34091,x34092,x34093)),f341(f74(x34091,x34092),x34093)) % 197.39/197.41 [3413]E(f250(x34131,x34132,f250(x34132,x34131,x34133)),x34133) % 197.39/197.41 [3457]E(f145(x34571,x34572,f157(x34571,x34573)),f157(x34571,f145(x34571,x34572,x34573))) % 197.39/197.41 [3477]E(f341(f256(f883(x34771),f883(x34771)),f171(x34771,x34772,x34773)),f341(f141(x34771,x34772),x34773)) % 197.39/197.41 [3549]E(f19(x35491,x35492,x35493,f2(a115)),x35492) % 197.39/197.41 [3550]E(f21(x35501,x35502,x35503,f2(a115)),x35502) % 197.39/197.41 [3558]E(f168(x35581,x35582,x35583,f129(x35581)),f129(x35582)) % 197.39/197.41 [3564]E(f341(f341(f82(x35641,x35642,x35641),x35643),f34(x35641)),x35643) % 197.39/197.41 [3565]E(f341(f341(f169(x35651),f341(f341(f156(x35651),x35652),x35653)),f2(a881)),x35652) % 197.39/197.41 [3594]E(f70(x35941,x35942,f129(x35941),x35943),f129(f888(x35941,x35942))) % 197.39/197.41 [3615]P18(x36151,x36152,x36153,f193(f889(x36151,a874))) % 197.39/197.41 [3711]E(f273(x37111,x37112,x37113),f341(f257(f889(a115,f889(a874,f885(f882(x37111)))),f888(a115,a115)),f44(x37111))) % 197.39/197.41 [3934]P1(f341(f341(f344(f888(x39341,x39341)),f341(f341(f257(x39341,x39341),x39342),x39342)),f315(x39341,x39343))) % 197.39/197.41 [4120]P1(f341(f341(f344(f888(f889(a881,f887(x41201,a881)),f887(x41202,a881))),f341(f47(x41202,x41201),x41203)),f51(x41201,x41202))) % 197.39/197.41 [4128]P1(f341(f341(f344(f888(f889(a881,f887(x41281,a881)),f887(x41282,a881))),f343(x41282,x41281,x41283)),f51(x41281,x41282))) % 197.39/197.41 [4311]P1(f341(f341(f344(f888(f889(a881,f887(x43111,a881)),f887(x43112,a881))),f341(f341(f257(f889(a881,f887(x43111,a881)),f887(x43112,a881)),f341(f18(f887(x43111,a881),a881),f341(f323(a881,x43111),f2(a881)))),x43113)),f51(x43111,x43112))) % 197.39/197.41 [4400]P1(f341(f341(f276(x44001,x44002,x44001,x44002,x44003,x44003),f34(x44001)),f34(x44002))) % 197.39/197.41 [4581]~P1(f341(f341(f344(f888(f883(x45811),f883(x45811))),f341(f341(f257(f883(x45811),f883(x45811)),x45812),f129(x45811))),f150(x45811,x45813))) % 197.39/197.41 [4582]~P1(f341(f341(f344(f888(f883(x45821),f883(x45821))),f341(f341(f257(f883(x45821),f883(x45821)),x45822),f129(x45821))),f152(x45821,x45823))) % 197.39/197.41 [4583]~P1(f341(f341(f344(f888(f883(x45831),f883(x45831))),f341(f341(f257(f883(x45831),f883(x45831)),x45832),f129(x45831))),f162(x45831,x45833))) % 197.39/197.41 [4584]~P1(f341(f341(f344(f888(f883(x45841),f883(x45841))),f341(f341(f257(f883(x45841),f883(x45841)),f129(x45841)),x45842)),f150(x45841,x45843))) % 197.39/197.41 [4585]~P1(f341(f341(f344(f888(f883(x45851),f883(x45851))),f341(f341(f257(f883(x45851),f883(x45851)),f129(x45851)),x45852)),f162(x45851,x45853))) % 197.39/197.41 [3294]E(f341(f341(f208(x32941),x32942),x32943),f209(x32941,f222(x32942,x32943))) % 197.39/197.41 [3353]E(f341(f41(x33531,x33532),f341(f47(x33532,x33531),x33533)),x33533) % 197.39/197.41 [3354]E(f341(f293(x33541,x33542),f341(f293(x33542,x33541),x33543)),x33543) % 197.39/197.41 [3374]E(f322(x33741,x33742,f341(f319(x33741,x33742),x33743)),x33743) % 197.39/197.41 [3375]E(f325(x33751,x33752,f341(f323(x33752,x33751),x33753)),x33753) % 197.39/197.41 [3379]E(f341(f341(f184(x33791,x33792),f129(x33791)),x33793),f129(f888(x33791,x33792))) % 197.39/197.41 [3382]E(f178(x33821,x33822,f341(f268(a881),x33823)),f341(f341(f177(x33821),x33823),x33822)) % 197.39/197.41 [3399]E(f341(f194(f887(x33991,x33992)),f341(f323(x33992,x33991),x33993)),f2(a881)) % 197.39/197.41 [3400]E(f341(f194(f887(x34001,x34002)),f341(f319(x34001,x34002),x34003)),f2(a881)) % 197.39/197.41 [3406]E(f157(x34061,f341(f141(x34061,x34062),x34063)),f341(f141(x34061,x34062),f157(x34061,x34063))) % 197.39/197.41 [3407]E(f341(f270(x34071,x34072),f341(f293(x34072,x34071),x34073)),f341(f272(x34072,x34071),x34073)) % 197.39/197.41 [3408]E(f341(f272(x34081,x34082),f341(f293(x34082,x34081),x34083)),f341(f270(x34082,x34081),x34083)) % 197.39/197.41 [3421]E(f341(f341(f317(x34211,x34212),x34213),f193(f889(x34211,a874))),f193(f889(x34212,a874))) % 197.39/197.41 [3427]E(f341(f141(x34271,x34272),f341(f173(x34271),x34273)),f341(f173(x34271),f341(f141(x34271,x34272),x34273))) % 197.39/197.41 [3438]E(f341(f341(f143(x34381),x34382),f341(f175(x34381),x34383)),f341(f341(f143(x34381),f341(a128,x34382)),x34383)) % 197.39/197.41 [3453]E(f31(f29(x34531,x34532,x34533)),f341(f341(f91(a881),f31(x34533)),f341(a128,f2(a881)))) % 197.39/197.41 [3454]E(f341(f292(x34541,x34542,x34543),f193(f889(x34541,a874))),f193(f889(x34542,a874))) % 197.39/197.41 [3455]E(f341(f320(x34551,x34552,x34553),f249(f889(x34552,a874))),f249(f889(x34551,a874))) % 197.39/197.41 [3456]E(f341(f320(x34561,x34562,x34563),f193(f889(x34562,a874))),f193(f889(x34561,a874))) % 197.39/197.41 [3482]E(f341(f341(f318(x34821),x34822),f341(f176(x34821),x34823)),f341(f176(x34821),f145(x34821,x34822,x34823))) % 197.39/197.41 [3569]E(f341(f194(a875),f29(x35691,x35692,x35693)),f341(f341(f91(a881),f341(f194(a875),x35693)),f341(a128,f2(a881)))) % 197.39/197.41 [3572]E(f341(f341(f82(x35721,x35721,x35722),f34(x35721)),x35723),x35723) % 197.39/197.41 [3606]E(f341(f341(f317(f888(x36061,x36062),x36062),f261(x36061,x36062)),x36063),f341(f270(x36061,x36062),x36063)) % 197.39/197.41 [3607]E(f341(f341(f317(f888(x36071,x36072),x36071),f256(x36071,x36072)),x36073),f341(f272(x36071,x36072),x36073)) % 197.39/197.41 [3640]E(f341(f341(f257(x36401,x36402),f341(f256(x36401,x36402),x36403)),f341(f261(x36401,x36402),x36403)),x36403) % 197.39/197.41 [3651]E(f341(f341(f262(x36511,x36512,x36511),f18(x36511,x36512)),x36513),f341(f256(x36511,x36512),x36513)) % 197.39/197.41 [3724]E(f31(f30(x37241,x37242,x37243)),f341(f341(f91(a881),f341(f341(f91(a881),f31(x37242)),f31(x37243))),f341(a128,f2(a881)))) % 197.39/197.41 [3876]E(f341(f194(a875),f30(x38761,x38762,x38763)),f341(f341(f91(a881),f341(f341(f91(a881),f341(f194(a875),x38762)),f341(f194(a875),x38763))),f341(a128,f2(a881)))) % 197.39/197.41 [3944]P1(f341(f341(f241(f889(x39441,a874)),f341(f176(x39441),f341(f141(x39441,x39442),x39443))),f341(f176(x39441),x39443))) % 197.39/197.41 [3988]P1(f341(f341(f241(f889(x39881,a874)),f341(f176(x39881),f341(f341(f177(x39881),x39882),x39883))),f341(f176(x39881),x39883))) % 197.39/197.41 [3989]P1(f341(f341(f241(f889(x39891,a874)),f341(f176(x39891),f341(f341(f143(x39891),x39892),x39893))),f341(f176(x39891),x39893))) % 197.39/197.41 [3994]P1(f341(f341(f241(f889(x39941,a874)),f341(f176(x39941),f178(x39941,x39942,x39943))),f341(f176(x39941),x39942))) % 197.39/197.41 [3995]P1(f341(f341(f241(f889(x39951,a874)),f341(f176(x39951),f174(x39951,x39952,x39953))),f341(f176(x39951),x39953))) % 197.39/197.41 [4029]P18(f888(x40291,x40292),f888(x40292,x40291),f341(f262(x40291,x40292,f888(x40292,x40291)),f341(f9(x40292,x40291,f888(x40292,x40291)),f257(x40292,x40291))),x40293) % 197.39/197.41 [4042]E(f341(f341(f341(f186(f883(x40421),f883(x40421)),f57(a881,x40422,f341(f194(f883(x40421)),x40423))),f172(x40421)),x40423),f341(f341(f341(f186(f883(x40421),f883(x40421)),x40422),f172(x40421)),x40423)) % 197.39/197.41 [4078]P1(f341(f341(f344(f888(f883(x40781),f883(x40781))),f341(f341(f257(f883(x40781),f883(x40781)),x40782),x40782)),f163(x40781,f315(x40781,x40783)))) % 197.39/197.41 [4212]E(f96(f888(x42121,x42122),f341(f341(f20(f888(x42121,x42122),x42122,a874),f341(f341(f10(x42121,f889(x42122,a874),f888(x42121,x42122)),x42123),f256(x42121,x42122))),f261(x42121,x42122))),f96(f888(x42121,x42122),f341(f262(x42121,x42122,a874),x42123))) % 197.39/197.41 [4213]E(f102(f888(x42131,x42132),f341(f341(f20(f888(x42131,x42132),x42132,a874),f341(f341(f10(x42131,f889(x42132,a874),f888(x42131,x42132)),x42133),f256(x42131,x42132))),f261(x42131,x42132))),f102(f888(x42131,x42132),f341(f262(x42131,x42132,a874),x42133))) % 197.39/197.41 [4254]E(f341(f341(f295(f888(a881,x42541),x42541),f333(a881,x42541,a247,x42542)),f341(f341(f20(x42541,x42541,f888(a881,x42541)),f341(f341(f10(a881,f889(x42541,f888(a881,x42541)),x42541),f257(a881,x42541)),x42543)),f7(x42541))),f335(x42541,x42543,x42542)) % 197.39/197.41 [4319]E(f341(f263(x43191,x43191,x43192,x43192,f7(x43191),f7(x43192)),x43193),x43193) % 197.39/197.41 [4391]E(f341(f147(f883(f883(x43911)),f883(f883(x43911)),f137(f883(x43911)),f129(f883(x43911))),f341(f341(f159(f883(x43911),f883(f883(x43911))),f341(f341(f9(f883(x43911),f883(x43911),f883(f883(x43911))),f341(f341(f10(f889(x43911,f883(x43911)),f889(f883(x43911),f883(f883(x43911))),f883(x43911)),f159(x43911,f883(x43911))),f341(f9(x43911,f883(x43911),f883(x43911)),f156(x43911)))),x43912)),f67(x43911,x43913,x43912))),f67(x43911,f341(a128,x43913),x43912)) % 197.39/197.41 [4435]E(f341(f341(f262(f889(a881,f887(x44351,a881)),f887(x44352,a881),a881),f341(f341(f10(a881,f889(f887(x44352,a881),a881),f889(a881,f887(x44351,a881))),f18(a881,f887(x44352,a881))),f341(f341(f10(f889(a881,a874),a881,f889(a881,f887(x44351,a881))),f243(a881)),f341(f341(f9(f889(a881,f887(x44351,a881)),f887(x44351,a881),f889(a881,a874)),f341(f341(f10(f889(a881,f889(f887(x44351,a881),a874)),f889(f887(x44351,a881),f889(a881,a874)),f889(a881,f887(x44351,a881))),f9(a881,f887(x44351,a881),a874)),f341(f10(f887(x44351,a881),f889(f887(x44351,a881),a874),a881),a338))),f341(f323(a881,x44351),f2(a881)))))),f341(f47(x44352,x44351),x44353)),f53(x44352,x44351,x44353)) % 197.39/197.41 [4437]E(f341(f341(f97(a1,x44371),f225(f341(f220(x44371),x44372),f341(f220(x44371),x44373))),f341(f341(f20(a1,a1,x44371),f341(f341(f10(a1,f889(a1,x44371),a1),f208(x44371)),f341(f341(f20(a1,a1,a1),f341(f341(f10(a1,f889(a1,a1),a1),f91(a1)),f341(f341(f10(a1,a1,a1),f341(f92(a1),f341(f227(x44371),x44372))),f341(f341(f9(a1,a1,a1),f38(a1)),f341(f220(x44371),x44372))))),f341(f341(f10(a1,a1,a1),f341(f92(a1),f341(f227(x44371),x44373))),f341(f341(f9(a1,a1,a1),f38(a1)),f341(f220(x44371),x44373)))))),f7(a1))),f237(x44371,x44372,x44373)) % 197.39/197.41 [4499]~E(f341(f341(f156(x44991),x44992),x44993),x44993) % 197.39/197.41 [4508]~E(f341(f341(f156(x45081),x45082),x45083),f129(x45081)) % 197.39/197.41 [4529]~E(f341(f341(f318(x45291),x45292),x45293),f193(f889(x45291,a874))) % 197.39/197.41 [3359]E(f341(f341(f164(x33591,f129(x33591)),x33592),x33593),f129(x33591)) % 197.39/197.41 [3361]E(f341(f146(x33611),f341(f341(f156(x33611),x33612),x33613)),x33612) % 197.39/197.41 [3362]E(f341(f175(x33621),f341(f341(f156(x33621),x33622),x33623)),x33623) % 197.39/197.41 [3412]E(f341(f341(f143(x34121),f89(a881)),f341(f341(f156(x34121),x34122),x34123)),x34123) % 197.39/197.41 [3444]E(f130(x34441,f341(f341(f143(x34441),x34442),x34443)),f341(f341(f143(x34441),x34442),f130(x34441,x34443))) % 197.39/197.41 [3446]E(f341(f341(f164(x34461,x34462),x34463),f341(f341(f169(x34461),x34462),x34463)),x34462) % 197.39/197.41 [3467]E(f341(f341(f318(x34671),x34672),f341(f341(f318(x34671),x34672),x34673)),f341(f341(f318(x34671),x34672),x34673)) % 197.39/197.41 [3479]E(f341(f341(f318(x34791),x34792),f341(f176(x34791),x34793)),f341(f176(x34791),f341(f341(f156(x34791),x34792),x34793))) % 197.39/197.41 [3481]E(f341(f341(f143(x34811),x34812),f341(f175(x34811),x34813)),f341(f175(x34811),f341(f341(f143(x34811),x34812),x34813))) % 197.39/197.41 [3491]E(f341(f341(f177(x34911),f89(a881)),f341(f341(f156(x34911),x34912),x34913)),f341(f341(f156(x34911),x34912),f129(x34911))) % 197.39/197.41 [3533]E(f341(f74(x35331,x35332),f341(f341(f318(x35331),x35333),f193(f889(x35331,a874)))),x35333) % 197.39/197.41 [3577]E(f341(f341(f91(a881),x35771),f341(f341(f91(a881),x35772),x35773)),f341(f341(f91(a881),x35772),f341(f341(f91(a881),x35771),x35773))) % 197.39/197.41 [3578]E(f341(f341(f91(a1),x35781),f341(f341(f91(a1),x35782),x35783)),f341(f341(f91(a1),x35782),f341(f341(f91(a1),x35781),x35783))) % 197.39/197.41 [3582]E(f341(f341(f259(x35821,x35822),f193(f889(x35821,a874))),x35823),f193(f889(f888(x35821,x35822),a874))) % 197.39/197.41 [3608]E(f341(f341(f125(f889(x36081,a874)),x36082),x36083),f341(f341(f125(f889(x36081,a874)),x36083),x36082)) % 197.39/197.41 [3609]E(f341(f341(f126(f889(x36091,a874)),x36092),x36093),f341(f341(f126(f889(x36091,a874)),x36093),x36092)) % 197.39/197.41 [3611]E(f341(f341(f137(x36111),x36112),f341(f341(f156(x36111),x36113),f129(x36111))),f341(f172(x36111),f341(f341(f156(x36111),x36113),x36112))) % 197.39/197.41 [3612]E(f341(f341(f137(x36121),f341(f173(x36121),x36122)),f341(f173(x36121),x36123)),f341(f173(x36121),f341(f341(f137(x36121),x36123),x36122))) % 197.39/197.41 [3620]E(f341(f175(x36201),f341(f341(f177(x36201),f341(a128,x36202)),x36203)),f341(f341(f177(x36201),x36202),f341(f175(x36201),x36203))) % 197.39/197.41 [3627]P1(f341(f341(f344(x36271),x36272),f341(f341(f318(x36271),x36272),x36273))) % 197.39/197.41 [3631]E(f341(f341(f43(x36311,f889(x36312,a874)),f193(f889(x36311,a874))),x36313),f249(f889(x36312,a874))) % 197.39/197.41 [3633]E(f341(f292(x36331,x36331,f271(x36331,x36332)),x36333),f341(f341(f126(f889(x36331,a874)),x36332),x36333)) % 197.39/197.41 [3647]E(f341(f194(f883(x36471)),f341(f341(f156(x36471),x36472),x36473)),f341(f341(f91(a881),f341(f194(f883(x36471)),x36473)),f341(a128,f2(a881)))) % 197.39/197.41 [3653]E(f149(x36531,f341(f341(f137(x36531),x36532),f341(f341(f156(x36531),x36533),f129(x36531)))),x36533) % 197.39/197.41 [3654]E(f130(x36541,f341(f341(f137(x36541),x36542),f341(f341(f156(x36541),x36543),f129(x36541)))),x36542) % 197.39/197.41 [3659]E(f341(f341(f137(x36591),f341(f341(f177(x36591),x36592),x36593)),f341(f341(f143(x36591),x36592),x36593)),x36593) % 197.39/197.41 [3668]E(f341(f341(f3(a881),f341(f341(f91(a881),x36681),x36682)),f341(f341(f91(a881),x36683),x36682)),f341(f341(f3(a881),x36681),x36683)) % 197.39/197.41 [3669]E(f341(f341(f3(a881),f341(f341(f91(a881),x36691),x36692)),f341(f341(f91(a881),x36691),x36693)),f341(f341(f3(a881),x36692),x36693)) % 197.39/197.41 [3673]E(f341(f341(f137(x36731),f341(f173(x36731),x36732)),f341(f341(f156(x36731),x36733),f129(x36731))),f341(f173(x36731),f341(f341(f156(x36731),x36733),x36732))) % 197.39/197.41 [3675]E(f341(f341(f91(a881),f341(f194(f883(x36751)),x36752)),f341(f194(f883(x36751)),x36753)),f341(f194(f883(x36751)),f341(f341(f137(x36751),x36752),x36753))) % 197.39/197.41 [3686]E(f341(f341(f125(f889(x36861,a874)),f341(f176(x36861),x36862)),f341(f176(x36861),x36863)),f341(f176(x36861),f341(f341(f137(x36861),x36862),x36863))) % 197.39/197.41 [3687]E(f57(a881,f341(f341(f92(a881),x36871),x36872),f341(f341(f92(a881),x36871),x36873)),f341(f341(f92(a881),x36871),f57(a881,x36872,x36873))) % 197.39/197.41 [3700]E(f341(f341(f177(x37001),f341(f341(f3(a881),x37002),f89(a881))),f341(f175(x37001),x37003)),f341(f175(x37001),f341(f341(f177(x37001),x37002),x37003))) % 197.39/197.41 [3704]E(f341(f341(f126(f889(x37041,a874)),x37042),f341(f90(f889(x37041,a874)),x37043)),f341(f341(f3(f889(x37041,a874)),x37042),x37043)) % 197.39/197.41 [3705]E(f341(f341(f3(f889(x37051,a874)),x37052),f341(f90(f889(x37051,a874)),x37053)),f341(f341(f126(f889(x37051,a874)),x37052),x37053)) % 197.39/197.41 [3728]E(f341(f341(f259(x37281,x37282),x37283),f341(f18(f889(x37282,a874),x37281),f193(f889(x37282,a874)))),f193(f889(f888(x37281,x37282),a874))) % 197.39/197.41 [3731]E(f341(f341(f91(a881),f341(f341(f92(a881),x37311),x37312)),f341(f341(f92(a881),x37311),x37313)),f341(f341(f92(a881),x37311),f341(f341(f91(a881),x37312),x37313))) % 197.39/197.41 [3732]E(f341(f341(f3(a881),f341(f341(f92(a881),x37321),x37322)),f341(f341(f92(a881),x37321),x37323)),f341(f341(f92(a881),x37321),f341(f341(f3(a881),x37322),x37323))) % 197.39/197.41 [3733]E(f341(f341(f91(a1),f341(f341(f92(a1),x37331),x37332)),f341(f341(f92(a1),x37331),x37333)),f341(f341(f92(a1),x37331),f341(f341(f91(a1),x37332),x37333))) % 197.39/197.41 [3734]E(f341(f341(f3(a1),f341(f341(f92(a1),x37341),x37342)),f341(f341(f92(a1),x37341),x37343)),f341(f341(f92(a1),x37341),f341(f341(f3(a1),x37342),x37343))) % 197.39/197.41 [3735]E(f341(f341(f92(a1),f341(f341(f251(a1),x37351),x37352)),f341(f341(f251(a1),x37351),x37353)),f341(f341(f251(a1),x37351),f341(f341(f91(a881),x37352),x37353))) % 197.39/197.41 [3749]E(f341(f341(f42(x37491,f889(x37492,a874)),x37493),f341(f18(f889(x37492,a874),x37491),f193(f889(x37492,a874)))),f193(f889(x37492,a874))) % 197.39/197.41 [3751]E(f57(a881,f341(f341(f92(a881),x37511),x37512),f341(f341(f92(a881),x37513),x37512)),f341(f341(f92(a881),f57(a881,x37511,x37513)),x37512)) % 197.39/197.41 [3756]E(f57(a1,f341(f341(f92(a1),x37561),f57(a1,x37562,x37563)),x37563),f57(a1,f341(f341(f92(a1),x37561),x37562),x37563)) % 197.39/197.41 [3757]E(f57(a1,f341(f341(f3(a1),x37571),f57(a1,x37572,x37573)),x37573),f57(a1,f341(f341(f3(a1),x37571),x37572),x37573)) % 197.39/197.41 [3758]P1(f341(f341(f241(f889(x37581,a874)),x37582),f341(f341(f318(x37581),x37583),x37582))) % 197.39/197.41 [3805]E(f341(f341(f82(x38051,x38051,x38051),x38052),f341(f341(f186(x38051,x38051),x38053),x38052)),f341(f341(f186(x38051,x38051),f341(a128,x38053)),x38052)) % 197.39/197.41 [3829]E(f341(f341(f43(f889(x38291,a874),f889(x38291,a874)),x38292),f341(f125(f889(x38291,a874)),x38293)),f341(f341(f125(f889(x38291,a874)),x38293),f40(f889(x38291,a874),x38292))) % 197.39/197.41 [3830]E(f341(f341(f42(f889(x38301,a874),f889(x38301,a874)),x38302),f341(f126(f889(x38301,a874)),x38303)),f341(f341(f126(f889(x38301,a874)),x38303),f39(f889(x38301,a874),x38302))) % 197.39/197.41 [3839]E(f341(f176(x38391),f341(f341(f341(f186(f883(x38391),f883(x38391)),x38392),f172(x38391)),x38393)),f341(f176(x38391),x38393)) % 197.39/197.41 [3843]E(f341(f341(f177(x38431),f341(f194(f883(x38431)),f180(x38431,x38432,x38433))),x38433),f180(x38431,x38432,x38433)) % 197.39/197.41 [3847]E(f341(f194(f883(x38471)),f341(f341(f341(f186(f883(x38471),f883(x38471)),x38472),f172(x38471)),x38473)),f341(f194(f883(x38471)),x38473)) % 197.39/197.41 [3850]E(f341(f341(f262(x38501,x38502,x38502),f341(f18(f889(x38502,x38502),x38501),f7(x38502))),x38503),f341(f261(x38501,x38502),x38503)) % 197.39/197.41 [3857]E(f57(a1,f341(f341(f251(a1),f57(a1,x38571,x38572)),x38573),x38572),f57(a1,f341(f341(f251(a1),x38571),x38573),x38572)) % 197.39/197.41 [3858]E(f57(a1,f341(f341(f3(a1),f57(a1,x38581,x38582)),x38583),x38582),f57(a1,f341(f341(f3(a1),x38581),x38583),x38582)) % 197.39/197.41 [3861]E(f341(f341(f42(f889(f888(x38611,x38612),a874),f889(x38612,a874)),x38613),f270(x38611,x38612)),f341(f270(x38611,x38612),f39(f889(f888(x38611,x38612),a874),x38613))) % 197.39/197.41 [3862]E(f341(f341(f42(f889(f888(x38621,x38622),a874),f889(x38621,a874)),x38623),f272(x38621,x38622)),f341(f272(x38621,x38622),f39(f889(f888(x38621,x38622),a874),x38623))) % 197.39/197.41 [3901]E(f341(f341(f143(x39011),f341(f341(f3(a881),f341(f194(f883(x39011)),x39012)),x39013)),f341(f173(x39011),x39012)),f341(f173(x39011),f341(f341(f177(x39011),x39013),x39012))) % 197.39/197.41 [3902]E(f341(f341(f177(x39021),f341(f341(f3(a881),f341(f194(f883(x39021)),x39022)),x39023)),f341(f173(x39021),x39022)),f341(f173(x39021),f341(f341(f143(x39021),x39023),x39022))) % 197.39/197.41 [3903]E(f341(f341(f91(a881),f341(f170(a881),f341(f341(f159(x39031,a881),x39032),x39033))),f341(f194(f883(x39031)),x39033)),f160(x39031,x39032,x39033)) % 197.39/197.41 [3920]E(f341(f172(x39201),f341(f341(f341(f186(f883(x39201),f883(x39201)),x39202),f172(x39201)),x39203)),f341(f341(f341(f186(f883(x39201),f883(x39201)),f341(a128,x39202)),f172(x39201)),x39203)) % 197.39/197.41 [3930]E(f341(f341(f208(x39301),f341(f341(f92(a1),f341(f227(x39301),x39302)),f341(f227(x39301),x39303))),f341(f341(f92(a1),f341(f220(x39301),x39302)),f341(f220(x39301),x39303))),f232(x39301,x39302,x39303)) % 197.39/197.41 [3935]P1(f341(f341(f241(a881),f341(f194(f883(x39351)),f341(f141(x39351,x39352),x39353))),f341(f194(f883(x39351)),x39353))) % 197.39/197.41 [3971]P17(x39711,x39712,f341(f341(f318(f880(x39711)),f341(f341(f341(f103(x39711),x39713),a25),x39713)),f193(f889(f880(x39711),a874)))) % 197.39/197.41 [3982]E(f341(f341(f125(f889(f889(x39821,a874),a874)),f341(f316(x39821),x39822)),f341(f341(f317(f889(x39821,a874),f889(x39821,a874)),f341(f318(x39821),x39823)),f341(f316(x39821),x39822))),f341(f316(x39821),f341(f341(f318(x39821),x39823),x39822))) % 197.39/197.41 [3985]P1(f341(f341(f241(a881),f341(f194(f883(x39851)),f180(x39851,x39852,x39853))),f341(f194(f883(x39851)),x39853))) % 197.39/197.41 [3993]E(f341(f272(x39931,x39932),f341(f267(f888(x39931,x39932)),f341(f262(x39931,x39932,a874),x39933))),f341(f267(x39931),f341(f341(f10(f889(x39932,a874),a874,x39931),f98(x39932)),x39933))) % 197.39/197.41 [4002]E(f341(f341(f317(a881,a881),f341(f341(f9(a881,a881,a881),f91(a881)),x40021)),f310(a881,x40022,x40023)),f310(a881,f341(f341(f91(a881),x40022),x40021),f341(f341(f91(a881),x40023),x40021))) % 197.39/197.41 [4017]E(f341(f341(f317(a881,a881),f341(f341(f9(a881,a881,a881),f91(a881)),x40171)),f341(f309(a881,x40172),x40173)),f341(f309(a881,f341(f341(f91(a881),x40172),x40171)),f341(f341(f91(a881),x40173),x40171))) % 197.39/197.41 [4049]E(f341(f341(f184(x40491,x40492),f341(f341(f159(f888(x40491,x40492),x40491),f256(x40491,x40492)),x40493)),f341(f341(f159(f888(x40491,x40492),x40492),f261(x40491,x40492)),x40493)),x40493) % 197.39/197.41 [4054]E(f341(f341(f91(a881),f341(f341(f92(a881),x40541),f57(a881,f341(f341(f38(a881),x40542),x40541),x40543))),f57(a881,x40542,x40541)),f57(a881,x40542,f341(f341(f92(a881),x40541),x40543))) % 197.39/197.41 [4065]E(f341(f341(f137(x40651),x40652),f341(f147(f883(x40651),f883(x40651),f137(x40651),f129(x40651)),x40653)),f341(f147(f883(x40651),f883(x40651),f137(x40651),x40652),x40653)) % 197.39/197.41 [4081]P1(f341(f341(f344(f888(x40811,x40811)),f341(f341(f257(x40811,x40811),x40812),x40812)),f341(f341(f186(f888(x40811,x40811),a874),f2(a881)),x40813))) % 197.39/197.41 [4085]E(f341(f267(x40851),f341(f341(f10(f889(x40852,a874),a874,x40851),f98(x40852)),f341(f9(x40852,x40851,a874),x40853))),f341(f270(x40852,x40851),f341(f267(f888(x40852,x40851)),f341(f262(x40852,x40851,a874),x40853)))) % 197.39/197.41 [4099]E(f341(f341(f125(f889(x40991,a874)),f341(f341(f42(a881,f889(x40991,a874)),f310(a881,f89(a881),x40992)),x40993)),f341(x40993,f2(a881))),f341(f341(f42(a881,f889(x40991,a874)),f341(f308(a881),x40992)),x40993)) % 197.39/197.41 [4116]E(f341(f147(f883(x41161),f883(x41161),f137(x41161),f129(x41161)),f341(f341(f159(f883(x41161),f883(x41161)),f141(x41161,x41162)),x41163)),f341(f141(x41161,x41162),f341(f147(f883(x41161),f883(x41161),f137(x41161),f129(x41161)),x41163))) % 197.39/197.41 [4142]E(f341(f341(f43(x41421,f889(x41422,a874)),f249(f889(x41421,a874))),f341(f341(f10(f889(x41422,a874),f889(x41422,a874),x41421),f267(x41422)),f341(f9(x41422,x41421,a874),x41423))),f341(f267(x41422),f341(f341(f10(f889(x41421,a874),a874,x41422),f99(x41421)),x41423))) % 197.39/197.41 [4168]E(f341(f341(f91(a1),f341(f341(f91(a1),f341(f341(f92(a1),x41681),f341(f341(f38(a1),x41682),x41681))),f57(a1,x41682,x41681))),x41683),f341(f341(f91(a1),x41682),x41683)) % 197.39/197.41 [4202]E(f341(f341(f91(a1),f341(f341(f91(a1),f341(f341(f92(a1),f341(f341(f38(a1),x42021),x42022)),x42022)),f57(a1,x42021,x42022))),x42023),f341(f341(f91(a1),x42021),x42023)) % 197.39/197.41 [4227]E(f96(f888(x42271,x42272),f341(f262(x42271,x42272,a874),f341(f341(f10(f889(x42272,f888(x42271,x42272)),f889(x42272,a874),x42271),f341(f10(f888(x42271,x42272),a874,x42272),x42273)),f257(x42271,x42272)))),f96(f888(x42271,x42272),x42273)) % 197.39/197.41 [4228]E(f102(f888(x42281,x42282),f341(f262(x42281,x42282,a874),f341(f341(f10(f889(x42282,f888(x42281,x42282)),f889(x42282,a874),x42281),f341(f10(f888(x42281,x42282),a874,x42282),x42283)),f257(x42281,x42282)))),f102(f888(x42281,x42282),x42283)) % 197.39/197.41 [4261]P1(f341(f341(f241(f889(x42611,a874)),f39(f889(x42611,a874),f341(f341(f126(f889(f889(x42611,a874),a874)),x42612),x42613))),f341(f341(f126(f889(x42611,a874)),f39(f889(x42611,a874),x42612)),f39(f889(x42611,a874),x42613)))) % 197.39/197.41 [4263]E(f341(f173(x42631),f341(f341(f341(f186(f883(x42631),f883(x42631)),f341(f341(f3(a881),f341(f194(f883(x42631)),x42632)),f57(a881,x42633,f341(f194(f883(x42631)),x42632)))),f172(x42631)),x42632)),f341(f341(f341(f186(f883(x42631),f883(x42631)),x42633),f172(x42631)),f341(f173(x42631),x42632))) % 197.39/197.41 [4287]E(f341(f341(f318(f879(x42871,x42872)),f341(f41(x42872,x42871),f341(f341(f257(f889(a881,f887(x42872,a881)),f887(x42871,a881)),f341(f18(f887(x42872,a881),a881),f341(f323(a881,x42872),f2(a881)))),x42873))),f193(f889(f879(x42871,x42872),a874))),f341(f49(x42871,x42872),x42873)) % 197.39/197.41 [4301]P1(f341(f341(f241(a881),f341(f194(f883(x43011)),f341(f341(f143(x43011),f341(f194(f883(x43011)),f180(x43011,x43012,x43013))),x43013))),f341(f194(f883(x43011)),x43013))) % 197.39/197.41 [4562]~E(f341(f341(f317(x45621,f889(x45621,a874)),x45622),x45623),f341(f316(x45621),x45623)) % 197.39/197.41 [4574]~P1(f341(f73(x45741,x45742,f193(f889(x45741,a874))),x45743)) % 197.39/197.41 [4578]~E(f341(f341(f187(f887(x45781,a881)),f341(f323(a881,x45781),f341(a128,x45782))),x45783),f341(f18(f887(x45781,a881),a881),f341(f323(a881,x45781),f2(a881)))) % 197.39/197.41 [4580]~P1(f341(f341(f344(f888(x45801,x45801)),f341(f341(f257(x45801,x45801),x45802),x45803)),f158(x45801,f129(f889(x45801,a881))))) % 197.39/197.41 [3621]E(f341(f194(f883(x36211)),f341(f341(f177(x36211),x36212),x36213)),f341(f341(f246(a881),f341(f194(f883(x36211)),x36213)),x36212)) % 197.39/197.41 [3622]E(f341(f194(f883(x36221)),f341(f341(f143(x36221),x36222),x36223)),f341(f341(f3(a881),f341(f194(f883(x36221)),x36223)),x36222)) % 197.39/197.41 [3646]E(f341(f194(f883(f883(x36461))),f67(x36461,x36462,x36463)),f341(f341(f251(a881),f341(f194(f883(x36461)),x36463)),x36462)) % 197.39/197.41 [3661]E(f341(f341(f38(a881),f341(f341(f38(a881),x36611),x36612)),x36613),f341(f341(f38(a881),x36611),f341(f341(f92(a881),x36612),x36613))) % 197.39/197.41 [3662]E(f341(f341(f91(a881),f341(f341(f91(a881),x36621),x36622)),x36623),f341(f341(f91(a881),x36621),f341(f341(f91(a881),x36622),x36623))) % 197.39/197.41 [3663]E(f341(f341(f91(a1),f341(f341(f91(a1),x36631),x36632)),x36633),f341(f341(f91(a1),x36631),f341(f341(f91(a1),x36632),x36633))) % 197.39/197.41 [3664]E(f341(f341(f92(a881),f341(f341(f92(a881),x36641),x36642)),x36643),f341(f341(f92(a881),x36641),f341(f341(f92(a881),x36642),x36643))) % 197.39/197.41 [3665]E(f341(f341(f92(a1),f341(f341(f92(a1),x36651),x36652)),x36653),f341(f341(f92(a1),x36651),f341(f341(f92(a1),x36652),x36653))) % 197.39/197.41 [3666]E(f341(f341(f251(a1),f341(f341(f251(a1),x36661),x36662)),x36663),f341(f341(f251(a1),x36661),f341(f341(f92(a881),x36662),x36663))) % 197.39/197.41 [3667]E(f341(f341(f3(a881),f341(f341(f3(a881),x36671),x36672)),x36673),f341(f341(f3(a881),x36671),f341(f341(f91(a881),x36672),x36673))) % 197.39/197.41 [3684]E(f167(x36841,f341(f341(f156(f889(x36841,a874)),x36842),x36843)),f179(x36841,x36842,f167(x36841,x36843))) % 197.39/197.41 [3730]E(f341(f341(f3(a881),f341(f341(f3(a881),x37301),x37302)),x37303),f341(f341(f3(a881),f341(f341(f3(a881),x37301),x37303)),x37302)) % 197.39/197.41 [3738]E(f341(f341(f126(f889(x37381,a874)),x37382),f341(f341(f3(f889(x37381,a874)),x37383),x37382)),f193(f889(x37381,a874))) % 197.39/197.41 [3777]E(f39(f889(x37771,a874),f341(f341(f318(f889(x37771,a874)),x37772),x37773)),f341(f341(f125(f889(x37771,a874)),x37772),f39(f889(x37771,a874),x37773))) % 197.39/197.41 [3778]E(f40(f889(x37781,a874),f341(f341(f318(f889(x37781,a874)),x37782),x37783)),f341(f341(f126(f889(x37781,a874)),x37782),f40(f889(x37781,a874),x37783))) % 197.39/197.41 [3779]E(f341(f341(f91(a881),f341(f341(f92(a881),x37791),x37792)),f341(f341(f92(a881),x37793),x37792)),f341(f341(f92(a881),f341(f341(f91(a881),x37791),x37793)),x37792)) % 197.39/197.41 [3780]E(f341(f341(f3(a881),f341(f341(f92(a881),x37801),x37802)),f341(f341(f92(a881),x37803),x37802)),f341(f341(f92(a881),f341(f341(f3(a881),x37801),x37803)),x37802)) % 197.39/197.41 [3781]E(f341(f341(f91(a1),f341(f341(f92(a1),x37811),x37812)),f341(f341(f92(a1),x37813),x37812)),f341(f341(f92(a1),f341(f341(f91(a1),x37811),x37813)),x37812)) % 197.39/197.41 [3783]E(f341(f341(f3(a1),f341(f341(f92(a1),x37831),x37832)),f341(f341(f92(a1),x37833),x37832)),f341(f341(f92(a1),f341(f341(f3(a1),x37831),x37833)),x37832)) % 197.39/197.41 [3784]E(f341(f341(f246(a881),f341(f341(f3(a881),x37841),x37842)),f341(f341(f3(a881),x37843),x37842)),f341(f341(f3(a881),f341(f341(f246(a881),x37841),x37843)),x37842)) % 197.39/197.41 [3803]E(f341(f341(f126(f889(f883(x38031),a874)),f165(x38031,x38032)),f165(x38031,x38033)),f165(x38031,f341(f341(f126(f889(x38031,a874)),x38032),x38033))) % 197.39/197.41 [3806]E(f341(f341(f125(f889(x38061,a874)),x38062),f341(f341(f3(f889(x38061,a874)),x38063),x38062)),f341(f341(f125(f889(x38061,a874)),x38062),x38063)) % 197.39/197.41 [3807]E(f341(f341(f125(f889(x38071,a874)),x38072),f341(f341(f125(f889(x38071,a874)),x38072),x38073)),f341(f341(f125(f889(x38071,a874)),x38072),x38073)) % 197.39/197.41 [3808]E(f341(f341(f126(f889(x38081,a874)),x38082),f341(f341(f126(f889(x38081,a874)),x38082),x38083)),f341(f341(f126(f889(x38081,a874)),x38082),x38083)) % 197.39/197.41 [3823]E(f341(f341(f296(x38231,x38232,x38232),x38233),f315(x38232,f193(f889(f888(x38232,x38232),a874)))),x38233) % 197.39/197.41 [3826]E(f341(f341(f125(f889(x38261,a874)),f341(f341(f318(x38261),x38262),f193(f889(x38261,a874)))),x38263),f341(f341(f318(x38261),x38262),x38263)) % 197.39/197.41 [3842]E(f341(f341(f3(a881),f341(f341(f3(a881),f341(a128,x38421)),x38422)),f341(a128,x38423)),f341(f341(f3(a881),f341(f341(f3(a881),x38421),x38422)),x38423)) % 197.39/197.41 [3870]E(f341(f341(f126(f889(f889(x38701,a874),a874)),f341(f316(x38701),x38702)),f341(f316(x38701),x38703)),f341(f316(x38701),f341(f341(f126(f889(x38701,a874)),x38702),x38703))) % 197.39/197.41 [3873]E(f341(f341(f125(f889(x38731,a874)),f341(f90(f889(x38731,a874)),x38732)),x38733),f341(f90(f889(x38731,a874)),f341(f341(f3(f889(x38731,a874)),x38732),x38733))) % 197.39/197.41 [3885]E(f341(f341(f318(x38851),x38852),f341(f341(f3(f889(x38851,a874)),x38853),f341(f341(f318(x38851),x38852),f193(f889(x38851,a874))))),f341(f341(f318(x38851),x38852),x38853)) % 197.39/197.41 [3896]P1(f341(f341(f241(f889(x38961,a874)),x38962),f341(f341(f125(f889(x38961,a874)),x38963),x38962))) % 197.39/197.41 [3897]P1(f341(f341(f241(f889(x38971,a874)),x38972),f341(f341(f125(f889(x38971,a874)),x38972),x38973))) % 197.39/197.41 [3898]E(f341(f341(f126(f889(x38981,a874)),f341(f90(f889(x38981,a874)),x38982)),f341(f90(f889(x38981,a874)),x38983)),f341(f90(f889(x38981,a874)),f341(f341(f125(f889(x38981,a874)),x38982),x38983))) % 197.39/197.41 [3899]E(f341(f341(f125(f889(x38991,a874)),f341(f90(f889(x38991,a874)),x38992)),f341(f90(f889(x38991,a874)),x38993)),f341(f90(f889(x38991,a874)),f341(f341(f126(f889(x38991,a874)),x38992),x38993))) % 197.39/197.41 [3907]P1(f341(f341(f241(f889(x39071,a874)),f341(f176(x39071),x39072)),f341(f176(x39071),f341(f341(f156(x39071),x39073),x39072)))) % 197.39/197.41 [3918]E(f341(f341(f125(f889(x39181,a874)),f341(f341(f3(f889(x39181,a874)),x39182),x39183)),f341(f341(f126(f889(x39181,a874)),x39182),x39183)),x39182) % 197.39/197.41 [3951]E(f341(f261(f883(x39511),f883(x39511)),f171(x39511,x39512,x39513)),f341(f141(x39511,f341(f341(f82(a874,a874,x39511),a336),x39512)),x39513)) % 197.39/197.41 [3973]E(f341(f341(f8(x39731,a1),f341(f341(f10(a881,a1,x39731),f116(a1)),x39732)),x39733),f341(f116(a1),f341(f341(f8(x39731,a881),x39732),x39733))) % 197.39/197.41 [3974]E(f341(f341(f11(x39741,a1),f341(f341(f10(a881,a1,x39741),f116(a1)),x39742)),x39743),f341(f116(a1),f341(f341(f11(x39741,a881),x39742),x39743))) % 197.39/197.41 [4033]E(f341(f341(f137(x40331),f180(x40331,x40332,x40333)),f341(f341(f143(x40331),f341(f194(f883(x40331)),f180(x40331,x40332,x40333))),x40333)),x40333) % 197.39/197.41 [4040]E(f341(f90(f889(f888(x40401,x40402),a874)),f341(f341(f259(x40401,x40402),x40403),f341(f18(f889(x40402,a874),x40401),f249(f889(x40402,a874))))),f341(f341(f259(x40401,x40402),f341(f90(f889(x40401,a874)),x40403)),f341(f18(f889(x40402,a874),x40401),f249(f889(x40402,a874))))) % 197.39/197.41 [4041]E(f341(f90(f889(f888(x40411,x40412),a874)),f341(f341(f259(x40411,x40412),f249(f889(x40411,a874))),f341(f18(f889(x40412,a874),x40411),x40413))),f341(f341(f259(x40411,x40412),f249(f889(x40411,a874))),f341(f18(f889(x40412,a874),x40411),f341(f90(f889(x40412,a874)),x40413)))) % 197.39/197.41 [4083]E(f341(f341(f42(f889(x40831,a874),f889(x40831,a874)),x40832),f341(f341(f9(f889(x40831,a874),f889(x40831,a874),f889(x40831,a874)),f126(f889(x40831,a874))),x40833)),f341(f341(f126(f889(x40831,a874)),f39(f889(x40831,a874),x40832)),x40833)) % 197.39/197.41 [4087]E(f341(f147(f883(x40871),f883(x40871),f137(x40871),f129(x40871)),f341(f341(f156(f883(x40871)),x40872),x40873)),f341(f341(f137(x40871),x40872),f341(f147(f883(x40871),f883(x40871),f137(x40871),f129(x40871)),x40873))) % 197.39/197.41 [4106]E(f341(f341(f318(f889(x41061,a874)),f341(f292(x41061,x41061,x41062),f341(f341(f318(x41061),x41063),f193(f889(x41061,a874))))),f193(f889(f889(x41061,a874),a874))),f341(f341(f71(x41061),f341(f341(f318(x41061),x41063),f193(f889(x41061,a874)))),x41062)) % 197.39/197.41 [4117]E(f341(f341(f91(a881),f341(f341(f92(a881),x41171),f341(f341(f38(a881),x41172),x41173))),f341(f341(f38(a881),f341(f341(f92(a881),x41171),f57(a881,x41172,x41173))),x41173)),f341(f341(f38(a881),f341(f341(f92(a881),x41171),x41172)),x41173)) % 197.39/197.41 [4118]E(f341(f341(f91(a1),f341(f341(f92(a1),x41181),f341(f341(f38(a1),x41182),x41183))),f341(f341(f38(a1),f341(f341(f92(a1),x41181),f57(a1,x41182,x41183))),x41183)),f341(f341(f38(a1),f341(f341(f92(a1),x41181),x41182)),x41183)) % 197.39/197.41 [4152]E(f341(f341(f3(f889(x41521,a874)),f341(f176(x41521),x41522)),f341(f341(f318(x41521),x41523),f193(f889(x41521,a874)))),f341(f176(x41521),f341(f141(x41521,f341(f341(f10(a874,a874,x41521),a336),f341(a338,x41523))),x41522))) % 197.39/197.41 [4200]E(f341(f341(f137(x42001),f341(f147(f883(x42001),f883(x42001),f137(x42001),f129(x42001)),x42002)),f341(f147(f883(x42001),f883(x42001),f137(x42001),f129(x42001)),x42003)),f341(f147(f883(x42001),f883(x42001),f137(x42001),f129(x42001)),f341(f341(f137(f883(x42001)),x42002),x42003))) % 197.39/197.41 [4206]E(f341(f341(f91(a881),f341(f341(f91(a881),f341(f341(f38(a881),x42061),x42062)),f341(f341(f38(a881),x42063),x42062))),f341(f341(f38(a881),f341(f341(f91(a881),f57(a881,x42061,x42062)),f57(a881,x42063,x42062))),x42062)),f341(f341(f38(a881),f341(f341(f91(a881),x42061),x42063)),x42062)) % 197.39/197.41 [4207]E(f341(f341(f91(a1),f341(f341(f91(a1),f341(f341(f38(a1),x42071),x42072)),f341(f341(f38(a1),x42073),x42072))),f341(f341(f38(a1),f341(f341(f91(a1),f57(a1,x42071,x42072)),f57(a1,x42073,x42072))),x42072)),f341(f341(f38(a1),f341(f341(f91(a1),x42071),x42073)),x42072)) % 197.39/197.41 [4267]E(f341(f341(f126(f889(f883(x42671),a874)),f341(f341(f9(f883(x42671),f889(f883(x42671),a874),a874),f344(f883(x42671))),f166(x42671,x42672))),f341(f341(f9(f883(x42671),f889(f883(x42671),a874),a874),f344(f883(x42671))),f166(x42671,x42673))),f165(x42671,f341(f341(f126(f889(x42671,a874)),f341(f341(f9(x42671,f889(x42671,a874),a874),f344(x42671)),x42672)),f341(f341(f9(x42671,f889(x42671,a874),a874),f344(x42671)),x42673)))) % 197.39/197.41 [4279]E(f341(f267(x42791),f341(f341(f20(x42791,a874,a874),f341(f341(f10(a874,f889(a874,a874),x42791),a340),f341(f341(f9(x42791,x42791,a874),a338),x42792))),f341(f341(f9(x42791,f889(x42791,a874),a874),f344(x42791)),x42793))),f341(f341(f318(x42791),x42792),x42793)) % 197.39/197.41 [4299]E(f341(f341(f97(f883(f883(x42991)),f883(f883(x42991))),f66(x42991,x42992)),f341(f341(f20(f883(f883(x42991)),f883(f883(x42991)),f883(f883(x42991))),f341(f341(f10(f883(f883(x42991)),f889(f883(f883(x42991)),f883(f883(x42991))),f883(f883(x42991))),f137(f883(x42991))),f341(f159(f883(x42991),f883(x42991)),f341(f156(x42991),x42993)))),f7(f883(f883(x42991))))),f66(x42991,f341(f341(f156(x42991),x42993),x42992))) % 197.39/197.41 [4302]E(f341(f267(x43021),f341(f341(f20(x43021,a874,a874),f341(f341(f10(a874,f889(a874,a874),x43021),a340),f341(f341(f9(x43021,f889(x43021,a874),a874),f344(x43021)),x43022))),f341(f341(f9(x43021,f889(x43021,a874),a874),f344(x43021)),x43023))),f341(f341(f125(f889(x43021,a874)),x43022),x43023)) % 197.39/197.41 [4303]E(f341(f267(x43031),f341(f341(f20(x43031,a874,a874),f341(f341(f10(a874,f889(a874,a874),x43031),a339),f341(f341(f9(x43031,f889(x43031,a874),a874),f344(x43031)),x43032))),f341(f341(f9(x43031,f889(x43031,a874),a874),f344(x43031)),x43033))),f341(f341(f126(f889(x43031,a874)),x43032),x43033)) % 197.39/197.41 [4394]E(f341(f341(f42(x43941,f889(f889(x43941,a874),a874)),x43942),f341(f341(f9(x43941,f889(f889(x43941,a874),a874),f889(f889(x43941,a874),a874)),f341(f341(f10(f889(x43941,a874),f889(f889(f889(x43941,a874),a874),f889(f889(x43941,a874),a874)),x43941),f318(f889(x43941,a874))),f341(f341(f10(f889(x43941,a874),f889(x43941,a874),x43941),f292(x43941,x43941,x43943)),f341(f341(f9(x43941,f889(x43941,a874),f889(x43941,a874)),f318(x43941)),f193(f889(x43941,a874)))))),f193(f889(f889(x43941,a874),a874)))),f341(f341(f71(x43941),x43942),x43943)) % 197.39/197.41 [4399]E(f341(f267(f883(x43991)),f341(f341(f20(f883(x43991),a874,a874),f341(f341(f10(a874,f889(a874,a874),f883(x43991)),a339),f341(f341(f9(f883(x43991),a881,a874),f341(f341(f10(a881,f889(a881,a874),f883(x43991)),a338),f194(f883(x43991)))),x43992))),f341(f341(f9(f883(x43991),f889(x43991,a874),a874),f341(f341(f10(f889(x43991,a874),f889(f889(x43991,a874),a874),f883(x43991)),f241(f889(x43991,a874))),f176(x43991))),f341(f176(x43991),x43993)))),f341(f176(f883(x43991)),f67(x43991,x43992,x43993))) % 197.39/197.41 [3793]E(f57(a881,f341(f341(f91(a881),f341(f341(f92(a881),x37931),x37932)),x37933),x37932),f57(a881,x37933,x37932)) % 197.39/197.41 [3841]E(f144(a881,f341(f309(a881,f341(f341(f91(a881),x38411),x38412)),x38413)),f341(f341(f143(a881),x38412),f144(a881,f341(f309(a881,x38411),x38413)))) % 197.39/197.41 [3884]E(f341(f341(f91(a1),f341(f116(a1),x38841)),f341(f341(f91(a1),f341(f116(a1),x38842)),x38843)),f341(f341(f91(a1),f341(f116(a1),f341(f341(f91(a881),x38841),x38842))),x38843)) % 197.39/197.41 [3892]E(f341(f341(f3(f889(x38921,a874)),f341(f341(f3(f889(x38921,a874)),x38922),x38923)),x38923),f341(f341(f3(f889(x38921,a874)),x38922),x38923)) % 197.39/197.41 [3893]E(f341(f341(f125(f889(x38931,a874)),f341(f341(f3(f889(x38931,a874)),x38932),x38933)),x38933),f341(f341(f125(f889(x38931,a874)),x38932),x38933)) % 197.39/197.41 [3908]E(f341(f341(f296(x39081,x39081,x39082),f315(x39081,f193(f889(f888(x39081,x39081),a874)))),x39083),x39083) % 197.39/197.41 [3915]E(f341(f341(f125(f889(x39151,a874)),f341(f291(x39151),x39152)),f341(f291(x39151),x39153)),f341(f291(x39151),f341(f341(f125(f889(f888(x39151,x39151),a874)),x39152),x39153))) % 197.39/197.41 [3925]E(f274(x39251,f341(f341(f156(f888(a115,x39251)),f341(f341(f257(a115,x39251),f2(a115)),x39252)),x39253)),f274(x39251,x39253)) % 197.39/197.41 [3927]E(f341(f341(f125(f889(x39271,a874)),f39(f889(x39271,a874),x39272)),f39(f889(x39271,a874),x39273)),f39(f889(x39271,a874),f341(f341(f125(f889(f889(x39271,a874),a874)),x39272),x39273))) % 197.39/197.41 [3928]E(f341(f341(f126(f889(x39281,a874)),f40(f889(x39281,a874),x39282)),f40(f889(x39281,a874),x39283)),f40(f889(x39281,a874),f341(f341(f125(f889(f889(x39281,a874),a874)),x39282),x39283))) % 197.39/197.41 [3967]E(f341(f341(f296(x39671,x39671,x39671),f341(f341(f186(f888(x39671,x39671),a874),x39672),x39673)),x39673),f341(f341(f186(f888(x39671,x39671),a874),f341(a128,x39672)),x39673)) % 197.39/197.41 [4026]P1(f341(f341(f241(f889(x40261,a874)),f341(f341(f3(f889(x40261,a874)),x40262),x40263)),x40262)) % 197.39/197.41 [4027]P1(f341(f341(f241(f889(x40271,a874)),f341(f341(f126(f889(x40271,a874)),x40272),x40273)),x40273)) % 197.39/197.41 [4028]P1(f341(f341(f241(f889(x40281,a874)),f341(f341(f126(f889(x40281,a874)),x40282),x40283)),x40282)) % 197.39/197.41 [4051]E(f315(x40511,f341(f341(f125(f889(f888(x40511,x40511),a874)),f315(x40511,x40512)),f315(x40511,x40513))),f315(x40511,f341(f341(f125(f889(f888(x40511,x40511),a874)),x40512),x40513))) % 197.39/197.41 [4055]E(f39(f889(x40551,a874),f341(f341(f318(f889(x40551,a874)),x40552),f341(f341(f318(f889(x40551,a874)),x40553),f193(f889(f889(x40551,a874),a874))))),f341(f341(f125(f889(x40551,a874)),x40552),x40553)) % 197.39/197.41 [4056]E(f40(f889(x40561,a874),f341(f341(f318(f889(x40561,a874)),x40562),f341(f341(f318(f889(x40561,a874)),x40563),f193(f889(f889(x40561,a874),a874))))),f341(f341(f126(f889(x40561,a874)),x40562),x40563)) % 197.39/197.41 [4060]E(f341(f341(f296(x40601,x40601,x40601),f341(f341(f186(f888(x40601,x40601),a874),x40602),x40603)),x40603),f341(f341(f296(x40601,x40601,x40601),x40603),f341(f341(f186(f888(x40601,x40601),a874),x40602),x40603))) % 197.39/197.41 [4122]E(f341(f341(f125(f889(x41221,a874)),f341(f267(x41221),f341(f341(f9(x41221,x41221,a874),a338),x41222))),x41223),f341(f341(f318(x41221),x41222),x41223)) % 197.39/197.41 [4124]E(f341(a119,f341(f341(f8(x41241,a1),f341(f341(f10(a881,a1,x41241),f116(a1)),x41242)),x41243)),f341(f341(f8(x41241,a881),x41242),x41243)) % 197.39/197.41 [4125]E(f341(a119,f341(f341(f11(x41251,a1),f341(f341(f10(a881,a1,x41251),f116(a1)),x41252)),x41253)),f341(f341(f11(x41251,a881),x41252),x41253)) % 197.39/197.41 [4131]E(f341(f341(f257(f883(x41311),f883(x41311)),f341(f141(x41311,x41312),x41313)),f341(f141(x41311,f341(f341(f82(a874,a874,x41311),a336),x41312)),x41313)),f171(x41311,x41312,x41313)) % 197.39/197.41 [4198]E(f341(f161(f883(x41981),x41981,f341(f175(x41981),x41982),f341(f18(f889(f883(x41981),f883(x41981)),x41981),f341(f341(f9(f883(x41981),f883(x41981),f883(x41981)),f137(x41981)),x41982))),x41983),f341(f175(x41981),f341(f341(f137(x41981),x41983),x41982))) % 197.39/197.41 [4223]P1(f341(f341(f241(f889(f889(x42231,a874),a874)),f341(f341(f125(f889(f889(x42231,a874),a874)),f341(f316(x42231),x42232)),f341(f316(x42231),x42233))),f341(f316(x42231),f341(f341(f125(f889(x42231,a874)),x42232),x42233)))) % 197.39/197.41 [4324]E(f341(f267(x43241),f341(f341(f20(x43241,a874,a874),f341(f341(f10(a874,f889(a874,a874),x43241),a339),f341(f341(f9(x43241,f889(x43241,a874),a874),f344(x43241)),x43242))),f341(f341(f10(a874,a874,x43241),a336),f341(f341(f9(x43241,f889(x43241,a874),a874),f344(x43241)),x43243)))),f341(f341(f3(f889(x43241,a874)),x43242),x43243)) % 197.39/197.41 [4345]E(f341(f37(a881),f341(f267(a881),f341(f341(f20(a881,a874,a874),f341(f341(f10(a874,f889(a874,a874),a881),a339),f341(f341(f9(a881,a881,a874),f242(a881)),f341(f194(f883(x43451)),x43452)))),f341(f341(f10(x43451,a874,a881),x43453),f341(f169(x43451),x43452))))),f341(f194(f883(x43451)),f341(f141(x43451,x43453),x43452))) % 197.39/197.41 [4347]E(f341(f194(f883(x43471)),f178(x43471,x43472,x43473)),f341(f37(a881),f341(f267(a881),f341(f341(f20(a881,a874,a874),f341(f341(f10(a874,f889(a874,a874),a881),a339),f341(f341(f9(a881,a881,a874),f242(a881)),f341(f194(f883(x43471)),x43472)))),f341(f341(f9(a881,f889(a881,a874),a874),f344(a881)),x43473))))) % 197.39/197.41 [4452]E(f341(f341(f126(f889(f888(f883(x44521),f883(x44521)),a874)),f341(f341(f317(f888(f888(x44521,f883(x44521)),f888(x44521,f883(x44521))),f888(f883(x44521),f883(x44521))),f263(f888(x44521,f883(x44521)),f883(x44521),f888(x44521,f883(x44521)),f883(x44521),f341(f262(x44521,f883(x44521),f883(x44521)),f156(x44521)),f341(f262(x44521,f883(x44521),f883(x44521)),f156(x44521)))),f333(x44521,f883(x44521),x44522,f341(f148(x44521,x44522),x44523)))),f341(f267(f888(f883(x44521),f883(x44521))),f341(f262(f883(x44521),f883(x44521),a874),f341(f341(f9(f883(x44521),f889(f883(x44521),a874),f889(f883(x44521),a874)),f341(f341(f10(f889(a874,a874),f889(f889(f883(x44521),a874),f889(f883(x44521),a874)),f883(x44521)),f10(a874,a874,f883(x44521))),f341(f341(f10(a874,f889(a874,a874),f883(x44521)),a339),f341(f341(f9(f883(x44521),a881,a874),f341(f341(f10(a881,f889(a881,a874),f883(x44521)),a338),f194(f883(x44521)))),f341(a128,x44523))))),f341(f341(f9(f883(x44521),a881,a874),f341(f341(f10(a881,f889(a881,a874),f883(x44521)),a338),f194(f883(x44521)))),f341(a128,x44523)))))),f341(f148(x44521,x44522),f341(a128,x44523))) % 197.39/197.41 [3929]E(f57(a881,f341(a128,f341(f341(f91(a881),f341(f341(f92(a881),x39291),x39292)),x39293)),x39292),f57(a881,f341(a128,x39293),x39292)) % 197.39/197.41 [4185]E(f341(f267(x41851),f341(f341(f20(x41851,a874,a874),f341(f341(f10(a874,f889(a874,a874),x41851),a339),x41852)),x41853)),f341(f341(f126(f889(x41851,a874)),f341(f267(x41851),x41852)),f341(f267(x41851),x41853))) % 197.39/197.41 [4186]E(f341(f267(x41861),f341(f341(f20(x41861,a874,a874),f341(f341(f10(a874,f889(a874,a874),x41861),a340),x41862)),x41863)),f341(f341(f125(f889(x41861,a874)),f341(f267(x41861),x41862)),f341(f267(x41861),x41863))) % 197.39/197.41 [4189]E(f341(f341(f137(x41891),f341(f341(f143(x41891),f57(a881,x41892,f341(f194(f883(x41891)),x41893))),x41893)),f341(f341(f177(x41891),f57(a881,x41892,f341(f194(f883(x41891)),x41893))),x41893)),f341(f341(f341(f186(f883(x41891),f883(x41891)),x41892),f172(x41891)),x41893)) % 197.39/197.41 [4196]E(f341(f267(x41961),f341(f341(f20(x41961,a874,a874),f341(f341(f10(a874,f889(a874,a874),x41961),a345),x41962)),x41963)),f341(f341(f125(f889(x41961,a874)),f341(f90(f889(x41961,a874)),f341(f267(x41961),x41962))),f341(f267(x41961),x41963))) % 197.39/197.41 [4208]E(f53(x42081,x42082,f341(f41(x42082,x42081),f341(f341(f257(f889(a881,f887(x42082,a881)),f887(x42081,a881)),f341(f18(f887(x42082,a881),a881),f341(f323(a881,x42082),f2(a881)))),x42083))),f2(a881)) % 197.39/197.41 [4209]E(f341(f341(f91(a881),f341(f194(f883(x42091)),f341(f141(x42091,x42092),x42093))),f341(f194(f883(x42091)),f341(f141(x42091,f341(f341(f10(a874,a874,x42091),a336),x42092)),x42093))),f341(f194(f883(x42091)),x42093)) % 197.39/197.41 [4230]P1(f341(f341(f241(f889(x42301,a874)),f341(f341(f125(f889(x42301,a874)),f40(f889(x42301,a874),x42302)),f40(f889(x42301,a874),x42303))),f40(f889(x42301,a874),f341(f341(f126(f889(f889(x42301,a874),a874)),x42302),x42303)))) % 197.39/197.41 [4252]E(f341(f176(x42521),f341(f141(x42521,f341(f341(f10(a874,a874,x42521),a336),f341(f341(f9(x42521,x42521,a874),a338),x42522))),x42523)),f341(f341(f3(f889(x42521,a874)),f341(f176(x42521),x42523)),f341(f341(f318(x42521),x42522),f193(f889(x42521,a874))))) % 197.39/197.41 [4259]P1(f341(f341(f241(f889(f888(x42591,x42591),a874)),f341(f341(f125(f889(f888(x42591,x42591),a874)),f315(x42591,x42592)),f315(x42591,x42593))),f315(x42591,f341(f341(f125(f889(f888(x42591,x42591),a874)),x42592),x42593)))) % 197.39/197.41 [4283]E(f341(f341(f92(a881),f341(a128,f341(a128,f2(a881)))),f341(f341(f8(a881,a881),f341(f341(f10(a881,a881,a881),f341(f91(a881),x42831)),f341(f341(f9(a881,a881,a881),f92(a881)),x42832))),f341(f268(a881),x42833))),f341(f341(f92(a881),x42833),f341(f341(f91(a881),x42831),f341(f341(f91(a881),x42831),f341(f341(f92(a881),f341(f341(f3(a881),x42833),f89(a881))),x42832))))) % 197.39/197.41 [4294]E(f341(f267(x42941),f341(f341(f20(x42941,a874,a874),f341(f341(f10(a874,f889(a874,a874),x42941),a339),f341(f341(f9(x42941,f889(x42941,a874),a874),f344(x42941)),f341(f176(x42941),x42942)))),x42943)),f341(f176(x42941),f341(f141(x42941,x42943),x42942))) % 197.39/197.41 [4450]E(f341(f267(x44501),f341(f341(f10(f889(a881,a874),a874,x44501),f98(a881)),f341(f341(f9(x44501,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),x44501),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),x44501),f341(f10(a874,f889(a874,a874),a881),a339)),f341(f341(f9(x44501,f889(a881,x44501),f889(a881,a874)),f341(f341(f10(f889(x44501,a874),f889(f889(a881,x44501),f889(a881,a874)),x44501),f10(x44501,a874,a881)),a338)),f341(f169(x44501),x44502))))),f341(f341(f20(a881,a874,a874),f341(f341(f10(a874,f889(a874,a874),a881),a339),f341(f341(f9(a881,a881,a874),f242(a881)),f341(f194(f883(x44501)),x44502)))),f341(f341(f9(a881,f889(a881,a874),a874),f344(a881)),x44503))))),f341(f176(x44501),f178(x44501,x44502,x44503))) % 197.39/197.41 [4337]E(f341(f267(x43371),f341(f341(f20(x43371,a874,a874),f341(f341(f10(a874,f889(a874,a874),x43371),a345),f341(f341(f10(a874,a874,x43371),a336),f341(f341(f9(x43371,x43371,a874),a338),x43372)))),x43373)),f341(f341(f318(x43371),x43372),f341(f267(x43371),x43373))) % 197.39/197.41 [4366]E(f341(f341(f159(f888(x43661,a881),x43661),f256(x43661,a881)),f341(f141(f888(x43661,a881),f341(f341(f9(f888(x43661,a881),f889(a881,a874),a874),f341(f341(f10(a881,f889(f889(a881,a874),a874),f888(x43661,a881)),f344(a881)),f261(x43661,a881))),x43662)),f341(f341(f184(x43661,a881),x43663),f144(a881,f341(f309(a881,f2(a881)),f341(f194(f883(x43661)),x43663)))))),f178(x43661,x43663,x43662)) % 197.39/197.41 [4395]E(f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(f341(f8(a881,a1),f341(f341(f10(a1,a1,a881),f341(f91(a1),x43951)),f341(f341(f9(a881,a1,a1),f341(f341(f10(a1,f889(a1,a1),a881),f92(a1)),f116(a1))),x43952))),f341(f268(a881),x43953))),f341(f341(f92(a1),f341(f116(a1),x43953)),f341(f341(f91(a1),x43951),f341(f341(f91(a1),x43951),f341(f341(f92(a1),f341(f116(a1),f341(f341(f3(a881),x43953),f89(a881)))),x43952))))) % 197.39/197.41 [4441]E(f341(f267(f888(x44411,x44412)),f341(f262(x44411,x44412,a874),f341(f341(f9(x44411,f889(f888(x44412,x44411),a874),f889(x44412,a874)),f341(f341(f10(f889(x44412,f889(f889(f888(x44412,x44411),a874),a874)),f889(f889(f888(x44412,x44411),a874),f889(x44412,a874)),x44411),f9(x44412,f889(f888(x44412,x44411),a874),a874)),f341(f341(f10(f889(x44412,f888(x44412,x44411)),f889(x44412,f889(f889(f888(x44412,x44411),a874),a874)),x44411),f341(f10(f888(x44412,x44411),f889(f889(f888(x44412,x44411),a874),a874),x44412),f344(f888(x44412,x44411)))),f341(f9(x44412,x44411,f888(x44412,x44411)),f257(x44412,x44411))))),x44413))),f341(f293(x44412,x44411),x44413)) % 197.39/197.41 [4451]E(f39(f889(f879(x44511,x44512),a874),f341(f267(f889(f879(x44511,x44512),a874)),f341(f341(f10(f889(x44512,a874),a874,f889(f879(x44511,x44512),a874)),f98(x44512)),f341(f341(f9(f889(f879(x44511,x44512),a874),f889(x44512,f889(f879(x44511,x44512),a874)),f889(x44512,a874)),f341(f341(f10(f889(f889(f879(x44511,x44512),a874),a874),f889(f889(x44512,f889(f879(x44511,x44512),a874)),f889(x44512,a874)),f889(f879(x44511,x44512),a874)),f10(f889(f879(x44511,x44512),a874),a874,x44512)),a338)),f341(f341(f20(x44512,f889(f879(x44511,x44512),a874),f889(f879(x44511,x44512),a874)),f341(f341(f10(f889(f879(x44511,x44512),f879(x44511,x44512)),f889(f889(f879(x44511,x44512),a874),f889(f879(x44511,x44512),a874)),x44512),f317(f879(x44511,x44512),f879(x44511,x44512))),f341(f341(f10(f887(x44512,a881),f889(f879(x44511,x44512),f879(x44511,x44512)),x44512),f50(x44512,x44511)),f319(x44512,a881)))),x44513))))),f52(x44512,x44511,x44513)) % 197.39/197.41 [4465]E(f341(f267(f883(x44651)),f341(f341(f10(f889(x44651,a874),a874,f883(x44651)),f98(x44651)),f341(f341(f10(f889(x44651,f889(f883(x44651),a874)),f889(x44651,a874),f883(x44651)),f341(f10(f889(f883(x44651),a874),a874,x44651),f98(f883(x44651)))),f341(f341(f9(f883(x44651),f889(x44651,f889(f883(x44651),a874)),f889(x44651,f889(f883(x44651),a874))),f341(f341(f10(f889(x44651,f889(f889(f883(x44651),a874),f889(f883(x44651),a874))),f889(f889(x44651,f889(f883(x44651),a874)),f889(x44651,f889(f883(x44651),a874))),f883(x44651)),f20(x44651,f889(f883(x44651),a874),f889(f883(x44651),a874))),f341(f341(f10(f889(x44651,f889(f883(x44651),f889(a874,a874))),f889(x44651,f889(f889(f883(x44651),a874),f889(f883(x44651),a874))),f883(x44651)),f341(f10(f889(f883(x44651),f889(a874,a874)),f889(f889(f883(x44651),a874),f889(f883(x44651),a874)),x44651),f20(f883(x44651),a874,a874))),f341(f341(f10(f889(x44651,f889(f883(x44651),a874)),f889(x44651,f889(f883(x44651),f889(a874,a874))),f883(x44651)),f341(f10(f889(f883(x44651),a874),f889(f883(x44651),f889(a874,a874)),x44651),f341(f10(a874,f889(a874,a874),f883(x44651)),a339))),f341(f341(f9(f883(x44651),f889(x44651,f889(f883(x44651),f883(x44651))),f889(x44651,f889(f883(x44651),a874))),f341(f341(f10(f889(f889(f883(x44651),f883(x44651)),f889(f883(x44651),a874)),f889(f889(x44651,f889(f883(x44651),f883(x44651))),f889(x44651,f889(f883(x44651),a874))),f883(x44651)),f10(f889(f883(x44651),f883(x44651)),f889(f883(x44651),a874),x44651)),f341(f341(f10(f889(f883(x44651),a874),f889(f889(f883(x44651),f883(x44651)),f889(f883(x44651),a874)),f883(x44651)),f10(f883(x44651),a874,f883(x44651))),a338))),f156(x44651)))))),f341(f341(f9(x44651,f889(f883(x44651),a874),f889(f883(x44651),a874)),f341(f341(f10(f889(a874,a874),f889(f889(f883(x44651),a874),f889(f883(x44651),a874)),x44651),f10(a874,a874,f883(x44651))),f341(f341(f10(a874,f889(a874,a874),x44651),a339),f341(f341(f9(x44651,f889(x44651,a874),a874),f344(x44651)),x44652)))),f341(f341(f9(f883(x44651),f889(f883(x44651),a874),a874),f344(f883(x44651))),x44653)))))),f179(x44651,x44652,x44653)) % 197.39/197.41 [4462]E(f341(f341(f97(a1,f888(a1,a1)),f341(f341(f3(a1),x44621),x44622)),f341(f341(f9(a1,f888(a1,a1),f888(a1,a1)),f341(f341(f20(a1,f888(a1,a1),f889(f888(a1,a1),f888(a1,a1))),f341(f341(f10(a874,f889(f888(a1,a1),f889(f888(a1,a1),f888(a1,a1))),a1),f111(f888(a1,a1))),f341(f241(a1),f2(a1)))),f341(f257(a1,a1),f341(f341(f91(a1),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x44623)),f89(a1))))),f341(f341(f257(a1,a1),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x44623)),x44621))),f341(f56(x44622),f341(f341(f257(a1,a1),x44623),x44621))) % 197.39/197.41 [4492]~E(f32(x44921,x44922),f33(x44923,x44924)) % 197.39/197.41 [4510]~E(f341(a26,x45101),f30(x45102,x45103,x45104)) % 197.39/197.41 [4511]~E(f341(a26,x45111),f29(x45112,x45113,x45114)) % 197.39/197.41 [4512]~E(f341(a26,x45121),f28(x45122,x45123,x45124)) % 197.39/197.41 [4513]~E(f30(x45131,x45132,x45133),f341(a26,x45134)) % 197.39/197.41 [4514]~E(f29(x45141,x45142,x45143),f341(a26,x45144)) % 197.39/197.41 [4515]~E(f28(x45151,x45152,x45153),f341(a26,x45154)) % 197.39/197.41 [3402]E(f341(f341(f341(f187(x34021),x34022),x34023),f341(a128,x34024)),f341(x34023,x34024)) % 197.39/197.41 [3559]E(f341(f341(f252(x35591,x35592,x35593),x35594),f2(a881)),x35592) % 197.39/197.41 [3638]E(f174(x36381,x36382,f174(x36381,x36383,x36384)),f174(x36381,x36383,f174(x36381,x36382,x36384))) % 197.39/197.41 [3768]E(f341(f161(x37681,x37682,x37683,x37684),f129(x37682)),x37683) % 197.39/197.41 [3769]E(f341(f147(x37691,x37692,x37693,x37694),f129(x37692)),x37694) % 197.39/197.41 [3800]E(f341(f194(f886(x38001,x38002)),f229(x38001,x38002,x38003,x38004)),f2(a881)) % 197.39/197.41 [3828]E(f341(f262(x38281,x38282,x38283),f260(x38281,x38282,x38283,x38284)),x38284) % 197.39/197.41 [3950]E(f341(f341(f264(x39501,x39502,x39503,f888(x39502,x39503)),x39504),f257(x39502,x39503)),x39504) % 197.39/197.41 [3966]E(f84(x39661,x39662,x39663,x39664,f341(x39663,x39664)),x39663) % 197.39/197.41 [4241]P38(x42411,x42412,x42413,x42414,f193(f889(x42411,a874)),x42414) % 197.39/197.41 [4243]P19(x42431,x42432,x42433,x42434,f193(f889(x42431,a874)),x42434) % 197.39/197.41 [4445]P1(f341(f341(f276(x44451,x44452,f889(f889(x44451,a874),a874),f889(f889(x44452,a874),a874),x44453,f276(f889(x44451,a874),f889(x44452,a874),a874,a874,f276(x44451,x44452,a874,a874,x44453,x44454),x44454)),f344(x44451)),f344(x44452))) % 197.39/197.41 [4533]~E(f341(f319(x45331,x45332),x45333),f341(f323(x45332,x45331),x45334)) % 197.39/197.41 [3300]E(f341(f341(f18(x33001,x33002),x33003),x33004),x33003) % 197.39/197.41 [3588]E(f174(x35881,x35882,f341(f141(x35881,x35883),x35884)),f341(f141(x35881,x35883),f174(x35881,x35882,x35884))) % 197.39/197.41 [3645]E(f341(f341(f169(x36451),f341(f341(f156(x36451),x36452),x36453)),f341(a128,x36454)),f341(f341(f169(x36451),x36453),x36454)) % 197.39/197.41 [3685]P27(x36851,f2(a881),f341(f341(f341(f103(x36851),x36852),f341(a26,x36853)),x36854)) % 197.39/197.41 [3709]E(f341(f341(x37091,x37092),f341(f188(x37093,x37094,x37091),x37092)),f341(f188(x37093,x37094,x37091),f341(a128,x37092))) % 197.39/197.41 [3752]E(f260(x37521,x37522,x37523,f341(f262(x37521,x37522,x37523),x37524)),x37524) % 197.39/197.41 [3771]E(f341(f341(f42(f889(x37711,a874),f889(x37712,a874)),x37713),f341(f317(x37711,x37712),x37714)),f341(f341(f317(x37711,x37712),x37714),f39(f889(x37711,a874),x37713))) % 197.39/197.41 [3799]E(f341(f341(f164(x37991,f341(f341(f156(x37991),x37992),x37993)),f2(a881)),x37994),f341(f341(f156(x37991),x37994),x37993)) % 197.39/197.41 [3810]E(f341(f341(f42(f889(x38101,a874),f889(x38102,a874)),x38103),f320(x38102,x38101,x38104)),f341(f320(x38102,x38101,x38104),f39(f889(x38101,a874),x38103))) % 197.39/197.41 [3924]E(f341(f147(x39241,x39242,f341(f9(x39242,x39241,x39241),x39243),x39244),f341(f173(x39242),f129(x39242))),x39244) % 197.39/197.41 [3972]E(f86(x39721,x39722,x39723,x39724,f193(f889(x39721,a874))),x39723) % 197.39/197.41 [4161]E(f327(x41611,x41612,x41613,f341(f341(f10(f887(x41611,x41613),x41612,x41611),x41614),f319(x41611,x41613)),f341(f341(f10(f887(x41611,x41613),x41612,x41613),x41614),f323(x41613,x41611))),x41614) % 197.39/197.41 [4171]E(f341(f262(x41711,x41712,x41713),f341(f341(f10(f889(x41712,f888(x41711,x41712)),f889(x41712,x41713),x41711),f341(f10(f888(x41711,x41712),x41713,x41712),x41714)),f257(x41711,x41712))),x41714) % 197.39/197.41 [3498]E(f341(f261(x34981,x34982),f341(f341(f257(x34981,x34982),x34983),x34984)),x34984) % 197.39/197.41 [3499]E(f341(f256(x34991,x34992),f341(f341(f257(x34991,x34992),x34993),x34994)),x34993) % 197.39/197.41 [3531]E(f341(f194(f883(x35311)),f341(f341(f159(x35312,x35311),x35313),x35314)),f341(f194(f883(x35312)),x35314)) % 197.39/197.41 [3532]E(f341(f194(f883(x35321)),f341(f341(f164(x35321,x35322),x35323),x35324)),f341(f194(f883(x35321)),x35322)) % 197.39/197.41 [3553]E(f341(f341(f143(x35531),f341(a128,x35532)),f341(f341(f156(x35531),x35533),x35534)),f341(f341(f143(x35531),x35532),x35534)) % 197.39/197.41 [3625]E(f341(f341(f318(x36251),x36252),f341(f341(f318(x36251),x36253),x36254)),f341(f341(f318(x36251),x36253),f341(f341(f318(x36251),x36252),x36254))) % 197.39/197.41 [3628]E(f341(f341(f159(x36281,x36282),x36283),f130(x36281,x36284)),f130(x36282,f341(f341(f159(x36281,x36282),x36283),x36284))) % 197.39/197.41 [3642]E(f341(f176(x36421),f341(f341(f159(x36422,x36421),x36423),x36424)),f341(f341(f317(x36422,x36421),x36423),f341(f176(x36422),x36424))) % 197.39/197.41 [3643]E(f341(f173(x36431),f341(f341(f159(x36432,x36431),x36433),x36434)),f341(f341(f159(x36432,x36431),x36433),f341(f173(x36432),x36434))) % 197.39/197.41 [3644]E(f341(f341(f159(x36441,x36442),x36443),f341(f175(x36441),x36444)),f341(f175(x36442),f341(f341(f159(x36441,x36442),x36443),x36444))) % 197.39/197.41 [3656]E(f341(f341(f177(x36561),f341(a128,x36562)),f341(f341(f156(x36561),x36563),x36564)),f341(f341(f156(x36561),x36563),f341(f341(f177(x36561),x36562),x36564))) % 197.39/197.41 [3708]E(f19(x37081,x37082,x37083,f341(a5,f341(a128,f341(a22,x37084)))),f341(x37083,x37084)) % 197.39/197.41 [3712]E(f341(f341(f137(x37121),f341(f141(x37121,x37122),x37123)),f341(f141(x37121,x37122),x37124)),f341(f141(x37121,x37122),f341(f341(f137(x37121),x37123),x37124))) % 197.39/197.41 [3725]E(f157(x37251,f341(f341(f159(x37252,x37251),x37253),f157(x37252,x37254))),f157(x37251,f341(f341(f159(x37252,x37251),x37253),x37254))) % 197.39/197.41 [3741]E(f341(f293(x37411,x37411),f341(f341(f295(x37412,x37411),x37413),x37414)),f341(f341(f295(x37412,x37411),f341(f293(x37412,x37412),x37413)),x37414)) % 197.39/197.41 [3753]E(f341(f341(f296(x37531,x37532,x37533),x37534),f193(f889(f888(x37532,x37533),a874))),f193(f889(f888(x37531,x37533),a874))) % 197.39/197.41 [3754]E(f341(f341(f177(x37541),f341(f341(f3(a881),x37542),x37543)),f341(f341(f143(x37541),x37543),x37544)),f341(f341(f143(x37541),x37543),f341(f341(f177(x37541),x37542),x37544))) % 197.39/197.41 [3772]E(f341(f341(f341(f288(x37721),x37722),x37723),x37724),f341(f257(f889(a115,f889(a874,f885(f882(x37721)))),f888(a115,a115)),f341(f45(x37721),x37722))) % 197.39/197.41 [3792]E(f341(f194(f883(f888(x37921,x37922))),f341(f341(f184(x37921,x37922),x37923),x37924)),f341(f341(f246(a881),f341(f194(f883(x37921)),x37923)),f341(f194(f883(x37922)),x37924))) % 197.39/197.41 [3794]E(f341(f320(x37941,x37942,x37943),f341(f90(f889(x37942,a874)),x37944)),f341(f90(f889(x37941,a874)),f341(f320(x37941,x37942,x37943),x37944))) % 197.39/197.41 [3846]E(f341(f320(x38461,x38462,x38463),f341(f267(x38462),x38464)),f341(f267(x38461),f341(f341(f10(x38462,a874,x38461),x38464),x38463))) % 197.39/197.41 [3864]E(f341(f341(f169(x38641),f341(f341(f137(x38641),x38642),f341(f341(f156(x38641),x38643),x38644))),f341(f194(f883(x38641)),x38642)),x38643) % 197.39/197.41 [3875]E(f341(f341(f317(x38751,x38752),x38753),f341(f320(x38751,x38752,x38753),x38754)),f341(f341(f126(f889(x38752,a874)),x38754),f341(f341(f317(x38751,x38752),x38753),f249(f889(x38751,a874))))) % 197.39/197.41 [3878]P1(f341(f341(f344(x38781),f341(x38782,x38783)),f341(f341(f317(x38784,x38781),x38782),f249(f889(x38784,a874))))) % 197.39/197.41 [3890]E(f341(f341(f186(f889(x38901,x38902),f889(x38901,x38902)),x38903),f341(f82(x38902,x38902,x38901),x38904)),f341(f82(x38902,x38902,x38901),f341(f341(f186(x38902,x38902),x38903),x38904))) % 197.39/197.41 [3909]E(f21(x39091,x39092,x39093,f341(a5,f341(a128,f341(a22,x39094)))),f341(f341(x39093,x39094),f21(x39091,x39092,x39093,x39094))) % 197.39/197.41 [3914]E(f341(f341(f259(x39141,x39142),f341(f176(x39141),x39143)),f341(f18(f889(x39142,a874),x39141),f341(f176(x39142),x39144))),f341(f176(f888(x39141,x39142)),f70(x39141,x39142,x39143,x39144))) % 197.39/197.41 [3926]E(f160(x39261,x39262,f341(f341(f156(x39261),x39263),x39264)),f341(f341(f91(a881),f341(f341(f91(a881),f341(x39262,x39263)),f160(x39261,x39262,x39264))),f341(a128,f2(a881)))) % 197.39/197.41 [3942]P18(x39421,f888(x39422,x39421),f413(x39423,x39424,x39422,x39421),f341(f341(f42(x39422,f889(x39421,a874)),x39424),x39423)) % 197.39/197.41 [3952]E(f341(f341(f3(f889(x39521,a874)),f341(f341(f3(f889(x39521,a874)),x39522),x39523)),f341(f341(f318(x39521),x39524),f193(f889(x39521,a874)))),f341(f341(f3(f889(x39521,a874)),x39522),f341(f341(f318(x39521),x39524),x39523))) % 197.39/197.41 [4050]E(f341(f341(f341(f186(f883(x40501),f883(x40501)),x40502),f172(x40501)),f341(f341(f341(f186(f883(x40501),f883(x40501)),x40503),f172(x40501)),x40504)),f341(f341(f341(f186(f883(x40501),f883(x40501)),f341(f341(f91(a881),x40502),x40503)),f172(x40501)),x40504)) % 197.39/197.41 [4107]E(f341(f341(f125(f889(f887(x41071,x41072),a874)),f341(f341(f317(x41071,f887(x41071,x41072)),f319(x41071,x41072)),x41073)),f341(f341(f317(x41072,f887(x41071,x41072)),f323(x41072,x41071)),x41074)),f324(x41071,x41072,x41073,x41074)) % 197.39/197.41 [4127]P1(f341(f341(f241(f889(x41271,a874)),f341(f176(x41271),f341(f341(f164(x41271,x41272),x41273),x41274))),f341(f341(f318(x41271),x41274),f341(f176(x41271),x41272)))) % 197.39/197.41 [4159]E(f341(f341(f42(f889(x41591,a874),f889(f888(x41591,x41592),a874)),x41593),f341(f341(f9(f889(x41591,a874),f889(x41591,f889(x41592,a874)),f889(f888(x41591,x41592),a874)),f259(x41591,x41592)),x41594)),f341(f341(f259(x41591,x41592),f39(f889(x41591,a874),x41593)),x41594)) % 197.39/197.41 [4231]E(f215(x42311,x42312,x42313,f341(f341(f82(x42312,f889(a115,f889(a115,f889(f888(a115,a115),f889(a115,f882(x42312))))),x42311),f214(x42312)),x42314)),f216(x42311,x42312,x42314,x42313)) % 197.39/197.41 [4260]E(f341(f341(f42(x42601,f889(x42602,a874)),x42603),f341(f341(f9(x42601,f889(x42602,a874),f889(x42602,a874)),f341(f341(f10(x42602,f889(f889(x42602,a874),f889(x42602,a874)),x42601),f318(x42602)),x42604)),f193(f889(x42602,a874)))),f341(f341(f317(x42601,x42602),x42604),x42603)) % 197.39/197.41 [4265]E(f211(x42651,x42652,x42653,f341(f341(f82(x42652,f889(a115,f889(a115,f889(f888(a115,a115),f889(a115,f882(f885(x42652)))))),x42651),f210(x42652)),x42654)),f212(x42651,x42652,x42654,x42653)) % 197.39/197.41 [4269]P1(f341(f341(f241(f889(x42691,a874)),f341(f270(x42692,x42691),f341(f341(f126(f889(f888(x42692,x42691),a874)),x42693),x42694))),f341(f341(f126(f889(x42691,a874)),f341(f270(x42692,x42691),x42693)),f341(f270(x42692,x42691),x42694)))) % 197.39/197.41 [4270]P1(f341(f341(f241(f889(x42701,a874)),f341(f272(x42701,x42702),f341(f341(f126(f889(f888(x42701,x42702),a874)),x42703),x42704))),f341(f341(f126(f889(x42701,a874)),f341(f272(x42701,x42702),x42703)),f341(f272(x42701,x42702),x42704)))) % 197.39/197.41 [4334]E(f341(f132(x43341,f888(x43341,x43342),x43343),f341(f341(f10(f889(x43342,f882(f888(x43341,x43342))),f882(f888(x43341,x43342)),x43341),f132(x43342,f888(x43341,x43342),x43344)),f341(f341(f10(f889(x43342,f888(x43341,x43342)),f889(x43342,f882(f888(x43341,x43342))),x43341),f341(f10(f888(x43341,x43342),f882(f888(x43341,x43342)),x43342),f138(f888(x43341,x43342)))),f257(x43341,x43342)))),f139(x43341,x43342,x43343,x43344)) % 197.39/197.41 [4335]P1(f341(f341(f241(f889(f888(x43351,x43352),a874)),f341(f341(f317(x43352,f888(x43351,x43352)),f413(x43353,x43354,x43351,x43352)),f341(f341(f42(x43351,f889(x43352,a874)),x43354),x43353))),f341(f341(f259(x43351,x43352),x43354),x43353))) % 197.39/197.41 [4367]E(f341(f41(x43671,x43672),f341(f263(f889(a881,f887(x43671,a881)),f889(a881,f887(x43671,a881)),f887(x43672,a881),f887(x43672,a881),f341(f187(f887(x43671,a881)),x43673),f34(f887(x43672,a881))),f341(f47(x43672,x43671),x43674))),f341(f341(f50(x43671,x43672),x43673),x43674)) % 197.39/197.41 [4368]E(f286(x43681,x43682,x43683,f341(f341(f82(x43682,f889(a115,f889(a115,f889(f888(a115,a115),f888(f889(a115,f889(a874,f885(f882(x43682)))),f888(a115,a115))))),x43681),f288(x43682)),x43684)),f289(x43681,x43682,x43684,x43683)) % 197.39/197.41 [4374]E(f96(f888(x43741,x43742),f341(f262(x43741,x43742,a874),f341(f341(f9(x43741,f889(x43742,a874),f889(x43742,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x43742,a874),f889(x43742,a874)),x43741),f10(a874,a874,x43742)),f341(f341(f10(a874,f889(a874,a874),x43741),a339),f341(a338,x43743)))),f341(a338,x43744)))),f341(f341(f257(x43741,x43742),x43743),x43744)) % 197.39/197.41 [4375]E(f102(f888(x43751,x43752),f341(f262(x43751,x43752,a874),f341(f341(f9(x43751,f889(x43752,a874),f889(x43752,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x43752,a874),f889(x43752,a874)),x43751),f10(a874,a874,x43752)),f341(f341(f10(a874,f889(a874,a874),x43751),a339),f341(a338,x43753)))),f341(a338,x43754)))),f341(f341(f257(x43751,x43752),x43753),x43754)) % 197.39/197.41 [4453]E(f341(f341(f262(f883(x44531),f883(x44531),f888(f883(x44531),f883(x44531))),f341(f341(f20(f883(x44531),f889(f883(x44531),f888(f883(x44531),f883(x44531))),f889(f883(x44531),f888(f883(x44531),f883(x44531)))),f341(f341(f10(f889(f883(x44531),f889(f888(f883(x44531),f883(x44531)),f888(f883(x44531),f883(x44531)))),f889(f889(f883(x44531),f888(f883(x44531),f883(x44531))),f889(f883(x44531),f888(f883(x44531),f883(x44531)))),f883(x44531)),f20(f883(x44531),f888(f883(x44531),f883(x44531)),f888(f883(x44531),f883(x44531)))),f341(f341(f10(f889(f883(x44531),f888(f883(x44531),f883(x44531))),f889(f883(x44531),f889(f888(f883(x44531),f883(x44531)),f888(f883(x44531),f883(x44531)))),f883(x44531)),f341(f10(f888(f883(x44531),f883(x44531)),f889(f888(f883(x44531),f883(x44531)),f888(f883(x44531),f883(x44531))),f883(x44531)),f341(f111(f888(f883(x44531),f883(x44531))),f341(x44532,x44533)))),f341(f341(f10(f883(x44531),f889(f883(x44531),f888(f883(x44531),f883(x44531))),f883(x44531)),f257(f883(x44531),f883(x44531))),f341(f156(x44531),x44533))))),f341(f341(f9(f883(x44531),f889(f883(x44531),f883(x44531)),f889(f883(x44531),f888(f883(x44531),f883(x44531)))),f341(f341(f10(f889(f883(x44531),f888(f883(x44531),f883(x44531))),f889(f889(f883(x44531),f883(x44531)),f889(f883(x44531),f888(f883(x44531),f883(x44531)))),f883(x44531)),f10(f883(x44531),f888(f883(x44531),f883(x44531)),f883(x44531))),f257(f883(x44531),f883(x44531)))),f341(f156(x44531),x44533)))),f171(x44531,x44532,x44534)),f171(x44531,x44532,f341(f341(f156(x44531),x44533),x44534))) % 197.39/197.41 [3570]E(f341(f194(f880(x35701)),f341(f341(f341(f103(x35701),x35702),x35703),x35704)),f2(a881)) % 197.39/197.41 [3688]E(f341(f341(f177(x36881),x36882),f341(f341(f177(x36881),x36883),x36884)),f341(f341(f177(x36881),f341(f341(f246(a881),x36882),x36883)),x36884)) % 197.39/197.41 [3689]E(f341(f341(f143(x36891),x36892),f341(f341(f143(x36891),x36893),x36894)),f341(f341(f143(x36891),f341(f341(f91(a881),x36892),x36893)),x36894)) % 197.39/197.41 [3701]E(f341(f341(f137(x37011),f341(f341(f137(x37011),x37012),x37013)),x37014),f341(f341(f137(x37011),x37012),f341(f341(f137(x37011),x37013),x37014))) % 197.39/197.41 [3702]E(f341(f341(f137(x37021),f341(f341(f156(x37021),x37022),x37023)),x37024),f341(f341(f156(x37021),x37022),f341(f341(f137(x37021),x37023),x37024))) % 197.39/197.41 [3729]E(f341(f341(f341(f187(x37291),x37292),f341(f169(x37291),x37293)),x37294),f341(f341(f169(x37291),f341(f341(f156(x37291),x37292),x37293)),x37294)) % 197.39/197.41 [3787]E(f341(f341(f186(x37871,x37871),x37872),f341(f341(f186(x37871,x37871),x37873),x37874)),f341(f341(f186(x37871,x37871),f341(f341(f92(a881),x37873),x37872)),x37874)) % 197.39/197.41 [3812]E(f341(f341(f125(f889(x38121,a874)),x38122),f341(f341(f318(x38121),x38123),x38124)),f341(f341(f318(x38121),x38123),f341(f341(f125(f889(x38121,a874)),x38122),x38124))) % 197.39/197.41 [3820]E(f39(f889(x38201,a874),f341(f341(f317(x38202,f889(x38201,a874)),x38203),x38204)),f341(f341(f42(x38202,f889(x38201,a874)),x38204),x38203)) % 197.39/197.41 [3821]E(f40(f889(x38211,a874),f341(f341(f317(x38212,f889(x38211,a874)),x38213),x38214)),f341(f341(f43(x38212,f889(x38211,a874)),x38214),x38213)) % 197.39/197.41 [3831]E(f341(f341(f341(f186(x38311,x38311),x38312),x38313),f341(x38313,x38314)),f341(x38313,f341(f341(f341(f186(x38311,x38311),x38312),x38313),x38314))) % 197.39/197.41 [3837]E(f341(f341(f296(x38371,x38372,x38373),f193(f889(f888(x38371,x38372),a874))),x38374),f193(f889(f888(x38371,x38373),a874))) % 197.39/197.41 [3852]E(f341(f341(f125(f889(x38521,a874)),f341(f341(f318(x38521),x38522),x38523)),x38524),f341(f341(f318(x38521),x38522),f341(f341(f125(f889(x38521,a874)),x38523),x38524))) % 197.39/197.41 [3871]E(f341(f37(f888(x38711,x38712)),f341(f341(f259(x38711,x38712),x38713),f341(f18(f889(x38712,a874),x38711),x38714))),f341(f341(f92(a881),f341(f37(x38711),x38713)),f341(f37(x38712),x38714))) % 197.39/197.41 [3880]E(f341(f341(f126(f889(x38801,a874)),f341(f341(f318(x38801),x38802),x38803)),f341(f341(f318(x38801),x38802),x38804)),f341(f341(f318(x38801),x38802),f341(f341(f126(f889(x38801,a874)),x38803),x38804))) % 197.39/197.41 [3888]E(f53(x38881,x38882,f341(f341(f50(x38882,x38881),f341(f323(a881,x38882),f341(a128,x38883))),x38884)),f341(a128,f53(x38881,x38882,x38884))) % 197.39/197.41 [3894]E(f341(f341(f125(f889(x38941,a874)),x38942),f341(f341(f125(f889(x38941,a874)),x38943),x38944)),f341(f341(f125(f889(x38941,a874)),x38943),f341(f341(f125(f889(x38941,a874)),x38942),x38944))) % 197.39/197.41 [3895]E(f341(f341(f126(f889(x38951,a874)),x38952),f341(f341(f126(f889(x38951,a874)),x38953),x38954)),f341(f341(f126(f889(x38951,a874)),x38953),f341(f341(f126(f889(x38951,a874)),x38952),x38954))) % 197.39/197.41 [3906]E(f182(x39061,f341(f341(f159(f883(x39062),f883(x39061)),f341(f159(x39062,x39061),x39063)),x39064)),f341(f341(f159(f883(x39062),f883(x39061)),f341(f159(x39062,x39061),x39063)),f182(x39062,x39064))) % 197.39/197.41 [3923]E(f341(f147(f883(x39231),f883(x39231),f137(x39231),f129(x39231)),f341(f341(f159(x39232,f883(x39231)),x39233),x39234)),f168(x39232,x39231,x39233,x39234)) % 197.39/197.41 [3932]E(f341(f341(f82(x39321,x39321,x39321),f341(f341(f186(x39321,x39321),x39322),x39323)),f341(f341(f186(x39321,x39321),x39324),x39323)),f341(f341(f186(x39321,x39321),f341(f341(f91(a881),x39322),x39324)),x39323)) % 197.39/197.41 [4021]E(f341(f341(f126(f889(x40211,a874)),f341(f341(f3(f889(x40211,a874)),x40212),x40213)),f341(f341(f3(f889(x40211,a874)),x40212),x40214)),f341(f341(f3(f889(x40211,a874)),x40212),f341(f341(f125(f889(x40211,a874)),x40213),x40214))) % 197.39/197.41 [4022]E(f341(f341(f125(f889(x40221,a874)),f341(f341(f3(f889(x40221,a874)),x40222),x40223)),f341(f341(f3(f889(x40221,a874)),x40222),x40224)),f341(f341(f3(f889(x40221,a874)),x40222),f341(f341(f126(f889(x40221,a874)),x40223),x40224))) % 197.39/197.41 [4023]E(f341(f341(f126(f889(x40231,a874)),f341(f341(f125(f889(x40231,a874)),x40232),x40233)),f341(f341(f125(f889(x40231,a874)),x40232),x40234)),f341(f341(f125(f889(x40231,a874)),x40232),f341(f341(f126(f889(x40231,a874)),x40233),x40234))) % 197.39/197.41 [4024]E(f341(f341(f3(f889(x40241,a874)),f341(f341(f126(f889(x40241,a874)),x40242),x40243)),f341(f341(f126(f889(x40241,a874)),x40242),x40244)),f341(f341(f126(f889(x40241,a874)),x40242),f341(f341(f3(f889(x40241,a874)),x40243),x40244))) % 197.39/197.41 [4025]E(f341(f341(f125(f889(x40251,a874)),f341(f341(f126(f889(x40251,a874)),x40252),x40253)),f341(f341(f126(f889(x40251,a874)),x40252),x40254)),f341(f341(f126(f889(x40251,a874)),x40252),f341(f341(f125(f889(x40251,a874)),x40253),x40254))) % 197.39/197.41 [4030]E(f341(f37(f888(x40301,x40302)),f341(f341(f259(x40301,x40302),f341(f341(f318(x40301),x40303),f193(f889(x40301,a874)))),f341(f18(f889(x40302,a874),x40301),x40304))),f341(f37(x40302),x40304)) % 197.39/197.41 [4062]E(f341(f341(f43(x40621,f889(x40622,a874)),x40623),f341(f341(f10(f889(x40622,a874),f889(x40622,a874),x40621),f90(f889(x40622,a874))),x40624)),f341(f90(f889(x40622,a874)),f341(f341(f42(x40621,f889(x40622,a874)),x40623),x40624))) % 197.39/197.41 [4063]E(f341(f341(f42(x40631,f889(x40632,a874)),x40633),f341(f341(f10(f889(x40632,a874),f889(x40632,a874),x40631),f90(f889(x40632,a874))),x40634)),f341(f90(f889(x40632,a874)),f341(f341(f43(x40631,f889(x40632,a874)),x40633),x40634))) % 197.39/197.41 [4076]E(f341(f341(f296(x40761,x40761,x40761),f341(f341(f186(f888(x40761,x40761),a874),x40762),x40763)),f341(f341(f186(f888(x40761,x40761),a874),x40764),x40763)),f341(f341(f186(f888(x40761,x40761),a874),f341(f341(f91(a881),x40762),x40764)),x40763)) % 197.39/197.41 [4090]E(f341(f341(f341(f187(f883(x40901)),f341(f341(f156(x40901),x40902),x40903)),f341(f341(f9(a881,f883(x40901),f883(x40901)),f143(x40901)),x40903)),x40904),f341(f341(f143(x40901),x40904),f341(f341(f156(x40901),x40902),x40903))) % 197.39/197.41 [4100]E(f341(f341(f43(x41001,f889(f889(x41002,a874),a874)),x41003),f341(f341(f10(f889(x41002,a874),f889(f889(x41002,a874),a874),x41001),f316(x41002)),x41004)),f341(f316(x41002),f341(f341(f43(x41001,f889(x41002,a874)),x41003),x41004))) % 197.39/197.41 [4134]E(f341(f341(f42(f889(x41341,a874),f889(x41342,a874)),x41343),f341(f341(f9(f889(x41341,a874),f889(x41341,f889(x41342,a874)),f889(x41342,a874)),f42(x41341,f889(x41342,a874))),x41344)),f341(f341(f42(x41341,f889(x41342,a874)),f39(f889(x41341,a874),x41343)),x41344)) % 197.39/197.41 [4135]E(f341(f341(f43(f889(x41351,a874),f889(x41352,a874)),x41353),f341(f341(f9(f889(x41351,a874),f889(x41351,f889(x41352,a874)),f889(x41352,a874)),f43(x41351,f889(x41352,a874))),x41354)),f341(f341(f43(x41351,f889(x41352,a874)),f39(f889(x41351,a874),x41353)),x41354)) % 197.39/197.41 [4140]E(f341(f341(f159(x41401,x41402),x41403),f341(f147(f883(x41401),f883(x41401),f137(x41401),f129(x41401)),x41404)),f341(f147(f883(x41402),f883(x41402),f137(x41402),f129(x41402)),f341(f341(f159(f883(x41401),f883(x41402)),f341(f159(x41401,x41402),x41403)),x41404))) % 197.39/197.41 [4172]P1(f341(f341(f241(f889(x41721,a874)),f341(f341(f317(x41722,x41721),x41723),f341(f320(x41722,x41721,x41723),x41724))),x41724)) % 197.39/197.41 [4187]E(f341(f341(f317(f888(x41871,x41872),f888(x41872,x41871)),f341(f262(x41871,x41872,f888(x41872,x41871)),f341(f9(x41872,x41871,f888(x41872,x41871)),f257(x41872,x41871)))),f341(f341(f259(x41871,x41872),x41873),f341(f18(f889(x41872,a874),x41871),x41874))),f341(f341(f259(x41872,x41871),x41874),f341(f18(f889(x41871,a874),x41872),x41873))) % 197.39/197.41 [4192]E(f341(f341(f42(x41921,f889(x41922,a874)),x41923),f341(f341(f10(f889(x41921,a874),f889(x41922,a874),x41921),f292(x41921,x41922,x41924)),f341(f341(f9(x41921,f889(x41921,a874),f889(x41921,a874)),f318(x41921)),f193(f889(x41921,a874))))),f341(f292(x41921,x41922,x41924),x41923)) % 197.39/197.41 [4193]E(f341(f341(f42(x41931,f889(x41932,a874)),x41933),f341(f341(f10(f889(x41931,a874),f889(x41932,a874),x41931),f320(x41932,x41931,x41934)),f341(f341(f9(x41931,f889(x41931,a874),f889(x41931,a874)),f318(x41931)),f193(f889(x41931,a874))))),f341(f320(x41932,x41931,x41934),x41933)) % 197.39/197.41 [4282]E(f341(f341(f126(f889(x42821,a874)),f341(f341(f126(f889(x42821,a874)),f341(f341(f125(f889(x42821,a874)),x42822),x42823)),f341(f341(f125(f889(x42821,a874)),x42823),x42824))),f341(f341(f125(f889(x42821,a874)),x42824),x42822)),f341(f341(f125(f889(x42821,a874)),f341(f341(f125(f889(x42821,a874)),f341(f341(f126(f889(x42821,a874)),x42822),x42823)),f341(f341(f126(f889(x42821,a874)),x42823),x42824))),f341(f341(f126(f889(x42821,a874)),x42824),x42822))) % 197.39/197.41 [4346]E(f341(f147(f883(x43461),f883(x43461),f137(x43461),f129(x43461)),f341(f341(f159(x43462,f883(x43461)),f341(f341(f9(x43462,f883(x43461),f883(x43461)),f341(f341(f10(x43461,f889(f883(x43461),f883(x43461)),x43462),f156(x43461)),x43463)),f129(x43461))),x43464)),f341(f341(f159(x43462,x43461),x43463),x43464)) % 197.39/197.41 [4355]E(f341(f341(f97(a1,x43551),f341(f118(a1),f341(f341(f91(a1),x43552),a100))),f341(f341(f20(a1,x43551,x43551),f341(f341(f9(a1,x43551,f889(x43551,x43551)),f341(f341(f10(a874,f889(x43551,f889(x43551,x43551)),a1),f111(x43551)),a198)),x43553)),f341(f341(f10(a881,x43551,a1),x43554),a119))),f341(f341(f341(f187(x43551),x43553),x43554),f341(f118(a881),x43552))) % 197.39/197.41 [4390]E(f341(f267(x43901),f341(f341(f10(f889(x43902,a874),a874,x43901),f98(x43902)),f341(f341(f10(f889(x43902,a874),f889(x43902,a874),x43901),f341(f20(x43902,a874,a874),f341(f341(f10(a874,f889(a874,a874),x43902),a339),f341(f341(f9(x43902,f889(x43902,a874),a874),f344(x43902)),x43903)))),f341(f9(x43902,x43901,a874),x43904)))),f341(f292(x43902,x43901,f341(f267(f888(x43902,x43901)),f341(f262(x43902,x43901,a874),x43904))),x43903)) % 197.39/197.41 [4579]~P1(f341(f341(f193(f889(x45791,f889(x45792,a874))),x45793),x45794)) % 197.39/197.41 [3840]E(f341(f341(f169(x38401),f341(f341(f137(x38401),x38402),x38403)),f341(f341(f91(a881),f341(f194(f883(x38401)),x38402)),x38404)),f341(f341(f169(x38401),x38403),x38404)) % 197.39/197.41 [3845]E(f341(f341(f143(x38451),x38452),f341(f341(f177(x38451),f341(f341(f91(a881),x38453),x38452)),x38454)),f341(f341(f177(x38451),x38453),f341(f341(f143(x38451),x38452),x38454))) % 197.39/197.41 [3940]E(f341(f341(f125(f889(x39401,a874)),f341(f270(x39402,x39401),x39403)),f341(f270(x39402,x39401),x39404)),f341(f270(x39402,x39401),f341(f341(f125(f889(f888(x39402,x39401),a874)),x39403),x39404))) % 197.39/197.41 [3941]E(f341(f341(f125(f889(x39411,a874)),f341(f272(x39411,x39412),x39413)),f341(f272(x39411,x39412),x39414)),f341(f272(x39411,x39412),f341(f341(f125(f889(f888(x39411,x39412),a874)),x39413),x39414))) % 197.39/197.41 [3945]E(f341(f341(f3(f889(x39451,a874)),f341(f341(f126(f889(x39451,a874)),x39452),x39453)),x39454),f341(f341(f126(f889(x39451,a874)),x39452),f341(f341(f3(f889(x39451,a874)),x39453),x39454))) % 197.39/197.41 [3946]E(f341(f341(f125(f889(x39461,a874)),f341(f341(f125(f889(x39461,a874)),x39462),x39463)),x39464),f341(f341(f125(f889(x39461,a874)),x39462),f341(f341(f125(f889(x39461,a874)),x39463),x39464))) % 197.39/197.41 [3947]E(f341(f341(f126(f889(x39471,a874)),f341(f341(f126(f889(x39471,a874)),x39472),x39473)),x39474),f341(f341(f126(f889(x39471,a874)),x39472),f341(f341(f126(f889(x39471,a874)),x39473),x39474))) % 197.39/197.41 [3986]E(f341(f341(f125(f889(f888(x39861,x39862),a874)),f341(f293(x39862,x39861),x39863)),f341(f293(x39862,x39861),x39864)),f341(f293(x39862,x39861),f341(f341(f125(f889(f888(x39862,x39861),a874)),x39863),x39864))) % 197.39/197.41 [3987]E(f341(f341(f126(f889(f888(x39871,x39872),a874)),f341(f293(x39872,x39871),x39873)),f341(f293(x39872,x39871),x39874)),f341(f293(x39872,x39871),f341(f341(f126(f889(f888(x39872,x39871),a874)),x39873),x39874))) % 197.39/197.41 [4005]E(f341(f341(f125(f889(x40051,f889(x40052,a874))),f250(x40052,x40051,x40053)),f250(x40052,x40051,x40054)),f250(x40052,x40051,f341(f341(f125(f889(x40052,f889(x40051,a874))),x40053),x40054))) % 197.39/197.41 [4006]E(f341(f341(f126(f889(x40061,f889(x40062,a874))),f250(x40062,x40061,x40063)),f250(x40062,x40061,x40064)),f250(x40062,x40061,f341(f341(f126(f889(x40062,f889(x40061,a874))),x40063),x40064))) % 197.39/197.41 [4066]E(f341(f341(f125(f889(x40661,a874)),f341(f341(f3(f889(x40661,a874)),x40662),x40663)),f341(f341(f3(f889(x40661,a874)),x40664),x40663)),f341(f341(f3(f889(x40661,a874)),f341(f341(f125(f889(x40661,a874)),x40662),x40664)),x40663)) % 197.39/197.41 [4067]E(f341(f341(f126(f889(x40671,a874)),f341(f341(f125(f889(x40671,a874)),x40672),x40673)),f341(f341(f125(f889(x40671,a874)),x40674),x40673)),f341(f341(f125(f889(x40671,a874)),f341(f341(f126(f889(x40671,a874)),x40672),x40674)),x40673)) % 197.39/197.41 [4068]E(f341(f341(f3(f889(x40681,a874)),f341(f341(f126(f889(x40681,a874)),x40682),x40683)),f341(f341(f126(f889(x40681,a874)),x40684),x40683)),f341(f341(f126(f889(x40681,a874)),f341(f341(f3(f889(x40681,a874)),x40682),x40684)),x40683)) % 197.39/197.41 [4069]E(f341(f341(f125(f889(x40691,a874)),f341(f341(f126(f889(x40691,a874)),x40692),x40693)),f341(f341(f126(f889(x40691,a874)),x40694),x40693)),f341(f341(f126(f889(x40691,a874)),f341(f341(f125(f889(x40691,a874)),x40692),x40694)),x40693)) % 197.39/197.41 [4070]E(f341(f341(f3(f889(x40701,a874)),f341(f341(f126(f889(x40701,a874)),x40702),x40703)),f341(f341(f126(f889(x40701,a874)),x40704),x40703)),f341(f341(f3(f889(x40701,a874)),f341(f341(f126(f889(x40701,a874)),x40702),x40703)),x40704)) % 197.39/197.41 [4079]E(f341(f341(f3(f889(x40791,a874)),f341(f341(f3(f889(x40791,a874)),x40792),f341(f341(f318(x40791),x40793),f193(f889(x40791,a874))))),x40794),f341(f341(f3(f889(x40791,a874)),x40792),f341(f341(f318(x40791),x40793),x40794))) % 197.39/197.41 [4130]E(f341(f341(f125(f889(x41301,a874)),f341(f341(f318(x41301),x41302),f341(f341(f318(x41301),x41303),f193(f889(x41301,a874))))),f341(f291(x41301),x41304)),f341(f291(x41301),f341(f341(f318(f888(x41301,x41301)),f341(f341(f257(x41301,x41301),x41302),x41303)),x41304))) % 197.39/197.41 [4155]E(f341(f341(f42(a881,f889(x41551,a874)),f341(f308(a881),x41552)),f341(f341(f10(a881,f889(x41551,a874),a881),x41553),f341(f341(f9(a881,a881,a881),f91(a881)),x41554))),f341(f341(f42(a881,f889(x41551,a874)),f310(a881,x41554,f341(f341(f91(a881),x41552),x41554))),x41553)) % 197.39/197.41 [4156]E(f179(x41561,f341(f292(x41561,x41561,x41562),f341(f341(f318(x41561),x41563),f193(f889(x41561,a874)))),f341(f292(f883(x41561),f883(x41561),f163(x41561,x41562)),f341(f341(f318(f883(x41561)),x41564),f193(f889(f883(x41561),a874))))),f341(f292(f883(x41561),f883(x41561),f163(x41561,x41562)),f341(f341(f318(f883(x41561)),f341(f341(f156(x41561),x41563),x41564)),f193(f889(f883(x41561),a874))))) % 197.39/197.41 [4203]E(f341(f341(f341(f187(f883(x42031)),f129(x42031)),f341(f341(f10(f883(x42031),f883(x42031),a881),f341(f156(x42031),x42032)),f341(f341(f9(a881,f883(x42031),f883(x42031)),f177(x42031)),x42033))),x42034),f341(f341(f177(x42031),x42034),f341(f341(f156(x42031),x42032),x42033))) % 197.39/197.41 [4215]E(f341(f267(x42151),f341(f341(f9(x42151,f889(x42152,a874),a874),f341(f341(f10(x42152,f889(f889(x42152,a874),a874),x42151),f344(x42152)),x42153)),x42154)),f341(f320(x42151,x42152,x42153),x42154)) % 197.39/197.41 [4317]E(f341(f267(x43171),f341(f341(f9(x43171,f889(f888(x43172,x43171),a874),a874),f341(f341(f10(f888(x43172,x43171),f889(f889(f888(x43172,x43171),a874),a874),x43171),f344(f888(x43172,x43171))),f341(f257(x43172,x43171),x43173))),x43174)),f341(f292(x43172,x43171,x43174),f341(f341(f318(x43172),x43173),f193(f889(x43172,a874))))) % 197.39/197.41 [4332]E(f341(f341(f159(f888(x43321,a881),x43321),f256(x43321,a881)),f341(f141(f888(x43321,a881),f341(f341(f10(a881,a874,f888(x43321,a881)),x43322),f341(f341(f10(a881,a881,f888(x43321,a881)),a128),f261(x43321,a881)))),f341(f341(f184(x43321,a881),x43323),x43324))),f341(f341(f159(f888(x43321,a881),x43321),f256(x43321,a881)),f341(f141(f888(x43321,a881),f341(f341(f10(a881,a874,f888(x43321,a881)),x43322),f261(x43321,a881))),f341(f341(f184(x43321,a881),x43323),f341(f341(f159(a881,a881),a128),x43324))))) % 197.39/197.41 [4341]P1(f341(f341(f241(f889(f889(x43411,a874),a874)),f341(f341(f42(x43412,f889(f889(x43411,a874),a874)),x43413),f341(f341(f10(f889(x43411,a874),f889(f889(x43411,a874),a874),x43412),f316(x43411)),x43414))),f341(f316(x43411),f341(f341(f42(x43412,f889(x43411,a874)),x43413),x43414)))) % 197.39/197.41 [4381]E(f341(f341(f97(a1,x43811),f341(f118(a1),f341(f341(f91(a1),x43812),a100))),f341(f341(f20(a1,x43811,x43811),f341(f341(f9(a1,x43811,f889(x43811,x43811)),f341(f341(f10(a874,f889(x43811,f889(x43811,x43811)),a1),f111(x43811)),a198)),x43813)),f341(f341(f20(a1,x43811,x43811),f341(f341(f10(a881,f889(x43811,x43811),a1),x43814),a119)),f341(f341(f10(a881,x43811,a1),f188(x43811,x43813,x43814)),a119)))),f341(f188(x43811,x43813,x43814),f341(f118(a881),x43812))) % 197.39/197.41 [4407]E(f341(f267(f888(x44071,x44072)),f341(f262(x44071,x44072,a874),f341(f341(f9(x44071,f889(x44072,a874),f889(x44072,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x44072,a874),f889(x44072,a874)),x44071),f10(a874,a874,x44072)),f341(f341(f10(a874,f889(a874,a874),x44071),a339),f341(f341(f9(x44071,f889(x44071,a874),a874),f344(x44071)),x44073)))),f341(f341(f9(x44072,f889(x44072,a874),a874),f344(x44072)),x44074)))),f236(x44071,x44072,x44073,x44074)) % 197.39/197.41 [4447]E(f341(f341(f42(x44471,f889(f888(x44471,x44472),a874)),x44473),f341(f341(f20(x44471,f889(x44472,f889(f888(x44471,x44472),a874)),f889(f888(x44471,x44472),a874)),f341(f341(f10(f889(x44472,a874),f889(f889(x44472,f889(f888(x44471,x44472),a874)),f889(f888(x44471,x44472),a874)),x44471),f42(x44472,f889(f888(x44471,x44472),a874))),x44474)),f341(f341(f9(x44471,f889(f888(x44471,x44472),a874),f889(x44472,f889(f888(x44471,x44472),a874))),f341(f341(f10(f889(x44472,f889(f889(f888(x44471,x44472),a874),f889(f888(x44471,x44472),a874))),f889(f889(f888(x44471,x44472),a874),f889(x44472,f889(f888(x44471,x44472),a874))),x44471),f9(x44472,f889(f888(x44471,x44472),a874),f889(f888(x44471,x44472),a874))),f341(f341(f10(f889(x44472,f888(x44471,x44472)),f889(x44472,f889(f889(f888(x44471,x44472),a874),f889(f888(x44471,x44472),a874))),x44471),f341(f10(f888(x44471,x44472),f889(f889(f888(x44471,x44472),a874),f889(f888(x44471,x44472),a874)),x44472),f318(f888(x44471,x44472)))),f257(x44471,x44472)))),f193(f889(f888(x44471,x44472),a874))))),f341(f341(f259(x44471,x44472),x44473),x44474)) % 197.39/197.41 [3996]E(f341(f341(f137(x39961),f341(f341(f177(x39961),x39962),x39963)),f341(f341(f177(x39961),f341(f341(f3(a881),x39962),f341(f194(f883(x39961)),x39963))),x39964)),f341(f341(f177(x39961),x39962),f341(f341(f137(x39961),x39963),x39964))) % 197.39/197.41 [3997]E(f341(f341(f137(x39971),f341(f341(f143(x39971),x39972),x39973)),f341(f341(f143(x39971),f341(f341(f3(a881),x39972),f341(f194(f883(x39971)),x39973))),x39974)),f341(f341(f143(x39971),x39972),f341(f341(f137(x39971),x39973),x39974))) % 197.39/197.41 [4057]E(f341(f341(f91(a881),f341(f341(f92(a881),x40571),x40572)),f341(f341(f91(a881),f341(f341(f92(a881),x40573),x40572)),x40574)),f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f91(a881),x40571),x40573)),x40572)),x40574)) % 197.39/197.41 [4224]E(f341(f341(f125(f889(f879(x42241,x42242),a874)),f341(f341(f317(f879(x42241,x42242),f879(x42241,x42242)),f341(f50(x42242,x42241),f341(f323(a881,x42242),f89(a881)))),x42243)),f341(f341(f317(f879(x42241,x42242),f879(x42241,x42242)),f341(f50(x42242,x42241),f341(f323(a881,x42242),f341(a128,f89(a881))))),x42244)),f341(f341(f54(x42241,x42242),x42243),x42244)) % 197.39/197.41 [4249]P1(f341(f341(f241(f889(x42491,a874)),f341(f341(f3(f889(x42491,a874)),f341(f270(x42492,x42491),x42493)),f341(f270(x42492,x42491),x42494))),f341(f270(x42492,x42491),f341(f341(f3(f889(f888(x42492,x42491),a874)),x42493),x42494)))) % 197.39/197.41 [4250]P1(f341(f341(f241(f889(x42501,a874)),f341(f341(f3(f889(x42501,a874)),f341(f272(x42501,x42502),x42503)),f341(f272(x42501,x42502),x42504))),f341(f272(x42501,x42502),f341(f341(f3(f889(f888(x42501,x42502),a874)),x42503),x42504)))) % 197.39/197.41 [4358]E(f341(f341(f91(a1),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x43581),x43582)),f193(f889(f888(a881,a881),a874)))))),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x43583),x43584)),f193(f889(f888(a881,a881),a874)))))),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),f341(f341(f91(a881),x43581),x43583)),f341(f341(f91(a881),x43582),x43584))),f193(f889(f888(a881,a881),a874)))))) % 197.39/197.41 [4403]E(f341(f341(f92(a1),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x44031),x44032)),f193(f889(f888(a881,a881),a874)))))),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x44033),x44034)),f193(f889(f888(a881,a881),a874)))))),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),f341(f341(f91(a881),f341(f341(f92(a881),x44031),x44033)),f341(f341(f92(a881),x44032),x44034))),f341(f341(f91(a881),f341(f341(f92(a881),x44031),x44034)),f341(f341(f92(a881),x44032),x44033)))),f193(f889(f888(a881,a881),a874)))))) % 197.39/197.41 [4423]E(f341(f267(x44231),f341(f341(f10(f889(x44232,a874),a874,x44231),f99(x44232)),f341(f341(f10(f889(x44232,a874),f889(x44232,a874),x44231),f341(f20(x44232,a874,a874),f341(f341(f10(a874,f889(a874,a874),x44232),a345),f341(f341(f9(x44232,f889(x44232,a874),a874),f344(x44232)),x44233)))),f341(f341(f9(x44231,f889(x44232,f889(x44231,a874)),f889(x44232,a874)),f341(f341(f10(f889(f889(x44231,a874),a874),f889(f889(x44232,f889(x44231,a874)),f889(x44232,a874)),x44231),f10(f889(x44231,a874),a874,x44232)),f344(x44231))),x44234)))),f341(f341(f43(x44232,f889(x44231,a874)),x44233),x44234)) % 197.39/197.41 [4461]E(f341(f341(f296(x44611,x44611,x44611),f341(f341(f318(f888(x44611,x44611)),f341(f341(f257(x44611,x44611),x44612),x44613)),x44614)),f315(x44611,f341(f341(f318(f888(x44611,x44611)),f341(f341(f257(x44611,x44611),x44612),x44613)),x44614))),f341(f341(f125(f889(f888(x44611,x44611),a874)),f341(f341(f296(x44611,x44611,x44611),x44614),f315(x44611,x44614))),f341(f267(f888(x44611,x44611)),f341(f262(x44611,x44611,a874),f341(f341(f9(x44611,f889(x44611,a874),f889(x44611,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x44611,a874),f889(x44611,a874)),x44611),f10(a874,a874,x44611)),f341(f341(f10(a874,f889(a874,a874),x44611),a339),f341(f341(f9(x44611,f889(f888(x44611,x44611),a874),a874),f341(f341(f10(f888(x44611,x44611),f889(f889(f888(x44611,x44611),a874),a874),x44611),f344(f888(x44611,x44611))),f341(f341(f9(x44611,x44611,f888(x44611,x44611)),f257(x44611,x44611)),x44612))),f315(x44611,x44614))))),f341(f341(f9(x44611,f889(f888(x44611,x44611),a874),a874),f341(f341(f10(f888(x44611,x44611),f889(f889(f888(x44611,x44611),a874),a874),x44611),f344(f888(x44611,x44611))),f341(f257(x44611,x44611),x44613))),f315(x44611,x44614))))))) % 197.39/197.41 [4251]E(f341(f141(x42511,f341(f341(f20(x42511,a874,a874),f341(f341(f10(a874,f889(a874,a874),x42511),a339),x42512)),x42513)),x42514),f341(f141(x42511,x42513),f341(f141(x42511,x42512),x42514))) % 197.39/197.41 [4352]E(f341(f341(f137(x43521),f341(f341(f341(f111(f883(x43521)),f341(f341(f344(a881),f2(a881)),x43522)),f341(f341(f156(x43521),x43523),f129(x43521))),f129(x43521))),f178(x43521,x43524,f341(f267(a881),f341(f341(f9(a881,f889(a881,a874),a874),f341(f341(f10(a881,f889(f889(a881,a874),a874),a881),f344(a881)),a128)),x43522)))),f178(x43521,f341(f341(f156(x43521),x43523),x43524),x43522)) % 197.39/197.41 [4457]E(f341(f267(f888(x44571,x44572)),f341(f341(f10(f889(a881,a874),a874,f888(x44571,x44572)),f98(a881)),f341(f341(f9(f888(x44571,x44572),f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),f888(x44571,x44572)),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),f888(x44571,x44572)),f341(f10(a874,f889(a874,a874),a881),a339)),f341(f341(f9(f888(x44571,x44572),f889(a881,f888(x44571,x44572)),f889(a881,a874)),f341(f341(f10(f889(f888(x44571,x44572),a874),f889(f889(a881,f888(x44571,x44572)),f889(a881,a874)),f888(x44571,x44572)),f10(f888(x44571,x44572),a874,a881)),a338)),f341(f341(f20(a881,x44572,f888(x44571,x44572)),f341(f341(f10(x44571,f889(x44572,f888(x44571,x44572)),a881),f257(x44571,x44572)),f341(f169(x44571),x44573))),f341(f169(x44572),x44574)))))),f341(f341(f9(a881,a881,a874),f242(a881)),f341(f341(f246(a881),f341(f194(f883(x44571)),x44573)),f341(f194(f883(x44572)),x44574)))))),f341(f176(f888(x44571,x44572)),f341(f341(f184(x44571,x44572),x44573),x44574))) % 197.39/197.41 [4373]E(f341(f267(f888(x43731,x43732)),f341(f262(x43731,x43732,a874),f341(f341(f9(x43731,f889(x43732,a874),f889(x43732,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x43732,a874),f889(x43732,a874)),x43731),f10(a874,a874,x43732)),f341(f341(f10(a874,f889(a874,a874),x43731),a339),x43733))),x43734))),f341(f341(f259(x43731,x43732),f341(f267(x43731),x43733)),f341(f18(f889(x43732,a874),x43731),f341(f267(x43732),x43734)))) % 197.39/197.41 [4376]E(f341(f267(f888(x43761,x43762)),f341(f262(x43761,x43762,a874),f341(f341(f20(x43761,f889(x43762,a874),f889(x43762,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x43762,a874),f889(x43762,a874)),x43761),f10(a874,a874,x43762)),f341(f341(f10(a874,f889(a874,a874),x43761),a339),x43763))),x43764))),f341(f341(f259(x43761,x43762),f341(f267(x43761),x43763)),f341(f341(f10(f889(x43762,a874),f889(x43762,a874),x43761),f267(x43762)),x43764))) % 197.39/197.41 [4389]E(f341(f267(x43891),f341(f341(f10(f889(x43892,a874),a874,x43891),f99(x43892)),f341(f341(f10(f889(x43892,a874),f889(x43892,a874),x43891),f341(f20(x43892,a874,a874),f341(f341(f10(a874,f889(a874,a874),x43892),a345),f341(f341(f9(x43892,f889(x43892,a874),a874),f344(x43892)),x43893)))),x43894))),f341(f341(f43(x43892,f889(x43891,a874)),x43893),f341(f341(f10(f889(x43891,a874),f889(x43891,a874),x43892),f267(x43891)),f341(f9(x43891,x43892,a874),x43894)))) % 197.39/197.41 [4436]E(f341(f341(f159(f888(x44361,a881),x44361),f256(x44361,a881)),f341(f141(f888(x44361,a881),f341(f341(f9(f888(x44361,a881),f889(a881,a874),a874),f341(f341(f10(a881,f889(f889(a881,a874),a874),f888(x44361,a881)),f344(a881)),f261(x44361,a881))),x44362)),f341(f341(f184(x44361,a881),x44363),f144(a881,f341(f309(a881,x44364),f341(f341(f91(a881),x44364),f341(f194(f883(x44361)),x44363))))))),f341(f341(f159(f888(x44361,a881),x44361),f256(x44361,a881)),f341(f141(f888(x44361,a881),f341(f341(f9(f888(x44361,a881),f889(a881,a874),a874),f341(f341(f10(a881,f889(f889(a881,a874),a874),f888(x44361,a881)),f344(a881)),f341(f341(f9(f888(x44361,a881),a881,a881),f341(f341(f10(a881,f889(a881,a881),f888(x44361,a881)),f91(a881)),f261(x44361,a881))),x44364))),x44362)),f341(f341(f184(x44361,a881),x44363),f144(a881,f341(f309(a881,f2(a881)),f341(f194(f883(x44361)),x44363))))))) % 197.39/197.41 [4438]E(f341(a128,f341(f341(f192(a881),f341(f194(f883(x44381)),x44382)),f341(f147(a881,f883(x44383),f341(f9(f883(x44383),a881,a881),f341(f341(f10(a881,f889(a881,a881),f883(x44383)),f192(a881)),f341(f341(f9(f883(x44383),a881,a881),f341(f341(f10(a881,f889(a881,a881),f883(x44383)),f3(a881)),f194(f883(x44383)))),f341(a128,f2(a881))))),f2(a881)),f341(f173(f883(x44383)),f341(f141(f883(x44383),f341(f341(f10(a874,a874,f883(x44383)),a336),f341(f341(f9(f883(x44383),f883(x44383),a874),a338),f129(x44383)))),x44384))))),f341(f341(f192(a881),f341(a128,f341(f194(f883(x44381)),x44382))),f341(f147(a881,f883(x44383),f341(f9(f883(x44383),a881,a881),f341(f341(f10(a881,f889(a881,a881),f883(x44383)),f192(a881)),f194(f883(x44383)))),f2(a881)),f341(f173(f883(x44383)),x44384)))) % 197.39/197.41 [4388]E(f341(f341(f137(x43881),f178(x43881,x43882,x43883)),f178(x43881,x43884,f341(f267(a881),f341(f341(f9(a881,f889(a881,a874),a874),f341(f341(f10(a881,f889(f889(a881,a874),a874),a881),f344(a881)),f341(f341(f9(a881,a881,a881),f91(a881)),f341(f194(f883(x43881)),x43882)))),x43883)))),f178(x43881,f341(f341(f137(x43881),x43882),x43884),x43883)) % 197.39/197.41 [4439]E(f39(f889(x44391,a874),f341(f267(f889(x44391,a874)),f341(f341(f10(f889(x44392,a874),a874,f889(x44391,a874)),f98(x44392)),f341(f341(f10(f889(x44392,a874),f889(x44392,a874),f889(x44391,a874)),f341(f20(x44392,a874,a874),f341(f341(f10(a874,f889(a874,a874),x44392),a339),f341(f341(f9(x44392,f889(x44392,a874),a874),f344(x44392)),x44393)))),f341(f341(f9(f889(x44391,a874),f889(x44392,f889(x44391,a874)),f889(x44392,a874)),f341(f341(f10(f889(f889(x44391,a874),a874),f889(f889(x44392,f889(x44391,a874)),f889(x44392,a874)),f889(x44391,a874)),f10(f889(x44391,a874),a874,x44392)),a338)),x44394))))),f341(f341(f42(x44392,f889(x44391,a874)),x44393),x44394)) % 197.39/197.41 [4440]E(f40(f889(x44401,a874),f341(f267(f889(x44401,a874)),f341(f341(f10(f889(x44402,a874),a874,f889(x44401,a874)),f98(x44402)),f341(f341(f10(f889(x44402,a874),f889(x44402,a874),f889(x44401,a874)),f341(f20(x44402,a874,a874),f341(f341(f10(a874,f889(a874,a874),x44402),a339),f341(f341(f9(x44402,f889(x44402,a874),a874),f344(x44402)),x44403)))),f341(f341(f9(f889(x44401,a874),f889(x44402,f889(x44401,a874)),f889(x44402,a874)),f341(f341(f10(f889(f889(x44401,a874),a874),f889(f889(x44402,f889(x44401,a874)),f889(x44402,a874)),f889(x44401,a874)),f10(f889(x44401,a874),a874,x44402)),a338)),x44404))))),f341(f341(f43(x44402,f889(x44401,a874)),x44403),x44404)) % 197.39/197.41 [4449]E(f341(f341(f156(f883(x44491)),f341(f341(f156(x44491),x44492),f341(f147(f883(x44491),f883(x44491),f137(x44491),f129(x44491)),f341(f341(f159(f883(x44491),f883(x44491)),f161(f883(x44491),x44491,f129(x44491),f341(f341(f10(f883(x44491),f889(f883(x44491),f883(x44491)),x44491),f18(f883(x44491),f883(x44491))),f341(f341(f9(x44491,f883(x44491),f883(x44491)),f156(x44491)),f129(x44491))))),x44493)))),f182(x44491,f341(f341(f156(f883(x44491)),x44494),f341(f147(f883(f883(x44491)),f883(f883(x44491)),f137(f883(x44491)),f129(f883(x44491))),f341(f341(f159(f883(x44491),f883(f883(x44491))),f161(f883(f883(x44491)),x44491,f129(f883(x44491)),f341(f18(f889(f883(x44491),f883(f883(x44491))),x44491),f341(f341(f9(f883(x44491),f883(f883(x44491)),f883(f883(x44491))),f156(f883(x44491))),f129(f883(x44491)))))),x44493))))),f182(x44491,f341(f341(f156(f883(x44491)),f341(f341(f156(x44491),x44492),x44494)),x44493))) % 197.39/197.41 [4458]E(f341(f267(f888(x44581,x44581)),f341(f262(x44581,x44581,a874),f341(f341(f9(x44581,f889(f888(x44582,x44582),a874),f889(x44581,a874)),f341(f341(f10(f889(x44581,f889(f889(f888(x44582,x44582),a874),a874)),f889(f889(f888(x44582,x44582),a874),f889(x44581,a874)),x44581),f9(x44581,f889(f888(x44582,x44582),a874),a874)),f341(f341(f10(f889(x44581,f888(x44582,x44582)),f889(x44581,f889(f889(f888(x44582,x44582),a874),a874)),x44581),f341(f10(f888(x44582,x44582),f889(f889(f888(x44582,x44582),a874),a874),x44581),f344(f888(x44582,x44582)))),f341(f341(f9(x44581,f889(x44581,x44582),f889(x44581,f888(x44582,x44582))),f341(f341(f10(f889(x44582,f888(x44582,x44582)),f889(f889(x44581,x44582),f889(x44581,f888(x44582,x44582))),x44581),f10(x44582,f888(x44582,x44582),x44581)),f341(f341(f10(x44582,f889(x44582,f888(x44582,x44582)),x44581),f257(x44582,x44582)),x44583))),x44583)))),x44584))),f341(f341(f295(x44582,x44581),x44584),x44583)) % 197.39/197.41 [4516]~E(f33(x45161,x45162),f30(x45163,x45164,x45165)) % 197.39/197.41 [4517]~E(f33(x45171,x45172),f29(x45173,x45174,x45175)) % 197.39/197.41 [4518]~E(f33(x45181,x45182),f28(x45183,x45184,x45185)) % 197.39/197.41 [4519]~E(f32(x45191,x45192),f30(x45193,x45194,x45195)) % 197.39/197.41 [4520]~E(f32(x45201,x45202),f29(x45203,x45204,x45205)) % 197.39/197.41 [4521]~E(f32(x45211,x45212),f28(x45213,x45214,x45215)) % 197.39/197.41 [4522]~E(f30(x45221,x45222,x45223),f33(x45224,x45225)) % 197.39/197.41 [4523]~E(f30(x45231,x45232,x45233),f32(x45234,x45235)) % 197.39/197.41 [4524]~E(f29(x45241,x45242,x45243),f33(x45244,x45245)) % 197.39/197.41 [4525]~E(f29(x45251,x45252,x45253),f32(x45254,x45255)) % 197.39/197.41 [4526]~E(f28(x45261,x45262,x45263),f33(x45264,x45265)) % 197.39/197.41 [4527]~E(f28(x45271,x45272,x45273),f32(x45274,x45275)) % 197.39/197.41 [4145]E(f341(f84(x41451,x41452,x41453,x41454,x41455),x41454),x41455) % 197.39/197.41 [4197]E(f258(x41971,x41972,x41973,f250(x41972,x41971,x41974),f250(x41973,x41972,x41975)),f250(x41973,x41971,f258(x41973,x41972,x41971,x41975,x41974))) % 197.39/197.41 [4454]P1(f341(f341(f276(f889(x44541,x44542),f889(x44541,x44542),f889(f889(x44543,x44541),f889(x44543,x44542)),f889(f889(x44544,x44541),f889(x44544,x44542)),a338,f276(f889(x44543,x44541),f889(x44544,x44541),f889(x44543,x44542),f889(x44544,x44542),f276(x44543,x44544,x44541,x44541,x44545,a338),f276(x44543,x44544,x44542,x44542,x44545,a338))),f82(x44541,x44542,x44543)),f82(x44541,x44542,x44544))) % 197.39/197.41 [3775]E(f341(f341(f262(x37751,x37752,x37753),x37754),x37755),f341(f341(x37754,f341(f256(x37751,x37752),x37755)),f341(f261(x37751,x37752),x37755))) % 197.39/197.41 [3804]E(f341(f341(f341(f75(x38041,x38042,x38043),x38044),x38045),f193(f889(x38042,a874))),x38045) % 197.39/197.41 [4009]E(f326(x40091,x40092,x40093,x40094,f341(f323(x40092,x40091),x40095)),f341(f341(f91(a881),f341(x40094,x40095)),f341(a128,f2(a881)))) % 197.39/197.41 [4010]E(f326(x40101,x40102,x40103,x40104,f341(f319(x40101,x40102),x40105)),f341(f341(f91(a881),f341(x40103,x40105)),f341(a128,f2(a881)))) % 197.39/197.41 [4195]E(f341(f341(f91(a881),f341(f341(f91(a881),f341(x41951,f341(f256(x41952,x41953),x41954))),f341(x41955,f341(f261(x41952,x41953),x41954)))),f341(a128,f2(a881))),f266(x41952,x41953,x41951,x41955,x41954)) % 197.39/197.41 [4557]~E(f341(f49(x45571,x45572),x45573),f341(f341(f54(x45571,x45572),x45574),x45575)) % 197.39/197.41 [4558]~E(f341(f48(x45581,x45582),x45583),f341(f341(f54(x45581,x45582),x45584),x45585)) % 197.39/197.41 [4559]~E(f341(f341(f54(x45591,x45592),x45593),x45594),f341(f49(x45591,x45592),x45595)) % 197.39/197.41 [4560]~E(f341(f341(f54(x45601,x45602),x45603),x45604),f341(f48(x45601,x45602),x45605)) % 197.39/197.41 [3713]E(f341(f341(f177(x37131),x37132),f341(f341(f159(x37133,x37131),x37134),x37135)),f341(f341(f159(x37133,x37131),x37134),f341(f341(f177(x37133),x37132),x37135))) % 197.39/197.41 [3714]E(f341(f341(f143(x37141),x37142),f341(f341(f159(x37143,x37141),x37144),x37145)),f341(f341(f159(x37143,x37141),x37144),f341(f341(f143(x37143),x37142),x37145))) % 197.39/197.41 [3746]E(f341(f341(f317(x37461,x37462),x37463),f341(f341(f318(x37461),x37464),x37465)),f341(f341(f318(x37462),f341(x37463,x37464)),f341(f341(f317(x37461,x37462),x37463),x37465))) % 197.39/197.41 [3747]E(f341(f341(f159(x37471,x37472),x37473),f341(f341(f156(x37471),x37474),x37475)),f341(f341(f156(x37472),f341(x37473,x37474)),f341(f341(f159(x37471,x37472),x37473),x37475))) % 197.39/197.41 [3867]E(f341(f341(f184(x38671,x38672),f341(f341(f177(x38671),x38673),x38674)),f341(f341(f177(x38672),x38673),x38675)),f341(f341(f177(f888(x38671,x38672)),x38673),f341(f341(f184(x38671,x38672),x38674),x38675))) % 197.39/197.41 [3868]E(f341(f341(f184(x38681,x38682),f341(f341(f143(x38681),x38683),x38684)),f341(f341(f143(x38682),x38683),x38685)),f341(f341(f143(f888(x38681,x38682)),x38683),f341(f341(f184(x38681,x38682),x38684),x38685))) % 197.39/197.41 [3877]E(f341(f341(f164(x38771,f341(f341(f156(x38771),x38772),x38773)),f341(a128,x38774)),x38775),f341(f341(f156(x38771),x38772),f341(f341(f164(x38771,x38773),x38774),x38775))) % 197.39/197.41 [3879]E(f160(x38791,x38792,f341(f341(f159(x38793,x38791),x38794),x38795)),f160(x38793,f341(f341(f82(x38791,a881,x38793),x38792),x38794),x38795)) % 197.39/197.41 [3882]E(f341(f341(f137(x38821),f341(f341(f159(x38822,x38821),x38823),x38824)),f341(f341(f159(x38822,x38821),x38823),x38825)),f341(f341(f159(x38822,x38821),x38823),f341(f341(f137(x38822),x38824),x38825))) % 197.39/197.41 [3886]E(f341(f341(x38861,x38862),f341(f341(f252(x38863,x38864,x38861),x38862),x38865)),f341(f341(f252(x38863,x38864,x38861),x38862),f341(a128,x38865))) % 197.39/197.41 [3910]E(f168(x39101,x39102,x39103,f341(f341(f156(x39101),x39104),x39105)),f341(f341(f137(x39102),f341(x39103,x39104)),f168(x39101,x39102,x39103,x39105))) % 197.39/197.41 [3921]E(f341(f341(f296(x39211,x39212,x39213),f341(f293(x39212,x39211),x39214)),f341(f293(x39213,x39212),x39215)),f341(f293(x39213,x39211),f341(f341(f296(x39213,x39212,x39211),x39215),x39214))) % 197.39/197.41 [3938]E(f341(f341(f82(f883(x39381),f883(x39382),f883(x39383)),f341(f159(x39381,x39382),x39384)),f341(f159(x39383,x39381),x39385)),f341(f159(x39383,x39382),f341(f341(f82(x39381,x39382,x39383),x39384),x39385))) % 197.39/197.41 [3955]E(f341(f341(f341(f186(f883(x39551),f883(x39551)),x39552),f172(x39551)),f341(f341(f159(x39553,x39551),x39554),x39555)),f341(f341(f159(x39553,x39551),x39554),f341(f341(f341(f186(f883(x39553),f883(x39553)),x39552),f172(x39553)),x39555))) % 197.39/197.41 [3956]E(f341(f341(f264(x39561,x39562,x39561,x39563),f341(f257(x39562,x39561),x39564)),x39565),f341(x39565,x39564)) % 197.39/197.41 [3959]E(f180(f888(x39591,x39592),f341(f341(f82(x39592,a874,f888(x39591,x39592)),x39593),f261(x39591,x39592)),f341(f341(f184(x39591,x39592),x39594),x39595)),f341(f341(f184(x39591,x39592),x39594),f180(x39592,x39593,x39595))) % 197.39/197.41 [3983]E(f180(f888(x39831,x39832),f341(f341(f82(x39831,a874,f888(x39831,x39832)),x39833),f256(x39831,x39832)),f341(f341(f184(x39831,x39832),x39834),x39835)),f341(f341(f184(x39831,x39832),f180(x39831,x39833,x39834)),x39835)) % 197.39/197.41 [4044]E(f341(f341(f317(x40441,x40442),f341(f341(f10(x40443,x40442,x40441),x40444),x40445)),f249(f889(x40441,a874))),f341(f341(f317(x40443,x40442),x40444),f341(f341(f317(x40441,x40443),x40445),f249(f889(x40441,a874))))) % 197.39/197.41 [4088]E(f341(f341(f125(f889(x40881,a874)),f341(f320(x40881,x40882,x40883),f341(f341(f318(x40882),x40884),f193(f889(x40882,a874))))),f341(f320(x40881,x40882,x40883),x40885)),f341(f320(x40881,x40882,x40883),f341(f341(f318(x40882),x40884),x40885))) % 197.39/197.41 [4144]E(f341(f341(f137(f888(x41441,x41442)),f341(f341(f159(x41442,f888(x41441,x41442)),f341(f257(x41441,x41442),x41443)),x41444)),f70(x41441,x41442,x41445,x41444)),f70(x41441,x41442,f341(f341(f156(x41441),x41443),x41445),x41444)) % 197.39/197.41 [4151]E(f341(f147(x41511,x41512,f341(f9(x41512,x41511,x41511),f341(f9(x41511,x41512,x41511),x41513)),x41514),f341(f173(x41512),f341(f173(x41512),x41515))),f341(f147(x41511,x41512,x41513,x41514),x41515)) % 197.39/197.41 [4160]E(f341(f327(x41601,x41602,x41603,f341(f18(x41602,x41601),x41604),f341(f18(x41602,x41603),x41604)),x41605),x41604) % 197.39/197.41 [4258]P1(f341(f341(f241(f889(x42581,a874)),f341(f292(x42582,x42581,x42583),f341(f341(f126(f889(x42582,a874)),x42584),x42585))),f341(f341(f126(f889(x42581,a874)),f341(f292(x42582,x42581,x42583),x42584)),f341(f292(x42582,x42581,x42583),x42585)))) % 197.39/197.41 [4359]E(f341(f261(x43591,x43592),f341(f263(x43593,x43591,x43592,x43592,x43594,f34(x43592)),x43595)),f341(f261(x43593,x43592),x43595)) % 197.39/197.41 [4360]E(f341(f256(x43601,x43602),f341(f263(x43601,x43601,x43603,x43602,f34(x43601),x43604),x43605)),f341(f256(x43601,x43603),x43605)) % 197.39/197.41 [3560]E(f341(f341(f341(f341(f210(x35601),x35602),x35603),x35604),x35605),f197(x35601,x35602)) % 197.39/197.41 [3561]E(f341(f341(f341(f341(f214(x35611),x35612),x35613),x35614),x35615),f206(x35611,x35612)) % 197.39/197.41 [3605]E(f108(x36051,x36052,f341(f341(f341(f103(x36051),x36053),x36054),x36055)),f2(a881)) % 197.39/197.41 [3911]E(f341(f341(f42(x39111,f889(x39112,a874)),f341(f341(f318(x39111),x39113),x39114)),x39115),f341(f341(f125(f889(x39112,a874)),f341(x39115,x39113)),f341(f341(f42(x39111,f889(x39112,a874)),x39114),x39115))) % 197.39/197.41 [3912]E(f341(f341(f43(x39121,f889(x39122,a874)),f341(f341(f318(x39121),x39123),x39124)),x39125),f341(f341(f126(f889(x39122,a874)),f341(x39125,x39123)),f341(f341(f43(x39121,f889(x39122,a874)),x39124),x39125))) % 197.39/197.41 [3931]E(f341(f341(f125(f889(x39311,a874)),f341(f341(f317(x39312,x39311),x39313),x39314)),f341(f341(f317(x39312,x39311),x39313),x39315)),f341(f341(f317(x39312,x39311),x39313),f341(f341(f125(f889(x39312,a874)),x39314),x39315))) % 197.39/197.41 [3964]E(f341(f132(x39641,x39642,f341(x39643,x39644)),f341(f341(f9(x39641,a115,f882(x39642)),x39645),x39644)),f341(f204(x39641,x39642,x39643,x39645),x39644)) % 197.39/197.41 [3977]E(f341(f341(f125(f889(x39771,a874)),f341(f292(x39772,x39771,x39773),x39774)),f341(f292(x39772,x39771,x39773),x39775)),f341(f292(x39772,x39771,x39773),f341(f341(f125(f889(x39772,a874)),x39774),x39775))) % 197.39/197.41 [3978]E(f341(f341(f3(f889(x39781,a874)),f341(f320(x39781,x39782,x39783),x39784)),f341(f320(x39781,x39782,x39783),x39785)),f341(f320(x39781,x39782,x39783),f341(f341(f3(f889(x39782,a874)),x39784),x39785))) % 197.39/197.41 [3979]E(f341(f341(f125(f889(x39791,a874)),f341(f320(x39791,x39792,x39793),x39794)),f341(f320(x39791,x39792,x39793),x39795)),f341(f320(x39791,x39792,x39793),f341(f341(f125(f889(x39792,a874)),x39794),x39795))) % 197.39/197.41 [3980]E(f341(f341(f126(f889(x39801,a874)),f341(f320(x39801,x39802,x39803),x39804)),f341(f320(x39801,x39802,x39803),x39805)),f341(f320(x39801,x39802,x39803),f341(f341(f126(f889(x39802,a874)),x39804),x39805))) % 197.39/197.41 [4018]E(f341(f341(f159(x40181,x40182),x40183),f180(x40181,f341(f341(f82(x40182,a874,x40181),x40184),x40183),x40185)),f180(x40182,x40184,f341(f341(f159(x40181,x40182),x40183),x40185))) % 197.39/197.41 [4053]E(f341(f341(f164(x40531,f341(f341(f137(x40531),x40532),f341(f341(f156(x40531),x40533),x40534))),f341(f194(f883(x40531)),x40532)),x40535),f341(f341(f137(x40531),x40532),f341(f341(f156(x40531),x40535),x40534))) % 197.39/197.41 [4059]E(f341(f341(f43(x40591,f889(x40592,a874)),x40593),f341(f341(f10(f889(x40592,a874),f889(x40592,a874),x40591),f341(f318(x40592),x40594)),x40595)),f341(f341(f318(x40592),x40594),f341(f341(f43(x40591,f889(x40592,a874)),x40593),x40595))) % 197.39/197.41 [4191]E(f341(f341(f42(x41911,f889(f879(x41912,x41913),a874)),f249(f889(x41911,a874))),f341(f341(f10(f889(f879(x41912,x41913),a874),f889(f879(x41912,x41913),a874),x41911),f341(f54(x41912,x41913),x41914)),x41915)),f341(f341(f54(x41912,x41913),x41914),f341(f341(f42(x41911,f889(f879(x41912,x41913),a874)),f249(f889(x41911,a874))),x41915))) % 197.39/197.41 [4244]P1(f341(f341(f241(f889(x42441,a874)),f341(f341(f317(x42442,x42441),x42443),f341(f341(f126(f889(x42442,a874)),x42444),x42445))),f341(f341(f126(f889(x42441,a874)),f341(f341(f317(x42442,x42441),x42443),x42444)),f341(f341(f317(x42442,x42441),x42443),x42445)))) % 197.39/197.41 [4428]E(f341(f161(f883(f888(x44281,x44282)),x44282,f129(f888(x44281,x44282)),f341(f341(f9(x44282,f889(f883(x44282),f883(f888(x44281,x44282))),f889(f883(x44282),f883(f888(x44281,x44282)))),f341(f341(f10(f889(f883(f888(x44281,x44282)),f883(f888(x44281,x44282))),f889(f889(f883(x44282),f883(f888(x44281,x44282))),f889(f883(x44282),f883(f888(x44281,x44282)))),x44282),f10(f883(f888(x44281,x44282)),f883(f888(x44281,x44282)),f883(x44282))),f341(f341(f10(f888(x44281,x44282),f889(f883(f888(x44281,x44282)),f883(f888(x44281,x44282))),x44282),f156(f888(x44281,x44282))),f341(f257(x44281,x44282),x44283)))),f341(f184(x44281,x44282),x44284))),x44285),f341(f341(f184(x44281,x44282),f341(f341(f156(x44281),x44283),x44284)),x44285)) % 197.39/197.41 [3905]E(f341(f341(f164(x39051,f341(f341(f164(x39051,x39052),x39053),x39054)),x39053),x39055),f341(f341(f164(x39051,x39052),x39053),x39055)) % 197.39/197.41 [3957]E(f341(f270(x39571,x39572),f341(f341(f318(f888(x39571,x39572)),f341(f341(f257(x39571,x39572),x39573),x39574)),x39575)),f341(f341(f318(x39572),x39574),f341(f270(x39571,x39572),x39575))) % 197.39/197.41 [3958]E(f341(f272(x39581,x39582),f341(f341(f318(f888(x39581,x39582)),f341(f341(f257(x39581,x39582),x39583),x39584)),x39585)),f341(f341(f318(x39581),x39583),f341(f272(x39581,x39582),x39585))) % 197.39/197.41 [4016]E(f135(x40161,x40162,f341(x40163,x40164),f341(f341(f9(x40161,a115,f882(f885(x40162))),x40165),x40164)),f341(f202(x40161,x40162,x40163,x40165),x40164)) % 197.39/197.41 [4046]E(f341(f341(f3(f889(f888(x40461,x40462),a874)),f341(f341(f259(x40461,x40462),x40463),x40464)),f341(f341(f259(x40461,x40462),x40465),x40464)),f341(f341(f259(x40461,x40462),f341(f341(f3(f889(x40461,a874)),x40463),x40465)),x40464)) % 197.39/197.41 [4047]E(f341(f341(f125(f889(f888(x40471,x40472),a874)),f341(f341(f259(x40471,x40472),x40473),x40474)),f341(f341(f259(x40471,x40472),x40475),x40474)),f341(f341(f259(x40471,x40472),f341(f341(f125(f889(x40471,a874)),x40473),x40475)),x40474)) % 197.39/197.41 [4048]E(f341(f341(f126(f889(f888(x40481,x40482),a874)),f341(f341(f259(x40481,x40482),x40483),x40484)),f341(f341(f259(x40481,x40482),x40485),x40484)),f341(f341(f259(x40481,x40482),f341(f341(f126(f889(x40481,a874)),x40483),x40485)),x40484)) % 197.39/197.41 [4096]E(f341(f341(f125(f889(x40961,a874)),f341(f341(f42(x40962,f889(x40961,a874)),x40963),x40964)),f341(f341(f42(x40962,f889(x40961,a874)),x40965),x40964)),f341(f341(f42(x40962,f889(x40961,a874)),f341(f341(f125(f889(x40962,a874)),x40963),x40965)),x40964)) % 197.39/197.41 [4097]E(f341(f341(f126(f889(x40971,a874)),f341(f341(f43(x40972,f889(x40971,a874)),x40973),x40974)),f341(f341(f43(x40972,f889(x40971,a874)),x40975),x40974)),f341(f341(f43(x40972,f889(x40971,a874)),f341(f341(f125(f889(x40972,a874)),x40973),x40975)),x40974)) % 197.39/197.41 [4113]E(f341(f341(f42(x41131,f889(x41132,a874)),x41133),f341(f341(f10(f889(x41132,a874),f889(x41132,a874),x41131),f341(f3(f889(x41132,a874)),x41134)),x41135)),f341(f341(f3(f889(x41132,a874)),x41134),f341(f341(f43(x41131,f889(x41132,a874)),x41133),x41135))) % 197.39/197.41 [4114]E(f341(f341(f42(x41141,f889(x41142,a874)),x41143),f341(f341(f10(f889(x41142,a874),f889(x41142,a874),x41141),f341(f126(f889(x41142,a874)),x41144)),x41145)),f341(f341(f126(f889(x41142,a874)),x41144),f341(f341(f42(x41141,f889(x41142,a874)),x41143),x41145))) % 197.39/197.41 [4115]E(f341(f341(f43(x41151,f889(x41152,a874)),x41153),f341(f341(f10(f889(x41152,a874),f889(x41152,a874),x41151),f341(f125(f889(x41152,a874)),x41154)),x41155)),f341(f341(f125(f889(x41152,a874)),x41154),f341(f341(f43(x41151,f889(x41152,a874)),x41153),x41155))) % 197.39/197.41 [4141]E(f341(f341(f159(x41411,x41412),x41413),f341(f141(x41411,f341(f341(f82(x41412,a874,x41411),x41414),x41413)),x41415)),f341(f141(x41412,x41414),f341(f341(f159(x41411,x41412),x41413),x41415))) % 197.39/197.41 [4150]E(f341(f194(f883(x41501)),f341(f141(x41501,x41502),f341(f341(f159(x41503,x41501),x41504),x41505))),f341(f194(f883(x41503)),f341(f141(x41503,f341(f341(f82(x41501,a874,x41503),x41502),x41504)),x41505))) % 197.39/197.41 [4175]E(f341(f341(f42(x41751,f889(f888(x41752,x41753),a874)),x41754),f341(f341(f10(f889(f888(x41753,x41752),a874),f889(f888(x41752,x41753),a874),x41751),f293(x41753,x41752)),x41755)),f341(f293(x41753,x41752),f341(f341(f42(x41751,f889(f888(x41753,x41752),a874)),x41754),x41755))) % 197.39/197.41 [4176]E(f341(f341(f43(x41761,f889(f888(x41762,x41763),a874)),x41764),f341(f341(f10(f889(f888(x41763,x41762),a874),f889(f888(x41762,x41763),a874),x41761),f293(x41763,x41762)),x41765)),f341(f293(x41763,x41762),f341(f341(f43(x41761,f889(f888(x41763,x41762),a874)),x41764),x41765))) % 197.39/197.41 [4217]E(f341(f341(f341(f187(f883(x42171)),f341(f341(f156(x42171),x42172),x42173)),f341(f341(f10(f883(x42171),f883(x42171),a881),f341(f156(x42171),x42174)),f341(f341(f9(a881,x42171,f883(x42171)),f164(x42171,x42173)),x42172))),x42175),f341(f341(f164(x42171,f341(f341(f156(x42171),x42174),x42173)),x42175),x42172)) % 197.39/197.41 [4262]P1(f341(f341(f241(f889(x42621,a874)),f341(f341(f3(f889(x42621,a874)),f341(f341(f317(x42622,x42621),x42623),x42624)),f341(f341(f317(x42622,x42621),x42623),x42625))),f341(f341(f317(x42622,x42621),x42623),f341(f341(f3(f889(x42622,a874)),x42624),x42625)))) % 197.39/197.41 [4348]E(f341(f341(f42(x43481,f889(f879(x43482,x43483),a874)),f249(f889(x43481,a874))),f341(f341(f9(x43481,f889(f879(x43482,x43483),a874),f889(f879(x43482,x43483),a874)),f341(f341(f10(f889(f879(x43482,x43483),a874),f889(f889(f879(x43482,x43483),a874),f889(f879(x43482,x43483),a874)),x43481),f54(x43482,x43483)),x43484)),x43485)),f341(f341(f54(x43482,x43483),f341(f341(f42(x43481,f889(f879(x43482,x43483),a874)),f249(f889(x43481,a874))),x43484)),x43485)) % 197.39/197.41 [4431]E(f341(f161(f883(f888(x44311,x44312)),x44311,f129(f888(x44311,x44312)),f341(f341(f9(x44311,f889(f883(x44311),f883(f888(x44311,x44312))),f889(f883(x44311),f883(f888(x44311,x44312)))),f341(f341(f10(f889(f883(f888(x44311,x44312)),f883(f888(x44311,x44312))),f889(f889(f883(x44311),f883(f888(x44311,x44312))),f889(f883(x44311),f883(f888(x44311,x44312)))),x44311),f10(f883(f888(x44311,x44312)),f883(f888(x44311,x44312)),f883(x44311))),f341(f341(f10(f888(x44311,x44312),f889(f883(f888(x44311,x44312)),f883(f888(x44311,x44312))),x44311),f156(f888(x44311,x44312))),f341(f341(f9(x44311,x44312,f888(x44311,x44312)),f257(x44311,x44312)),x44313)))),f341(f341(f9(f883(x44311),f883(x44312),f883(f888(x44311,x44312))),f184(x44311,x44312)),x44314))),x44315),f341(f341(f184(x44311,x44312),x44315),f341(f341(f156(x44312),x44313),x44314))) % 197.39/197.41 [4143]E(f341(f341(f125(f889(x41431,a874)),f341(f292(x41432,x41431,x41433),x41434)),f341(f292(x41432,x41431,x41435),x41434)),f341(f292(x41432,x41431,f341(f341(f125(f889(f888(x41432,x41431),a874)),x41433),x41435)),x41434)) % 197.39/197.41 [4179]E(f341(f341(f137(f888(x41791,x41792)),f341(f341(f184(x41791,x41792),x41793),f341(f341(f177(x41792),f341(f194(f883(x41791)),x41793)),x41794))),f341(f341(f184(x41791,x41792),x41795),f341(f341(f143(x41792),f341(f194(f883(x41791)),x41793)),x41794))),f341(f341(f184(x41791,x41792),f341(f341(f137(x41791),x41793),x41795)),x41794)) % 197.39/197.41 [4284]E(f341(f341(f259(x42841,x42842),x42843),f341(f341(f20(x42841,f889(x42842,a874),f889(x42842,a874)),f341(f341(f10(f889(x42842,a874),f889(f889(x42842,a874),f889(x42842,a874)),x42841),f3(f889(x42842,a874))),x42844)),x42845)),f341(f341(f3(f889(f888(x42841,x42842),a874)),f341(f341(f259(x42841,x42842),x42843),x42844)),f341(f341(f259(x42841,x42842),x42843),x42845))) % 197.39/197.41 [4285]E(f341(f341(f259(x42851,x42852),x42853),f341(f341(f20(x42851,f889(x42852,a874),f889(x42852,a874)),f341(f341(f10(f889(x42852,a874),f889(f889(x42852,a874),f889(x42852,a874)),x42851),f125(f889(x42852,a874))),x42854)),x42855)),f341(f341(f125(f889(f888(x42851,x42852),a874)),f341(f341(f259(x42851,x42852),x42853),x42854)),f341(f341(f259(x42851,x42852),x42853),x42855))) % 197.39/197.41 [4286]E(f341(f341(f259(x42861,x42862),x42863),f341(f341(f20(x42861,f889(x42862,a874),f889(x42862,a874)),f341(f341(f10(f889(x42862,a874),f889(f889(x42862,a874),f889(x42862,a874)),x42861),f126(f889(x42862,a874))),x42864)),x42865)),f341(f341(f126(f889(f888(x42861,x42862),a874)),f341(f341(f259(x42861,x42862),x42863),x42864)),f341(f341(f259(x42861,x42862),x42863),x42865))) % 197.39/197.41 [4291]E(f341(f341(f42(x42911,f889(x42912,a874)),x42913),f341(f341(f9(x42911,f889(x42912,a874),f889(x42912,a874)),f341(f341(f10(f889(x42912,a874),f889(f889(x42912,a874),f889(x42912,a874)),x42911),f3(f889(x42912,a874))),x42914)),x42915)),f341(f341(f3(f889(x42912,a874)),f341(f341(f42(x42911,f889(x42912,a874)),x42913),x42914)),x42915)) % 197.39/197.41 [4292]E(f341(f341(f42(x42921,f889(x42922,a874)),x42923),f341(f341(f9(x42921,f889(x42922,a874),f889(x42922,a874)),f341(f341(f10(f889(x42922,a874),f889(f889(x42922,a874),f889(x42922,a874)),x42921),f126(f889(x42922,a874))),x42924)),x42925)),f341(f341(f126(f889(x42922,a874)),f341(f341(f42(x42921,f889(x42922,a874)),x42923),x42924)),x42925)) % 197.39/197.41 [4293]E(f341(f341(f43(x42931,f889(x42932,a874)),x42933),f341(f341(f9(x42931,f889(x42932,a874),f889(x42932,a874)),f341(f341(f10(f889(x42932,a874),f889(f889(x42932,a874),f889(x42932,a874)),x42931),f125(f889(x42932,a874))),x42934)),x42935)),f341(f341(f125(f889(x42932,a874)),f341(f341(f43(x42931,f889(x42932,a874)),x42933),x42934)),x42935)) % 197.39/197.41 [4297]E(f341(f341(f42(x42971,f889(x42972,a874)),x42973),f341(f341(f20(x42971,f889(x42972,a874),f889(x42972,a874)),f341(f341(f10(f889(x42972,a874),f889(f889(x42972,a874),f889(x42972,a874)),x42971),f125(f889(x42972,a874))),x42974)),x42975)),f341(f341(f125(f889(x42972,a874)),f341(f341(f42(x42971,f889(x42972,a874)),x42973),x42974)),f341(f341(f42(x42971,f889(x42972,a874)),x42973),x42975))) % 197.39/197.41 [4298]E(f341(f341(f43(x42981,f889(x42982,a874)),x42983),f341(f341(f20(x42981,f889(x42982,a874),f889(x42982,a874)),f341(f341(f10(f889(x42982,a874),f889(f889(x42982,a874),f889(x42982,a874)),x42981),f126(f889(x42982,a874))),x42984)),x42985)),f341(f341(f126(f889(x42982,a874)),f341(f341(f43(x42981,f889(x42982,a874)),x42983),x42984)),f341(f341(f43(x42981,f889(x42982,a874)),x42983),x42985))) % 197.39/197.41 [4312]E(f341(f341(f42(x43121,f889(x43122,a874)),x43123),f341(f341(f20(x43121,f889(x43122,a874),f889(x43122,a874)),f341(f341(f10(f889(x43122,a874),f889(f889(x43122,a874),f889(x43122,a874)),x43121),f125(f889(x43122,a874))),x43124)),x43125)),f341(f341(f125(f889(x43122,a874)),f39(f889(x43122,a874),f341(f341(f317(x43121,f889(x43122,a874)),x43124),x43123))),f39(f889(x43122,a874),f341(f341(f317(x43121,f889(x43122,a874)),x43125),x43123)))) % 197.39/197.41 [4313]E(f341(f341(f43(x43131,f889(x43132,a874)),x43133),f341(f341(f20(x43131,f889(x43132,a874),f889(x43132,a874)),f341(f341(f10(f889(x43132,a874),f889(f889(x43132,a874),f889(x43132,a874)),x43131),f126(f889(x43132,a874))),x43134)),x43135)),f341(f341(f126(f889(x43132,a874)),f40(f889(x43132,a874),f341(f341(f317(x43131,f889(x43132,a874)),x43134),x43133))),f40(f889(x43132,a874),f341(f341(f317(x43131,f889(x43132,a874)),x43135),x43133)))) % 197.39/197.41 [4214]E(f341(f341(f137(f888(x42141,x42142)),f341(f341(f184(x42141,x42142),f341(f341(f177(x42141),f341(f194(f883(x42142)),x42143)),x42144)),x42143)),f341(f341(f184(x42141,x42142),f341(f341(f143(x42141),f341(f194(f883(x42142)),x42143)),x42144)),x42145)),f341(f341(f184(x42141,x42142),x42144),f341(f341(f137(x42142),x42143),x42145))) % 197.39/197.41 [4318]E(f341(f341(f143(x43181),f341(f194(f883(x43181)),f180(x43181,x43182,f341(f341(f159(x43183,x43181),x43184),x43185)))),f341(f341(f159(x43183,x43181),x43184),x43185)),f341(f341(f159(x43183,x43181),x43184),f341(f341(f143(x43183),f341(f194(f883(x43183)),f180(x43183,f341(f341(f82(x43181,a874,x43183),x43182),x43184),x43185))),x43185))) % 197.39/197.41 [4342]E(f96(x43421,f341(f341(f20(x43421,a874,a874),f341(f341(f10(a874,f889(a874,a874),x43421),a339),f341(f341(f9(x43421,f889(x43421,a874),a874),f344(x43421)),x43422))),f341(f341(f9(x43421,x43423,a874),f341(f341(f10(x43423,f889(x43423,a874),x43421),a338),x43424)),x43425))),f341(f88(x43421,x43423,x43422,x43424),x43425)) % 197.39/197.41 [4386]E(f341(f341(f97(a1,x43861),f341(f118(a1),f341(f341(f91(a1),x43862),a100))),f341(f341(f20(a1,x43861,x43861),f341(f341(f9(a1,x43861,f889(x43861,x43861)),f341(f341(f10(a874,f889(x43861,f889(x43861,x43861)),a1),f111(x43861)),a198)),f341(f341(f341(f187(x43861),x43863),x43864),x43865))),f341(f341(f10(a881,x43861,a1),x43864),f341(f341(f9(a1,a881,a881),f341(f341(f10(a881,f889(a881,a881),a1),f91(a881)),a119)),x43865)))),f341(f341(f341(f187(x43861),x43863),x43864),f341(f341(f91(a881),f341(f118(a881),x43862)),x43865))) % 197.39/197.41 [4427]E(f341(f341(f97(a1,x44271),f341(f118(a1),f341(f341(f91(a1),x44272),a100))),f341(f341(f20(a1,x44271,x44271),f341(f341(f9(a1,x44271,f889(x44271,x44271)),f341(f341(f10(a874,f889(x44271,f889(x44271,x44271)),a1),f111(x44271)),a198)),f341(f188(x44271,x44273,x44274),x44275))),f341(f341(f20(a1,x44271,x44271),f341(f341(f10(a881,f889(x44271,x44271),a1),x44274),f341(f341(f9(a1,a881,a881),f341(f341(f10(a881,f889(a881,a881),a1),f91(a881)),a119)),x44275))),f341(f341(f10(a881,x44271,a1),f188(x44271,x44273,x44274)),f341(f341(f9(a1,a881,a881),f341(f341(f10(a881,f889(a881,a881),a1),f91(a881)),a119)),x44275))))),f341(f188(x44271,x44273,x44274),f341(f341(f91(a881),f341(f118(a881),x44272)),x44275))) % 197.39/197.41 [4466]E(f341(f267(f888(x44661,x44662)),f341(f262(x44661,x44662,a874),f341(f341(f10(f889(x44662,f889(x44663,a874)),f889(x44662,a874),x44661),f341(f10(f889(x44663,a874),a874,x44662),f98(x44663))),f341(f341(f9(x44661,f889(x44662,f889(x44663,a874)),f889(x44662,f889(x44663,a874))),f341(f341(f10(f889(f889(x44663,a874),f889(x44663,a874)),f889(f889(x44662,f889(x44663,a874)),f889(x44662,f889(x44663,a874))),x44661),f10(f889(x44663,a874),f889(x44663,a874),x44662)),f341(f341(f10(f889(x44663,f889(a874,a874)),f889(f889(x44663,a874),f889(x44663,a874)),x44661),f20(x44663,a874,a874)),f341(f341(f10(f889(x44663,a874),f889(x44663,f889(a874,a874)),x44661),f341(f10(a874,f889(a874,a874),x44663),a339)),f341(f341(f9(x44661,f889(f888(x44661,x44663),a874),f889(x44663,a874)),f341(f341(f10(f889(x44663,f889(f889(f888(x44661,x44663),a874),a874)),f889(f889(f888(x44661,x44663),a874),f889(x44663,a874)),x44661),f9(x44663,f889(f888(x44661,x44663),a874),a874)),f341(f341(f10(f889(x44663,f888(x44661,x44663)),f889(x44663,f889(f889(f888(x44661,x44663),a874),a874)),x44661),f341(f10(f888(x44661,x44663),f889(f889(f888(x44661,x44663),a874),a874),x44663),f344(f888(x44661,x44663)))),f257(x44661,x44663)))),x44664))))),f341(f341(f9(x44662,f889(f888(x44663,x44662),a874),f889(x44663,a874)),f341(f341(f10(f889(x44663,f889(f889(f888(x44663,x44662),a874),a874)),f889(f889(f888(x44663,x44662),a874),f889(x44663,a874)),x44662),f9(x44663,f889(f888(x44663,x44662),a874),a874)),f341(f341(f10(f889(x44663,f888(x44663,x44662)),f889(x44663,f889(f889(f888(x44663,x44662),a874),a874)),x44662),f341(f10(f888(x44663,x44662),f889(f889(f888(x44663,x44662),a874),a874),x44663),f344(f888(x44663,x44662)))),f341(f9(x44663,x44662,f888(x44663,x44662)),f257(x44663,x44662))))),x44665))))),f341(f341(f296(x44661,x44663,x44662),x44664),x44665)) % 197.39/197.41 [4464]E(f96(x44641,f341(f341(f10(f889(f889(f879(x44642,x44643),a874),a874),a874,x44641),f98(f889(f879(x44642,x44643),a874))),f341(f341(f10(f889(f889(f879(x44642,x44643),a874),f889(f889(f879(x44642,x44643),a874),a874)),f889(f889(f879(x44642,x44643),a874),a874),x44641),f341(f10(f889(f889(f879(x44642,x44643),a874),a874),a874,f889(f879(x44642,x44643),a874)),f98(f889(f879(x44642,x44643),a874)))),f341(f341(f10(f889(f889(f879(x44642,x44643),a874),f889(f889(f879(x44642,x44643),a874),a874)),f889(f889(f879(x44642,x44643),a874),f889(f889(f879(x44642,x44643),a874),a874)),x44641),f341(f20(f889(f879(x44642,x44643),a874),f889(f889(f879(x44642,x44643),a874),a874),f889(f889(f879(x44642,x44643),a874),a874)),f341(f341(f10(f889(f889(f879(x44642,x44643),a874),f889(a874,a874)),f889(f889(f889(f879(x44642,x44643),a874),a874),f889(f889(f879(x44642,x44643),a874),a874)),f889(f879(x44642,x44643),a874)),f20(f889(f879(x44642,x44643),a874),a874,a874)),f341(f341(f10(f889(f889(f879(x44642,x44643),a874),a874),f889(f889(f879(x44642,x44643),a874),f889(a874,a874)),f889(f879(x44642,x44643),a874)),f341(f10(a874,f889(a874,a874),f889(f879(x44642,x44643),a874)),a339)),f341(f341(f10(f889(f889(f879(x44642,x44643),a874),f889(f879(x44642,x44643),a874)),f889(f889(f879(x44642,x44643),a874),a874),f889(f879(x44642,x44643),a874)),f341(f10(f889(f879(x44642,x44643),a874),a874,f889(f879(x44642,x44643),a874)),f341(a338,x44644))),f54(x44642,x44643)))))),f341(f341(f9(x44641,f889(f889(f879(x44642,x44643),a874),f889(f889(f879(x44642,x44643),a874),x44641)),f889(f889(f879(x44642,x44643),a874),f889(f889(f879(x44642,x44643),a874),a874))),f341(f341(f10(f889(f889(f889(f879(x44642,x44643),a874),x44641),f889(f889(f879(x44642,x44643),a874),a874)),f889(f889(f889(f879(x44642,x44643),a874),f889(f889(f879(x44642,x44643),a874),x44641)),f889(f889(f879(x44642,x44643),a874),f889(f889(f879(x44642,x44643),a874),a874))),x44641),f10(f889(f889(f879(x44642,x44643),a874),x44641),f889(f889(f879(x44642,x44643),a874),a874),f889(f879(x44642,x44643),a874))),f341(f341(f10(f889(x44641,a874),f889(f889(f889(f879(x44642,x44643),a874),x44641),f889(f889(f879(x44642,x44643),a874),a874)),x44641),f10(x44641,a874,f889(f879(x44642,x44643),a874))),a338))),x44645))))),f55(x44642,x44643,x44641,x44645,x44644)) % 197.39/197.41 [4550]~E(f29(x45501,x45502,x45503),f30(x45504,x45505,x45506)) % 197.39/197.41 [4553]~E(f28(x45531,x45532,x45533),f30(x45534,x45535,x45536)) % 197.39/197.41 [4554]~E(f28(x45541,x45542,x45543),f29(x45544,x45545,x45546)) % 197.39/197.41 [4073]E(f233(x40731,x40732,x40733,x40734,f229(x40731,x40732,x40735,x40736)),f341(f341(x40734,x40735),x40736)) % 197.39/197.41 [4074]E(f234(x40741,x40742,x40743,x40744,f229(x40741,x40742,x40745,x40746)),f341(f341(x40744,x40745),x40746)) % 197.39/197.41 [4211]E(f84(x42111,x42112,f84(x42111,x42112,x42113,x42114,x42115),x42114,x42116),f84(x42111,x42112,x42113,x42114,x42116)) % 197.39/197.41 [4325]E(f341(f341(f82(f888(x43251,x43252),x43252,f888(x43253,x43254)),f261(x43251,x43252)),f263(x43253,x43251,x43254,x43252,x43255,x43256)),f341(f341(f82(x43254,x43252,f888(x43253,x43254)),x43256),f261(x43253,x43254))) % 197.39/197.41 [4326]E(f341(f341(f82(f888(x43261,x43262),x43261,f888(x43263,x43264)),f256(x43261,x43262)),f263(x43263,x43261,x43264,x43262,x43265,x43266)),f341(f341(f82(x43263,x43261,f888(x43263,x43264)),x43265),f256(x43263,x43264))) % 197.39/197.41 [4446]P1(f341(f341(f276(x44461,x44462,f889(f889(x44461,x44463),x44463),f889(f889(x44462,x44464),x44464),x44465,f276(f889(x44461,x44463),f889(x44462,x44464),x44463,x44464,f276(x44461,x44462,x44463,x44464,x44465,x44466),x44466)),f97(x44461,x44463)),f97(x44462,x44464))) % 197.39/197.41 [4129]E(f235(x41291,x41292,x41293,x41294,f229(x41291,x41292,x41295,x41296)),f341(f341(f91(a881),f341(f341(f91(a881),f341(x41293,x41295)),f341(x41294,x41296))),f341(a128,f2(a881)))) % 197.39/197.41 [4148]E(f341(f327(x41481,x41482,x41483,x41484,x41485),f341(f323(x41483,x41481),x41486)),f341(x41485,x41486)) % 197.39/197.41 [4149]E(f341(f327(x41491,x41492,x41493,x41494,x41495),f341(f319(x41491,x41493),x41496)),f341(x41494,x41496)) % 197.39/197.41 [4245]E(f328(x42451,x42452,x42453,x42454,x42455,f341(f323(x42453,x42451),x42456)),f341(x42455,x42456)) % 197.39/197.41 [4246]E(f328(x42461,x42462,x42463,x42464,x42465,f341(f319(x42461,x42463),x42466)),f341(x42464,x42466)) % 197.39/197.41 [3744]E(f341(f341(f262(x37441,x37442,x37443),x37444),f341(f341(f257(x37441,x37442),x37445),x37446)),f341(f341(x37444,x37445),x37446)) % 197.39/197.41 [3795]E(f341(f341(f341(f10(x37951,x37952,x37953),x37954),x37955),x37956),f341(x37954,f341(x37955,x37956))) % 197.39/197.41 [3797]E(f341(f341(f341(f82(x37971,x37972,x37973),x37974),x37975),x37976),f341(x37974,f341(x37975,x37976))) % 197.39/197.41 [3798]E(f341(f341(f341(f9(x37981,x37982,x37983),x37984),x37985),x37986),f341(f341(x37984,x37986),x37985)) % 197.39/197.41 [3814]E(f341(f341(f341(f20(x38141,x38142,x38143),x38144),x38145),x38146),f341(f341(x38144,x38146),f341(x38145,x38146))) % 197.39/197.41 [3838]E(f341(f161(x38381,x38382,x38383,x38384),f341(f341(f156(x38382),x38385),x38386)),f341(f341(x38384,x38385),x38386)) % 197.39/197.41 [3936]E(f341(f341(f156(f888(x39361,x39362)),f341(f341(f257(x39361,x39362),x39363),x39364)),f341(f341(f184(x39361,x39362),x39365),x39366)),f341(f341(f184(x39361,x39362),f341(f341(f156(x39361),x39363),x39365)),f341(f341(f156(x39362),x39364),x39366))) % 197.39/197.41 [3939]E(f341(f341(f159(x39391,x39392),x39393),f341(f341(f164(x39391,x39394),x39395),x39396)),f341(f341(f164(x39392,f341(f341(f159(x39391,x39392),x39393),x39394)),x39395),f341(x39393,x39396))) % 197.39/197.41 [3963]E(f341(f341(f260(x39631,x39632,x39633,x39634),x39635),x39636),f341(x39634,f341(f341(f257(x39631,x39632),x39635),x39636))) % 197.39/197.41 [3981]E(f341(f147(x39811,x39812,x39813,x39814),f341(f341(f156(x39812),x39815),x39816)),f341(f147(x39811,x39812,x39813,f341(f341(x39813,x39814),x39815)),x39816)) % 197.39/197.41 [4019]E(f265(x40191,x40192,x40193,x40194,f341(f341(f257(x40191,x40192),x40195),x40196)),f341(f341(x40194,x40195),x40196)) % 197.39/197.41 [4020]E(f55(x40201,x40202,x40203,x40204,f341(f341(f54(x40201,x40202),x40205),x40206)),f341(f341(x40204,x40205),x40206)) % 197.39/197.41 [4180]E(f341(f147(x41801,x41802,x41803,f341(f147(x41801,x41802,x41803,x41804),x41805)),x41806),f341(f147(x41801,x41802,x41803,x41804),f341(f341(f137(x41802),x41805),x41806))) % 197.39/197.41 [4320]E(f341(f263(x43201,x43201,x43202,x43203,f34(x43201),x43204),f341(f341(f257(x43201,x43202),x43205),x43206)),f341(f341(f257(x43201,x43203),x43205),f341(x43204,x43206))) % 197.39/197.41 [4321]E(f341(f263(x43211,x43212,x43213,x43213,x43214,f34(x43213)),f341(f341(f257(x43211,x43213),x43215),x43216)),f341(f341(f257(x43212,x43213),f341(x43214,x43215)),x43216)) % 197.39/197.41 [4410]E(f341(f341(f159(f888(x44101,x44102),f888(x44101,x44103)),f341(f262(x44101,x44102,f888(x44101,x44103)),f341(f341(f9(x44101,f889(x44102,x44103),f889(x44102,f888(x44101,x44103))),f341(f341(f10(f889(x44103,f888(x44101,x44103)),f889(f889(x44102,x44103),f889(x44102,f888(x44101,x44103))),x44101),f10(x44103,f888(x44101,x44103),x44102)),f257(x44101,x44103))),x44104))),f341(f341(f184(x44101,x44102),x44105),x44106)),f341(f341(f184(x44101,x44103),x44105),f341(f341(f159(x44102,x44103),x44104),x44106))) % 197.39/197.41 [3801]E(f109(x38011,x38012,x38013,f341(f341(f341(f103(x38011),x38014),x38015),x38016)),f341(f341(f341(x38013,x38014),x38015),x38016)) % 197.39/197.41 [3802]E(f110(x38021,x38022,x38023,f341(f341(f341(f103(x38021),x38024),x38025),x38026)),f341(f341(f341(x38023,x38024),x38025),x38026)) % 197.39/197.41 [3889]E(f341(f341(f341(f82(x38891,x38892,x38893),f341(f18(x38892,x38891),x38894)),x38895),x38896),x38894) % 197.39/197.41 [3998]E(f341(f341(f317(x39981,x39982),x39983),f341(f341(f317(x39984,x39981),x39985),x39986)),f341(f341(f317(x39984,x39982),f341(f341(f10(x39981,x39982,x39984),x39983),x39985)),x39986)) % 197.39/197.41 [4000]E(f341(f341(f159(x40001,x40002),x40003),f341(f341(f159(x40004,x40001),x40005),x40006)),f341(f341(f159(x40004,x40002),f341(f341(f82(x40001,x40002,x40004),x40003),x40005)),x40006)) % 197.39/197.41 [4001]E(f341(f341(f317(x40011,x40012),f341(f341(f82(x40013,x40012,x40011),x40014),x40015)),x40016),f341(f341(f317(x40013,x40012),x40014),f341(f341(f317(x40011,x40013),x40015),x40016))) % 197.39/197.41 [4011]E(f341(f341(f42(x40111,f889(x40112,a874)),f341(f341(f317(x40113,x40111),x40114),x40115)),x40116),f341(f341(f42(x40113,f889(x40112,a874)),x40115),f341(f341(f10(x40111,f889(x40112,a874),x40113),x40116),x40114))) % 197.39/197.41 [4012]E(f341(f341(f43(x40121,f889(x40122,a874)),f341(f341(f317(x40123,x40121),x40124),x40125)),x40126),f341(f341(f43(x40123,f889(x40122,a874)),x40125),f341(f341(f10(x40121,f889(x40122,a874),x40123),x40126),x40124))) % 197.39/197.41 [4013]E(f341(f341(f42(x40131,f889(x40132,a874)),x40133),f341(f341(f10(x40134,f889(x40132,a874),x40131),x40135),x40136)),f341(f341(f42(x40134,f889(x40132,a874)),f341(f341(f317(x40131,x40134),x40136),x40133)),x40135)) % 197.39/197.41 [4014]E(f341(f341(f42(x40141,f889(x40142,a874)),x40143),f341(f341(f82(x40144,f889(x40142,a874),x40141),x40145),x40146)),f341(f341(f42(x40144,f889(x40142,a874)),f341(f341(f317(x40141,x40144),x40146),x40143)),x40145)) % 197.39/197.41 [4015]E(f341(f341(f43(x40151,f889(x40152,a874)),x40153),f341(f341(f10(x40154,f889(x40152,a874),x40151),x40155),x40156)),f341(f341(f43(x40154,f889(x40152,a874)),f341(f341(f317(x40151,x40154),x40156),x40153)),x40155)) % 197.39/197.41 [4037]E(f341(f320(x40371,x40372,f341(f341(f82(x40373,x40372,x40371),x40374),x40375)),x40376),f341(f320(x40371,x40373,x40375),f341(f320(x40373,x40372,x40374),x40376))) % 197.39/197.41 [4082]E(f341(f341(f42(x40821,f889(x40822,a874)),x40823),f341(f341(f10(f889(x40824,a874),f889(x40822,a874),x40821),f341(f317(x40824,x40822),x40825)),x40826)),f341(f341(f317(x40824,x40822),x40825),f341(f341(f42(x40821,f889(x40824,a874)),x40823),x40826))) % 197.39/197.41 [4092]E(f341(f341(f42(x40921,f889(x40922,a874)),x40923),f341(f341(f10(f889(x40924,a874),f889(x40922,a874),x40921),f292(x40924,x40922,x40925)),x40926)),f341(f292(x40924,x40922,x40925),f341(f341(f42(x40921,f889(x40924,a874)),x40923),x40926))) % 197.39/197.41 [4093]E(f341(f341(f42(x40931,f889(x40932,a874)),x40933),f341(f341(f10(f889(x40934,a874),f889(x40932,a874),x40931),f320(x40932,x40934,x40935)),x40936)),f341(f320(x40932,x40934,x40935),f341(f341(f42(x40931,f889(x40934,a874)),x40933),x40936))) % 197.39/197.41 [4094]E(f341(f341(f43(x40941,f889(x40942,a874)),x40943),f341(f341(f10(f889(x40944,a874),f889(x40942,a874),x40941),f320(x40942,x40944,x40945)),x40946)),f341(f320(x40942,x40944,x40945),f341(f341(f43(x40941,f889(x40944,a874)),x40943),x40946))) % 197.39/197.41 [4183]E(f341(f147(x41831,x41832,f341(f9(x41832,x41831,x41831),x41833),x41834),f341(f173(x41832),f341(f341(f156(x41832),x41835),x41836))),f341(f341(x41833,x41835),f341(f147(x41831,x41832,f341(f9(x41832,x41831,x41831),x41833),x41834),f341(f173(x41832),x41836)))) % 197.39/197.41 [4247]E(f341(f341(f20(f888(x42471,x42472),x42472,x42473),f341(f341(f10(x42474,f889(x42472,x42473),f888(x42471,x42472)),x42475),f341(f341(f10(x42471,x42474,f888(x42471,x42472)),x42476),f256(x42471,x42472)))),f261(x42471,x42472)),f341(f262(x42471,x42472,x42473),f341(f341(f10(x42474,f889(x42472,x42473),x42471),x42475),x42476))) % 197.39/197.41 [4253]E(f341(f147(x42531,x42532,f341(f9(x42532,x42531,x42531),x42533),f341(f147(x42531,x42532,f341(f9(x42532,x42531,x42531),x42533),x42534),f341(f173(x42532),x42535))),f341(f173(x42532),x42536)),f341(f147(x42531,x42532,f341(f9(x42532,x42531,x42531),x42533),x42534),f341(f173(x42532),f341(f341(f137(x42532),x42536),x42535)))) % 197.39/197.41 [4255]E(f341(f341(f159(f888(x42551,x42552),f888(x42553,x42552)),f341(f262(x42551,x42552,f888(x42553,x42552)),f341(f341(f10(x42553,f889(x42552,f888(x42553,x42552)),x42551),f257(x42553,x42552)),x42554))),f341(f341(f184(x42551,x42552),x42555),x42556)),f341(f341(f184(x42553,x42552),f341(f341(f159(x42551,x42553),x42554),x42555)),x42556)) % 197.39/197.41 [4300]P1(f341(f341(f241(f889(x43001,a874)),f341(f292(x43002,x43001,x43003),f341(f341(f43(x43004,f889(x43002,a874)),x43005),x43006))),f341(f341(f43(x43004,f889(x43001,a874)),x43005),f341(f341(f10(f889(x43002,a874),f889(x43001,a874),x43004),f292(x43002,x43001,x43003)),x43006)))) % 197.39/197.41 [4105]E(f341(f341(f184(x41051,x41052),f341(f341(f164(x41051,x41053),x41054),f341(f256(x41051,x41052),x41055))),f341(f341(f164(x41052,x41056),x41054),f341(f261(x41051,x41052),x41055))),f341(f341(f164(f888(x41051,x41052),f341(f341(f184(x41051,x41052),x41053),x41056)),x41054),x41055)) % 197.39/197.41 [4167]E(f341(f341(f125(f889(f888(x41671,x41672),a874)),f341(f341(f296(x41671,x41673,x41672),x41674),x41675)),f341(f341(f296(x41671,x41673,x41672),x41674),x41676)),f341(f341(f296(x41671,x41673,x41672),x41674),f341(f341(f125(f889(f888(x41673,x41672),a874)),x41675),x41676))) % 197.39/197.41 [4264]E(f341(f341(f318(f888(x42641,x42642)),f341(f341(f257(x42641,x42642),x42643),x42644)),f341(f341(f125(f889(f888(x42641,x42642),a874)),f341(f341(f259(x42641,x42642),x42645),f341(f18(f889(x42642,a874),x42641),f341(f341(f318(x42642),x42644),x42646)))),f341(f341(f259(x42641,x42642),f341(f341(f318(x42641),x42643),x42645)),f341(f18(f889(x42642,a874),x42641),x42646)))),f341(f341(f259(x42641,x42642),f341(f341(f318(x42641),x42643),x42645)),f341(f18(f889(x42642,a874),x42641),f341(f341(f318(x42642),x42644),x42646)))) % 197.39/197.41 [4316]E(f341(f341(f126(f889(x43161,a874)),f341(f320(x43161,x43162,f341(f341(f82(f888(x43162,x43163),x43162,x43161),f256(x43162,x43163)),x43164)),x43165)),f341(f320(x43161,x43163,f341(f341(f82(f888(x43162,x43163),x43163,x43161),f261(x43162,x43163)),x43164)),x43166)),f341(f320(x43161,f888(x43162,x43163),x43164),f341(f341(f259(x43162,x43163),x43165),f341(f18(f889(x43163,a874),x43162),x43166)))) % 197.39/197.41 [4190]E(f341(f341(f125(f889(f888(x41901,x41902),a874)),f341(f341(f296(x41901,x41903,x41902),x41904),x41905)),f341(f341(f296(x41901,x41903,x41902),x41906),x41905)),f341(f341(f296(x41901,x41903,x41902),f341(f341(f125(f889(f888(x41901,x41903),a874)),x41904),x41906)),x41905)) % 197.39/197.41 [4330]E(f341(f341(f42(x43301,f889(x43302,a874)),x43303),f341(f341(f9(x43301,f889(x43304,f889(x43302,a874)),f889(x43302,a874)),f341(f341(f10(f889(x43304,a874),f889(f889(x43304,f889(x43302,a874)),f889(x43302,a874)),x43301),f42(x43304,f889(x43302,a874))),x43305)),x43306)),f341(f341(f42(x43304,f889(x43302,a874)),f341(f341(f42(x43301,f889(x43304,a874)),x43303),x43305)),x43306)) % 197.39/197.41 [4331]E(f341(f341(f43(x43311,f889(x43312,a874)),x43313),f341(f341(f9(x43311,f889(x43314,f889(x43312,a874)),f889(x43312,a874)),f341(f341(f10(f889(x43314,a874),f889(f889(x43314,f889(x43312,a874)),f889(x43312,a874)),x43311),f43(x43314,f889(x43312,a874))),x43315)),x43316)),f341(f341(f43(x43314,f889(x43312,a874)),f341(f341(f42(x43311,f889(x43314,a874)),x43313),x43315)),x43316)) % 197.39/197.41 [4380]E(f341(f262(x43801,x43802,f888(x43803,x43804)),f341(f341(f9(x43801,f889(x43802,x43804),f889(x43802,f888(x43803,x43804))),f341(f341(f10(f889(x43804,f888(x43803,x43804)),f889(f889(x43802,x43804),f889(x43802,f888(x43803,x43804))),x43801),f10(x43804,f888(x43803,x43804),x43802)),f341(f341(f10(x43803,f889(x43804,f888(x43803,x43804)),x43801),f257(x43803,x43804)),x43805))),x43806)),f263(x43801,x43803,x43802,x43804,x43805,x43806)) % 197.39/197.41 [4406]E(f341(f341(f317(x44061,x44062),f341(f341(f20(x44061,x44062,x44062),f341(f341(f20(x44061,x44062,f889(x44062,x44062)),f341(f341(f10(a874,f889(x44062,f889(x44062,x44062)),x44061),f111(x44062)),x44063)),x44064)),x44065)),x44066),f341(f341(f125(f889(x44062,a874)),f341(f341(f317(x44061,x44062),x44064),f341(f341(f126(f889(x44061,a874)),x44066),f341(f267(x44061),x44063)))),f341(f341(f317(x44061,x44062),x44065),f341(f341(f126(f889(x44061,a874)),x44066),f341(f267(x44061),f341(f341(f10(a874,a874,x44061),a336),x44063)))))) % 197.39/197.41 [4417]E(f341(f341(f317(x44171,f888(x44172,x44173)),f341(f341(f20(x44171,x44173,f888(x44172,x44173)),f341(f341(f10(x44172,f889(x44173,f888(x44172,x44173)),x44171),f257(x44172,x44173)),x44174)),x44175)),x44176),f341(f341(f259(x44172,x44173),f341(f341(f317(x44171,x44172),x44174),x44176)),f341(f341(f10(f889(x44171,a874),f889(x44173,a874),x44172),f341(f317(x44171,x44173),x44175)),f341(f341(f9(x44172,f889(x44171,a874),f889(x44171,a874)),f341(f341(f10(f889(x44171,a874),f889(f889(x44171,a874),f889(x44171,a874)),x44172),f126(f889(x44171,a874))),f341(f341(f10(f889(x44172,a874),f889(x44171,a874),x44172),f320(x44171,x44172,x44174)),f341(f341(f9(x44172,f889(x44172,a874),f889(x44172,a874)),f318(x44172)),f193(f889(x44172,a874)))))),x44176)))) % 197.39/197.41 [4444]E(f253(x44441,x44442,x44443,x44444,x44445,x44446),f341(x44444,f341(f267(x44441),f341(f341(f10(f889(f889(x44443,x44441),a874),a874,x44441),f98(f889(x44443,x44441))),f341(f341(f10(f889(f889(x44443,x44441),a874),f889(f889(x44443,x44441),a874),x44441),f341(f20(f889(x44443,x44441),a874,a874),f341(f341(f10(a874,f889(a874,a874),f889(x44443,x44441)),a339),f341(f341(f9(f889(x44443,x44441),f889(f889(x44443,x44441),a874),a874),f344(f889(x44443,x44441))),x44445)))),f341(f341(f9(x44441,f889(f889(x44443,x44441),x44441),f889(f889(x44443,x44441),a874)),f341(f341(f10(f889(x44441,a874),f889(f889(f889(x44443,x44441),x44441),f889(f889(x44443,x44441),a874)),x44441),f10(x44441,a874,f889(x44443,x44441))),a338)),f341(f341(f9(f889(x44443,x44441),x44443,x44441),f7(f889(x44443,x44441))),x44446))))))) % 197.39/197.41 [4205]E(f341(f341(f82(x42051,x42052,x42053),x42054),f84(x42053,x42051,x42055,x42056,x42057)),f84(x42053,x42052,f341(f341(f82(x42051,x42052,x42053),x42054),x42055),x42056,f341(x42054,x42057))) % 197.39/197.41 [4362]E(f341(f261(x43621,x43622),f341(f263(x43623,x43621,x43624,x43622,x43625,x43626),x43627)),f341(x43626,f341(f261(x43623,x43624),x43627))) % 197.39/197.41 [4363]E(f341(f256(x43631,x43632),f341(f263(x43633,x43631,x43634,x43632,x43635,x43636),x43637)),f341(x43635,f341(f256(x43633,x43634),x43637))) % 197.39/197.41 [4075]E(f341(f341(f184(x40751,x40752),f341(f341(f164(x40751,x40753),x40754),x40755)),f341(f341(f164(x40752,x40756),x40754),x40757)),f341(f341(f164(f888(x40751,x40752),f341(f341(f184(x40751,x40752),x40753),x40756)),x40754),f341(f341(f257(x40751,x40752),x40755),x40757))) % 197.39/197.41 [4139]E(f341(f341(f341(f264(x41391,x41392,x41393,x41394),x41395),x41396),x41397),f341(f341(f262(x41392,x41393,x41394),x41396),f341(x41395,x41397))) % 197.39/197.41 [4147]E(f341(f341(f341(f264(x41471,x41472,x41473,x41474),x41475),x41476),x41477),f341(f341(x41476,f341(f256(x41472,x41473),f341(x41475,x41477))),f341(f261(x41472,x41473),f341(x41475,x41477)))) % 197.39/197.41 [4384]E(f341(f263(x43841,x43842,x43843,x43843,x43844,f34(x43843)),f341(f263(x43841,x43841,x43845,x43843,f34(x43841),x43846),x43847)),f341(f341(f257(x43842,x43843),f341(x43844,f341(f256(x43841,x43845),x43847))),f341(x43846,f341(f261(x43841,x43845),x43847)))) % 197.39/197.41 [4385]E(f341(f263(x43851,x43851,x43852,x43853,f34(x43851),x43854),f341(f263(x43855,x43851,x43852,x43852,x43856,f34(x43852)),x43857)),f341(f341(f257(x43851,x43853),f341(x43856,f341(f256(x43855,x43852),x43857))),f341(x43854,f341(f261(x43855,x43852),x43857)))) % 197.39/197.41 [4401]E(f341(f263(x44011,x44012,x44013,x44013,x44014,f34(x44013)),f341(f263(x44015,x44011,x44013,x44013,x44016,f34(x44013)),x44017)),f341(f263(x44015,x44012,x44013,x44013,f341(f341(f82(x44011,x44012,x44015),x44014),x44016),f34(x44013)),x44017)) % 197.39/197.41 [4414]E(f341(f263(x44141,x44142,x44143,x44143,x44144,f34(x44143)),f341(f263(x44141,x44141,x44145,x44143,f34(x44141),x44146),x44147)),f341(f263(x44142,x44142,x44145,x44143,f34(x44142),x44146),f341(f263(x44141,x44142,x44145,x44145,x44144,f34(x44145)),x44147))) % 197.39/197.41 [4101]E(f341(f341(f82(x41011,x41012,x41013),x41014),f341(f341(f82(x41015,x41011,x41013),x41016),x41017)),f341(f341(f82(x41015,x41012,x41013),f341(f341(f82(x41011,x41012,x41015),x41014),x41016)),x41017)) % 197.39/197.41 [4102]E(f341(f341(f296(x41021,x41022,x41023),f341(f341(f296(x41021,x41024,x41022),x41025),x41026)),x41027),f341(f341(f296(x41021,x41024,x41023),x41025),f341(f341(f296(x41024,x41022,x41023),x41026),x41027))) % 197.39/197.41 [4221]E(f341(f147(x42211,x42212,f341(f9(x42212,x42211,x42211),x42213),x42214),f341(f173(x42212),f341(f341(f159(x42215,x42212),x42216),x42217))),f341(f147(x42211,x42215,f341(f9(x42215,x42211,x42211),f341(f341(f82(x42212,f889(x42211,x42211),x42215),x42213),x42216)),x42214),f341(f173(x42215),x42217))) % 197.39/197.41 [4333]E(f341(f341(f82(x43331,x43332,x43333),f341(f341(f82(x43334,x43332,x43331),x43335),x43336)),x43337),f341(f87(x43333,x43331,x43334,x43332,x43337,x43335),x43336)) % 197.39/197.41 [4402]E(f341(f263(x44021,x44021,x44022,x44023,f34(x44021),x44024),f341(f263(x44021,x44021,x44025,x44022,f34(x44021),x44026),x44027)),f341(f263(x44021,x44021,x44025,x44023,f34(x44021),f341(f341(f82(x44022,x44023,x44025),x44024),x44026)),x44027)) % 197.39/197.41 [4121]E(f341(f341(f262(x41211,x41212,x41213),f341(f341(f82(x41214,f889(x41212,x41213),x41211),x41215),x41216)),x41217),f341(f341(x41215,f341(x41216,f341(f256(x41211,x41212),x41217))),f341(f261(x41211,x41212),x41217))) % 197.39/197.41 [4199]E(f341(f341(f42(x41991,f889(f888(x41992,x41993),a874)),x41994),f341(f341(f10(f889(f888(x41995,x41993),a874),f889(f888(x41992,x41993),a874),x41991),f341(f296(x41992,x41995,x41993),x41996)),x41997)),f341(f341(f296(x41992,x41995,x41993),x41996),f341(f341(f42(x41991,f889(f888(x41995,x41993),a874)),x41994),x41997))) % 197.39/197.41 [4349]E(f341(f341(f42(x43491,f889(f888(x43492,x43493),a874)),x43494),f341(f341(f9(x43491,f889(f888(x43495,x43493),a874),f889(f888(x43492,x43493),a874)),f341(f341(f10(f889(f888(x43492,x43495),a874),f889(f889(f888(x43495,x43493),a874),f889(f888(x43492,x43493),a874)),x43491),f296(x43492,x43495,x43493)),x43496)),x43497)),f341(f341(f296(x43492,x43495,x43493),f341(f341(f42(x43491,f889(f888(x43492,x43495),a874)),x43494),x43496)),x43497)) % 197.39/197.41 [4350]E(f341(f147(x43501,x43502,f341(f341(f9(x43501,f889(x43502,x43503),f889(x43502,x43501)),f341(f341(f10(f889(x43503,x43501),f889(f889(x43502,x43503),f889(x43502,x43501)),x43501),f10(x43503,x43501,x43502)),x43504)),x43505),x43506),x43507),f341(f147(x43501,x43503,x43504,x43506),f341(f341(f159(x43502,x43503),x43505),x43507))) % 197.39/197.41 [4415]E(f341(f341(f43(x44151,f889(x44152,a874)),x44153),f341(f341(f10(f889(x44154,f889(x44152,a874)),f889(x44152,a874),x44151),f341(f43(x44154,f889(x44152,a874)),x44155)),f341(f341(f9(x44151,f889(x44154,f889(x44152,a874)),f889(x44154,f889(x44152,a874))),f341(f341(f10(f889(f889(x44152,a874),f889(x44152,a874)),f889(f889(x44154,f889(x44152,a874)),f889(x44154,f889(x44152,a874))),x44151),f10(f889(x44152,a874),f889(x44152,a874),x44154)),f341(f341(f10(f889(x44152,a874),f889(f889(x44152,a874),f889(x44152,a874)),x44151),f125(f889(x44152,a874))),x44156))),x44157))),f341(f341(f125(f889(x44152,a874)),f341(f341(f43(x44151,f889(x44152,a874)),x44153),x44156)),f341(f341(f43(x44154,f889(x44152,a874)),x44155),x44157))) % 197.39/197.41 [4416]E(f341(f341(f42(x44161,f889(x44162,a874)),x44163),f341(f341(f10(f889(x44164,f889(x44162,a874)),f889(x44162,a874),x44161),f341(f42(x44164,f889(x44162,a874)),x44165)),f341(f341(f9(x44161,f889(x44164,f889(x44162,a874)),f889(x44164,f889(x44162,a874))),f341(f341(f10(f889(f889(x44162,a874),f889(x44162,a874)),f889(f889(x44164,f889(x44162,a874)),f889(x44164,f889(x44162,a874))),x44161),f10(f889(x44162,a874),f889(x44162,a874),x44164)),f341(f341(f10(f889(x44162,a874),f889(f889(x44162,a874),f889(x44162,a874)),x44161),f126(f889(x44162,a874))),x44166))),x44167))),f341(f341(f126(f889(x44162,a874)),f341(f341(f42(x44161,f889(x44162,a874)),x44163),x44166)),f341(f341(f42(x44164,f889(x44162,a874)),x44165),x44167))) % 197.39/197.41 [4408]E(f204(x44081,x44082,f341(f341(f341(x44083,x44084),x44085),x44086),f341(f341(f9(x44081,f888(a115,a115),f889(a115,f882(x44082))),f341(f341(f9(x44081,a115,f889(f888(a115,a115),f889(a115,f882(x44082)))),f341(f341(f9(x44081,a115,f889(a115,f889(f888(a115,a115),f889(a115,f882(x44082))))),x44087),x44084)),x44085)),x44086)),f341(f341(f341(f215(x44081,x44082,x44083,x44087),x44084),x44085),x44086)) % 197.39/197.41 [4422]E(f205(x44221,x44222,f341(f341(f341(x44223,x44224),x44225),x44226),f341(f341(f9(x44221,f888(a115,a115),f889(a115,f882(x44222))),f341(f341(f9(x44221,a115,f889(f888(a115,a115),f889(a115,f882(x44222)))),f341(f341(f9(x44221,a115,f889(a115,f889(f888(a115,a115),f889(a115,f882(x44222))))),x44227),x44224)),x44225)),x44226)),f217(x44221,x44222,x44223,x44227,x44224,x44225,x44226)) % 197.39/197.41 [4413]E(f202(x44131,x44132,f341(f341(f341(x44133,x44134),x44135),x44136),f341(f341(f9(x44131,f888(a115,a115),f889(a115,f882(f885(x44132)))),f341(f341(f9(x44131,a115,f889(f888(a115,a115),f889(a115,f882(f885(x44132))))),f341(f341(f9(x44131,a115,f889(a115,f889(f888(a115,a115),f889(a115,f882(f885(x44132)))))),x44137),x44134)),x44135)),x44136)),f341(f341(f341(f211(x44131,x44132,x44133,x44137),x44134),x44135),x44136)) % 197.39/197.41 [4424]E(f203(x44241,x44242,f341(f341(f341(x44243,x44244),x44245),x44246),f341(f341(f9(x44241,f888(a115,a115),f889(a115,f882(f885(x44242)))),f341(f341(f9(x44241,a115,f889(f888(a115,a115),f889(a115,f882(f885(x44242))))),f341(f341(f9(x44241,a115,f889(a115,f889(f888(a115,a115),f889(a115,f882(f885(x44242)))))),x44247),x44244)),x44245)),x44246)),f213(x44241,x44242,x44243,x44247,x44244,x44245,x44246)) % 197.39/197.41 [4361]E(f341(f341(f87(x43611,x43612,x43613,x43614,x43615,x43616),x43617),x43618),f341(x43616,f341(x43617,f341(x43615,x43618)))) % 197.39/197.41 [4322]E(f341(f263(x43221,x43222,x43223,x43224,x43225,x43226),f341(f341(f257(x43221,x43223),x43227),x43228)),f341(f341(f257(x43222,x43224),f341(x43225,x43227)),f341(x43226,x43228))) % 197.39/197.41 [4426]E(f341(f341(f159(f888(x44261,x44262),f888(x44263,x44264)),f341(f262(x44261,x44262,f888(x44263,x44264)),f341(f341(f9(x44261,f889(x44262,x44264),f889(x44262,f888(x44263,x44264))),f341(f341(f10(f889(x44264,f888(x44263,x44264)),f889(f889(x44262,x44264),f889(x44262,f888(x44263,x44264))),x44261),f10(x44264,f888(x44263,x44264),x44262)),f341(f341(f10(x44263,f889(x44264,f888(x44263,x44264)),x44261),f257(x44263,x44264)),x44265))),x44266))),f341(f341(f184(x44261,x44262),x44267),x44268)),f341(f341(f184(x44263,x44264),f341(f341(f159(x44261,x44263),x44265),x44267)),f341(f341(f159(x44262,x44264),x44266),x44268))) % 197.39/197.41 [4429]E(f341(f341(f159(f888(x44291,x44292),x44293),f341(f262(x44291,x44292,x44293),f341(f341(f10(f889(x44292,f888(x44291,x44294)),f889(x44292,x44293),x44291),f341(f10(f888(x44291,x44294),x44293,x44292),x44295)),f341(f341(f9(x44291,f889(x44292,x44294),f889(x44292,f888(x44291,x44294))),f341(f341(f10(f889(x44294,f888(x44291,x44294)),f889(f889(x44292,x44294),f889(x44292,f888(x44291,x44294))),x44291),f10(x44294,f888(x44291,x44294),x44292)),f257(x44291,x44294))),x44296)))),f341(f341(f184(x44291,x44292),x44297),x44298)),f341(f341(f159(f888(x44291,x44294),x44293),x44295),f341(f341(f184(x44291,x44294),x44297),f341(f341(f159(x44292,x44294),x44296),x44298)))) % 197.39/197.41 [4353]E(f341(f341(f159(f888(x43531,x43532),x43533),f341(f262(x43531,x43532,x43533),f341(f341(f10(f889(x43532,f888(x43534,x43532)),f889(x43532,x43533),x43531),f341(f10(f888(x43534,x43532),x43533,x43532),x43535)),f341(f341(f10(x43534,f889(x43532,f888(x43534,x43532)),x43531),f257(x43534,x43532)),x43536)))),f341(f341(f184(x43531,x43532),x43537),x43538)),f341(f341(f159(f888(x43534,x43532),x43533),x43535),f341(f341(f184(x43534,x43532),f341(f341(f159(x43531,x43534),x43536),x43537)),x43538))) % 197.39/197.41 [4310]E(f341(f341(f262(x43101,x43102,x43103),f341(f341(f10(f889(x43102,f888(x43104,x43105)),f889(x43102,x43103),x43101),f341(f10(f888(x43104,x43105),x43103,x43102),f341(f262(x43104,x43105,x43103),x43106))),x43107)),x43108),f341(f341(f262(x43104,x43105,x43103),x43106),f341(f341(f262(x43101,x43102,f888(x43104,x43105)),x43107),x43108))) % 197.39/197.41 [4430]E(f341(f341(f42(f888(x44301,x44302),f889(f888(x44303,x44304),a874)),f341(f341(f259(x44301,x44302),x44305),f341(f18(f889(x44302,a874),x44301),x44306))),f341(f262(x44301,x44302,f889(f888(x44303,x44304),a874)),f341(f341(f9(x44301,f889(x44302,f889(x44303,f889(x44304,a874))),f889(x44302,f889(f888(x44303,x44304),a874))),f341(f341(f10(f889(f889(x44303,f889(x44304,a874)),f889(f888(x44303,x44304),a874)),f889(f889(x44302,f889(x44303,f889(x44304,a874))),f889(x44302,f889(f888(x44303,x44304),a874))),x44301),f10(f889(x44303,f889(x44304,a874)),f889(f888(x44303,x44304),a874),x44302)),f341(f341(f10(f889(x44303,a874),f889(f889(x44303,f889(x44304,a874)),f889(f888(x44303,x44304),a874)),x44301),f259(x44303,x44304)),x44307))),f341(f341(f10(f889(x44304,a874),f889(x44303,f889(x44304,a874)),x44302),f18(f889(x44304,a874),x44303)),x44308)))),f341(f341(f259(x44303,x44304),f341(f341(f42(x44301,f889(x44303,a874)),x44305),x44307)),f341(f18(f889(x44304,a874),x44303),f341(f341(f42(x44302,f889(x44304,a874)),x44306),x44308)))) % 197.39/197.41 [4455]P1(f341(f341(f276(f889(x44551,x44552),f889(x44553,x44554),f889(f889(x44555,x44551),f889(x44555,x44552)),f889(f889(x44556,x44553),f889(x44556,x44554)),f276(x44551,x44553,x44552,x44554,x44557,x44558),f276(f889(x44555,x44551),f889(x44556,x44553),f889(x44555,x44552),f889(x44556,x44554),f276(x44555,x44556,x44551,x44553,x44559,x44557),f276(x44555,x44556,x44552,x44554,x44559,x44558))),f82(x44551,x44552,x44555)),f82(x44553,x44554,x44556))) % 197.39/197.41 [4369]E(f341(f341(f264(x43691,x43692,x43693,x43694),f341(f341(f264(x43691,x43695,x43696,f888(x43692,x43693)),x43697),x43698)),x43699),f341(f341(f264(x43691,x43695,x43696,x43694),x43697),f341(f341(f9(x43695,f889(x43692,f889(x43693,x43694)),f889(x43696,x43694)),f341(f341(f10(f889(x43696,f888(x43692,x43693)),f889(f889(x43692,f889(x43693,x43694)),f889(x43696,x43694)),x43695),f264(x43696,x43692,x43693,x43694)),x43698)),x43699))) % 197.39/197.41 [4397]E(f341(f341(f82(f889(x43971,x43972),f889(x43973,x43974),f889(x43975,x43976)),f87(x43973,x43971,x43972,x43974,x43977,x43978)),f87(x43971,x43975,x43976,x43972,x43979,x439710)),f87(x43973,x43975,x43976,x43974,f341(f341(f82(x43971,x43975,x43973),x43979),x43977),f341(f341(f82(x43972,x43974,x43976),x43978),x439710))) % 197.39/197.41 [4398]E(f341(f341(f82(f888(x43981,x43982),f888(x43983,x43984),f888(x43985,x43986)),f263(x43981,x43983,x43982,x43984,x43987,x43988)),f263(x43985,x43981,x43986,x43982,x43989,x439810)),f263(x43985,x43983,x43986,x43984,f341(f341(f82(x43981,x43983,x43985),x43987),x43989),f341(f341(f82(x43982,x43984,x43986),x43988),x439810))) % 197.39/197.41 [4404]E(f341(f87(x44041,x44042,x44043,x44044,x44045,x44046),f341(f87(x44042,x44047,x44048,x44043,x44049,x440410),x440411)),f341(f87(x44041,x44047,x44048,x44044,f341(f341(f82(x44042,x44047,x44041),x44049),x44045),f341(f341(f82(x44043,x44044,x44048),x44046),x440410)),x440411)) % 197.39/197.41 [4405]E(f341(f263(x44051,x44052,x44053,x44054,x44055,x44056),f341(f263(x44057,x44051,x44058,x44053,x44059,x440510),x440511)),f341(f263(x44057,x44052,x44058,x44054,f341(f341(f82(x44051,x44052,x44057),x44055),x44059),f341(f341(f82(x44053,x44054,x44058),x44056),x440510)),x440511)) % 197.39/197.41 [4587]~P61(x45871)+P61(f885(x45871)) % 197.39/197.41 [4588]~P62(x45881)+P62(f885(x45881)) % 197.39/197.41 [4591]~P141(x45911)+~E(f89(x45911),f2(x45911)) % 197.39/197.41 [4593]~E(x45931,f2(a115))+E(f341(a23,x45931),f2(a1)) % 197.39/197.41 [4594]~E(x45941,f2(a1))+E(f93(a1,x45941),f2(a1)) % 197.39/197.41 [4600]~P2(x46001)+P29(x46001,f2(x46001)) % 197.39/197.41 [4602]~P101(x46021)+P16(x46021,f129(x46021)) % 197.39/197.41 [4611]P1(x46111)+P1(f341(a336,x46111)) % 197.39/197.41 [4654]~P2(x46541)+~P29(x46541,f89(x46541)) % 197.39/197.41 [4695]~P1(x46951)+~P1(f341(a336,x46951)) % 197.39/197.41 [4716]E(f341(a119,x47161),f2(a881))+~P1(f341(a198,x47161)) % 197.39/197.41 [4597]~E(x45971,f2(a881))+E(f341(f116(a1),x45971),f2(a1)) % 197.39/197.41 [4604]~P89(x46041)+E(f341(f118(x46041),a94),f2(x46041)) % 197.39/197.41 [4607]~E(f415(x46071),f2(a881))+E(f341(f170(a881),x46071),f2(a881)) % 197.39/197.41 [4608]~P106(x46081)+E(f244(x46081,f241(x46081)),f246(x46081)) % 197.39/197.41 [4609]~P106(x46091)+E(f245(x46091,f241(x46091)),f192(x46091)) % 197.39/197.41 [4610]~P84(x46101)+E(f93(x46101,f2(x46101)),f2(x46101)) % 197.39/197.41 [4619]~P2(x46191)+E(f341(f116(x46191),f2(a881)),f2(x46191)) % 197.39/197.41 [4620]~P2(x46201)+E(f341(f116(x46201),f89(a881)),f89(x46201)) % 197.39/197.41 [4621]~P113(x46211)+E(f341(f117(x46211),f2(a1)),f2(x46211)) % 197.39/197.41 [4622]~P113(x46221)+E(f341(f117(x46221),f89(a1)),f89(x46221)) % 197.39/197.41 [4623]E(x46231,f2(a881))+~E(f341(f116(a1),x46231),f2(a1)) % 197.39/197.41 [4648]~P73(x46481)+E(f341(f90(x46481),f2(x46481)),f2(x46481)) % 197.39/197.41 [4649]~P92(x46491)+E(f341(f90(x46491),f249(x46491)),f193(x46491)) % 197.39/197.42 [4650]~P92(x46501)+E(f341(f90(x46501),f193(x46501)),f249(x46501)) % 197.39/197.42 [4651]~P81(x46511)+E(f341(f85(x46511),f2(x46511)),f2(x46511)) % 197.39/197.42 [4652]~P114(x46521)+E(f341(f85(x46521),f89(x46521)),f89(x46521)) % 197.39/197.42 [4653]~P69(x46531)+E(f341(f170(x46531),f129(x46531)),f2(x46531)) % 197.39/197.42 [4672]~P33(x46721)+P36(f341(f176(a1),x46721)) % 197.39/197.42 [4700]~P89(x47001)+E(f341(f90(x47001),f89(x47001)),f341(f118(x47001),a100)) % 197.39/197.42 [4715]~P89(x47151)+P29(x47151,f341(f118(x47151),a94)) % 197.39/197.42 [4740]P33(x47401)+~P36(f341(f176(a1),x47401)) % 197.39/197.42 [4776]E(f341(f116(a1),f341(a119,x47761)),x47761)+P1(f341(a198,x47761)) % 197.39/197.42 [4792]~P106(x47921)+E(f104(x47921,x47921,f7(x47921)),f105(x47921)) % 197.39/197.42 [4844]~P109(x48441)+E(f252(x48441,f89(x48441),f92(x48441)),f251(x48441)) % 197.39/197.42 [4873]~P89(x48731)+~P29(x48731,f341(f118(x48731),a100)) % 197.39/197.42 [5013]E(f341(f85(a1),x50131),x50131)+P1(f341(f341(f242(a1),x50131),f2(a1))) % 197.39/197.42 [5030]~E(f341(a119,x50301),f2(a881))+P1(f341(f341(f241(a1),x50301),f2(a1))) % 197.39/197.42 [5070]~E(f341(f85(a1),x50701),f89(a1))+P1(f341(f341(f294(a1),x50701),f89(a1))) % 197.39/197.42 [5102]~P1(f341(a198,x51021))+P1(f341(f341(f242(a1),x51021),f2(a1))) % 197.39/197.42 [5144]~P113(x51441)+P1(f341(f341(f344(x51441),f2(x51441)),f124(x51441))) % 197.39/197.42 [5145]~P2(x51451)+P1(f341(f341(f344(x51451),f2(x51451)),f189(x51451))) % 197.39/197.42 [5146]~P113(x51461)+P1(f341(f341(f344(x51461),f89(x51461)),f124(x51461))) % 197.39/197.42 [5147]~P2(x51471)+P1(f341(f341(f344(x51471),f89(x51471)),f189(x51471))) % 197.39/197.42 [5148]~P121(x51481)+P1(f341(f341(f242(x51481),f2(x51481)),f89(x51481))) % 197.39/197.42 [5149]~P121(x51491)+P1(f341(f341(f241(x51491),f2(x51491)),f89(x51491))) % 197.39/197.42 [5201]E(x52011,f2(a881))+~P1(f341(f341(f241(a881),x52011),f2(a881))) % 197.39/197.42 [5202]E(x52021,f89(a881))+~P1(f341(f341(f294(a881),x52021),f89(a881))) % 197.39/197.42 [5243]E(f341(a119,x52431),f2(a881))+~P1(f341(f341(f241(a1),x52431),f2(a1))) % 197.39/197.42 [5271]E(f341(f85(a1),x52711),f89(a1))+~P1(f341(f341(f294(a1),x52711),f89(a1))) % 197.39/197.42 [5298]P1(f341(a198,x52981))+~P1(f341(f341(f242(a1),x52981),f2(a1))) % 197.39/197.42 [5318]P36(x53181)+~P1(f341(f341(f241(a1),f2(a1)),f346(x53181))) % 197.39/197.42 [5321]E(f341(f85(a1),x53211),f341(f90(a1),x53211))+~P1(f341(f341(f242(a1),x53211),f2(a1))) % 197.39/197.42 [5495]~P121(x54951)+~P1(f341(f341(f242(x54951),f89(x54951)),f2(x54951))) % 197.39/197.42 [5496]~P121(x54961)+~P1(f341(f341(f241(x54961),f89(x54961)),f2(x54961))) % 197.39/197.42 [5508]~E(x55081,f2(a1))+P1(f341(f341(f242(a1),f341(f85(a1),x55081)),f89(a1))) % 197.39/197.42 [5509]~E(x55091,f2(a881))+P1(f341(f341(f241(a1),f341(f116(a1),x55091)),f2(a1))) % 197.39/197.42 [5617]~P69(x56171)+E(f147(x56171,x56171,f91(x56171),f2(x56171)),f170(x56171)) % 197.39/197.42 [5801]~P91(x58011)+P18(a881,x58011,f116(x58011),f249(f889(a881,a874))) % 197.39/197.42 [6009]E(x60091,f2(a881))+~P1(f341(f341(f241(a1),f341(f116(a1),x60091)),f2(a1))) % 197.39/197.42 [6010]E(x60101,f2(a1))+~P1(f341(f341(f242(a1),f341(f85(a1),x60101)),f89(a1))) % 197.39/197.42 [6826]~P1(f341(f341(f242(a1),x68261),f2(a1)))+P1(f341(f341(f242(a1),f341(f341(f91(a1),x68261),x68261)),f2(a1))) % 197.39/197.42 [7389]P1(f341(f341(f242(a1),x73891),f2(a1)))+~P1(f341(f341(f242(a1),f341(f341(f91(a1),x73891),x73891)),f2(a1))) % 197.39/197.42 [7924]E(x79241,f341(a5,f2(a881)))+P1(f341(f341(f242(a881),f341(f341(f3(a881),f341(a22,x79241)),f341(a128,f2(a881)))),f341(a22,x79241))) % 197.39/197.42 [8698]~P1(f341(f341(f242(a1),x86981),f2(a1)))+P1(f341(f341(f242(a1),f341(f341(f3(a1),f341(f341(f91(a1),x86981),x86981)),a100)),f2(a1))) % 197.39/197.42 [8793]~P1(f341(f341(f242(a1),x87931),f2(a1)))+P1(f341(f341(f242(a1),f341(f341(f91(a1),f341(f341(f91(a1),f89(a1)),x87931)),x87931)),f2(a1))) % 197.39/197.42 [9111]P1(f341(f341(f242(a1),x91111),f2(a1)))+~P1(f341(f341(f242(a1),f341(f341(f3(a1),f341(f341(f91(a1),x91111),x91111)),a100)),f2(a1))) % 197.39/197.42 [9177]P1(f341(f341(f242(a1),x91771),f2(a1)))+~P1(f341(f341(f242(a1),f341(f341(f91(a1),f341(f341(f91(a1),f89(a1)),x91771)),x91771)),f2(a1))) % 197.39/197.42 [4689]~E(a94,x46891)+E(f341(f341(f91(a1),x46891),x46891),a94) % 197.39/197.42 [4690]~E(x46901,a94)+E(f341(f341(f91(a1),x46901),x46901),a94) % 197.39/197.42 [4701]E(x47011,f2(a1))+E(f341(f341(f38(a1),x47011),x47011),f89(a1)) % 197.39/197.42 [4821]E(x48211,a94)+~E(f341(f341(f91(a1),x48211),x48211),a94) % 197.39/197.42 [4822]E(a94,x48221)+~E(f341(f341(f91(a1),x48221),x48221),a94) % 197.39/197.42 [4834]~P101(x48341)+E(f144(x48341,f193(f889(x48341,a874))),f129(x48341)) % 197.39/197.42 [4835]~P8(x48351)+E(f39(x48351,f249(f889(x48351,a874))),f249(x48351)) % 197.39/197.42 [4836]~P8(x48361)+E(f39(x48361,f193(f889(x48361,a874))),f193(x48361)) % 197.39/197.42 [4837]~P8(x48371)+E(f40(x48371,f249(f889(x48371,a874))),f193(x48371)) % 197.39/197.42 [4838]~P8(x48381)+E(f40(x48381,f193(f889(x48381,a874))),f249(x48381)) % 197.39/197.42 [4973]E(x49731,f2(a881))+P1(f341(f341(f242(a881),f2(a881)),x49731)) % 197.39/197.42 [4993]~P9(x49931)+P1(f341(f341(f241(a1),f2(a1)),x49931)) % 197.39/197.42 [5021]~E(f341(f118(a881),x50211),f2(a881))+P1(f341(f341(f241(a1),x50211),a94)) % 197.39/197.42 [5026]P36(x50261)+P1(f341(f341(f344(a1),f346(x50261)),x50261)) % 197.39/197.42 [5027]E(x50271,f341(a5,f2(a881)))+P1(f341(f341(f241(a115),f89(a115)),x50271)) % 197.39/197.42 [5077]P1(f341(a198,x50771))+P1(f341(f341(f241(a1),f2(a1)),x50771)) % 197.39/197.42 [5126]E(f341(f116(a1),f341(a119,x51261)),f2(a1))+P1(f341(f341(f241(a1),f2(a1)),x51261)) % 197.39/197.42 [5184]E(f341(f116(a1),f341(f118(a881),x51841)),f341(f118(a1),x51841))+P1(f341(a198,f341(f118(a1),x51841))) % 197.39/197.42 [5210]E(f341(f118(a881),x52101),f2(a881))+~P1(f341(a198,f341(f118(a1),x52101))) % 197.39/197.42 [5211]E(f341(f118(a881),x52111),f2(a881))+~P1(f341(f341(f241(a1),x52111),a94)) % 197.39/197.42 [5240]P9(x52401)+~P1(f341(f341(f241(a1),f2(a1)),x52401)) % 197.39/197.42 [5305]E(f341(a128,f665(x53051)),x53051)+~P1(f341(f341(f242(a881),f2(a881)),x53051)) % 197.39/197.42 [5312]E(f341(a128,f341(f118(a881),x53121)),f89(a881))+~P1(f341(a198,f341(f118(a1),x53121))) % 197.39/197.42 [5319]E(f341(f116(a1),f754(x53191)),x53191)+~P1(f341(f341(f242(a1),f2(a1)),x53191)) % 197.39/197.42 [5325]~E(x53251,f341(a5,f2(a881)))+~P1(f341(f341(f241(a115),f89(a115)),x53251)) % 197.39/197.42 [5332]E(f341(f116(a1),f341(f118(a881),x53321)),f2(a1))+~P1(f341(a198,f341(f118(a1),x53321))) % 197.39/197.42 [5356]E(f341(f170(a881),x53561),f2(a881))+P1(f341(f341(f344(a881),f415(x53561)),f341(f176(a881),x53561))) % 197.39/197.42 [5380]E(f341(f116(a1),f341(a119,x53801)),x53801)+~P1(f341(f341(f241(a1),f2(a1)),x53801)) % 197.39/197.42 [5388]~P1(f341(a198,x53881))+~P1(f341(f341(f241(a1),f2(a1)),x53881)) % 197.39/197.42 [5488]E(f341(f341(f91(a881),f89(a881)),f341(f118(a881),x54881)),f89(a881))+~P1(f341(f341(f242(a1),x54881),a94)) % 197.39/197.42 [5541]E(x55411,f2(a881))+~P1(f341(f341(f242(a881),x55411),f341(a128,f2(a881)))) % 197.39/197.42 [5562]E(x55621,f341(a128,f2(a881)))+~P1(f341(f341(f294(a881),x55621),f341(a128,f2(a881)))) % 197.39/197.42 [5581]E(f341(f341(f91(a881),f341(f118(a881),x55811)),f89(a881)),f89(a881))+~P1(f341(f341(f242(a1),x55811),a94)) % 197.39/197.42 [5582]E(f341(f341(f3(a881),f341(f118(a881),x55821)),f89(a881)),f2(a881))+~P1(f341(f341(f241(a1),x55821),a94)) % 197.39/197.42 [5618]~P101(x56181)+E(f244(x56181,f341(f9(x56181,x56181,a874),f241(x56181))),f192(x56181)) % 197.39/197.42 [5619]~P101(x56191)+E(f245(x56191,f341(f9(x56191,x56191,a874),f241(x56191))),f246(x56191)) % 197.39/197.42 [5630]E(f57(a881,f341(a128,f2(a881)),f341(f118(a881),x56301)),f341(a128,f2(a881)))+~P1(f341(a198,f341(f118(a1),x56301))) % 197.39/197.42 [5638]P1(f341(f341(f242(a1),f2(a1)),x56381))+~P1(f341(f341(f241(a1),f89(a1)),x56381)) % 197.39/197.42 [5639]~P1(f341(f341(f242(a1),f2(a1)),x56391))+P1(f341(f341(f241(a1),f89(a1)),x56391)) % 197.39/197.42 [5649]E(f341(a128,f341(f341(f3(a881),x56491),f89(a881))),x56491)+~P1(f341(f341(f242(a881),f2(a881)),x56491)) % 197.39/197.42 [5705]P1(f341(f341(f242(a881),f2(a881)),f754(x57051)))+~P1(f341(f341(f242(a1),f2(a1)),x57051)) % 197.39/197.42 [5774]E(f57(a1,f341(f118(a1),a100),x57741),f341(f341(f3(a1),x57741),f89(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x57741)) % 197.39/197.42 [5814]~P1(f341(f341(f242(a1),a94),x58141))+P1(f341(f341(f242(a881),f2(a881)),f341(f118(a881),x58141))) % 197.39/197.42 [5819]E(f341(a22,f399(x58191)),x58191)+~P1(f341(f341(f344(a881),x58191),f249(f889(a881,a874)))) % 197.39/197.42 [5874]P1(f341(f341(f242(a881),f2(a881)),f341(a119,x58741)))+~P1(f341(f341(f242(a1),f2(a1)),x58741)) % 197.39/197.42 [5920]~P1(f341(f341(f242(a881),f2(a881)),x59201))+P1(f341(f341(f242(a1),f2(a1)),f341(f116(a1),x59201))) % 197.39/197.42 [5961]~P1(f341(f341(f242(a881),f2(a881)),f341(a119,x59611)))+P1(f341(f341(f242(a1),f2(a1)),x59611)) % 197.39/197.42 [5988]P1(f341(f341(f242(a1),a94),x59881))+~P1(f341(f341(f242(a881),f2(a881)),f341(f118(a881),x59881))) % 197.39/197.42 [6047]E(f341(f341(f317(a881,a1),f116(a1)),f341(f268(a881),f341(a119,x60471))),f341(f309(a1,f2(a1)),x60471))+~P1(f341(f341(f241(a1),f2(a1)),x60471)) % 197.39/197.42 [6049]P1(f341(f341(f242(a881),f2(a881)),x60491))+~P1(f341(f341(f242(a1),f2(a1)),f341(f116(a1),x60491))) % 197.39/197.42 [6171]~P121(x61711)+P1(f341(f341(f242(x61711),f2(x61711)),f341(f341(f91(x61711),f89(x61711)),f89(x61711)))) % 197.39/197.42 [6221]P1(f341(f341(f242(a881),f341(a128,f2(a881))),f341(a119,x62211)))+~P1(f341(f341(f242(a1),f89(a1)),x62211)) % 197.39/197.42 [6322]E(x63221,f2(a1))+P1(f341(f61(f2(a1),x63221),f341(f341(f257(a1,a1),f2(a1)),f2(a1)))) % 197.39/197.42 [6505]~P1(f341(f341(f242(a881),f341(a128,f2(a881))),f341(a119,x65051)))+P1(f341(f341(f242(a1),f89(a1)),x65051)) % 197.39/197.42 [6949]~P87(x69491)+P34(x69491,f341(f267(f888(x69491,x69491)),f341(f262(x69491,x69491,a874),f242(x69491)))) % 197.39/197.42 [5322]~P36(x53221)+E(f341(f37(a881),f341(f341(f317(a1,a881),a119),x53221)),f341(f37(a1),x53221)) % 197.39/197.42 [5531]E(f341(f118(a881),f341(f341(f3(a1),x55311),a100)),f341(a128,f341(f118(a881),x55311)))+P1(f341(a198,f341(f118(a1),x55311))) % 197.39/197.42 [5543]~P36(x55431)+E(f341(f341(f317(a881,a1),f116(a1)),f341(f341(f317(a1,a881),a119),x55431)),x55431) % 197.39/197.42 [5544]~P33(x55441)+E(f341(f341(f159(a881,a1),f116(a1)),f341(f341(f159(a1,a881),a119),x55441)),x55441) % 197.39/197.42 [5655]E(f341(f90(a1),f341(f116(a1),f341(a128,f849(x56551)))),x56551)+~P1(f341(f341(f242(a1),x56551),f2(a1))) % 197.39/197.42 [5665]E(f341(f341(f91(a881),f89(a881)),f341(f118(a881),x56651)),f341(f118(a881),f341(f341(f3(a1),x56651),a100)))+P1(f341(f341(f242(a1),x56651),a94)) % 197.39/197.42 [5707]E(f341(f341(f38(a1),f341(f118(a1),a100)),x57071),f341(f118(a1),a100))+~P1(f341(f341(f242(a1),f2(a1)),x57071)) % 197.39/197.42 [5810]E(f341(f341(f91(a881),f341(f118(a881),x58101)),f89(a881)),f341(f118(a881),f341(f341(f3(a1),x58101),a100)))+P1(f341(f341(f242(a1),x58101),a94)) % 197.39/197.42 [5811]E(f341(f341(f3(a881),f341(f118(a881),x58111)),f89(a881)),f341(f118(a881),f341(f341(f91(a1),x58111),a100)))+P1(f341(f341(f241(a1),x58111),a94)) % 197.39/197.42 [5857]E(f341(a119,f341(f341(f91(a1),f89(a1)),x58571)),f341(a128,f341(a119,x58571)))+~P1(f341(f341(f241(a1),f2(a1)),x58571)) % 197.39/197.42 [5895]E(f341(a128,f341(f341(f3(a881),x58951),f341(a128,f2(a881)))),x58951)+~P1(f341(f341(f242(a881),f2(a881)),x58951)) % 197.39/197.42 [6109]E(f57(a881,f341(a128,f2(a881)),f341(f118(a881),x61091)),f341(a119,f57(a1,f89(a1),f341(f118(a1),x61091))))+P1(f341(a198,f341(f118(a1),x61091))) % 197.39/197.42 [6149]~P1(f341(f341(f242(a1),a94),x61491))+P1(f341(f341(f242(a1),a94),f341(f341(f91(a1),x61491),x61491))) % 197.39/197.42 [6150]~P1(f341(f341(f242(a1),a100),x61501))+P1(f341(f341(f242(a1),a100),f341(f341(f91(a1),x61501),x61501))) % 197.39/197.42 [6151]~P1(f341(f341(f241(a1),a94),x61511))+P1(f341(f341(f241(a1),a94),f341(f341(f91(a1),x61511),x61511))) % 197.39/197.42 [6152]~P1(f341(f341(f242(a1),a100),x61521))+P1(f341(f341(f241(a1),a100),f341(f341(f91(a1),x61521),x61521))) % 197.39/197.42 [6336]~P1(f341(f72(x63361),f249(f889(x63361,a874))))+P1(f341(f72(f885(x63361)),f249(f889(f885(x63361),a874)))) % 197.39/197.42 [6432]~P1(f341(f341(f241(a1),f2(a1)),x64321))+P1(f341(f341(f242(a1),f2(a1)),f341(f341(f91(a1),f89(a1)),x64321))) % 197.39/197.42 [6439]E(f341(f256(a1,a1),f59(f89(a1),f341(f118(a1),x64391))),f341(f341(f38(a1),f89(a1)),f341(f118(a1),x64391)))+~P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x64391))) % 197.39/197.42 [6464]E(f341(f261(a1,a1),f59(f89(a1),f341(f118(a1),x64641))),f57(a1,f89(a1),f341(f118(a1),x64641)))+~P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x64641))) % 197.39/197.42 [6476]P1(f341(f72(x64761),f249(f889(x64761,a874))))+~P1(f341(f72(f885(x64761)),f249(f889(f885(x64761),a874)))) % 197.39/197.42 [6506]P1(f341(f341(f242(a1),a94),x65061))+~P1(f341(f341(f242(a1),a94),f341(f341(f91(a1),x65061),x65061))) % 197.39/197.42 [6507]P1(f341(f341(f242(a1),a100),x65071))+~P1(f341(f341(f242(a1),a100),f341(f341(f91(a1),x65071),x65071))) % 197.39/197.42 [6508]P1(f341(f341(f242(a1),a100),x65081))+~P1(f341(f341(f241(a1),a100),f341(f341(f91(a1),x65081),x65081))) % 197.39/197.42 [6509]P1(f341(f341(f241(a1),a94),x65091))+~P1(f341(f341(f241(a1),a94),f341(f341(f91(a1),x65091),x65091))) % 197.39/197.42 [6831]~P1(f341(f72(x68311),f249(f889(x68311,a874))))+P1(f341(f341(f242(a881),f2(a881)),f341(f37(x68311),f249(f889(x68311,a874))))) % 197.39/197.42 [6864]P1(f341(f72(a881),x68641))+~P1(f341(f72(a1),f341(f341(f317(a881,a1),f116(a1)),x68641))) % 197.39/197.42 [5463]~E(a100,x54631)+E(f341(f341(f3(a1),f341(f341(f91(a1),x54631),x54631)),a100),a100) % 197.39/197.42 [5464]~E(x54641,a100)+E(f341(f341(f3(a1),f341(f341(f91(a1),x54641),x54641)),a100),a100) % 197.39/197.42 [5984]E(x59841,a100)+~E(f341(f341(f3(a1),f341(f341(f91(a1),x59841),x59841)),a100),a100) % 197.39/197.42 [5985]E(a100,x59851)+~E(f341(f341(f3(a1),f341(f341(f91(a1),x59851),x59851)),a100),a100) % 197.39/197.42 [6398]~E(f341(f118(a881),x63981),f2(a881))+P1(f341(a198,f341(f118(a1),f341(f341(f91(a1),x63981),a100)))) % 197.39/197.42 [6758]~P1(f341(a198,f341(f118(a1),x67581)))+P1(f341(a198,f341(f118(a1),f341(f341(f91(a1),x67581),x67581)))) % 197.39/197.42 [6759]~P1(f341(f341(f242(a1),x67591),a94))+P1(f341(f341(f242(a1),f341(f341(f91(a1),x67591),x67591)),a94)) % 197.39/197.42 [6760]~P1(f341(f341(f241(a1),x67601),a100))+P1(f341(f341(f242(a1),f341(f341(f91(a1),x67601),x67601)),a100)) % 197.39/197.42 [6761]~P1(f341(f341(f241(a1),x67611),a94))+P1(f341(f341(f241(a1),f341(f341(f91(a1),x67611),x67611)),a94)) % 197.39/197.42 [6762]~P1(f341(f341(f241(a1),x67621),a100))+P1(f341(f341(f241(a1),f341(f341(f91(a1),x67621),x67621)),a100)) % 197.39/197.42 [7098]E(f341(f118(a881),x70981),f2(a881))+~P1(f341(a198,f341(f118(a1),f341(f341(f91(a1),x70981),a100)))) % 197.39/197.42 [7340]~P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x73401)))+P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),f341(f341(f91(a1),x73401),x73401)))) % 197.39/197.42 [7341]P1(f341(a198,f341(f118(a1),x73411)))+~P1(f341(a198,f341(f118(a1),f341(f341(f91(a1),x73411),x73411)))) % 197.39/197.42 [7342]P1(f341(f341(f242(a1),x73421),a94))+~P1(f341(f341(f242(a1),f341(f341(f91(a1),x73421),x73421)),a94)) % 197.39/197.42 [7343]P1(f341(f341(f241(a1),x73431),a94))+~P1(f341(f341(f241(a1),f341(f341(f91(a1),x73431),x73431)),a94)) % 197.39/197.42 [7344]P1(f341(f341(f241(a1),x73441),a100))+~P1(f341(f341(f242(a1),f341(f341(f91(a1),x73441),x73441)),a100)) % 197.39/197.42 [7345]P1(f341(f341(f241(a1),x73451),a100))+~P1(f341(f341(f241(a1),f341(f341(f91(a1),x73451),x73451)),a100)) % 197.39/197.42 [7703]E(f341(a121,f818(x77031)),x77031)+~P1(f341(f341(f344(f889(f888(a881,a881),a874)),x77031),a114)) % 197.39/197.42 [6307]~P89(x63071)+E(f341(f118(x63071),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f89(x63071)) % 197.39/197.42 [6811]~P1(f341(a198,f341(f118(a1),x68111)))+E(f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),x68111),x68111)),a100)),f2(a881)) % 197.39/197.42 [7873]~P1(f341(f341(f242(a1),f341(f118(a1),x78731)),f2(a1)))+E(f341(f256(a1,a1),f341(a63,f62(f341(f90(a1),f89(a1)),f341(f90(a1),f341(f118(a1),x78731))))),f341(f341(f38(a1),f89(a1)),f341(f118(a1),x78731))) % 197.39/197.42 [7886]~P1(f341(f341(f242(a1),f341(f118(a1),x78861)),f2(a1)))+E(f341(f261(a1,a1),f341(a63,f62(f341(f90(a1),f89(a1)),f341(f90(a1),f341(f118(a1),x78861))))),f57(a1,f89(a1),f341(f118(a1),x78861))) % 197.39/197.42 [7932]~P1(f341(f341(f241(a1),a94),x79321))+P1(f341(f341(f242(a1),a94),f341(f341(f3(a1),f341(f341(f91(a1),x79321),x79321)),a100))) % 197.39/197.42 [7933]~P1(f341(f341(f242(a1),a100),x79331))+P1(f341(f341(f242(a1),a100),f341(f341(f3(a1),f341(f341(f91(a1),x79331),x79331)),a100))) % 197.39/197.42 [7934]~P1(f341(f341(f241(a1),a94),x79341))+P1(f341(f341(f241(a1),a94),f341(f341(f3(a1),f341(f341(f91(a1),x79341),x79341)),a100))) % 197.39/197.42 [7935]~P1(f341(f341(f241(a1),a100),x79351))+P1(f341(f341(f241(a1),a100),f341(f341(f3(a1),f341(f341(f91(a1),x79351),x79351)),a100))) % 197.39/197.42 [8245]~P89(x82451)+~P29(x82451,f341(f118(x82451),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))) % 197.39/197.42 [8425]P1(f341(f341(f242(a1),a100),x84251))+~P1(f341(f341(f242(a1),a100),f341(f341(f3(a1),f341(f341(f91(a1),x84251),x84251)),a100))) % 197.39/197.42 [8426]P1(f341(f341(f241(a1),a94),x84261))+~P1(f341(f341(f242(a1),a94),f341(f341(f3(a1),f341(f341(f91(a1),x84261),x84261)),a100))) % 197.39/197.42 [8427]P1(f341(f341(f241(a1),a94),x84271))+~P1(f341(f341(f241(a1),a94),f341(f341(f3(a1),f341(f341(f91(a1),x84271),x84271)),a100))) % 197.39/197.42 [8428]P1(f341(f341(f241(a1),a100),x84281))+~P1(f341(f341(f241(a1),a100),f341(f341(f3(a1),f341(f341(f91(a1),x84281),x84281)),a100))) % 197.39/197.42 [8751]E(f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),x87511),x87511)),a100)),f341(f341(f97(a881,a881),f341(f118(a881),x87511)),f341(f341(f10(a881,a881,a881),a128),f341(f341(f20(a881,a881,a881),f91(a881)),f7(a881)))))+P1(f341(a198,f341(f118(a1),x87511))) % 197.39/197.42 [9587]E(x95871,f193(f889(f888(a881,a881),a874)))+P1(f341(f341(f344(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),x95871),f193(f889(f888(a881,a881),a874)))),a78)) % 197.39/197.42 [8676]~P1(f341(a198,f341(f118(a1),x86761)))+P1(f341(a198,f341(f118(a1),f341(f341(f3(a1),f341(f341(f91(a1),x86761),x86761)),a100)))) % 197.39/197.42 [8677]~P1(f341(f341(f242(a1),x86771),a94))+P1(f341(f341(f242(a1),f341(f341(f3(a1),f341(f341(f91(a1),x86771),x86771)),a100)),a94)) % 197.39/197.42 [8678]~P1(f341(f341(f242(a1),x86781),a100))+P1(f341(f341(f242(a1),f341(f341(f3(a1),f341(f341(f91(a1),x86781),x86781)),a100)),a100)) % 197.39/197.42 [8679]~P1(f341(f341(f242(a1),x86791),a94))+P1(f341(f341(f241(a1),f341(f341(f3(a1),f341(f341(f91(a1),x86791),x86791)),a100)),a94)) % 197.39/197.42 [8680]~P1(f341(f341(f241(a1),x86801),a100))+P1(f341(f341(f241(a1),f341(f341(f3(a1),f341(f341(f91(a1),x86801),x86801)),a100)),a100)) % 197.39/197.42 [8788]~P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x87881)))+P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),f341(f341(f3(a1),f341(f341(f91(a1),x87881),x87881)),a100)))) % 197.39/197.42 [8948]~P89(x89481)+E(f341(f341(f91(x89481),f89(x89481)),f89(x89481)),f341(f118(x89481),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))) % 197.39/197.42 [9095]P1(f341(a198,f341(f118(a1),x90951)))+~P1(f341(a198,f341(f118(a1),f341(f341(f3(a1),f341(f341(f91(a1),x90951),x90951)),a100)))) % 197.39/197.42 [9096]P1(f341(f341(f242(a1),x90961),a94))+~P1(f341(f341(f242(a1),f341(f341(f3(a1),f341(f341(f91(a1),x90961),x90961)),a100)),a94)) % 197.39/197.42 [9097]P1(f341(f341(f242(a1),x90971),a94))+~P1(f341(f341(f241(a1),f341(f341(f3(a1),f341(f341(f91(a1),x90971),x90971)),a100)),a94)) % 197.39/197.42 [9098]P1(f341(f341(f242(a1),x90981),a100))+~P1(f341(f341(f242(a1),f341(f341(f3(a1),f341(f341(f91(a1),x90981),x90981)),a100)),a100)) % 197.39/197.42 [9099]P1(f341(f341(f241(a1),x90991),a100))+~P1(f341(f341(f241(a1),f341(f341(f3(a1),f341(f341(f91(a1),x90991),x90991)),a100)),a100)) % 197.39/197.42 [9633]~P1(f341(f72(f888(a881,a881)),x96331))+P1(f341(f341(f344(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),f193(f889(f888(a881,a881),a874))),x96331)),a79)) % 197.39/197.42 [9419]~P2(x94191)+E(f341(f341(f251(x94191),f2(x94191)),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f2(x94191)) % 197.39/197.42 [9420]~P2(x94201)+E(f341(f341(f251(x94201),f89(x94201)),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f89(x94201)) % 197.39/197.42 [9840]~P1(f341(f341(f242(a881),f89(a881)),x98401))+P1(f341(f341(f242(a881),f2(a881)),f341(f341(f38(a881),x98401),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))) % 197.39/197.42 [9850]~P1(f341(f341(f242(a881),f2(a881)),x98501))+P1(f341(f341(f242(a881),f2(a881)),f341(f341(f38(a881),f341(f341(f91(a881),x98501),f89(a881))),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))) % 197.39/197.42 [9883]~E(f57(a881,x98831,f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f89(a881))+P1(f341(f341(f242(a881),f2(a881)),f57(a881,x98831,f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))) % 197.39/197.42 [9916]E(f57(a881,x99161,f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f89(a881))+~P1(f341(f341(f242(a881),f2(a881)),f57(a881,x99161,f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))) % 197.39/197.42 [4627]~P34(x46271,x46272)+P56(x46271,x46272) % 197.39/197.42 [4628]~P39(x46281,x46282)+P56(x46281,x46282) % 197.39/197.42 [4589]~E(x45891,x45892)+E(f281(x45891,x45892),f89(a115)) % 197.39/197.42 [4592]E(f223(x45921,x45922),x45921)+~E(x45922,f2(a881)) % 197.39/197.42 [4599]~E(x45992,f129(x45991))+E(f157(x45991,x45992),f129(x45991)) % 197.39/197.42 [4618]~E(f157(x46182,x46181),f129(x46182))+E(x46181,f129(x46182)) % 197.39/197.42 [4632]~P104(x46322)+P104(f889(x46321,x46322)) % 197.39/197.42 [4633]~P105(x46332)+P105(f889(x46331,x46332)) % 197.39/197.42 [4634]~P106(x46342)+P106(f889(x46341,x46342)) % 197.39/197.42 [4635]~P92(x46352)+P92(f889(x46351,x46352)) % 197.39/197.42 [4636]~P86(x46362)+P86(f889(x46361,x46362)) % 197.39/197.42 [4637]~P74(x46372)+P74(f889(x46371,x46372)) % 197.39/197.42 [4638]~P107(x46382)+P107(f889(x46381,x46382)) % 197.39/197.42 [4639]~P95(x46392)+P94(f889(x46391,x46392)) % 197.39/197.42 [4640]~P95(x46402)+P95(f889(x46401,x46402)) % 197.39/197.42 [4641]~P98(x46412)+P96(f889(x46411,x46412)) % 197.39/197.42 [4642]~P8(x46422)+P8(f889(x46421,x46422)) % 197.39/197.42 [4643]~P95(x46432)+P100(f889(x46431,x46432)) % 197.39/197.42 [4644]~P99(x46442)+P99(f889(x46441,x46442)) % 197.39/197.42 [4645]~P98(x46452)+P97(f889(x46451,x46452)) % 197.39/197.42 [4646]~P103(x46462)+P103(f889(x46461,x46462)) % 197.39/197.42 [4647]~P98(x46472)+P98(f889(x46471,x46472)) % 197.39/197.42 [4660]E(x46601,x46602)+~E(f341(a128,x46601),f341(a128,x46602)) % 197.39/197.42 [4661]E(x46611,x46612)+~E(f341(a26,x46611),f341(a26,x46612)) % 197.39/197.42 [4662]E(x46621,x46622)+~E(f341(a5,x46621),f341(a5,x46622)) % 197.39/197.42 [4664]E(x46641,x46642)+~E(f341(a22,x46641),f341(a22,x46642)) % 197.39/197.42 [4665]E(x46651,x46652)+~E(f341(a121,x46651),f341(a121,x46652)) % 197.39/197.42 [4755]~P59(x47551)+E(f57(x47551,x47552,x47552),f2(x47551)) % 197.39/197.42 [4783]~P34(x47831,x47832)+P34(f883(x47831),f151(x47831,x47832)) % 197.39/197.42 [4784]~P34(x47841,x47842)+P34(f883(x47841),f150(x47841,x47842)) % 197.39/197.42 [4878]~P34(x48781,x48782)+P34(f889(x48781,a874),f334(x48781,x48782)) % 197.39/197.42 [4879]~P34(x48791,x48792)+P34(f889(x48791,a874),f332(x48791,x48792)) % 197.39/197.42 [4998]~P9(x49981)+P36(f310(a1,x49981,x49982)) % 197.39/197.42 [5105]~P34(x51051,x51052)+P58(x51051,f76(x51051,x51051,x51052)) % 197.39/197.42 [5584]~P80(x55841)+P18(x55841,x55841,f90(x55841),x55842) % 197.39/197.42 [4613]~E(x46132,f129(x46131))+E(f341(f172(x46131),x46132),f129(x46131)) % 197.39/197.42 [4614]~E(x46142,f129(x46141))+E(f341(f173(x46141),x46142),f129(x46141)) % 197.39/197.42 [4667]E(x46671,f341(a119,x46672))+~E(f341(f116(a1),x46671),x46672) % 197.39/197.42 [4670]E(x46701,f129(x46702))+~E(f341(f172(x46702),x46701),f129(x46702)) % 197.39/197.42 [4671]E(x46711,f129(x46712))+~E(f341(f173(x46712),x46711),f129(x46712)) % 197.39/197.42 [4686]~P89(x46861)+E(f341(f118(x46861),x46862),f341(f117(x46861),x46862)) % 197.39/197.42 [4694]~P62(x46941)+P1(f341(f72(x46941),x46942)) % 197.39/197.42 [4702]~E(f511(x47022,x47021),f129(x47021))+E(f182(x47021,x47022),f129(f883(x47021))) % 197.39/197.42 [4711]~E(x47112,f129(x47111))+E(f341(f176(x47111),x47112),f193(f889(x47111,a874))) % 197.39/197.42 [4712]~E(x47122,f129(x47121))+E(f193(f889(x47121,a874)),f341(f176(x47121),x47122)) % 197.39/197.42 [4714]E(x47141,x47142)+~E(f341(f116(a1),x47141),f341(f116(a1),x47142)) % 197.39/197.42 [4717]E(f221(x47171,x47172),f2(a881))+P1(f341(f72(x47171),x47172)) % 197.39/197.42 [4735]~P114(x47351)+E(f93(x47351,f93(x47351,x47352)),f93(x47351,x47352)) % 197.39/197.42 [4747]~P108(x47471)+E(f341(f341(f251(x47471),x47472),f89(a881)),x47472) % 197.39/197.42 [4748]~P77(x47481)+E(f341(f341(f251(x47481),x47482),f89(a881)),x47482) % 197.39/197.42 [4750]E(x47501,x47502)+E(f281(x47501,x47502),f341(f341(f91(a115),x47502),f89(a115))) % 197.39/197.42 [4753]E(f341(f37(x47531),x47532),f2(a881))+P1(f341(f72(x47531),x47532)) % 197.39/197.42 [4756]~E(f157(x47561,x47562),x47562)+P1(f341(f142(x47561),x47562)) % 197.39/197.42 [4759]~P69(x47591)+E(f341(f341(f91(x47591),x47592),f2(x47591)),x47592) % 197.39/197.42 [4760]~P70(x47601)+E(f341(f341(f91(x47601),x47602),f2(x47601)),x47602) % 197.39/197.42 [4761]~P108(x47611)+E(f341(f341(f91(x47611),x47612),f2(x47611)),x47612) % 197.39/197.42 [4762]~P108(x47621)+E(f341(f341(f92(x47621),x47622),f89(x47621)),x47622) % 197.39/197.42 [4763]~P77(x47631)+E(f341(f341(f92(x47631),x47632),f89(x47631)),x47632) % 197.39/197.42 [4764]~P72(x47641)+E(f341(f341(f92(x47641),x47642),f89(x47641)),x47642) % 197.39/197.42 [4765]~P59(x47651)+E(f341(f341(f38(x47651),x47652),f89(x47651)),x47652) % 197.39/197.42 [4766]~P73(x47661)+E(f341(f341(f3(x47661),x47662),f2(x47661)),x47662) % 197.39/197.42 [4767]~P118(x47671)+E(f341(f341(f298(x47671),x47672),f89(x47671)),x47672) % 197.39/197.42 [4768]~P97(x47681)+E(f341(f341(f125(x47681),x47682),f193(x47681)),x47682) % 197.39/197.42 [4769]~P96(x47691)+E(f341(f341(f126(x47691),x47692),f249(x47691)),x47692) % 197.39/197.42 [4770]~P108(x47701)+E(f341(f341(f251(x47701),x47702),f2(a881)),f89(x47701)) % 197.39/197.42 [4771]~P109(x47711)+E(f341(f341(f251(x47711),x47712),f2(a881)),f89(x47711)) % 197.39/197.42 [4772]~E(x47722,f193(f889(x47721,a874)))+E(f341(f37(x47721),x47722),f2(a881)) % 197.39/197.42 [4777]~P59(x47771)+E(f57(x47771,x47772,f2(x47771)),x47772) % 197.39/197.42 [4785]~P108(x47851)+E(f341(f341(f92(x47851),x47852),f2(x47851)),f2(x47851)) % 197.39/197.42 [4786]~P128(x47861)+E(f341(f341(f92(x47861),x47862),f2(x47861)),f2(x47861)) % 197.39/197.42 [4787]~P59(x47871)+E(f341(f341(f38(x47871),x47872),f2(x47871)),f2(x47871)) % 197.39/197.42 [4788]~P119(x47881)+E(f341(f341(f298(x47881),x47882),f2(x47881)),f2(x47881)) % 197.39/197.42 [4789]~P96(x47891)+E(f341(f341(f125(x47891),x47892),f249(x47891)),f249(x47891)) % 197.39/197.42 [4790]~P97(x47901)+E(f341(f341(f126(x47901),x47902),f193(x47901)),f193(x47901)) % 197.39/197.42 [4793]~P59(x47931)+E(f57(x47931,x47932,f89(x47931)),f2(x47931)) % 197.39/197.42 [4794]~P59(x47941)+E(f57(x47941,f2(x47941),x47942),f2(x47941)) % 197.39/197.42 [4823]E(x48231,f2(a881))+E(f67(x48232,x48231,f129(x48232)),f129(f883(x48232))) % 197.39/197.42 [4846]E(x48461,f129(x48462))+~E(f341(f176(x48462),x48461),f193(f889(x48462,a874))) % 197.39/197.42 [4847]E(x48471,f129(x48472))+~E(f193(f889(x48472,a874)),f341(f176(x48472),x48471)) % 197.39/197.42 [4850]~E(x48501,x48502)+P1(f341(f341(a338,x48501),x48502)) % 197.39/197.42 [4860]P1(x48601)+P1(f341(f341(a345,x48601),x48602)) % 197.39/197.42 [4861]E(x48611,f129(x48612))+E(f341(f341(f169(x48612),x48611),f2(a881)),f341(f146(x48612),x48611)) % 197.39/197.42 [4864]E(f157(x48641,x48642),x48642)+~P1(f341(f142(x48641),x48642)) % 197.39/197.42 [4869]~P1(x48692)+P1(f341(f341(a345,x48691),x48692)) % 197.39/197.42 [4870]~P1(x48702)+P1(f341(f341(a340,x48701),x48702)) % 197.39/197.42 [4871]~P1(x48711)+P1(f341(f341(a340,x48711),x48712)) % 197.39/197.42 [4881]~E(f645(x48812,x48811),f664(x48812,x48811))+P1(f341(f142(x48811),x48812)) % 197.39/197.42 [4888]E(f341(f267(x48881),x48882),f193(f889(x48881,a874)))+P1(f341(x48882,f548(x48882))) % 197.39/197.42 [4889]E(f193(f889(x48891,a874)),f341(f267(x48891),x48892))+P1(f341(x48892,f640(x48892))) % 197.39/197.42 [4954]~P114(x49541)+E(f341(f341(f92(x49541),x49542),f93(x49541,x49542)),f341(f85(x49541),x49542)) % 197.39/197.42 [4966]~E(x49661,f2(a1))+E(f58(x49661,x49662),f341(f341(f257(a1,a1),f2(a1)),f2(a1))) % 197.39/197.42 [4997]~P56(x49971,x49972)+P56(x49971,f341(f293(x49971,x49971),x49972)) % 197.39/197.42 [5017]E(x50171,x50172)+~P1(f341(f341(a338,x50171),x50172)) % 197.39/197.42 [5028]P1(x50281)+~P1(f341(f341(a339,x50282),x50281)) % 197.39/197.42 [5029]P1(x50291)+~P1(f341(f341(a339,x50291),x50292)) % 197.39/197.42 [5033]~P107(x50331)+P1(f341(f341(f241(x50331),x50332),f249(x50331))) % 197.39/197.42 [5034]~P108(x50341)+P1(f341(f341(f294(x50341),x50342),f2(x50341))) % 197.39/197.42 [5038]E(x50381,x50382)+~E(f341(x50381,f416(x50382,x50381)),f341(x50382,f416(x50382,x50381))) % 197.39/197.42 [5079]E(x50791,f2(a881))+E(f223(x50791,f57(a881,x50792,x50791)),f223(x50792,x50791)) % 197.39/197.42 [5084]~P101(x50841)+P16(x50841,f341(f341(f156(x50841),x50842),f129(x50841))) % 197.39/197.42 [5086]E(x50861,f2(a1))+P1(f341(f61(x50862,x50861),f58(x50862,x50861))) % 197.39/197.42 [5103]~E(x51031,x51032)+P1(f341(f341(f242(a881),x51031),f341(a128,x51032))) % 197.39/197.42 [5113]~E(x51131,f2(a881))+P1(f341(f341(f242(a881),x51131),f341(a128,x51132))) % 197.39/197.42 [5125]P1(f341(x51251,x51252))+P1(f341(f341(f241(a1),f2(a1)),f841(x51251))) % 197.39/197.42 [5189]P56(x51891,x51892)+~P56(x51891,f341(f293(x51891,x51891),x51892)) % 197.39/197.42 [5192]~E(f57(a881,x51922,x51921),f2(a881))+E(f341(f341(f92(a881),x51921),f844(x51921,x51922)),x51922) % 197.39/197.42 [5193]~E(f57(a1,x51932,x51931),f2(a1))+E(f341(f341(f92(a1),x51931),f845(x51931,x51932)),x51932) % 197.39/197.42 [5222]~P1(f341(x52221,x52222))+P1(f341(f341(f241(a1),f2(a1)),f750(x52221))) % 197.39/197.42 [5232]E(f341(f341(f3(a881),f341(a119,x52321)),f341(a119,x52322)),f341(a119,x52321))+~P1(f341(a198,x52322)) % 197.39/197.42 [5262]E(f282(x52621,x52622),f89(a115))+~P1(f341(f341(f241(a115),x52621),f89(a115))) % 197.39/197.42 [5344]E(f341(f341(f169(x53441),x53442),f645(x53442,x53441)),f341(f341(f169(x53441),x53442),f664(x53442,x53441)))+P1(f341(f142(x53441),x53442)) % 197.39/197.42 [5389]~P1(f341(x53891,f102(x53892,x53891)))+P1(f341(x53891,f459(x53892,x53891))) % 197.39/197.42 [5453]P58(x54531,x54532)+~P1(f341(f329(x54531,x54532),f438(x54532,x54531))) % 197.39/197.42 [5590]~E(f341(a128,f57(a881,x55901,x55902)),x55902)+E(f57(a881,f341(a128,x55901),x55902),f2(a881)) % 197.39/197.42 [5645]P34(x56451,x56452)+P1(f341(f341(f344(x56451),f466(x56452,x56451)),f467(x56452,x56451))) % 197.39/197.42 [5651]~P113(x56511)+P1(f341(f341(f344(x56511),f341(f116(x56511),x56512)),f124(x56511))) % 197.39/197.42 [5652]~P2(x56521)+P1(f341(f341(f344(x56521),f341(f116(x56521),x56522)),f189(x56521))) % 197.39/197.42 [5653]~P113(x56531)+P1(f341(f341(f344(x56531),f341(f117(x56531),x56532)),f124(x56531))) % 197.39/197.42 [5654]~P89(x56541)+P1(f341(f341(f344(x56541),f341(f118(x56541),x56542)),f124(x56541))) % 197.39/197.42 [5813]E(f341(a128,f57(a881,x58131,x58132)),x58132)+E(f57(a881,f341(a128,x58131),x58132),f341(a128,f57(a881,x58131,x58132))) % 197.39/197.42 [6232]P34(x62321,x62322)+~P1(f341(f341(f344(x62321),f443(x62322,x62321)),f330(x62321,x62322))) % 197.39/197.42 [6269]~P121(x62691)+~P1(f341(f341(f242(x62691),f341(f116(x62691),x62692)),f2(x62691))) % 197.39/197.42 [6270]~P81(x62701)+~P1(f341(f341(f242(x62701),f341(f85(x62701),x62702)),f2(x62701))) % 197.39/197.42 [6370]P1(f341(f341(f242(a1),x63701),f57(a1,x63702,x63701)))+~P1(f341(f341(f242(a1),x63701),f2(a1))) % 197.39/197.42 [6478]E(f341(f341(f318(a881),f341(a128,x64781)),f310(a881,x64782,x64781)),f310(a881,x64782,f341(a128,x64781)))+~P1(f341(f341(f241(a881),x64782),f341(a128,x64781))) % 197.39/197.42 [6567]~P101(x65671)+P16(x65671,f153(x65671,x65671,f7(x65671),x65672)) % 197.39/197.42 [6706]E(f341(f172(x67061),x67062),x67062)+~P1(f341(f341(f241(a881),f341(f194(f883(x67061)),x67062)),f89(a881))) % 197.39/197.42 [6723]~P81(x67231)+P1(f341(f341(f241(x67231),f341(f90(x67231),f341(f85(x67231),x67232))),f2(x67231))) % 197.39/197.42 [6755]~P34(x67551,x67552)+P34(x67551,f341(f341(f296(x67551,x67551,x67551),x67552),f315(x67551,x67552))) % 197.39/197.42 [6990]~P1(f341(f341(f242(a1),x69902),f2(a1)))+P1(f341(f341(f241(a1),f57(a1,x69901,x69902)),f2(a1))) % 197.39/197.42 [7384]~P2(x73841)+E(f195(x73841,f341(f341(f9(x73841,x73841,x73841),f91(x73841)),f89(x73841)),x73842,f2(x73841)),f341(f116(x73841),x73842)) % 197.39/197.42 [7411]~P123(x74111)+~P1(f341(f341(f242(x74111),f341(f341(f92(x74111),x74112),x74112)),f2(x74111))) % 197.39/197.42 [10010]~P114(x100101)+~P1(f341(f341(f242(x100101),f341(f341(f251(x100101),x100102),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f2(x100101))) % 197.39/197.42 [4668]~E(x46682,f129(x46681))+E(f341(f194(f883(x46681)),x46682),f2(a881)) % 197.39/197.42 [4703]~E(x47031,f2(a881))+E(f341(f341(f91(a881),x47031),x47032),x47032) % 197.39/197.42 [4704]~E(x47042,f2(a881))+E(f341(f341(f92(a881),x47041),x47042),f2(a881)) % 197.39/197.42 [4706]~E(x47061,f2(a881))+E(f341(f341(f92(a881),x47061),x47062),f2(a881)) % 197.39/197.42 [4707]~E(x47072,f2(a881))+E(f341(f341(f251(a881),x47071),x47072),f89(a881)) % 197.39/197.42 [4708]~E(x47082,f2(a1))+E(f341(f341(f38(a1),x47081),x47082),f2(a1)) % 197.39/197.42 [4718]E(x47181,f129(x47182))+~E(f341(f194(f883(x47182)),x47181),f2(a881)) % 197.39/197.42 [4720]~P93(x47201)+E(f341(f341(f92(x47201),x47202),x47202),x47202) % 197.39/197.42 [4722]~P101(x47221)+E(f341(f341(f246(x47221),x47222),x47222),x47222) % 197.39/197.42 [4724]~P101(x47241)+E(f341(f341(f192(x47241),x47242),x47242),x47242) % 197.39/197.42 [4726]~P94(x47261)+E(f341(f341(f125(x47261),x47262),x47262),x47262) % 197.39/197.42 [4727]~P95(x47271)+E(f341(f341(f125(x47271),x47272),x47272),x47272) % 197.39/197.42 [4728]~P95(x47281)+E(f341(f341(f126(x47281),x47282),x47282),x47282) % 197.39/197.42 [4730]~P100(x47301)+E(f341(f341(f126(x47301),x47302),x47302),x47302) % 197.39/197.42 [4746]~P73(x47461)+E(f341(f341(f3(x47461),x47462),x47462),f2(x47461)) % 197.39/197.42 [4757]~P73(x47571)+E(f341(f90(x47571),f341(f90(x47571),x47572)),x47572) % 197.39/197.42 [4758]~P92(x47581)+E(f341(f90(x47581),f341(f90(x47581),x47582)),x47582) % 197.39/197.42 [4775]~E(x47752,f2(a881))+E(f341(f341(f251(a881),x47751),x47752),f341(a128,f2(a881))) % 197.39/197.42 [4802]~P69(x48021)+E(f341(f341(f91(x48021),f2(x48021)),x48022),x48022) % 197.39/197.42 [4803]~P70(x48031)+E(f341(f341(f91(x48031),f2(x48031)),x48032),x48032) % 197.39/197.42 [4804]~P108(x48041)+E(f341(f341(f91(x48041),f2(x48041)),x48042),x48042) % 197.39/197.42 [4805]~P108(x48051)+E(f341(f341(f92(x48051),f89(x48051)),x48052),x48052) % 197.39/197.42 [4806]~P77(x48061)+E(f341(f341(f92(x48061),f89(x48061)),x48062),x48062) % 197.39/197.42 [4807]~P72(x48071)+E(f341(f341(f92(x48071),f89(x48071)),x48072),x48072) % 197.39/197.42 [4808]~P97(x48081)+E(f341(f341(f125(x48081),f193(x48081)),x48082),x48082) % 197.39/197.42 [4809]~P96(x48091)+E(f341(f341(f126(x48091),f249(x48091)),x48092),x48092) % 197.39/197.42 [4827]~P108(x48271)+E(f341(f341(f92(x48271),f2(x48271)),x48272),f2(x48271)) % 197.39/197.42 [4828]~P128(x48281)+E(f341(f341(f92(x48281),f2(x48281)),x48282),f2(x48281)) % 197.39/197.42 [4829]~P77(x48291)+E(f341(f341(f251(x48291),f89(x48291)),x48292),f89(x48291)) % 197.39/197.42 [4830]~P59(x48301)+E(f341(f341(f38(x48301),f2(x48301)),x48302),f2(x48301)) % 197.39/197.42 [4831]~P118(x48311)+E(f341(f341(f298(x48311),f2(x48311)),x48312),f2(x48311)) % 197.39/197.42 [4832]~P96(x48321)+E(f341(f341(f125(x48321),f249(x48321)),x48322),f249(x48321)) % 197.39/197.42 [4833]~P97(x48331)+E(f341(f341(f126(x48331),f193(x48331)),x48332),f193(x48331)) % 197.39/197.42 [4841]E(x48411,f129(x48412))+E(f149(x48412,f341(f173(x48412),x48411)),f341(f146(x48412),x48411)) % 197.39/197.42 [4842]E(x48421,f129(x48422))+E(f341(f146(x48422),f341(f173(x48422),x48421)),f149(x48422,x48421)) % 197.39/197.42 [4843]E(x48431,f2(a881))+~E(f341(f341(f91(a881),x48432),x48431),x48432) % 197.39/197.42 [4848]~P113(x48481)+E(f341(f117(x48481),f341(f116(a1),x48482)),f341(f116(x48481),x48482)) % 197.39/197.42 [4849]~P89(x48491)+E(f341(f117(x48491),f341(f118(a1),x48492)),f341(f118(x48491),x48492)) % 197.39/197.42 [4856]E(x48561,f2(a881))+~E(f341(f341(f91(a881),x48562),x48561),f2(a881)) % 197.39/197.42 [4857]E(x48571,f2(a881))+~E(f341(f341(f91(a881),x48571),x48572),f2(a881)) % 197.39/197.42 [4858]E(x48581,f89(a881))+~E(f341(f341(f92(a881),x48582),x48581),f89(a881)) % 197.39/197.42 [4859]E(x48591,f89(a881))+~E(f341(f341(f92(a881),x48591),x48592),f89(a881)) % 197.39/197.42 [4874]~P114(x48741)+E(f341(f85(x48741),f341(f116(x48741),x48742)),f341(f116(x48741),x48742)) % 197.39/197.42 [4875]~P81(x48751)+E(f341(f85(x48751),f341(f90(x48751),x48752)),f341(f85(x48751),x48752)) % 197.39/197.42 [4876]~P81(x48761)+E(f341(f85(x48761),f341(f85(x48761),x48762)),f341(f85(x48761),x48762)) % 197.39/197.42 [4877]~P70(x48771)+E(f341(f170(x48771),f341(f173(x48771),x48772)),f341(f170(x48771),x48772)) % 197.39/197.42 [4882]~E(x48821,f341(a128,f2(a881)))+E(f341(f341(f251(a881),x48821),x48822),f341(a128,f2(a881))) % 197.39/197.42 [4891]~P73(x48911)+E(f341(f341(f3(x48911),f2(x48911)),x48912),f341(f90(x48911),x48912)) % 197.39/197.42 [4892]~E(x48922,f2(a881))+E(f144(a881,f341(f309(a881,x48921),x48922)),f129(a881)) % 197.39/197.42 [4901]~P89(x49011)+E(f341(f341(f91(x49011),x49012),f341(f118(x49011),a94)),x49012) % 197.39/197.42 [4902]E(x49021,f2(a1))+E(f59(f341(f85(a1),x49022),f341(f85(a1),x49021)),f65(x49022,x49021)) % 197.39/197.42 [4916]~E(x49161,x49162)+P1(f341(f341(f241(a881),x49161),x49162)) % 197.39/197.42 [4920]~E(x49201,x49202)+P1(f341(f341(f294(a881),x49201),x49202)) % 197.39/197.42 [4926]~E(x49261,f2(a115))+E(f341(f341(f91(a881),f341(a22,x49261)),x49262),x49262) % 197.39/197.42 [4927]~E(f341(f118(a1),x49272),f341(f116(a1),x49271))+E(x49271,f341(a119,f341(f118(a1),x49272))) % 197.39/197.42 [4928]~P8(x49281)+E(f112(x49281,f341(f18(x49281,x49281),x49282)),x49282) % 197.39/197.42 [4937]~P9(x49371)+P9(f341(f341(f251(a1),x49371),x49372)) % 197.39/197.42 [4938]~P73(x49381)+E(f341(f341(f91(x49381),x49382),f341(f90(x49381),x49382)),f2(x49381)) % 197.39/197.42 [4939]~P92(x49391)+E(f341(f341(f125(x49391),x49392),f341(f90(x49391),x49392)),f249(x49391)) % 197.39/197.42 [4940]~P92(x49401)+E(f341(f341(f126(x49401),x49402),f341(f90(x49401),x49402)),f193(x49401)) % 197.39/197.42 [4963]E(x49631,f2(a881))+~E(f341(f90(a1),f341(f116(a1),x49632)),f341(f116(a1),x49631)) % 197.39/197.42 [4964]E(x49641,f2(a881))+~E(f341(f90(a1),f341(f116(a1),x49641)),f341(f116(a1),x49642)) % 197.39/197.42 [4974]E(f200(x49741,x49742),f2(a1))+P1(f341(f341(f241(a1),x49742),x49741)) % 197.39/197.42 [4975]E(f248(x49751,x49752),f2(a115))+P1(f341(f341(f242(a115),x49751),x49752)) % 197.39/197.42 [4976]E(f181(x49761,x49762),f129(a1))+P1(f341(f341(f241(a1),x49761),x49762)) % 197.39/197.42 [4989]E(x49891,f341(a128,f2(a881)))+~E(f341(f341(f92(a881),x49892),x49891),f341(a128,f2(a881))) % 197.39/197.42 [4990]E(x49901,f341(a128,f2(a881)))+~E(f341(f341(f92(a881),x49901),x49902),f341(a128,f2(a881))) % 197.39/197.42 [4991]~P104(x49911)+P1(f341(f341(f241(x49911),x49912),x49912)) % 197.39/197.42 [4992]~P108(x49921)+P1(f341(f341(f294(x49921),x49922),x49922)) % 197.39/197.42 [4995]~P89(x49951)+E(f341(f341(f92(x49951),x49952),f341(f118(x49951),a100)),f341(f90(x49951),x49952)) % 197.39/197.42 [5011]~P113(x50111)+E(f341(f90(x50111),f341(f117(x50111),x50112)),f341(f117(x50111),f341(f90(a1),x50112))) % 197.39/197.42 [5012]~P89(x50121)+E(f341(f90(x50121),f341(f118(x50121),x50122)),f341(f118(x50121),f341(f90(a1),x50122))) % 197.39/197.42 [5047]~E(x50471,f341(a128,x50472))+P1(f341(f341(f242(a881),f2(a881)),x50471)) % 197.39/197.42 [5065]~P101(x50651)+E(f341(f90(f889(x50651,a874)),f341(f308(x50651),x50652)),f341(f311(x50651),x50652)) % 197.39/197.42 [5066]~P101(x50661)+E(f341(f90(f889(x50661,a874)),f341(f311(x50661),x50662)),f341(f308(x50661),x50662)) % 197.39/197.42 [5067]~P101(x50671)+E(f341(f90(f889(x50671,a874)),f341(f268(x50671),x50672)),f341(f269(x50671),x50672)) % 197.39/197.42 [5068]~P101(x50681)+E(f341(f90(f889(x50681,a874)),f341(f269(x50681),x50682)),f341(f268(x50681),x50682)) % 197.39/197.42 [5078]~E(f341(f116(a1),x50782),x50781)+P1(f341(f341(f241(a1),f2(a1)),x50781)) % 197.39/197.42 [5085]~E(x50852,f2(a1))+E(f65(x50851,x50852),f341(f341(f257(a1,a1),f2(a1)),f341(f85(a1),x50851))) % 197.39/197.42 [5087]~P103(x50871)+P1(f341(f341(f241(x50871),f193(x50871)),x50872)) % 197.39/197.42 [5088]~P108(x50881)+P1(f341(f341(f294(x50881),f89(x50881)),x50882)) % 197.39/197.42 [5118]E(x51181,x51182)+~E(f341(f341(f91(a1),x51181),x51181),f341(f341(f91(a1),x51182),x51182)) % 197.39/197.42 [5124]~P1(f341(x51241,x51242))+P1(f341(x51241,f341(a119,f750(x51241)))) % 197.39/197.42 [5150]~P114(x51501)+E(f341(f341(f92(x51501),f93(x51501,x51502)),f341(f85(x51501),x51502)),x51502) % 197.39/197.42 [5151]E(x51511,x51512)+~P1(f341(f341(f199(a25),x51511),x51512)) % 197.39/197.42 [5158]~E(x51582,f2(a881))+E(f96(f888(a881,a881),f60(x51581,x51582)),f341(f341(f257(a881,a881),f2(a881)),x51581)) % 197.39/197.42 [5163]~E(x51631,x51632)+~P1(f341(f341(f242(a881),x51631),x51632)) % 197.39/197.42 [5164]~E(x51641,x51642)+~P1(f341(f341(f242(a1),x51641),x51642)) % 197.39/197.42 [5167]~P2(x51671)+E(f341(f341(f91(x51671),f89(x51671)),f341(f116(x51671),x51672)),f341(f116(x51671),f341(a128,x51672))) % 197.39/197.42 [5171]~E(x51711,f2(a881))+~P1(f341(f341(f242(a881),x51712),x51711)) % 197.39/197.42 [5185]E(f157(x51851,x51852),x51852)+~E(f341(f194(f883(x51851)),f157(x51851,x51852)),f341(f194(f883(x51851)),x51852)) % 197.39/197.42 [5186]E(f341(f37(x51861),f341(f176(x51861),x51862)),f341(f194(f883(x51861)),x51862))+~P1(f341(f142(x51861),x51862)) % 197.39/197.42 [5197]~P1(f341(x51971,f751(x51971)))+P1(f341(x51971,f341(f116(a1),x51972))) % 197.39/197.42 [5212]E(f248(x52121,x52122),x52122)+~P1(f341(f341(f242(a115),x52121),x52122)) % 197.39/197.42 [5214]E(f282(x52141,x52142),f89(a115))+~P1(f341(f341(f242(a115),x52142),x52141)) % 197.39/197.42 [5215]E(f181(x52151,x52152),f129(a1))+~P1(f341(f341(f242(a1),x52152),x52151)) % 197.39/197.42 [5216]~P105(x52161)+E(f310(x52161,x52162,x52162),f341(f341(f318(x52161),x52162),f193(f889(x52161,a874)))) % 197.39/197.42 [5235]~E(f341(f341(f3(a881),x52351),x52352),f2(a881))+P1(f341(f341(f241(a881),x52351),x52352)) % 197.39/197.42 [5259]~E(x52592,f2(a881))+E(f67(x52591,x52592,f129(x52591)),f341(f341(f156(f883(x52591)),f129(x52591)),f129(f883(x52591)))) % 197.39/197.42 [5263]~P104(x52631)+~P1(f341(f341(f242(x52631),x52632),x52632)) % 197.39/197.42 [5265]~E(f57(a1,x52651,x52652),f2(a1))+E(f57(a1,x52651,f341(f90(a1),x52652)),f2(a1)) % 197.39/197.42 [5267]~E(f57(a1,x52671,x52672),f2(a1))+E(f57(a1,f341(f90(a1),x52671),x52672),f2(a1)) % 197.39/197.42 [5273]E(f341(f309(a881,x52731),f341(a128,x52732)),f193(f889(a881,a874)))+P1(f341(f341(f241(a881),x52731),x52732)) % 197.39/197.42 [5290]E(f144(a881,f341(f309(a881,x52901),x52902)),f129(a881))+P1(f341(f341(f242(a881),x52901),x52902)) % 197.39/197.42 [5295]~E(f341(f37(x52951),f341(f176(x52951),x52952)),f341(f194(f883(x52951)),x52952))+P1(f341(f142(x52951),x52952)) % 197.39/197.42 [5299]~P1(f341(f142(x52991),x52992))+P1(f341(f142(x52991),f341(f172(x52991),x52992))) % 197.39/197.42 [5300]~P1(f341(f142(x53001),x53002))+P1(f341(f142(x53001),f341(f175(x53001),x53002))) % 197.39/197.42 [5301]~P1(f341(f142(x53011),x53012))+P1(f341(f142(x53011),f341(f173(x53011),x53012))) % 197.39/197.42 [5306]P1(f341(x53061,x53062))+~P1(f341(x53061,f341(a119,f841(x53061)))) % 197.39/197.42 [5307]P1(f341(f341(f241(a881),x53072),x53071))+P1(f341(f341(f241(a881),x53071),x53072)) % 197.39/197.42 [5308]P1(f341(f341(f241(a1),x53082),x53081))+P1(f341(f341(f241(a1),x53081),x53082)) % 197.39/197.42 [5310]~P81(x53101)+P1(f341(f341(f241(x53101),x53102),f341(f85(x53101),x53102))) % 197.39/197.42 [5313]P1(f341(x53131,f836(x53131)))+~P1(f341(x53131,f341(f116(a1),x53132))) % 197.39/197.42 [5335]E(f341(f341(f38(a881),x53351),x53352),f2(a881))+~P1(f341(f341(f242(a881),x53351),x53352)) % 197.39/197.42 [5337]E(f341(f341(f3(a881),x53371),x53372),f2(a881))+~P1(f341(f341(f241(a881),x53371),x53372)) % 197.39/197.42 [5354]E(f57(a881,x53541,x53542),x53541)+~P1(f341(f341(f242(a881),x53541),x53542)) % 197.39/197.42 [5361]E(f57(a1,x53611,f341(f90(a1),x53612)),f299(x53611,x53612))+P1(f341(f341(f241(a1),f2(a1)),x53612)) % 197.39/197.42 [5373]~P80(x53731)+E(f341(f341(f317(x53731,x53731),f90(x53731)),f341(f308(x53731),x53732)),f341(f269(x53731),f341(f90(x53731),x53732))) % 197.39/197.42 [5374]~P80(x53741)+E(f341(f341(f317(x53741,x53741),f90(x53741)),f341(f311(x53741),x53742)),f341(f268(x53741),f341(f90(x53741),x53742))) % 197.39/197.42 [5375]~P80(x53751)+E(f341(f341(f317(x53751,x53751),f90(x53751)),f341(f268(x53751),x53752)),f341(f311(x53751),f341(f90(x53751),x53752))) % 197.39/197.42 [5376]~P80(x53761)+E(f341(f341(f317(x53761,x53761),f90(x53761)),f341(f269(x53761),x53762)),f341(f308(x53761),f341(f90(x53761),x53762))) % 197.39/197.42 [5378]E(f341(f341(f3(a1),x53781),x53782),f200(x53781,x53782))+~P1(f341(f341(f241(a1),x53782),x53781)) % 197.39/197.42 [5397]P1(f341(f341(f241(a1),f2(a1)),f751(x53971)))+P1(f341(x53971,f341(f116(a1),x53972))) % 197.39/197.42 [5410]~P121(x54101)+P1(f341(f341(f241(x54101),f2(x54101)),f341(f116(x54101),x54102))) % 197.39/197.42 [5411]~P81(x54111)+P1(f341(f341(f241(x54111),f2(x54111)),f341(f85(x54111),x54112))) % 197.39/197.42 [5439]E(f341(f341(f91(a881),x54391),f831(x54392,x54391)),x54392)+~P1(f341(f341(f241(a881),x54391),x54392)) % 197.39/197.42 [5451]~E(f341(f118(a1),x54511),f341(f116(a1),x54512))+P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x54511))) % 197.39/197.42 [5454]E(f310(a1,x54541,x54542),f193(f889(a1,a874)))+~P1(f341(f341(f242(a1),x54542),x54541)) % 197.39/197.42 [5457]~P114(x54571)+E(f341(f341(f92(x54571),f341(f85(x54571),x54572)),f341(f85(x54571),x54572)),f341(f341(f92(x54571),x54572),x54572)) % 197.39/197.42 [5462]E(f144(a881,f341(f309(a881,x54621),f341(a128,x54622))),f129(a881))+P1(f341(f341(f241(a881),x54621),x54622)) % 197.39/197.42 [5466]E(f341(f341(f38(a1),x54661),x54662),f300(x54661,x54662))+~P1(f341(f341(f241(a1),f2(a1)),x54662)) % 197.39/197.42 [5486]P1(f341(f142(x54861),x54862))+~P1(f341(f142(x54861),f341(f172(x54861),x54862))) % 197.39/197.42 [5487]P1(f341(f142(x54871),x54872))+~P1(f341(f142(x54871),f341(f173(x54871),x54872))) % 197.39/197.42 [5510]P1(f341(f72(a881),x55101))+P1(f341(f341(f344(a881),f549(x55101,x55102)),x55101)) % 197.39/197.42 [5511]P1(f341(f72(a881),x55111))+P1(f341(f341(f344(a881),f601(x55111,x55112)),x55111)) % 197.39/197.42 [5512]P1(f341(f341(f242(a881),x55122),f341(a128,x55121)))+P1(f341(f341(f242(a881),x55121),x55122)) % 197.39/197.42 [5513]E(f57(a1,x55131,x55132),f299(x55131,x55132))+~P1(f341(f341(f241(a1),f2(a1)),x55132)) % 197.39/197.42 [5516]E(f144(a881,f341(f309(a881,x55161),x55162)),f129(a881))+~P1(f341(f341(f241(a881),x55162),x55161)) % 197.39/197.42 [5527]E(x55271,f193(f889(x55272,a874)))+P1(f341(f341(f344(x55272),f641(x55271,x55272)),x55271)) % 197.39/197.42 [5528]E(x55281,f193(f889(x55282,a874)))+P1(f341(f341(f344(x55282),f642(x55281,x55282)),x55281)) % 197.39/197.42 [5539]~P1(f341(f341(f242(a881),x55391),x55392))+P1(f341(f341(f241(a881),x55391),x55392)) % 197.39/197.42 [5540]~P1(f341(f341(f242(a1),x55401),x55402))+P1(f341(f341(f241(a1),x55401),x55402)) % 197.39/197.42 [5553]E(f59(x55531,x55532),f341(f341(f257(a1,a1),f2(a1)),x55531))+~P1(f341(f341(f242(a1),x55531),x55532)) % 197.39/197.42 [5554]E(f222(f341(f90(a1),x55541),f341(f90(a1),x55542)),f222(x55541,x55542))+~P1(f341(f341(f242(a1),x55542),f2(a1))) % 197.39/197.42 [5566]E(x55661,x55662)+~E(f341(a5,f341(a128,f341(a22,x55661))),f341(a5,f341(a128,f341(a22,x55662)))) % 197.39/197.42 [5572]E(f59(x55721,x55722),f341(f341(f257(a1,a1),f2(a1)),x55721))+~P1(f341(f341(f241(a1),x55722),f2(a1))) % 197.39/197.42 [5596]E(f57(a881,f341(f118(a881),x55961),f341(f118(a881),x55962)),f2(a881))+~P1(f341(a198,f341(f118(a1),x55961))) % 197.39/197.42 [5610]P1(f341(f341(f241(a1),f2(a1)),f836(x56101)))+~P1(f341(x56101,f341(f116(a1),x56102))) % 197.39/197.42 [5622]E(x56221,x56222)+~E(f341(f341(f317(a881,a1),f116(a1)),x56221),f341(f341(f317(a881,a1),f116(a1)),x56222)) % 197.39/197.42 [5643]P36(f310(a1,x56431,x56432))+~P1(f341(f341(f241(a1),f2(a1)),x56431)) % 197.39/197.42 [5647]~P1(f341(f72(x56471),x56472))+P1(f341(f72(f889(x56471,a874)),f341(f316(x56471),x56472))) % 197.39/197.42 [5660]E(f341(f341(f91(a1),x56601),f341(f116(a1),f847(x56602,x56601))),x56602)+~P1(f341(f341(f241(a1),x56601),x56602)) % 197.39/197.42 [5668]P1(f341(f341(f241(a881),x56681),x56682))+P1(f341(f341(f241(a881),f341(a128,x56682)),x56681)) % 197.39/197.42 [5712]E(f341(f341(f38(a881),f341(f118(a881),x57121)),f341(f118(a881),x57122)),f2(a881))+~P1(f341(a198,f341(f118(a1),x57121))) % 197.39/197.42 [5713]E(f341(f341(f92(a881),f341(f118(a881),x57131)),f341(f118(a881),x57132)),f2(a881))+~P1(f341(f341(f242(a1),x57131),a94)) % 197.39/197.42 [5715]P1(f341(f341(f242(a881),x57151),f341(a128,x57152)))+~P1(f341(f341(f242(a881),x57151),x57152)) % 197.39/197.42 [5717]P1(f341(f341(f242(a881),x57171),f341(a128,x57172)))+~P1(f341(f341(f241(a881),x57171),x57172)) % 197.39/197.42 [5719]P1(f341(f341(f241(a881),x57191),f341(a128,x57192)))+~P1(f341(f341(f241(a881),x57191),x57192)) % 197.39/197.42 [5722]~E(x57221,x57222)+P1(f341(f341(f242(a1),x57221),f341(f341(f91(a1),x57222),f89(a1)))) % 197.39/197.42 [5725]E(f57(a1,x57251,x57252),f2(a1))+E(f341(f341(f3(a1),x57252),f57(a1,x57251,x57252)),f57(a1,f341(f90(a1),x57251),x57252)) % 197.39/197.42 [5741]E(x57411,f129(x57412))+P1(f341(f341(f344(x57412),f149(x57412,x57411)),f341(f176(x57412),x57411))) % 197.39/197.42 [5753]E(f96(f888(a881,a881),f60(x57531,x57532)),f341(f341(f257(a881,a881),f2(a881)),x57531))+~P1(f341(f341(f242(a881),x57531),x57532)) % 197.39/197.42 [5794]E(f341(f341(f91(a881),f341(f118(a881),x57941)),f341(f118(a881),x57942)),f341(f118(a881),x57942))+~P1(f341(f341(f242(a1),x57941),a94)) % 197.39/197.42 [5795]E(f341(f341(f3(a881),f341(f118(a881),x57951)),f341(f118(a881),x57952)),f341(f118(a881),x57951))+~P1(f341(f341(f242(a1),x57952),a94)) % 197.39/197.42 [5800]E(f341(a128,f341(f341(f91(a881),x58001),f711(x58002,x58001))),x58002)+~P1(f341(f341(f242(a881),x58001),x58002)) % 197.39/197.42 [5805]~P1(f341(f341(f294(a1),x58051),x58052))+P1(f341(f341(f294(a1),x58051),f341(f90(a1),x58052))) % 197.39/197.42 [5824]P1(f341(x58241,x58242))+~P1(f341(x58241,f341(a5,f412(x58242,x58241)))) % 197.39/197.42 [5834]~P1(f341(f341(f242(a881),x58341),f341(a128,x58342)))+P1(f341(f341(f241(a881),x58341),x58342)) % 197.39/197.42 [5885]E(f341(f341(f318(a881),x58851),f341(f309(a881,x58852),x58851)),f341(f309(a881,x58852),f341(a128,x58851)))+~P1(f341(f341(f241(a881),x58852),x58851)) % 197.39/197.42 [5888]E(x58881,f129(x58882))+E(f341(f341(f137(x58882),f130(x58882,x58881)),f341(f341(f156(x58882),f149(x58882,x58881)),f129(x58882))),x58881) % 197.39/197.42 [5901]P1(f341(f72(x59011),x59012))+~P1(f341(f341(f242(a881),f2(a881)),f341(f37(x59011),x59012))) % 197.39/197.42 [5906]~E(x59061,f193(f889(x59062,a874)))+~P1(f341(f341(f242(a881),f2(a881)),f341(f37(x59062),x59061))) % 197.39/197.42 [5916]~P1(f341(f341(f242(a881),x59161),x59162))+P1(f341(f341(f241(a881),f341(a128,x59161)),x59162)) % 197.39/197.42 [5921]~P101(x59211)+E(f153(x59211,x59211,f7(x59211),f157(x59211,x59212)),f144(x59211,f341(f176(x59211),x59212))) % 197.39/197.42 [5924]E(x59241,f129(x59242))+P1(f341(f341(f344(x59242),f341(f146(x59242),x59241)),f341(f176(x59242),x59241))) % 197.39/197.42 [5930]~P121(x59301)+P1(f341(f341(f242(x59301),x59302),f341(f341(f91(x59301),x59302),f89(x59301)))) % 197.39/197.42 [5932]~P81(x59321)+P1(f341(f341(f241(x59321),f341(f90(x59321),x59322)),f341(f85(x59321),x59322))) % 197.39/197.42 [5947]P1(f341(f341(f294(a1),x59471),x59472))+~P1(f341(f341(f294(a1),x59471),f341(f90(a1),x59472))) % 197.39/197.42 [5948]~E(x59481,x59482)+E(f297(a881,f294(a881),x59481,x59482),f341(f341(f318(a881),x59481),f193(f889(a881,a874)))) % 197.39/197.42 [5970]P1(f341(f72(a881),x59701))+~P1(f341(f341(f242(a881),f601(x59701,x59702)),x59702)) % 197.39/197.42 [5971]P1(f341(f72(a881),x59711))+~P1(f341(f341(f241(a881),f549(x59711,x59712)),x59712)) % 197.39/197.42 [5977]~P1(f341(f72(f888(x59771,x59771)),x59772))+P1(f341(f72(x59771),f341(f291(x59771),x59772))) % 197.39/197.42 [6026]E(f297(a881,f294(a881),x60261,x60262),f193(f889(a881,a874)))+P1(f341(f341(f294(a881),x60261),x60262)) % 197.39/197.42 [6033]~P1(f341(f341(f242(a881),x60332),f341(a128,x60331)))+~P1(f341(f341(f242(a881),x60331),x60332)) % 197.39/197.42 [6034]~P105(x60341)+E(f341(f341(f126(f889(x60341,a874)),f341(f308(x60341),x60342)),f341(f269(x60341),x60342)),f341(f341(f318(x60341),x60342),f193(f889(x60341,a874)))) % 197.39/197.42 [6045]P1(f341(f72(x60451),x60452))+~P1(f341(f72(f889(x60451,a874)),f341(f316(x60451),x60452))) % 197.39/197.42 [6070]P1(f341(f341(f242(a881),f341(a128,x60701)),f341(a128,x60702)))+~P1(f341(f341(f242(a881),x60701),x60702)) % 197.39/197.42 [6071]P1(f341(f341(f242(a881),f341(a22,x60711)),f341(a22,x60712)))+~P1(f341(f341(f242(a115),x60711),x60712)) % 197.39/197.42 [6072]P1(f341(f341(f242(a115),f341(a5,x60721)),f341(a5,x60722)))+~P1(f341(f341(f242(a881),x60721),x60722)) % 197.39/197.42 [6073]P1(f341(f341(f241(a881),f341(a128,x60731)),f341(a128,x60732)))+~P1(f341(f341(f241(a881),x60731),x60732)) % 197.39/197.42 [6074]P1(f341(f341(f241(a881),f341(a22,x60741)),f341(a22,x60742)))+~P1(f341(f341(f241(a115),x60741),x60742)) % 197.39/197.42 [6075]P1(f341(f341(f241(a115),f341(a5,x60751)),f341(a5,x60752)))+~P1(f341(f341(f241(a881),x60751),x60752)) % 197.39/197.42 [6092]P1(f341(f341(f242(a881),x60921),x60922))+~P1(f341(f341(f242(a881),f341(a128,x60921)),x60922)) % 197.39/197.42 [6095]P1(f341(f341(f242(a881),x60951),x60952))+~P1(f341(f341(f241(a881),f341(a128,x60951)),x60952)) % 197.39/197.42 [6096]P1(f341(f341(f241(a881),x60961),x60962))+~P1(f341(f341(f241(a881),f341(a128,x60961)),x60962)) % 197.39/197.42 [6112]E(f57(a1,x61121,x61122),f2(a1))+E(f341(f341(f3(a1),f57(a1,x61121,x61122)),x61122),f57(a1,x61121,f341(f90(a1),x61122))) % 197.39/197.42 [6174]E(f341(f37(f889(x61741,a874)),f341(f316(x61741),x61742)),f341(f341(f251(a881),f341(a128,f341(a128,f2(a881)))),f341(f37(x61741),x61742)))+~P1(f341(f72(x61741),x61742)) % 197.39/197.42 [6177]E(x61771,f129(x61772))+E(f341(f341(f169(x61772),x61771),f341(f341(f3(a881),f341(f194(f883(x61772)),x61771)),f89(a881))),f149(x61772,x61771)) % 197.39/197.42 [6199]E(x61991,f129(x61992))+E(f341(f341(f137(x61992),f341(f175(x61992),x61991)),f341(f341(f156(x61992),f341(f146(x61992),x61991)),f129(x61992))),f341(f172(x61992),x61991)) % 197.39/197.42 [6231]~P1(f341(f72(x62311),f39(f889(x62311,a874),x62312)))+P1(f341(f72(f889(x62311,a874)),x62312)) % 197.39/197.42 [6249]P1(f341(f341(f241(a881),f341(f118(a881),x62491)),f341(f118(a881),x62492)))+~P1(f341(f341(f241(a1),x62491),a94)) % 197.39/197.42 [6273]~P1(f341(f341(f242(a1),x62731),x62732))+P1(f341(f341(f242(a1),x62731),f341(f341(f91(a1),x62732),f89(a1)))) % 197.39/197.42 [6274]~P1(f341(f341(f241(a1),x62741),x62742))+P1(f341(f341(f242(a1),x62741),f341(f341(f91(a1),x62742),f89(a1)))) % 197.39/197.42 [6275]~P1(f341(f341(f242(a1),x62751),x62752))+P1(f341(f341(f241(a1),x62751),f341(f341(f3(a1),x62752),f89(a1)))) % 197.39/197.42 [6278]~P1(f341(f341(f242(a881),x62781),x62782))+P1(f341(f341(f242(a1),f341(f116(a1),x62781)),f341(f116(a1),x62782))) % 197.39/197.42 [6279]~P1(f341(f341(f242(a1),x62791),x62792))+P1(f341(f341(f242(a1),f341(f118(a1),x62791)),f341(f118(a1),x62792))) % 197.39/197.42 [6280]~P1(f341(f341(f241(a1),x62801),x62802))+P1(f341(f341(f241(a881),f341(f118(a881),x62801)),f341(f118(a881),x62802))) % 197.39/197.42 [6282]~P1(f341(f341(f241(a881),x62821),x62822))+P1(f341(f341(f241(a1),f341(f116(a1),x62821)),f341(f116(a1),x62822))) % 197.39/197.42 [6283]~P1(f341(f341(f241(a1),x62831),x62832))+P1(f341(f341(f241(a1),f341(f118(a1),x62831)),f341(f118(a1),x62832))) % 197.39/197.42 [6285]~P1(f341(f341(f294(a881),x62851),x62852))+P1(f341(f341(f294(a1),f341(f116(a1),x62851)),f341(f116(a1),x62852))) % 197.39/197.42 [6302]~P1(f341(f341(f241(a881),x63021),x63022))+~P1(f341(f341(f241(a881),f341(a128,x63022)),x63021)) % 197.39/197.42 [6355]~P1(f341(f341(f242(a881),f341(a128,x63551)),f341(a128,x63552)))+P1(f341(f341(f242(a881),x63551),x63552)) % 197.39/197.42 [6356]~P1(f341(f341(f242(a115),f341(a5,x63561)),f341(a5,x63562)))+P1(f341(f341(f242(a881),x63561),x63562)) % 197.39/197.42 [6357]~P1(f341(f341(f242(a881),f341(a119,x63571)),f341(a119,x63572)))+P1(f341(f341(f242(a1),x63571),x63572)) % 197.39/197.42 [6358]~P1(f341(f341(f242(a881),f341(a22,x63581)),f341(a22,x63582)))+P1(f341(f341(f242(a115),x63581),x63582)) % 197.39/197.42 [6359]~P1(f341(f341(f241(a881),f341(a128,x63591)),f341(a128,x63592)))+P1(f341(f341(f241(a881),x63591),x63592)) % 197.39/197.42 [6360]~P1(f341(f341(f241(a115),f341(a5,x63601)),f341(a5,x63602)))+P1(f341(f341(f241(a881),x63601),x63602)) % 197.39/197.42 [6361]~P1(f341(f341(f241(a881),f341(a22,x63611)),f341(a22,x63612)))+P1(f341(f341(f241(a115),x63611),x63612)) % 197.39/197.42 [6404]~P1(f341(f341(f242(a881),f341(a119,x64042)),f341(a119,x64041)))+P1(f341(f341(f242(a1),f2(a1)),x64041)) % 197.39/197.42 [6416]~E(f57(a1,f341(f118(a1),x64162),f341(f118(a1),x64161)),f2(a1))+P1(f341(f341(f294(a1),f341(f118(a1),x64161)),f341(f118(a1),x64162))) % 197.39/197.42 [6438]P1(f341(f341(f241(a1),f2(a1)),f57(a1,x64381,x64382)))+~P1(f341(f341(f242(a1),f2(a1)),x64382)) % 197.39/197.42 [6604]P34(x66041,x66042)+~E(f341(f341(f296(x66041,x66041,x66041),x66042),x66042),f193(f889(f888(x66041,x66041),a874))) % 197.39/197.42 [6621]~P34(x66211,x66212)+P34(x66211,f341(f341(f296(x66211,x66211,x66211),x66212),x66212)) % 197.39/197.42 [6632]P1(f341(f341(f242(a1),x66321),x66322))+~P1(f341(f341(f241(a1),x66321),f341(f341(f3(a1),x66322),f89(a1)))) % 197.39/197.42 [6633]P1(f341(f341(f241(a1),x66331),x66332))+~P1(f341(f341(f242(a1),x66331),f341(f341(f91(a1),x66332),f89(a1)))) % 197.39/197.42 [6636]P1(f341(f341(f242(a881),x66361),x66362))+~P1(f341(f341(f242(a1),f341(f116(a1),x66361)),f341(f116(a1),x66362))) % 197.39/197.42 [6637]P1(f341(f341(f242(a1),x66371),x66372))+~P1(f341(f341(f242(a881),f341(f118(a881),x66371)),f341(f118(a881),x66372))) % 197.39/197.42 [6638]P1(f341(f341(f242(a1),x66381),x66382))+~P1(f341(f341(f242(a1),f341(f118(a1),x66381)),f341(f118(a1),x66382))) % 197.39/197.42 [6640]P1(f341(f341(f241(a881),x66401),x66402))+~P1(f341(f341(f241(a1),f341(f116(a1),x66401)),f341(f116(a1),x66402))) % 197.39/197.42 [6641]P1(f341(f341(f241(a1),x66411),x66412))+~P1(f341(f341(f241(a1),f341(f118(a1),x66411)),f341(f118(a1),x66412))) % 197.39/197.42 [6643]P1(f341(f341(f294(a881),x66431),x66432))+~P1(f341(f341(f294(a1),f341(f116(a1),x66431)),f341(f116(a1),x66432))) % 197.39/197.42 [6702]E(f57(a1,f341(f118(a1),x67021),f341(f118(a1),x67022)),f2(a1))+~P1(f341(f341(f294(a1),f341(f118(a1),x67022)),f341(f118(a1),x67021))) % 197.39/197.42 [6714]~E(f297(a881,f294(a881),x67141,x67142),f193(f889(a881,a874)))+~P1(f341(f341(f294(a881),x67141),x67142)) % 197.39/197.42 [6739]~E(f542(x67392,x67391),f129(x67391))+E(f341(f147(f883(x67391),f883(x67391),f137(x67391),f129(x67391)),x67392),f129(x67391)) % 197.39/197.42 [6740]~E(f544(x67402,x67401),f129(x67401))+E(f341(f147(f883(x67401),f883(x67401),f137(x67401),f129(x67401)),x67402),f129(x67401)) % 197.39/197.42 [6743]~P8(x67431)+E(f341(f147(x67431,x67431,f125(x67431),f193(x67431)),x67432),f39(x67431,f341(f176(x67431),x67432))) % 197.39/197.42 [6744]~P8(x67441)+E(f341(f147(x67441,x67441,f126(x67441),f249(x67441)),x67442),f40(x67441,f341(f176(x67441),x67442))) % 197.39/197.42 [6756]E(x67561,f2(a115))+E(f341(f341(f91(a881),f341(a22,f341(f341(f3(a115),x67561),f89(a115)))),f341(a128,x67562)),f341(f341(f91(a881),f341(a22,x67561)),x67562)) % 197.39/197.42 [6808]P1(f341(f341(f242(a1),f341(f341(f3(a1),x68081),x68082)),f2(a1)))+~P1(f341(f341(f242(a1),x68081),x68082)) % 197.39/197.42 [6833]~P101(x68331)+E(f341(f341(f125(f889(x68331,a874)),f341(f341(f318(x68331),x68332),f193(f889(x68331,a874)))),f341(f311(x68331),x68332)),f341(f269(x68331),x68332)) % 197.39/197.42 [6917]~P58(x69171,x69172)+P34(x69171,f341(f267(f888(x69171,x69171)),f341(f262(x69171,x69171,a874),x69172))) % 197.39/197.42 [6918]~P58(x69181,x69182)+P56(x69181,f341(f267(f888(x69181,x69181)),f341(f262(x69181,x69181,a874),x69182))) % 197.39/197.42 [6919]E(x69191,f193(f889(x69192,a874)))+~P1(f341(f341(f241(f889(x69192,a874)),x69191),f193(f889(x69192,a874)))) % 197.39/197.42 [7005]~P1(f341(f341(f242(a881),f2(a881)),x70052))+P1(f341(f341(f242(a881),f57(a881,x70051,x70052)),x70052)) % 197.39/197.42 [7007]~P1(f341(f341(f242(a1),f2(a1)),x70072))+P1(f341(f341(f242(a1),f57(a1,x70071,x70072)),x70072)) % 197.39/197.42 [7008]~P1(f341(f341(f242(a881),f2(a881)),x70082))+P1(f341(f341(f241(a881),f57(a881,x70081,x70082)),x70082)) % 197.39/197.42 [7009]~P1(f341(f341(f241(a1),f2(a1)),x70091))+P1(f341(f341(f241(a1),f57(a1,x70091,x70092)),x70091)) % 197.39/197.42 [7087]~P105(x70871)+E(f341(f341(f3(f889(x70871,a874)),f341(f341(f318(x70871),x70872),f193(f889(x70871,a874)))),f341(f268(x70871),x70872)),f341(f341(f318(x70871),x70872),f193(f889(x70871,a874)))) % 197.39/197.42 [7164]~P48(x71641,x71642)+P46(x71641,f249(f889(x71641,a874)),f341(f267(f888(x71641,x71641)),f341(f262(x71641,x71641,a874),x71642))) % 197.39/197.42 [7206]E(f341(f341(f137(a881),f144(a881,f341(f309(a881,x72061),x72062))),f341(f341(f156(a881),x72062),f129(a881))),f144(a881,f341(f309(a881,x72061),f341(a128,x72062))))+~P1(f341(f341(f241(a881),x72061),x72062)) % 197.39/197.42 [7349]E(x73491,f2(a881))+~E(f341(f147(a881,a881,f91(a881),x73491),x73492),f2(a881)) % 197.39/197.42 [7376]~P1(f341(f341(f242(a1),f341(f341(f3(a1),x73761),x73762)),f2(a1)))+P1(f341(f341(f242(a1),x73761),x73762)) % 197.39/197.42 [7405]P34(x74051,x74052)+~P34(x74051,f341(f341(f296(x74051,x74051,x74051),x74052),x74052)) % 197.39/197.42 [7637]E(f341(f341(f341(f75(a881,x76371,f91(a881)),f341(f18(a881,x76371),f89(a881))),f2(a881)),x76372),f341(f37(x76371),x76372))+~P1(f341(f72(x76371),x76372)) % 197.39/197.42 [7741]P58(x77411,x77412)+~P34(x77411,f341(f267(f888(x77411,x77411)),f341(f262(x77411,x77411,a874),x77412))) % 197.39/197.42 [7862]P1(f341(f341(f344(f888(a881,a881)),f341(f341(f257(a881,a881),x78621),x78622)),f315(a881,a331)))+~P1(f341(f341(f241(a881),x78621),x78622)) % 197.39/197.42 [7958]P48(x79581,x79582)+~P46(x79581,f249(f889(x79581,a874)),f341(f267(f888(x79581,x79581)),f341(f262(x79581,x79581,a874),x79582))) % 197.39/197.42 [8017]~P1(f341(f142(x80171),x80172))+P1(f341(f142(f889(x80171,a874)),f341(f341(f159(f883(x80171),f889(x80171,a874)),f176(x80171)),f66(x80171,x80172)))) % 197.39/197.42 [8226]~P34(x82261,f341(f293(x82261,x82261),x82262))+P34(x82261,f341(f293(x82261,x82261),f341(f341(f296(x82261,x82261,x82261),x82262),f315(x82261,x82262)))) % 197.39/197.42 [8341]P1(f341(f72(f888(x83411,x83411)),f341(f341(f296(x83411,x83411,x83411),x83412),f315(x83411,x83412))))+~P1(f341(f72(f888(x83411,x83411)),x83412)) % 197.39/197.42 [8367]E(x83671,f2(a1))+P1(f341(f61(x83672,x83671),f341(f341(f257(a1,a1),f341(f341(f38(a1),x83672),x83671)),f57(a1,x83672,x83671)))) % 197.39/197.42 [8379]~P1(f341(f341(f344(f888(a881,a881)),f341(f341(f257(a881,a881),x83791),x83792)),f315(a881,a331)))+P1(f341(f341(f241(a881),x83791),x83792)) % 197.39/197.42 [8400]~P69(x84001)+E(f341(f147(x84001,x84001,f341(f9(x84001,x84001,x84001),f91(x84001)),f2(x84001)),f341(f173(x84001),x84002)),f341(f147(x84001,x84001,f91(x84001),f2(x84001)),x84002)) % 197.39/197.42 [8590]~P101(x85901)+E(f341(f147(f883(x85901),x85901,f341(f9(x85901,f883(x85901),f883(x85901)),f154(x85901,x85901,f7(x85901))),f129(x85901)),x85902),f153(x85901,x85901,f7(x85901),x85902)) % 197.39/197.42 [8683]~P56(x86831,f341(f267(f888(x86831,x86831)),f341(f262(x86831,x86831,a874),x86832)))+P56(x86831,f341(f267(f888(x86831,x86831)),f341(f262(x86831,x86831,a874),f250(x86831,x86831,x86832)))) % 197.39/197.42 [8697]P1(f341(f341(f344(f888(a881,a881)),f341(f341(f257(a881,a881),x86971),x86972)),f341(f341(f296(a881,a881,a881),a331),f315(a881,a331))))+~P1(f341(f341(f242(a881),x86971),x86972)) % 197.39/197.42 [8746]~P1(f341(f72(f888(x87461,x87461)),f341(f341(f296(x87461,x87461,x87461),x87462),f315(x87461,x87462))))+P1(f341(f72(f888(x87461,x87461)),x87462)) % 197.39/197.42 [8801]~P56(x88011,f341(f267(f888(x88011,x88011)),f341(f262(x88011,x88011,a874),f250(x88011,x88011,x88012))))+P56(x88011,f341(f267(f888(x88011,x88011)),f341(f262(x88011,x88011,a874),x88012))) % 197.39/197.42 [9007]P56(x90071,x90072)+P1(f341(f341(f344(f888(x90071,x90071)),f341(f341(f257(x90071,x90071),f471(x90072,x90071)),f471(x90072,x90071))),f341(f341(f296(x90071,x90071,x90071),x90072),f315(x90071,x90072)))) % 197.39/197.42 [9008]P56(x90081,x90082)+P1(f341(f341(f344(f888(x90081,x90081)),f341(f341(f257(x90081,x90081),f472(x90082,x90081)),f472(x90082,x90081))),f341(f341(f296(x90081,x90081,x90081),x90082),f315(x90081,x90082)))) % 197.39/197.42 [9114]~P1(f341(f341(f344(f888(a881,a881)),f341(f341(f257(a881,a881),x91141),x91142)),f341(f341(f296(a881,a881,a881),a331),f315(a881,a331))))+P1(f341(f341(f242(a881),x91141),x91142)) % 197.39/197.42 [5061]~P89(x50611)+E(f341(f341(f91(x50611),f341(f118(x50611),a94)),x50612),x50612) % 197.39/197.42 [5093]~P73(x50931)+E(f341(f341(f91(x50931),f341(f90(x50931),x50932)),x50932),f2(x50931)) % 197.39/197.42 [5094]~P60(x50941)+E(f341(f341(f91(x50941),f341(f90(x50941),x50942)),x50942),f2(x50941)) % 197.39/197.42 [5095]~P92(x50951)+E(f341(f341(f125(x50951),f341(f90(x50951),x50952)),x50952),f249(x50951)) % 197.39/197.42 [5096]~P92(x50961)+E(f341(f341(f126(x50961),f341(f90(x50961),x50962)),x50962),f193(x50961)) % 197.39/197.42 [5128]~P89(x51281)+E(f341(f341(f92(x51281),f341(f118(x51281),a100)),x51282),f341(f90(x51281),x51282)) % 197.39/197.42 [5284]~P111(x52841)+E(f341(f341(f92(x52841),f341(f90(x52841),f89(x52841))),x52842),f341(f90(x52841),x52842)) % 197.39/197.42 [5320]E(f341(f85(a1),x53201),f89(a1))+~E(f341(f85(a1),f341(f341(f92(a1),x53201),x53202)),f89(a1)) % 197.39/197.42 [5415]~P89(x54151)+E(f341(f341(f91(x54151),f89(x54151)),f341(f118(x54151),x54152)),f341(f118(x54151),f341(f341(f3(a1),x54152),a100))) % 197.39/197.42 [5467]~P95(x54671)+E(f12(x54671,f341(f341(f318(x54671),x54672),f193(f889(x54671,a874)))),x54672) % 197.39/197.42 [5468]~P95(x54681)+E(f13(x54681,f341(f341(f318(x54681),x54682),f193(f889(x54681,a874)))),x54682) % 197.39/197.42 [5469]~P101(x54691)+E(f16(x54691,f341(f341(f318(x54691),x54692),f193(f889(x54691,a874)))),x54692) % 197.39/197.42 [5470]~P101(x54701)+E(f17(x54701,f341(f341(f318(x54701),x54702),f193(f889(x54701,a874)))),x54702) % 197.39/197.42 [5471]~P8(x54711)+E(f39(x54711,f341(f341(f318(x54711),x54712),f193(f889(x54711,a874)))),x54712) % 197.39/197.42 [5472]~P8(x54721)+E(f40(x54721,f341(f341(f318(x54721),x54722),f193(f889(x54721,a874)))),x54722) % 197.39/197.42 [5494]E(f341(f341(f91(a881),x54941),f341(f341(f3(a881),x54942),x54941)),x54942)+P1(f341(f341(f242(a881),x54942),x54941)) % 197.39/197.42 [5522]E(x55221,f129(x55222))+P1(f341(f341(f242(a881),f2(a881)),f341(f194(f883(x55222)),x55221))) % 197.39/197.42 [5640]~P101(x56401)+E(f14(x56401,f246(x56401),f341(f341(f318(x56401),x56402),f193(f889(x56401,a874)))),x56402) % 197.39/197.42 [5641]~P101(x56411)+E(f15(x56411,f192(x56411),f341(f341(f318(x56411),x56412),f193(f889(x56411,a874)))),x56412) % 197.39/197.42 [5700]E(f341(f341(f91(a881),x57001),f341(f341(f3(a881),x57002),x57001)),x57002)+~P1(f341(f341(f241(a881),x57001),x57002)) % 197.39/197.42 [5701]E(f341(f341(f92(a1),x57011),f341(f341(f38(a1),x57012),x57011)),x57012)+~P1(f341(f341(f294(a1),x57011),x57012)) % 197.39/197.42 [5702]E(f341(f341(f3(a881),x57021),f341(f341(f3(a881),x57021),x57022)),x57022)+~P1(f341(f341(f241(a881),x57022),x57021)) % 197.39/197.42 [5724]E(f57(a881,f341(f341(f3(a881),x57241),x57242),x57242),f57(a881,x57241,x57242))+P1(f341(f341(f242(a881),x57241),x57242)) % 197.39/197.42 [5742]E(f341(f90(a1),f341(f341(f38(a1),x57421),f341(f90(a1),x57422))),f300(x57421,x57422))+P1(f341(f341(f241(a1),f2(a1)),x57422)) % 197.39/197.42 [5744]~E(x57442,f2(a881))+P1(f341(f341(f242(a881),f2(a881)),f341(f341(f251(a881),x57441),x57442))) % 197.39/197.42 [5802]~P89(x58021)+E(f341(f341(f91(x58021),f341(f90(x58021),f89(x58021))),f341(f118(x58021),x58022)),f341(f118(x58021),f341(f341(f91(a1),x58022),a100))) % 197.39/197.42 [5803]E(f341(f341(f251(a881),f341(f118(a881),x58031)),x58032),f341(f341(f251(a881),f2(a881)),x58032))+~P1(f341(a198,f341(f118(a1),x58031))) % 197.39/197.42 [5908]E(f341(f146(a881),f144(a881,f341(f309(a881,x59081),x59082))),x59081)+~P1(f341(f341(f242(a881),x59081),x59082)) % 197.39/197.42 [5925]E(f341(f341(f92(a881),f341(f118(a881),x59251)),f341(f118(a881),x59252)),f341(f118(a881),f341(f341(f92(a1),x59251),x59252)))+P1(f341(f341(f242(a1),x59251),a94)) % 197.39/197.42 [5931]~P123(x59311)+P1(f341(f341(f241(x59311),f2(x59311)),f341(f341(f92(x59311),x59312),x59312))) % 197.39/197.42 [5944]E(f341(f341(f3(a881),f341(a128,x59441)),x59442),f341(a128,f341(f341(f3(a881),x59441),x59442)))+~P1(f341(f341(f241(a881),x59442),x59441)) % 197.39/197.42 [5949]E(f57(a881,f341(f341(f3(a881),x59491),x59492),x59492),f57(a881,x59491,x59492))+~P1(f341(f341(f241(a881),x59492),x59491)) % 197.39/197.42 [6005]E(f341(f341(f251(a881),f341(a119,x60051)),x60052),f341(a119,f341(f341(f251(a1),x60051),x60052)))+~P1(f341(f341(f241(a1),f2(a1)),x60051)) % 197.39/197.42 [6021]P1(f341(f142(x60211),x60212))+P1(f341(f341(f242(a881),f645(x60212,x60211)),f341(f194(f883(x60211)),x60212))) % 197.39/197.42 [6022]P1(f341(f142(x60221),x60222))+P1(f341(f341(f242(a881),f664(x60222,x60221)),f341(f194(f883(x60221)),x60222))) % 197.39/197.42 [6038]~P1(f341(f341(f294(a1),x60381),x60382))+P1(f341(f341(f294(a1),f341(f90(a1),x60381)),x60382)) % 197.39/197.42 [6042]~E(x60421,f129(x60422))+~P1(f341(f341(f242(a881),f2(a881)),f341(f194(f883(x60422)),x60421))) % 197.39/197.42 [6051]E(f149(a881,f144(a881,f341(f309(a881,x60511),x60512))),f341(f341(f3(a881),x60512),f89(a881)))+~P1(f341(f341(f242(a881),x60511),x60512)) % 197.39/197.42 [6058]E(f341(f341(f91(a1),x60581),f341(f116(a1),f341(a128,f684(x60582,x60581)))),x60582)+~P1(f341(f341(f242(a1),x60581),x60582)) % 197.39/197.42 [6063]E(x60631,f2(a881))+E(f341(f341(f92(a881),x60632),f341(f341(f251(a881),x60632),f341(f341(f3(a881),x60631),f89(a881)))),f341(f341(f251(a881),x60632),x60631)) % 197.39/197.42 [6086]E(f341(f341(f92(a881),f341(a119,x60861)),f341(a119,x60862)),f341(a119,f341(f341(f92(a1),x60861),x60862)))+~P1(f341(f341(f241(a1),f2(a1)),x60861)) % 197.39/197.42 [6087]E(f341(f341(f38(a881),f341(a119,x60871)),f341(a119,x60872)),f341(a119,f341(f341(f38(a1),x60871),x60872)))+~P1(f341(f341(f241(a1),f2(a1)),x60871)) % 197.39/197.42 [6101]~P108(x61011)+E(f341(f341(f91(x61011),x61012),x61012),f341(f341(f92(x61011),f341(f341(f91(x61011),f89(x61011)),f89(x61011))),x61012)) % 197.39/197.42 [6119]E(f341(f341(f38(a1),f341(f85(a1),x61191)),f341(f85(a1),x61192)),f341(f85(a1),f341(f341(f38(a1),x61191),x61192)))+~P1(f341(f341(f294(a1),x61192),x61191)) % 197.39/197.42 [6120]E(f341(f341(f3(a1),f341(f116(a1),x61201)),f341(f116(a1),x61202)),f341(f116(a1),f341(f341(f3(a881),x61201),x61202)))+~P1(f341(f341(f241(a881),x61202),x61201)) % 197.39/197.42 [6122]E(f341(f341(f257(a1,a1),f341(f118(a1),a100)),f341(f341(f91(a1),x61221),x61222)),f62(x61221,x61222))+~P1(f341(f341(f241(a1),x61222),f2(a1))) % 197.39/197.42 [6153]E(f182(x61531,x61532),f129(f883(x61531)))+P1(f341(f341(f344(f883(x61531)),f511(x61532,x61531)),f341(f176(f883(x61531)),x61532))) % 197.39/197.42 [6215]~P1(f341(f341(f294(a881),x62151),x62152))+P1(f341(f341(f294(a881),x62151),f341(f341(f91(a881),x62152),x62151))) % 197.39/197.42 [6235]E(f341(f341(f156(a1),x62351),f181(f341(f341(f91(a1),x62351),f89(a1)),x62352)),f181(x62351,x62352))+~P1(f341(f341(f241(a1),x62351),x62352)) % 197.39/197.42 [6276]~P1(f341(f341(f242(a881),x62762),x62761))+P1(f341(f341(f242(a881),f2(a881)),f341(f341(f3(a881),x62761),x62762))) % 197.39/197.42 [6309]~P1(f341(f341(f242(a881),x63091),f341(a119,x63092)))+P1(f341(f341(f242(a1),f341(f116(a1),x63091)),x63092)) % 197.39/197.42 [6310]P1(f341(f341(f294(a1),x63101),x63102))+~P1(f341(f341(f294(a1),f341(f90(a1),x63101)),x63102)) % 197.39/197.42 [6340]~P101(x63401)+E(f341(f341(f125(f889(x63401,a874)),f341(f268(x63401),x63402)),f341(f341(f318(x63401),x63402),f193(f889(x63401,a874)))),f341(f308(x63401),x63402)) % 197.39/197.42 [6348]~P1(f341(f341(f242(a881),f2(a881)),x63481))+P1(f341(f341(f242(a881),f2(a881)),f341(f341(f251(a881),x63481),x63482))) % 197.39/197.42 [6349]~P1(f341(f341(f241(a1),f2(a1)),x63491))+P1(f341(f341(f241(a1),f2(a1)),f341(f341(f251(a1),x63491),x63492))) % 197.39/197.42 [6379]~E(f341(x63791,f2(a881)),f2(a881))+E(f341(f341(f8(a881,a881),x63791),f310(a881,f341(a128,f2(a881)),x63792)),f341(f341(f8(a881,a881),x63791),f310(a881,f2(a881),x63792))) % 197.39/197.42 [6446]~P89(x64461)+E(f341(f341(f92(x64461),f341(f341(f91(x64461),f89(x64461)),f89(x64461))),f341(f118(x64461),x64462)),f341(f118(x64461),f341(f341(f91(a1),x64462),x64462))) % 197.39/197.42 [6467]E(f341(f341(f318(a1),x64671),f310(a1,f341(f341(f91(a1),x64671),f89(a1)),x64672)),f310(a1,x64671,x64672))+P1(f341(f341(f242(a1),x64672),x64671)) % 197.39/197.42 [6468]P1(f341(f341(f242(a881),x64681),f341(a119,x64682)))+~P1(f341(f341(f242(a1),f341(f116(a1),x64681)),x64682)) % 197.39/197.42 [6564]P1(f341(f341(f294(a881),x65641),x65642))+~P1(f341(f341(f294(a881),x65641),f341(f341(f91(a881),x65642),x65641))) % 197.39/197.42 [6572]E(f341(a119,f341(f341(f38(a1),f341(f118(a1),x65721)),f341(f118(a1),x65722))),f341(f341(f38(a881),f341(f118(a881),x65721)),f341(f118(a881),x65722)))+P1(f341(a198,f341(f118(a1),x65721))) % 197.39/197.42 [6634]P1(f341(f341(f242(a881),x66341),x66342))+~P1(f341(f341(f242(a881),f2(a881)),f341(f341(f3(a881),x66342),x66341))) % 197.39/197.42 [6679]P1(f341(f341(f242(a881),f2(a881)),x66791))+~P1(f341(f341(f242(a881),f2(a881)),f341(f341(f92(a881),x66792),x66791))) % 197.39/197.42 [6680]P1(f341(f341(f242(a881),f2(a881)),x66801))+~P1(f341(f341(f242(a881),f2(a881)),f341(f341(f92(a881),x66801),x66802))) % 197.39/197.42 [6700]~P1(f341(f341(f241(a1),x67001),f2(a1)))+E(f341(f341(f92(a881),f341(a119,f341(f90(a1),x67001))),f341(a119,f341(f90(a1),x67002))),f341(a119,f341(f341(f92(a1),x67001),x67002))) % 197.39/197.42 [6754]~E(x67542,f193(f889(x67541,a874)))+P1(f341(f341(f241(f889(x67541,a874)),x67542),f341(f90(f889(x67541,a874)),x67542))) % 197.39/197.42 [6817]~P89(x68171)+E(f341(f341(f91(x68171),f341(f341(f91(x68171),f2(x68171)),f341(f118(x68171),x68172))),f341(f118(x68171),x68172)),f341(f118(x68171),f341(f341(f91(a1),x68172),x68172))) % 197.39/197.42 [6823]~P1(f341(f341(f294(a1),f341(f116(a1),x68231)),x68232))+P1(f341(f341(f294(a881),x68231),f341(a119,f341(f85(a1),x68232)))) % 197.39/197.42 [6825]~P1(f341(f341(f241(a881),f341(a128,x68251)),x68252))+P1(f341(f341(f341(f187(a874),a191),f341(f241(a881),x68251)),x68252)) % 197.39/197.42 [6875]~P1(f341(f341(f242(a1),x68751),x68752))+P1(f341(f341(f241(a1),f341(f341(f91(a1),x68751),f89(a1))),x68752)) % 197.39/197.42 [6916]P1(f341(f341(f294(a1),f341(f116(a1),x69161)),x69162))+~P1(f341(f341(f294(a881),x69161),f341(a119,f341(f85(a1),x69162)))) % 197.39/197.42 [6950]E(x69501,f2(a881))+~P1(f341(f341(f241(a1),f341(f116(a1),x69502)),f341(f90(a1),f341(f116(a1),x69501)))) % 197.39/197.42 [6951]E(x69511,f2(a881))+~P1(f341(f341(f241(a1),f341(f116(a1),x69511)),f341(f90(a1),f341(f116(a1),x69512)))) % 197.39/197.42 [7057]E(f341(f341(f257(a1,a1),f341(f118(a1),a100)),f341(f341(f91(a1),x70571),x70572)),f62(x70571,x70572))+~P1(f341(f341(f241(a1),f2(a1)),f341(f341(f91(a1),x70571),x70572))) % 197.39/197.42 [7073]P1(f341(f341(f241(a881),f341(a128,x70731)),x70732))+~P1(f341(f341(f341(f187(a874),a191),f341(f241(a881),x70731)),x70732)) % 197.39/197.42 [7100]~P20(x71001,x71002)+P34(x71001,f341(f256(f889(f888(x71001,x71001),a874),f889(f888(x71001,x71001),a874)),x71002)) % 197.39/197.42 [7120]~P1(f341(f341(f241(a881),f341(a128,f2(a881))),x71201))+P1(f341(f341(f241(a881),f341(a128,f2(a881))),f341(f341(f251(a881),x71201),x71202))) % 197.39/197.42 [7280]~P1(f341(f341(f242(a1),x72801),x72802))+P1(f341(f341(f242(a1),f341(f341(f91(a1),x72801),x72801)),f341(f341(f91(a1),x72802),x72802))) % 197.39/197.42 [7292]~P1(f341(f341(f241(a1),x72921),x72922))+P1(f341(f341(f241(a1),f341(f341(f91(a1),x72921),x72921)),f341(f341(f91(a1),x72922),x72922))) % 197.39/197.42 [7350]~P1(f341(f341(f242(a881),f2(a881)),x73501))+P1(f341(f341(f242(a881),f341(f341(f3(a881),x73501),f341(a128,x73502))),x73501)) % 197.39/197.42 [7387]P1(f341(f341(f241(a881),f341(a128,f2(a881))),x73871))+~P1(f341(f341(f241(a881),f341(a128,f2(a881))),f341(f341(f92(a881),x73872),x73871))) % 197.39/197.42 [7388]P1(f341(f341(f241(a881),f341(a128,f2(a881))),x73881))+~P1(f341(f341(f241(a881),f341(a128,f2(a881))),f341(f341(f92(a881),x73881),x73882))) % 197.39/197.42 [7392]P1(f341(f341(f241(a881),f341(f341(f169(a881),x73921),x73922)),f341(f170(a881),x73921)))+~P1(f341(f341(f242(a881),x73922),f341(f194(f883(a881)),x73921))) % 197.39/197.42 [7427]P1(f341(f341(f242(a1),x74271),x74272))+~P1(f341(f341(f241(a1),f341(f341(f91(a1),x74271),f89(a1))),x74272)) % 197.39/197.42 [7464]P1(f341(f72(x74641),f249(f889(x74641,a874))))+~P1(f341(f72(f889(x74642,x74641)),f249(f889(f889(x74642,x74641),a874)))) % 197.39/197.42 [7465]P1(f341(f72(x74651),f249(f889(x74651,a874))))+~P1(f341(f72(f887(x74652,x74651)),f249(f889(f887(x74652,x74651),a874)))) % 197.39/197.42 [7466]P1(f341(f72(x74661),f249(f889(x74661,a874))))+~P1(f341(f72(f887(x74661,x74662)),f249(f889(f887(x74661,x74662),a874)))) % 197.39/197.42 [7509]E(x75091,f193(f889(x75092,a874)))+~P1(f341(f341(f241(f889(x75092,a874)),x75091),f341(f90(f889(x75092,a874)),x75091))) % 197.39/197.42 [7647]E(f341(f147(f883(x76471),f883(x76471),f137(x76471),f129(x76471)),x76472),f129(x76471))+P1(f341(f341(f344(f883(x76471)),f542(x76472,x76471)),f341(f176(f883(x76471)),x76472))) % 197.39/197.42 [7648]E(f341(f147(f883(x76481),f883(x76481),f137(x76481),f129(x76481)),x76482),f129(x76481))+P1(f341(f341(f344(f883(x76481)),f544(x76482,x76481)),f341(f176(f883(x76481)),x76482))) % 197.39/197.42 [7720]P1(f341(f341(f344(a881),x77201),x77202))+~P1(f341(f341(f344(a1),f341(f116(a1),x77201)),f341(f341(f317(a881,a1),f116(a1)),x77202))) % 197.39/197.42 [7881]P1(f341(f341(f242(a1),x78811),x78812))+~P1(f341(f341(f242(a1),f341(f341(f91(a1),x78811),x78811)),f341(f341(f91(a1),x78812),x78812))) % 197.39/197.42 [7884]P1(f341(f341(f241(a1),x78841),x78842))+~P1(f341(f341(f241(a1),f341(f341(f91(a1),x78841),x78841)),f341(f341(f91(a1),x78842),x78842))) % 197.39/197.42 [7977]~P108(x79771)+E(f341(f341(f92(x79771),f341(f341(f91(x79771),f89(x79771)),f89(x79771))),f341(f341(f8(a881,x79771),f116(x79771)),f310(a881,f89(a881),x79772))),f341(f341(f92(x79771),f341(f116(x79771),x79772)),f341(f341(f91(x79771),f341(f116(x79771),x79772)),f89(x79771)))) % 197.39/197.42 [8166]~P1(f341(f72(x81661),x81662))+E(f341(f341(f317(a881,x81661),f773(x81662,x81661)),f341(f267(a881),f341(f341(f9(a881,a881,a874),f242(a881)),f774(x81662,x81661)))),x81662) % 197.39/197.42 [8478]P51(x84781,x84782)+P1(f341(f341(f344(f888(x84781,x84781)),f341(f341(f257(x84781,x84781),f385(x84782,x84781)),f385(x84782,x84781))),x84782)) % 197.39/197.42 [8487]~P1(f341(f341(f242(f889(a881,a874)),x84871),x84872))+P1(f341(f341(f242(f889(a1,a874)),f341(f341(f317(a881,a1),f116(a1)),x84871)),f341(f341(f317(a881,a1),f116(a1)),x84872))) % 197.39/197.42 [8625]~P89(x86251)+E(f341(f341(f3(x86251),f89(x86251)),f341(f118(x86251),x86252)),f341(f118(x86251),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f90(a1),x86252)))) % 197.39/197.42 [8775]~P1(f341(f341(f242(a1),x87751),x87752))+P1(f341(f341(f242(a1),f341(f341(f3(a1),f341(f341(f91(a1),x87751),x87751)),a100)),f341(f341(f91(a1),x87752),x87752))) % 197.39/197.42 [8777]~P1(f341(f341(f242(a1),x87771),x87772))+P1(f341(f341(f241(a1),f341(f341(f3(a1),f341(f341(f91(a1),x87771),x87771)),a100)),f341(f341(f91(a1),x87772),x87772))) % 197.39/197.42 [8806]~P1(f341(f341(f242(f889(a1,a874)),f341(f341(f317(a881,a1),f116(a1)),x88061)),f341(f341(f317(a881,a1),f116(a1)),x88062)))+P1(f341(f341(f242(f889(a881,a874)),x88061),x88062)) % 197.39/197.42 [8807]~P1(f341(f341(f241(f889(a1,a874)),f341(f341(f317(a881,a1),f116(a1)),x88071)),f341(f341(f317(a881,a1),f116(a1)),x88072)))+P1(f341(f341(f241(f889(a881,a874)),x88071),x88072)) % 197.39/197.42 [8856]~P1(f341(f341(f344(a881),x88561),f341(f176(a881),x88562)))+P1(f341(f341(f241(a881),x88561),f341(f147(a881,a881,f91(a881),f2(a881)),x88562))) % 197.39/197.42 [8943]P41(x89431,x89432)+~P1(f341(f341(f344(f888(x89431,x89431)),f341(f341(f257(x89431,x89431),f867(x89432,x89431)),f867(x89432,x89431))),x89432)) % 197.39/197.42 [9165]P1(f341(f341(f242(a1),x91651),x91652))+~P1(f341(f341(f242(a1),f341(f341(f3(a1),f341(f341(f91(a1),x91651),x91651)),a100)),f341(f341(f91(a1),x91652),x91652))) % 197.39/197.42 [9167]P1(f341(f341(f242(a1),x91671),x91672))+~P1(f341(f341(f241(a1),f341(f341(f3(a1),f341(f341(f91(a1),x91671),x91671)),a100)),f341(f341(f91(a1),x91672),x91672))) % 197.39/197.42 [10086]~P1(f341(f72(x100861),x100862))+E(f341(f194(f883(x100861)),f102(f883(x100861),f341(f341(f20(f883(x100861),a874,a874),f341(f341(f10(a874,f889(a874,a874),f883(x100861)),a339),f341(f341(f9(f883(x100861),f889(x100861,a874),a874),f341(f341(f10(f889(x100861,a874),f889(f889(x100861,a874),a874),f883(x100861)),a338),f176(x100861))),x100862))),f142(x100861)))),f221(x100861,x100862)) % 197.39/197.42 [6050]E(f341(f341(f91(a881),f341(f341(f3(a881),x60501),x60502)),x60502),x60501)+~P1(f341(f341(f241(a881),x60502),x60501)) % 197.39/197.42 [6115]E(f341(f341(f38(a881),f341(f341(f92(a881),x61151),x61152)),x61152),x61151)+~P1(f341(f341(f242(a881),f2(a881)),x61152)) % 197.39/197.42 [6116]E(f341(f341(f38(a881),f341(f341(f92(a881),x61161),x61162)),x61161),x61162)+~P1(f341(f341(f242(a881),f2(a881)),x61161)) % 197.39/197.42 [6121]~P70(x61211)+E(f341(f341(f8(a881,x61211),f341(f169(x61211),x61212)),f341(f309(a881,f2(a881)),f341(f194(f883(x61211)),x61212))),f341(f170(x61211),x61212)) % 197.39/197.42 [6229]E(f57(a881,f341(a128,f341(f341(f92(a881),x62291),x62292)),x62291),f89(a881))+~P1(f341(f341(f242(a881),f89(a881)),x62291)) % 197.39/197.42 [6233]E(f341(a128,f341(f341(f91(a881),f341(f118(a881),x62331)),x62332)),f341(f341(f91(a881),f89(a881)),x62332))+~P1(f341(a198,f341(f118(a1),x62331))) % 197.39/197.42 [6260]E(f341(a119,f341(f341(f251(a1),f341(f118(a1),x62601)),x62602)),f341(f341(f251(a881),f341(f118(a881),x62601)),x62602))+P1(f341(a198,f341(f118(a1),x62601))) % 197.39/197.42 [6521]E(f341(f341(f3(a881),x65211),f341(f118(a881),f341(f341(f91(a1),x65212),a100))),f341(f341(f3(a881),f341(a128,x65211)),f341(f118(a881),x65212)))+~P1(f341(f341(f242(a1),a94),x65212)) % 197.39/197.42 [6603]E(x66031,f2(a881))+E(f341(a128,f341(f341(f91(a881),f341(f341(f3(a881),x66031),f89(a881))),x66032)),f341(f341(f91(a881),x66031),x66032)) % 197.39/197.42 [6650]E(x66501,f2(a1))+P1(f341(f341(f242(a1),f2(a1)),f341(f341(f251(a1),f341(f85(a1),x66501)),x66502))) % 197.39/197.42 [6665]~E(x66652,f2(a881))+P1(f341(f341(f242(a1),f2(a1)),f341(f341(f251(a1),f341(f85(a1),x66651)),x66652))) % 197.39/197.42 [6703]E(x67031,f2(a881))+E(f341(f341(f91(a881),x67032),f341(f341(f92(a881),f341(f341(f3(a881),x67031),f89(a881))),x67032)),f341(f341(f92(a881),x67031),x67032)) % 197.39/197.42 [6748]~P1(f341(f341(f241(a1),x67481),x67482))+P1(f341(f341(f242(a1),f341(f341(f91(a1),x67481),a100)),x67482)) % 197.39/197.42 [6879]E(f341(f341(f156(a881),x68791),f144(a881,f341(f309(a881,f341(a128,x68791)),x68792))),f144(a881,f341(f309(a881,x68791),x68792)))+~P1(f341(f341(f242(a881),x68791),x68792)) % 197.39/197.42 [7051]~P1(f341(f341(f294(a1),x70511),f341(f116(a1),x70512)))+P1(f341(f341(f294(a881),f341(a119,f341(f85(a1),x70511))),x70512)) % 197.39/197.42 [7090]E(x70901,x70902)+~E(f341(f341(f3(a1),f341(f341(f91(a1),x70901),x70901)),a100),f341(f341(f3(a1),f341(f341(f91(a1),x70902),x70902)),a100)) % 197.39/197.42 [7093]E(x70931,f129(x70932))+E(f274(x70932,f341(f341(f159(x70932,f888(a115,x70932)),f341(f257(a115,x70932),f89(a115))),x70931)),f285(x70932,x70931)) % 197.39/197.42 [7320]P1(f341(f341(f241(a1),x73201),x73202))+~P1(f341(f341(f242(a1),f341(f341(f91(a1),x73201),a100)),x73202)) % 197.39/197.42 [7437]P1(f341(f341(f294(a1),x74371),f341(f116(a1),x74372)))+~P1(f341(f341(f294(a881),f341(a119,f341(f85(a1),x74371))),x74372)) % 197.39/197.42 [7785]~P1(f341(f341(f242(a881),x77851),x77852))+P1(f341(f341(f344(f888(a881,a881)),f341(f341(f257(a881,a881),x77851),x77852)),a247)) % 197.39/197.42 [8006]~P1(f341(f341(f242(a115),f2(a115)),x80061))+P1(f341(f341(f242(a115),f341(f256(a115,f888(a115,a115)),f341(f275(x80061),x80062))),x80061)) % 197.39/197.42 [8319]~P81(x83191)+P1(f341(f341(f241(x83191),f341(f85(x83191),f341(f170(x83191),x83192))),f341(f170(x83191),f341(f341(f159(x83191,x83191),f85(x83191)),x83192)))) % 197.39/197.42 [8343]P1(f341(f341(f242(a881),x83431),x83432))+~P1(f341(f341(f344(f888(a881,a881)),f341(f341(f257(a881,a881),x83431),x83432)),a247)) % 197.39/197.42 [8504]E(f341(f341(f257(x85041,x85041),f408(x85042,x85041)),f408(x85042,x85041)),x85042)+~P1(f341(f341(f344(f888(x85041,x85041)),x85042),f315(x85041,f193(f889(f888(x85041,x85041),a874))))) % 197.39/197.42 [8548]E(f341(f309(a881,x85481),f341(f341(f91(a881),x85481),f341(f37(a881),x85482))),x85482)+~P1(f341(f341(f241(f889(a881,a874)),x85482),f341(f309(a881,x85481),f341(f341(f91(a881),x85481),f341(f37(a881),x85482))))) % 197.39/197.42 [8903]E(f341(f341(f38(a1),f341(f118(a1),f341(f341(f3(a1),f341(f341(f91(a1),x89031),x89031)),a100))),f341(f118(a1),f341(f341(f91(a1),x89032),x89032))),f341(f341(f38(a1),f341(f118(a1),x89031)),f341(f118(a1),x89032)))+~P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x89032))) % 197.39/197.42 [9014]E(f180(f883(x90141),f341(f341(f10(a874,a874,f883(x90141)),a336),f341(f341(f9(f883(x90141),f883(x90141),a874),a338),f129(x90141))),x90142),f182(x90141,f182(x90141,x90142)))+~P16(a881,f341(f173(a881),f341(f341(f159(f883(x90141),a881),f194(f883(x90141))),x90142))) % 197.39/197.42 [9017]E(f341(f341(f38(a1),f341(f118(a1),f341(f341(f3(a1),f341(f341(f91(a1),x90171),x90171)),a100))),f341(f118(a1),f341(f341(f91(a1),x90172),x90172))),f341(f341(f38(a1),f341(f341(f91(a1),f341(f118(a1),x90171)),f89(a1))),f341(f118(a1),x90172)))+P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x90172))) % 197.39/197.42 [9820]P1(f341(a198,x98202))+E(f341(f341(f97(a1,a881),f341(f341(f3(a1),x98201),x98202)),f341(f341(f20(a1,a881,a881),f341(f341(f9(a1,a881,f889(a881,a881)),f341(f341(f10(a874,f889(a881,f889(a881,a881)),a1),f111(a881)),a198)),f2(a881))),a119)),f341(f341(f3(a881),f341(a119,x98201)),f341(a119,x98202))) % 197.39/197.42 [9826]E(f341(f341(f97(a1,a881),f341(f118(a1),f341(f341(f91(a1),x98261),f341(f90(a1),x98262)))),f341(f341(f20(a1,a881,a881),f341(f341(f9(a1,a881,f889(a881,a881)),f341(f341(f10(a874,f889(a881,f889(a881,a881)),a1),f111(a881)),a198)),f2(a881))),a119)),f341(f341(f3(a881),f341(f118(a881),x98261)),f341(f118(a881),x98262)))+P1(f341(f341(f242(a1),x98262),a94)) % 197.39/197.42 [9828]~P20(x98281,x98282)+P1(f341(f341(f241(f889(f888(x98281,x98281),a874)),f341(f341(f296(x98281,x98281,x98281),f341(f256(f889(f888(x98281,x98281),a874),f889(f888(x98281,x98281),a874)),x98282)),f341(f261(f889(f888(x98281,x98281),a874),f889(f888(x98281,x98281),a874)),x98282))),f341(f256(f889(f888(x98281,x98281),a874),f889(f888(x98281,x98281),a874)),x98282))) % 197.39/197.42 [9884]~E(f341(f37(a881),f341(f267(a881),f341(f341(f20(a881,a874,a874),f341(f341(f10(a874,f889(a874,a874),a881),a339),f341(f341(f9(a881,f889(a881,a874),a874),f344(a881)),x98841))),f341(f341(f9(a881,a881,a874),f242(a881)),f341(a128,x98842))))),f2(a881))+~P1(f341(f341(f344(a881),f2(a881)),x98841)) % 197.39/197.42 [9895]E(f306(a881,f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x98951,x98952),f193(f889(a881,a874)))+~P1(f341(f341(f294(a881),x98952),x98951)) % 197.39/197.42 [9903]E(f307(a881,f294(a881),f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x99031,x99032),f193(f889(a881,a874)))+P1(f341(f341(f294(a881),x99031),x99032)) % 197.39/197.42 [9904]E(f304(a881,f294(a881),f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x99041,x99042),f193(f889(a881,a874)))+P1(f341(f341(f294(a881),x99041),x99042)) % 197.39/197.42 [9908]E(f307(a881,f294(a881),f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x99081,x99082),f193(f889(a881,a874)))+~P1(f341(f341(f294(a881),x99082),x99081)) % 197.39/197.42 [9910]E(f304(a881,f294(a881),f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x99101,x99102),f193(f889(a881,a874)))+~P1(f341(f341(f294(a881),x99102),x99101)) % 197.39/197.42 [9952]E(f57(a1,f341(f118(a1),f341(f341(f3(a1),f341(f341(f91(a1),x99521),x99521)),a100)),f341(f118(a1),f341(f341(f91(a1),x99522),x99522))),f341(f341(f91(a1),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f57(a1,f341(f118(a1),x99521),f341(f118(a1),x99522)))),f89(a1)))+~P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x99522))) % 197.39/197.42 [9961]E(f57(a1,f341(f118(a1),f341(f341(f3(a1),f341(f341(f91(a1),x99611),x99611)),a100)),f341(f118(a1),f341(f341(f91(a1),x99612),x99612))),f341(f341(f3(a1),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f57(a1,f341(f341(f91(a1),f341(f118(a1),x99611)),f89(a1)),f341(f118(a1),x99612)))),f89(a1)))+P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x99612))) % 197.39/197.42 [10016]~P8(x100161)+E(f39(x100161,f341(f267(x100161),f341(f341(f10(f889(x100161,a874),a874,x100161),f99(x100161)),f341(f341(f10(f889(x100161,a874),f889(x100161,a874),x100161),f341(f20(x100161,a874,a874),f341(f341(f10(a874,f889(a874,a874),x100161),a345),f341(f341(f9(x100161,f889(x100161,a874),a874),f344(x100161)),x100162)))),f241(x100161))))),f40(x100161,x100162)) % 197.39/197.42 [10077]~P34(x100771,x100772)+P58(x100771,f341(f341(f9(x100771,f889(f888(x100771,x100771),a874),f889(x100771,a874)),f341(f341(f10(f889(x100771,f889(f889(f888(x100771,x100771),a874),a874)),f889(f889(f888(x100771,x100771),a874),f889(x100771,a874)),x100771),f9(x100771,f889(f888(x100771,x100771),a874),a874)),f341(f341(f10(f889(x100771,f888(x100771,x100771)),f889(x100771,f889(f889(f888(x100771,x100771),a874),a874)),x100771),f341(f10(f888(x100771,x100771),f889(f889(f888(x100771,x100771),a874),a874),x100771),f344(f888(x100771,x100771)))),f257(x100771,x100771)))),x100772)) % 197.39/197.42 [10078]~P11(x100781,f249(f889(x100781,a874)),x100782)+P10(x100781,f341(f341(f9(x100781,f889(f888(x100781,x100781),a874),f889(x100781,a874)),f341(f341(f10(f889(x100781,f889(f889(f888(x100781,x100781),a874),a874)),f889(f889(f888(x100781,x100781),a874),f889(x100781,a874)),x100781),f9(x100781,f889(f888(x100781,x100781),a874),a874)),f341(f341(f10(f889(x100781,f888(x100781,x100781)),f889(x100781,f889(f889(f888(x100781,x100781),a874),a874)),x100781),f341(f10(f888(x100781,x100781),f889(f889(f888(x100781,x100781),a874),a874),x100781),f344(f888(x100781,x100781)))),f257(x100781,x100781)))),x100782)) % 197.39/197.42 [10124]P34(x101241,x101242)+~P58(x101241,f341(f341(f9(x101241,f889(f888(x101241,x101241),a874),f889(x101241,a874)),f341(f341(f10(f889(x101241,f889(f889(f888(x101241,x101241),a874),a874)),f889(f889(f888(x101241,x101241),a874),f889(x101241,a874)),x101241),f9(x101241,f889(f888(x101241,x101241),a874),a874)),f341(f341(f10(f889(x101241,f888(x101241,x101241)),f889(x101241,f889(f889(f888(x101241,x101241),a874),a874)),x101241),f341(f10(f888(x101241,x101241),f889(f889(f888(x101241,x101241),a874),a874),x101241),f344(f888(x101241,x101241)))),f257(x101241,x101241)))),x101242)) % 197.39/197.42 [10125]P11(x101251,f249(f889(x101251,a874)),x101252)+~P10(x101251,f341(f341(f9(x101251,f889(f888(x101251,x101251),a874),f889(x101251,a874)),f341(f341(f10(f889(x101251,f889(f889(f888(x101251,x101251),a874),a874)),f889(f889(f888(x101251,x101251),a874),f889(x101251,a874)),x101251),f9(x101251,f889(f888(x101251,x101251),a874),a874)),f341(f341(f10(f889(x101251,f888(x101251,x101251)),f889(x101251,f889(f889(f888(x101251,x101251),a874),a874)),x101251),f341(f10(f888(x101251,x101251),f889(f889(f888(x101251,x101251),a874),a874),x101251),f344(f888(x101251,x101251)))),f257(x101251,x101251)))),x101252)) % 197.39/197.42 [7266]E(f341(f341(f91(a881),f341(f118(a881),f341(f341(f3(a1),x72661),a100))),x72662),f341(a128,f341(f341(f91(a881),f341(f118(a881),x72661)),x72662)))+P1(f341(a198,f341(f118(a1),x72661))) % 197.39/197.42 [7707]~P89(x77071)+E(f341(f341(f91(x77071),f341(f341(f91(x77071),f89(x77071)),f341(f118(x77071),x77072))),f341(f118(x77071),x77072)),f341(f118(x77071),f341(f341(f3(a1),f341(f341(f91(a1),x77072),x77072)),a100))) % 197.39/197.42 [8345]~P1(f341(f341(f241(a1),x83451),x83452))+P1(f341(f341(f242(a1),f341(f341(f91(a1),x83451),x83451)),f341(f341(f3(a1),f341(f341(f91(a1),x83452),x83452)),a100))) % 197.39/197.42 [8347]~P1(f341(f341(f241(a1),x83471),x83472))+P1(f341(f341(f241(a1),f341(f341(f91(a1),x83471),x83471)),f341(f341(f3(a1),f341(f341(f91(a1),x83472),x83472)),a100))) % 197.39/197.42 [8779]P1(f341(f341(f241(a1),x87791),x87792))+~P1(f341(f341(f242(a1),f341(f341(f91(a1),x87791),x87791)),f341(f341(f3(a1),f341(f341(f91(a1),x87792),x87792)),a100))) % 197.39/197.42 [8781]P1(f341(f341(f241(a1),x87811),x87812))+~P1(f341(f341(f241(a1),f341(f341(f91(a1),x87811),x87811)),f341(f341(f3(a1),f341(f341(f91(a1),x87812),x87812)),a100))) % 197.39/197.42 [9073]~P1(f341(f341(f242(a1),x90731),x90732))+P1(f341(f341(f242(a1),f341(f341(f3(a1),f341(f341(f91(a1),x90731),x90731)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),x90732),x90732)),a100))) % 197.39/197.42 [9075]~P1(f341(f341(f241(a1),x90751),x90752))+P1(f341(f341(f241(a1),f341(f341(f3(a1),f341(f341(f91(a1),x90751),x90751)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),x90752),x90752)),a100))) % 197.39/197.42 [9334]P1(f341(f341(f242(a1),x93341),x93342))+~P1(f341(f341(f242(a1),f341(f341(f3(a1),f341(f341(f91(a1),x93341),x93341)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),x93342),x93342)),a100))) % 197.39/197.42 [9336]P1(f341(f341(f241(a1),x93361),x93362))+~P1(f341(f341(f241(a1),f341(f341(f3(a1),f341(f341(f91(a1),x93361),x93361)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),x93362),x93362)),a100))) % 197.39/197.42 [9362]~P1(f341(f72(x93621),x93622))+P1(f341(f72(f889(x93621,a874)),f341(f267(f889(x93621,a874)),f341(f341(f9(f889(x93621,a874),f889(x93621,a874),a874),f241(f889(x93621,a874))),x93622)))) % 197.39/197.42 [9416]~E(f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),x94161),f193(f889(f888(a881,a881),a874)))),f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),x94162),f193(f889(f888(a881,a881),a874)))))+P1(f341(f341(f344(f888(f888(a881,a881),f888(a881,a881))),f341(f341(f257(f888(a881,a881),f888(a881,a881)),x94161),x94162)),a123)) % 197.39/197.42 [9499]E(f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),x94991),f193(f889(f888(a881,a881),a874)))),f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),x94992),f193(f889(f888(a881,a881),a874)))))+~P1(f341(f341(f344(f888(f888(a881,a881),f888(a881,a881))),f341(f341(f257(f888(a881,a881),f888(a881,a881)),x94991),x94992)),a123)) % 197.39/197.42 [9539]P1(f341(f341(f241(a1),f2(a1)),f447(x95391,x95392)))+E(f341(f267(a1),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f241(a1),f2(a1)))),x95391)),f341(f267(a1),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f241(a1),f2(a1)))),x95392))) % 197.39/197.42 [10028]~P8(x100281)+E(f40(x100281,f341(f267(x100281),f341(f341(f10(f889(x100281,a874),a874,x100281),f99(x100281)),f341(f341(f10(f889(x100281,a874),f889(x100281,a874),x100281),f341(f20(x100281,a874,a874),f341(f341(f10(a874,f889(a874,a874),x100281),a345),f341(f341(f9(x100281,f889(x100281,a874),a874),f344(x100281)),x100282)))),f341(f9(x100281,x100281,a874),f241(x100281)))))),f39(x100281,x100282)) % 197.39/197.42 [10085]P1(f341(f341(f344(a881),f2(a881)),x100851))+E(f341(f37(a881),f341(f267(a881),f341(f341(f20(a881,a874,a874),f341(f341(f10(a874,f889(a874,a874),a881),a339),f341(f341(f9(a881,f889(a881,a874),a874),f341(f341(f10(a881,f889(f889(a881,a874),a874),a881),f344(a881)),a128)),x100851))),f341(f341(f9(a881,a881,a874),f242(a881)),x100852)))),f341(f37(a881),f341(f267(a881),f341(f341(f20(a881,a874,a874),f341(f341(f10(a874,f889(a874,a874),a881),a339),f341(f341(f9(a881,f889(a881,a874),a874),f344(a881)),x100851))),f341(f341(f9(a881,a881,a874),f242(a881)),f341(a128,x100852)))))) % 197.39/197.42 [10145]P1(f341(f341(f294(a881),x101451),x101452))+~P1(f341(f341(f344(a881),x101452),f302(a881,f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x101451))) % 197.39/197.42 [10146]P1(f341(f341(f294(a881),x101461),x101462))+~P1(f341(f341(f344(a881),x101461),f305(a881,f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x101462))) % 197.39/197.42 [10147]~P1(f341(f341(f294(a881),x101471),x101472))+~P1(f341(f341(f344(a881),x101472),f305(a881,f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x101471))) % 197.39/197.42 [10148]~P1(f341(f341(f294(a881),x101481),x101482))+~P1(f341(f341(f344(a881),x101481),f302(a881,f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x101482))) % 197.39/197.42 [7574]~P89(x75741)+E(f341(f341(f92(x75741),x75742),f341(f118(x75741),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),x75742) % 197.39/197.42 [7831]~P89(x78311)+E(f341(f341(f91(x78311),f341(f118(x78311),x78312)),f89(x78311)),f341(f118(x78311),f341(f341(f91(a1),x78312),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))) % 197.39/197.42 [7975]P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x79752)))+E(f341(f341(f251(a1),x79751),f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),x79752),x79752)),a100))),f89(a1)) % 197.39/197.42 [9388]~P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x93882)))+E(f341(f341(f251(a1),x93881),f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),x93882),x93882)),a100))),f341(f341(f97(a1,a1),f341(f341(f251(a1),x93881),f341(f118(a881),x93882))),f341(f341(f20(a1,a1,a1),f341(f341(f10(a1,f889(a1,a1),a1),f92(a1)),f341(f92(a1),x93881))),f7(a1)))) % 197.39/197.42 [9875]~P1(f341(f341(f242(a881),f341(f118(a881),x98751)),f341(a128,x98752)))+P1(f341(f341(f97(a1,a874),f341(f118(a1),f341(f341(f91(a1),x98751),a100))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a345),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f9(a1,a881,a874),f341(f341(f10(a881,f889(a881,a874),a1),f242(a881)),a119)),x98752)))) % 197.39/197.42 [9876]~P1(f341(f341(f241(a881),f341(f118(a881),x98761)),f341(a128,x98762)))+P1(f341(f341(f97(a1,a874),f341(f118(a1),f341(f341(f91(a1),x98761),a100))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a345),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f9(a1,a881,a874),f341(f341(f10(a881,f889(a881,a874),a1),f241(a881)),a119)),x98762)))) % 197.39/197.42 [9936]P1(f341(f341(f242(a881),f341(f118(a881),x99361)),f341(a128,x99362)))+~P1(f341(f341(f97(a1,a874),f341(f118(a1),f341(f341(f91(a1),x99361),a100))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a345),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f9(a1,a881,a874),f341(f341(f10(a881,f889(a881,a874),a1),f242(a881)),a119)),x99362)))) % 197.39/197.42 [9937]P1(f341(f341(f241(a881),f341(f118(a881),x99371)),f341(a128,x99372)))+~P1(f341(f341(f97(a1,a874),f341(f118(a1),f341(f341(f91(a1),x99371),a100))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a345),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f9(a1,a881,a874),f341(f341(f10(a881,f889(a881,a874),a1),f241(a881)),a119)),x99372)))) % 197.39/197.42 [9967]~P1(f341(f341(f242(a881),f341(a128,x99672)),f341(f118(a881),x99671)))+P1(f341(f341(f97(a1,a874),f341(f118(a1),f341(f341(f91(a1),x99671),a100))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a345),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f10(a881,a874,a1),f341(f242(a881),x99672)),a119))))) % 197.39/197.42 [9968]~P1(f341(f341(f241(a881),f341(a128,x99682)),f341(f118(a881),x99681)))+P1(f341(f341(f97(a1,a874),f341(f118(a1),f341(f341(f91(a1),x99681),a100))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a345),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f10(a881,a874,a1),f341(f241(a881),x99682)),a119))))) % 197.39/197.42 [10013]P1(f341(f341(f242(a881),f341(a128,x100131)),f341(f118(a881),x100132)))+~P1(f341(f341(f97(a1,a874),f341(f118(a1),f341(f341(f91(a1),x100132),a100))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a345),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f10(a881,a874,a1),f341(f242(a881),x100131)),a119))))) % 197.39/197.42 [10014]P1(f341(f341(f241(a881),f341(a128,x100141)),f341(f118(a881),x100142)))+~P1(f341(f341(f97(a1,a874),f341(f118(a1),f341(f341(f91(a1),x100142),a100))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a345),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f10(a881,a874,a1),f341(f241(a881),x100141)),a119))))) % 197.39/197.42 [10137]~P1(f341(f341(f344(a881),f2(a881)),x101371))+E(f341(a128,f341(f37(a881),f341(f267(a881),f341(f341(f20(a881,a874,a874),f341(f341(f10(a874,f889(a874,a874),a881),a339),f341(f341(f9(a881,f889(a881,a874),a874),f341(f341(f10(a881,f889(f889(a881,a874),a874),a881),f344(a881)),a128)),x101371))),f341(f341(f9(a881,a881,a874),f242(a881)),x101372))))),f341(f37(a881),f341(f267(a881),f341(f341(f20(a881,a874,a874),f341(f341(f10(a874,f889(a874,a874),a881),a339),f341(f341(f9(a881,f889(a881,a874),a874),f344(a881)),x101371))),f341(f341(f9(a881,a881,a874),f242(a881)),f341(a128,x101372)))))) % 197.39/197.42 [8531]~P89(x85311)+E(f341(f341(f92(x85311),f341(f118(x85311),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),x85312),x85312) % 197.39/197.42 [8597]~P89(x85971)+E(f341(f341(f91(x85971),f89(x85971)),f341(f118(x85971),x85972)),f341(f118(x85971),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),x85972))) % 197.39/197.42 [8652]~P89(x86521)+E(f341(f341(f3(x86521),f341(f118(x86521),x86522)),f89(x86521)),f341(f118(x86521),f341(f341(f91(a1),x86522),f341(f90(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))) % 197.39/197.42 [8796]~P1(f341(f341(f242(a881),f341(f118(a881),a94)),x87962))+E(f341(f341(f3(a881),x87961),f341(f341(f3(a881),x87962),f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(f341(f3(a881),f341(a128,x87961)),x87962)) % 197.39/197.42 [9429]~P108(x94291)+E(f341(f341(f92(x94291),x94292),x94292),f341(f341(f251(x94291),x94292),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))) % 197.39/197.42 [9430]~P77(x94301)+E(f341(f341(f251(x94301),x94302),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(f341(f92(x94301),x94302),x94302)) % 197.39/197.42 [9432]~P89(x94321)+E(f341(f341(f92(x94321),x94322),f341(f118(x94321),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(f341(f91(x94321),x94322),x94322)) % 197.39/197.42 [9669]~P113(x96691)+E(f341(f341(f251(x96691),f341(f90(x96691),x96692)),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(f341(f251(x96691),x96692),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))) % 197.39/197.42 [9670]~P114(x96701)+E(f341(f341(f251(x96701),f341(f85(x96701),x96702)),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(f341(f251(x96701),x96702),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))) % 197.39/197.42 [9666]~P89(x96661)+E(f341(f341(f92(x96661),f341(f118(x96661),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x96662),f341(f341(f91(x96661),x96662),x96662)) % 197.39/197.42 [9779]~P114(x97791)+E(f341(f85(x97791),f341(f341(f251(x97791),x97792),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x97791),x97792),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))) % 197.39/197.42 [9837]~P114(x98371)+P1(f341(f341(f241(x98371),f2(x98371)),f341(f341(f251(x98371),x98372),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))) % 197.39/197.42 [10008]~E(f341(a128,x100082),f341(f118(a881),x100081))+P1(f341(f341(f97(a1,a874),f341(f118(a1),f341(f341(f91(a1),x100081),a100))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a345),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f9(a1,a881,a874),f341(f341(f10(a881,f889(a881,a874),a1),a338),a119)),x100082))))) % 197.39/197.42 [10009]~E(f341(f118(a881),x100091),f341(a128,x100092))+P1(f341(f341(f97(a1,a874),f341(f118(a1),f341(f341(f91(a1),x100091),a100))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a345),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f9(a1,a881,a874),f341(f341(f10(a881,f889(a881,a874),a1),a338),a119)),x100092))))) % 197.39/197.42 [10089]E(f341(a128,x100891),f341(f118(a881),x100892))+~P1(f341(f341(f97(a1,a874),f341(f118(a1),f341(f341(f91(a1),x100892),a100))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a345),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f9(a1,a881,a874),f341(f341(f10(a881,f889(a881,a874),a1),a338),a119)),x100891))))) % 197.39/197.42 [10090]E(f341(f118(a881),x100901),f341(a128,x100902))+~P1(f341(f341(f97(a1,a874),f341(f118(a1),f341(f341(f91(a1),x100901),a100))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a345),f341(f341(f10(a874,a874,a1),a336),a198))),f341(f341(f9(a1,a881,a874),f341(f341(f10(a881,f889(a881,a874),a1),a338),a119)),x100902))))) % 197.39/197.42 [9833]~P89(x98331)+E(f341(f341(f251(x98331),f341(f118(x98331),a100)),f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x98332)),f89(x98331)) % 197.39/197.42 [9834]~P113(x98341)+E(f341(f341(f251(x98341),f341(f90(x98341),f89(x98341))),f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x98342)),f89(x98341)) % 197.39/197.42 [9839]~P77(x98391)+E(f341(f341(f251(x98391),x98392),f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),a100))),f341(f341(f92(x98391),f341(f341(f92(x98391),x98392),x98392)),x98392)) % 197.39/197.42 [10052]~P1(f341(f341(f241(a1),f2(a1)),x100522))+E(f57(a1,f341(f341(f91(a1),f89(a1)),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x100521)),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x100522)),f341(f341(f91(a1),f89(a1)),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f57(a1,x100521,x100522)))) % 197.39/197.42 [10092]~P1(f341(f341(f241(a1),f2(a1)),x100922))+E(f341(f341(f38(a1),f341(f341(f91(a1),f89(a1)),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x100921))),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x100922)),f341(f341(f38(a1),x100921),x100922)) % 197.39/197.42 [10093]~P1(f341(f341(f241(a1),x100932),f2(a1)))+E(f341(f341(f38(a1),f341(f341(f91(a1),f89(a1)),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x100931))),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x100932)),f341(f341(f38(a1),f341(f341(f91(a1),x100931),f89(a1))),x100932)) % 197.39/197.42 [10094]~P1(f341(f341(f241(a1),x100942),f2(a1)))+E(f57(a1,f341(f341(f91(a1),f89(a1)),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x100941)),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x100942)),f341(f341(f3(a1),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f57(a1,f341(f341(f91(a1),x100941),f89(a1)),x100942))),f89(a1))) % 197.39/197.42 [9927]~P89(x99271)+E(f341(f341(f251(x99271),f341(f118(x99271),a100)),f341(a128,f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x99272))),f341(f118(x99271),a100)) % 197.39/197.42 [9929]~P113(x99291)+E(f341(f341(f251(x99291),f341(f90(x99291),f89(x99291))),f341(a128,f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x99292))),f341(f90(x99291),f89(x99291))) % 197.39/197.42 [8048]~E(x80482,x80483)+P32(x80481,x80481,a338,x80482,x80483) % 197.39/197.42 [8607]E(x86071,x86072)+~P32(x86073,x86073,a338,x86071,x86072) % 197.39/197.42 [5104]~P34(x51041,x51043)+P34(x51041,f335(x51041,x51042,x51043)) % 197.39/197.42 [5345]~P46(x53451,x53452,x53453)+P46(f883(x53451),f166(x53451,x53452),f163(x53451,x53453)) % 197.39/197.42 [5346]~P11(x53461,x53462,x53463)+P11(f883(x53461),f166(x53461,x53462),f163(x53461,x53463)) % 197.39/197.42 [5459]P54(x54591,x54592,x54593)+~E(f348(x54593,x54592,x54591),f349(x54593,x54592,x54591)) % 197.39/197.42 [5460]P53(x54601,x54602,x54603)+~E(f755(x54603,x54602,x54601),f756(x54603,x54602,x54601)) % 197.39/197.42 [6420]P28(x64201,x64202,x64203)+~P27(x64201,f757(x64203,x64202,x64201),f771(x64203,x64202,x64201)) % 197.39/197.42 [4709]~E(f341(f173(x47092),x47091),x47093)+E(x47091,f341(f173(x47092),x47093)) % 197.39/197.42 [4710]~E(x47102,f341(f173(x47101),x47103))+E(f341(f173(x47101),x47102),x47103) % 197.39/197.42 [4754]E(x47541,x47542)+~E(f341(f173(x47543),x47541),f341(f173(x47543),x47542)) % 197.39/197.42 [4950]~P10(x49503,x49501)+P1(f341(f341(x49501,x49502),x49502)) % 197.39/197.42 [4951]~P48(x49513,x49511)+P1(f341(f341(x49511,x49512),x49512)) % 197.39/197.42 [4953]~P58(x49531,x49532)+P1(f341(f329(x49531,x49532),x49533)) % 197.39/197.42 [5014]~P34(x50141,x50142)+P34(f883(x50141),f341(f148(x50141,x50142),x50143)) % 197.39/197.42 [5018]~P1(f341(x50182,x50183))+~E(f341(f267(x50181),x50182),f193(f889(x50181,a874))) % 197.39/197.42 [5019]~P1(f341(x50192,x50193))+~E(f193(f889(x50191,a874)),f341(f267(x50191),x50192)) % 197.39/197.42 [5057]~P1(f341(x50571,x50573))+P1(f341(x50571,f102(x50572,x50571))) % 197.39/197.42 [5058]~P1(f341(x50581,x50583))+P1(f341(x50581,f417(x50581,x50582))) % 197.39/197.42 [5178]~E(x51782,x51783)+P1(f341(f341(f344(x51781),x51782),f341(a338,x51783))) % 197.39/197.42 [5190]P1(f341(x51901,x51902))+~P1(f341(x51901,f393(x51901,x51903))) % 197.39/197.42 [5236]E(f341(f173(x52361),x52362),f341(f341(f156(x52361),x52363),f129(x52361)))+~E(x52362,f341(f341(f156(x52361),x52363),f129(x52361))) % 197.39/197.42 [5237]~E(x52373,f341(f341(f156(x52371),x52372),f129(x52371)))+E(f341(f341(f156(x52371),x52372),f129(x52371)),f341(f173(x52371),x52373)) % 197.39/197.42 [5283]E(f341(f37(x52831),f646(x52832,x52833,x52831)),x52832)+~E(f341(f37(x52831),x52833),f341(a128,x52832)) % 197.39/197.42 [5289]~P34(x52891,x52893)+P1(f341(f341(f344(x52891),x52892),f330(x52891,x52893))) % 197.39/197.42 [5292]~E(f341(f173(x52922),x52921),f341(f341(f156(x52922),x52923),f129(x52922)))+E(x52921,f341(f341(f156(x52922),x52923),f129(x52922))) % 197.39/197.42 [5293]~E(f341(f341(f156(x52932),x52933),f129(x52932)),f341(f173(x52932),x52931))+E(x52931,f341(f341(f156(x52932),x52933),f129(x52932))) % 197.39/197.42 [5311]E(f96(f888(a881,a881),f60(x53111,x53112)),x53113)+~P1(f341(f60(x53111,x53112),x53113)) % 197.39/197.42 [5390]P1(f341(f341(x53901,x53902),x53902))+~P1(f341(f277(x53903,x53901),x53902)) % 197.39/197.42 [5391]~P1(f341(f341(x53912,x53913),x53913))+P1(f341(f277(x53911,x53912),x53913)) % 197.39/197.42 [5414]~E(x54142,f129(x54141))+P1(f341(f341(f344(f883(x54141)),x54142),f166(x54141,x54143))) % 197.39/197.42 [5422]~P46(x54221,x54222,x54223)+P46(x54221,x54222,f341(f293(x54221,x54221),x54223)) % 197.39/197.42 [5423]~P54(x54231,x54232,x54233)+P54(x54231,x54232,f341(f293(x54231,x54231),x54233)) % 197.39/197.42 [5440]~P59(x54401)+E(f57(x54401,f57(x54401,x54402,x54403),x54403),f57(x54401,x54402,x54403)) % 197.39/197.42 [5533]E(x55331,x55332)+~P1(f341(f341(f344(x55333),x55331),f341(a338,x55332))) % 197.39/197.42 [5577]~P2(x55771)+E(f195(x55771,x55772,f2(a881),x55773),x55773) % 197.39/197.42 [5594]P46(x55941,x55942,x55943)+~P46(x55941,x55942,f341(f293(x55941,x55941),x55943)) % 197.39/197.42 [5595]P54(x55951,x55952,x55953)+~P54(x55951,x55952,f341(f293(x55951,x55951),x55953)) % 197.39/197.42 [5599]~P101(x55992)+E(f153(x55991,x55992,x55993,f129(x55991)),f129(x55991)) % 197.39/197.42 [5611]E(f174(x56111,x56112,f157(x56111,x56113)),f157(x56111,f174(x56111,x56112,x56113)))+~P1(f341(f142(x56111),x56113)) % 197.39/197.42 [5709]~P1(f341(f341(x57093,x57092),x57092))+P1(f341(f341(f344(x57091),x57092),f277(x57091,x57093))) % 197.39/197.42 [5711]E(f341(f141(x57111,x57112),x57113),f129(x57111))+P1(f341(x57112,f540(x57113,x57112,x57111))) % 197.39/197.42 [5787]E(f77(x57871,x57872,x57873),x57872)+P1(f341(x57873,f347(x57872,x57871,x57873))) % 197.39/197.42 [5878]~P1(f341(f142(x58781),x58782))+P1(f341(f142(x58781),f178(x58781,x58782,x58783))) % 197.39/197.42 [5879]~P1(f341(f142(x58791),x58793))+P1(f341(f142(x58791),f174(x58791,x58792,x58793))) % 197.39/197.42 [5880]~P1(f341(f142(x58801),x58803))+P1(f341(f142(x58801),f145(x58801,x58802,x58803))) % 197.39/197.42 [5881]~P1(f341(f142(x58811),x58813))+P1(f341(f142(x58811),f180(x58811,x58812,x58813))) % 197.39/197.42 [5882]~P142(x58821,x58823,x58822)+P1(f341(x58821,f57(a1,x58822,x58823))) % 197.39/197.42 [5898]~P31(x58983,x58981,x58982)+P1(f341(x58981,f514(x58982,x58981,x58983))) % 197.39/197.42 [5899]~P31(x58993,x58991,x58992)+P1(f341(x58991,f521(x58992,x58991,x58993))) % 197.39/197.42 [5905]P1(f341(f341(x59051,x59052),x59052))+~P1(f341(f341(f344(x59053),x59052),f277(x59053,x59051))) % 197.39/197.42 [5919]E(f341(f141(x59191,x59192),x59193),f180(x59191,x59192,x59193))+P1(f341(x59192,f677(x59193,x59192,x59191))) % 197.39/197.42 [5966]~P1(f341(f142(x59661),x59663))+P1(f341(f142(f883(x59661)),f67(x59661,x59662,x59663))) % 197.39/197.42 [5999]~P105(x59991)+E(f341(f341(f126(f889(x59991,a874)),f341(f308(x59991),x59992)),f313(x59991,x59992,x59993)),f193(f889(x59991,a874))) % 197.39/197.42 [6000]~P105(x60001)+E(f341(f341(f126(f889(x60001,a874)),f341(f308(x60001),x60002)),f312(x60001,x60002,x60003)),f193(f889(x60001,a874))) % 197.39/197.42 [6001]~P105(x60011)+E(f341(f341(f126(f889(x60011,a874)),f341(f268(x60011),x60012)),f310(x60011,x60012,x60013)),f193(f889(x60011,a874))) % 197.39/197.42 [6044]~P1(f341(f279(x60443,x60442),x60441))+P1(f341(x60441,f627(x60441,x60442,x60443))) % 197.39/197.42 [6224]E(f341(f141(x62241,x62242),x62243),x62243)+~P1(f341(x62242,f541(x62243,x62242,x62241))) % 197.39/197.42 [6226]E(f341(f341(f318(x62261),f647(x62262,x62263,x62261)),f646(x62262,x62263,x62261)),x62263)+~E(f341(f37(x62261),x62263),f341(a128,x62262)) % 197.39/197.42 [6240]P142(x62401,x62402,x62403)+~P1(f341(x62401,f57(a1,x62403,x62402))) % 197.39/197.42 [6295]E(f180(x62951,x62952,x62953),x62953)+~P1(f341(x62952,f678(x62953,x62952,x62951))) % 197.39/197.42 [6391]~P1(f341(x63912,f803(x63913,x63912,x63911)))+P1(f341(f255(x63911,x63912),x63913)) % 197.39/197.42 [6392]~P1(f341(x63922,f524(x63923,x63922,x63921)))+P1(f341(f165(x63921,x63922),x63923)) % 197.39/197.42 [6651]~P1(f341(f329(x66511,x66512),f865(x66513,x66512,x66511)))+P1(f341(f329(x66511,x66512),x66513)) % 197.39/197.42 [6652]~P1(f341(f329(x66521,x66522),f870(x66523,x66522,x66521)))+P1(f341(f329(x66521,x66522),x66523)) % 197.39/197.42 [7104]~P1(f341(f279(x71041,x71043),x71042))+P1(f341(f341(f344(x71041),f627(x71042,x71043,x71041)),f277(x71041,x71043))) % 197.39/197.42 [7267]~P59(x72671)+E(f341(f341(f91(x72671),f341(f341(f92(x72671),x72672),f341(f341(f38(x72671),x72673),x72672))),f57(x72671,x72673,x72672)),x72673) % 197.39/197.42 [7729]E(f341(f341(f257(x77291,x77291),f407(x77292,x77293,x77291)),f407(x77292,x77293,x77291)),x77293)+~P1(f341(f341(f344(f888(x77291,x77291)),x77293),f271(x77291,x77292))) % 197.39/197.42 [7840]~P1(f341(f341(f344(x78401),f351(x78403,x78402,x78401)),f330(x78401,x78403)))+P1(f341(f341(f344(x78401),x78402),f330(x78401,x78403))) % 197.39/197.42 [7841]~P1(f341(f341(f344(x78411),f372(x78413,x78412,x78411)),f330(x78411,x78413)))+P1(f341(f341(f344(x78411),x78412),f330(x78411,x78413))) % 197.39/197.42 [7842]~P1(f341(f341(f344(x78421),f381(x78423,x78422,x78421)),f330(x78421,x78423)))+P1(f341(f341(f344(x78421),x78422),f330(x78421,x78423))) % 197.39/197.42 [8030]~P59(x80301)+E(f341(f341(f91(x80301),f341(f341(f92(x80301),f341(f341(f38(x80301),x80302),x80303)),x80303)),f57(x80301,x80302,x80303)),x80302) % 197.39/197.42 [8073]~E(f341(f37(x80731),x80732),f341(a128,x80733))+~P1(f341(f341(f344(x80731),f647(x80733,x80732,x80731)),f646(x80733,x80732,x80731))) % 197.39/197.42 [8407]~P42(x84071,x84072,x84073)+P1(f341(f341(f242(a1),f341(f227(x84071),f237(x84071,x84072,f231(x84071,x84073)))),f2(a1))) % 197.39/197.42 [8408]~P43(x84081,x84082,x84083)+P1(f341(f341(f241(a1),f341(f227(x84081),f237(x84081,x84082,f231(x84081,x84083)))),f2(a1))) % 197.39/197.42 [8702]P1(f341(f341(f241(f889(f888(x87021,x87021),a874)),f315(x87021,x87022)),f315(x87021,x87023)))+~P1(f341(f341(f241(f889(f888(x87021,x87021),a874)),x87022),f315(x87021,x87023))) % 197.39/197.42 [8876]P42(x88761,x88762,x88763)+~P1(f341(f341(f242(a1),f341(f227(x88761),f237(x88761,x88762,f231(x88761,x88763)))),f2(a1))) % 197.39/197.42 [8877]P43(x88771,x88772,x88773)+~P1(f341(f341(f241(a1),f341(f227(x88771),f237(x88771,x88772,f231(x88771,x88773)))),f2(a1))) % 197.39/197.42 [8987]E(x89871,f129(x89872))+~P1(f341(f341(f344(f888(f883(x89872),f883(x89872))),f341(f341(f257(f883(x89872),f883(x89872)),x89871),f129(x89872))),f163(x89872,x89873))) % 197.39/197.42 [9012]E(x90121,f129(x90122))+~P1(f341(f341(f344(f888(f883(x90122),f883(x90122))),f341(f341(f257(f883(x90122),f883(x90122)),f129(x90122)),x90121)),f163(x90122,x90123))) % 197.39/197.42 [9091]E(f341(f47(x90911,x90912),f396(x90913,x90911,x90912)),x90913)+~P1(f341(f341(f344(f888(f889(a881,f887(x90912,a881)),f887(x90911,a881))),x90913),f51(x90912,x90911))) % 197.39/197.42 [9124]E(f341(f341(f156(x91241),f495(x91242,x91243,x91241)),f502(x91242,x91243,x91241)),x91243)+~P1(f341(f341(f344(f888(f883(x91241),f883(x91241))),f341(f341(f257(f883(x91241),f883(x91241)),f129(x91241)),x91243)),f152(x91241,x91242))) % 197.39/197.42 [9355]~P123(x93551)+~P1(f341(f341(f242(x93551),f341(f341(f91(x93551),f341(f341(f92(x93551),x93552),x93552)),f341(f341(f92(x93551),x93553),x93553))),f2(x93551))) % 197.39/197.42 [9409]P1(f341(f72(x94091),x94092))+~P1(f341(f341(f344(f888(f889(x94091,a874),f889(x94091,a874))),f341(f341(f257(f889(x94091,a874),f889(x94091,a874)),x94093),x94092)),f314(x94091))) % 197.39/197.42 [10195]~P114(x101951)+~P1(f341(f341(f242(x101951),f341(f341(f91(x101951),f341(f341(f251(x101951),x101952),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x101951),x101953),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))),f2(x101951))) % 197.39/197.42 [4738]~E(x47383,f129(x47381))+E(f341(f341(f137(x47381),x47382),x47383),x47382) % 197.39/197.42 [4739]~E(x47392,f129(x47391))+E(f341(f341(f137(x47391),x47392),x47393),x47393) % 197.39/197.42 [4745]~E(x47452,f2(a881))+E(f341(f341(f177(x47451),x47452),x47453),f129(x47451)) % 197.39/197.42 [4749]~E(x47493,f129(x47491))+E(f341(f341(f177(x47491),x47492),x47493),f129(x47491)) % 197.39/197.42 [4782]~E(x47821,x47823)+E(x47821,f341(f341(f137(x47822),f129(x47822)),x47823)) % 197.39/197.42 [4866]~P107(x48662)+E(f341(f249(f889(x48661,x48662)),x48663),f249(x48662)) % 197.39/197.42 [4868]~P103(x48682)+E(f341(f193(f889(x48681,x48682)),x48683),f193(x48682)) % 197.39/197.42 [4886]E(x48861,f129(x48862))+~E(f341(f341(f137(x48862),x48863),x48861),x48863) % 197.39/197.42 [4887]E(x48871,f129(x48872))+~E(f341(f341(f137(x48872),x48871),x48873),x48873) % 197.39/197.42 [4895]E(x48951,f129(x48952))+~E(f341(f341(f137(x48952),x48953),x48951),f129(x48952)) % 197.39/197.42 [4896]E(x48961,f129(x48962))+~E(f341(f341(f137(x48962),x48961),x48963),f129(x48962)) % 197.39/197.42 [4923]~E(x49232,f2(a881))+E(f341(f341(f92(a881),x49231),x49232),f341(f341(f92(a881),x49233),x49232)) % 197.39/197.42 [4925]~E(x49251,f2(a881))+E(f341(f341(f92(a881),x49251),x49252),f341(f341(f92(a881),x49251),x49253)) % 197.39/197.42 [4977]~P108(x49771)+E(f341(f341(f91(x49771),x49772),x49773),f341(f341(f91(x49771),x49773),x49772)) % 197.39/197.42 [4978]~P108(x49781)+E(f341(f341(f92(x49781),x49782),x49783),f341(f341(f92(x49781),x49783),x49782)) % 197.39/197.42 [4980]~P101(x49801)+E(f341(f341(f246(x49801),x49802),x49803),f341(f341(f246(x49801),x49803),x49802)) % 197.39/197.42 [4982]~P101(x49821)+E(f341(f341(f192(x49821),x49822),x49823),f341(f341(f192(x49821),x49823),x49822)) % 197.39/197.42 [4984]~P94(x49841)+E(f341(f341(f125(x49841),x49842),x49843),f341(f341(f125(x49841),x49843),x49842)) % 197.39/197.42 [4985]~P95(x49851)+E(f341(f341(f125(x49851),x49852),x49853),f341(f341(f125(x49851),x49853),x49852)) % 197.39/197.42 [4986]~P95(x49861)+E(f341(f341(f126(x49861),x49862),x49863),f341(f341(f126(x49861),x49863),x49862)) % 197.39/197.42 [4988]~P100(x49881)+E(f341(f341(f126(x49881),x49882),x49883),f341(f341(f126(x49881),x49883),x49882)) % 197.39/197.42 [5052]E(f57(a881,x50521,x50522),f2(a881))+~E(x50521,f341(f341(f92(a881),x50522),x50523)) % 197.39/197.42 [5053]E(f57(a1,x50531,x50532),f2(a1))+~E(x50531,f341(f341(f92(a1),x50532),x50533)) % 197.39/197.42 [5116]E(x51161,x51162)+~E(f341(f341(f91(a881),x51163),x51161),f341(f341(f91(a881),x51163),x51162)) % 197.39/197.42 [5117]E(x51171,x51172)+~E(f341(f341(f91(a881),x51171),x51173),f341(f341(f91(a881),x51172),x51173)) % 197.39/197.42 [5129]~P73(x51291)+E(f341(f341(f91(x51291),x51292),f341(f90(x51291),x51293)),f341(f341(f3(x51291),x51292),x51293)) % 197.39/197.42 [5130]~P60(x51301)+E(f341(f341(f91(x51301),x51302),f341(f90(x51301),x51303)),f341(f341(f3(x51301),x51302),x51303)) % 197.39/197.42 [5131]~P111(x51311)+E(f341(f341(f91(x51311),x51312),f341(f90(x51311),x51313)),f341(f341(f3(x51311),x51312),x51313)) % 197.39/197.42 [5132]~P92(x51321)+E(f341(f341(f126(x51321),x51322),f341(f90(x51321),x51323)),f341(f341(f3(x51321),x51322),x51323)) % 197.39/197.42 [5133]~P73(x51331)+E(f341(f341(f3(x51331),x51332),f341(f90(x51331),x51333)),f341(f341(f91(x51331),x51332),x51333)) % 197.39/197.42 [5172]~P1(f341(x51723,x51722))+P1(f341(f341(f344(x51721),x51722),x51723)) % 197.39/197.42 [5174]~P70(x51742)+E(f341(f341(f8(x51741,x51742),x51743),f193(f889(x51741,a874))),f2(x51742)) % 197.39/197.42 [5176]~P72(x51762)+E(f341(f341(f11(x51761,x51762),x51763),f193(f889(x51761,a874))),f89(x51762)) % 197.39/197.42 [5227]~E(x52272,f341(f341(f91(a881),x52271),x52273))+P1(f341(f341(f241(a881),x52271),x52272)) % 197.39/197.42 [5229]~E(x52292,f193(f889(x52291,a874)))+E(f341(f341(f71(x52291),x52292),x52293),f193(f889(f889(x52291,a874),a874))) % 197.39/197.42 [5230]~E(x52302,f193(f889(x52301,a874)))+E(f193(f889(f889(x52301,a874),a874)),f341(f341(f71(x52301),x52302),x52303)) % 197.39/197.42 [5296]~E(f341(f270(x52962,x52963),x52961),f193(f889(x52963,a874)))+E(x52961,f193(f889(f888(x52962,x52963),a874))) % 197.39/197.42 [5297]~E(f341(f272(x52972,x52973),x52971),f193(f889(x52972,a874)))+E(x52971,f193(f889(f888(x52972,x52973),a874))) % 197.39/197.42 [5323]E(f341(f270(x53231,x53232),x53233),f193(f889(x53232,a874)))+~E(x53233,f193(f889(f888(x53231,x53232),a874))) % 197.39/197.42 [5324]E(f341(f272(x53241,x53242),x53243),f193(f889(x53241,a874)))+~E(x53243,f193(f889(f888(x53241,x53242),a874))) % 197.39/197.42 [5327]E(f284(x53271,x53272,x53273),f341(f341(f3(a115),x53272),x53273))+P1(f341(f341(f242(a115),x53272),x53273)) % 197.39/197.42 [5343]P1(f341(x53431,x53432))+~P1(f341(f341(f344(x53433),x53432),x53431)) % 197.39/197.42 [5383]E(x53831,x53832)+~E(f341(f90(f889(x53833,a874)),x53831),f341(f90(f889(x53833,a874)),x53832)) % 197.39/197.42 [5394]~E(x53941,f193(f889(x53942,a874)))+~P1(f341(f341(f344(x53942),x53943),x53941)) % 197.39/197.42 [5424]~E(x54242,f341(f341(f91(a1),x54241),f341(f116(a1),x54243)))+P1(f341(f341(f241(a1),x54241),x54242)) % 197.39/197.42 [5438]E(f341(f341(f318(x54381),x54382),x54383),x54383)+~P1(f341(f341(f344(x54381),x54382),x54383)) % 197.39/197.42 [5449]E(x54491,f193(f889(x54492,a874)))+~E(f341(f341(f71(x54492),x54491),x54493),f193(f889(f889(x54492,a874),a874))) % 197.39/197.42 [5450]E(x54501,f193(f889(x54502,a874)))+~E(f193(f889(f889(x54502,a874),a874)),f341(f341(f71(x54502),x54501),x54503)) % 197.39/197.42 [5456]~P135(x54561)+E(f341(f341(f92(x54561),f341(f90(x54561),x54562)),f341(f90(x54561),x54563)),f341(f341(f92(x54561),x54562),x54563)) % 197.39/197.42 [5458]~P63(x54581)+E(f341(f341(f298(x54581),f341(f90(x54581),x54582)),f341(f90(x54581),x54583)),f341(f341(f298(x54581),x54582),x54583)) % 197.39/197.42 [5490]~P1(f341(x54903,x54902))+P1(f341(f341(f344(x54901),x54902),f341(f267(x54901),x54903))) % 197.39/197.42 [5526]E(f174(x55261,x55262,x55263),x55263)+P1(f341(f341(f344(x55261),x55262),f341(f176(x55261),x55263))) % 197.39/197.42 [5603]~P1(f341(f142(x56031),x56033))+P1(f341(f142(x56031),f341(f141(x56031,x56032),x56033))) % 197.39/197.42 [5646]~P59(x56461)+E(f341(f341(f38(x56461),f57(x56461,x56462,x56463)),x56463),f2(x56461)) % 197.39/197.42 [5664]E(f178(x56641,f341(f341(f156(x56641),x56642),f129(x56641)),x56643),f129(x56641))+P1(f341(f341(f344(a881),f2(a881)),x56643)) % 197.39/197.42 [5721]E(f341(f341(f156(x57211),x57212),x57213),f145(x57211,x57212,x57213))+P1(f341(f341(f344(x57211),x57212),f341(f176(x57211),x57213))) % 197.39/197.42 [5738]E(x57381,x57382)+~E(f341(f341(f92(a881),f341(a128,x57383)),x57381),f341(f341(f92(a881),f341(a128,x57383)),x57382)) % 197.39/197.42 [5739]~E(x57392,f341(f341(f91(a1),x57391),f341(f116(a1),f341(a128,x57393))))+P1(f341(f341(f242(a1),x57391),x57392)) % 197.39/197.42 [5856]~E(x58563,f129(x58561))+E(f341(f341(f341(f186(f883(x58561),f883(x58561)),x58562),f172(x58561)),x58563),f129(x58561)) % 197.39/197.42 [5860]P1(f341(x58601,x58602))+~P1(f341(f341(f344(x58603),x58602),f341(f267(x58603),x58601))) % 197.39/197.42 [5870]~P80(x58701)+E(f341(f341(f317(x58701,x58701),f90(x58701)),f341(f309(x58701,x58702),x58703)),f312(x58701,f341(f90(x58701),x58703),f341(f90(x58701),x58702))) % 197.39/197.42 [5894]E(x58941,x58942)+~E(f341(f341(f318(x58943),x58941),f193(f889(x58943,a874))),f341(f341(f318(x58943),x58942),f193(f889(x58943,a874)))) % 197.39/197.42 [5907]~P105(x59071)+E(f341(f341(f126(f889(x59071,a874)),f341(f268(x59071),x59072)),f341(f309(x59071,x59072),x59073)),f193(f889(x59071,a874))) % 197.39/197.42 [5946]E(f145(x59461,x59462,x59463),x59463)+~P1(f341(f341(f344(x59461),x59462),f341(f176(x59461),x59463))) % 197.39/197.42 [5975]~P80(x59751)+E(f341(f341(f317(x59751,x59751),f90(x59751)),f313(x59751,x59752,x59753)),f313(x59751,f341(f90(x59751),x59753),f341(f90(x59751),x59752))) % 197.39/197.42 [5976]~P80(x59761)+E(f341(f341(f317(x59761,x59761),f90(x59761)),f310(x59761,x59762,x59763)),f310(x59761,f341(f90(x59761),x59763),f341(f90(x59761),x59762))) % 197.39/197.42 [5983]E(f341(f194(f883(x59831)),f174(x59831,x59832,x59833)),f341(f194(f883(x59831)),x59833))+P1(f341(f341(f344(x59831),x59832),f341(f176(x59831),x59833))) % 197.39/197.42 [6040]~P105(x60401)+E(f341(f341(f126(f889(x60401,a874)),f341(f309(x60401,x60402),x60403)),f341(f269(x60401),x60403)),f193(f889(x60401,a874))) % 197.39/197.42 [6041]~P80(x60411)+E(f341(f341(f317(x60411,x60411),f90(x60411)),f312(x60411,x60412,x60413)),f341(f309(x60411,f341(f90(x60411),x60413)),f341(f90(x60411),x60412))) % 197.39/197.42 [6117]E(f178(x61171,f341(f341(f156(x61171),x61172),f129(x61171)),x61173),f341(f341(f156(x61171),x61172),f129(x61171)))+~P1(f341(f341(f344(a881),f2(a881)),x61173)) % 197.39/197.42 [6145]~P7(x61451)+E(f57(x61451,f341(f90(x61451),f57(x61451,x61452,x61453)),x61453),f57(x61451,f341(f90(x61451),x61452),x61453)) % 197.39/197.42 [6237]~P1(f341(f72(f888(x62372,x62371)),x62373))+P1(f341(f72(x62371),f341(f270(x62372,x62371),x62373))) % 197.39/197.42 [6238]~P1(f341(f72(f888(x62381,x62382)),x62383))+P1(f341(f72(x62381),f341(f272(x62381,x62382),x62383))) % 197.39/197.42 [6244]~P105(x62441)+E(f341(f341(f126(f889(x62441,a874)),f313(x62441,x62442,x62443)),f341(f269(x62441),x62443)),f193(f889(x62441,a874))) % 197.39/197.42 [6245]~P105(x62451)+E(f341(f341(f126(f889(x62451,a874)),f312(x62451,x62452,x62453)),f341(f311(x62451),x62453)),f193(f889(x62451,a874))) % 197.39/197.42 [6246]~P105(x62461)+E(f341(f341(f126(f889(x62461,a874)),f310(x62461,x62462,x62463)),f341(f311(x62461),x62463)),f193(f889(x62461,a874))) % 197.39/197.42 [6320]E(f341(f341(f169(x63201),x63202),f515(x63202,x63203,x63201)),x63203)+~P1(f341(f341(f344(x63201),x63203),f341(f176(x63201),x63202))) % 197.39/197.42 [6477]E(x64771,f129(x64772))+~E(f341(f341(f341(f186(f883(x64772),f883(x64772)),x64773),f172(x64772)),x64771),f129(x64772)) % 197.39/197.42 [6583]~P1(f341(f72(f888(x65832,x65831)),x65833))+P1(f341(f72(f888(x65831,x65832)),f341(f293(x65832,x65831),x65833))) % 197.39/197.42 [6607]E(x66071,x66072)+~E(f297(a881,f294(a881),x66073,x66071),f341(f341(f318(a881),x66072),f193(f889(a881,a874)))) % 197.39/197.42 [6608]E(x66081,x66082)+~E(f297(a881,f294(a881),x66081,x66082),f341(f341(f318(a881),x66083),f193(f889(a881,a874)))) % 197.39/197.42 [6741]P54(x67411,x67412,x67413)+P1(f341(f341(f344(x67411),f349(x67413,x67412,x67411)),x67412)) % 197.39/197.42 [6742]P54(x67421,x67422,x67423)+P1(f341(f341(f344(x67421),f348(x67423,x67422,x67421)),x67422)) % 197.39/197.42 [6750]P1(f341(f329(x67501,x67502),x67503))+P1(f341(f341(x67502,f865(x67503,x67502,x67501)),x67503)) % 197.39/197.42 [6751]P1(f341(f329(x67511,x67512),x67513))+P1(f341(f341(x67512,f870(x67513,x67512,x67511)),x67513)) % 197.39/197.42 [6783]E(f341(f194(f883(x67831)),f174(x67831,x67832,x67833)),f341(f341(f3(a881),f341(f194(f883(x67831)),x67833)),f89(a881)))+~P1(f341(f341(f344(x67831),x67832),f341(f176(x67831),x67833))) % 197.39/197.42 [6821]P1(f341(f255(x68211,x68212),x68213))+P1(f341(f341(f344(x68211),f803(x68213,x68212,x68211)),x68213)) % 197.39/197.42 [6832]~P1(f341(f72(f888(x68322,x68321)),f341(f293(x68321,x68322),x68323)))+P1(f341(f72(f888(x68321,x68322)),x68323)) % 197.39/197.42 [6891]~P1(f341(f341(f344(x68911),x68912),f341(f176(x68911),f130(x68911,x68913))))+P1(f341(f341(f344(x68911),x68912),f341(f176(x68911),x68913))) % 197.39/197.42 [6899]P28(x68991,x68992,x68993)+P1(f341(f341(f344(f880(x68991)),f771(x68993,x68992,x68991)),x68993)) % 197.39/197.42 [6932]E(f341(f141(x69321,x69322),x69323),x69323)+P1(f341(f341(f344(x69321),f541(x69323,x69322,x69321)),f341(f176(x69321),x69323))) % 197.39/197.42 [6948]E(f341(f141(x69481,x69482),x69483),f129(x69481))+P1(f341(f341(f344(x69481),f540(x69483,x69482,x69481)),f341(f176(x69481),x69483))) % 197.39/197.42 [6981]E(f180(x69811,x69812,x69813),x69813)+P1(f341(f341(f344(x69811),f678(x69813,x69812,x69811)),f341(f176(x69811),x69813))) % 197.39/197.42 [7058]P1(f341(f165(x70581,x70582),x70583))+P1(f341(f341(f344(x70581),f524(x70583,x70582,x70581)),f341(f176(x70581),x70583))) % 197.39/197.42 [7067]~P31(x70671,x70673,x70672)+P1(f341(f341(f344(x70671),f514(x70672,x70673,x70671)),f341(f176(x70671),x70672))) % 197.39/197.42 [7068]~P31(x70681,x70683,x70682)+P1(f341(f341(f344(x70681),f521(x70682,x70683,x70681)),f341(f176(x70681),x70682))) % 197.39/197.42 [7105]~P70(x71051)+E(f341(f341(f91(x71051),f341(f341(f8(a881,x71051),x71052),f341(f268(a881),x71053))),f341(x71052,x71053)),f341(f341(f8(a881,x71051),x71052),f341(f268(a881),f341(a128,x71053)))) % 197.39/197.42 [7232]~P70(x72321)+E(f341(f341(f91(x72321),f341(f341(f8(a881,x72321),x72322),f341(f308(a881),x72323))),f341(x72322,f341(a128,x72323))),f341(f341(f8(a881,x72321),x72322),f341(f308(a881),f341(a128,x72323)))) % 197.39/197.42 [7373]P1(f341(f341(f344(f883(x73731)),x73732),f166(x73731,x73733)))+P1(f341(f341(f344(x73731),f516(x73733,x73732,x73731)),f341(f176(x73731),x73732))) % 197.39/197.42 [7390]~P1(f341(f341(f344(f883(x73901)),x73902),f166(x73901,f330(x73901,x73903))))+P1(f341(f341(f344(f883(x73901)),x73902),f330(f883(x73901),f162(x73901,x73903)))) % 197.39/197.42 [7412]~P1(f341(f341(f344(f883(x74121)),x74122),f330(f883(x74121),f162(x74121,x74123))))+P1(f341(f341(f344(f883(x74121)),x74122),f166(x74121,f330(x74121,x74123)))) % 197.39/197.42 [7439]E(f341(f341(f341(f186(f883(x74391),f883(x74391)),x74392),f172(x74391)),x74393),x74393)+~P1(f341(f341(f241(a881),f341(f194(f883(x74391)),x74393)),f89(a881))) % 197.39/197.42 [7499]~P18(x74991,x74992,x74993,f249(f889(x74991,a874)))+P18(f883(x74991),f883(x74992),f341(f159(x74991,x74992),x74993),f249(f889(f883(x74991),a874))) % 197.39/197.42 [7649]E(x76491,f341(f341(f91(a881),f341(f341(f92(a881),f341(f256(a881,a881),x76492)),x76493)),f341(f261(a881,a881),x76492)))+~P1(f341(f60(x76491,x76493),x76492)) % 197.39/197.42 [7657]P18(x76571,x76572,x76573,f249(f889(x76571,a874)))+~P18(f883(x76571),f883(x76572),f341(f159(x76571,x76572),x76573),f249(f889(f883(x76571),a874))) % 197.39/197.42 [7696]~P1(f341(f341(f199(x76961),x76962),x76963))+P1(f341(f341(f341(f341(a201,x76961),x76962),f455(x76963,x76962,x76961)),x76963)) % 197.39/197.42 [7697]~P1(f341(f341(f199(x76971),x76972),x76973))+P1(f341(f341(f341(f341(a201,x76971),x76972),f612(x76973,x76972,x76971)),x76973)) % 197.39/197.42 [7790]P1(f341(f341(f344(f883(x77901)),x77902),f166(x77901,x77903)))+~P1(f341(f341(f344(x77901),f516(x77903,x77902,x77901)),x77903)) % 197.39/197.42 [7913]E(x79131,x79132)+~E(f341(f341(f9(x79133,f889(x79133,a874),a874),f344(x79133)),x79131),f341(f341(f9(x79133,f889(x79133,a874),a874),f344(x79133)),x79132)) % 197.39/197.42 [7918]~P1(f341(f341(f344(f888(x79181,x79181)),x79183),f271(x79181,x79182)))+P1(f341(f341(f344(x79181),f407(x79182,x79183,x79181)),x79182)) % 197.39/197.42 [8291]E(x82911,f129(x82912))+P1(f341(f341(f344(x82912),f341(f256(x82912,f888(a115,a115)),f341(f285(x82912,x82911),x82913))),f341(f176(x82912),x82911))) % 197.39/197.42 [8385]~P6(x83851)+E(f341(f147(x83851,x83851,f341(f9(x83851,x83851,x83851),f91(x83851)),x83852),f341(f173(x83851),x83853)),f341(f147(x83851,x83851,f91(x83851),x83852),x83853)) % 197.39/197.42 [8909]~P101(x89091)+E(f341(f176(x89091),f155(x89091,x89091,f7(x89091),x89092,x89093)),f341(f341(f318(x89091),x89092),f341(f176(x89091),x89093))) % 197.39/197.42 [8919]P1(f341(f341(f242(a881),f2(a881)),f470(x89191,x89192,x89193)))+~P1(f341(f341(f344(f888(x89193,x89193)),x89192),f341(f341(f296(x89193,x89193,x89193),x89191),f315(x89193,x89191)))) % 197.39/197.42 [9085]E(f341(f47(x90851,x90852),f341(f41(x90852,x90851),x90853)),x90853)+~P1(f341(f341(f344(f888(f889(a881,f887(x90852,a881)),f887(x90851,a881))),x90853),f51(x90852,x90851))) % 197.39/197.42 [9188]~P56(x91881,x91882)+~P1(f341(f341(f344(f888(x91881,x91881)),f341(f341(f257(x91881,x91881),x91883),x91883)),f341(f341(f296(x91881,x91881,x91881),x91882),f315(x91881,x91882)))) % 197.39/197.42 [9320]~E(f341(f341(f126(f889(f888(x93201,x93201),a874)),f341(f293(x93201,x93201),x93202)),f315(x93201,x93202)),f193(f889(f888(x93201,x93201),a874)))+~P1(f341(f341(f344(f888(x93201,x93201)),f341(f341(f257(x93201,x93201),x93203),x93203)),f341(f341(f296(x93201,x93201,x93201),x93202),f315(x93201,x93202)))) % 197.39/197.42 [9497]~P1(f341(f72(x94971),x94972))+P1(f341(f341(f241(a881),f341(f37(x94971),f341(f341(f3(f889(x94971,a874)),x94972),f341(f341(f318(x94971),x94973),f193(f889(x94971,a874)))))),f341(f37(x94971),x94972))) % 197.39/197.42 [5032]~E(x50323,f129(x50321))+E(f149(x50321,f341(f341(f156(x50321),x50322),x50323)),x50322) % 197.39/197.42 [5049]~E(x50493,f129(x50491))+E(f130(x50491,f341(f341(f156(x50491),x50492),x50493)),f129(x50491)) % 197.39/197.42 [5081]E(x50811,f129(x50812))+E(f149(x50812,f341(f341(f137(x50812),x50813),x50811)),f149(x50812,x50811)) % 197.39/197.42 [5083]E(x50831,f129(x50832))+E(f149(x50832,f341(f341(f156(x50832),x50833),x50831)),f149(x50832,x50831)) % 197.39/197.42 [5090]~E(x50903,f129(x50901))+E(f149(x50901,f341(f341(f137(x50901),x50902),x50903)),f149(x50901,x50902)) % 197.39/197.42 [5091]~E(x50913,f129(x50911))+E(f130(x50911,f341(f341(f137(x50911),x50912),x50913)),f130(x50911,x50912)) % 197.39/197.42 [5123]E(x51231,f129(x51232))+E(f341(f146(x51232),f341(f341(f137(x51232),x51231),x51233)),f341(f146(x51232),x51231)) % 197.39/197.42 [5152]~E(x51522,f129(x51521))+E(f341(f146(x51521),f341(f341(f137(x51521),x51522),x51523)),f341(f146(x51521),x51523)) % 197.39/197.42 [5203]~P101(x52031)+E(f341(f341(f246(x52031),x52032),f341(f341(f192(x52031),x52032),x52033)),x52032) % 197.39/197.42 [5204]~P101(x52041)+E(f341(f341(f192(x52041),x52042),f341(f341(f246(x52041),x52042),x52043)),x52042) % 197.39/197.42 [5205]~P95(x52051)+E(f341(f341(f125(x52051),x52052),f341(f341(f126(x52051),x52052),x52053)),x52052) % 197.39/197.42 [5206]~P95(x52061)+E(f341(f341(f126(x52061),x52062),f341(f341(f125(x52061),x52062),x52063)),x52062) % 197.39/197.42 [5225]~P59(x52251)+E(f57(x52251,f341(f341(f92(x52251),x52252),x52253),x52253),f2(x52251)) % 197.39/197.42 [5226]~P59(x52261)+E(f57(x52261,f341(f341(f92(x52261),x52262),x52263),x52262),f2(x52261)) % 197.39/197.42 [5291]~P60(x52911)+E(f341(f90(x52911),f341(f341(f3(x52911),x52912),x52913)),f341(f341(f3(x52911),x52913),x52912)) % 197.39/197.42 [5347]E(x53471,f129(x53472))+E(f130(x53472,f341(f341(f137(x53472),x53473),x53471)),f341(f341(f137(x53472),x53473),f130(x53472,x53471))) % 197.39/197.42 [5348]E(x53481,f129(x53482))+E(f130(x53482,f341(f341(f156(x53482),x53483),x53481)),f341(f341(f156(x53482),x53483),f130(x53482,x53481))) % 197.39/197.42 [5349]~P8(x53491)+E(f39(x53491,f341(f341(f318(x53491),x53492),x53493)),f341(f341(f125(x53491),x53492),f39(x53491,x53493))) % 197.39/197.42 [5350]~P8(x53501)+E(f40(x53501,f341(f341(f318(x53501),x53502),x53503)),f341(f341(f126(x53501),x53502),f40(x53501,x53503))) % 197.39/197.42 [5398]~P93(x53981)+E(f341(f341(f92(x53981),x53982),f341(f341(f92(x53981),x53982),x53983)),f341(f341(f92(x53981),x53982),x53983)) % 197.39/197.42 [5400]~P101(x54001)+E(f341(f341(f246(x54001),x54002),f341(f341(f246(x54001),x54002),x54003)),f341(f341(f246(x54001),x54002),x54003)) % 197.39/197.42 [5402]~P101(x54021)+E(f341(f341(f192(x54021),x54022),f341(f341(f192(x54021),x54022),x54023)),f341(f341(f192(x54021),x54022),x54023)) % 197.39/197.42 [5404]~P94(x54041)+E(f341(f341(f125(x54041),x54042),f341(f341(f125(x54041),x54042),x54043)),f341(f341(f125(x54041),x54042),x54043)) % 197.39/197.42 [5405]~P95(x54051)+E(f341(f341(f125(x54051),x54052),f341(f341(f125(x54051),x54052),x54053)),f341(f341(f125(x54051),x54052),x54053)) % 197.39/197.42 [5406]~P95(x54061)+E(f341(f341(f126(x54061),x54062),f341(f341(f126(x54061),x54062),x54063)),f341(f341(f126(x54061),x54062),x54063)) % 197.39/197.42 [5408]~P100(x54081)+E(f341(f341(f126(x54081),x54082),f341(f341(f126(x54081),x54082),x54083)),f341(f341(f126(x54081),x54082),x54083)) % 197.39/197.42 [5417]~P59(x54171)+E(f57(x54171,f341(f341(f91(x54171),x54172),x54173),x54173),f57(x54171,x54172,x54173)) % 197.39/197.42 [5418]~P59(x54181)+E(f57(x54181,f341(f341(f91(x54181),x54182),x54183),x54182),f57(x54181,x54183,x54182)) % 197.39/197.42 [5425]~P135(x54251)+E(f341(f341(f92(x54251),x54252),f341(f90(x54251),x54253)),f341(f90(x54251),f341(f341(f92(x54251),x54252),x54253))) % 197.39/197.42 [5426]~P63(x54261)+E(f341(f341(f298(x54261),x54262),f341(f90(x54261),x54263)),f341(f90(x54261),f341(f341(f298(x54261),x54262),x54263))) % 197.39/197.42 [5427]~P69(x54271)+E(f341(f341(f91(x54271),x54272),f341(f170(x54271),x54273)),f341(f170(x54271),f341(f341(f156(x54271),x54272),x54273))) % 197.39/197.42 [5455]~P135(x54551)+E(f341(f341(f92(x54551),f341(f90(x54551),x54552)),x54553),f341(f341(f92(x54551),x54552),f341(f90(x54551),x54553))) % 197.39/197.42 [5461]~P11(x54611,x54612,x54613)+E(f39(f889(x54611,a874),f341(f341(f71(x54611),x54612),x54613)),x54612) % 197.39/197.42 [5518]~P109(x55181)+E(f341(f341(f92(x55181),x55182),f341(f341(f251(x55181),x55182),x55183)),f341(f341(f251(x55181),x55182),f341(a128,x55183))) % 197.39/197.42 [5519]~P108(x55191)+E(f341(f341(f92(x55191),x55192),f341(f341(f251(x55191),x55192),x55193)),f341(f341(f251(x55191),x55192),f341(a128,x55193))) % 197.39/197.42 [5529]~P73(x55291)+E(f341(f341(f91(x55291),f341(f90(x55291),x55292)),f341(f341(f91(x55291),x55292),x55293)),x55293) % 197.39/197.42 [5549]~P2(x55491)+E(f341(f341(f251(x55491),f341(f116(x55491),x55492)),x55493),f341(f116(x55491),f341(f341(f251(a881),x55492),x55493))) % 197.39/197.42 [5550]~P113(x55501)+E(f341(f341(f251(x55501),f341(f117(x55501),x55502)),x55503),f341(f117(x55501),f341(f341(f251(a1),x55502),x55503))) % 197.39/197.42 [5555]~P81(x55551)+E(f341(f85(x55551),f341(f341(f3(x55551),x55552),x55553)),f341(f85(x55551),f341(f341(f3(x55551),x55553),x55552))) % 197.39/197.42 [5557]~P114(x55571)+E(f341(f341(f92(x55571),f93(x55571,x55572)),f93(x55571,x55573)),f93(x55571,f341(f341(f92(x55571),x55572),x55573))) % 197.39/197.42 [5561]E(x55611,f129(x55612))+E(f341(f341(f137(x55612),f341(f175(x55612),x55611)),x55613),f341(f175(x55612),f341(f341(f137(x55612),x55611),x55613))) % 197.39/197.42 [5567]~E(x55672,f341(a128,f341(f341(f91(a881),x55671),x55673)))+P1(f341(f341(f242(a881),x55671),x55672)) % 197.39/197.42 [5569]~P135(x55691)+E(f341(f341(f92(x55691),f341(f90(x55691),x55692)),x55693),f341(f90(x55691),f341(f341(f92(x55691),x55692),x55693))) % 197.39/197.42 [5570]~P118(x55701)+E(f341(f341(f298(x55701),f341(f90(x55701),x55702)),x55703),f341(f90(x55701),f341(f341(f298(x55701),x55702),x55703))) % 197.39/197.42 [5571]~P114(x55711)+E(f341(f341(f251(x55711),f341(f85(x55711),x55712)),x55713),f341(f85(x55711),f341(f341(f251(x55711),x55712),x55713))) % 197.39/197.42 [5663]E(f604(x56631,x56632,x56633),f639(x56631,x56632,x56633))+E(f341(f341(f126(f889(x56633,a874)),x56632),x56631),f193(f889(x56633,a874))) % 197.39/197.42 [5677]~P70(x56772)+E(f341(f341(f8(x56771,x56772),f341(f18(x56772,x56771),f2(x56772))),x56773),f2(x56772)) % 197.39/197.42 [5678]~P72(x56782)+E(f341(f341(f11(x56781,x56782),f341(f18(x56782,x56781),f89(x56782))),x56783),f89(x56782)) % 197.39/197.42 [5680]~P2(x56801)+E(f341(f341(f91(x56801),f341(f116(x56801),x56802)),f341(f116(x56801),x56803)),f341(f116(x56801),f341(f341(f91(a881),x56802),x56803))) % 197.39/197.42 [5681]~P2(x56811)+E(f341(f341(f92(x56811),f341(f116(x56811),x56812)),f341(f116(x56811),x56813)),f341(f116(x56811),f341(f341(f92(a881),x56812),x56813))) % 197.39/197.42 [5682]~P113(x56821)+E(f341(f341(f91(x56821),f341(f117(x56821),x56822)),f341(f117(x56821),x56823)),f341(f117(x56821),f341(f341(f91(a1),x56822),x56823))) % 197.39/197.42 [5683]~P113(x56831)+E(f341(f341(f92(x56831),f341(f117(x56831),x56832)),f341(f117(x56831),x56833)),f341(f117(x56831),f341(f341(f92(a1),x56832),x56833))) % 197.39/197.42 [5684]~P113(x56841)+E(f341(f341(f3(x56841),f341(f117(x56841),x56842)),f341(f117(x56841),x56843)),f341(f117(x56841),f341(f341(f3(a1),x56842),x56843))) % 197.39/197.42 [5687]~P89(x56871)+E(f341(f341(f3(x56871),f341(f118(x56871),x56872)),f341(f118(x56871),x56873)),f341(f118(x56871),f341(f341(f3(a1),x56872),x56873))) % 197.39/197.42 [5688]~P89(x56881)+E(f341(f341(f91(x56881),f341(f118(x56881),x56882)),f341(f118(x56881),x56883)),f341(f118(x56881),f341(f341(f91(a1),x56882),x56883))) % 197.39/197.42 [5689]~P89(x56891)+E(f341(f341(f92(x56891),f341(f118(x56891),x56892)),f341(f118(x56891),x56893)),f341(f118(x56891),f341(f341(f92(a1),x56892),x56893))) % 197.39/197.42 [5745]~E(x57453,x57452)+P1(f341(f341(f241(f889(x57451,a874)),x57452),x57453)) % 197.39/197.42 [5751]~E(x57512,x57513)+P1(f341(f341(f241(f889(x57511,a874)),x57512),x57513)) % 197.39/197.42 [5756]~P73(x57561)+E(f341(f341(f91(x57561),f341(f90(x57561),x57562)),f341(f90(x57561),x57563)),f341(f90(x57561),f341(f341(f91(x57561),x57563),x57562))) % 197.39/197.42 [5757]~P60(x57571)+E(f341(f341(f91(x57571),f341(f90(x57571),x57572)),f341(f90(x57571),x57573)),f341(f90(x57571),f341(f341(f91(x57571),x57572),x57573))) % 197.39/197.42 [5758]~P71(x57581)+E(f341(f341(f192(x57581),f341(f90(x57581),x57582)),f341(f90(x57581),x57583)),f341(f90(x57581),f341(f341(f246(x57581),x57582),x57583))) % 197.39/197.42 [5759]~P71(x57591)+E(f341(f341(f246(x57591),f341(f90(x57591),x57592)),f341(f90(x57591),x57593)),f341(f90(x57591),f341(f341(f192(x57591),x57592),x57593))) % 197.39/197.42 [5760]~P92(x57601)+E(f341(f341(f126(x57601),f341(f90(x57601),x57602)),f341(f90(x57601),x57603)),f341(f90(x57601),f341(f341(f125(x57601),x57602),x57603))) % 197.39/197.42 [5761]~P92(x57611)+E(f341(f341(f125(x57611),f341(f90(x57611),x57612)),f341(f90(x57611),x57613)),f341(f90(x57611),f341(f341(f126(x57611),x57612),x57613))) % 197.39/197.42 [5762]~P114(x57621)+E(f341(f341(f92(x57621),f341(f85(x57621),x57622)),f341(f85(x57621),x57623)),f341(f85(x57621),f341(f341(f92(x57621),x57622),x57623))) % 197.39/197.42 [5763]~P65(x57631)+E(f341(f341(f298(x57631),f341(f85(x57631),x57632)),f341(f85(x57631),x57633)),f341(f85(x57631),f341(f341(f298(x57631),x57632),x57633))) % 197.39/197.42 [5764]~P69(x57641)+E(f341(f341(f91(x57641),f341(f170(x57641),x57642)),f341(f170(x57641),x57643)),f341(f170(x57641),f341(f341(f137(x57641),x57642),x57643))) % 197.39/197.42 [5765]E(x57651,f193(f889(x57652,a874)))+~E(f341(f341(f125(f889(x57652,a874)),x57653),x57651),f193(f889(x57652,a874))) % 197.39/197.42 [5766]E(x57661,f193(f889(x57662,a874)))+~E(f341(f341(f125(f889(x57662,a874)),x57661),x57663),f193(f889(x57662,a874))) % 197.39/197.42 [5767]~P143(x57671,x57673,x57672)+P1(f341(x57671,f341(f341(f38(a1),x57672),x57673))) % 197.39/197.42 [5826]~P1(f341(f72(x58261),x58263))+P1(f341(f72(x58261),f341(f341(f318(x58261),x58262),x58263))) % 197.39/197.42 [5827]~P1(f341(f142(x58271),x58273))+P1(f341(f142(x58271),f341(f341(f177(x58271),x58272),x58273))) % 197.39/197.42 [5828]~P1(f341(f142(x58281),x58283))+P1(f341(f142(x58281),f341(f341(f143(x58281),x58282),x58283))) % 197.39/197.42 [5861]~P101(x58611)+P1(f341(f341(f241(x58611),x58612),f341(f341(f192(x58611),x58613),x58612))) % 197.39/197.42 [5862]~P101(x58621)+P1(f341(f341(f241(x58621),x58622),f341(f341(f192(x58621),x58622),x58623))) % 197.39/197.42 [5863]~P94(x58631)+P1(f341(f341(f241(x58631),x58632),f341(f341(f125(x58631),x58633),x58632))) % 197.39/197.42 [5864]~P95(x58641)+P1(f341(f341(f241(x58641),x58642),f341(f341(f125(x58641),x58643),x58642))) % 197.39/197.42 [5865]~P94(x58651)+P1(f341(f341(f241(x58651),x58652),f341(f341(f125(x58651),x58652),x58653))) % 197.39/197.42 [5866]~P95(x58661)+P1(f341(f341(f241(x58661),x58662),f341(f341(f125(x58661),x58662),x58663))) % 197.39/197.42 [5867]~P108(x58671)+P1(f341(f341(f294(x58671),x58672),f341(f341(f92(x58671),x58673),x58672))) % 197.39/197.42 [5868]~P108(x58681)+P1(f341(f341(f294(x58681),x58682),f341(f341(f92(x58681),x58682),x58683))) % 197.39/197.42 [5883]~E(x58831,f2(a881))+E(f341(f341(f38(a881),f341(f341(f92(a881),x58831),x58832)),f341(f341(f92(a881),x58831),x58833)),f2(a881)) % 197.39/197.42 [5951]P1(f341(x59511,x59512))+P1(f341(f341(f199(f32(x59511,x59513)),x59512),x59512)) % 197.39/197.42 [5967]~P89(x59671)+E(f341(f341(f3(x59671),f341(f118(x59671),x59672)),f341(f118(x59671),x59673)),f341(f118(x59671),f341(f341(f91(a1),x59672),f341(f90(a1),x59673)))) % 197.39/197.42 [6023]E(x60231,f2(a881))+E(f341(f341(f38(a881),f341(f341(f92(a881),x60231),x60232)),f341(f341(f92(a881),x60231),x60233)),f341(f341(f38(a881),x60232),x60233)) % 197.39/197.42 [6061]E(f157(x60611,f341(f341(f156(x60611),x60612),x60613)),f341(f341(f156(x60611),x60612),f157(x60611,x60613)))+P1(f341(f341(f344(x60611),x60612),f341(f176(x60611),x60613))) % 197.39/197.42 [6090]P143(x60901,x60902,x60903)+~P1(f341(x60901,f341(f341(f38(a1),x60903),x60902))) % 197.39/197.42 [6156]E(x61561,f129(x61562))+E(f341(f341(f156(x61562),f341(f146(x61562),x61561)),f341(f341(f177(x61562),x61563),f341(f175(x61562),x61561))),f341(f341(f177(x61562),f341(a128,x61563)),x61561)) % 197.39/197.42 [6164]E(f341(f341(f3(f889(x61641,a874)),x61642),x61643),x61642)+~E(f341(f341(f126(f889(x61641,a874)),x61642),x61643),f193(f889(x61641,a874))) % 197.39/197.42 [6178]E(f157(x61781,f341(f341(f156(x61781),x61782),x61783)),f157(x61781,x61783))+~P1(f341(f341(f344(x61781),x61782),f341(f176(x61781),x61783))) % 197.39/197.42 [6208]~P1(f341(f341(f242(a881),x62081),x62083))+P1(f341(f341(f242(a881),x62081),f341(f341(f91(a881),x62082),x62083))) % 197.39/197.42 [6210]~P1(f341(f341(f242(a881),x62101),x62102))+P1(f341(f341(f242(a881),x62101),f341(f341(f91(a881),x62102),x62103))) % 197.39/197.42 [6212]~P1(f341(f341(f241(a881),x62121),x62123))+P1(f341(f341(f241(a881),x62121),f341(f341(f91(a881),x62122),x62123))) % 197.39/197.42 [6214]~P1(f341(f341(f241(a881),x62141),x62142))+P1(f341(f341(f241(a881),x62141),f341(f341(f91(a881),x62142),x62143))) % 197.39/197.42 [6250]P1(f341(f72(x62501),x62502))+~P1(f341(f72(x62501),f341(f341(f318(x62501),x62503),x62502))) % 197.39/197.42 [6251]P1(f341(f142(x62511),x62512))+~P1(f341(f142(x62511),f341(f341(f137(x62511),x62513),x62512))) % 197.39/197.42 [6252]P1(f341(f142(x62521),x62522))+~P1(f341(f142(x62521),f341(f341(f137(x62521),x62522),x62523))) % 197.39/197.42 [6253]P1(f341(f142(x62531),x62532))+~P1(f341(f142(x62531),f341(f341(f156(x62531),x62533),x62532))) % 197.39/197.42 [6303]~E(f57(a1,x63032,x63031),f57(a1,x63033,x63031))+P1(f341(f341(f294(a1),x63031),f341(f341(f3(a1),x63032),x63033))) % 197.39/197.42 [6308]~P108(x63081)+E(f341(f341(f91(x63081),x63082),f341(f341(f92(x63081),x63083),x63082)),f341(f341(f92(x63081),f341(f341(f91(x63081),x63083),f89(x63081))),x63082)) % 197.39/197.42 [6362]~E(x63621,x63622)+~P1(f341(f341(f242(f889(x63623,a874)),x63621),x63622)) % 197.39/197.42 [6409]P1(f341(f341(f344(x64091),x64092),x64093))+P1(f341(f341(f344(x64091),x64092),f341(f90(f889(x64091,a874)),x64093))) % 197.39/197.42 [6417]E(f149(x64171,f341(f341(f143(x64171),x64172),x64173)),f149(x64171,x64173))+~P1(f341(f341(f242(a881),x64172),f341(f194(f883(x64171)),x64173))) % 197.39/197.42 [6418]E(f341(f341(f177(x64181),x64182),f130(x64181,x64183)),f341(f341(f177(x64181),x64182),x64183))+~P1(f341(f341(f242(a881),x64182),f341(f194(f883(x64181)),x64183))) % 197.39/197.42 [6479]E(f341(f341(f341(f186(f883(x64791),f883(x64791)),x64792),f172(x64791)),x64793),x64793)+~E(f57(a881,x64792,f341(f194(f883(x64791)),x64793)),f2(a881)) % 197.39/197.42 [6486]~P11(x64861,x64863,x64862)+E(f341(f341(f296(x64861,x64861,x64861),f341(f293(x64861,x64861),x64862)),x64862),x64862) % 197.39/197.42 [6527]~E(f341(f341(f125(f889(x65271,a874)),x65272),x65273),x65273)+P1(f341(f341(f241(f889(x65271,a874)),x65272),x65273)) % 197.39/197.42 [6531]~P53(x65311,x65311,x65313)+P53(x65311,x65311,f341(f341(f186(f888(x65311,x65311),a874),x65312),x65313)) % 197.39/197.42 [6534]~P1(f341(f341(f344(x65341),x65343),f341(f176(x65341),x65342)))+P1(f341(f341(f242(a881),f2(a881)),f341(f194(f883(x65341)),x65342))) % 197.39/197.42 [6562]~P81(x65621)+E(f341(f85(x65621),f341(f341(f91(x65621),f341(f85(x65621),x65622)),f341(f85(x65621),x65623))),f341(f341(f91(x65621),f341(f85(x65621),x65622)),f341(f85(x65621),x65623))) % 197.39/197.42 [6575]E(f341(f341(f38(a881),f341(f341(f92(a881),x65751),x65752)),f341(f341(f92(a881),x65751),x65753)),f341(f341(f38(a881),x65752),x65753))+~P1(f341(f341(f242(a881),f2(a881)),x65751)) % 197.39/197.42 [6605]E(f57(a1,x66051,x66052),f57(a1,x66053,x66052))+~P1(f341(f341(f294(a1),x66052),f341(f341(f3(a1),x66051),x66053))) % 197.39/197.42 [6627]E(x66271,x66272)+~P1(f341(f341(f341(f341(a201,a25),x66271),x66273),x66272)) % 197.39/197.42 [6775]E(f341(f341(f125(f889(x67751,a874)),x67752),x67753),x67752)+~P1(f341(f341(f241(f889(x67751,a874)),x67753),x67752)) % 197.39/197.42 [6777]E(f341(f341(f125(f889(x67771,a874)),x67772),x67773),x67773)+~P1(f341(f341(f241(f889(x67771,a874)),x67772),x67773)) % 197.39/197.42 [6778]E(f341(f341(f126(f889(x67781,a874)),x67782),x67783),x67783)+~P1(f341(f341(f241(f889(x67781,a874)),x67783),x67782)) % 197.39/197.42 [6779]E(f341(f341(f126(f889(x67791,a874)),x67792),x67793),x67792)+~P1(f341(f341(f241(f889(x67791,a874)),x67792),x67793)) % 197.39/197.42 [6830]~P1(f341(f142(x68301),x68302))+E(f341(f341(f3(f889(x68301,a874)),f341(f176(x68301),x68302)),f341(f341(f318(x68301),x68303),f193(f889(x68301,a874)))),f341(f176(x68301),f174(x68301,x68303,x68302))) % 197.39/197.42 [6888]P34(x68881,x68882)+~P34(x68881,f341(f341(f186(f888(x68881,x68881),a874),x68883),x68882)) % 197.39/197.42 [6907]~E(x69071,f2(a881))+P1(f341(f341(f294(a881),f341(f341(f92(a881),x69071),x69072)),f341(f341(f92(a881),x69071),x69073))) % 197.39/197.42 [6960]P1(f341(f61(x69601,x69602),f341(a63,x69603)))+~P1(f341(f61(f341(f90(a1),x69601),f341(f90(a1),x69602)),x69603)) % 197.39/197.42 [6968]E(f341(f341(f3(f889(x69681,a874)),f341(f341(f318(x69681),x69682),x69683)),f341(f341(f318(x69681),x69682),f193(f889(x69681,a874)))),x69683)+P1(f341(f341(f344(x69681),x69682),x69683)) % 197.39/197.42 [6988]E(f341(f341(f126(f889(x69881,a874)),f341(f176(x69881),x69882)),f341(f176(x69881),x69883)),f193(f889(x69881,a874)))+~P1(f341(f142(x69881),f341(f341(f137(x69881),x69882),x69883))) % 197.39/197.42 [7003]~P1(f341(f341(f344(x70031),x70032),f341(f176(x70031),x70033)))+~P1(f341(f142(x70031),f341(f341(f156(x70031),x70032),x70033))) % 197.39/197.42 [7085]E(f341(f341(f126(f889(x70851,a874)),x70852),x70853),f193(f889(x70851,a874)))+P1(f341(f341(f344(x70851),f604(x70853,x70852,x70851)),x70852)) % 197.39/197.42 [7086]E(f341(f341(f126(f889(x70861,a874)),x70862),x70863),f193(f889(x70861,a874)))+P1(f341(f341(f344(x70861),f639(x70863,x70862,x70861)),x70863)) % 197.39/197.42 [7089]E(f130(x70891,f341(f341(f177(x70891),x70892),x70893)),f341(f341(f177(x70891),f341(f341(f3(a881),x70892),f89(a881))),x70893))+~P1(f341(f341(f241(a881),x70892),f341(f194(f883(x70891)),x70893))) % 197.39/197.42 [7170]P1(f341(f341(f242(a881),f2(a881)),x71701))+P1(f341(f341(f241(a881),f341(f341(f92(a881),x71702),x71701)),f341(f341(f92(a881),x71703),x71701))) % 197.39/197.42 [7171]P1(f341(f341(f242(a881),f2(a881)),x71711))+P1(f341(f341(f241(a881),f341(f341(f92(a881),x71711),x71712)),f341(f341(f92(a881),x71711),x71713))) % 197.39/197.42 [7175]~P1(f341(f341(f344(x71751),x71752),x71753))+~P1(f341(f341(f344(x71751),x71752),f341(f90(f889(x71751,a874)),x71753))) % 197.39/197.42 [7181]~P1(f341(f341(f242(f889(x71811,a874)),x71812),x71813))+P1(f341(f341(f241(f889(x71811,a874)),x71812),x71813)) % 197.39/197.42 [7276]~P1(f341(f341(f242(a881),x72762),x72763))+P1(f341(f341(f242(a881),f341(f341(f91(a881),x72761),x72762)),f341(f341(f91(a881),x72761),x72763))) % 197.39/197.42 [7277]~P1(f341(f341(f242(a881),x72771),x72773))+P1(f341(f341(f242(a881),f341(f341(f91(a881),x72771),x72772)),f341(f341(f91(a881),x72773),x72772))) % 197.39/197.42 [7278]~P1(f341(f341(f242(a1),x72781),x72783))+P1(f341(f341(f242(a1),f341(f341(f91(a1),x72781),x72782)),f341(f341(f91(a1),x72783),x72782))) % 197.39/197.42 [7281]~P1(f341(f341(f241(a881),x72812),x72813))+P1(f341(f341(f241(a881),f341(f341(f91(a881),x72811),x72812)),f341(f341(f91(a881),x72811),x72813))) % 197.39/197.42 [7282]~P1(f341(f341(f241(a881),x72821),x72823))+P1(f341(f341(f241(a881),f341(f341(f91(a881),x72821),x72822)),f341(f341(f91(a881),x72823),x72822))) % 197.39/197.42 [7284]~P1(f341(f341(f241(a881),x72842),x72843))+P1(f341(f341(f241(a881),f341(f341(f92(a881),x72841),x72842)),f341(f341(f92(a881),x72841),x72843))) % 197.39/197.42 [7286]~P1(f341(f341(f241(a881),x72861),x72863))+P1(f341(f341(f241(a881),f341(f341(f92(a881),x72861),x72862)),f341(f341(f92(a881),x72863),x72862))) % 197.39/197.42 [7287]~P1(f341(f341(f241(a881),x72871),x72873))+P1(f341(f341(f241(a881),f341(f341(f38(a881),x72871),x72872)),f341(f341(f38(a881),x72873),x72872))) % 197.39/197.42 [7288]~P1(f341(f341(f241(a881),x72883),x72882))+P1(f341(f341(f241(a881),f341(f341(f3(a881),x72881),x72882)),f341(f341(f3(a881),x72881),x72883))) % 197.39/197.42 [7289]~P1(f341(f341(f241(a881),x72891),x72893))+P1(f341(f341(f241(a881),f341(f341(f3(a881),x72891),x72892)),f341(f341(f3(a881),x72893),x72892))) % 197.39/197.42 [7290]~P1(f341(f341(f241(a1),x72902),x72903))+P1(f341(f341(f241(a1),f341(f341(f91(a1),x72901),x72902)),f341(f341(f91(a1),x72901),x72903))) % 197.39/197.42 [7293]~P1(f341(f341(f294(a881),x72932),x72933))+P1(f341(f341(f294(a881),f341(f341(f92(a881),x72931),x72932)),f341(f341(f92(a881),x72931),x72933))) % 197.39/197.42 [7372]E(x73721,x73722)+~P1(f341(f341(f344(x73723),x73721),f341(f341(f318(x73723),x73722),f193(f889(x73723,a874))))) % 197.39/197.42 [7374]~E(f341(f341(f126(f889(x73741,a874)),x73742),x73743),f193(f889(x73741,a874)))+P1(f341(f341(f241(f889(x73741,a874)),x73742),f341(f90(f889(x73741,a874)),x73743))) % 197.39/197.42 [7380]P1(f341(f341(f344(f889(x73801,a874)),x73802),f341(f316(x73801),x73803)))+~P1(f341(f341(f241(f889(x73801,a874)),x73802),x73803)) % 197.39/197.42 [7428]E(f341(f341(f156(x74281),f341(f341(f169(x74281),x74282),x74283)),f341(f341(f143(x74281),f341(a128,x74283)),x74282)),f341(f341(f143(x74281),x74283),x74282))+~P1(f341(f341(f242(a881),x74283),f341(f194(f883(x74281)),x74282))) % 197.39/197.42 [7449]P1(f341(f341(f344(f888(x74491,x74491)),x74492),f315(x74491,x74493)))+~P1(f341(f341(f344(f888(x74491,x74491)),x74492),x74493)) % 197.39/197.42 [7459]~P1(f341(f341(f344(f889(x74591,a874)),x74592),f341(f316(x74591),x74593)))+P1(f341(f341(f241(f889(x74591,a874)),x74592),x74593)) % 197.39/197.42 [7507]P1(f341(f341(f241(f889(x75071,a874)),x75072),f39(f889(x75071,a874),x75073)))+~P1(f341(f341(f344(f889(x75071,a874)),x75072),x75073)) % 197.39/197.42 [7532]~P113(x75321)+E(f341(f341(f92(x75321),f341(f341(f251(x75321),f341(f90(x75321),f89(x75321))),x75322)),f341(f341(f251(x75321),x75323),x75322)),f341(f341(f251(x75321),f341(f90(x75321),x75323)),x75322)) % 197.39/197.42 [7553]E(f341(f341(f169(x75531),x75532),f341(f341(f3(a881),f341(f194(f883(x75531)),x75532)),f341(a128,x75533))),f341(f341(f169(x75531),f341(f173(x75531),x75532)),x75533))+~P1(f341(f341(f242(a881),x75533),f341(f194(f883(x75531)),x75532))) % 197.39/197.42 [7571]~E(f341(f341(f126(f889(x75711,a874)),f697(x75713,x75712,x75711)),x75713),f193(f889(x75711,a874)))+E(f341(f341(f126(f889(x75711,a874)),f39(f889(x75711,a874),x75712)),x75713),f193(f889(x75711,a874))) % 197.39/197.42 [7632]~P1(f341(f341(f344(x76323),x76322),f341(f176(x76323),x76321)))+P1(f341(f341(f242(a881),f515(x76321,x76322,x76323)),f341(f194(f883(x76323)),x76321))) % 197.39/197.42 [7640]P1(f341(f341(f344(x76401),f341(f341(f169(x76401),x76402),x76403)),f341(f176(x76401),x76402)))+~P1(f341(f341(f242(a881),x76403),f341(f194(f883(x76401)),x76402))) % 197.39/197.42 [7739]~P1(f341(x77392,f681(x77393,x77392,x77391)))+E(f341(f341(f143(x77391),f341(f194(f883(x77391)),f180(x77391,x77392,x77393))),x77393),f129(x77391)) % 197.39/197.42 [7749]P1(f341(f341(f241(f889(f883(x77491),a874)),f166(x77491,x77492)),f166(x77491,x77493)))+~P1(f341(f341(f241(f889(x77491,a874)),x77492),x77493)) % 197.39/197.42 [7750]P1(f341(f341(f241(f889(f883(x77501),a874)),f165(x77501,x77502)),f165(x77501,x77503)))+~P1(f341(f341(f241(f889(x77501,a874)),x77502),x77503)) % 197.39/197.42 [7777]E(f341(f341(f126(f889(x77771,a874)),f39(f889(x77771,a874),x77772)),x77773),f193(f889(x77771,a874)))+P1(f341(f341(f344(f889(x77771,a874)),f697(x77773,x77772,x77771)),x77772)) % 197.39/197.42 [7779]~P1(f341(f341(f344(f889(x77791,a874)),x77793),x77792))+P1(f341(f341(f241(f889(x77791,a874)),f40(f889(x77791,a874),x77792)),x77793)) % 197.39/197.42 [7781]E(f341(f341(f126(f889(x77811,a874)),x77812),x77813),f193(f889(x77811,a874)))+~P1(f341(f341(f241(f889(x77811,a874)),x77812),f341(f90(f889(x77811,a874)),x77813))) % 197.39/197.42 [7826]E(f341(f341(f3(a881),f341(f341(f91(a881),f341(f170(a881),x78261)),x78262)),f341(f341(f169(a881),x78261),x78263)),f341(f170(a881),f341(f341(f164(a881,x78261),x78263),x78262)))+~P1(f341(f341(f242(a881),x78263),f341(f194(f883(a881)),x78261))) % 197.39/197.42 [7877]P1(f341(f341(f242(a881),x78771),x78772))+~P1(f341(f341(f242(a881),f341(f341(f91(a881),x78773),x78771)),f341(f341(f91(a881),x78773),x78772))) % 197.39/197.42 [7878]P1(f341(f341(f242(a881),x78781),x78782))+~P1(f341(f341(f242(a881),f341(f341(f92(a881),x78783),x78781)),f341(f341(f92(a881),x78783),x78782))) % 197.39/197.42 [7879]P1(f341(f341(f242(a881),x78791),x78792))+~P1(f341(f341(f242(a881),f341(f341(f92(a881),x78791),x78793)),f341(f341(f92(a881),x78792),x78793))) % 197.39/197.42 [7882]P1(f341(f341(f241(a881),x78821),x78822))+~P1(f341(f341(f241(a881),f341(f341(f91(a881),x78823),x78821)),f341(f341(f91(a881),x78823),x78822))) % 197.39/197.42 [7911]P1(f341(f341(f242(a881),f2(a881)),x79111))+~P1(f341(f341(f242(a881),f341(f341(f92(a881),x79112),x79111)),f341(f341(f92(a881),x79113),x79111))) % 197.39/197.42 [7912]P1(f341(f341(f242(a881),f2(a881)),x79121))+~P1(f341(f341(f242(a881),f341(f341(f92(a881),x79121),x79122)),f341(f341(f92(a881),x79121),x79123))) % 197.39/197.42 [7985]E(f254(x79851,x79852,x79853),x79852)+~P1(f341(f341(f241(f889(x79851,a874)),x79853),f341(f341(f318(x79851),x79852),f193(f889(x79851,a874))))) % 197.39/197.42 [8042]~P1(f341(f142(x80421),x80423))+E(f341(f141(x80421,f341(f341(f10(a874,a874,x80421),a336),f341(a338,x80422))),x80423),f174(x80421,x80422,x80423)) % 197.39/197.42 [8066]E(f341(f341(f143(x80661),f341(f194(f883(x80661)),f180(x80661,x80662,x80663))),x80663),f129(x80661))+P1(f341(f341(f344(x80661),f681(x80663,x80662,x80661)),f341(f176(x80661),x80663))) % 197.39/197.42 [8069]E(f341(f341(f137(x80691),f341(f341(f177(x80691),x80692),x80693)),f341(f341(f156(x80691),f341(f341(f169(x80691),x80693),x80692)),f129(x80691))),f341(f341(f177(x80691),f341(a128,x80692)),x80693))+~P1(f341(f341(f242(a881),x80692),f341(f194(f883(x80691)),x80693))) % 197.39/197.42 [8134]E(f341(f141(x81341,f341(f341(f10(a874,a874,x81341),a336),f341(a338,x81342))),x81343),x81343)+P1(f341(f341(f344(x81341),x81342),f341(f176(x81341),x81343))) % 197.39/197.42 [8142]P1(f341(f341(f241(f889(f889(x81421,a874),a874)),f255(x81421,x81422)),f255(x81421,x81423)))+~P1(f341(f341(f241(f889(x81421,a874)),x81422),x81423)) % 197.39/197.42 [8189]~P1(f341(f142(x81891),x81893))+P1(f341(f142(x81891),f341(f341(f341(f186(f883(x81891),f883(x81891)),x81892),f172(x81891)),x81893))) % 197.39/197.42 [8193]~P1(f341(f341(f242(a881),x81932),x81933))+P1(f341(f341(f242(a881),f341(f341(f92(a881),f341(a128,x81931)),x81932)),f341(f341(f92(a881),f341(a128,x81931)),x81933))) % 197.39/197.42 [8214]P1(f341(f341(f241(f889(f889(x82141,a874),a874)),f341(f316(x82141),x82142)),f341(f316(x82141),x82143)))+~P1(f341(f341(f241(f889(x82141,a874)),x82142),x82143)) % 197.39/197.42 [8366]~P1(f341(f341(f241(f889(x83661,a874)),x83663),x83662))+P1(f341(f341(f241(f889(x83661,a874)),f341(f90(f889(x83661,a874)),x83662)),f341(f90(f889(x83661,a874)),x83663))) % 197.39/197.42 [8380]E(f341(f341(f317(a881,a881),f341(f341(f9(a881,a881,a881),f3(a881)),x83801)),f341(f309(a881,x83802),x83803)),f341(f309(a881,f341(f341(f3(a881),x83802),x83801)),f341(f341(f3(a881),x83803),x83801)))+~P1(f341(f341(f242(a881),x83801),x83803)) % 197.39/197.42 [8434]~P69(x84341)+E(f341(f341(f91(x84341),x84342),f341(f147(x84341,x84341,f91(x84341),f2(x84341)),x84343)),f341(f147(x84341,x84341,f91(x84341),x84342),x84343)) % 197.39/197.42 [8516]~P81(x85161)+P1(f341(f341(f241(x85161),f341(f85(x85161),f341(f341(f91(x85161),x85162),x85163))),f341(f341(f91(x85161),f341(f85(x85161),x85162)),f341(f85(x85161),x85163)))) % 197.39/197.42 [8517]~P81(x85171)+P1(f341(f341(f241(x85171),f341(f85(x85171),f341(f341(f3(x85171),x85172),x85173))),f341(f341(f91(x85171),f341(f85(x85171),x85172)),f341(f85(x85171),x85173)))) % 197.39/197.42 [8529]E(f341(f341(f91(a1),f341(f341(f92(a1),x85291),f57(a1,f341(f341(f38(a1),x85292),x85291),x85293))),f57(a1,x85292,x85291)),f57(a1,x85292,f341(f341(f92(a1),x85291),x85293)))+~P1(f341(f341(f242(a1),f2(a1)),x85293)) % 197.39/197.42 [8538]E(f341(f341(f137(x85381),f341(f341(f177(x85381),x85382),x85383)),f341(f341(f156(x85381),f341(f146(x85381),f341(f341(f143(x85381),x85382),x85383))),f129(x85381))),f341(f341(f177(x85381),f341(a128,x85382)),x85383))+~P1(f341(f341(f242(a881),x85382),f341(f194(f883(x85381)),x85383))) % 197.39/197.42 [8556]E(f341(f280(x85561,f341(f341(f159(x85561,f888(a115,x85561)),f341(f257(a115,x85561),f89(a115))),x85562)),f341(a5,x85563)),f341(f341(f169(x85561),x85562),x85563))+~P1(f341(f341(f242(a881),x85563),f341(f194(f883(x85561)),x85562))) % 197.39/197.42 [8622]P1(f341(f341(f344(f888(x86221,x86221)),x86222),f341(f341(f296(x86221,x86221,x86221),x86223),f315(x86221,x86223))))+~P1(f341(f341(f344(f888(x86221,x86221)),x86222),x86223)) % 197.39/197.42 [8643]P1(f341(f341(f241(a881),x86431),x86432))+~P1(f341(f341(f241(a881),f341(f341(f92(a881),f341(a128,x86433)),x86431)),f341(f341(f92(a881),f341(a128,x86433)),x86432))) % 197.39/197.42 [8657]P1(f341(f341(f241(f889(x86571,a874)),x86572),x86573))+~P1(f341(f341(f241(f889(x86571,a874)),f341(f90(f889(x86571,a874)),x86573)),f341(f90(f889(x86571,a874)),x86572))) % 197.39/197.42 [8675]P1(f341(f142(x86751),x86752))+~P1(f341(f142(x86751),f341(f341(f341(f186(f883(x86751),f883(x86751)),x86753),f172(x86751)),x86752))) % 197.39/197.42 [8750]E(f341(f292(x87501,x87501,f315(x87501,x87502)),x87503),x87503)+~P1(f341(f341(f241(f889(x87501,a874)),f341(f292(x87501,x87501,x87502),x87503)),x87503)) % 197.39/197.42 [8792]~P101(x87921)+P16(x87921,f341(f141(x87921,f341(f341(f9(x87921,x87921,a874),a338),f341(x87922,x87923))),x87923)) % 197.39/197.42 [8798]~P1(f341(f341(f241(a881),x87981),x87982))+P1(f341(f341(f241(a881),x87981),f341(f147(a881,a881,f91(a881),x87982),x87983))) % 197.39/197.42 [8894]~P1(f341(f341(f344(f888(x88941,x88941)),x88942),f315(x88941,x88943)))+P1(f341(f341(f344(f888(x88941,x88941)),x88942),f341(f341(f186(f888(x88941,x88941),a874),f649(x88943,x88942,x88941)),x88943))) % 197.39/197.42 [8972]~P69(x89721)+E(f341(f341(f91(x89721),x89722),f341(f147(x89721,x89721,f341(f9(x89721,x89721,x89721),f91(x89721)),f2(x89721)),f341(f173(x89721),x89723))),f341(f147(x89721,x89721,f91(x89721),x89722),x89723)) % 197.39/197.42 [9236]P53(x92361,x92362,x92363)+P1(f341(f341(f344(f888(x92361,x92362)),f341(f341(f257(x92361,x92362),f794(x92363,x92362,x92361)),f756(x92363,x92362,x92361))),x92363)) % 197.39/197.42 [9237]P53(x92371,x92372,x92373)+P1(f341(f341(f344(f888(x92371,x92372)),f341(f341(f257(x92371,x92372),f794(x92373,x92372,x92371)),f755(x92373,x92372,x92371))),x92373)) % 197.39/197.42 [9306]~P1(f341(f341(f344(f888(x93061,x93061)),x93062),f341(f341(f296(x93061,x93061,x93061),x93063),f315(x93061,x93063))))+P1(f341(f341(f344(f888(x93061,x93061)),x93062),f341(f341(f186(f888(x93061,x93061),a874),f470(x93063,x93062,x93061)),x93063))) % 197.39/197.42 [9307]~P1(f341(x93071,f341(f341(f169(x93072),x93073),f341(f194(f883(x93072)),f180(x93072,x93071,x93073)))))+~P1(f341(f341(f242(a881),f341(f194(f883(x93072)),f180(x93072,x93071,x93073))),f341(f194(f883(x93072)),x93073))) % 197.39/197.42 [9386]~P1(f341(f341(f241(f889(x93861,a874)),x93862),x93863))+P1(f341(f341(f241(f889(x93861,a874)),f341(f341(f9(x93861,f889(x93861,a874),a874),f344(x93861)),x93862)),f341(f341(f9(x93861,f889(x93861,a874),a874),f344(x93861)),x93863))) % 197.39/197.42 [9446]~P1(f341(f341(f344(f888(f889(x94461,a874),f889(x94461,a874))),f341(f341(f257(f889(x94461,a874),f889(x94461,a874)),x94462),x94463)),f314(x94461)))+P1(f341(f341(f242(f889(x94461,a874)),x94462),x94463)) % 197.39/197.42 [9474]P54(x94741,x94742,x94743)+~P1(f341(f341(f344(f888(x94741,x94741)),f341(f341(f257(x94741,x94741),f349(x94743,x94742,x94741)),f348(x94743,x94742,x94741))),x94743)) % 197.39/197.42 [9475]P54(x94751,x94752,x94753)+~P1(f341(f341(f344(f888(x94751,x94751)),f341(f341(f257(x94751,x94751),f348(x94753,x94752,x94751)),f349(x94753,x94752,x94751))),x94753)) % 197.39/197.42 [9506]~P1(f341(f341(f344(f888(f883(x95061),f883(x95061))),f341(f341(f257(f883(x95061),f883(x95061)),x95062),x95062)),f152(x95061,x95063)))+P1(f341(f341(f344(f888(x95061,x95061)),f341(f341(f257(x95061,x95061),f509(x95062,x95063,x95061)),f509(x95062,x95063,x95061))),x95063)) % 197.39/197.42 [9558]P1(f341(f341(f241(f889(x95581,a874)),x95582),x95583))+~P1(f341(f341(f241(f889(x95581,a874)),f341(f341(f9(x95581,f889(x95581,a874),a874),f344(x95581)),x95582)),f341(f341(f9(x95581,f889(x95581,a874),a874),f344(x95581)),x95583))) % 197.39/197.42 [9636]E(f341(f341(f3(a881),f341(f341(f8(a881,a881),x96361),f341(f268(a881),x96362))),f341(f341(f8(a881,a881),x96363),f341(f268(a881),x96362))),f341(f341(f8(a881,a881),f341(f341(f20(a881,a881,a881),f341(f341(f10(a881,f889(a881,a881),a881),f3(a881)),x96361)),x96363)),f341(f268(a881),x96362)))+~P1(f341(f341(f241(a881),f341(x96363,f598(x96362,x96361,x96363))),f341(x96361,f598(x96362,x96361,x96363)))) % 197.39/197.42 [5600]~P73(x56001)+E(f341(f341(f91(x56001),f341(f341(f3(x56001),x56002),x56003)),x56003),x56002) % 197.39/197.42 [5601]~P73(x56011)+E(f341(f341(f3(x56011),f341(f341(f91(x56011),x56012),x56013)),x56013),x56012) % 197.39/197.42 [5836]~P73(x58361)+E(f341(f341(f91(x58361),x58362),f341(f341(f91(x58361),f341(f90(x58361),x58362)),x58363)),x58363) % 197.39/197.42 [5922]~P77(x59221)+E(f341(f341(f92(x59221),f341(f341(f251(x59221),x59222),x59223)),x59222),f341(f341(f251(x59221),x59222),f341(a128,x59223))) % 197.39/197.42 [5923]~P108(x59231)+E(f341(f341(f92(x59231),f341(f341(f251(x59231),x59232),x59233)),x59232),f341(f341(f251(x59231),x59232),f341(a128,x59233))) % 197.39/197.42 [6142]~P114(x61421)+E(f341(f85(x61421),f341(f341(f251(x61421),f341(f90(x61421),x61422)),x61423)),f341(f85(x61421),f341(f341(f251(x61421),x61422),x61423))) % 197.39/197.42 [6186]~P77(x61861)+E(f341(f341(f92(x61861),f341(f341(f251(x61861),x61862),x61863)),x61862),f341(f341(f92(x61861),x61862),f341(f341(f251(x61861),x61862),x61863))) % 197.39/197.42 [6243]E(f341(f341(f3(a115),f341(f341(f91(a115),x62431),x62432)),x62433),f284(x62431,x62432,x62433))+~P1(f341(f341(f242(a115),x62432),x62433)) % 197.39/197.42 [6266]~E(f341(f341(f143(x62661),x62663),x62662),f129(x62661))+P1(f341(f341(f241(a881),f341(f194(f883(x62661)),x62662)),x62663)) % 197.39/197.42 [6415]E(f341(f341(f92(a881),f341(f118(a881),x64151)),f341(f341(f92(a881),f341(f118(a881),x64152)),x64153)),f2(a881))+~P1(f341(f341(f242(a1),x64151),a94)) % 197.39/197.42 [6433]~P63(x64331)+E(f341(f341(f251(x64331),f341(f341(f298(x64331),f89(x64331)),x64332)),x64333),f341(f341(f298(x64331),f89(x64331)),f341(f341(f251(x64331),x64332),x64333))) % 197.39/197.42 [6516]E(f341(f341(f3(a881),f341(f341(f91(a881),x65161),x65162)),x65163),f341(f341(f3(a881),x65161),f341(f341(f3(a881),x65163),x65162)))+~P1(f341(f341(f241(a881),x65162),x65163)) % 197.39/197.42 [6517]E(f341(f341(f3(a881),f341(f341(f91(a881),x65171),x65172)),x65173),f341(f341(f91(a881),x65171),f341(f341(f3(a881),x65172),x65173)))+~P1(f341(f341(f241(a881),x65173),x65172)) % 197.39/197.42 [6553]~P101(x65531)+P1(f341(f341(f241(x65531),f341(f341(f246(x65531),x65532),x65533)),x65533)) % 197.39/197.42 [6554]~P101(x65541)+P1(f341(f341(f241(x65541),f341(f341(f246(x65541),x65542),x65543)),x65542)) % 197.39/197.42 [6555]~P95(x65551)+P1(f341(f341(f241(x65551),f341(f341(f126(x65551),x65552),x65553)),x65553)) % 197.39/197.42 [6556]~P100(x65561)+P1(f341(f341(f241(x65561),f341(f341(f126(x65561),x65562),x65563)),x65563)) % 197.39/197.42 [6557]~P95(x65571)+P1(f341(f341(f241(x65571),f341(f341(f126(x65571),x65572),x65573)),x65572)) % 197.39/197.42 [6558]~P100(x65581)+P1(f341(f341(f241(x65581),f341(f341(f126(x65581),x65582),x65583)),x65582)) % 197.39/197.42 [6574]E(f341(f341(f38(a1),f341(f341(f38(a1),x65741),x65742)),x65743),f341(f341(f38(a1),x65741),f341(f341(f92(a1),x65742),x65743)))+~P1(f341(f341(f242(a1),f2(a1)),x65743)) % 197.39/197.42 [6630]~P108(x66301)+E(f341(f341(f91(x66301),f341(f341(f92(x66301),x66302),x66303)),x66303),f341(f341(f92(x66301),f341(f341(f91(x66301),x66302),f89(x66301))),x66303)) % 197.39/197.42 [6631]~P89(x66311)+E(f341(f341(f92(x66311),f341(f90(x66311),f341(f118(x66311),x66312))),x66313),f341(f341(f92(x66311),f341(f118(x66311),f341(f90(a1),x66312))),x66313)) % 197.39/197.42 [6707]~P69(x67071)+E(f341(f170(x67071),f341(f341(f159(x67072,x67071),f341(f18(x67071,x67072),f2(x67071))),x67073)),f2(x67071)) % 197.39/197.42 [6720]E(f341(f341(f91(a881),f341(f118(a881),x67201)),f341(f341(f91(a881),f341(f118(a881),x67202)),x67203)),f341(f341(f91(a881),f341(f118(a881),x67202)),x67203))+~P1(f341(a198,f341(f118(a1),x67201))) % 197.39/197.42 [6735]~P8(x67351)+E(f39(x67351,f341(f341(f318(x67351),x67352),f341(f341(f318(x67351),x67353),f193(f889(x67351,a874))))),f341(f341(f125(x67351),x67352),x67353)) % 197.39/197.42 [6736]~P8(x67361)+E(f40(x67361,f341(f341(f318(x67361),x67362),f341(f341(f318(x67361),x67363),f193(f889(x67361,a874))))),f341(f341(f126(x67361),x67362),x67363)) % 197.39/197.42 [6757]E(f341(f341(f177(x67571),x67572),x67573),x67573)+~P1(f341(f341(f241(a881),f341(f194(f883(x67571)),x67573)),x67572)) % 197.39/197.42 [6769]E(f341(f341(f143(x67691),x67692),x67693),f129(x67691))+~P1(f341(f341(f241(a881),f341(f194(f883(x67691)),x67693)),x67692)) % 197.39/197.42 [6781]E(f341(f341(f3(a881),f341(f341(f91(a881),x67811),x67812)),x67813),f341(f341(f91(a881),f341(f341(f3(a881),x67811),x67813)),x67812))+~P1(f341(f341(f241(a881),x67813),x67811)) % 197.39/197.42 [6796]~P1(f341(f341(f242(a881),x67961),x67963))+P1(f341(f341(f242(a881),f341(f341(f3(a881),x67961),x67962)),x67963)) % 197.39/197.42 [6822]~P101(x68221)+E(f174(x68221,x68222,f341(f341(f154(x68221,x68221,f7(x68221)),x68222),x68223)),x68223) % 197.39/197.42 [6920]E(f341(f341(f3(a881),f341(f341(f91(a881),x69201),x69202)),f341(a128,x69203)),f341(f341(f3(a881),x69201),f341(a128,f341(f341(f3(a881),x69203),x69202))))+~P1(f341(f341(f241(a881),x69202),x69203)) % 197.39/197.42 [6921]~P114(x69211)+P1(f341(f341(f241(x69211),f2(x69211)),f341(f341(f251(x69211),f341(f85(x69211),x69212)),x69213))) % 197.39/197.42 [6975]P17(x69751,x69752,x69753)+~P1(f341(f341(f241(f889(f880(x69751),a874)),x69753),x69752)) % 197.39/197.42 [7015]~P1(f341(f72(x70151),x70152))+P1(f341(f72(x70151),f341(f341(f3(f889(x70151,a874)),x70152),x70153))) % 197.39/197.42 [7016]~P1(f341(f72(x70161),x70163))+P1(f341(f72(x70161),f341(f341(f126(f889(x70161,a874)),x70162),x70163))) % 197.39/197.42 [7017]~P1(f341(f72(x70171),x70172))+P1(f341(f72(x70171),f341(f341(f126(f889(x70171,a874)),x70172),x70173))) % 197.39/197.42 [7160]~P34(x71601,x71603)+P34(x71601,f341(f341(f126(f889(f888(x71601,x71601),a874)),x71602),x71603)) % 197.39/197.42 [7161]~P34(x71611,x71612)+P34(x71611,f341(f341(f126(f889(f888(x71611,x71611),a874)),x71612),x71613)) % 197.39/197.42 [7271]~P95(x72711)+E(f12(x72711,f341(f176(x72711),f341(f341(f156(x72711),x72712),x72713))),f341(f147(x72711,x72711,f125(x72711),x72712),x72713)) % 197.39/197.42 [7272]~P95(x72721)+E(f13(x72721,f341(f176(x72721),f341(f341(f156(x72721),x72722),x72723))),f341(f147(x72721,x72721,f126(x72721),x72722),x72723)) % 197.39/197.42 [7273]~P101(x72731)+E(f16(x72731,f341(f176(x72731),f341(f341(f156(x72731),x72732),x72733))),f341(f147(x72731,x72731,f246(x72731),x72732),x72733)) % 197.39/197.42 [7274]~P101(x72741)+E(f17(x72741,f341(f176(x72741),f341(f341(f156(x72741),x72742),x72743))),f341(f147(x72741,x72741,f192(x72741),x72742),x72743)) % 197.39/197.42 [7275]~P1(f341(f341(f294(a1),x72751),x72752))+P1(f341(f341(f294(a1),x72751),f341(f341(f91(a1),x72752),f341(f341(f92(a1),x72751),x72753)))) % 197.39/197.42 [7339]~P1(f341(f72(x73391),x73392))+P1(f341(f341(f241(a881),f341(f37(x73391),x73392)),f341(f37(x73391),f341(f341(f318(x73391),x73393),x73392)))) % 197.39/197.42 [7346]E(f341(f341(f125(f889(a881,a874)),f341(f309(a881,x73461),x73462)),f341(f309(a881,x73462),f341(f341(f91(a881),x73462),x73463))),f341(f309(a881,x73461),f341(f341(f91(a881),x73462),x73463)))+~P1(f341(f341(f241(a881),x73461),x73462)) % 197.39/197.42 [7354]P1(f341(f341(f242(a881),x73541),x73542))+~P1(f341(f341(f242(a881),f341(f341(f91(a881),x73541),x73543)),x73542)) % 197.39/197.42 [7357]P1(f341(f341(f241(a881),x73571),x73572))+~P1(f341(f341(f241(a881),f341(f341(f91(a881),x73573),x73571)),x73572)) % 197.39/197.42 [7358]P1(f341(f341(f241(a881),x73581),x73582))+~P1(f341(f341(f241(a881),f341(f341(f91(a881),x73581),x73583)),x73582)) % 197.39/197.42 [7399]~P101(x73991)+E(f14(x73991,f246(x73991),f341(f176(x73991),f341(f341(f156(x73991),x73992),x73993))),f341(f147(x73991,x73991,f246(x73991),x73992),x73993)) % 197.39/197.42 [7400]~P101(x74001)+E(f15(x74001,f192(x74001),f341(f176(x74001),f341(f341(f156(x74001),x74002),x74003))),f341(f147(x74001,x74001,f192(x74001),x74002),x74003)) % 197.39/197.42 [7404]~E(x74042,f193(f889(f888(x74041,x74041),a874)))+P1(f341(f341(f241(f889(f888(x74041,x74041),a874)),x74042),x74043)) % 197.39/197.42 [7500]E(f341(f341(f125(f889(x75001,a874)),x75002),f341(f341(f3(f889(x75001,a874)),x75003),x75002)),x75003)+~P1(f341(f341(f241(f889(x75001,a874)),x75002),x75003)) % 197.39/197.42 [7503]~P1(f341(f341(f242(a881),x75031),f341(f341(f3(a881),x75033),x75032)))+P1(f341(f341(f242(a881),f341(f341(f91(a881),x75031),x75032)),x75033)) % 197.39/197.42 [7504]~P1(f341(f341(f241(a881),x75041),f341(f341(f91(a881),x75043),x75042)))+P1(f341(f341(f241(a881),f341(f341(f3(a881),x75041),x75042)),x75043)) % 197.39/197.42 [7561]E(x75611,f129(x75612))+E(f341(f146(x75612),f341(f341(f341(f186(f883(x75612),f883(x75612)),x75613),f172(x75612)),x75611)),f341(f341(f169(x75612),x75611),f57(a881,x75613,f341(f194(f883(x75612)),x75611)))) % 197.39/197.42 [7570]E(f341(f341(f318(x75701),x75702),f341(f341(f3(f889(x75701,a874)),x75703),f341(f341(f318(x75701),x75702),f193(f889(x75701,a874))))),x75703)+~P1(f341(f341(f344(x75701),x75702),x75703)) % 197.39/197.42 [7731]P1(f341(f341(f242(a881),x77311),f341(f341(f3(a881),x77312),x77313)))+~P1(f341(f341(f242(a881),f341(f341(f91(a881),x77311),x77313)),x77312)) % 197.39/197.42 [7732]P1(f341(f341(f241(a881),x77321),f341(f341(f91(a881),x77322),x77323)))+~P1(f341(f341(f241(a881),f341(f341(f3(a881),x77321),x77323)),x77322)) % 197.39/197.42 [7753]P1(f341(f72(x77531),x77532))+~P1(f341(f72(x77531),f341(f341(f125(f889(x77531,a874)),x77533),x77532))) % 197.39/197.42 [7754]P1(f341(f72(x77541),x77542))+~P1(f341(f72(x77541),f341(f341(f125(f889(x77541,a874)),x77542),x77543))) % 197.39/197.42 [7825]~P41(x78251,x78253)+P1(f341(f341(f344(f888(x78251,x78251)),f341(f341(f257(x78251,x78251),x78252),x78252)),x78253)) % 197.39/197.42 [7876]P1(f341(f341(f294(a1),x78761),x78762))+~P1(f341(f341(f294(a1),x78761),f341(f341(f91(a1),x78762),f341(f341(f92(a1),x78761),x78763)))) % 197.39/197.42 [7959]E(f341(f341(f169(a881),f144(a881,f341(f309(a881,x79591),x79592))),x79593),f341(f341(f91(a881),x79591),x79593))+~P1(f341(f341(f242(a881),f341(f341(f91(a881),x79591),x79593)),x79592)) % 197.39/197.42 [8026]~P1(f341(f341(f199(f341(a26,x80261)),x80262),x80263))+P1(f341(f341(f199(f341(f239(a875),f341(a27,x80261))),x80262),x80263)) % 197.39/197.42 [8032]E(f341(f341(f177(a881),x80321),f144(a881,f341(f309(a881,x80322),x80323))),f144(a881,f341(f309(a881,x80322),f341(f341(f91(a881),x80322),x80321))))+~P1(f341(f341(f241(a881),f341(f341(f91(a881),x80322),x80321)),x80323)) % 197.39/197.42 [8086]~P89(x80861)+E(f341(f341(f251(x80861),x80862),f341(f118(a881),f341(f341(f91(a1),x80863),x80863))),f341(f341(f97(x80861,x80861),f341(f341(f251(x80861),x80862),f341(f118(a881),x80863))),f341(f341(f20(x80861,x80861,x80861),f92(x80861)),f7(x80861)))) % 197.39/197.42 [8290]P1(f341(f341(f199(f341(a26,x82901)),x82902),x82903))+~P1(f341(f341(f199(f341(f239(a875),f341(a27,x82901))),x82902),x82903)) % 197.39/197.42 [8348]E(f341(f341(f137(x83481),f341(f341(f177(x83481),x83482),x83483)),f341(f341(f156(x83481),f341(f341(f169(x83481),x83483),x83482)),f341(f341(f143(x83481),f341(a128,x83482)),x83483))),x83483)+~P1(f341(f341(f242(a881),x83482),f341(f194(f883(x83481)),x83483))) % 197.39/197.42 [8354]P1(f341(f341(f241(f889(x83541,a874)),f329(x83541,x83542)),f329(x83541,x83543)))+~P1(f341(f341(f241(f889(x83541,f889(x83541,a874))),x83543),x83542)) % 197.39/197.42 [8355]~P54(x83551,x83552,x83553)+P54(x83551,x83552,f341(f341(f3(f889(f888(x83551,x83551),a874)),x83553),f315(x83551,f193(f889(f888(x83551,x83551),a874))))) % 197.39/197.42 [8374]P1(f341(f341(f241(f889(x83741,a874)),f330(x83741,x83742)),f330(x83741,x83743)))+~P1(f341(f341(f241(f889(f888(x83741,x83741),a874)),x83743),x83742)) % 197.39/197.42 [8381]~P123(x83811)+P1(f341(f341(f241(x83811),f2(x83811)),f341(f341(f91(x83811),f341(f341(f92(x83811),x83812),x83812)),f341(f341(f92(x83811),x83813),x83813)))) % 197.39/197.42 [8422]P1(f341(f341(f241(f889(x84221,a874)),f341(f291(x84221),x84222)),f341(f291(x84221),x84223)))+~P1(f341(f341(f241(f889(f888(x84221,x84221),a874)),x84222),x84223)) % 197.39/197.42 [8458]~P51(x84581,x84582)+~P1(f341(f341(f344(f888(x84581,x84581)),f341(f341(f257(x84581,x84581),x84583),x84583)),x84582)) % 197.39/197.42 [8460]~P34(x84601,x84602)+~P1(f341(f341(f344(f888(x84601,x84601)),f341(f341(f257(x84601,x84601),x84603),x84603)),x84602)) % 197.39/197.42 [8519]P1(f341(f341(f241(f889(x85191,a874)),f39(f889(x85191,a874),x85192)),f39(f889(x85191,a874),x85193)))+~P1(f341(f341(f241(f889(f889(x85191,a874),a874)),x85192),x85193)) % 197.39/197.42 [8520]P1(f341(f341(f241(f889(x85201,a874)),f40(f889(x85201,a874),x85202)),f40(f889(x85201,a874),x85203)))+~P1(f341(f341(f241(f889(f889(x85201,a874),a874)),x85203),x85202)) % 197.39/197.42 [8577]~P11(x85771,x85773,x85772)+P1(f341(f341(f241(f889(f888(x85771,x85771),a874)),x85772),f341(f341(f259(x85771,x85771),x85773),f341(f18(f889(x85771,a874),x85771),x85773)))) % 197.39/197.42 [8578]~P46(x85781,x85783,x85782)+P1(f341(f341(f241(f889(f888(x85781,x85781),a874)),x85782),f341(f341(f259(x85781,x85781),x85783),f341(f18(f889(x85781,a874),x85781),x85783)))) % 197.39/197.42 [8623]~P81(x86231)+P1(f341(f341(f241(x86231),f341(f341(f3(x86231),f341(f85(x86231),x86232)),f341(f85(x86231),x86233))),f341(f85(x86231),f341(f341(f3(x86231),x86233),x86232)))) % 197.39/197.42 [8624]~P81(x86241)+P1(f341(f341(f241(x86241),f341(f341(f3(x86241),f341(f85(x86241),x86242)),f341(f85(x86241),x86243))),f341(f85(x86241),f341(f341(f3(x86241),x86242),x86243)))) % 197.39/197.42 [8655]P1(f341(f341(f241(f889(f888(x86551,x86551),a874)),f315(x86551,x86552)),f315(x86551,x86553)))+~P1(f341(f341(f241(f889(f888(x86551,x86551),a874)),x86552),x86553)) % 197.39/197.42 [8821]P54(x88211,x88212,x88213)+~P54(x88211,x88212,f341(f341(f3(f889(f888(x88211,x88211),a874)),x88213),f315(x88211,f193(f889(f888(x88211,x88211),a874))))) % 197.39/197.42 [8839]P1(f341(f341(f241(f889(f888(f883(x88391),f883(x88391)),a874)),f162(x88391,x88392)),f162(x88391,x88393)))+~P1(f341(f341(f241(f889(f888(x88391,x88391),a874)),x88392),x88393)) % 197.39/197.42 [8840]P1(f341(f341(f241(f889(f888(f883(x88401),f883(x88401)),a874)),f163(x88401,x88402)),f163(x88401,x88403)))+~P1(f341(f341(f241(f889(f888(x88401,x88401),a874)),x88402),x88403)) % 197.39/197.42 [8867]~P46(x88671,x88673,x88672)+P1(f341(f341(f241(f889(f888(x88671,x88671),a874)),x88672),f341(f341(f296(x88671,x88671,x88671),f341(f293(x88671,x88671),x88672)),x88672))) % 197.39/197.42 [8920]~P1(f341(f142(x89201),x89202))+E(f341(f141(x89201,f341(f341(f9(x89201,f889(x89201,a874),a874),f344(x89201)),f341(f176(x89201),f178(x89201,x89202,x89203)))),x89202),f178(x89201,x89202,x89203)) % 197.39/197.42 [8970]E(x89701,x89702)+~P1(f341(f341(f344(f888(x89703,x89703)),f341(f341(f257(x89703,x89703),x89701),x89702)),f315(x89703,f193(f889(f888(x89703,x89703),a874))))) % 197.39/197.42 [9055]P1(f341(f341(f344(x90551),x90552),f330(x90551,x90553)))+P1(f341(f341(f344(f888(x90551,x90551)),f341(f341(f257(x90551,x90551),f351(x90553,x90552,x90551)),x90552)),x90553)) % 197.39/197.42 [9056]P1(f341(f341(f344(x90561),x90562),f330(x90561,x90563)))+P1(f341(f341(f344(f888(x90561,x90561)),f341(f341(f257(x90561,x90561),f372(x90563,x90562,x90561)),x90562)),x90563)) % 197.39/197.42 [9057]P1(f341(f341(f344(x90571),x90572),f330(x90571,x90573)))+P1(f341(f341(f344(f888(x90571,x90571)),f341(f341(f257(x90571,x90571),f381(x90573,x90572,x90571)),x90572)),x90573)) % 197.39/197.42 [9134]~P1(f341(f341(f344(f883(x91341)),x91343),f166(x91341,x91342)))+P1(f341(f165(x91341,f341(f341(f9(x91341,f889(x91341,a874),a874),f344(x91341)),x91342)),x91343)) % 197.39/197.42 [9159]P1(f341(x91593,x91592))+E(f341(f267(x91591),f341(f341(f20(x91591,a874,a874),f341(f341(f10(a874,f889(a874,a874),x91591),a339),f341(a338,x91592))),x91593)),f193(f889(x91591,a874))) % 197.39/197.42 [9179]~P81(x91791)+P1(f341(f341(f241(x91791),f341(f85(x91791),f341(f341(f3(x91791),f341(f85(x91791),x91792)),f341(f85(x91791),x91793)))),f341(f85(x91791),f341(f341(f3(x91791),x91792),x91793)))) % 197.39/197.42 [9192]~P1(f341(x91923,x91922))+E(f341(f267(x91921),f341(f341(f20(x91921,a874,a874),f341(f341(f10(a874,f889(a874,a874),x91921),a339),f341(a338,x91922))),x91923)),f341(f341(f318(x91921),x91922),f193(f889(x91921,a874)))) % 197.39/197.42 [9200]~P1(f341(f341(f344(f889(x92001,a874)),x92003),f341(f316(x92001),x92002)))+P1(f341(f255(x92001,f341(f341(f9(x92001,f889(x92001,a874),a874),f344(x92001)),x92002)),x92003)) % 197.39/197.42 [9235]P34(x92351,x92352)+P1(f341(f341(f344(f888(x92351,x92351)),f341(f341(f257(x92351,x92351),f341(f452(x92352,x92351),f341(a128,x92353))),f341(f452(x92352,x92351),x92353))),x92352)) % 197.39/197.42 [9364]P1(f341(f341(f344(f883(x93641)),x93642),f166(x93641,x93643)))+~P1(f341(f165(x93641,f341(f341(f9(x93641,f889(x93641,a874),a874),f344(x93641)),x93643)),x93642)) % 197.39/197.42 [9378]P1(f341(f341(f344(f889(x93781,a874)),x93782),f341(f316(x93781),x93783)))+~P1(f341(f255(x93781,f341(f341(f9(x93781,f889(x93781,a874),a874),f344(x93781)),x93783)),x93782)) % 197.39/197.42 [9442]P1(f341(f341(f344(x94421),f341(f280(x94421,x94422),x94423)),f341(f176(x94421),f341(f341(f159(f888(a115,x94421),x94421),f261(a115,x94421)),x94422))))+~P1(f341(f341(f242(a115),x94423),f341(f170(a115),f341(f341(f159(f888(a115,x94421),a115),f256(a115,x94421)),x94422)))) % 197.39/197.42 [9492]P1(f341(f341(f241(f889(f888(f883(x94921),f883(x94921)),a874)),f163(x94921,x94922)),f341(f341(f259(f883(x94921),f883(x94921)),f166(x94921,x94923)),f341(f18(f889(f883(x94921),a874),f883(x94921)),f166(x94921,x94923)))))+~P1(f341(f341(f241(f889(f888(x94921,x94921),a874)),x94922),f341(f341(f259(x94921,x94921),x94923),f341(f18(f889(x94921,a874),x94921),x94923)))) % 197.39/197.42 [9510]P1(f341(f341(f344(x95101),f341(f256(x95101,f888(a115,a115)),f341(f274(x95101,x95102),x95103))),f341(f176(x95101),f341(f341(f159(f888(a115,x95101),x95101),f261(a115,x95101)),x95102))))+~P1(f341(f341(f242(a115),f2(a115)),f341(f170(a115),f341(f341(f159(f888(a115,x95101),a115),f256(a115,x95101)),x95102)))) % 197.39/197.42 [9529]~P1(f341(f341(f241(f889(f888(x95291,x95291),a874)),x95292),f341(f341(f259(x95291,x95291),x95293),f341(f18(f889(x95291,a874),x95291),x95293))))+P1(f341(f341(f241(f889(f888(x95291,x95291),a874)),f341(f341(f296(x95291,x95291,x95291),x95292),f315(x95291,x95292))),f341(f341(f259(x95291,x95291),x95293),f341(f18(f889(x95291,a874),x95291),x95293)))) % 197.39/197.42 [9807]~P34(x98071,x98072)+~P1(f341(f341(f344(f888(x98071,x98071)),f341(f341(f257(x98071,x98071),f341(x98073,f341(a128,f453(x98072,x98071,x98073)))),f341(x98073,f453(x98072,x98071,x98073)))),x98072)) % 197.39/197.42 [9808]~P34(x98081,x98082)+~P1(f341(f341(f344(f888(x98081,x98081)),f341(f341(f257(x98081,x98081),f341(x98083,f341(a128,f465(x98083,x98082,x98081)))),f341(x98083,f465(x98083,x98082,x98081)))),x98082)) % 197.39/197.42 [10102]P1(f341(f341(f241(f889(f888(f889(x101021,a874),f889(x101021,a874)),a874)),f341(f341(f296(f889(x101021,a874),f889(x101021,a874),f889(x101021,a874)),f334(x101021,x101022)),f341(f341(f125(f889(f888(f889(x101021,a874),f889(x101021,a874)),a874)),f334(x101021,x101023)),f341(f341(f318(f888(f889(x101021,a874),f889(x101021,a874))),f341(f341(f257(f889(x101021,a874),f889(x101021,a874)),f193(f889(x101021,a874))),f193(f889(x101021,a874)))),f193(f889(f888(f889(x101021,a874),f889(x101021,a874)),a874)))))),f334(x101021,x101022)))+~P1(f341(f341(f241(f889(f888(x101021,x101021),a874)),f341(f341(f296(x101021,x101021,x101021),x101022),x101023)),x101022)) % 197.39/197.42 [10103]P1(f341(f341(f241(f889(f888(f889(x101031,a874),f889(x101031,a874)),a874)),f341(f341(f296(f889(x101031,a874),f889(x101031,a874),f889(x101031,a874)),f332(x101031,x101032)),f341(f341(f125(f889(f888(f889(x101031,a874),f889(x101031,a874)),a874)),f332(x101031,x101033)),f341(f341(f318(f888(f889(x101031,a874),f889(x101031,a874))),f341(f341(f257(f889(x101031,a874),f889(x101031,a874)),f193(f889(x101031,a874))),f193(f889(x101031,a874)))),f193(f889(f888(f889(x101031,a874),f889(x101031,a874)),a874)))))),f332(x101031,x101032)))+~P1(f341(f341(f241(f889(f888(x101031,x101031),a874)),f341(f341(f296(x101031,x101031,x101031),x101032),x101033)),x101032)) % 197.39/197.42 [7270]~P1(f341(f341(f241(a881),x72702),x72701))+E(f341(f341(f3(a881),f341(a128,f341(f341(f3(a881),x72701),x72702))),x72703),f341(f341(f3(a881),f341(a128,x72701)),f341(f341(f91(a881),x72702),x72703))) % 197.39/197.42 [7310]~P59(x73101)+E(f341(f341(f91(x73101),f57(x73101,x73102,x73103)),f341(f341(f92(x73101),f341(f341(f38(x73101),x73102),x73103)),x73103)),x73102) % 197.39/197.42 [7508]E(f341(f341(f92(a881),f341(f118(a881),x75081)),f341(f341(f92(a881),f341(f118(a881),x75082)),x75083)),f341(f341(f92(a881),f341(f118(a881),f341(f341(f92(a1),x75081),x75082))),x75083))+P1(f341(f341(f242(a1),x75081),a94)) % 197.39/197.42 [7968]~P1(f341(f341(f241(a881),x79683),x79682))+P1(f341(f341(f241(a881),x79681),f341(f341(f3(a881),f341(f341(f91(a881),x79682),x79681)),x79683))) % 197.39/197.42 [8180]~P1(f341(f341(f241(a881),x81801),x81802))+E(f341(f341(f137(a881),f144(a881,f341(f309(a881,x81801),x81802))),f144(a881,f341(f309(a881,x81802),f341(f341(f91(a881),x81802),x81803)))),f144(a881,f341(f309(a881,x81801),f341(f341(f91(a881),x81802),x81803)))) % 197.39/197.42 [8431]~P1(f341(f72(x84311),x84312))+E(f341(a128,f341(f37(x84311),f341(f341(f3(f889(x84311,a874)),x84312),f341(f341(f318(x84311),x84313),f193(f889(x84311,a874)))))),f341(f37(x84311),f341(f341(f318(x84311),x84313),x84312))) % 197.39/197.42 [8476]~P1(f341(f72(x84761),x84762))+E(f341(f341(f91(a881),f89(a881)),f341(f37(x84761),f341(f341(f3(f889(x84761,a874)),x84762),f341(f341(f318(x84761),x84763),f193(f889(x84761,a874)))))),f341(f37(x84761),f341(f341(f318(x84761),x84763),x84762))) % 197.39/197.42 [8662]E(f341(f341(f3(a881),f341(f37(x86621),x86622)),f341(f37(x86621),f341(f341(f126(f889(x86621,a874)),x86622),x86623))),f341(f37(x86621),f341(f341(f3(f889(x86621,a874)),x86622),x86623)))+~P1(f341(f72(x86621),f341(f341(f126(f889(x86621,a874)),x86622),x86623))) % 197.39/197.42 [8916]~P9(f341(x89162,f586(x89162,x89163,x89161)))+E(f341(f116(a1),f341(f341(f8(x89161,a881),f341(f341(f10(a1,a881,x89161),a119),x89162)),x89163)),f341(f341(f8(x89161,a1),x89162),x89163)) % 197.39/197.42 [8917]~P9(f341(x89172,f629(x89172,x89173,x89171)))+E(f341(f116(a1),f341(f341(f11(x89171,a881),f341(f341(f10(a1,a881,x89171),a119),x89172)),x89173)),f341(f341(f11(x89171,a1),x89172),x89173)) % 197.39/197.42 [8950]~P1(f341(f72(x89501),x89503))+P1(f341(f341(f241(a881),f341(f341(f3(a881),f341(f37(x89501),x89502)),f341(f37(x89501),x89503))),f341(f37(x89501),f341(f341(f3(f889(x89501,a874)),x89502),x89503)))) % 197.39/197.42 [8979]P1(f341(f341(f344(x89791),f586(x89792,x89793,x89791)),x89793))+E(f341(f116(a1),f341(f341(f8(x89791,a881),f341(f341(f10(a1,a881,x89791),a119),x89792)),x89793)),f341(f341(f8(x89791,a1),x89792),x89793)) % 197.39/197.42 [8980]P1(f341(f341(f344(x89801),f629(x89802,x89803,x89801)),x89803))+E(f341(f116(a1),f341(f341(f11(x89801,a881),f341(f341(f10(a1,a881,x89801),a119),x89802)),x89803)),f341(f341(f11(x89801,a1),x89802),x89803)) % 197.39/197.42 [9043]E(f96(x90431,f341(f341(f9(x90431,f889(x90431,a874),a874),f344(x90431)),f341(f341(f3(f889(x90431,a874)),x90432),f341(f341(f318(x90431),x90433),f193(f889(x90431,a874)))))),f254(x90431,x90433,x90432))+P1(f341(f341(f241(f889(x90431,a874)),x90432),f341(f341(f318(x90431),x90433),f193(f889(x90431,a874))))) % 197.39/197.42 [9379]E(f341(f341(f159(f883(x93791),x93791),f341(f341(f9(f883(x93791),a881,x93791),f169(x93791)),x93792)),f341(f141(f883(x93791),f341(f341(f10(a881,a874,f883(x93791)),f341(f242(a881),x93792)),f194(f883(x93791)))),x93793)),f341(f341(f169(f883(x93791)),f182(x93791,x93793)),x93792))+~P1(f341(f341(f242(a881),x93792),f341(f194(f883(f883(x93791))),f182(x93791,x93793)))) % 197.39/197.42 [9462]E(f341(f141(x94621,x94622),x94623),f180(x94621,x94622,x94623))+P1(f341(f341(f344(x94621),f677(x94623,x94622,x94621)),f341(f176(x94621),f341(f341(f143(x94621),f341(f194(f883(x94621)),f180(x94621,x94622,x94623))),x94623)))) % 197.39/197.42 [9596]E(f341(f341(f143(x95961),f341(f194(f883(x95961)),f180(x95961,x95962,x95963))),x95963),f129(x95961))+~P1(f341(x95962,f341(f146(x95961),f341(f341(f143(x95961),f341(f194(f883(x95961)),f180(x95961,x95962,x95963))),x95963)))) % 197.39/197.42 [9685]~P1(f341(f341(f344(f888(x96851,x96851)),x96852),f315(x96851,x96853)))+P1(f341(f341(f344(f888(x96851,x96851)),x96852),f341(f341(f42(a881,f889(f888(x96851,x96851),a874)),f249(f889(a881,a874))),f341(f341(f9(a881,f889(f888(x96851,x96851),a874),f889(f888(x96851,x96851),a874)),f186(f888(x96851,x96851),a874)),x96853)))) % 197.39/197.42 [9740]~P1(f341(f341(f241(f889(x97401,a874)),f341(f341(f42(a881,f889(x97401,a874)),f341(f309(a881,f2(a881)),f738(x97403,x97402,x97401))),x97402)),x97403))+P1(f341(f341(f241(f889(x97401,a874)),f341(f341(f42(a881,f889(x97401,a874)),f249(f889(a881,a874))),x97402)),x97403)) % 197.39/197.42 [9784]~P1(f341(f341(f242(a1),f2(a1)),x97843))+P1(f341(f341(f242(a1),x97841),f341(f341(f91(a1),x97842),f341(f341(f92(a1),f341(f341(f91(a1),f341(f85(a1),f341(f341(f3(a1),x97842),x97841))),f89(a1))),x97843)))) % 197.39/197.42 [9796]~P34(x97961,f341(f341(f125(f889(f888(x97961,x97961),a874)),x97962),x97963))+P34(x97961,f341(f341(f125(f889(f888(x97961,x97961),a874)),f341(f341(f125(f889(f888(x97961,x97961),a874)),f341(f341(f296(x97961,x97961,x97961),x97962),x97962)),f341(f341(f296(x97961,x97961,x97961),x97963),x97962))),x97963)) % 197.39/197.42 [9869]P34(x98691,f341(f341(f125(f889(f888(x98691,x98691),a874)),x98692),x98693))+~P34(x98691,f341(f341(f125(f889(f888(x98691,x98691),a874)),f341(f341(f125(f889(f888(x98691,x98691),a874)),f341(f341(f296(x98691,x98691,x98691),x98692),x98692)),f341(f341(f296(x98691,x98691,x98691),x98693),x98692))),x98693)) % 197.39/197.42 [9467]~P113(x94671)+E(f341(f117(x94671),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x94672),x94673)),f193(f889(f888(a881,a881),a874)))))),f341(f341(f3(x94671),f341(f116(x94671),x94672)),f341(f116(x94671),x94673))) % 197.39/197.42 [9548]P1(f341(x95483,x95482))+E(f341(f267(x95481),f341(f341(f20(x95481,a874,a874),f341(f341(f10(a874,f889(a874,a874),x95481),a339),f341(f341(f9(x95481,x95481,a874),a338),x95482))),x95483)),f193(f889(x95481,a874))) % 197.39/197.42 [9550]~P1(f341(x95503,x95502))+E(f341(f267(x95501),f341(f341(f20(x95501,a874,a874),f341(f341(f10(a874,f889(a874,a874),x95501),a339),f341(f341(f9(x95501,x95501,a874),a338),x95502))),x95503)),f341(f341(f318(x95501),x95502),f193(f889(x95501,a874)))) % 197.39/197.42 [9766]E(x97661,x97662)+P1(f341(f341(f250(x97663,x97663,f341(f341(f10(f889(x97663,a874),f889(x97663,a874),x97663),f341(f10(a874,a874,x97663),a336)),a338)),x97661),x97662)) % 197.39/197.42 [9852]~E(x98521,x98522)+~P1(f341(f341(f250(x98523,x98523,f341(f341(f10(f889(x98523,a874),f889(x98523,a874),x98523),f341(f10(a874,a874,x98523),a336)),a338)),x98521),x98522)) % 197.39/197.42 [9889]~P1(f341(f341(f242(a1),f2(a1)),x98893))+P1(f341(f341(f242(a1),f341(f341(f3(a1),x98891),f341(f341(f92(a1),f341(f341(f91(a1),f341(f85(a1),f341(f341(f3(a1),x98891),x98892))),f89(a1))),x98893))),x98892)) % 197.39/197.42 [10193]~P1(f341(f341(f344(x101931),x101933),f330(x101931,x101932)))+P1(f341(f329(x101931,f341(f341(f9(x101931,f889(f888(x101931,x101931),a874),f889(x101931,a874)),f341(f341(f10(f889(x101931,f889(f889(f888(x101931,x101931),a874),a874)),f889(f889(f888(x101931,x101931),a874),f889(x101931,a874)),x101931),f9(x101931,f889(f888(x101931,x101931),a874),a874)),f341(f341(f10(f889(x101931,f888(x101931,x101931)),f889(x101931,f889(f889(f888(x101931,x101931),a874),a874)),x101931),f341(f10(f888(x101931,x101931),f889(f889(f888(x101931,x101931),a874),a874),x101931),f344(f888(x101931,x101931)))),f257(x101931,x101931)))),x101932)),x101933)) % 197.39/197.42 [10202]P1(f341(f341(f344(x102021),x102022),f330(x102021,x102023)))+~P1(f341(f329(x102021,f341(f341(f9(x102021,f889(f888(x102021,x102021),a874),f889(x102021,a874)),f341(f341(f10(f889(x102021,f889(f889(f888(x102021,x102021),a874),a874)),f889(f889(f888(x102021,x102021),a874),f889(x102021,a874)),x102021),f9(x102021,f889(f888(x102021,x102021),a874),a874)),f341(f341(f10(f889(x102021,f888(x102021,x102021)),f889(x102021,f889(f889(f888(x102021,x102021),a874),a874)),x102021),f341(f10(f888(x102021,x102021),f889(f889(f888(x102021,x102021),a874),a874),x102021),f344(f888(x102021,x102021)))),f257(x102021,x102021)))),x102023)),x102022)) % 197.39/197.42 [9738]~P1(f341(f72(x97381),f341(f267(x97381),x97383)))+P1(f341(f72(x97381),f341(f267(x97381),f341(f341(f20(x97381,a874,a874),f341(f341(f10(a874,f889(a874,a874),x97381),a339),x97382)),x97383)))) % 197.39/197.42 [9739]~P1(f341(f72(x97391),f341(f267(x97391),x97392)))+P1(f341(f72(x97391),f341(f267(x97391),f341(f341(f20(x97391,a874,a874),f341(f341(f10(a874,f889(a874,a874),x97391),a339),x97392)),x97393)))) % 197.39/197.42 [9824]P1(f341(f72(x98241),f341(f267(x98241),x98242)))+~P1(f341(f72(x98241),f341(f267(x98241),f341(f341(f20(x98241,a874,a874),f341(f341(f10(a874,f889(a874,a874),x98241),a340),x98243)),x98242)))) % 197.39/197.42 [9825]P1(f341(f72(x98251),f341(f267(x98251),x98252)))+~P1(f341(f72(x98251),f341(f267(x98251),f341(f341(f20(x98251,a874,a874),f341(f341(f10(a874,f889(a874,a874),x98251),a340),x98252)),x98253)))) % 197.39/197.42 [10169]~P1(f341(f72(x101691),x101692))+P1(f341(f72(f883(x101691)),f341(f267(f883(x101691)),f341(f341(f20(f883(x101691),a874,a874),f341(f341(f10(a874,f889(a874,a874),f883(x101691)),a339),f341(f341(f9(f883(x101691),f889(x101691,a874),a874),f341(f341(f10(f889(x101691,a874),f889(f889(x101691,a874),a874),f883(x101691)),f241(f889(x101691,a874))),f176(x101691))),x101692))),f341(f341(f9(f883(x101691),a881,a874),f341(f341(f10(a881,f889(a881,a874),f883(x101691)),a338),f194(f883(x101691)))),x101693))))) % 197.39/197.42 [10170]~P1(f341(f72(x101701),x101702))+P1(f341(f72(f883(x101701)),f341(f267(f883(x101701)),f341(f341(f20(f883(x101701),a874,a874),f341(f341(f10(a874,f889(a874,a874),f883(x101701)),a339),f341(f341(f9(f883(x101701),f889(x101701,a874),a874),f341(f341(f10(f889(x101701,a874),f889(f889(x101701,a874),a874),f883(x101701)),f241(f889(x101701,a874))),f176(x101701))),x101702))),f341(f341(f9(f883(x101701),a881,a874),f341(f341(f10(a881,f889(a881,a874),f883(x101701)),f241(a881)),f194(f883(x101701)))),x101703))))) % 197.39/197.42 [9841]~P108(x98411)+E(f341(f341(f251(x98411),x98412),f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x98413)),f341(f341(f92(x98411),f341(f341(f251(x98411),x98412),x98413)),f341(f341(f251(x98411),x98412),x98413))) % 197.39/197.42 [9872]~P77(x98721)+E(f341(f341(f251(x98721),f341(f341(f251(x98721),x98722),x98723)),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(f341(f251(x98721),x98722),f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x98723))) % 197.39/197.42 [9928]~P113(x99281)+E(f341(f341(f251(x99281),f341(f90(x99281),x99282)),f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x99283)),f341(f341(f251(x99281),x99282),f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x99283))) % 197.39/197.42 [10108]~P114(x101081)+P1(f341(f341(f241(x101081),f2(x101081)),f341(f341(f91(x101081),f341(f341(f251(x101081),x101082),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x101081),x101083),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))))) % 197.39/197.42 [9938]~P108(x99381)+E(f341(f341(f251(x99381),x99382),f341(a128,f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x99383))),f341(f341(f92(x99381),x99382),f341(f341(f92(x99381),f341(f341(f251(x99381),x99382),x99383)),f341(f341(f251(x99381),x99382),x99383)))) % 197.39/197.42 [9986]~P77(x99861)+E(f341(f341(f92(x99861),x99862),f341(f341(f251(x99861),f341(f341(f251(x99861),x99862),x99863)),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x99861),x99862),f341(a128,f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x99863)))) % 197.39/197.42 [10051]~P114(x100511)+P1(f341(f341(f241(x100511),f2(x100511)),f341(f341(f251(x100511),x100512),f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x100513)))) % 197.39/197.42 [10149]~P89(x101491)+E(f341(f341(f91(x101491),f341(f341(f91(x101491),f341(f341(f251(x101491),x101492),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x101491),x101493),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))),f341(f341(f92(x101491),f341(f341(f92(x101491),f341(f118(x101491),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x101492)),x101493)),f341(f341(f251(x101491),f341(f341(f91(x101491),x101492),x101493)),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))) % 197.39/197.42 [10150]~P89(x101501)+E(f341(f341(f3(x101501),f341(f341(f91(x101501),f341(f341(f251(x101501),x101502),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x101501),x101503),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))),f341(f341(f92(x101501),f341(f341(f92(x101501),f341(f118(x101501),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x101502)),x101503)),f341(f341(f251(x101501),f341(f341(f3(x101501),x101502),x101503)),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))) % 197.39/197.42 [10251]~P27(x102511,x102512,x102513)+P1(f109(x102511,a874,f341(f341(f10(f889(a875,f889(f889(x102511,f889(a876,a874)),f889(x102511,a874))),f889(a875,f889(f889(x102511,f889(a876,a874)),a874)),f889(x102511,f889(a876,a874))),f341(f10(f889(f889(x102511,f889(a876,a874)),f889(x102511,a874)),f889(f889(x102511,f889(a876,a874)),a874),a875),f341(f10(f889(x102511,a874),a874,f889(x102511,f889(a876,a874))),f99(x102511)))),f341(f341(f10(f889(a875,f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874)))),f889(a875,f889(f889(x102511,f889(a876,a874)),f889(x102511,a874))),f889(x102511,f889(a876,a874))),f341(f10(f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874))),f889(f889(x102511,f889(a876,a874)),f889(x102511,a874)),a875),f341(f10(f889(x102511,f889(a876,a874)),f889(x102511,a874),f889(x102511,f889(a876,a874))),f341(f10(f889(a876,a874),a874,x102511),f99(a876))))),f341(f341(f9(f889(x102511,f889(a876,a874)),f889(a875,f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874)))),f889(a875,f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874))))),f341(f341(f10(f889(f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874))),f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874)))),f889(f889(a875,f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874)))),f889(a875,f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874))))),f889(x102511,f889(a876,a874))),f10(f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874))),f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874))),a875)),f341(f341(f10(f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874))),f889(f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874))),f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874)))),f889(x102511,f889(a876,a874))),f10(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874)))),f341(f341(f10(f889(x102511,f889(f889(a876,a874),f889(a876,a874))),f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874))),f889(x102511,f889(a876,a874))),f20(x102511,f889(a876,a874),f889(a876,a874))),f341(f341(f10(f889(x102511,f889(a876,f889(a874,a874))),f889(x102511,f889(f889(a876,a874),f889(a876,a874))),f889(x102511,f889(a876,a874))),f341(f10(f889(a876,f889(a874,a874)),f889(f889(a876,a874),f889(a876,a874)),x102511),f20(a876,a874,a874))),f341(f10(f889(a876,a874),f889(a876,f889(a874,a874)),x102511),f341(f10(a874,f889(a874,a874),a876),a345))))))),f341(f341(f10(f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,f889(a876,a874)))),f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874))),a875),f341(f10(f889(x102511,f889(a876,f889(a876,a874))),f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,a874))),f341(f10(f889(a876,f889(a876,a874)),f889(a876,a874),x102511),f341(f10(f889(a876,a874),a874,a876),f99(a876))))),f341(f341(f10(f889(f889(a876,a874),f889(a876,f889(a876,a874))),f889(f889(x102511,f889(a876,a874)),f889(x102511,f889(a876,f889(a876,a874)))),a875),f10(f889(a876,a874),f889(a876,f889(a876,a874)),x102511)),f341(f341(f10(f889(a876,f889(f889(a876,a874),f889(a876,a874))),f889(f889(a876,a874),f889(a876,f889(a876,a874))),a875),f9(a876,f889(a876,a874),f889(a876,a874))),f341(f341(f10(f889(a876,f889(a876,f889(a874,a874))),f889(a876,f889(f889(a876,a874),f889(a876,a874))),a875),f341(f10(f889(a876,f889(a874,a874)),f889(f889(a876,a874),f889(a876,a874)),a876),f20(a876,a874,a874))),f341(f341(f10(f889(a876,f889(a876,a874)),f889(a876,f889(a876,f889(a874,a874))),a875),f341(f10(f889(a876,a874),f889(a876,f889(a874,a874)),a876),f341(f10(a874,f889(a874,a874),a876),a345))),f341(f341(f9(a875,a881,f889(a876,f889(a876,a874))),f341(f341(f10(f889(a876,f889(a881,f889(a876,a874))),f889(a881,f889(a876,f889(a876,a874))),a875),f9(a876,a881,f889(a876,a874))),a201)),x102512))))))))),x102513)) % 197.39/197.42 [10253]P27(x102531,x102532,x102533)+~P1(f109(x102531,a874,f341(f341(f10(f889(a875,f889(f889(x102531,f889(a876,a874)),f889(x102531,a874))),f889(a875,f889(f889(x102531,f889(a876,a874)),a874)),f889(x102531,f889(a876,a874))),f341(f10(f889(f889(x102531,f889(a876,a874)),f889(x102531,a874)),f889(f889(x102531,f889(a876,a874)),a874),a875),f341(f10(f889(x102531,a874),a874,f889(x102531,f889(a876,a874))),f99(x102531)))),f341(f341(f10(f889(a875,f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874)))),f889(a875,f889(f889(x102531,f889(a876,a874)),f889(x102531,a874))),f889(x102531,f889(a876,a874))),f341(f10(f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874))),f889(f889(x102531,f889(a876,a874)),f889(x102531,a874)),a875),f341(f10(f889(x102531,f889(a876,a874)),f889(x102531,a874),f889(x102531,f889(a876,a874))),f341(f10(f889(a876,a874),a874,x102531),f99(a876))))),f341(f341(f9(f889(x102531,f889(a876,a874)),f889(a875,f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874)))),f889(a875,f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874))))),f341(f341(f10(f889(f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874))),f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874)))),f889(f889(a875,f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874)))),f889(a875,f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874))))),f889(x102531,f889(a876,a874))),f10(f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874))),f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874))),a875)),f341(f341(f10(f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874))),f889(f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874))),f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874)))),f889(x102531,f889(a876,a874))),f10(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874)))),f341(f341(f10(f889(x102531,f889(f889(a876,a874),f889(a876,a874))),f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874))),f889(x102531,f889(a876,a874))),f20(x102531,f889(a876,a874),f889(a876,a874))),f341(f341(f10(f889(x102531,f889(a876,f889(a874,a874))),f889(x102531,f889(f889(a876,a874),f889(a876,a874))),f889(x102531,f889(a876,a874))),f341(f10(f889(a876,f889(a874,a874)),f889(f889(a876,a874),f889(a876,a874)),x102531),f20(a876,a874,a874))),f341(f10(f889(a876,a874),f889(a876,f889(a874,a874)),x102531),f341(f10(a874,f889(a874,a874),a876),a345))))))),f341(f341(f10(f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,f889(a876,a874)))),f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874))),a875),f341(f10(f889(x102531,f889(a876,f889(a876,a874))),f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,a874))),f341(f10(f889(a876,f889(a876,a874)),f889(a876,a874),x102531),f341(f10(f889(a876,a874),a874,a876),f99(a876))))),f341(f341(f10(f889(f889(a876,a874),f889(a876,f889(a876,a874))),f889(f889(x102531,f889(a876,a874)),f889(x102531,f889(a876,f889(a876,a874)))),a875),f10(f889(a876,a874),f889(a876,f889(a876,a874)),x102531)),f341(f341(f10(f889(a876,f889(f889(a876,a874),f889(a876,a874))),f889(f889(a876,a874),f889(a876,f889(a876,a874))),a875),f9(a876,f889(a876,a874),f889(a876,a874))),f341(f341(f10(f889(a876,f889(a876,f889(a874,a874))),f889(a876,f889(f889(a876,a874),f889(a876,a874))),a875),f341(f10(f889(a876,f889(a874,a874)),f889(f889(a876,a874),f889(a876,a874)),a876),f20(a876,a874,a874))),f341(f341(f10(f889(a876,f889(a876,a874)),f889(a876,f889(a876,f889(a874,a874))),a875),f341(f10(f889(a876,a874),f889(a876,f889(a874,a874)),a876),f341(f10(a874,f889(a874,a874),a876),a345))),f341(f341(f9(a875,a881,f889(a876,f889(a876,a874))),f341(f341(f10(f889(a876,f889(a881,f889(a876,a874))),f889(a881,f889(a876,f889(a876,a874))),a875),f9(a876,a881,f889(a876,a874))),a201)),x102532))))))))),x102533)) % 197.39/197.42 [4682]E(x46821,x46822)+~E(f33(x46823,x46821),f33(x46824,x46822)) % 197.39/197.42 [4683]E(x46831,x46832)+~E(f33(x46831,x46833),f33(x46832,x46834)) % 197.39/197.42 [4684]E(x46841,x46842)+~E(f32(x46843,x46841),f32(x46844,x46842)) % 197.39/197.42 [4685]E(x46851,x46852)+~E(f32(x46851,x46853),f32(x46852,x46854)) % 197.39/197.42 [5244]E(x52441,x52442)+~E(f52(x52443,x52444,x52441),f52(x52443,x52444,x52442)) % 197.39/197.42 [7771]P18(x77711,x77712,x77713,x77714)+~E(f686(x77714,x77713,x77712,x77711),f688(x77714,x77713,x77712,x77711)) % 197.39/197.42 [8064]P32(x80641,x80642,x80643,x80644,f129(x80642))+~E(x80644,f129(x80641)) % 197.39/197.42 [8065]P32(x80651,x80652,x80653,f129(x80651),x80654)+~E(x80654,f129(x80652)) % 197.39/197.42 [8614]~P32(x86142,x86143,x86144,x86141,f129(x86143))+E(x86141,f129(x86142)) % 197.39/197.42 [8615]~P32(x86153,x86152,x86154,f129(x86153),x86151)+E(x86151,f129(x86152)) % 197.39/197.42 [5037]~P21(x50373,x50371,x50374)+E(f341(f341(x50371,x50372),x50372),x50372) % 197.39/197.42 [5040]E(x50401,x50402)+~E(f341(f323(x50403,x50404),x50401),f341(f323(x50403,x50404),x50402)) % 197.39/197.42 [5042]E(x50421,x50422)+~E(f341(f319(x50423,x50424),x50421),f341(f319(x50423,x50424),x50422)) % 197.39/197.42 [5043]E(x50431,x50432)+~E(f341(f47(x50433,x50434),x50431),f341(f47(x50433,x50434),x50432)) % 197.39/197.42 [5045]E(x50451,x50452)+~E(f341(f49(x50453,x50454),x50451),f341(f49(x50453,x50454),x50452)) % 197.39/197.42 [5046]E(x50461,x50462)+~E(f341(f48(x50463,x50464),x50461),f341(f48(x50463,x50464),x50462)) % 197.39/197.42 [5772]~P10(x57721,x57723)+E(f278(x57721,x57722,f277(x57721,x57723),x57724),x57724) % 197.39/197.42 [5884]~P101(x58842)+E(f341(f341(f154(x58841,x58842,x58843),x58844),f129(x58841)),f341(f341(f156(x58841),x58844),f129(x58841))) % 197.39/197.42 [6236]~E(x62361,f193(f889(x62362,a874)))+~P1(f341(f73(x62362,x62363,x62361),x62364)) % 197.39/197.42 [6257]~P57(x62571,x62573,x62574,x62572)+P1(f341(f72(x62571),x62572)) % 197.39/197.42 [6259]~P57(x62591,x62593,x62592,x62594)+P1(f341(f72(x62591),x62592)) % 197.39/197.42 [6268]~P57(x62682,x62683,x62684,x62681)+~E(x62681,f193(f889(x62682,a874))) % 197.39/197.42 [6301]~P105(x63011)+E(f341(f341(f126(f889(x63011,a874)),f341(f309(x63011,x63012),x63013)),f310(x63011,x63013,x63014)),f193(f889(x63011,a874))) % 197.39/197.42 [6332]~P1(f341(f341(x63323,x63324),x63322))+P1(f341(f341(f344(x63321),x63322),f302(x63321,x63323,x63324))) % 197.39/197.42 [6333]~P1(f341(f341(x63333,x63334),x63332))+P1(f341(f341(f344(x63331),x63332),f301(x63331,x63333,x63334))) % 197.39/197.42 [6334]~P1(f341(f341(x63343,x63342),x63344))+P1(f341(f341(f344(x63341),x63342),f305(x63341,x63343,x63344))) % 197.39/197.42 [6335]~P1(f341(f341(x63353,x63352),x63354))+P1(f341(f341(f344(x63351),x63352),f303(x63351,x63353,x63354))) % 197.39/197.42 [6490]~P105(x64901)+E(f341(f341(f126(f889(x64901,a874)),f313(x64901,x64902,x64903)),f310(x64901,x64903,x64904)),f193(f889(x64901,a874))) % 197.39/197.42 [6491]~P105(x64911)+E(f341(f341(f126(f889(x64911,a874)),f312(x64911,x64912,x64913)),f313(x64911,x64913,x64914)),f193(f889(x64911,a874))) % 197.39/197.42 [6492]~P105(x64921)+E(f341(f341(f126(f889(x64921,a874)),f312(x64921,x64922,x64923)),f312(x64921,x64923,x64924)),f193(f889(x64921,a874))) % 197.39/197.42 [6493]~P105(x64931)+E(f341(f341(f126(f889(x64931,a874)),f310(x64931,x64932,x64933)),f313(x64931,x64933,x64934)),f193(f889(x64931,a874))) % 197.39/197.42 [6494]~P105(x64941)+E(f341(f341(f126(f889(x64941,a874)),f310(x64941,x64942,x64943)),f312(x64941,x64943,x64944)),f193(f889(x64941,a874))) % 197.39/197.42 [6560]~P50(x65603,x65604,x65601,x65602)+P1(f341(f341(x65601,x65602),f434(x65602,x65601))) % 197.39/197.42 [6615]~P101(x66152)+E(f341(f176(x66151),f153(x66151,x66152,x66153,x66154)),f341(f176(x66151),x66154)) % 197.39/197.42 [6670]~P2(x66701)+E(f195(x66701,x66702,f341(a128,x66703),x66704),f195(x66701,x66702,x66703,f341(x66702,x66704))) % 197.39/197.42 [6729]~P1(f341(f341(f344(x67294),x67293),f302(x67294,x67291,x67292)))+P1(f341(f341(x67291,x67292),x67293)) % 197.39/197.42 [6730]~P1(f341(f341(f344(x67304),x67303),f301(x67304,x67301,x67302)))+P1(f341(f341(x67301,x67302),x67303)) % 197.39/197.42 [6731]~P1(f341(f341(f344(x67314),x67312),f305(x67314,x67311,x67313)))+P1(f341(f341(x67311,x67312),x67313)) % 197.39/197.42 [6732]~P1(f341(f341(f344(x67324),x67322),f303(x67324,x67321,x67323)))+P1(f341(f341(x67321,x67322),x67323)) % 197.39/197.42 [6809]E(f341(f37(f887(x68091,x68092)),f324(x68091,x68092,x68093,x68094)),f2(a881))+P1(f341(f72(x68092),x68094)) % 197.39/197.42 [6810]E(f341(f37(f887(x68101,x68102)),f324(x68101,x68102,x68103,x68104)),f2(a881))+P1(f341(f72(x68101),x68103)) % 197.39/197.42 [7258]E(f287(x72581,x72582,x72583,x72584),f341(f257(f889(a115,f889(a874,f885(f882(x72581)))),f888(a115,a115)),f44(x72581)))+~P1(f341(f341(f241(a115),x72583),f2(a115))) % 197.39/197.42 [7808]~P1(f341(x78081,x78084))+P1(f341(x78081,f107(x78082,a881,x78083,x78081))) % 197.39/197.42 [7891]~E(x78912,x78913)+P1(f341(f341(f344(f888(x78911,x78911)),f341(f341(f257(x78911,x78911),x78912),x78913)),f315(x78911,x78914))) % 197.39/197.42 [7917]~P18(x79171,x79172,x79173,f249(f889(x79171,a874)))+E(f341(f88(x79171,x79172,f249(f889(x79171,a874)),x79173),f341(x79173,x79174)),x79174) % 197.39/197.42 [8010]~P1(f341(f341(f344(f883(x80101)),f341(f341(f137(x80101),x80104),x80102)),f166(x80101,x80103)))+P1(f341(f341(f344(f883(x80101)),x80102),f166(x80101,x80103))) % 197.39/197.42 [8011]~P1(f341(f341(f344(f883(x80111)),f341(f341(f137(x80111),x80112),x80114)),f166(x80111,x80113)))+P1(f341(f341(f344(f883(x80111)),x80112),f166(x80111,x80113))) % 197.39/197.42 [8012]~P1(f341(f341(f344(f883(x80121)),f341(f341(f156(x80121),x80124),x80122)),f166(x80121,x80123)))+P1(f341(f341(f344(f883(x80121)),x80122),f166(x80121,x80123))) % 197.39/197.42 [8028]~P101(x80281)+P16(x80281,f341(f341(f159(x80282,x80281),x80283),f153(x80282,x80281,x80283,x80284))) % 197.39/197.42 [8131]P18(x81314,x81313,x81311,x81312)+E(f341(x81311,f686(x81312,x81311,x81313,x81314)),f341(x81311,f688(x81312,x81311,x81313,x81314))) % 197.39/197.42 [8372]P34(f888(x83722,x83724),f290(x83722,x83724,x83721,x83723))+P1(f341(x83721,f456(x83722,x83723,x83724,x83721))) % 197.39/197.42 [8499]E(x84991,x84992)+~P1(f341(f341(f344(f888(x84993,x84993)),f341(f341(f257(x84993,x84993),x84991),x84992)),f271(x84993,x84994))) % 197.39/197.42 [8534]~E(f341(x85341,f384(x85343,x85342,x85344,x85341)),f341(f188(x85344,x85342,x85343),f384(x85343,x85342,x85344,x85341)))+E(f341(x85341,f2(a881)),x85342) % 197.39/197.42 [8569]~P1(f341(f72(f887(x85693,x85691)),f324(x85693,x85691,x85694,x85692)))+P1(f341(f72(x85691),x85692)) % 197.39/197.42 [8570]~P1(f341(f72(f887(x85701,x85703)),f324(x85701,x85703,x85702,x85704)))+P1(f341(f72(x85701),x85702)) % 197.39/197.42 [8583]P14(x85831,x85832,x85833,x85834)+~E(f341(x85834,f421(x85832,x85834,x85833,x85831)),f341(x85834,f422(x85832,x85834,x85833,x85831))) % 197.39/197.42 [8753]P34(f888(x87531,x87532),f290(x87531,x87532,x87533,x87534))+~P34(x87532,f341(x87534,f456(x87531,x87534,x87532,x87533))) % 197.39/197.42 [9279]P1(f341(x92791,x92792))+P1(f341(f341(f344(f888(f889(a881,f887(x92793,a881)),f887(x92794,a881))),f398(x92792,x92791,x92794,x92793)),f51(x92793,x92794))) % 197.39/197.42 [9311]E(f341(f341(f164(x93111,x93112),f506(x93113,x93114,x93112,x93111)),f507(x93113,x93114,x93112,x93111)),x93114)+~P1(f341(f341(f344(f888(f883(x93111),f883(x93111))),f341(f341(f257(f883(x93111),f883(x93111)),x93112),x93114)),f162(x93111,x93113))) % 197.39/197.42 [9312]~P1(f341(x93123,x93124))+P1(f341(f341(f241(a881),f341(x93121,f107(x93122,a881,x93121,x93123))),f341(x93121,x93124))) % 197.39/197.42 [9317]~P1(f341(f341(f344(f888(f883(x93171),f883(x93171))),f341(f341(f257(f883(x93171),f883(x93171)),x93172),x93173)),f150(x93171,x93174)))+P1(f341(f341(f344(f888(f883(x93171),f883(x93171))),f341(f341(f257(f883(x93171),f883(x93171)),x93172),x93173)),f152(x93171,x93174))) % 197.39/197.42 [10075]P14(x100751,x100752,x100753,x100754)+~P1(f341(f341(f262(x100751,x100751,a874),f341(f341(f9(x100751,f889(x100751,x100752),f889(x100751,a874)),f341(f341(f10(f889(x100752,a874),f889(f889(x100751,x100752),f889(x100751,a874)),x100751),f10(x100752,a874,x100751)),f341(f341(f10(x100752,f889(x100752,a874),x100751),a338),x100754))),x100754)),f368(x100754,x100753,x100752,x100751))) % 197.39/197.42 [10095]~P1(f341(f341(f344(f888(f889(a881,f887(x100951,a881)),f887(x100952,a881))),x100954),f51(x100951,x100952)))+P1(f341(f341(f344(f888(f889(a881,f887(x100951,a881)),f887(x100952,a881))),f341(f263(f889(a881,f887(x100951,a881)),f889(a881,f887(x100951,a881)),f887(x100952,a881),f887(x100952,a881),f341(f187(f887(x100951,a881)),x100953),f34(f887(x100952,a881))),x100954)),f51(x100951,x100952))) % 197.39/197.42 [10121]P52(x101211,x101211,f34(f889(x101211,x101211)),f34(x101211),x101212,x101213,x101214,x101212)+~E(x101214,f341(x101213,x101212)) % 197.39/197.42 [4944]~E(x49444,f129(x49441))+E(f341(f341(f159(x49441,x49442),x49443),x49444),f129(x49442)) % 197.39/197.42 [4945]~E(x49452,f129(x49451))+E(f341(f341(f164(x49451,x49452),x49453),x49454),f129(x49451)) % 197.39/197.42 [5180]E(x51801,f129(x51802))+~E(f341(f341(f159(x51802,x51803),x51804),x51801),f129(x51803)) % 197.39/197.42 [5181]E(x51811,f129(x51812))+~E(f341(f341(f164(x51812,x51811),x51813),x51814),f129(x51812)) % 197.39/197.42 [5208]~E(x52084,f193(f889(x52081,a874)))+E(f341(f341(f317(x52081,x52082),x52083),x52084),f193(f889(x52082,a874))) % 197.39/197.42 [5217]E(x52171,x52172)+~E(f341(f341(f137(x52173),x52174),x52171),f341(f341(f137(x52173),x52174),x52172)) % 197.39/197.42 [5218]E(x52181,x52182)+~E(f341(f341(f137(x52183),x52181),x52184),f341(f341(f137(x52183),x52182),x52184)) % 197.39/197.42 [5355]P1(f341(x53553,x53552))+E(f174(x53551,x53552,f341(f141(x53551,x53553),x53554)),f341(f141(x53551,x53553),x53554)) % 197.39/197.42 [5366]E(x53661,x53662)+~E(f144(a881,f341(f309(a881,x53661),x53663)),f341(f341(f156(a881),x53662),x53664)) % 197.39/197.42 [5413]E(x54131,f193(f889(x54132,a874)))+~E(f341(f341(f317(x54132,x54133),x54134),x54131),f193(f889(x54133,a874))) % 197.39/197.42 [5420]~P20(x54202,x54203)+P20(x54201,f341(f341(f83(x54202,x54201),x54203),x54204)) % 197.39/197.42 [5421]~P34(x54212,x54213)+P34(x54211,f341(f341(f295(x54212,x54211),x54213),x54214)) % 197.39/197.42 [5623]~E(x56231,f129(x56232))+~E(f341(f341(f137(x56232),x56233),f341(f341(f156(x56232),x56234),f129(x56232))),x56231) % 197.39/197.42 [5656]E(f149(x56561,x56562),x56563)+~E(f341(f341(f137(x56561),x56564),f341(f341(f156(x56561),x56563),f129(x56561))),x56562) % 197.39/197.42 [5657]E(f130(x56571,x56572),x56573)+~E(f341(f341(f137(x56571),x56573),f341(f341(f156(x56571),x56574),f129(x56571))),x56572) % 197.39/197.42 [5775]~E(f144(a881,f341(f309(a881,x57751),x57752)),f341(f341(f156(a881),x57753),x57754))+P1(f341(f341(f242(a881),x57751),x57752)) % 197.39/197.42 [5989]E(x59891,f341(f341(f137(x59892),f341(f173(x59892),x59893)),f341(f341(f156(x59892),x59894),f129(x59892))))+~E(f341(f173(x59892),x59891),f341(f341(f156(x59892),x59894),x59893)) % 197.39/197.42 [6160]~P105(x61601)+E(f341(f341(f126(f889(x61601,a874)),f341(f309(x61601,x61602),x61603)),f341(f309(x61601,x61603),x61604)),f193(f889(x61601,a874))) % 197.39/197.42 [6197]~P70(x61971)+E(f341(f170(x61971),f341(f341(f159(a1,x61971),x61972),f181(x61973,x61974))),f341(f341(f8(a1,x61971),x61972),f341(f176(a1),f181(x61973,x61974)))) % 197.39/197.42 [6198]~P70(x61981)+E(f341(f341(f8(a1,x61981),x61982),f341(f176(a1),f181(x61983,x61984))),f341(f170(x61981),f341(f341(f159(a1,x61981),x61982),f181(x61983,x61984)))) % 197.39/197.42 [6350]~E(x63502,f341(f341(f137(x63501),f341(f173(x63501),x63504)),f341(f341(f156(x63501),x63503),f129(x63501))))+E(f341(f173(x63501),x63502),f341(f341(f156(x63501),x63503),x63504)) % 197.39/197.42 [6368]~P23(x63682,x63683,x63684,x63681)+E(f341(x63681,f193(f889(x63682,a874))),f34(x63683)) % 197.39/197.42 [6395]~P105(x63951)+E(f341(f341(f126(f889(x63951,a874)),f313(x63951,x63952,x63953)),f341(f309(x63951,x63953),x63954)),f193(f889(x63951,a874))) % 197.39/197.42 [6618]E(x66181,f193(f889(x66182,a874)))+~E(f324(x66183,x66182,x66184,x66181),f193(f889(f887(x66183,x66182),a874))) % 197.39/197.42 [6619]E(x66191,f193(f889(x66192,a874)))+~E(f324(x66192,x66193,x66191,x66194),f193(f889(f887(x66192,x66193),a874))) % 197.39/197.42 [6692]~P101(x66922)+E(f341(f194(f883(x66921)),f153(x66921,x66922,x66923,x66924)),f341(f194(f883(x66921)),x66924)) % 197.39/197.42 [6709]~P49(x67093,x67094,x67091,x67092)+P1(f341(f341(x67091,f400(x67092,x67091)),x67092)) % 197.39/197.42 [6782]E(f341(f341(f317(x67821,x67822),x67823),f341(f320(x67821,x67822,x67823),x67824)),x67824)+~E(f341(f341(f317(x67821,x67822),x67823),f249(f889(x67821,a874))),f249(f889(x67822,a874))) % 197.39/197.42 [7734]P1(f341(x77341,x77342))+~P1(f341(f341(f344(x77343),x77342),f341(f176(x77343),f180(x77343,x77341,x77344)))) % 197.39/197.42 [7836]~P1(f341(f341(f344(f883(x78361)),f341(f341(f156(x78361),x78362),x78364)),f166(x78361,x78363)))+P1(f341(f341(f344(x78361),x78362),x78363)) % 197.39/197.42 [7965]~P1(f341(f341(f344(x79651),x79652),f341(f176(x79651),f178(x79651,x79653,x79654))))+P1(f341(f341(f344(x79651),x79652),f341(f176(x79651),x79653))) % 197.39/197.42 [7966]~P1(f341(f341(f344(x79661),x79662),f341(f176(x79661),f174(x79661,x79664,x79663))))+P1(f341(f341(f344(x79661),x79662),f341(f176(x79661),x79663))) % 197.39/197.42 [7967]~P1(f341(f341(f344(x79671),x79672),f341(f176(x79671),f180(x79671,x79674,x79673))))+P1(f341(f341(f344(x79671),x79672),f341(f176(x79671),x79673))) % 197.39/197.42 [7976]E(f341(f194(f883(x79761)),x79762),x79763)+~P1(f341(f341(f344(f883(x79761)),x79762),f341(f176(f883(x79761)),f67(x79761,x79763,x79764)))) % 197.39/197.42 [8076]P1(f341(x80763,x80762))+E(f341(f141(x80761,f341(f341(f10(a874,a874,x80761),a336),f341(a338,x80762))),f341(f141(x80761,x80763),x80764)),f341(f141(x80761,x80763),x80764)) % 197.39/197.42 [8175]~P18(x81752,x81751,x81754,x81753)+P18(x81751,x81752,f88(x81752,x81751,x81753,x81754),f341(f341(f317(x81752,x81751),x81754),x81753)) % 197.39/197.42 [8195]E(f341(f341(f169(x81951),f180(x81951,x81952,x81953)),x81954),f341(f341(f169(x81951),x81953),x81954))+~P1(f341(f341(f242(a881),x81954),f341(f194(f883(x81951)),f180(x81951,x81952,x81953)))) % 197.39/197.42 [8274]~P70(x82741)+E(f341(f341(f8(a881,x82741),f341(f341(f10(a881,x82741,a881),x82742),a128)),f341(f309(a881,x82743),x82744)),f341(f341(f8(a881,x82741),x82742),f341(f309(a881,f341(a128,x82743)),f341(a128,x82744)))) % 197.39/197.42 [8282]~P70(x82821)+E(f341(f341(f8(a881,x82821),f341(f341(f10(a881,x82821,a881),x82822),a128)),f310(a881,x82823,x82824)),f341(f341(f8(a881,x82821),x82822),f310(a881,f341(a128,x82823),f341(a128,x82824)))) % 197.39/197.42 [8416]~P18(x84161,x84163,x84164,f249(f889(x84161,a874)))+P18(x84161,f889(x84162,x84163),f341(f341(f10(x84163,f889(x84162,x84163),x84161),f18(x84163,x84162)),x84164),f249(f889(x84161,a874))) % 197.39/197.42 [8571]~P1(f341(f341(f344(f888(x85711,x85711)),f341(f341(f257(x85711,x85711),x85712),x85714)),f271(x85711,x85713)))+P1(f341(f341(f344(x85711),x85712),x85713)) % 197.39/197.42 [8589]~P1(f341(f72(x85892),x85894))+P1(f341(f341(f241(a881),f341(f37(x85891),f341(f341(f317(x85892,x85891),x85893),x85894))),f341(f37(x85892),x85894))) % 197.39/197.42 [8824]E(f341(f341(f257(x88241,x88242),f475(x88243,x88244,x88242,x88241)),f476(x88243,x88244,x88242,x88241)),x88244)+~P1(f341(f341(f344(f888(x88241,x88242)),x88244),f341(f293(x88242,x88241),x88243))) % 197.39/197.42 [8832]P18(x88321,x88322,x88323,x88324)+P1(f341(f341(f344(x88321),f686(x88324,x88323,x88322,x88321)),x88324)) % 197.39/197.42 [8833]P18(x88331,x88332,x88333,x88334)+P1(f341(f341(f344(x88331),f688(x88334,x88333,x88332,x88331)),x88334)) % 197.39/197.42 [8908]P14(x89081,x89082,x89083,x89084)+P1(f341(f341(f344(f888(x89081,x89081)),f368(x89084,x89083,x89082,x89081)),x89083)) % 197.39/197.42 [8955]P1(f341(x89551,x89552))+~P1(f341(x89551,f341(f341(f257(x89553,x89554),f868(x89554,x89553,x89551)),f869(x89554,x89553,x89551)))) % 197.39/197.42 [8973]E(f341(f194(f883(x89731)),x89732),f341(f194(f883(x89731)),x89733))+~P1(f341(f341(f344(f888(f883(x89731),f883(x89731))),f341(f341(f257(f883(x89731),f883(x89731)),x89732),x89733)),f150(x89731,x89734))) % 197.39/197.42 [8974]E(f341(f194(f883(x89741)),x89742),f341(f194(f883(x89741)),x89743))+~P1(f341(f341(f344(f888(f883(x89741),f883(x89741))),f341(f341(f257(f883(x89741),f883(x89741)),x89742),x89743)),f162(x89741,x89744))) % 197.39/197.42 [8977]E(f341(f194(f883(x89771)),x89772),f341(f194(f883(x89771)),x89773))+~P1(f341(f341(f344(f888(f883(x89771),f883(x89771))),f341(f341(f257(f883(x89771),f883(x89771)),x89772),x89773)),f163(x89771,x89774))) % 197.39/197.42 [9050]P1(f341(f341(f241(a881),f160(x90501,x90502,x90503)),f160(x90501,x90504,x90503)))+P1(f341(f341(f344(x90501),f532(x90504,x90502,x90503,x90501)),f341(f176(x90501),x90503))) % 197.39/197.42 [9054]E(f341(f194(f883(x90541)),x90542),f341(f194(f883(x90541)),x90543))+~P1(f341(f341(f344(f888(f883(x90541),f883(x90541))),f341(f341(f257(f883(x90541),f883(x90541)),x90542),x90543)),f315(f883(x90541),f162(x90541,x90544)))) % 197.39/197.42 [9126]~P18(x91261,x91262,x91263,x91264)+~P1(f341(f341(f242(a881),f341(f37(x91262),f341(f341(f317(x91261,x91262),x91263),x91264))),f341(f37(x91261),x91264))) % 197.39/197.42 [9163]P1(f341(f341(f294(a881),x91631),x91632))+P1(f341(f341(f241(f889(a881,a874)),f297(a881,f294(a881),x91631,x91632)),f297(a881,f294(a881),x91633,x91634))) % 197.39/197.42 [9193]P1(f341(x91931,x91932))+~P1(f341(x91931,f341(f41(x91933,x91934),f398(x91932,x91931,x91934,x91933)))) % 197.39/197.42 [9326]~P1(f341(f341(f344(f888(f883(x93261),f883(x93261))),f341(f341(f257(f883(x93261),f883(x93261)),x93262),x93263)),f162(x93261,x93264)))+P1(f341(f341(f344(f888(f883(x93261),f883(x93261))),f341(f341(f257(f883(x93261),f883(x93261)),x93262),x93263)),f163(x93261,f315(x93261,x93264)))) % 197.39/197.42 [9329]~P1(f341(f341(f344(f888(f883(x93291),f883(x93291))),f341(f341(f257(f883(x93291),f883(x93291)),x93292),x93293)),f163(x93291,x93294)))+P1(f341(f341(f344(f888(f883(x93291),f883(x93291))),f341(f341(f257(f883(x93291),f883(x93291)),x93292),x93293)),f315(f883(x93291),f162(x93291,x93294)))) % 197.39/197.42 [9345]P1(f341(f341(f344(f888(x93451,x93451)),f341(f341(f257(x93451,x93451),x93452),x93453)),f315(x93451,x93454)))+~P1(f341(f341(f344(f888(x93451,x93451)),f341(f341(f257(x93451,x93451),x93452),x93453)),f341(f341(f296(x93451,x93451,x93451),x93454),f315(x93451,x93454)))) % 197.39/197.42 [9414]P1(f341(f341(f294(a881),x94141),x94142))+~P1(f341(f341(f242(f889(a881,a874)),f297(a881,f294(a881),x94143,x94144)),f297(a881,f294(a881),x94141,x94142))) % 197.39/197.42 [9530]E(f341(f341(f137(x95301),f490(x95302,x95303,x95304,x95301)),f341(f341(f156(x95301),f491(x95302,x95303,x95304,x95301)),f493(x95302,x95303,x95304,x95301))),x95304)+~P1(f341(f341(f344(f888(f883(x95301),f883(x95301))),f341(f341(f257(f883(x95301),f883(x95301)),x95304),x95303)),f162(x95301,x95302))) % 197.39/197.42 [9531]E(f341(f341(f137(x95311),f490(x95312,x95313,x95314,x95311)),f341(f341(f156(x95311),f492(x95312,x95313,x95314,x95311)),f493(x95312,x95313,x95314,x95311))),x95313)+~P1(f341(f341(f344(f888(f883(x95311),f883(x95311))),f341(f341(f257(f883(x95311),f883(x95311)),x95314),x95313)),f162(x95311,x95312))) % 197.39/197.42 [9667]P1(f341(f341(f241(a881),f160(x96671,x96672,x96673)),f160(x96671,x96674,x96673)))+~P1(f341(f341(f242(a881),f341(x96672,f532(x96674,x96672,x96673,x96671))),f341(x96674,f532(x96674,x96672,x96673,x96671)))) % 197.39/197.42 [5196]~E(x51962,x51963)+E(f174(x51961,x51962,f341(f341(f156(x51961),x51963),x51964)),x51964) % 197.39/197.42 [5314]P1(f341(x53142,x53143))+E(f180(x53141,x53142,f341(f341(f156(x53141),x53143),x53144)),f129(x53141)) % 197.39/197.42 [5382]~P86(x53822)+E(f341(f341(f90(f889(x53821,x53822)),x53823),x53824),f341(f90(x53822),f341(x53823,x53824))) % 197.39/197.42 [5395]~E(x53952,f2(a881))+E(f341(f341(f143(x53951),x53952),f341(f341(f156(x53951),x53953),x53954)),f341(f341(f156(x53951),x53953),x53954)) % 197.39/197.42 [5396]P1(f341(x53962,x53963))+E(f341(f141(x53961,x53962),f341(f341(f156(x53961),x53963),x53964)),f341(f141(x53961,x53962),x53964)) % 197.39/197.42 [5524]~E(x55242,x55244)+P1(f341(f341(f341(f318(x55241),x55242),x55243),x55244)) % 197.39/197.42 [5532]E(x55321,f129(x55322))+E(f149(x55323,f341(f341(f159(x55322,x55323),x55324),x55321)),f341(x55324,f149(x55322,x55321))) % 197.39/197.42 [5542]~E(x55421,f74(x55422,x55424))+E(f341(x55421,f341(f341(f318(x55422),x55423),f193(f889(x55422,a874)))),x55423) % 197.39/197.42 [5579]E(x55791,f129(x55792))+E(f341(f146(x55793),f341(f341(f159(x55792,x55793),x55794),x55791)),f341(x55794,f341(f146(x55792),x55791))) % 197.39/197.42 [5675]~P1(f341(x56753,x56754))+P1(f341(f341(f341(f318(x56751),x56752),x56753),x56754)) % 197.39/197.42 [5806]~P22(x58062,x58064,x58061)+E(f341(x58061,f341(f341(f318(x58062),x58063),f193(f889(x58062,a874)))),x58063) % 197.39/197.42 [5832]~E(x58322,x58323)+P1(f341(f341(f344(x58321),x58322),f341(f341(f318(x58321),x58323),x58324))) % 197.39/197.42 [5837]~P108(x58371)+E(f341(f341(f91(x58371),x58372),f341(f341(f91(x58371),x58373),x58374)),f341(f341(f91(x58371),x58373),f341(f341(f91(x58371),x58372),x58374))) % 197.39/197.42 [5838]~P108(x58381)+E(f341(f341(f92(x58381),x58382),f341(f341(f92(x58381),x58383),x58384)),f341(f341(f92(x58381),x58383),f341(f341(f92(x58381),x58382),x58384))) % 197.39/197.42 [5840]~P101(x58401)+E(f341(f341(f246(x58401),x58402),f341(f341(f246(x58401),x58403),x58404)),f341(f341(f246(x58401),x58403),f341(f341(f246(x58401),x58402),x58404))) % 197.39/197.42 [5842]~P101(x58421)+E(f341(f341(f192(x58421),x58422),f341(f341(f192(x58421),x58423),x58424)),f341(f341(f192(x58421),x58423),f341(f341(f192(x58421),x58422),x58424))) % 197.39/197.42 [5844]~P94(x58441)+E(f341(f341(f125(x58441),x58442),f341(f341(f125(x58441),x58443),x58444)),f341(f341(f125(x58441),x58443),f341(f341(f125(x58441),x58442),x58444))) % 197.39/197.42 [5845]~P95(x58451)+E(f341(f341(f125(x58451),x58452),f341(f341(f125(x58451),x58453),x58454)),f341(f341(f125(x58451),x58453),f341(f341(f125(x58451),x58452),x58454))) % 197.39/197.42 [5846]~P95(x58461)+E(f341(f341(f126(x58461),x58462),f341(f341(f126(x58461),x58463),x58464)),f341(f341(f126(x58461),x58463),f341(f341(f126(x58461),x58462),x58464))) % 197.39/197.42 [5848]~P100(x58481)+E(f341(f341(f126(x58481),x58482),f341(f341(f126(x58481),x58483),x58484)),f341(f341(f126(x58481),x58483),f341(f341(f126(x58481),x58482),x58484))) % 197.39/197.42 [5855]E(x58551,x58552)+E(f174(x58553,x58551,f341(f341(f156(x58553),x58552),x58554)),f341(f341(f156(x58553),x58552),f174(x58553,x58551,x58554))) % 197.39/197.42 [5872]~P1(f341(x58722,x58723))+E(f341(f141(x58721,x58722),f341(f341(f156(x58721),x58723),x58724)),f341(f341(f156(x58721),x58723),f341(f141(x58721,x58722),x58724))) % 197.39/197.42 [6011]~P1(f341(x60112,x60113))+E(f180(x60111,x60112,f341(f341(f156(x60111),x60113),x60114)),f341(f341(f156(x60111),x60113),f180(x60111,x60112,x60114))) % 197.39/197.42 [6066]E(x60661,f193(f889(x60662,a874)))+E(f341(f341(f317(x60662,x60663),f341(f18(x60663,x60662),x60664)),x60661),f341(f341(f318(x60663),x60664),f193(f889(x60663,a874)))) % 197.39/197.42 [6076]E(x60761,f193(f889(x60762,a874)))+E(f341(f341(f42(x60762,f889(x60763,a874)),x60761),f341(f18(f889(x60763,a874),x60762),x60764)),x60764) % 197.39/197.42 [6077]E(x60771,f193(f889(x60772,a874)))+E(f341(f341(f43(x60772,f889(x60773,a874)),x60771),f341(f18(f889(x60773,a874),x60772),x60774)),x60774) % 197.39/197.42 [6084]~E(x60844,f193(f889(x60842,a874)))+E(f341(f341(f259(x60841,x60842),x60843),f341(f18(f889(x60842,a874),x60841),x60844)),f193(f889(f888(x60841,x60842),a874))) % 197.39/197.42 [6085]~E(x60853,f193(f889(x60851,a874)))+E(f341(f341(f259(x60851,x60852),x60853),f341(f18(f889(x60852,a874),x60851),x60854)),f193(f889(f888(x60851,x60852),a874))) % 197.39/197.42 [6134]E(x61341,f2(a881))+E(f341(f341(f143(x61342),x61341),f341(f341(f156(x61342),x61343),x61344)),f341(f341(f143(x61342),f341(f341(f3(a881),x61341),f89(a881))),x61344)) % 197.39/197.42 [6155]E(f341(f320(x61551,x61552,f341(f18(x61552,x61551),x61553)),x61554),f193(f889(x61551,a874)))+P1(f341(f341(f344(x61552),x61553),x61554)) % 197.39/197.42 [6222]~E(x62223,f193(f889(x62221,a874)))+E(f341(f341(f42(x62221,f889(x62222,a874)),x62223),f341(f18(f889(x62222,a874),x62221),x62224)),f193(f889(x62222,a874))) % 197.39/197.42 [6223]~E(x62233,f193(f889(x62231,a874)))+E(f341(f341(f43(x62231,f889(x62232,a874)),x62233),f341(f18(f889(x62232,a874),x62231),x62234)),f249(f889(x62232,a874))) % 197.39/197.42 [6225]~P59(x62251)+E(f57(x62251,f341(f341(f92(x62251),x62252),x62253),f341(f341(f92(x62251),x62252),x62254)),f341(f341(f92(x62251),x62252),f57(x62251,x62253,x62254))) % 197.39/197.42 [6405]E(f341(f320(x64051,x64052,f341(f18(x64052,x64051),x64053)),x64054),f249(f889(x64051,a874)))+~P1(f341(f341(f344(x64052),x64053),x64054)) % 197.39/197.42 [6410]~P1(f341(f72(x64102),x64104))+P1(f341(f72(x64101),f341(f341(f317(x64102,x64101),x64103),x64104))) % 197.39/197.42 [6431]~P1(f341(f341(f344(x64311),x64312),x64314))+P1(f341(f341(f344(x64311),x64312),f341(f341(f318(x64311),x64313),x64314))) % 197.39/197.42 [6436]P1(f341(x64361,x64362))+~P1(f341(f165(x64363,x64361),f341(f341(f156(x64363),x64362),x64364))) % 197.39/197.42 [6445]~E(x64453,f341(f341(f3(a881),f341(f194(f883(x64451)),x64452)),f89(a881)))+E(f130(x64451,f341(f341(f164(x64451,x64452),x64453),x64454)),f130(x64451,x64452)) % 197.39/197.42 [6469]~P101(x64691)+E(f341(f341(f126(f889(x64691,a874)),f341(f308(x64691),x64692)),f310(x64691,x64693,x64694)),f310(x64691,x64693,f341(f341(f246(x64691),x64692),x64694))) % 197.39/197.42 [6470]~P101(x64701)+E(f341(f341(f126(f889(x64701,a874)),f341(f269(x64701),x64702)),f310(x64701,x64703,x64704)),f310(x64701,f341(f341(f192(x64701),x64702),x64703),x64704)) % 197.39/197.42 [6485]E(f341(f341(f126(f889(x64851,a874)),x64852),f341(f341(f318(x64851),x64853),x64854)),f341(f341(f126(f889(x64851,a874)),x64852),x64854))+P1(f341(f341(f344(x64851),x64853),x64852)) % 197.39/197.42 [6497]E(f174(x64971,x64972,f341(f341(f137(x64971),x64973),x64974)),f341(f341(f137(x64971),x64973),f174(x64971,x64972,x64974)))+P1(f341(f341(f344(x64971),x64972),f341(f176(x64971),x64973))) % 197.39/197.42 [6502]~P77(x65021)+E(f341(f341(f92(x65021),f341(f341(f251(x65021),x65022),x65023)),f341(f341(f251(x65021),x65022),x65024)),f341(f341(f251(x65021),x65022),f341(f341(f91(a881),x65023),x65024))) % 197.39/197.42 [6503]~P108(x65031)+E(f341(f341(f92(x65031),f341(f341(f251(x65031),x65032),x65033)),f341(f341(f251(x65031),x65032),x65034)),f341(f341(f251(x65031),x65032),f341(f341(f91(a881),x65033),x65034))) % 197.39/197.42 [6537]~P108(x65371)+E(f341(f341(f91(x65371),f341(f341(f92(x65371),x65372),x65373)),f341(f341(f92(x65371),x65372),x65374)),f341(f341(f92(x65371),x65372),f341(f341(f91(x65371),x65373),x65374))) % 197.39/197.42 [6538]~P101(x65381)+E(f341(f341(f192(x65381),f341(f341(f246(x65381),x65382),x65383)),f341(f341(f246(x65381),x65382),x65384)),f341(f341(f246(x65381),x65382),f341(f341(f192(x65381),x65383),x65384))) % 197.39/197.42 [6539]~P101(x65391)+E(f341(f341(f246(x65391),f341(f341(f192(x65391),x65392),x65393)),f341(f341(f192(x65391),x65392),x65394)),f341(f341(f192(x65391),x65392),f341(f341(f246(x65391),x65393),x65394))) % 197.39/197.42 [6540]~P99(x65401)+E(f341(f341(f126(x65401),f341(f341(f125(x65401),x65402),x65403)),f341(f341(f125(x65401),x65402),x65404)),f341(f341(f125(x65401),x65402),f341(f341(f126(x65401),x65403),x65404))) % 197.39/197.42 [6541]~P99(x65411)+E(f341(f341(f125(x65411),f341(f341(f126(x65411),x65412),x65413)),f341(f341(f126(x65411),x65412),x65414)),f341(f341(f126(x65411),x65412),f341(f341(f125(x65411),x65413),x65414))) % 197.39/197.42 [6578]~P59(x65781)+E(f57(x65781,f341(f341(f92(x65781),x65782),x65783),f341(f341(f92(x65781),x65784),x65783)),f341(f341(f92(x65781),f57(x65781,x65782,x65784)),x65783)) % 197.39/197.42 [6581]~E(f341(f194(f883(x65811)),x65813),f341(f194(f883(x65812)),x65814))+E(f341(f341(f159(f888(x65811,x65812),x65812),f261(x65811,x65812)),f341(f341(f184(x65811,x65812),x65813),x65814)),x65814) % 197.39/197.42 [6582]~E(f341(f194(f883(x65821)),x65823),f341(f194(f883(x65822)),x65824))+E(f341(f341(f159(f888(x65821,x65822),x65821),f256(x65821,x65822)),f341(f341(f184(x65821,x65822),x65823),x65824)),x65823) % 197.39/197.42 [6587]P1(f341(f165(x65871,x65872),x65873))+~P1(f341(f165(x65871,x65872),f341(f341(f137(x65871),x65874),x65873))) % 197.39/197.42 [6588]P1(f341(f165(x65881,x65882),x65883))+~P1(f341(f165(x65881,x65882),f341(f341(f137(x65881),x65883),x65884))) % 197.39/197.42 [6589]P1(f341(f165(x65891,x65892),x65893))+~P1(f341(f165(x65891,x65892),f341(f341(f156(x65891),x65894),x65893))) % 197.39/197.42 [6595]~P59(x65951)+E(f57(x65951,f341(f341(f92(x65951),x65952),f57(x65951,x65953,x65954)),x65954),f57(x65951,f341(f341(f92(x65951),x65952),x65953),x65954)) % 197.39/197.42 [6596]~P7(x65961)+E(f57(x65961,f341(f341(f3(x65961),x65962),f57(x65961,x65963,x65964)),x65964),f57(x65961,f341(f341(f3(x65961),x65962),x65963),x65964)) % 197.39/197.42 [6597]~P59(x65971)+E(f57(x65971,f341(f341(f91(x65971),x65972),f57(x65971,x65973,x65974)),x65974),f57(x65971,f341(f341(f91(x65971),x65972),x65973),x65974)) % 197.39/197.42 [6682]~P101(x66821)+E(f341(f341(f126(f889(x66821,a874)),f310(x66821,x66822,x66823)),f341(f308(x66821),x66824)),f310(x66821,x66822,f341(f341(f246(x66821),x66823),x66824))) % 197.39/197.42 [6683]~P101(x66831)+E(f341(f341(f126(f889(x66831,a874)),f310(x66831,x66832,x66833)),f341(f269(x66831),x66834)),f310(x66831,f341(f341(f192(x66831),x66832),x66834),x66833)) % 197.39/197.42 [6686]~E(f341(f194(f883(x66861)),x66863),f341(f194(f883(x66862)),x66864))+E(f341(f341(f184(x66861,x66862),f341(f173(x66861),x66863)),f341(f173(x66862),x66864)),f341(f173(f888(x66861,x66862)),f341(f341(f184(x66861,x66862),x66863),x66864))) % 197.39/197.42 [6699]E(x66991,f341(f341(f3(a881),f341(f194(f883(x66992)),x66993)),f89(a881)))+E(f130(x66992,f341(f341(f164(x66992,x66993),x66991),x66994)),f341(f341(f164(x66992,f130(x66992,x66993)),x66991),x66994)) % 197.39/197.42 [6711]~P1(f341(f142(x67112),x67114))+P1(f341(f142(f888(x67111,x67112)),f341(f341(f184(x67111,x67112),x67113),x67114))) % 197.39/197.42 [6712]~P1(f341(f142(x67121),x67123))+P1(f341(f142(f888(x67121,x67122)),f341(f341(f184(x67121,x67122),x67123),x67124))) % 197.39/197.42 [6813]~P18(x68132,x68131,x68133,x68134)+E(f341(f37(x68131),f341(f341(f317(x68132,x68131),x68133),x68134)),f341(f37(x68132),x68134)) % 197.39/197.42 [6987]E(f341(f341(f38(a881),x69871),x69872),x69873)+~P1(f341(f60(x69871,x69872),f341(f341(f257(a881,a881),x69873),x69874))) % 197.39/197.42 [7010]E(f57(a881,x70101,x70102),x70103)+~P1(f341(f60(x70101,x70102),f341(f341(f257(a881,a881),x70104),x70103))) % 197.39/197.42 [7014]P1(f341(f142(x70141),x70142))+~P1(f341(f142(x70143),f341(f341(f159(x70141,x70143),x70144),x70142))) % 197.39/197.42 [7025]P1(f341(f341(f199(x70251),x70252),x70253))+~P1(f341(f341(f341(f341(a201,x70251),x70252),x70254),x70253)) % 197.39/197.42 [7099]E(f174(x70991,x70992,f341(f341(f137(x70991),x70993),x70994)),f341(f341(f137(x70991),f174(x70991,x70992,x70993)),x70994))+~P1(f341(f341(f344(x70991),x70992),f341(f176(x70991),x70993))) % 197.39/197.42 [7194]~P7(x71941)+E(f57(x71941,f341(f341(f3(x71941),f57(x71941,x71942,x71943)),x71944),x71943),f57(x71941,f341(f341(f3(x71941),x71942),x71944),x71943)) % 197.39/197.42 [7195]~P59(x71951)+E(f57(x71951,f341(f341(f91(x71951),f57(x71951,x71952,x71953)),x71954),x71953),f57(x71951,f341(f341(f91(x71951),x71952),x71954),x71953)) % 197.39/197.42 [7196]~P59(x71961)+E(f57(x71961,f341(f341(f92(x71961),f57(x71961,x71962,x71963)),x71964),x71963),f57(x71961,f341(f341(f92(x71961),x71962),x71964),x71963)) % 197.39/197.42 [7257]~P18(x72571,x72572,x72573,f249(f889(x72571,a874)))+E(f341(f320(x72571,x72572,x72573),f341(f341(f317(x72571,x72572),x72573),x72574)),x72574) % 197.39/197.42 [7382]~E(x73821,f341(f341(f156(x73822),x73823),x73824))+~P1(f341(f341(f241(a881),f341(f194(f883(x73822)),x73821)),f341(f194(f883(x73822)),x73824))) % 197.39/197.42 [7580]P18(x75801,x75802,x75803,f341(f176(x75801),x75804))+~P1(f341(f142(x75802),f341(f341(f159(x75801,x75802),x75803),x75804))) % 197.39/197.42 [7655]~P1(f341(f341(f241(f889(x76551,a874)),x76552),x76554))+P1(f341(f341(f241(f889(x76551,a874)),x76552),f341(f341(f318(x76551),x76553),x76554))) % 197.39/197.42 [7689]~P59(x76891)+E(f57(x76891,f341(f341(f91(x76891),f57(x76891,x76892,x76893)),f57(x76891,x76894,x76893)),x76893),f57(x76891,f341(f341(f91(x76891),x76892),x76894),x76893)) % 197.39/197.42 [7690]~P59(x76901)+E(f57(x76901,f341(f341(f92(x76901),f57(x76901,x76902,x76903)),f57(x76901,x76904,x76903)),x76903),f57(x76901,f341(f341(f92(x76901),x76902),x76904),x76903)) % 197.39/197.42 [7691]~P7(x76911)+E(f57(x76911,f341(f341(f3(x76911),f57(x76911,x76912,x76913)),f57(x76911,x76914,x76913)),x76913),f57(x76911,f341(f341(f3(x76911),x76912),x76914),x76913)) % 197.39/197.42 [7786]P1(f341(f341(f341(f341(a201,x77861),x77862),f341(a128,x77863)),x77864))+~P1(f341(f341(f341(f341(a201,x77861),x77862),x77863),x77864)) % 197.39/197.42 [7794]~E(f341(x77944,f786(x77944,x77943,x77941,x77942)),f249(f889(x77942,a874)))+E(f341(f341(f43(x77941,f889(x77942,a874)),x77943),x77944),f249(f889(x77942,a874))) % 197.39/197.42 [7795]~E(f341(x77954,f708(x77954,x77953,x77951,x77952)),f193(f889(x77952,a874)))+E(f341(f341(f42(x77951,f889(x77952,a874)),x77953),x77954),f193(f889(x77952,a874))) % 197.39/197.42 [7796]~E(f341(x77964,f709(x77964,x77963,x77962,x77961)),f193(f889(x77962,a874)))+E(f341(f341(f42(x77961,f889(x77962,a874)),x77963),x77964),f193(f889(x77962,a874))) % 197.39/197.42 [7797]~E(f341(x77974,f778(x77974,x77973,x77972,x77971)),f249(f889(x77972,a874)))+E(f341(f341(f43(x77971,f889(x77972,a874)),x77973),x77974),f249(f889(x77972,a874))) % 197.39/197.42 [8196]P1(f341(x81961,x81962))+~P1(f341(f341(f344(x81963),x81962),f341(f341(f126(f889(x81963,a874)),x81964),f341(f267(x81963),x81961)))) % 197.39/197.42 [8234]~P1(f341(f341(f241(f889(x82341,a874)),x82343),x82344))+P1(f341(f341(f241(f889(x82341,a874)),f341(f341(f318(x82341),x82342),x82343)),f341(f341(f318(x82341),x82342),x82344))) % 197.39/197.42 [8393]P1(f341(f341(f199(x83931),x83932),f469(x83933,x83932,x83934,x83931)))+~P1(f341(f341(f199(f33(x83931,x83934)),x83932),x83933)) % 197.39/197.42 [8394]P1(f341(f341(f199(x83941),x83942),f527(x83943,x83942,x83944,x83941)))+~P1(f341(f341(f199(f33(x83941,x83944)),x83942),x83943)) % 197.39/197.42 [8405]P1(f341(x84052,x84053))+E(f341(f341(f143(x84051),f341(f194(f883(x84051)),f180(x84051,x84052,f341(f341(f156(x84051),x84053),x84054)))),f341(f341(f156(x84051),x84053),x84054)),f341(f341(f156(x84051),x84053),x84054)) % 197.39/197.42 [8451]~P18(x84512,x84511,x84514,x84513)+E(f341(f341(f317(x84511,x84512),f88(x84512,x84511,x84513,x84514)),f341(f341(f317(x84512,x84511),x84514),x84513)),x84513) % 197.39/197.42 [8521]~P1(f341(f341(f242(a881),f341(x85214,x85212)),f341(x85214,x85213)))+P1(f341(f341(f344(f888(x85211,x85211)),f341(f341(f257(x85211,x85211),x85212),x85213)),f341(f341(f295(a881,x85211),a247),x85214))) % 197.39/197.42 [8762]~P1(f341(x87622,x87623))+E(f341(f341(f143(x87621),f341(f194(f883(x87621)),f180(x87621,x87622,f341(f341(f156(x87621),x87623),x87624)))),f341(f341(f156(x87621),x87623),x87624)),f341(f341(f143(x87621),f341(f194(f883(x87621)),f180(x87621,x87622,x87624))),x87624)) % 197.39/197.42 [8782]P18(f883(x87821),f883(x87822),f341(f159(x87821,x87822),x87823),x87824)+~P18(x87821,x87822,x87823,f39(f889(x87821,a874),f341(f341(f317(f883(x87821),f889(x87821,a874)),f176(x87821)),x87824))) % 197.39/197.42 [8799]~E(x87992,x87993)+E(f341(f141(x87991,f341(f341(f10(a874,a874,x87991),a336),f341(a338,x87992))),f341(f341(f156(x87991),x87993),x87994)),f341(f141(x87991,f341(f341(f10(a874,a874,x87991),a336),f341(a338,x87992))),x87994)) % 197.39/197.42 [8814]E(f341(f341(f43(x88141,f889(x88142,a874)),x88143),x88144),f249(f889(x88142,a874)))+P1(f341(f341(f344(x88141),f786(x88144,x88143,x88141,x88142)),x88143)) % 197.39/197.42 [8815]E(f341(f341(f42(x88151,f889(x88152,a874)),x88153),x88154),f193(f889(x88152,a874)))+P1(f341(f341(f344(x88151),f708(x88154,x88153,x88151,x88152)),x88153)) % 197.39/197.42 [8816]E(f341(f341(f42(x88161,f889(x88162,a874)),x88163),x88164),f193(f889(x88162,a874)))+P1(f341(f341(f344(x88161),f709(x88164,x88163,x88162,x88161)),x88163)) % 197.39/197.42 [8817]E(f341(f341(f43(x88171,f889(x88172,a874)),x88173),x88174),f249(f889(x88172,a874)))+P1(f341(f341(f344(x88171),f778(x88174,x88173,x88172,x88171)),x88173)) % 197.39/197.42 [8858]P1(f341(f341(f242(a881),f341(x88581,x88582)),f341(x88581,x88583)))+~P1(f341(f341(f344(f888(x88584,x88584)),f341(f341(f257(x88584,x88584),x88582),x88583)),f341(f341(f295(a881,x88584),a247),x88581))) % 197.39/197.42 [8921]P1(f341(f341(f199(x89211),f469(x89212,x89213,x89211,x89214)),x89212))+~P1(f341(f341(f199(f33(x89214,x89211)),x89213),x89212)) % 197.39/197.42 [8922]P1(f341(f341(f199(x89221),f527(x89222,x89223,x89221,x89224)),x89222))+~P1(f341(f341(f199(f33(x89224,x89221)),x89223),x89222)) % 197.39/197.42 [9037]P1(f341(f341(f344(x90371),f650(x90372,x90373,x90374,x90371)),x90373))+~P1(f341(f341(f344(f889(x90371,a874)),x90374),f341(f341(f71(x90371),x90373),x90372))) % 197.39/197.42 [9039]E(x90391,x90392)+~P1(f341(f341(f344(f888(x90393,x90393)),f341(f341(f257(x90393,x90393),x90391),x90392)),f341(f341(f186(f888(x90393,x90393),a874),f2(a881)),x90394))) % 197.39/197.42 [9113]E(f341(f292(x91131,x91131,x91132),f341(f341(f318(x91131),f650(x91132,x91133,x91134,x91131)),f193(f889(x91131,a874)))),x91134)+~P1(f341(f341(f344(f889(x91131,a874)),x91134),f341(f341(f71(x91131),x91133),x91132))) % 197.39/197.42 [9117]~P1(f341(f341(f344(f888(x91171,x91171)),f341(f341(f257(x91171,x91171),x91173),x91172)),f315(x91171,x91174)))+P1(f341(f341(f344(f888(x91171,x91171)),f341(f341(f257(x91171,x91171),x91172),x91173)),f315(x91171,f341(f293(x91171,x91171),x91174)))) % 197.39/197.42 [9129]~P59(x91291)+E(f341(f341(f91(x91291),f341(f341(f91(x91291),f341(f341(f92(x91291),x91292),f341(f341(f38(x91291),x91293),x91292))),f57(x91291,x91293,x91292))),x91294),f341(f341(f91(x91291),x91293),x91294)) % 197.39/197.42 [9145]~P1(f341(f341(f344(x91451),x91453),x91454))+P1(f341(f341(f344(f889(x91451,a874)),f341(f292(x91451,x91451,x91452),f341(f341(f318(x91451),x91453),f193(f889(x91451,a874))))),f341(f341(f71(x91451),x91454),x91452))) % 197.39/197.42 [9155]P1(f341(f341(f344(f888(x91551,x91551)),f341(f341(f257(x91551,x91551),x91552),x91553)),f315(x91551,x91554)))+~P1(f341(f341(f344(f888(x91551,x91551)),f341(f341(f257(x91551,x91551),x91553),x91552)),f315(x91551,f341(f293(x91551,x91551),x91554)))) % 197.39/197.42 [9250]E(f341(f341(f164(x92501,f341(f173(x92501),x92502)),f341(f341(f3(a881),f341(f341(f3(a881),f341(f194(f883(x92501)),x92502)),x92503)),f89(a881))),x92504),f341(f173(x92501),f341(f341(f164(x92501,x92502),x92503),x92504)))+~P1(f341(f341(f242(a881),x92503),f341(f194(f883(x92501)),x92502))) % 197.39/197.42 [9301]~P8(x93011)+E(f341(f147(x93011,x93012,f341(f9(x93012,x93011,x93011),f341(f341(f10(x93011,f889(x93011,x93011),x93012),f125(x93011)),x93013)),f193(x93011)),x93014),f341(f341(f42(x93012,x93011),f341(f176(x93012),x93014)),x93013)) % 197.39/197.42 [9302]~P8(x93021)+E(f341(f147(x93021,x93022,f341(f9(x93022,x93021,x93021),f341(f341(f10(x93021,f889(x93021,x93021),x93022),f126(x93021)),x93023)),f249(x93021)),x93024),f341(f341(f43(x93022,x93021),f341(f176(x93022),x93024)),x93023)) % 197.39/197.42 [9372]~P1(f341(f341(f344(f888(f883(x93724),f883(x93724))),f341(f341(f257(f883(x93724),f883(x93724)),x93723),x93722)),f162(x93724,x93721)))+P1(f341(f341(f242(a881),f506(x93721,x93722,x93723,x93724)),f341(f194(f883(x93724)),x93723))) % 197.39/197.42 [9373]~P59(x93731)+E(f341(f341(f91(x93731),f341(f341(f91(x93731),f341(f341(f92(x93731),f341(f341(f38(x93731),x93732),x93733)),x93733)),f57(x93731,x93732,x93733))),x93734),f341(f341(f91(x93731),x93732),x93734)) % 197.39/197.42 [9404]~P1(f341(f341(f344(f888(f883(x94041),f883(x94041))),f341(f341(f257(f883(x94041),f883(x94041)),x94042),x94043)),f341(f293(f883(x94041),f883(x94041)),f162(x94041,x94044))))+P1(f341(f341(f344(f888(f883(x94041),f883(x94041))),f341(f341(f257(f883(x94041),f883(x94041)),x94042),x94043)),f162(x94041,f341(f293(x94041,x94041),x94044)))) % 197.39/197.42 [9405]P1(f341(f341(f344(f888(f883(x94051),f883(x94051))),f341(f341(f257(f883(x94051),f883(x94051)),x94052),x94053)),f341(f293(f883(x94051),f883(x94051)),f162(x94051,x94054))))+~P1(f341(f341(f344(f888(f883(x94051),f883(x94051))),f341(f341(f257(f883(x94051),f883(x94051)),x94052),x94053)),f162(x94051,f341(f293(x94051,x94051),x94054)))) % 197.39/197.42 [9444]~P1(f341(f341(f344(x94441),x94443),f341(f272(x94441,x94442),x94444)))+P1(f341(f341(f344(f888(x94441,x94442)),f341(f341(f257(x94441,x94442),x94443),f423(x94444,x94442,x94443,x94441))),x94444)) % 197.39/197.42 [9445]~P1(f341(f341(f344(x94451),x94453),f341(f272(x94451,x94452),x94454)))+P1(f341(f341(f344(f888(x94451,x94452)),f341(f341(f257(x94451,x94452),x94453),f424(x94454,x94452,x94453,x94451))),x94454)) % 197.39/197.42 [9746]P14(x97461,x97462,x97463,x97464)+P1(f341(f341(f344(f888(x97461,x97461)),f341(f341(f257(x97461,x97461),f422(x97462,x97464,x97463,x97461)),f421(x97462,x97464,x97463,x97461))),x97463)) % 197.39/197.42 [9752]~P1(f341(f341(f344(f888(x97522,x97521)),x97524),f341(f293(x97521,x97522),x97523)))+P1(f341(f341(f344(f888(x97521,x97522)),f341(f341(f257(x97521,x97522),f476(x97523,x97524,x97521,x97522)),f475(x97523,x97524,x97521,x97522))),x97523)) % 197.39/197.42 [9778]~P1(f341(f341(f344(f888(f883(x97781),f883(x97781))),f341(f341(f257(f883(x97781),f883(x97781)),x97784),x97783)),f162(x97781,x97782)))+P1(f341(f341(f344(f888(x97781,x97781)),f341(f341(f257(x97781,x97781),f491(x97782,x97783,x97784,x97781)),f492(x97782,x97783,x97784,x97781))),x97782)) % 197.39/197.42 [9865]~P1(f341(f341(f344(f888(f883(x98651),f883(x98651))),f341(f341(f257(f883(x98651),f883(x98651)),x98652),x98654)),f162(x98651,x98653)))+P1(f341(f341(f344(f888(x98651,x98651)),f341(f341(f257(x98651,x98651),f341(f341(f169(x98651),x98652),f506(x98653,x98654,x98652,x98651))),f507(x98653,x98654,x98652,x98651))),x98653)) % 197.39/197.42 [9881]~P1(f341(f72(x98812),x98814))+E(f341(f341(f341(f75(f889(x98811,a874),x98812,f125(f889(x98811,a874))),f341(f341(f9(x98812,f889(x98811,a874),f889(x98811,a874)),f341(f341(f10(x98811,f889(f889(x98811,a874),f889(x98811,a874)),x98812),f318(x98811)),x98813)),f193(f889(x98811,a874)))),f193(f889(x98811,a874))),x98814),f341(f341(f317(x98812,x98811),x98813),x98814)) % 197.39/197.42 [9993]~P18(x99931,x99932,x99933,f249(f889(x99931,a874)))+P1(f341(f341(f241(f889(x99931,a874)),f341(f320(x99931,x99932,x99933),f341(f341(f318(x99932),x99934),f193(f889(x99932,a874))))),f341(f341(f318(x99931),f96(x99931,f341(f341(f9(x99931,x99932,a874),f341(f341(f10(x99932,f889(x99932,a874),x99931),a338),x99933)),x99934))),f193(f889(x99931,a874))))) % 197.39/197.42 [5586]~E(f341(f341(f137(x55861),x55862),x55864),x55863)+E(f341(f341(f177(x55861),f341(f194(f883(x55861)),x55862)),x55863),x55862) % 197.39/197.42 [5587]~E(f341(f341(f137(x55872),x55873),x55871),x55874)+E(x55871,f341(f341(f143(x55872),f341(f194(f883(x55872)),x55873)),x55874)) % 197.39/197.42 [5597]~E(x55974,f2(a881))+E(f341(f341(f169(x55971),f341(f341(f156(x55971),x55972),x55973)),x55974),x55972) % 197.39/197.42 [6146]~P108(x61461)+E(f341(f341(f251(x61461),f341(f341(f251(x61461),x61462),x61463)),x61464),f341(f341(f251(x61461),x61462),f341(f341(f92(a881),x61463),x61464))) % 197.39/197.42 [6147]~P77(x61471)+E(f341(f341(f251(x61471),f341(f341(f251(x61471),x61472),x61473)),x61474),f341(f341(f251(x61471),x61472),f341(f341(f92(a881),x61473),x61474))) % 197.39/197.42 [6154]E(x61541,f2(a881))+E(f341(f341(f169(x61542),f341(f341(f156(x61542),x61543),x61544)),x61541),f341(f341(f169(x61542),x61544),f341(f341(f3(a881),x61541),f89(a881)))) % 197.39/197.42 [6181]~P118(x61811)+E(f341(f341(f298(x61811),f341(f341(f92(x61811),x61812),x61813)),x61814),f341(f341(f92(x61811),x61812),f341(f341(f298(x61811),x61813),x61814))) % 197.39/197.42 [6182]~P6(x61821)+E(f341(f341(f91(x61821),f341(f341(f91(x61821),x61822),x61823)),x61824),f341(f341(f91(x61821),x61822),f341(f341(f91(x61821),x61823),x61824))) % 197.39/197.42 [6183]~P108(x61831)+E(f341(f341(f91(x61831),f341(f341(f91(x61831),x61832),x61833)),x61834),f341(f341(f91(x61831),x61832),f341(f341(f91(x61831),x61833),x61834))) % 197.39/197.42 [6184]~P108(x61841)+E(f341(f341(f92(x61841),f341(f341(f92(x61841),x61842),x61843)),x61844),f341(f341(f92(x61841),x61842),f341(f341(f92(x61841),x61843),x61844))) % 197.39/197.42 [6185]~P67(x61851)+E(f341(f341(f92(x61851),f341(f341(f92(x61851),x61852),x61853)),x61854),f341(f341(f92(x61851),x61852),f341(f341(f92(x61851),x61853),x61854))) % 197.39/197.42 [6188]~P101(x61881)+E(f341(f341(f246(x61881),f341(f341(f246(x61881),x61882),x61883)),x61884),f341(f341(f246(x61881),x61882),f341(f341(f246(x61881),x61883),x61884))) % 197.39/197.42 [6190]~P101(x61901)+E(f341(f341(f192(x61901),f341(f341(f192(x61901),x61902),x61903)),x61904),f341(f341(f192(x61901),x61902),f341(f341(f192(x61901),x61903),x61904))) % 197.39/197.42 [6192]~P94(x61921)+E(f341(f341(f125(x61921),f341(f341(f125(x61921),x61922),x61923)),x61924),f341(f341(f125(x61921),x61922),f341(f341(f125(x61921),x61923),x61924))) % 197.39/197.42 [6193]~P95(x61931)+E(f341(f341(f125(x61931),f341(f341(f125(x61931),x61932),x61933)),x61934),f341(f341(f125(x61931),x61932),f341(f341(f125(x61931),x61933),x61934))) % 197.39/197.42 [6194]~P95(x61941)+E(f341(f341(f126(x61941),f341(f341(f126(x61941),x61942),x61943)),x61944),f341(f341(f126(x61941),x61942),f341(f341(f126(x61941),x61943),x61944))) % 197.39/197.42 [6196]~P100(x61961)+E(f341(f341(f126(x61961),f341(f341(f126(x61961),x61962),x61963)),x61964),f341(f341(f126(x61961),x61962),f341(f341(f126(x61961),x61963),x61964))) % 197.39/197.42 [6205]~P59(x62051)+E(f57(x62051,f341(f341(f91(x62051),x62052),f341(f341(f92(x62051),x62053),x62054)),x62054),f57(x62051,x62052,x62054)) % 197.39/197.42 [6206]~P59(x62061)+E(f57(x62061,f341(f341(f91(x62061),x62062),f341(f341(f92(x62061),x62063),x62064)),x62063),f57(x62061,x62062,x62063)) % 197.39/197.42 [6351]E(f341(f341(f169(x63511),f341(f341(f177(x63511),x63512),x63513)),x63514),f341(f341(f169(x63511),x63513),x63514))+~P1(f341(f341(f242(a881),x63514),x63512)) % 197.39/197.42 [6535]~P108(x65351)+E(f341(f341(f91(x65351),f341(f341(f91(x65351),x65352),x65353)),x65354),f341(f341(f91(x65351),f341(f341(f91(x65351),x65352),x65354)),x65353)) % 197.39/197.42 [6536]~P108(x65361)+E(f341(f341(f92(x65361),f341(f341(f92(x65361),x65362),x65363)),x65364),f341(f341(f92(x65361),f341(f341(f92(x65361),x65362),x65364)),x65363)) % 197.39/197.42 [6600]~P2(x66002)+E(f341(f341(f8(x66001,x66002),f341(f18(x66002,x66001),x66003)),x66004),f341(f341(f92(x66002),f341(f116(x66002),f341(f37(x66001),x66004))),x66003)) % 197.39/197.42 [6772]E(f341(f341(f126(f889(x67721,a874)),f341(f341(f318(x67721),x67722),x67723)),x67724),f341(f341(f126(f889(x67721,a874)),x67723),x67724))+P1(f341(f341(f344(x67721),x67722),x67724)) % 197.39/197.42 [6842]~P78(x68421)+E(f341(f341(f246(x68421),f341(f341(f91(x68421),x68422),x68423)),f341(f341(f91(x68421),x68424),x68423)),f341(f341(f91(x68421),f341(f341(f246(x68421),x68422),x68424)),x68423)) % 197.39/197.42 [6843]~P78(x68431)+E(f341(f341(f192(x68431),f341(f341(f91(x68431),x68432),x68433)),f341(f341(f91(x68431),x68434),x68433)),f341(f341(f91(x68431),f341(f341(f192(x68431),x68432),x68434)),x68433)) % 197.39/197.42 [6845]~P110(x68451)+E(f341(f341(f91(x68451),f341(f341(f92(x68451),x68452),x68453)),f341(f341(f92(x68451),x68454),x68453)),f341(f341(f92(x68451),f341(f341(f91(x68451),x68452),x68454)),x68453)) % 197.39/197.42 [6846]~P108(x68461)+E(f341(f341(f92(x68461),f341(f341(f251(x68461),x68462),x68463)),f341(f341(f251(x68461),x68464),x68463)),f341(f341(f251(x68461),f341(f341(f92(x68461),x68462),x68464)),x68463)) % 197.39/197.42 [6847]~P72(x68471)+E(f341(f341(f92(x68471),f341(f341(f251(x68471),x68472),x68473)),f341(f341(f251(x68471),x68474),x68473)),f341(f341(f251(x68471),f341(f341(f92(x68471),x68472),x68474)),x68473)) % 197.39/197.42 [6848]~P63(x68481)+E(f341(f341(f298(x68481),f341(f341(f251(x68481),x68482),x68483)),f341(f341(f251(x68481),x68484),x68483)),f341(f341(f251(x68481),f341(f341(f298(x68481),x68482),x68484)),x68483)) % 197.39/197.42 [6849]~P80(x68491)+E(f341(f341(f246(x68491),f341(f341(f3(x68491),x68492),x68493)),f341(f341(f3(x68491),x68494),x68493)),f341(f341(f3(x68491),f341(f341(f246(x68491),x68492),x68494)),x68493)) % 197.39/197.42 [6850]~P80(x68501)+E(f341(f341(f192(x68501),f341(f341(f3(x68501),x68502),x68503)),f341(f341(f3(x68501),x68504),x68503)),f341(f341(f3(x68501),f341(f341(f192(x68501),x68502),x68504)),x68503)) % 197.39/197.42 [6851]~P101(x68511)+E(f341(f341(f192(x68511),f341(f341(f246(x68511),x68512),x68513)),f341(f341(f246(x68511),x68514),x68513)),f341(f341(f246(x68511),f341(f341(f192(x68511),x68512),x68514)),x68513)) % 197.39/197.42 [6852]~P101(x68521)+E(f341(f341(f246(x68521),f341(f341(f192(x68521),x68522),x68523)),f341(f341(f192(x68521),x68524),x68523)),f341(f341(f192(x68521),f341(f341(f246(x68521),x68522),x68524)),x68523)) % 197.39/197.42 [6853]~P118(x68531)+E(f341(f341(f91(x68531),f341(f341(f298(x68531),x68532),x68533)),f341(f341(f298(x68531),x68534),x68533)),f341(f341(f298(x68531),f341(f341(f91(x68531),x68532),x68534)),x68533)) % 197.39/197.42 [6854]~P118(x68541)+E(f341(f341(f3(x68541),f341(f341(f298(x68541),x68542),x68543)),f341(f341(f298(x68541),x68544),x68543)),f341(f341(f298(x68541),f341(f341(f3(x68541),x68542),x68544)),x68543)) % 197.39/197.42 [6855]~P99(x68551)+E(f341(f341(f126(x68551),f341(f341(f125(x68551),x68552),x68553)),f341(f341(f125(x68551),x68554),x68553)),f341(f341(f125(x68551),f341(f341(f126(x68551),x68552),x68554)),x68553)) % 197.39/197.42 [6856]~P99(x68561)+E(f341(f341(f125(x68561),f341(f341(f126(x68561),x68562),x68563)),f341(f341(f126(x68561),x68564),x68563)),f341(f341(f126(x68561),f341(f341(f125(x68561),x68562),x68564)),x68563)) % 197.39/197.42 [6857]~P108(x68571)+E(f341(f341(f91(x68571),f341(f341(f92(x68571),x68572),x68573)),f341(f341(f92(x68571),x68574),x68573)),f341(f341(f92(x68571),f341(f341(f91(x68571),x68572),x68574)),x68573)) % 197.39/197.42 [6892]E(f341(f341(f164(x68921,x68922),x68923),x68924),x68922)+~P1(f341(f341(f241(a881),f341(f194(f883(x68921)),x68922)),x68923)) % 197.39/197.42 [6923]~P1(f341(x69233,x69234))+P1(f341(f341(f341(f125(f889(x69231,a874)),x69232),x69233),x69234)) % 197.39/197.42 [6925]~P1(f341(x69252,x69254))+P1(f341(f341(f341(f125(f889(x69251,a874)),x69252),x69253),x69254)) % 197.39/197.42 [6947]E(f341(f341(f169(x69471),f341(f341(f137(x69471),x69472),x69473)),x69474),f341(f341(f169(x69471),x69472),x69474))+~P1(f341(f341(f242(a881),x69474),f341(f194(f883(x69471)),x69472))) % 197.39/197.42 [6958]E(f341(f341(f3(f889(x69581,a874)),f341(f341(f318(x69581),x69582),x69583)),x69584),f341(f341(f3(f889(x69581,a874)),x69583),x69584))+~P1(f341(f341(f344(x69581),x69582),x69584)) % 197.39/197.42 [7001]~E(f144(a881,f341(f309(a881,x70011),x70012)),f341(f341(f156(a881),x70014),x70013))+E(f144(a881,f341(f309(a881,f341(f341(f91(a881),x70011),f89(a881))),x70012)),x70013) % 197.39/197.42 [7072]E(x70721,f2(a881))+E(f341(f341(f156(x70722),x70723),f341(f341(f177(x70722),f341(f341(f3(a881),x70721),f89(a881))),x70724)),f341(f341(f177(x70722),x70721),f341(f341(f156(x70722),x70723),x70724))) % 197.39/197.42 [7177]E(f341(f341(f169(x71771),x71772),f341(f341(f3(a881),x71773),f341(f194(f883(x71771)),x71774))),f341(f341(f169(x71771),f341(f341(f137(x71771),x71774),x71772)),x71773))+P1(f341(f341(f242(a881),x71773),f341(f194(f883(x71771)),x71774))) % 197.39/197.42 [7203]E(f341(f341(f126(f889(x72031,a874)),x72032),f341(f341(f318(x72031),x72033),x72034)),f341(f341(f318(x72031),x72033),f341(f341(f126(f889(x72031,a874)),x72032),x72034)))+~P1(f341(f341(f344(x72031),x72033),x72032)) % 197.39/197.42 [7233]E(f341(f341(f169(x72331),f341(f341(f164(x72331,x72332),x72333),x72334)),x72333),x72334)+~P1(f341(f341(f242(a881),x72333),f341(f194(f883(x72331)),x72332))) % 197.39/197.42 [7327]E(f341(f341(f3(f889(x73271,a874)),f341(f341(f318(x73271),x73272),x73273)),x73274),f341(f341(f318(x73271),x73272),f341(f341(f3(f889(x73271,a874)),x73273),x73274)))+P1(f341(f341(f344(x73271),x73272),x73274)) % 197.39/197.42 [7334]E(x73341,f193(f889(x73342,a874)))+E(f341(f341(f317(f888(x73343,x73342),x73343),f256(x73343,x73342)),f341(f341(f259(x73343,x73342),x73344),f341(f18(f889(x73342,a874),x73343),x73341))),x73344) % 197.39/197.42 [7335]E(x73351,f193(f889(x73352,a874)))+E(f341(f341(f317(f888(x73352,x73353),x73353),f261(x73352,x73353)),f341(f341(f259(x73352,x73353),x73351),f341(f18(f889(x73353,a874),x73352),x73354))),x73354) % 197.39/197.42 [7362]P1(f341(x73621,x73622))+P1(f341(f341(f341(f341(a201,f32(x73621,x73623)),x73622),x73624),x73622)) % 197.39/197.42 [7413]~E(x74134,f193(f889(x74132,a874)))+E(f341(f341(f317(f888(x74131,x74132),x74131),f256(x74131,x74132)),f341(f341(f259(x74131,x74132),x74133),f341(f18(f889(x74132,a874),x74131),x74134))),f193(f889(x74131,a874))) % 197.39/197.42 [7414]~E(x74143,f193(f889(x74141,a874)))+E(f341(f341(f317(f888(x74141,x74142),x74142),f261(x74141,x74142)),f341(f341(f259(x74141,x74142),x74143),f341(f18(f889(x74142,a874),x74141),x74144))),f193(f889(x74142,a874))) % 197.39/197.42 [7420]~P1(f341(f341(f344(x74201),x74202),x74204))+P1(f341(f341(f344(x74201),x74202),f341(f341(f125(f889(x74201,a874)),x74203),x74204))) % 197.39/197.42 [7423]~P1(f341(f341(f344(x74231),x74232),x74233))+P1(f341(f341(f344(x74231),x74232),f341(f341(f125(f889(x74231,a874)),x74233),x74234))) % 197.39/197.42 [7436]E(f341(f341(f126(f889(x74361,a874)),f341(f341(f318(x74361),x74362),x74363)),x74364),f341(f341(f318(x74361),x74362),f341(f341(f126(f889(x74361,a874)),x74363),x74364)))+~P1(f341(f341(f344(x74361),x74362),x74364)) % 197.39/197.42 [7714]P1(f341(x77141,x77142))+~P1(f341(f341(f341(f126(f889(x77143,a874)),x77144),x77141),x77142)) % 197.39/197.42 [7715]P1(f341(x77151,x77152))+~P1(f341(f341(f341(f126(f889(x77153,a874)),x77151),x77154),x77152)) % 197.39/197.42 [7716]E(f341(f341(f8(x77161,a881),x77162),f341(f341(f3(f889(x77161,a874)),x77163),f341(f341(f318(x77161),x77164),f193(f889(x77161,a874))))),f341(f341(f8(x77161,a881),x77162),x77163))+P1(f341(f341(f344(x77161),x77164),x77163)) % 197.39/197.42 [7723]~P70(x77231)+E(f341(f170(x77231),f341(f341(f159(a881,x77231),x77232),f144(a881,f341(f309(a881,x77233),x77234)))),f341(f341(f8(a881,x77231),x77232),f341(f176(a881),f144(a881,f341(f309(a881,x77233),x77234))))) % 197.39/197.42 [7724]~P70(x77241)+E(f341(f341(f8(a881,x77241),x77242),f341(f176(a881),f144(a881,f341(f309(a881,x77243),x77244)))),f341(f170(x77241),f341(f341(f159(a881,x77241),x77242),f144(a881,f341(f309(a881,x77243),x77244))))) % 197.39/197.42 [7829]~E(x78293,x78294)+P1(f341(f73(x78291,x78292,f341(f341(f318(x78291),x78293),f193(f889(x78291,a874)))),x78294)) % 197.39/197.42 [7922]P1(f341(f341(f344(x79221),x79222),f341(f176(x79221),x79223)))+~P1(f341(f341(f344(x79221),x79222),f341(f176(x79221),f341(f341(f177(x79221),x79224),x79223)))) % 197.39/197.42 [7923]P1(f341(f341(f344(x79231),x79232),f341(f176(x79231),x79233)))+~P1(f341(f341(f344(x79231),x79232),f341(f176(x79231),f341(f341(f143(x79231),x79234),x79233)))) % 197.39/197.42 [8000]P1(f341(f341(f344(x80001),x80002),x80003))+~P1(f341(f341(f344(x80001),x80002),f341(f341(f3(f889(x80001,a874)),x80003),x80004))) % 197.39/197.42 [8002]P1(f341(f341(f344(x80021),x80022),x80023))+~P1(f341(f341(f344(x80021),x80022),f341(f341(f126(f889(x80021,a874)),x80024),x80023))) % 197.39/197.42 [8005]P1(f341(f341(f344(x80051),x80052),x80053))+~P1(f341(f341(f344(x80051),x80052),f341(f341(f126(f889(x80051,a874)),x80053),x80054))) % 197.39/197.42 [8022]E(f341(f341(f137(x80221),f341(f341(f177(x80221),x80222),x80223)),f341(f341(f156(x80221),x80224),f341(f341(f143(x80221),f341(a128,x80222)),x80223))),f341(f341(f164(x80221,x80223),x80222),x80224))+~P1(f341(f341(f242(a881),x80222),f341(f194(f883(x80221)),x80223))) % 197.39/197.42 [8047]P1(f341(f341(f344(x80471),x80472),x80473))+~P1(f341(f341(f241(f889(x80471,a874)),f341(f341(f318(x80471),x80472),x80474)),x80473)) % 197.39/197.42 [8082]~P1(f341(f341(f344(x80821),x80822),x80823))+~P1(f341(f341(f344(x80821),x80822),f341(f341(f3(f889(x80821,a874)),x80824),x80823))) % 197.39/197.42 [8115]~P1(f341(f341(f242(a881),x81154),f341(f194(f883(x81151)),x81153)))+P1(f341(f341(f344(x81151),x81152),f341(f176(x81151),f341(f341(f164(x81151,x81153),x81154),x81152)))) % 197.39/197.42 [8171]E(f341(f341(f169(x81711),f341(f341(f143(x81711),x81712),x81713)),x81714),f341(f341(f169(x81711),x81713),f341(f341(f91(a881),x81712),x81714)))+~P1(f341(f341(f241(a881),f341(f341(f91(a881),x81712),x81714)),f341(f194(f883(x81711)),x81713))) % 197.39/197.42 [8184]~P2(x81842)+E(f341(f341(f8(x81841,x81842),f341(f341(f10(a881,x81842,x81841),f116(x81842)),x81843)),x81844),f341(f116(x81842),f341(f341(f8(x81841,a881),x81843),x81844))) % 197.39/197.42 [8185]~P113(x81852)+E(f341(f341(f8(x81851,x81852),f341(f341(f10(a1,x81852,x81851),f117(x81852)),x81853)),x81854),f341(f117(x81852),f341(f341(f8(x81851,a1),x81853),x81854))) % 197.39/197.42 [8236]~P66(x82362)+E(f341(f341(f11(x82361,x82362),f341(f341(f10(x82362,x82362,x82361),f85(x82362)),x82363)),x82364),f341(f85(x82362),f341(f341(f11(x82361,x82362),x82363),x82364))) % 197.39/197.42 [8237]~P60(x82372)+E(f341(f341(f8(x82371,x82372),f341(f341(f10(x82372,x82372,x82371),f90(x82372)),x82373)),x82374),f341(f90(x82372),f341(f341(f8(x82371,x82372),x82373),x82374))) % 197.39/197.42 [8238]E(f341(f341(f8(x82381,a881),x82382),f341(f341(f3(f889(x82381,a874)),x82383),f341(f341(f318(x82381),x82384),f193(f889(x82381,a874))))),f341(f341(f3(a881),f341(f341(f8(x82381,a881),x82382),x82383)),f341(x82382,x82384)))+~P1(f341(f341(f344(x82381),x82384),x82383)) % 197.39/197.42 [8251]P1(f341(f341(f241(f889(x82511,a874)),x82512),x82513))+~P1(f341(f341(f241(f889(x82511,a874)),f341(f341(f318(x82511),x82514),x82512)),x82513)) % 197.39/197.42 [8465]E(f341(a128,f435(x84651,x84652,x84653,x84654)),x84652)+~P1(f341(f341(f341(f341(a201,f341(a26,x84654)),x84653),x84652),x84651)) % 197.39/197.42 [8467]P34(x84671,x84672)+~P34(x84671,f341(f341(f318(f888(x84671,x84671)),f341(f341(f257(x84671,x84671),x84673),x84674)),x84672)) % 197.39/197.42 [8468]P56(x84681,x84682)+~P56(x84681,f341(f341(f318(f888(x84681,x84681)),f341(f341(f257(x84681,x84681),x84683),x84684)),x84682)) % 197.39/197.42 [8475]~P101(x84751)+E(f341(f341(f154(x84751,x84751,f7(x84751)),x84752),f341(f341(f154(x84751,x84751,f7(x84751)),x84753),x84754)),f341(f341(f154(x84751,x84751,f7(x84751)),x84753),f341(f341(f154(x84751,x84751,f7(x84751)),x84752),x84754))) % 197.39/197.42 [8482]E(x84821,x84822)+~P1(f341(f73(x84823,x84824,f341(f341(f318(x84823),x84821),f193(f889(x84823,a874)))),x84822)) % 197.39/197.42 [8494]E(f341(f341(f137(x84941),f341(f341(f177(x84941),x84942),x84943)),f341(f341(f177(x84941),x84944),f341(f341(f143(x84941),x84942),x84943))),f341(f341(f177(x84941),f341(f341(f91(a881),x84942),x84944)),x84943))+~P1(f341(f341(f241(a881),f341(f341(f91(a881),x84942),x84944)),f341(f194(f883(x84941)),x84943))) % 197.39/197.42 [8510]P1(f341(f72(x85101),x85102))+~E(x85102,f341(f341(f317(a881,x85101),x85103),f341(f267(a881),f341(f341(f9(a881,a881,a874),f242(a881)),x85104)))) % 197.39/197.42 [8561]~P85(x85611)+E(f341(f147(x85611,x85611,f91(x85611),f341(f341(f91(x85611),x85612),x85613)),x85614),f341(f341(f91(x85611),x85612),f341(f147(x85611,x85611,f91(x85611),x85613),x85614))) % 197.39/197.42 [8598]P1(f341(f341(f241(f889(x85981,a874)),f341(f272(x85981,x85982),x85983)),f341(f272(x85981,x85982),x85984)))+~P1(f341(f341(f241(f889(f888(x85981,x85982),a874)),x85983),x85984)) % 197.39/197.42 [8608]~P1(f341(f341(f241(a881),x86082),x86084))+P1(f341(f341(f241(f889(x86081,a874)),f341(f176(x86081),f341(f341(f177(x86081),x86082),x86083))),f341(f176(x86081),f341(f341(f177(x86081),x86084),x86083)))) % 197.39/197.42 [8609]~P1(f341(f341(f241(a881),x86094),x86092))+P1(f341(f341(f241(f889(x86091,a874)),f341(f176(x86091),f341(f341(f143(x86091),x86092),x86093))),f341(f176(x86091),f341(f341(f143(x86091),x86094),x86093)))) % 197.39/197.42 [8661]~P1(f341(f72(x86611),f341(f341(f3(f889(x86611,a874)),x86612),x86614)))+P1(f341(f72(x86611),f341(f341(f3(f889(x86611,a874)),x86612),f341(f341(f318(x86611),x86613),x86614)))) % 197.39/197.42 [8695]P1(f341(f341(f344(f888(x86951,x86951)),x86952),f315(x86951,x86953)))+~P1(f341(f341(f344(f888(x86951,x86951)),x86952),f341(f341(f186(f888(x86951,x86951),a874),x86954),x86953))) % 197.39/197.42 [8784]~P1(f341(f72(x87841),f341(f341(f3(f889(x87841,a874)),x87842),f341(f341(f318(x87841),x87844),x87843))))+P1(f341(f72(x87841),f341(f341(f3(f889(x87841,a874)),x87842),x87843))) % 197.39/197.42 [9000]~P101(x90001)+P1(f341(f341(f241(x90001),f341(f341(f192(x90001),x90002),f341(f341(f246(x90001),x90003),x90004))),f341(f341(f246(x90001),f341(f341(f192(x90001),x90002),x90003)),f341(f341(f192(x90001),x90002),x90004)))) % 197.39/197.42 [9001]~P95(x90011)+P1(f341(f341(f241(x90011),f341(f341(f125(x90011),x90012),f341(f341(f126(x90011),x90013),x90014))),f341(f341(f126(x90011),f341(f341(f125(x90011),x90012),x90013)),f341(f341(f125(x90011),x90012),x90014)))) % 197.39/197.42 [9138]E(x91381,x91382)+~P1(f341(f341(f344(f888(x91383,x91383)),f341(f341(f257(x91383,x91383),x91381),x91382)),f341(f176(f888(x91383,x91383)),f341(f341(f184(x91383,x91383),x91384),x91384)))) % 197.39/197.42 [9175]~P1(f341(f341(f344(f888(x91751,x91751)),f341(f341(f257(x91751,x91751),x91753),x91752)),f315(x91751,x91754)))+~P34(x91751,f341(f341(f318(f888(x91751,x91751)),f341(f341(f257(x91751,x91751),x91752),x91753)),x91754)) % 197.39/197.42 [9176]~P1(f341(f341(f344(f888(x91761,x91761)),f341(f341(f257(x91761,x91761),x91763),x91762)),f315(x91761,x91764)))+~P56(x91761,f341(f341(f318(f888(x91761,x91761)),f341(f341(f257(x91761,x91761),x91762),x91763)),x91764)) % 197.39/197.42 [9178]E(x91781,x91782)+E(f341(f141(x91783,f341(f341(f10(a874,a874,x91783),a336),f341(a338,x91781))),f341(f341(f156(x91783),x91782),x91784)),f341(f341(f156(x91783),x91782),f341(f141(x91783,f341(f341(f10(a874,a874,x91783),a336),f341(a338,x91781))),x91784))) % 197.39/197.42 [9190]~E(f341(f341(f317(x91902,x91901),x91903),f249(f889(x91902,a874))),f249(f889(x91901,a874)))+P1(f341(f341(f241(f889(x91901,a874)),f341(f90(f889(x91901,a874)),f341(f341(f317(x91902,x91901),x91903),x91904))),f341(f341(f317(x91902,x91901),x91903),f341(f90(f889(x91902,a874)),x91904)))) % 197.39/197.42 [9207]~P18(x92072,x92071,x92073,f249(f889(x92072,a874)))+P1(f341(f341(f241(f889(x92071,a874)),f341(f341(f317(x92072,x92071),x92073),f341(f90(f889(x92072,a874)),x92074))),f341(f90(f889(x92071,a874)),f341(f341(f317(x92072,x92071),x92073),x92074)))) % 197.39/197.42 [9220]~P101(x92201)+P1(f341(f341(f241(x92201),f341(f341(f192(x92201),f341(f341(f246(x92201),x92202),x92203)),f341(f341(f246(x92201),x92202),x92204))),f341(f341(f246(x92201),x92202),f341(f341(f192(x92201),x92203),x92204)))) % 197.39/197.42 [9221]~P95(x92211)+P1(f341(f341(f241(x92211),f341(f341(f125(x92211),f341(f341(f126(x92211),x92212),x92213)),f341(f341(f126(x92211),x92212),x92214))),f341(f341(f126(x92211),x92212),f341(f341(f125(x92211),x92213),x92214)))) % 197.39/197.42 [9365]P1(f341(f341(f341(f341(a201,f341(f239(a875),f341(a27,x93651))),x93652),f435(x93653,x93654,x93652,x93651)),x93653))+~P1(f341(f341(f341(f341(a201,f341(a26,x93651)),x93652),x93654),x93653)) % 197.39/197.42 [9607]P1(f341(f341(f344(f888(x96071,x96071)),f341(f341(f257(x96071,x96071),x96072),x96073)),f341(f293(x96071,x96071),f341(f341(f296(x96071,x96071,x96071),x96074),f315(x96071,x96074)))))+~P1(f341(f341(f344(f888(x96071,x96071)),f341(f341(f257(x96071,x96071),x96072),x96073)),f341(f341(f296(x96071,x96071,x96071),f341(f293(x96071,x96071),x96074)),f315(x96071,f341(f293(x96071,x96071),x96074))))) % 197.39/197.42 [9608]~P1(f341(f341(f344(f888(x96081,x96081)),f341(f341(f257(x96081,x96081),x96082),x96083)),f341(f293(x96081,x96081),f341(f341(f296(x96081,x96081,x96081),x96084),f315(x96081,x96084)))))+P1(f341(f341(f344(f888(x96081,x96081)),f341(f341(f257(x96081,x96081),x96082),x96083)),f341(f341(f296(x96081,x96081,x96081),f341(f293(x96081,x96081),x96084)),f315(x96081,f341(f293(x96081,x96081),x96084))))) % 197.39/197.42 [9634]~P1(f341(f341(f344(x96342),x96344),f341(f270(x96341,x96342),x96343)))+P1(f341(f341(f344(f888(x96341,x96342)),f341(f341(f257(x96341,x96342),f402(x96343,x96341,x96344,x96342)),x96344)),x96343)) % 197.39/197.42 [9635]~P1(f341(f341(f344(x96352),x96354),f341(f270(x96351,x96352),x96353)))+P1(f341(f341(f344(f888(x96351,x96352)),f341(f341(f257(x96351,x96352),f405(x96353,x96351,x96354,x96352)),x96354)),x96353)) % 197.39/197.42 [9654]~P1(f341(f341(f344(x96541),x96544),f341(f341(f125(f889(x96541,a874)),x96542),x96543)))+P1(f341(f341(f341(f125(f889(x96541,a874)),f341(f341(f9(x96541,f889(x96541,a874),a874),f344(x96541)),x96542)),f341(f341(f9(x96541,f889(x96541,a874),a874),f344(x96541)),x96543)),x96544)) % 197.39/197.42 [9655]~P1(f341(f341(f344(x96551),x96554),f341(f341(f126(f889(x96551,a874)),x96552),x96553)))+P1(f341(f341(f341(f126(f889(x96551,a874)),f341(f341(f9(x96551,f889(x96551,a874),a874),f344(x96551)),x96552)),f341(f341(f9(x96551,f889(x96551,a874),a874),f344(x96551)),x96553)),x96554)) % 197.39/197.42 [9767]P1(f341(f341(f344(x97671),x97672),f341(f341(f125(f889(x97671,a874)),x97673),x97674)))+~P1(f341(f341(f341(f125(f889(x97671,a874)),f341(f341(f9(x97671,f889(x97671,a874),a874),f344(x97671)),x97673)),f341(f341(f9(x97671,f889(x97671,a874),a874),f344(x97671)),x97674)),x97672)) % 197.39/197.42 [9768]P1(f341(f341(f344(x97681),x97682),f341(f341(f126(f889(x97681,a874)),x97683),x97684)))+~P1(f341(f341(f341(f126(f889(x97681,a874)),f341(f341(f9(x97681,f889(x97681,a874),a874),f344(x97681)),x97683)),f341(f341(f9(x97681,f889(x97681,a874),a874),f344(x97681)),x97684)),x97682)) % 197.39/197.42 [10079]P49(x100791,x100792,f341(f341(f9(x100791,f889(f888(x100791,x100792),a874),f889(x100792,a874)),f341(f341(f10(f889(x100792,f889(f889(f888(x100791,x100792),a874),a874)),f889(f889(f888(x100791,x100792),a874),f889(x100792,a874)),x100791),f9(x100792,f889(f888(x100791,x100792),a874),a874)),f341(f341(f10(f889(x100792,f888(x100791,x100792)),f889(x100792,f889(f889(f888(x100791,x100792),a874),a874)),x100791),f341(f10(f888(x100791,x100792),f889(f889(f888(x100791,x100792),a874),a874),x100792),f344(f888(x100791,x100792)))),f257(x100791,x100792)))),x100793),x100794)+~P1(f341(f341(f344(x100792),x100794),f341(f270(x100791,x100792),x100793))) % 197.39/197.42 [10080]P50(x100801,x100802,f341(f341(f9(x100801,f889(f888(x100801,x100802),a874),f889(x100802,a874)),f341(f341(f10(f889(x100802,f889(f889(f888(x100801,x100802),a874),a874)),f889(f889(f888(x100801,x100802),a874),f889(x100802,a874)),x100801),f9(x100802,f889(f888(x100801,x100802),a874),a874)),f341(f341(f10(f889(x100802,f888(x100801,x100802)),f889(x100802,f889(f889(f888(x100801,x100802),a874),a874)),x100801),f341(f10(f888(x100801,x100802),f889(f889(f888(x100801,x100802),a874),a874),x100802),f344(f888(x100801,x100802)))),f257(x100801,x100802)))),x100803),x100804)+~P1(f341(f341(f344(x100801),x100804),f341(f272(x100801,x100802),x100803))) % 197.39/197.42 [10083]P30(x100831,f341(f341(f9(x100831,f889(f888(x100831,x100831),a874),f889(x100831,a874)),f341(f341(f10(f889(x100831,f889(f889(f888(x100831,x100831),a874),a874)),f889(f889(f888(x100831,x100831),a874),f889(x100831,a874)),x100831),f9(x100831,f889(f888(x100831,x100831),a874),a874)),f341(f341(f10(f889(x100831,f888(x100831,x100831)),f889(x100831,f889(f889(f888(x100831,x100831),a874),a874)),x100831),f341(f10(f888(x100831,x100831),f889(f889(f888(x100831,x100831),a874),a874),x100831),f344(f888(x100831,x100831)))),f257(x100831,x100831)))),x100832),x100833,x100834)+~P1(f341(f341(f344(f888(f883(x100831),f883(x100831))),f341(f341(f257(f883(x100831),f883(x100831)),x100833),x100834)),f163(x100831,x100832))) % 197.39/197.42 [10088]P57(x100881,f341(f341(f9(x100881,f889(f888(x100881,x100881),a874),f889(x100881,a874)),f341(f341(f10(f889(x100881,f889(f889(f888(x100881,x100881),a874),a874)),f889(f889(f888(x100881,x100881),a874),f889(x100881,a874)),x100881),f9(x100881,f889(f888(x100881,x100881),a874),a874)),f341(f341(f10(f889(x100881,f888(x100881,x100881)),f889(x100881,f889(f889(f888(x100881,x100881),a874),a874)),x100881),f341(f10(f888(x100881,x100881),f889(f889(f888(x100881,x100881),a874),a874),x100881),f344(f888(x100881,x100881)))),f257(x100881,x100881)))),x100882),x100883,x100884)+~P1(f341(f341(f344(f888(f889(x100881,a874),f889(x100881,a874))),f341(f341(f257(f889(x100881,a874),f889(x100881,a874)),x100883),x100884)),f332(x100881,x100882))) % 197.39/197.42 [10123]E(x101231,x101232)+~E(f341(f341(f9(x101233,f889(f888(x101233,x101234),a874),f889(x101234,a874)),f341(f341(f10(f889(x101234,f889(f889(f888(x101233,x101234),a874),a874)),f889(f889(f888(x101233,x101234),a874),f889(x101234,a874)),x101233),f9(x101234,f889(f888(x101233,x101234),a874),a874)),f341(f341(f10(f889(x101234,f888(x101233,x101234)),f889(x101234,f889(f889(f888(x101233,x101234),a874),a874)),x101233),f341(f10(f888(x101233,x101234),f889(f889(f888(x101233,x101234),a874),a874),x101234),f344(f888(x101233,x101234)))),f257(x101233,x101234)))),x101231),f341(f341(f9(x101233,f889(f888(x101233,x101234),a874),f889(x101234,a874)),f341(f341(f10(f889(x101234,f889(f889(f888(x101233,x101234),a874),a874)),f889(f889(f888(x101233,x101234),a874),f889(x101234,a874)),x101233),f9(x101234,f889(f888(x101233,x101234),a874),a874)),f341(f341(f10(f889(x101234,f888(x101233,x101234)),f889(x101234,f889(f889(f888(x101233,x101234),a874),a874)),x101233),f341(f10(f888(x101233,x101234),f889(f889(f888(x101233,x101234),a874),a874),x101234),f344(f888(x101233,x101234)))),f257(x101233,x101234)))),x101232)) % 197.39/197.42 [10126]~P49(x101263,x101261,f341(f341(f9(x101263,f889(f888(x101263,x101261),a874),f889(x101261,a874)),f341(f341(f10(f889(x101261,f889(f889(f888(x101263,x101261),a874),a874)),f889(f889(f888(x101263,x101261),a874),f889(x101261,a874)),x101263),f9(x101261,f889(f888(x101263,x101261),a874),a874)),f341(f341(f10(f889(x101261,f888(x101263,x101261)),f889(x101261,f889(f889(f888(x101263,x101261),a874),a874)),x101263),f341(f10(f888(x101263,x101261),f889(f889(f888(x101263,x101261),a874),a874),x101261),f344(f888(x101263,x101261)))),f257(x101263,x101261)))),x101264),x101262)+P1(f341(f341(f344(x101261),x101262),f341(f270(x101263,x101261),x101264))) % 197.39/197.42 [10127]~P50(x101271,x101273,f341(f341(f9(x101271,f889(f888(x101271,x101273),a874),f889(x101273,a874)),f341(f341(f10(f889(x101273,f889(f889(f888(x101271,x101273),a874),a874)),f889(f889(f888(x101271,x101273),a874),f889(x101273,a874)),x101271),f9(x101273,f889(f888(x101271,x101273),a874),a874)),f341(f341(f10(f889(x101273,f888(x101271,x101273)),f889(x101273,f889(f889(f888(x101271,x101273),a874),a874)),x101271),f341(f10(f888(x101271,x101273),f889(f889(f888(x101271,x101273),a874),a874),x101273),f344(f888(x101271,x101273)))),f257(x101271,x101273)))),x101274),x101272)+P1(f341(f341(f344(x101271),x101272),f341(f272(x101271,x101273),x101274))) % 197.39/197.42 [10129]~P30(x101291,f341(f341(f9(x101291,f889(f888(x101291,x101291),a874),f889(x101291,a874)),f341(f341(f10(f889(x101291,f889(f889(f888(x101291,x101291),a874),a874)),f889(f889(f888(x101291,x101291),a874),f889(x101291,a874)),x101291),f9(x101291,f889(f888(x101291,x101291),a874),a874)),f341(f341(f10(f889(x101291,f888(x101291,x101291)),f889(x101291,f889(f889(f888(x101291,x101291),a874),a874)),x101291),f341(f10(f888(x101291,x101291),f889(f889(f888(x101291,x101291),a874),a874),x101291),f344(f888(x101291,x101291)))),f257(x101291,x101291)))),x101294),x101292,x101293)+P1(f341(f341(f344(f888(f883(x101291),f883(x101291))),f341(f341(f257(f883(x101291),f883(x101291)),x101292),x101293)),f163(x101291,x101294))) % 197.39/197.42 [10130]~P57(x101301,f341(f341(f9(x101301,f889(f888(x101301,x101301),a874),f889(x101301,a874)),f341(f341(f10(f889(x101301,f889(f889(f888(x101301,x101301),a874),a874)),f889(f889(f888(x101301,x101301),a874),f889(x101301,a874)),x101301),f9(x101301,f889(f888(x101301,x101301),a874),a874)),f341(f341(f10(f889(x101301,f888(x101301,x101301)),f889(x101301,f889(f889(f888(x101301,x101301),a874),a874)),x101301),f341(f10(f888(x101301,x101301),f889(f889(f888(x101301,x101301),a874),a874),x101301),f344(f888(x101301,x101301)))),f257(x101301,x101301)))),x101304),x101302,x101303)+P1(f341(f341(f344(f888(f889(x101301,a874),f889(x101301,a874))),f341(f341(f257(f889(x101301,a874),f889(x101301,a874)),x101302),x101303)),f332(x101301,x101304))) % 197.39/197.42 [7487]~P89(x74871)+E(f341(f341(f91(x74871),f341(f118(x74871),x74872)),f341(f341(f91(x74871),f341(f118(x74871),x74873)),x74874)),f341(f341(f91(x74871),f341(f118(x74871),f341(f341(f91(a1),x74872),x74873))),x74874)) % 197.39/197.42 [7488]~P89(x74881)+E(f341(f341(f91(x74881),f341(f118(x74881),x74882)),f341(f341(f3(x74881),f341(f118(x74881),x74883)),x74884)),f341(f341(f3(x74881),f341(f118(x74881),f341(f341(f91(a1),x74882),x74883))),x74884)) % 197.39/197.42 [7489]~P89(x74891)+E(f341(f341(f92(x74891),f341(f118(x74891),x74892)),f341(f341(f92(x74891),f341(f118(x74891),x74893)),x74894)),f341(f341(f92(x74891),f341(f118(x74891),f341(f341(f92(a1),x74892),x74893))),x74894)) % 197.39/197.42 [7533]~P2(x75331)+E(f341(f170(x75331),f341(f341(f159(x75332,x75331),f341(f18(x75331,x75332),x75333)),x75334)),f341(f341(f92(x75331),f341(f116(x75331),f341(f194(f883(x75332)),x75334))),x75333)) % 197.39/197.42 [7767]E(f341(f280(x77671,f341(f341(f156(f888(a115,x77671)),x77672),x77673)),x77674),f341(f261(a115,x77671),x77672))+~P1(f341(f341(f242(a115),x77674),f341(f256(a115,x77671),x77672))) % 197.39/197.42 [7809]~P89(x78091)+E(f341(f341(f91(x78091),f341(f118(x78091),x78092)),f341(f341(f3(x78091),x78093),f341(f118(x78091),x78094))),f341(f341(f91(x78091),f341(f118(x78091),f341(f341(f91(a1),x78092),f341(f90(a1),x78094)))),x78093)) % 197.39/197.42 [7936]E(f341(f280(x79361,x79362),f341(f341(f3(a115),x79363),f341(f256(a115,x79361),x79364))),f341(f280(x79361,f341(f341(f156(f888(a115,x79361)),x79364),x79362)),x79363))+P1(f341(f341(f242(a115),x79363),f341(f256(a115,x79361),x79364))) % 197.39/197.42 [8376]~P1(f341(f341(f344(x83761),x83762),f341(f176(x83761),f130(x83761,x83764))))+P1(f341(f341(f344(x83761),x83762),f341(f176(x83761),f130(x83761,f341(f341(f137(x83761),x83763),x83764))))) % 197.39/197.42 [8377]~P1(f341(f341(f344(x83771),x83772),f341(f176(x83771),f130(x83771,x83773))))+P1(f341(f341(f344(x83771),x83772),f341(f176(x83771),f130(x83771,f341(f341(f137(x83771),x83773),x83774))))) % 197.39/197.42 [8399]E(f341(f341(f125(f889(x83991,a874)),f341(f341(f126(f889(x83991,a874)),x83992),x83993)),x83994),f341(f341(f126(f889(x83991,a874)),x83992),f341(f341(f125(f889(x83991,a874)),x83993),x83994)))+~P1(f341(f341(f241(f889(x83991,a874)),x83994),x83992)) % 197.39/197.42 [8710]~E(f341(f341(f125(f889(x87101,a874)),f341(f341(f126(f889(x87101,a874)),x87103),x87104)),x87102),f341(f341(f126(f889(x87101,a874)),x87103),f341(f341(f125(f889(x87101,a874)),x87104),x87102)))+P1(f341(f341(f241(f889(x87101,a874)),x87102),x87103)) % 197.39/197.42 [8993]~P60(x89931)+E(f341(f170(x89931),f341(f341(f159(x89932,x89931),f341(f341(f82(x89931,x89931,x89932),f90(x89931)),x89933)),x89934)),f341(f90(x89931),f341(f170(x89931),f341(f341(f159(x89932,x89931),x89933),x89934)))) % 197.39/197.42 [9005]~P1(f341(f341(f241(f889(x90051,a874)),x90052),f341(f341(f125(f889(x90051,a874)),x90053),x90054)))+P1(f341(f341(f241(f889(x90051,a874)),f341(f341(f3(f889(x90051,a874)),x90052),x90053)),x90054)) % 197.39/197.42 [9061]~P1(f341(f341(f341(f341(a201,f341(a26,x90611)),x90612),f341(a128,x90613)),x90614))+P1(f341(f341(f341(f341(a201,f341(f239(a875),f341(a27,x90611))),x90612),x90613),x90614)) % 197.39/197.42 [9116]P1(f341(f341(f241(f889(x91161,a874)),x91162),f341(f341(f125(f889(x91161,a874)),x91163),x91164)))+~P1(f341(f341(f241(f889(x91161,a874)),f341(f341(f3(f889(x91161,a874)),x91162),x91163)),x91164)) % 197.39/197.42 [9174]P1(f341(f341(f341(f341(a201,f341(a26,x91741)),x91742),f341(a128,x91743)),x91744))+~P1(f341(f341(f341(f341(a201,f341(f239(a875),f341(a27,x91741))),x91742),x91743),x91744)) % 197.39/197.42 [9201]~P81(x92011)+E(f341(f85(x92011),f341(f341(f8(x92012,x92011),f341(f341(f10(x92011,x92011,x92012),f85(x92011)),x92013)),x92014)),f341(f341(f8(x92012,x92011),f341(f341(f10(x92011,x92011,x92012),f85(x92011)),x92013)),x92014)) % 197.39/197.42 [9363]~P81(x93631)+P1(f341(f341(f241(x93631),f2(x93631)),f341(f341(f8(x93632,x93631),f341(f341(f10(x93631,x93631,x93632),f85(x93631)),x93633)),x93634))) % 197.39/197.42 [9509]~P81(x95091)+P1(f341(f341(f241(x95091),f341(f85(x95091),f341(f341(f8(x95092,x95091),x95093),x95094))),f341(f341(f8(x95092,x95091),f341(f341(f10(x95091,x95091,x95092),f85(x95091)),x95093)),x95094))) % 197.39/197.42 [9541]~E(f341(f341(f91(a881),x95411),x95414),f341(f341(f91(a881),x95413),x95412))+P1(f341(f341(f344(f888(f888(a881,a881),f888(a881,a881))),f341(f341(f257(f888(a881,a881),f888(a881,a881)),f341(f341(f257(a881,a881),x95411),x95412)),f341(f341(f257(a881,a881),x95413),x95414))),a123)) % 197.39/197.42 [9542]~P1(f341(f341(f242(a881),x95421),x95423))+P1(f341(f341(f344(f888(f888(a881,a881),f888(a881,a881))),f341(f341(f257(f888(a881,a881),f888(a881,a881)),f341(f341(f257(a881,a881),x95421),x95422)),f341(f341(f257(a881,a881),x95423),x95424))),a35)) % 197.39/197.42 [9543]~P1(f341(f341(f242(a881),x95431),x95433))+P1(f341(f341(f344(f888(f888(a881,a881),f888(a881,a881))),f341(f341(f257(f888(a881,a881),f888(a881,a881)),f341(f341(f257(a881,a881),x95431),x95432)),f341(f341(f257(a881,a881),x95433),x95434))),a80)) % 197.39/197.42 [9681]E(f341(f341(f91(a881),x96811),x96812),f341(f341(f91(a881),x96813),x96814))+~P1(f341(f341(f344(f888(f888(a881,a881),f888(a881,a881))),f341(f341(f257(f888(a881,a881),f888(a881,a881)),f341(f341(f257(a881,a881),x96811),x96814)),f341(f341(f257(a881,a881),x96813),x96812))),a123)) % 197.39/197.42 [9702]E(f341(f341(f169(x97021),f341(f341(f143(x97021),f341(f194(f883(x97021)),f180(x97021,x97022,x97023))),x97023)),x97024),f341(f341(f169(x97021),x97023),f341(f341(f91(a881),x97024),f341(f194(f883(x97021)),f180(x97021,x97022,x97023)))))+~P1(f341(f341(f242(a881),x97024),f341(f194(f883(x97021)),f341(f341(f143(x97021),f341(f194(f883(x97021)),f180(x97021,x97022,x97023))),x97023)))) % 197.39/197.42 [9725]~P1(f341(f341(f344(x97252),x97254),f341(f341(f42(x97251,f889(x97252,a874)),f249(f889(x97251,a874))),x97253)))+P1(f341(f341(f341(f42(x97251,f889(x97252,a874)),f249(f889(x97251,a874))),f341(f341(f10(f889(x97252,a874),f889(x97252,a874),x97251),f341(f9(x97252,f889(x97252,a874),a874),f344(x97252))),x97253)),x97254)) % 197.39/197.42 [9726]~P1(f341(f341(f344(x97262),x97264),f341(f341(f43(x97261,f889(x97262,a874)),f249(f889(x97261,a874))),x97263)))+P1(f341(f341(f341(f43(x97261,f889(x97262,a874)),f249(f889(x97261,a874))),f341(f341(f10(f889(x97262,a874),f889(x97262,a874),x97261),f341(f9(x97262,f889(x97262,a874),a874),f344(x97262))),x97263)),x97264)) % 197.39/197.42 [9791]~P1(f341(f61(x97911,x97912),f341(f341(f257(a1,a1),x97914),x97913)))+P1(f341(f61(f341(f90(a1),x97911),x97912),f341(f341(f257(a1,a1),f341(f341(f341(f111(a1),f341(f341(a338,x97913),f2(a1))),f341(f90(a1),x97914)),f341(f341(f3(a1),f341(f90(a1),x97914)),f89(a1)))),f341(f341(f341(f111(a1),f341(f341(a338,x97913),f2(a1))),f2(a1)),f341(f341(f3(a1),x97912),x97913))))) % 197.39/197.42 [9801]P1(f341(f341(f344(x98011),x98012),f341(f341(f42(x98013,f889(x98011,a874)),f249(f889(x98013,a874))),x98014)))+~P1(f341(f341(f341(f42(x98013,f889(x98011,a874)),f249(f889(x98013,a874))),f341(f341(f10(f889(x98011,a874),f889(x98011,a874),x98013),f341(f9(x98011,f889(x98011,a874),a874),f344(x98011))),x98014)),x98012)) % 197.39/197.42 [9802]P1(f341(f341(f344(x98021),x98022),f341(f341(f43(x98023,f889(x98021,a874)),f249(f889(x98023,a874))),x98024)))+~P1(f341(f341(f341(f43(x98023,f889(x98021,a874)),f249(f889(x98023,a874))),f341(f341(f10(f889(x98021,a874),f889(x98021,a874),x98023),f341(f9(x98021,f889(x98021,a874),a874),f344(x98021))),x98024)),x98022)) % 197.39/197.42 [9813]E(f341(f341(f42(a881,f889(x98131,a874)),f249(f889(a881,a874))),x98132),f341(f341(f42(a881,f889(x98131,a874)),f249(f889(a881,a874))),x98133))+~E(f341(f341(f42(a881,f889(x98131,a874)),f341(f309(a881,f2(a881)),f739(x98132,x98134,x98133,x98131))),x98133),f341(f341(f42(a881,f889(x98131,a874)),f341(f309(a881,f2(a881)),f341(f341(f91(a881),f739(x98132,x98134,x98133,x98131)),x98134))),x98132)) % 197.39/197.42 [10201]~P1(f341(f341(f241(f889(f888(x102011,x102012),a874)),x102013),x102014))+P1(f341(f341(f241(f889(x102011,f889(x102012,a874))),f341(f341(f9(x102011,f889(f888(x102011,x102012),a874),f889(x102012,a874)),f341(f341(f10(f889(x102012,f889(f889(f888(x102011,x102012),a874),a874)),f889(f889(f888(x102011,x102012),a874),f889(x102012,a874)),x102011),f9(x102012,f889(f888(x102011,x102012),a874),a874)),f341(f341(f10(f889(x102012,f888(x102011,x102012)),f889(x102012,f889(f889(f888(x102011,x102012),a874),a874)),x102011),f341(f10(f888(x102011,x102012),f889(f889(f888(x102011,x102012),a874),a874),x102012),f344(f888(x102011,x102012)))),f257(x102011,x102012)))),x102013)),f341(f341(f9(x102011,f889(f888(x102011,x102012),a874),f889(x102012,a874)),f341(f341(f10(f889(x102012,f889(f889(f888(x102011,x102012),a874),a874)),f889(f889(f888(x102011,x102012),a874),f889(x102012,a874)),x102011),f9(x102012,f889(f888(x102011,x102012),a874),a874)),f341(f341(f10(f889(x102012,f888(x102011,x102012)),f889(x102012,f889(f889(f888(x102011,x102012),a874),a874)),x102011),f341(f10(f888(x102011,x102012),f889(f889(f888(x102011,x102012),a874),a874),x102012),f344(f888(x102011,x102012)))),f257(x102011,x102012)))),x102014))) % 197.39/197.42 [10213]P1(f341(f341(f241(f889(f888(x102131,x102132),a874)),x102133),x102134))+~P1(f341(f341(f241(f889(x102131,f889(x102132,a874))),f341(f341(f9(x102131,f889(f888(x102131,x102132),a874),f889(x102132,a874)),f341(f341(f10(f889(x102132,f889(f889(f888(x102131,x102132),a874),a874)),f889(f889(f888(x102131,x102132),a874),f889(x102132,a874)),x102131),f9(x102132,f889(f888(x102131,x102132),a874),a874)),f341(f341(f10(f889(x102132,f888(x102131,x102132)),f889(x102132,f889(f889(f888(x102131,x102132),a874),a874)),x102131),f341(f10(f888(x102131,x102132),f889(f889(f888(x102131,x102132),a874),a874),x102132),f344(f888(x102131,x102132)))),f257(x102131,x102132)))),x102133)),f341(f341(f9(x102131,f889(f888(x102131,x102132),a874),f889(x102132,a874)),f341(f341(f10(f889(x102132,f889(f889(f888(x102131,x102132),a874),a874)),f889(f889(f888(x102131,x102132),a874),f889(x102132,a874)),x102131),f9(x102132,f889(f888(x102131,x102132),a874),a874)),f341(f341(f10(f889(x102132,f888(x102131,x102132)),f889(x102132,f889(f889(f888(x102131,x102132),a874),a874)),x102131),f341(f10(f888(x102131,x102132),f889(f889(f888(x102131,x102132),a874),a874),x102132),f344(f888(x102131,x102132)))),f257(x102131,x102132)))),x102134))) % 197.39/197.42 [9253]~P1(f341(f341(f344(f888(x92531,x92531)),x92532),f315(x92531,x92534)))+P1(f341(f341(f344(f888(x92531,x92531)),x92532),f315(x92531,f341(f341(f125(f889(f888(x92531,x92531),a874)),x92533),x92534)))) % 197.39/197.42 [9254]~P1(f341(f341(f344(f888(x92541,x92541)),x92542),f315(x92541,x92543)))+P1(f341(f341(f344(f888(x92541,x92541)),x92542),f315(x92541,f341(f341(f125(f889(f888(x92541,x92541),a874)),x92543),x92544)))) % 197.39/197.42 [9897]~P1(f341(f341(f242(a881),f341(f341(f91(a881),x98971),x98974)),f341(f341(f91(a881),x98973),x98972)))+P1(f341(f341(f242(a1),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x98971),x98972)),f193(f889(f888(a881,a881),a874)))))),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x98973),x98974)),f193(f889(f888(a881,a881),a874))))))) % 197.39/197.42 [9898]~P1(f341(f341(f241(a881),f341(f341(f91(a881),x98981),x98984)),f341(f341(f91(a881),x98983),x98982)))+P1(f341(f341(f241(a1),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x98981),x98982)),f193(f889(f888(a881,a881),a874)))))),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x98983),x98984)),f193(f889(f888(a881,a881),a874))))))) % 197.39/197.42 [9984]P1(f341(f341(f242(a881),f341(f341(f91(a881),x99841),x99842)),f341(f341(f91(a881),x99843),x99844)))+~P1(f341(f341(f242(a1),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x99841),x99844)),f193(f889(f888(a881,a881),a874)))))),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x99843),x99842)),f193(f889(f888(a881,a881),a874))))))) % 197.39/197.42 [9985]P1(f341(f341(f241(a881),f341(f341(f91(a881),x99851),x99852)),f341(f341(f91(a881),x99853),x99854)))+~P1(f341(f341(f241(a1),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x99851),x99854)),f193(f889(f888(a881,a881),a874)))))),f341(a101,f341(f292(f888(a881,a881),f888(a881,a881),a123),f341(f341(f318(f888(a881,a881)),f341(f341(f257(a881,a881),x99853),x99852)),f193(f889(f888(a881,a881),a874))))))) % 197.39/197.42 [10058]P1(f341(f341(f241(f889(x100581,a874)),f341(f341(f42(a881,f889(x100581,a874)),f249(f889(a881,a874))),x100582)),f341(f341(f42(a881,f889(x100581,a874)),f249(f889(a881,a874))),x100583)))+~P1(f341(f341(f241(f889(x100581,a874)),f341(f341(f42(a881,f889(x100581,a874)),f341(f309(a881,f2(a881)),f722(x100583,x100584,x100582,x100581))),x100582)),f341(f341(f42(a881,f889(x100581,a874)),f341(f309(a881,f2(a881)),f341(f341(f91(a881),f722(x100583,x100584,x100582,x100581)),x100584))),x100583))) % 197.39/197.42 [10073]~E(f341(f341(f341(f187(f887(x100731,a881)),f341(f323(a881,x100731),f341(a128,x100734))),x100732),x100733),f341(f323(a881,x100731),f2(a881)))+P1(f341(f341(f241(a881),f341(a128,f341(f243(a881),f341(f341(f9(a881,f887(x100731,a881),a874),f341(f341(f10(f887(x100731,a881),f889(f887(x100731,a881),a874),a881),a338),x100732)),f341(f323(a881,x100731),f2(a881)))))),x100733)) % 197.39/197.42 [10134]P1(f341(f341(f241(a115),x101344),f2(a115)))+E(f341(f341(f264(f888(a115,a115),f888(x101341,f889(a884,a337)),f888(a115,a115),f888(f889(a115,f889(a874,f885(f882(x101341)))),f888(a115,a115))),f341(x101342,x101343)),f341(f341(f10(f889(f889(a115,f889(a874,f885(f882(x101341)))),f889(f888(a115,a115),f888(f889(a115,f889(a874,f885(f882(x101341)))),f888(a115,a115)))),f889(f888(a115,a115),f888(f889(a115,f889(a874,f885(f882(x101341)))),f888(a115,a115))),f888(x101341,f889(a884,a337))),f341(f264(f888(a115,a115),f889(a115,f889(a874,f885(f882(x101341)))),f888(a115,a115),f888(f889(a115,f889(a874,f885(f882(x101341)))),f888(a115,a115))),f287(x101341,x101342,f341(f341(f3(a115),x101344),f89(a115)),x101343))),f341(f341(f10(f889(f889(a115,f889(a874,f885(f882(x101341)))),f889(a115,f889(a874,f885(f882(x101341))))),f889(f889(a115,f889(a874,f885(f882(x101341)))),f889(f888(a115,a115),f888(f889(a115,f889(a874,f885(f882(x101341)))),f888(a115,a115)))),f888(x101341,f889(a884,a337))),f341(f10(f889(a115,f889(a874,f885(f882(x101341)))),f889(f888(a115,a115),f888(f889(a115,f889(a874,f885(f882(x101341)))),f888(a115,a115))),f889(a115,f889(a874,f885(f882(x101341))))),f257(f889(a115,f889(a874,f885(f882(x101341)))),f888(a115,a115)))),f341(f341(f10(f889(a115,f889(a874,f885(f882(x101341)))),f889(f889(a115,f889(a874,f885(f882(x101341)))),f889(a115,f889(a874,f885(f882(x101341))))),f888(x101341,f889(a884,a337))),f46(x101341)),f341(f341(f10(x101341,f889(a115,f889(a874,f885(f882(x101341)))),f888(x101341,f889(a884,a337))),f45(x101341)),f256(x101341,f889(a884,a337))))))),f287(x101341,x101342,x101344,x101343)) % 197.39/197.42 [9821]P1(f341(f165(x98211,x98212),x98213))+~P1(f341(f165(x98211,f341(f341(f20(x98211,a874,a874),f341(f341(f10(a874,f889(a874,a874),x98211),a339),x98214)),x98212)),x98213)) % 197.39/197.42 [9822]P1(f341(f165(x98221,x98222),x98223))+~P1(f341(f165(x98221,f341(f341(f20(x98221,a874,a874),f341(f341(f10(a874,f889(a874,a874),x98221),a339),x98222)),x98224)),x98223)) % 197.39/197.42 [9911]~P108(x99111)+E(f341(f341(f92(x99111),f341(f341(f91(x99111),f89(x99111)),f89(x99111))),f341(f341(f8(a881,x99111),f341(f341(f10(x99111,x99111,a881),f341(f91(x99111),x99112)),f341(f341(f9(a881,x99111,x99111),f341(f341(f10(x99111,f889(x99111,x99111),a881),f92(x99111)),f116(x99111))),x99113))),f341(f268(a881),x99114))),f341(f341(f92(x99111),f341(f116(x99111),x99114)),f341(f341(f91(x99111),x99112),f341(f341(f91(x99111),x99112),f341(f341(f92(x99111),f341(f116(x99111),f341(f341(f3(a881),x99114),f89(a881)))),x99113))))) % 197.39/197.42 [10091]P1(f341(x100911,f454(x100912,x100913,x100914,x100911)))+P34(x100912,f341(f267(f888(x100912,x100912)),f341(f262(x100912,x100912,a874),f341(f341(f10(f889(x100912,a874),f889(x100912,a874),x100912),f341(f20(x100912,a874,a874),f341(f341(f10(a874,f889(a874,a874),x100912),a339),x100911))),f341(f341(f9(x100912,f889(x100912,x100912),f889(x100912,a874)),f341(f341(f10(f889(x100912,a874),f889(f889(x100912,x100912),f889(x100912,a874)),x100912),f10(x100912,a874,x100912)),a338)),x100913))))) % 197.39/197.42 [10104]~P1(f341(f341(f242(a881),f341(x101044,f341(x101043,f454(x101041,x101043,x101044,x101042)))),f341(x101044,f454(x101041,x101043,x101044,x101042))))+P34(x101041,f341(f267(f888(x101041,x101041)),f341(f262(x101041,x101041,a874),f341(f341(f10(f889(x101041,a874),f889(x101041,a874),x101041),f341(f20(x101041,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101041),a339),x101042))),f341(f341(f9(x101041,f889(x101041,x101041),f889(x101041,a874)),f341(f341(f10(f889(x101041,a874),f889(f889(x101041,x101041),f889(x101041,a874)),x101041),f10(x101041,a874,x101041)),a338)),x101043))))) % 197.39/197.42 [10179]~P8(x101791)+E(f39(x101791,f341(f267(x101791),f341(f341(f10(f889(f889(x101792,x101791),a874),a874,x101791),f98(f889(x101792,x101791))),f341(f341(f10(f889(f889(x101792,x101791),a874),f889(f889(x101792,x101791),a874),x101791),f341(f20(f889(x101792,x101791),a874,a874),f341(f341(f10(a874,f889(a874,a874),f889(x101792,x101791)),a339),f341(f341(f9(f889(x101792,x101791),f889(f889(x101792,x101791),a874),a874),f344(f889(x101792,x101791))),x101793)))),f341(f341(f9(x101791,f889(f889(x101792,x101791),x101791),f889(f889(x101792,x101791),a874)),f341(f341(f10(f889(x101791,a874),f889(f889(f889(x101792,x101791),x101791),f889(f889(x101792,x101791),a874)),x101791),f10(x101791,a874,f889(x101792,x101791))),a338)),f341(f341(f9(f889(x101792,x101791),x101792,x101791),f7(f889(x101792,x101791))),x101794)))))),f341(f39(f889(x101792,x101791),x101793),x101794)) % 197.39/197.42 [10180]~P8(x101801)+E(f39(x101801,f341(f267(x101801),f341(f341(f10(f889(f889(x101802,x101801),a874),a874,x101801),f98(f889(x101802,x101801))),f341(f341(f10(f889(f889(x101802,x101801),a874),f889(f889(x101802,x101801),a874),x101801),f341(f20(f889(x101802,x101801),a874,a874),f341(f341(f10(a874,f889(a874,a874),f889(x101802,x101801)),a339),f341(f341(f9(f889(x101802,x101801),f889(f889(x101802,x101801),a874),a874),f344(f889(x101802,x101801))),x101803)))),f341(f341(f9(x101801,f889(f889(x101802,x101801),x101801),f889(f889(x101802,x101801),a874)),f341(f341(f10(f889(x101801,a874),f889(f889(f889(x101802,x101801),x101801),f889(f889(x101802,x101801),a874)),x101801),f10(x101801,a874,f889(x101802,x101801))),a338)),f341(f341(f9(f889(x101802,x101801),x101802,x101801),f7(f889(x101802,x101801))),x101804)))))),f341(f39(f889(x101802,x101801),x101803),x101804)) % 197.39/197.42 [10181]~P8(x101811)+E(f40(x101811,f341(f267(x101811),f341(f341(f10(f889(f889(x101812,x101811),a874),a874,x101811),f98(f889(x101812,x101811))),f341(f341(f10(f889(f889(x101812,x101811),a874),f889(f889(x101812,x101811),a874),x101811),f341(f20(f889(x101812,x101811),a874,a874),f341(f341(f10(a874,f889(a874,a874),f889(x101812,x101811)),a339),f341(f341(f9(f889(x101812,x101811),f889(f889(x101812,x101811),a874),a874),f344(f889(x101812,x101811))),x101813)))),f341(f341(f9(x101811,f889(f889(x101812,x101811),x101811),f889(f889(x101812,x101811),a874)),f341(f341(f10(f889(x101811,a874),f889(f889(f889(x101812,x101811),x101811),f889(f889(x101812,x101811),a874)),x101811),f10(x101811,a874,f889(x101812,x101811))),a338)),f341(f341(f9(f889(x101812,x101811),x101812,x101811),f7(f889(x101812,x101811))),x101814)))))),f341(f40(f889(x101812,x101811),x101813),x101814)) % 197.39/197.42 [10182]~P8(x101821)+E(f40(x101821,f341(f267(x101821),f341(f341(f10(f889(f889(x101822,x101821),a874),a874,x101821),f98(f889(x101822,x101821))),f341(f341(f10(f889(f889(x101822,x101821),a874),f889(f889(x101822,x101821),a874),x101821),f341(f20(f889(x101822,x101821),a874,a874),f341(f341(f10(a874,f889(a874,a874),f889(x101822,x101821)),a339),f341(f341(f9(f889(x101822,x101821),f889(f889(x101822,x101821),a874),a874),f344(f889(x101822,x101821))),x101823)))),f341(f341(f9(x101821,f889(f889(x101822,x101821),x101821),f889(f889(x101822,x101821),a874)),f341(f341(f10(f889(x101821,a874),f889(f889(f889(x101822,x101821),x101821),f889(f889(x101822,x101821),a874)),x101821),f10(x101821,a874,f889(x101822,x101821))),a338)),f341(f341(f9(f889(x101822,x101821),x101822,x101821),f7(f889(x101822,x101821))),x101824)))))),f341(f40(f889(x101822,x101821),x101823),x101824)) % 197.39/197.42 [10224]~P1(f341(f341(f344(f888(x102241,x102241)),f341(f341(f257(x102241,x102241),x102243),x102244)),f341(f341(f125(f889(f888(x102241,x102241),a874)),x102242),f315(x102241,f193(f889(f888(x102241,x102241),a874))))))+P1(f341(f341(f341(f341(f125(f889(x102241,f889(x102241,a874))),f341(f341(f9(x102241,f889(f888(x102241,x102241),a874),f889(x102241,a874)),f341(f341(f10(f889(x102241,f889(f889(f888(x102241,x102241),a874),a874)),f889(f889(f888(x102241,x102241),a874),f889(x102241,a874)),x102241),f9(x102241,f889(f888(x102241,x102241),a874),a874)),f341(f341(f10(f889(x102241,f888(x102241,x102241)),f889(x102241,f889(f889(f888(x102241,x102241),a874),a874)),x102241),f341(f10(f888(x102241,x102241),f889(f889(f888(x102241,x102241),a874),a874),x102241),f344(f888(x102241,x102241)))),f257(x102241,x102241)))),x102242)),a338),x102243),x102244)) % 197.39/197.42 [10235]P1(f341(f341(f344(f888(x102351,x102351)),f341(f341(f257(x102351,x102351),x102352),x102353)),f341(f341(f125(f889(f888(x102351,x102351),a874)),x102354),f315(x102351,f193(f889(f888(x102351,x102351),a874))))))+~P1(f341(f341(f341(f341(f125(f889(x102351,f889(x102351,a874))),f341(f341(f9(x102351,f889(f888(x102351,x102351),a874),f889(x102351,a874)),f341(f341(f10(f889(x102351,f889(f889(f888(x102351,x102351),a874),a874)),f889(f889(f888(x102351,x102351),a874),f889(x102351,a874)),x102351),f9(x102351,f889(f888(x102351,x102351),a874),a874)),f341(f341(f10(f889(x102351,f888(x102351,x102351)),f889(x102351,f889(f889(f888(x102351,x102351),a874),a874)),x102351),f341(f10(f888(x102351,x102351),f889(f889(f888(x102351,x102351),a874),a874),x102351),f344(f888(x102351,x102351)))),f257(x102351,x102351)))),x102354)),a338),x102352),x102353)) % 197.39/197.42 [10071]~P106(x100713)+E(f102(x100711,f341(f341(f20(x100711,a874,a874),f341(f341(f10(a874,f889(a874,a874),x100711),a339),x100712)),f341(f341(f10(f889(x100711,a874),a874,x100711),f99(x100711)),f341(f341(f10(f889(x100711,a874),f889(x100711,a874),x100711),f341(f20(x100711,a874,a874),f341(f341(f10(a874,f889(a874,a874),x100711),a345),x100712))),f341(f341(f10(x100713,f889(x100711,a874),x100711),f341(f9(x100711,x100713,a874),f341(f341(f10(x100713,f889(x100713,a874),x100711),f241(x100713)),x100714))),x100714))))),f341(f104(x100711,x100713,x100714),x100712)) % 197.39/197.42 [10128]~P106(x101283)+E(f102(x101281,f341(f341(f20(x101281,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101281),a339),x101282)),f341(f341(f10(f889(x101281,a874),a874,x101281),f99(x101281)),f341(f341(f10(f889(x101281,a874),f889(x101281,a874),x101281),f341(f20(x101281,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101281),a345),x101282))),f341(f341(f9(x101281,f889(x101281,x101283),f889(x101281,a874)),f341(f341(f10(f889(x101283,a874),f889(f889(x101281,x101283),f889(x101281,a874)),x101281),f10(x101283,a874,x101281)),f341(f341(f10(x101283,f889(x101283,a874),x101281),f241(x101283)),x101284))),x101284))))),f107(x101281,x101283,x101284,x101282)) % 197.39/197.42 [10191]E(f341(f341(f156(f883(x101911)),f341(f341(f156(x101911),x101912),f341(f147(f883(x101911),f883(x101911),f137(x101911),f129(x101911)),f341(f341(f159(f883(x101911),f883(x101911)),f161(f883(x101911),x101911,f129(x101911),f341(f341(f10(f883(x101911),f889(f883(x101911),f883(x101911)),x101911),f18(f883(x101911),f883(x101911))),f341(f341(f9(x101911,f883(x101911),f883(x101911)),f156(x101911)),f129(x101911))))),x101913)))),f182(x101911,f341(f341(f156(f883(x101911)),x101914),f341(f147(f883(f883(x101911)),f883(f883(x101911)),f137(f883(x101911)),f129(f883(x101911))),f341(f341(f159(f883(x101911),f883(f883(x101911))),f161(f883(f883(x101911)),x101911,f129(f883(x101911)),f341(f18(f889(f883(x101911),f883(f883(x101911))),x101911),f341(f341(f9(f883(x101911),f883(f883(x101911)),f883(f883(x101911))),f156(f883(x101911))),f129(f883(x101911)))))),x101913))))),f182(x101911,f341(f341(f156(f883(x101911)),f341(f341(f156(x101911),x101912),x101914)),x101913)))+~P1(f341(f329(f883(f883(x101911)),f183(x101911)),f341(f341(f156(f883(x101911)),f341(f341(f156(x101911),x101912),x101914)),x101913))) % 197.39/197.42 [10223]~P1(f341(f72(x102232),f341(f267(x102232),x102234)))+P1(f341(f72(x102231),f341(f267(x102231),f341(f341(f10(f889(x102232,a874),a874,x102231),f98(x102232)),f341(f341(f9(x102231,f889(x102232,a874),f889(x102232,a874)),f341(f341(f10(f889(x102232,f889(a874,a874)),f889(f889(x102232,a874),f889(x102232,a874)),x102231),f20(x102232,a874,a874)),f341(f341(f10(f889(x102232,a874),f889(x102232,f889(a874,a874)),x102231),f341(f10(a874,f889(a874,a874),x102232),a339)),f341(f341(f9(x102231,f889(x102232,x102231),f889(x102232,a874)),f341(f341(f10(f889(x102231,a874),f889(f889(x102232,x102231),f889(x102232,a874)),x102231),f10(x102231,a874,x102232)),a338)),x102233)))),x102234))))) % 197.39/197.42 [8075]~E(f341(x80753,x80754),x80755)+E(f84(x80751,x80752,x80753,x80754,x80755),x80753) % 197.39/197.42 [8616]~E(f84(x86164,x86165,x86161,x86162,x86163),x86161)+E(f341(x86161,x86162),x86163) % 197.39/197.42 [6055]P49(x60551,x60552,x60553,x60554)+~P1(f341(f341(x60553,x60555),x60554)) % 197.39/197.42 [6057]P50(x60571,x60572,x60573,x60574)+~P1(f341(f341(x60573,x60574),x60575)) % 197.39/197.42 [6525]~E(x65255,f2(a115))+E(f341(f203(x65251,x65252,x65253,x65254),x65255),f140(x65252)) % 197.39/197.42 [6526]~E(x65265,f2(a115))+E(f341(f205(x65261,x65262,x65263,x65264),x65265),f131(x65262)) % 197.39/197.42 [6671]~E(x66713,f2(a115))+E(f341(f283(x66711,x66712,x66713,x66714),x66715),f341(f257(x66711,x66712),x66715)) % 197.39/197.42 [7154]~P24(x71544,x71541,x71542,x71545)+E(f341(f341(f82(x71541,x71541,x71541),f341(x71542,x71543)),f341(x71542,x71543)),f341(x71542,x71543)) % 197.39/197.42 [8446]P1(f341(f341(f344(f888(x84461,x84461)),f341(f341(f257(x84461,x84461),x84462),x84463)),f335(x84461,x84464,x84465)))+~P1(f341(f341(f242(a881),f341(x84464,x84462)),f341(x84464,x84463))) % 197.39/197.42 [8544]~P1(f341(f341(f344(x85444),x85443),f297(x85444,x85441,x85442,x85445)))+P1(f341(f341(x85441,x85442),x85443)) % 197.39/197.42 [8545]~P1(f341(f341(f344(x85454),x85453),f306(x85454,x85451,x85452,x85455)))+P1(f341(f341(x85451,x85452),x85453)) % 197.39/197.42 [8546]~P1(f341(f341(f344(x85464),x85462),f297(x85464,x85461,x85465,x85463)))+P1(f341(f341(x85461,x85462),x85463)) % 197.39/197.42 [8547]~P1(f341(f341(f344(x85474),x85472),f306(x85474,x85471,x85475,x85473)))+P1(f341(f341(x85471,x85472),x85473)) % 197.39/197.42 [9125]~P32(x91251,x91252,x91253,x91254,x91255)+P32(x91251,x91252,x91253,f341(f173(x91251),x91254),f341(f173(x91252),x91255)) % 197.39/197.42 [9127]~P32(x91271,x91272,x91273,f341(f173(x91271),x91274),x91275)+P32(x91271,x91272,x91273,x91274,f341(f173(x91272),x91275)) % 197.39/197.42 [9128]~P32(x91281,x91282,x91283,x91284,f341(f173(x91282),x91285))+P32(x91281,x91282,x91283,f341(f173(x91281),x91284),x91285) % 197.39/197.42 [9135]P32(x91351,x91352,x91353,x91354,x91355)+~P32(x91351,x91352,x91353,f341(f173(x91351),x91354),f341(f173(x91352),x91355)) % 197.39/197.42 [9532]P1(f341(f341(f344(f888(f883(x95321),f883(x95321))),f341(f341(f257(f883(x95321),f883(x95321)),f341(f341(f137(x95321),x95322),x95323)),f341(f341(f137(x95321),x95322),x95324))),f152(x95321,x95325)))+~P1(f341(f341(f344(f888(f883(x95321),f883(x95321))),f341(f341(f257(f883(x95321),f883(x95321)),x95323),x95324)),f152(x95321,x95325))) % 197.39/197.42 [9533]P1(f341(f341(f344(f888(f883(x95331),f883(x95331))),f341(f341(f257(f883(x95331),f883(x95331)),f341(f341(f156(x95331),x95332),x95333)),f341(f341(f156(x95331),x95332),x95334))),f162(x95331,x95335)))+~P1(f341(f341(f344(f888(f883(x95331),f883(x95331))),f341(f341(f257(f883(x95331),f883(x95331)),x95333),x95334)),f162(x95331,x95335))) % 197.39/197.42 [9583]~E(f341(x95833,f373(x95832,x95831,x95834,x95835,x95833)),f341(f188(x95835,x95834,x95831),f373(x95832,x95831,x95834,x95835,x95833)))+E(f341(f341(x95831,x95832),f341(x95833,x95832)),f341(x95833,f341(a128,x95832))) % 197.39/197.42 [9642]E(x96421,x96422)+~P19(x96423,x96424,x96425,x96421,f193(f889(x96423,a874)),x96422) % 197.39/197.42 [9705]E(f341(f341(f156(x97051),f496(x97052,x97053,x97054,x97055,x97051)),f501(x97052,x97053,x97054,x97055,x97051)),x97055)+~P1(f341(f341(f344(f888(f883(x97051),f883(x97051))),f341(f341(f257(f883(x97051),f883(x97051)),x97055),f341(f341(f156(x97051),x97054),x97053))),f163(x97051,x97052))) % 197.39/197.42 [9735]E(f341(f341(f156(x97351),f497(x97352,x97353,x97354,x97355,x97351)),f500(x97352,x97353,x97354,x97355,x97351)),x97353)+~P1(f341(f341(f344(f888(f883(x97351),f883(x97351))),f341(f341(f257(f883(x97351),f883(x97351)),f341(f341(f156(x97351),x97355),x97354)),x97353)),f163(x97351,x97352))) % 197.39/197.42 [9758]~P47(x97582,x97581,x97585,x97584,x97583)+E(f341(f87(x97581,x97582,x97582,x97581,x97583,x97584),f34(x97582)),f34(x97581)) % 197.39/197.42 [9873]~P1(f341(f341(f344(f888(f883(x98731),f883(x98731))),f341(f341(f257(f883(x98731),f883(x98731)),f341(f341(f156(x98731),x98735),x98732)),x98734)),f163(x98731,x98733)))+P1(f341(f341(f344(f888(f883(x98731),f883(x98731))),f341(f341(f257(f883(x98731),f883(x98731)),x98732),f500(x98733,x98734,x98732,x98735,x98731))),f163(x98731,x98733))) % 197.39/197.42 [9953]~P1(f341(f341(f344(f888(f883(x99531),f883(x99531))),f341(f341(f257(f883(x99531),f883(x99531)),x99535),f341(f341(f156(x99531),x99534),x99533))),f163(x99531,x99532)))+P1(f341(f341(f344(f888(f883(x99531),f883(x99531))),f341(f341(f257(f883(x99531),f883(x99531)),f501(x99532,x99533,x99534,x99535,x99531)),x99533)),f163(x99531,x99532))) % 197.39/197.42 [10055]~P47(x100551,x100552,x100555,x100554,x100553)+E(f341(f87(a874,a874,f889(x100551,f889(x100551,x100551)),f889(x100552,f889(x100552,x100552)),f34(a874),f87(x100552,x100551,f889(x100551,x100551),f889(x100552,x100552),x100553,f87(x100552,x100551,x100551,x100552,x100553,x100554))),f111(x100551)),f111(x100552)) % 197.39/197.42 [10119]~P47(x101191,x101193,x101192,x101194,x101195)+P1(f341(f341(f276(f889(x101191,a874),f889(x101191,a874),a874,a874,f276(x101191,x101191,a874,a874,x101192,a338),a338),f279(x101191,x101192)),f279(x101191,x101192))) % 197.39/197.42 [10184]P1(f341(f341(f344(f888(x101841,x101841)),f341(f341(f257(x101841,x101841),f341(x101842,f341(f341(f91(a881),x101843),x101844))),f341(x101842,x101843))),f315(x101841,x101845)))+~P1(f341(f341(f344(f888(x101841,x101841)),f341(f341(f257(x101841,x101841),f341(x101842,f341(a128,f767(x101844,x101843,x101845,x101842,x101841)))),f341(x101842,f767(x101844,x101843,x101845,x101842,x101841)))),f315(x101841,x101845))) % 197.39/197.42 [10185]E(x101851,f2(a115))+E(f240(f888(f883(x101852),x101853),f888(x101852,x101853),f341(f341(f257(f883(x101852),x101853),f129(x101852)),x101854),f341(f262(x101852,x101853,f888(f883(x101852),x101853)),f341(f341(f9(x101852,f889(x101853,f888(f883(x101852),x101853)),f889(x101853,f888(f883(x101852),x101853))),f341(f341(f10(f889(f888(f883(x101852),x101853),f888(f883(x101852),x101853)),f889(f889(x101853,f888(f883(x101852),x101853)),f889(x101853,f888(f883(x101852),x101853))),x101852),f10(f888(f883(x101852),x101853),f888(f883(x101852),x101853),x101853)),f341(f341(f10(f889(f883(x101852),f889(x101853,f888(f883(x101852),x101853))),f889(f888(f883(x101852),x101853),f888(f883(x101852),x101853)),x101852),f262(f883(x101852),x101853,f888(f883(x101852),x101853))),f341(f341(f10(f889(f883(x101852),f883(x101852)),f889(f883(x101852),f889(x101853,f888(f883(x101852),x101853))),x101852),f341(f10(f883(x101852),f889(x101853,f888(f883(x101852),x101853)),f883(x101852)),f257(f883(x101852),x101853))),f156(x101852))))),f133(x101853,x101852,x101855,f341(f341(f3(a115),x101851),f89(a115))))),f341(x101855,x101854)),f341(f133(x101853,x101852,x101855,x101851),x101854)) % 197.39/197.42 [10189]~P47(x101891,x101893,x101892,x101894,x101895)+P1(f341(f341(f276(a874,a874,f889(x101891,f889(x101891,x101891)),f889(x101891,f889(x101891,x101891)),a338,f276(x101891,x101891,f889(x101891,x101891),f889(x101891,x101891),x101892,f276(x101891,x101891,x101891,x101891,x101892,x101892))),f111(x101891)),f111(x101891))) % 197.39/197.42 [5219]E(x52191,x52192)+~E(f341(f341(f156(x52193),x52194),x52191),f341(f341(f156(x52193),x52195),x52192)) % 197.39/197.42 [5220]E(x52201,x52202)+~E(f341(f341(f156(x52203),x52201),x52204),f341(f341(f156(x52203),x52202),x52205)) % 197.39/197.42 [5416]~E(f341(f341(f143(x54161),x54163),x54162),f341(f341(f156(x54161),x54164),x54165))+E(f341(f341(f169(x54161),x54162),x54163),x54164) % 197.39/197.42 [6163]~P101(x61632)+~E(f341(f341(f154(x61631,x61632,x61633),x61634),x61635),f129(x61631)) % 197.39/197.42 [6565]E(x65651,x65652)+~E(f341(f341(f137(x65653),x65654),f341(f341(f156(x65653),x65651),f129(x65653))),f341(f341(f137(x65653),x65655),f341(f341(f156(x65653),x65652),f129(x65653)))) % 197.39/197.42 [6566]E(x65661,x65662)+~E(f341(f341(f137(x65663),x65661),f341(f341(f156(x65663),x65664),f129(x65663))),f341(f341(f137(x65663),x65662),f341(f341(f156(x65663),x65665),f129(x65663)))) % 197.39/197.42 [6894]~E(f341(f341(f317(x68941,x68942),x68943),x68944),x68945)+E(f341(f341(f317(f889(x68941,a874),f889(x68942,a874)),f341(f317(x68941,x68942),x68943)),f341(f316(x68941),x68944)),f341(f316(x68942),x68945)) % 197.39/197.42 [6900]~P1(f341(x69004,f341(x69003,x69005)))+P1(f341(f341(f320(x69001,x69002,x69003),x69004),x69005)) % 197.39/197.42 [6903]~P1(f341(f341(x69033,x69035),x69034))+P1(f341(f341(f250(x69031,x69032,x69033),x69034),x69035)) % 197.39/197.42 [6909]~E(x69094,f2(a115))+E(f341(f133(x69091,x69092,x69093,x69094),x69095),f341(f341(f257(f883(x69092),x69091),f129(x69092)),x69095)) % 197.39/197.42 [7034]E(f341(f278(x70341,x70342,x70343,x70344),x70345),f341(x70344,x70345))+~P1(f341(f341(f344(x70341),x70345),x70343)) % 197.39/197.42 [7337]P18(x73371,x73372,x73373,x73374)+~P18(x73371,x73372,x73373,f341(f341(f318(x73371),x73375),x73374)) % 197.39/197.42 [7406]P1(f341(x74061,x74062))+~P1(f341(f341(f106(x74063,x74064,x74061),x74065),x74062)) % 197.39/197.42 [7460]~P101(x74602)+E(f153(x74601,x74602,x74603,f341(f141(x74601,x74604),x74605)),f341(f141(x74601,x74604),f153(x74601,x74602,x74603,x74605))) % 197.39/197.42 [7493]P1(f341(x74931,f341(x74932,x74933)))+~P1(f341(f341(f320(x74934,x74935,x74932),x74931),x74933)) % 197.39/197.42 [7496]P1(f341(f341(x74961,x74962),x74963))+~P1(f341(f341(f250(x74964,x74965,x74961),x74963),x74962)) % 197.39/197.42 [7497]P1(f341(f341(x74971,x74972),x74973))+~P1(f341(f341(f106(x74974,x74971,x74975),x74972),x74973)) % 197.39/197.42 [7563]~P1(f341(f341(f344(x75633),f341(x75634,x75632)),x75635))+P1(f341(f341(f344(x75631),x75632),f341(f320(x75631,x75633,x75634),x75635))) % 197.39/197.42 [7951]~P1(f341(f341(f344(x79515),x79513),f341(f320(x79515,x79511,x79512),x79514)))+P1(f341(f341(f344(x79511),f341(x79512,x79513)),x79514)) % 197.39/197.42 [8532]P1(f341(f341(f344(f887(x85321,x85322)),f341(f323(x85322,x85321),x85323)),f324(x85321,x85322,x85324,x85325)))+~P1(f341(f341(f344(x85322),x85323),x85325)) % 197.39/197.42 [8533]P1(f341(f341(f344(f887(x85331,x85332)),f341(f319(x85331,x85332),x85333)),f324(x85331,x85332,x85334,x85335)))+~P1(f341(f341(f344(x85331),x85333),x85334)) % 197.39/197.42 [8596]~E(x85962,f341(f341(f156(x85961),x85964),x85965))+P1(f341(f341(f344(f888(f883(x85961),f883(x85961))),f341(f341(f257(f883(x85961),f883(x85961)),f129(x85961)),x85962)),f152(x85961,x85963))) % 197.39/197.42 [8646]~P32(x86461,x86463,x86465,x86462,x86464)+E(f341(f194(f883(x86461)),x86462),f341(f194(f883(x86463)),x86464)) % 197.39/197.42 [8656]P1(f341(f341(f241(f889(x86561,a874)),f341(f341(f43(x86562,f889(x86561,a874)),x86563),x86564)),f341(x86564,x86565)))+~P1(f341(f341(f344(x86562),x86565),x86563)) % 197.39/197.42 [8669]~P55(x86692,x86691,x86695,x86693,x86694)+E(f341(f341(f317(x86691,x86692),x86693),x86694),f249(f889(x86692,a874))) % 197.39/197.42 [8684]~P55(x86841,x86842,x86843,x86845,x86844)+E(f341(f341(f317(x86841,x86842),x86843),f249(f889(x86841,a874))),x86844) % 197.39/197.42 [8755]~P47(x87551,x87552,x87555,x87553,x87554)+E(f341(f341(f82(x87551,x87552,x87552),x87553),x87554),f34(x87552)) % 197.39/197.42 [9026]E(f341(f194(f883(x90261)),x90262),x90263)+~P1(f341(f341(f344(f888(f883(x90261),f883(x90261))),f341(f341(f257(f883(x90261),f883(x90261)),x90264),x90262)),f341(f148(x90261,x90265),x90263))) % 197.39/197.42 [9027]E(f341(f194(f883(x90271)),x90272),x90273)+~P1(f341(f341(f344(f888(f883(x90271),f883(x90271))),f341(f341(f257(f883(x90271),f883(x90271)),x90272),x90274)),f341(f148(x90271,x90275),x90273))) % 197.39/197.42 [9252]~P35(f889(x92523,a874),f889(x92521,a874),x92522)+P1(f341(f341(f241(f889(x92521,a874)),f341(x92522,f341(f341(f126(f889(x92523,a874)),x92524),x92525))),f341(f341(f126(f889(x92521,a874)),f341(x92522,x92524)),f341(x92522,x92525)))) % 197.39/197.42 [9549]P1(f341(f341(f344(f888(f883(x95491),f883(x95491))),f341(f341(f257(f883(x95491),f883(x95491)),f341(f341(f156(x95491),x95492),x95493)),f341(f341(f156(x95491),x95492),x95494))),f315(f883(x95491),f162(x95491,x95495))))+~P1(f341(f341(f344(f888(f883(x95491),f883(x95491))),f341(f341(f257(f883(x95491),f883(x95491)),x95493),x95494)),f315(f883(x95491),f162(x95491,x95495)))) % 197.39/197.42 [9575]~E(f341(x95753,f510(x95755,x95754,x95753,x95752,x95751)),f341(x95755,f510(x95755,x95754,x95753,x95752,x95751)))+E(f341(f341(f159(x95751,x95752),x95753),x95754),f341(f341(f159(x95751,x95752),x95755),x95754)) % 197.39/197.42 [9651]E(f341(f341(f159(x96511,x96512),x96513),x96514),f341(f341(f159(x96511,x96512),x96515),x96514))+P1(f341(f341(f344(x96511),f510(x96513,x96514,x96515,x96512,x96511)),f341(f176(x96511),x96514))) % 197.39/197.42 [9682]~P1(f341(f341(f344(x96825),x96824),f341(f292(x96821,x96825,x96823),x96822)))+P1(f341(f341(f344(x96821),f479(x96822,x96823,x96821,x96824,x96825)),x96822)) % 197.39/197.42 [9683]~P1(f341(f341(f344(x96835),x96834),f341(f292(x96831,x96835,x96833),x96832)))+P1(f341(f341(f344(x96831),f480(x96832,x96833,x96831,x96834,x96835)),x96832)) % 197.39/197.42 [5980]E(x59801,x59802)+~E(f341(f261(x59803,x59804),f341(f341(f257(x59803,x59804),x59805),x59801)),x59802) % 197.39/197.42 [5981]E(x59811,x59812)+~E(f341(f256(x59813,x59814),f341(f341(f257(x59813,x59814),x59811),x59815)),x59812) % 197.39/197.42 [6343]E(x63431,x63432)+~E(f341(f341(f187(f887(x63433,a881)),x63434),x63431),f341(f341(f187(f887(x63433,a881)),x63435),x63432)) % 197.39/197.42 [6344]E(x63441,x63442)+~E(f341(f341(f187(f887(x63443,a881)),x63441),x63444),f341(f341(f187(f887(x63443,a881)),x63442),x63445)) % 197.39/197.42 [6533]E(f341(f341(f317(x65331,x65332),f341(f18(x65332,x65331),x65333)),x65334),f341(f341(f318(x65332),x65333),f193(f889(x65332,a874))))+~P1(f341(f341(f344(x65331),x65335),x65334)) % 197.39/197.42 [6645]E(f341(f341(f318(x66451),f341(x66452,x66453)),f341(f341(f317(x66454,x66451),x66452),x66455)),f341(f341(f317(x66454,x66451),x66452),x66455))+~P1(f341(f341(f344(x66454),x66453),x66455)) % 197.39/197.42 [6728]E(f341(f341(f125(f889(x67281,a874)),f341(f176(x67281),x67282)),f341(f176(x67281),x67283)),f341(f176(x67281),x67284))+~E(f171(x67281,x67285,x67284),f341(f341(f257(f883(x67281),f883(x67281)),x67282),x67283)) % 197.39/197.42 [6829]~P101(x68292)+E(f341(f194(f883(x68291)),f341(f341(f154(x68291,x68292,x68293),x68294),x68295)),f341(a128,f341(f194(f883(x68291)),x68295))) % 197.39/197.42 [6841]~P101(x68412)+E(f341(f176(x68411),f341(f341(f154(x68411,x68412,x68413),x68414),x68415)),f341(f341(f318(x68411),x68414),f341(f176(x68411),x68415))) % 197.39/197.42 [7075]~E(x70752,f341(x70754,x70755))+P1(f341(f341(f344(x70751),x70752),f341(f341(f317(x70753,x70751),x70754),f249(f889(x70753,a874))))) % 197.39/197.42 [7129]~P108(x71291)+E(f341(f341(f91(x71291),f341(f341(f91(x71291),x71292),x71293)),f341(f341(f91(x71291),x71294),x71295)),f341(f341(f91(x71291),f341(f341(f91(x71291),x71292),x71294)),f341(f341(f91(x71291),x71293),x71295))) % 197.39/197.42 [7130]~P108(x71301)+E(f341(f341(f92(x71301),f341(f341(f92(x71301),x71302),x71303)),f341(f341(f92(x71301),x71304),x71305)),f341(f341(f92(x71301),f341(f341(f92(x71301),x71302),x71304)),f341(f341(f92(x71301),x71303),x71305))) % 197.39/197.42 [7131]~P63(x71311)+E(f341(f341(f298(x71311),f341(f341(f92(x71311),x71312),x71313)),f341(f341(f92(x71311),x71314),x71315)),f341(f341(f92(x71311),f341(f341(f298(x71311),x71312),x71314)),f341(f341(f298(x71311),x71313),x71315))) % 197.39/197.42 [7145]~P101(x71451)+E(f313(x71451,f341(f341(f192(x71451),x71452),x71453),f341(f341(f246(x71451),x71454),x71455)),f341(f341(f126(f889(x71451,a874)),f313(x71451,x71452,x71454)),f313(x71451,x71453,x71455))) % 197.39/197.42 [7146]~P101(x71461)+E(f312(x71461,f341(f341(f192(x71461),x71462),x71463),f341(f341(f246(x71461),x71464),x71465)),f341(f341(f126(f889(x71461,a874)),f312(x71461,x71462,x71464)),f312(x71461,x71463,x71465))) % 197.39/197.42 [7147]~P101(x71471)+E(f310(x71471,f341(f341(f192(x71471),x71472),x71473),f341(f341(f246(x71471),x71474),x71475)),f341(f341(f126(f889(x71471,a874)),f310(x71471,x71472,x71474)),f310(x71471,x71473,x71475))) % 197.39/197.42 [7148]~P101(x71481)+E(f341(f341(f126(f889(x71481,a874)),f341(f309(x71481,x71482),x71483)),f341(f309(x71481,x71484),x71485)),f341(f309(x71481,f341(f341(f192(x71481),x71482),x71484)),f341(f341(f246(x71481),x71483),x71485))) % 197.39/197.42 [7172]~P1(f341(f341(f344(x71724),x71723),x71725))+P1(f341(f341(f344(x71721),f341(x71722,x71723)),f341(f341(f317(x71724,x71721),x71722),x71725))) % 197.39/197.42 [7259]~P1(f341(x72591,f866(x72593,x72592,x72591)))+P1(f341(x72591,f341(f341(f257(x72592,x72593),x72594),x72595))) % 197.39/197.42 [7578]~P18(x75781,x75782,x75783,x75784)+P18(x75781,x75782,x75783,f341(f341(f3(f889(x75781,a874)),x75784),x75785)) % 197.39/197.42 [7736]~P1(f341(f341(x77363,x77364),x77365))+P1(f341(f341(f262(x77361,x77362,a874),x77363),f341(f341(f257(x77361,x77362),x77364),x77365))) % 197.39/197.42 [7843]~P1(f341(x78432,x78434))+~E(f341(f341(f143(x78431),f341(f194(f883(x78431)),f180(x78431,x78432,x78433))),x78433),f341(f341(f156(x78431),x78434),x78435)) % 197.39/197.42 [7863]P18(x78631,x78632,x78633,x78634)+~P18(x78631,x78632,x78633,f341(f341(f125(f889(x78631,a874)),x78635),x78634)) % 197.39/197.42 [7864]P18(x78641,x78642,x78643,x78644)+~P18(x78641,x78642,x78643,f341(f341(f125(f889(x78641,a874)),x78644),x78645)) % 197.39/197.42 [7910]~P101(x79102)+E(f341(f341(f154(x79101,x79102,x79103),x79104),f153(x79101,x79102,x79103,x79105)),f153(x79101,x79102,x79103,f341(f341(f156(x79101),x79104),x79105))) % 197.39/197.42 [8072]~P27(x80721,f341(a128,x80722),f341(f341(f341(f103(x80721),x80723),f341(a26,x80724)),x80725))+P27(x80721,x80722,f341(f341(f341(f103(x80721),x80723),f341(f239(a875),f341(a27,x80724))),x80725)) % 197.39/197.42 [8102]E(f341(x81021,f389(x81022,x81021,x81023,x81024)),x81024)+~P1(f341(f341(f344(x81025),x81024),f341(f341(f317(x81023,x81025),x81021),x81022))) % 197.39/197.42 [8210]P27(x82101,f341(a128,x82102),f341(f341(f341(f103(x82101),x82103),f341(a26,x82104)),x82105))+~P27(x82101,x82102,f341(f341(f341(f103(x82101),x82103),f341(f239(a875),f341(a27,x82104))),x82105)) % 197.39/197.42 [8263]~E(f341(f341(f143(x82631),f341(f194(f883(x82631)),f180(x82631,x82632,x82633))),x82633),f341(f341(f156(x82631),x82634),x82635))+E(f341(f341(f137(x82631),f180(x82631,x82632,x82633)),f341(f341(f156(x82631),x82634),x82635)),x82633) % 197.39/197.42 [8286]P1(f341(f341(x82861,x82862),x82863))+~P1(f341(f341(f262(x82864,x82865,a874),x82861),f341(f341(f257(x82864,x82865),x82862),x82863))) % 197.39/197.42 [8579]~P1(f341(f341(f241(f889(x85792,a874)),x85794),x85795))+P1(f341(f341(f241(f889(x85791,a874)),f341(f341(f317(x85792,x85791),x85793),x85794)),f341(f341(f317(x85792,x85791),x85793),x85795))) % 197.39/197.42 [8767]P1(f341(f341(f241(f889(x87671,a874)),f341(f320(x87671,x87672,x87673),x87674)),f341(f320(x87671,x87672,x87673),x87675)))+~P1(f341(f341(f241(f889(x87672,a874)),x87674),x87675)) % 197.39/197.42 [8851]E(x88511,f2(a115))+E(f341(f341(f264(x88512,x88513,x88512,f888(x88513,x88512)),f341(x88514,x88515)),f283(x88513,x88512,f341(f341(f3(a115),x88511),f89(a115)),x88514)),f341(f283(x88513,x88512,x88511,x88514),x88515)) % 197.39/197.42 [8954]P1(f341(f341(f260(x89541,x89542,a874,x89543),x89544),x89545))+~P1(f341(x89543,f341(f341(f257(x89541,x89542),x89544),x89545))) % 197.39/197.42 [9018]P1(f341(f341(f344(x90181),f389(x90182,x90183,x90181,x90184)),x90182))+~P1(f341(f341(f344(x90185),x90184),f341(f341(f317(x90181,x90185),x90183),x90182))) % 197.39/197.42 [9160]P27(x91601,x91602,f341(f341(f341(f103(x91601),x91603),x91604),x91605))+P1(f341(f341(x91603,f793(x91605,x91604,x91603,x91602)),f833(x91605,x91604,x91603,x91602))) % 197.39/197.42 [9211]E(f341(f341(f317(x92111,x92112),x92113),f390(x92114,x92113,x92111,x92115,x92112)),x92115)+~P1(f341(f341(f241(f889(x92112,a874)),x92115),f341(f341(f317(x92111,x92112),x92113),x92114))) % 197.39/197.42 [9225]~P1(f341(f341(f260(x92252,x92253,a874,x92251),x92254),x92255))+P1(f341(x92251,f341(f341(f257(x92252,x92253),x92254),x92255))) % 197.39/197.42 [9396]P27(x93961,x93962,f341(f341(f341(f103(x93961),x93963),x93964),x93965))+~P1(f341(f341(x93965,f793(x93965,x93964,x93963,x93962)),f840(x93965,x93964,x93963,x93962))) % 197.39/197.42 [9465]P27(x94651,x94652,f341(f341(f341(f103(x94651),x94653),x94654),x94655))+P1(f341(f341(f341(f341(a201,x94654),f833(x94655,x94654,x94653,x94652)),x94652),f840(x94655,x94654,x94653,x94652))) % 197.39/197.42 [9468]~P1(f341(f72(x94683),f341(f341(f317(x94682,x94683),x94685),f249(f889(x94682,a874)))))+P1(f341(f72(x94681),f341(f341(f317(x94682,x94681),f341(f341(f10(x94683,x94681,x94682),x94684),x94685)),f249(f889(x94682,a874))))) % 197.39/197.42 [9597]E(f341(f341(f257(x95971,x95972),f765(x95973,x95974,x95975,x95972,x95971)),f766(x95973,x95974,x95975,x95972,x95971)),x95975)+~P1(f341(f341(f344(f888(x95971,x95972)),x95975),f341(f341(f259(x95971,x95972),x95974),x95973))) % 197.39/197.42 [9687]P1(f341(f341(f344(x96871),f765(x96872,x96873,x96874,x96875,x96871)),x96873))+~P1(f341(f341(f344(f888(x96871,x96875)),x96874),f341(f341(f259(x96871,x96875),x96873),x96872))) % 197.39/197.42 [9691]P1(f341(f341(f241(f889(x96911,a874)),f390(x96912,x96913,x96911,x96914,x96915)),x96912))+~P1(f341(f341(f241(f889(x96915,a874)),x96914),f341(f341(f317(x96911,x96915),x96913),x96912))) % 197.39/197.42 [9811]~P17(x98111,x98112,f341(f341(f318(f880(x98111)),f341(f341(f341(f103(x98111),f106(x98111,x98113,x98114)),x98115),x98113)),f193(f889(f880(x98111),a874))))+P17(x98111,x98112,f341(f341(f318(f880(x98111)),f341(f341(f341(f103(x98111),x98113),f32(x98114,x98115)),f106(x98111,x98113,f341(f341(f82(a874,a874,a876),a336),x98114)))),f193(f889(f880(x98111),a874)))) % 197.39/197.42 [9829]P1(f341(f341(f344(x98291),f766(x98292,x98293,x98294,x98291,x98295)),f341(x98292,f765(x98292,x98293,x98294,x98291,x98295))))+~P1(f341(f341(f344(f888(x98295,x98291)),x98294),f341(f341(f259(x98295,x98291),x98293),x98292))) % 197.39/197.42 [9855]P1(f341(f341(f344(f888(x98551,x98551)),f341(f341(f257(x98551,x98551),x98552),f374(x98553,x98554,x98555,x98552,x98551))),x98553))+~P1(f341(f341(f344(f888(x98551,x98551)),f341(f341(f257(x98551,x98551),x98552),x98555)),f341(f341(f186(f888(x98551,x98551),a874),f341(a128,x98554)),x98553))) % 197.39/197.42 [9856]P1(f341(f341(f344(f888(x98561,x98561)),f341(f341(f257(x98561,x98561),x98562),f380(x98563,x98564,x98565,x98562,x98561))),x98563))+~P1(f341(f341(f344(f888(x98561,x98561)),f341(f341(f257(x98561,x98561),x98562),x98565)),f341(f341(f186(f888(x98561,x98561),a874),f341(a128,x98564)),x98563))) % 197.39/197.42 [9871]~P1(f341(f341(f344(f888(f883(x98711),f883(x98711))),f341(f341(f257(f883(x98711),f883(x98711)),f341(f341(f156(x98711),x98712),x98715)),x98714)),f163(x98711,x98713)))+P1(f341(f341(f344(f888(x98711,x98711)),f341(f341(f257(x98711,x98711),x98712),f497(x98713,x98714,x98715,x98712,x98711))),x98713)) % 197.39/197.42 [10118]~P47(x101181,x101183,x101182,x101184,x101185)+P1(f341(f341(f276(x101181,x101181,f889(x101181,a874),f889(x101181,a874),x101182,f276(x101181,x101181,a874,a874,x101182,a338)),x101182),x101182)) % 197.39/197.42 [6317]P1(f341(x63172,x63174))+E(f180(x63171,x63172,f341(f341(f137(x63171),x63173),f341(f341(f156(x63171),x63174),x63175))),f180(x63171,x63172,x63173)) % 197.39/197.42 [6373]~P74(x63732)+E(f341(f341(f341(f3(f889(x63731,x63732)),x63733),x63734),x63735),f341(f341(f3(x63732),f341(x63733,x63735)),f341(x63734,x63735))) % 197.39/197.42 [6375]~P95(x63752)+E(f341(f341(f341(f125(f889(x63751,x63752)),x63753),x63754),x63755),f341(f341(f125(x63752),f341(x63753,x63755)),f341(x63754,x63755))) % 197.39/197.42 [6377]~P95(x63772)+E(f341(f341(f341(f126(f889(x63771,x63772)),x63773),x63774),x63775),f341(f341(f126(x63772),f341(x63773,x63775)),f341(x63774,x63775))) % 197.39/197.42 [6396]E(x63961,x63962)+E(f341(f341(f169(x63963),f341(f341(f164(x63963,x63964),x63961),x63965)),x63962),f341(f341(f169(x63963),x63964),x63962)) % 197.39/197.42 [6676]~E(x66764,f193(f889(x66763,a874)))+E(f341(f341(f3(f889(x66761,a874)),x66762),f341(f341(f42(x66763,f889(x66761,a874)),x66764),x66765)),x66762) % 197.39/197.42 [6677]~E(x66774,f193(f889(x66773,a874)))+E(f341(f341(f125(f889(x66771,a874)),x66772),f341(f341(f42(x66773,f889(x66771,a874)),x66774),x66775)),x66772) % 197.39/197.42 [6678]~E(x66784,f193(f889(x66783,a874)))+E(f341(f341(f126(f889(x66781,a874)),x66782),f341(f341(f43(x66783,f889(x66781,a874)),x66784),x66785)),x66782) % 197.39/197.42 [6695]~E(x66954,f193(f889(x66953,a874)))+E(f341(f341(f318(x66951),x66952),f341(f341(f42(x66953,f889(x66951,a874)),x66954),x66955)),f341(f341(f318(x66951),x66952),f193(f889(x66951,a874)))) % 197.39/197.42 [7483]E(f341(f341(f169(x74831),f341(f341(f159(x74832,x74831),x74833),x74834)),x74835),f341(x74833,f341(f341(f169(x74832),x74834),x74835)))+~P1(f341(f341(f242(a881),x74835),f341(f194(f883(x74832)),x74834))) % 197.39/197.42 [7550]E(f341(f341(f125(f889(x75501,a874)),f341(x75502,x75503)),f341(f341(f42(x75504,f889(x75501,a874)),x75505),x75502)),f341(f341(f42(x75504,f889(x75501,a874)),x75505),x75502))+~P1(f341(f341(f344(x75504),x75503),x75505)) % 197.39/197.42 [7551]E(f341(f341(f126(f889(x75511,a874)),f341(x75512,x75513)),f341(f341(f43(x75514,f889(x75511,a874)),x75515),x75512)),f341(f341(f43(x75514,f889(x75511,a874)),x75515),x75512))+~P1(f341(f341(f344(x75514),x75513),x75515)) % 197.39/197.42 [8156]~E(x81563,f193(f889(x81561,a874)))+E(f341(f341(f42(x81561,f889(x81562,a874)),x81563),f341(f341(f10(f889(x81562,a874),f889(x81562,a874),x81561),f341(f318(x81562),x81564)),x81565)),f193(f889(x81562,a874))) % 197.39/197.42 [8162]~P1(f341(f341(f344(x81624),x81623),x81625))+P1(f341(f341(f241(f889(x81621,a874)),f341(x81622,x81623)),f341(f341(f42(x81624,f889(x81621,a874)),x81625),x81622))) % 197.39/197.42 [8285]~E(f341(x82854,x82852),x82855)+P1(f341(f341(f344(x82851),x82852),f341(f320(x82851,x82853,x82854),f341(f341(f318(x82853),x82855),f193(f889(x82853,a874)))))) % 197.39/197.42 [8332]~P53(x83321,x83322,f341(f293(x83322,x83321),x83323))+E(f341(f341(f126(f889(x83321,a874)),f341(f292(x83322,x83321,x83323),x83324)),f341(f292(x83322,x83321,x83323),x83325)),f341(f292(x83322,x83321,x83323),f341(f341(f126(f889(x83322,a874)),x83324),x83325))) % 197.39/197.42 [8368]~P18(x83682,x83681,x83683,f249(f889(x83682,a874)))+E(f341(f341(f3(f889(x83681,a874)),f341(f341(f317(x83682,x83681),x83683),x83684)),f341(f341(f317(x83682,x83681),x83683),x83685)),f341(f341(f317(x83682,x83681),x83683),f341(f341(f3(f889(x83682,a874)),x83684),x83685))) % 197.39/197.42 [8369]~P18(x83692,x83691,x83693,f249(f889(x83692,a874)))+E(f341(f341(f126(f889(x83691,a874)),f341(f341(f317(x83692,x83691),x83693),x83694)),f341(f341(f317(x83692,x83691),x83693),x83695)),f341(f341(f317(x83692,x83691),x83693),f341(f341(f126(f889(x83692,a874)),x83694),x83695))) % 197.39/197.42 [8412]E(x84121,f2(a115))+E(f341(f132(x84122,x84123,f341(x84124,f341(f341(f3(a115),x84121),f89(a115)))),f341(f341(f9(x84122,a115,f882(x84123)),x84125),x84121)),f341(f205(x84122,x84123,x84124,x84125),x84121)) % 197.39/197.42 [8457]E(x84571,f193(f889(x84572,a874)))+E(f341(f341(f42(x84572,f889(x84573,a874)),x84571),f341(f341(f10(f889(x84573,a874),f889(x84573,a874),x84572),f341(f318(x84573),x84574)),x84575)),f341(f341(f318(x84573),x84574),f341(f341(f42(x84572,f889(x84573,a874)),x84571),x84575))) % 197.39/197.42 [8584]~P1(f341(f341(f76(x85841,x85842,x85845),x85843),x85844))+P1(f341(f341(f344(f888(x85841,x85842)),f341(f341(f257(x85841,x85842),x85843),x85844)),x85845)) % 197.39/197.42 [8611]P1(f341(f341(f344(x86111),x86112),f341(f270(x86113,x86111),x86114)))+~P1(f341(f341(f344(f888(x86113,x86111)),f341(f341(f257(x86113,x86111),x86115),x86112)),x86114)) % 197.39/197.42 [8613]P1(f341(f341(f344(x86131),x86132),f341(f272(x86131,x86133),x86134)))+~P1(f341(f341(f344(f888(x86131,x86133)),f341(f341(f257(x86131,x86133),x86132),x86135)),x86134)) % 197.39/197.42 [8752]P1(f341(f341(f76(x87521,x87522,x87523),x87524),x87525))+~P1(f341(f341(f344(f888(x87521,x87522)),f341(f341(f257(x87521,x87522),x87524),x87525)),x87523)) % 197.39/197.42 [8789]E(f341(x87891,x87892),x87893)+~P1(f341(f341(f344(x87894),x87892),f341(f320(x87894,x87895,x87891),f341(f341(f318(x87895),x87893),f193(f889(x87895,a874)))))) % 197.39/197.42 [9023]P1(f341(f341(f344(f888(x90231,x90232)),f341(f341(f257(x90231,x90232),x90233),x90234)),f341(f293(x90232,x90231),x90235)))+~P1(f341(f341(f344(f888(x90232,x90231)),f341(f341(f257(x90232,x90231),x90234),x90233)),x90235)) % 197.39/197.42 [9038]~P1(f341(f341(x90381,x90385),x90384))+P1(f341(f341(x90381,f341(f261(x90382,x90383),f341(f341(f257(x90382,x90383),x90384),x90385))),f341(f256(x90382,x90383),f341(f341(f257(x90382,x90383),x90384),x90385)))) % 197.39/197.42 [9068]~P1(f341(f341(f344(f888(x90682,x90681)),f341(f341(f257(x90682,x90681),x90684),x90683)),f341(f293(x90681,x90682),x90685)))+P1(f341(f341(f344(f888(x90681,x90682)),f341(f341(f257(x90681,x90682),x90683),x90684)),x90685)) % 197.39/197.42 [9093]~P1(f341(f341(f344(f888(x90933,x90931)),f341(f341(f257(x90933,x90931),x90935),x90932)),x90934))+P1(f341(f341(f344(x90931),x90932),f341(f292(x90933,x90931,x90934),f341(f341(f318(x90933),x90935),f193(f889(x90933,a874)))))) % 197.39/197.42 [9141]P1(f341(f341(f344(f888(x91411,x91412)),f341(f341(f257(x91411,x91412),x91413),x91414)),x91415))+~P1(f341(f341(f344(x91412),x91414),f341(f292(x91411,x91412,x91415),f341(f341(f318(x91411),x91413),f193(f889(x91411,a874)))))) % 197.39/197.42 [9232]~P70(x92321)+E(f341(f341(f8(a881,x92321),x92322),f310(a881,f341(f341(f91(a881),x92323),x92324),f341(f341(f91(a881),x92325),x92324))),f341(f341(f8(a881,x92321),f341(f341(f10(a881,x92321,a881),x92322),f341(f341(f9(a881,a881,a881),f91(a881)),x92324))),f310(a881,x92323,x92325))) % 197.39/197.42 [9255]~P70(x92551)+E(f341(f341(f8(a881,x92551),x92552),f341(f309(a881,f341(f341(f91(a881),x92553),x92554)),f341(f341(f91(a881),x92555),x92554))),f341(f341(f8(a881,x92551),f341(f341(f10(a881,x92551,a881),x92552),f341(f341(f9(a881,a881,a881),f91(a881)),x92554))),f341(f309(a881,x92553),x92555))) % 197.39/197.42 [9308]~P18(x93081,x93082,x93083,f249(f889(x93081,a874)))+E(f341(f341(f159(x93081,x93082),x93083),f341(f141(x93081,f341(f341(f10(a874,a874,x93081),a336),f341(a338,x93084))),x93085)),f341(f141(x93082,f341(f341(f10(a874,a874,x93082),a336),f341(a338,f341(x93083,x93084)))),f341(f341(f159(x93081,x93082),x93083),x93085))) % 197.39/197.42 [9324]~P18(x93241,x93242,x93243,f341(f341(f318(x93241),x93244),f341(f176(x93241),x93245)))+E(f341(f341(f159(x93241,x93242),x93243),f341(f141(x93241,f341(f341(f10(a874,a874,x93241),a336),f341(a338,x93244))),x93245)),f341(f141(x93242,f341(f341(f10(a874,a874,x93242),a336),f341(a338,f341(x93243,x93244)))),f341(f341(f159(x93241,x93242),x93243),x93245))) % 197.39/197.42 [9483]P1(f341(f341(f344(f888(f883(x94831),f883(x94831))),f341(f341(f257(f883(x94831),f883(x94831)),f341(f341(f156(x94831),x94832),x94833)),f341(f341(f156(x94831),x94834),x94833))),f162(x94831,x94835)))+~P1(f341(f341(f344(f888(x94831,x94831)),f341(f341(f257(x94831,x94831),x94832),x94834)),x94835)) % 197.39/197.42 [9500]P1(f341(f341(f241(f889(f889(x95001,a874),a874)),f341(f341(f317(f889(x95002,a874),f889(x95001,a874)),f341(f317(x95002,x95001),x95003)),f341(f316(x95002),x95004))),f341(f316(x95001),x95005)))+~P1(f341(f341(f241(f889(x95001,a874)),f341(f341(f317(x95002,x95001),x95003),x95004)),x95005)) % 197.39/197.42 [9513]P1(f341(f341(f341(f341(a201,x95131),x95132),x95133),f872(x95134,x95133,x95132,x95135,x95131)))+~P1(f341(f341(f341(f341(a201,f33(x95131,x95135)),x95132),x95133),x95134)) % 197.39/197.42 [9514]P1(f341(f341(f341(f341(a201,x95141),x95142),x95143),f364(x95144,x95143,x95142,x95145,x95141)))+~P1(f341(f341(f341(f341(a201,f33(x95141,x95145)),x95142),x95143),x95144)) % 197.39/197.42 [9594]E(f341(f341(f318(x95941),f810(x95942,x95943,x95944,x95945,x95941)),f811(x95942,x95943,x95944,x95945,x95941)),f341(f341(f318(x95941),x95944),x95943))+~P1(f341(f73(x95941,x95945,f341(f341(f318(x95941),x95944),x95943)),x95942)) % 197.39/197.42 [9595]E(f341(f341(f318(x95951),f812(x95952,x95953,x95954,x95955,x95951)),f813(x95952,x95953,x95954,x95955,x95951)),f341(f341(f318(x95951),x95954),x95953))+~P1(f341(f73(x95951,x95955,f341(f341(f318(x95951),x95954),x95953)),x95952)) % 197.39/197.42 [9672]P1(f341(f341(f344(x96721),f795(x96722,x96723,x96724,x96725,x96721)),x96724))+P1(f341(f341(f341(f43(x96721,f889(x96725,a874)),x96724),x96723),x96722)) % 197.39/197.42 [9677]P1(f341(f341(f344(x96771),f787(x96772,x96773,x96771,x96774,x96775)),x96773))+P1(f341(f341(f344(x96775),x96774),f341(f341(f43(x96771,f889(x96775,a874)),x96773),x96772))) % 197.39/197.42 [9686]P1(f341(f341(f344(x96861),f780(x96862,x96863,x96861,x96864,x96865)),x96863))+P1(f341(f341(f241(f889(x96865,a874)),x96864),f341(f341(f43(x96861,f889(x96865,a874)),x96863),x96862))) % 197.39/197.42 [9688]P1(f341(f341(x96881,f720(x96882,x96881,x96883,x96884,x96885)),x96882))+~P1(f341(f341(f341(f42(x96885,f889(x96884,a874)),x96883),x96881),x96882)) % 197.39/197.42 [9690]P1(f341(f341(f344(x96901),f720(x96902,x96903,x96904,x96905,x96901)),x96904))+~P1(f341(f341(f341(f42(x96901,f889(x96905,a874)),x96904),x96903),x96902)) % 197.39/197.42 [9697]P1(f341(f341(f344(x96971),f715(x96972,x96973,x96971,x96974,x96975)),x96973))+~P1(f341(f341(f344(x96975),x96974),f341(f341(f42(x96971,f889(x96975,a874)),x96973),x96972))) % 197.39/197.42 [9701]P1(f341(f341(f344(x97011),x97012),f341(x97013,f715(x97013,x97014,x97015,x97012,x97011))))+~P1(f341(f341(f344(x97011),x97012),f341(f341(f42(x97015,f889(x97011,a874)),x97014),x97013))) % 197.39/197.42 [9721]P19(x97211,x97211,x97212,f810(x97213,x97214,x97215,x97212,x97211),f811(x97213,x97214,x97215,x97212,x97211),x97213)+~P1(f341(f73(x97211,x97212,f341(f341(f318(x97211),x97215),x97214)),x97213)) % 197.39/197.42 [9722]P19(x97221,x97221,x97222,f812(x97223,x97224,x97225,x97222,x97221),f813(x97223,x97224,x97225,x97222,x97221),x97223)+~P1(f341(f73(x97221,x97222,f341(f341(f318(x97221),x97225),x97224)),x97223)) % 197.39/197.42 [9785]~P1(f341(f341(x97854,f795(x97855,x97854,x97853,x97852,x97851)),x97855))+P1(f341(f341(f341(f43(x97851,f889(x97852,a874)),x97853),x97854),x97855)) % 197.39/197.42 [9788]~P1(f341(f341(f344(x97881),x97882),f341(x97885,f787(x97885,x97884,x97883,x97882,x97881))))+P1(f341(f341(f344(x97881),x97882),f341(f341(f43(x97883,f889(x97881,a874)),x97884),x97885))) % 197.39/197.42 [9792]~P1(f341(f341(f241(f889(x97921,a874)),x97922),f341(x97925,f780(x97925,x97924,x97923,x97922,x97921))))+P1(f341(f341(f241(f889(x97921,a874)),x97922),f341(f341(f43(x97923,f889(x97921,a874)),x97924),x97925))) % 197.39/197.42 [9835]P1(f341(f341(f341(f341(a201,x98351),f872(x98352,x98353,x98354,x98351,x98355)),x98353),x98352))+~P1(f341(f341(f341(f341(a201,f33(x98355,x98351)),x98354),x98353),x98352)) % 197.39/197.42 [9836]P1(f341(f341(f341(f341(a201,x98361),f364(x98362,x98363,x98364,x98361,x98365)),x98363),x98362))+~P1(f341(f341(f341(f341(a201,f33(x98365,x98361)),x98364),x98363),x98362)) % 197.39/197.42 [9859]~P1(f341(f341(f344(x98591),f810(x98595,x98594,x98593,x98592,x98591)),f811(x98595,x98594,x98593,x98592,x98591)))+~P1(f341(f73(x98591,x98592,f341(f341(f318(x98591),x98593),x98594)),x98595)) % 197.39/197.42 [9860]~P1(f341(f341(f344(x98601),f812(x98605,x98604,x98603,x98602,x98601)),f813(x98605,x98604,x98603,x98602,x98601)))+~P1(f341(f73(x98601,x98602,f341(f341(f318(x98601),x98603),x98604)),x98605)) % 197.39/197.42 [9861]~P1(f341(f341(f344(f888(x98611,x98611)),f341(f341(f257(x98611,x98611),x98612),x98615)),f341(f341(f186(f888(x98611,x98611),a874),f341(a128,x98614)),x98613)))+P1(f341(f341(f344(f888(x98611,x98611)),f341(f341(f257(x98611,x98611),x98612),f375(x98613,x98614,x98615,x98612,x98611))),f341(f341(f186(f888(x98611,x98611),a874),x98614),x98613))) % 197.39/197.42 [9874]~P101(x98741)+P16(x98741,f341(f341(f159(x98742,x98741),x98743),f341(f141(x98742,f341(f341(f9(x98742,x98741,a874),f341(f341(f10(x98741,f889(x98741,a874),x98742),a338),x98743)),f341(x98744,x98745))),x98745))) % 197.39/197.42 [9924]~P1(f341(f341(f344(x99242),x99245),f341(f292(x99241,x99242,x99244),x99243)))+P1(f341(f341(f344(f888(x99241,x99242)),f341(f341(f257(x99241,x99242),f479(x99243,x99244,x99241,x99245,x99242)),x99245)),x99244)) % 197.39/197.42 [9925]~P1(f341(f341(f344(x99252),x99255),f341(f292(x99251,x99252,x99254),x99253)))+P1(f341(f341(f344(f888(x99251,x99252)),f341(f341(f257(x99251,x99252),f480(x99253,x99254,x99251,x99255,x99252)),x99255)),x99254)) % 197.39/197.42 [9946]~P1(f341(f341(f344(f888(x99461,x99461)),f341(f341(f257(x99461,x99461),x99465),x99464)),f341(f341(f186(f888(x99461,x99461),a874),f341(a128,x99463)),x99462)))+P1(f341(f341(f344(f888(x99461,x99461)),f341(f341(f257(x99461,x99461),f375(x99462,x99463,x99464,x99465,x99461)),x99464)),x99462)) % 197.39/197.42 [9949]~P1(f341(f341(f344(f888(x99491,x99491)),f341(f341(f257(x99491,x99491),x99495),x99494)),f341(f341(f186(f888(x99491,x99491),a874),f341(a128,x99493)),x99492)))+P1(f341(f341(f344(f888(x99491,x99491)),f341(f341(f257(x99491,x99491),f374(x99492,x99493,x99494,x99495,x99491)),x99494)),f341(f341(f186(f888(x99491,x99491),a874),x99493),x99492))) % 197.39/197.42 [9950]~P1(f341(f341(f344(f888(x99501,x99501)),f341(f341(f257(x99501,x99501),x99505),x99504)),f341(f341(f186(f888(x99501,x99501),a874),f341(a128,x99503)),x99502)))+P1(f341(f341(f344(f888(x99501,x99501)),f341(f341(f257(x99501,x99501),f380(x99502,x99503,x99504,x99505,x99501)),x99504)),f341(f341(f186(f888(x99501,x99501),a874),x99503),x99502))) % 197.39/197.42 [9951]~P1(f341(f341(f344(f888(f883(x99511),f883(x99511))),f341(f341(f257(f883(x99511),f883(x99511)),x99515),f341(f341(f156(x99511),x99514),x99513))),f163(x99511,x99512)))+P1(f341(f341(f344(f888(x99511,x99511)),f341(f341(f257(x99511,x99511),f496(x99512,x99513,x99514,x99515,x99511)),x99514)),x99512)) % 197.39/197.42 [7572]~E(x75723,f193(f889(x75722,a874)))+E(f341(f341(f125(f889(x75721,a874)),f341(f341(f42(x75722,f889(x75721,a874)),x75723),x75724)),x75725),x75725) % 197.39/197.42 [7573]~E(x75733,f193(f889(x75732,a874)))+E(f341(f341(f126(f889(x75731,a874)),f341(f341(f43(x75732,f889(x75731,a874)),x75733),x75734)),x75735),x75735) % 197.39/197.42 [7994]~E(x79943,f193(f889(x79942,a874)))+E(f341(f341(f3(f889(x79941,a874)),f341(f341(f43(x79942,f889(x79941,a874)),x79943),x79944)),x79945),f341(f341(f3(f889(x79941,a874)),f249(f889(x79941,a874))),x79945)) % 197.39/197.42 [8130]E(f341(f341(f164(x81301,f341(f341(f137(x81301),x81302),x81303)),x81304),x81305),f341(f341(f137(x81301),f341(f341(f164(x81301,x81302),x81304),x81305)),x81303))+~P1(f341(f341(f242(a881),x81304),f341(f194(f883(x81301)),x81302))) % 197.39/197.42 [8398]E(f341(f341(f169(x83981),f341(f341(f159(a881,x83981),x83982),f144(a881,f341(f309(a881,x83983),x83984)))),x83985),f341(x83982,f341(f341(f91(a881),x83983),x83985)))+~P1(f341(f341(f242(a881),x83985),f341(f341(f3(a881),x83984),x83983))) % 197.39/197.42 [8417]E(x84171,f2(a115))+E(f135(x84172,x84173,f341(x84174,f341(f341(f3(a115),x84171),f89(a115))),f341(f341(f9(x84172,a115,f882(f885(x84173))),x84175),x84171)),f341(f203(x84172,x84173,x84174,x84175),x84171)) % 197.39/197.42 [8443]~E(x84433,f193(f889(x84431,a874)))+E(f341(f341(f42(x84431,f889(x84432,a874)),x84433),f341(f341(f10(f889(x84432,a874),f889(x84432,a874),x84431),f341(f125(f889(x84432,a874)),x84434)),x84435)),f193(f889(x84432,a874))) % 197.39/197.42 [8444]~E(x84443,f193(f889(x84441,a874)))+E(f341(f341(f43(x84441,f889(x84442,a874)),x84443),f341(f341(f10(f889(x84442,a874),f889(x84442,a874),x84441),f341(f3(f889(x84442,a874)),x84444)),x84445)),f249(f889(x84442,a874))) % 197.39/197.42 [8445]~E(x84453,f193(f889(x84451,a874)))+E(f341(f341(f43(x84451,f889(x84452,a874)),x84453),f341(f341(f10(f889(x84452,a874),f889(x84452,a874),x84451),f341(f126(f889(x84452,a874)),x84454)),x84455)),f249(f889(x84452,a874))) % 197.39/197.42 [8450]~P139(x84502)+E(f341(f341(f8(x84501,x84502),f341(f341(f10(x84502,x84502,x84501),f341(f92(x84502),x84503)),x84504)),x84505),f341(f341(f92(x84502),x84503),f341(f341(f8(x84501,x84502),x84504),x84505))) % 197.39/197.42 [8735]E(x87351,f193(f889(x87352,a874)))+E(f341(f341(f42(x87352,f889(x87353,a874)),x87351),f341(f341(f10(f889(x87353,a874),f889(x87353,a874),x87352),f341(f125(f889(x87353,a874)),x87354)),x87355)),f341(f341(f125(f889(x87353,a874)),x87354),f341(f341(f42(x87352,f889(x87353,a874)),x87351),x87355))) % 197.39/197.42 [8736]E(x87361,f193(f889(x87362,a874)))+E(f341(f341(f43(x87362,f889(x87363,a874)),x87361),f341(f341(f10(f889(x87363,a874),f889(x87363,a874),x87362),f341(f3(f889(x87363,a874)),x87364)),x87365)),f341(f341(f3(f889(x87363,a874)),x87364),f341(f341(f42(x87362,f889(x87363,a874)),x87361),x87365))) % 197.39/197.42 [8737]E(x87371,f193(f889(x87372,a874)))+E(f341(f341(f43(x87372,f889(x87373,a874)),x87371),f341(f341(f10(f889(x87373,a874),f889(x87373,a874),x87372),f341(f126(f889(x87373,a874)),x87374)),x87375)),f341(f341(f126(f889(x87373,a874)),x87374),f341(f341(f43(x87372,f889(x87373,a874)),x87371),x87375))) % 197.39/197.42 [8938]~P1(f341(f341(f242(a881),f341(x89384,x89382)),f341(x89384,x89383)))+P1(f341(f341(f344(f888(x89381,x89381)),f341(f341(f257(x89381,x89381),x89382),x89383)),f158(x89381,f341(f341(f156(f889(x89381,a881)),x89384),x89385)))) % 197.39/197.42 [9144]~P18(x91442,x91441,x91443,f341(f341(f125(f889(x91442,a874)),x91444),x91445))+E(f341(f341(f126(f889(x91441,a874)),f341(f341(f317(x91442,x91441),x91443),f341(f341(f3(f889(x91442,a874)),x91444),x91445))),f341(f341(f317(x91442,x91441),x91443),f341(f341(f3(f889(x91442,a874)),x91445),x91444))),f193(f889(x91441,a874))) % 197.39/197.42 [9182]~P35(f889(x91825,a874),f889(x91821,a874),x91822)+P1(f341(f341(f241(f889(x91821,a874)),f341(f341(f125(f889(x91821,a874)),f341(x91822,x91823)),f341(x91822,x91824))),f341(x91822,f341(f341(f125(f889(x91825,a874)),x91823),x91824)))) % 197.39/197.42 [9479]~P1(f341(f341(f241(f889(x94793,a874)),f341(f292(x94791,x94793,x94794),x94792)),x94795))+P1(f341(f341(f241(f889(x94791,a874)),x94792),f341(f90(f889(x94791,a874)),f341(f292(x94793,x94791,f341(f293(x94791,x94793),x94794)),f341(f90(f889(x94793,a874)),x94795))))) % 197.39/197.42 [9487]~P18(x94871,x94872,x94873,f341(f341(f318(x94871),x94874),x94875))+~P1(f341(f341(f344(x94872),f341(x94873,x94874)),f341(f341(f317(x94871,x94872),x94873),f341(f341(f3(f889(x94871,a874)),x94875),f341(f341(f318(x94871),x94874),f193(f889(x94871,a874))))))) % 197.39/197.42 [9553]P1(f341(f341(f241(f889(x95531,a874)),f341(f292(x95532,x95531,x95533),x95534)),x95535))+~P1(f341(f341(f241(f889(x95532,a874)),x95534),f341(f90(f889(x95532,a874)),f341(f292(x95531,x95532,f341(f293(x95532,x95531),x95533)),f341(f90(f889(x95531,a874)),x95535))))) % 197.39/197.42 [9620]~P81(x96201)+P1(f341(f341(f241(x96201),f341(f85(x96201),f341(f341(f3(x96201),f341(f341(f91(x96201),x96202),x96203)),f341(f341(f91(x96201),x96204),x96205)))),f341(f341(f91(x96201),f341(f85(x96201),f341(f341(f3(x96201),x96202),x96204))),f341(f85(x96201),f341(f341(f3(x96201),x96203),x96205))))) % 197.39/197.42 [9714]P1(f341(f341(f344(x97141),f719(x97142,x97143,x97144,x97141,x97145)),x97144))+P1(f341(f341(f241(f889(x97145,a874)),f341(f341(f42(x97141,f889(x97145,a874)),x97144),x97143)),x97142)) % 197.39/197.42 [9891]~P1(f341(f341(f241(f889(x98911,a874)),f341(x98914,f719(x98915,x98914,x98913,x98912,x98911))),x98915))+P1(f341(f341(f241(f889(x98911,a874)),f341(f341(f42(x98912,f889(x98911,a874)),x98913),x98914)),x98915)) % 197.39/197.42 [8558]E(f341(f341(f137(x85581),x85582),f341(f341(f164(x85581,x85583),f341(f341(f3(a881),x85584),f341(f194(f883(x85581)),x85582))),x85585)),f341(f341(f164(x85581,f341(f341(f137(x85581),x85582),x85583)),x85584),x85585))+P1(f341(f341(f242(a881),x85584),f341(f194(f883(x85581)),x85582))) % 197.39/197.42 [8592]~P138(x85921)+E(f341(f341(f91(x85921),f341(f341(f92(x85921),x85922),x85923)),f341(f341(f91(x85921),f341(f341(f92(x85921),x85924),x85923)),x85925)),f341(f341(f91(x85921),f341(f341(f92(x85921),f341(f341(f91(x85921),x85922),x85924)),x85923)),x85925)) % 197.39/197.42 [9152]~P139(x91521)+E(f341(f170(x91521),f341(f341(f159(x91522,x91521),f341(f341(f10(x91521,x91521,x91522),f341(f92(x91521),x91523)),x91524)),x91525)),f341(f341(f92(x91521),x91523),f341(f170(x91521),f341(f341(f159(x91522,x91521),x91524),x91525)))) % 197.39/197.42 [9561]~P139(x95612)+E(f341(f341(f8(x95611,x95612),f341(f341(f9(x95611,x95612,x95612),f341(f341(f10(x95612,f889(x95612,x95612),x95611),f92(x95612)),x95613)),x95614)),x95615),f341(f341(f92(x95612),f341(f341(f8(x95611,x95612),x95613),x95615)),x95614)) % 197.39/197.42 [9562]~P64(x95622)+E(f341(f341(f8(x95621,x95622),f341(f341(f9(x95621,x95622,x95622),f341(f341(f10(x95622,f889(x95622,x95622),x95621),f298(x95622)),x95623)),x95624)),x95625),f341(f341(f298(x95622),f341(f341(f8(x95621,x95622),x95623),x95625)),x95624)) % 197.39/197.42 [9569]~P70(x95692)+E(f341(f341(f8(x95691,x95692),f341(f341(f20(x95691,x95692,x95692),f341(f341(f10(x95692,f889(x95692,x95692),x95691),f91(x95692)),x95693)),x95694)),x95695),f341(f341(f91(x95692),f341(f341(f8(x95691,x95692),x95693),x95695)),f341(f341(f8(x95691,x95692),x95694),x95695))) % 197.39/197.42 [9570]~P60(x95702)+E(f341(f341(f8(x95701,x95702),f341(f341(f20(x95701,x95702,x95702),f341(f341(f10(x95702,f889(x95702,x95702),x95701),f3(x95702)),x95703)),x95704)),x95705),f341(f341(f3(x95702),f341(f341(f8(x95701,x95702),x95703),x95705)),f341(f341(f8(x95701,x95702),x95704),x95705))) % 197.39/197.42 [9571]~P72(x95712)+E(f341(f341(f11(x95711,x95712),f341(f341(f20(x95711,x95712,x95712),f341(f341(f10(x95712,f889(x95712,x95712),x95711),f92(x95712)),x95713)),x95714)),x95715),f341(f341(f92(x95712),f341(f341(f11(x95711,x95712),x95713),x95715)),f341(f341(f11(x95711,x95712),x95714),x95715))) % 197.39/197.42 [9603]~E(x96033,f193(f889(x96031,a874)))+E(f341(f341(f42(x96031,f889(x96032,a874)),x96033),f341(f341(f9(x96031,f889(x96032,a874),f889(x96032,a874)),f341(f341(f10(f889(x96032,a874),f889(f889(x96032,a874),f889(x96032,a874)),x96031),f125(f889(x96032,a874))),x96034)),x96035)),f193(f889(x96032,a874))) % 197.39/197.42 [9604]~E(x96043,f193(f889(x96041,a874)))+E(f341(f341(f43(x96041,f889(x96042,a874)),x96043),f341(f341(f9(x96041,f889(x96042,a874),f889(x96042,a874)),f341(f341(f10(f889(x96042,a874),f889(f889(x96042,a874),f889(x96042,a874)),x96041),f3(f889(x96042,a874))),x96044)),x96045)),f249(f889(x96042,a874))) % 197.39/197.42 [9605]~E(x96053,f193(f889(x96051,a874)))+E(f341(f341(f43(x96051,f889(x96052,a874)),x96053),f341(f341(f9(x96051,f889(x96052,a874),f889(x96052,a874)),f341(f341(f10(f889(x96052,a874),f889(f889(x96052,a874),f889(x96052,a874)),x96051),f126(f889(x96052,a874))),x96054)),x96055)),f249(f889(x96052,a874))) % 197.39/197.42 [9630]E(x96301,f193(f889(x96302,a874)))+E(f341(f341(f42(x96302,f889(x96303,a874)),x96301),f341(f341(f9(x96302,f889(x96303,a874),f889(x96303,a874)),f341(f341(f10(f889(x96303,a874),f889(f889(x96303,a874),f889(x96303,a874)),x96302),f125(f889(x96303,a874))),x96304)),x96305)),f341(f341(f125(f889(x96303,a874)),f341(f341(f42(x96302,f889(x96303,a874)),x96301),x96304)),x96305)) % 197.39/197.42 [9631]E(x96311,f193(f889(x96312,a874)))+E(f341(f341(f43(x96312,f889(x96313,a874)),x96311),f341(f341(f9(x96312,f889(x96313,a874),f889(x96313,a874)),f341(f341(f10(f889(x96313,a874),f889(f889(x96313,a874),f889(x96313,a874)),x96312),f3(f889(x96313,a874))),x96314)),x96315)),f341(f341(f3(f889(x96313,a874)),f341(f341(f43(x96312,f889(x96313,a874)),x96311),x96314)),x96315)) % 197.39/197.42 [9632]E(x96321,f193(f889(x96322,a874)))+E(f341(f341(f43(x96322,f889(x96323,a874)),x96321),f341(f341(f9(x96322,f889(x96323,a874),f889(x96323,a874)),f341(f341(f10(f889(x96323,a874),f889(f889(x96323,a874),f889(x96323,a874)),x96322),f126(f889(x96323,a874))),x96324)),x96325)),f341(f341(f126(f889(x96323,a874)),f341(f341(f43(x96322,f889(x96323,a874)),x96321),x96324)),x96325)) % 197.39/197.42 [9202]~P1(f341(f341(f241(a881),x92021),x92024))+E(f341(f341(f3(a881),f341(f341(f91(a881),f341(f341(f92(a881),x92021),x92022)),x92023)),f341(f341(f91(a881),f341(f341(f92(a881),x92024),x92022)),x92025)),f341(f341(f3(a881),x92023),f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x92024),x92021)),x92022)),x92025))) % 197.39/197.42 [9770]~P139(x97701)+E(f341(f170(x97701),f341(f341(f159(x97702,x97701),f341(f341(f9(x97702,x97701,x97701),f341(f341(f10(x97701,f889(x97701,x97701),x97702),f92(x97701)),x97703)),x97704)),x97705)),f341(f341(f92(x97701),f341(f170(x97701),f341(f341(f159(x97702,x97701),x97703),x97705))),x97704)) % 197.39/197.42 [9775]~P70(x97751)+E(f341(f170(x97751),f341(f341(f159(x97752,x97751),f341(f341(f20(x97752,x97751,x97751),f341(f341(f10(x97751,f889(x97751,x97751),x97752),f91(x97751)),x97753)),x97754)),x97755)),f341(f341(f91(x97751),f341(f170(x97751),f341(f341(f159(x97752,x97751),x97753),x97755))),f341(f170(x97751),f341(f341(f159(x97752,x97751),x97754),x97755)))) % 197.39/197.42 [9776]~P60(x97761)+E(f341(f170(x97761),f341(f341(f159(x97762,x97761),f341(f341(f20(x97762,x97761,x97761),f341(f341(f10(x97761,f889(x97761,x97761),x97762),f3(x97761)),x97763)),x97764)),x97765)),f341(f341(f3(x97761),f341(f170(x97761),f341(f341(f159(x97762,x97761),x97763),x97765))),f341(f170(x97761),f341(f341(f159(x97762,x97761),x97764),x97765)))) % 197.39/197.42 [10212]~P1(f341(f341(f344(f888(x102122,x102121)),f341(f341(f257(x102122,x102121),x102124),x102125)),f341(f293(x102121,x102122),x102123)))+P1(f341(f341(f250(x102121,x102122,f341(f341(f9(x102121,f889(f888(x102121,x102122),a874),f889(x102122,a874)),f341(f341(f10(f889(x102122,f889(f889(f888(x102121,x102122),a874),a874)),f889(f889(f888(x102121,x102122),a874),f889(x102122,a874)),x102121),f9(x102122,f889(f888(x102121,x102122),a874),a874)),f341(f341(f10(f889(x102122,f888(x102121,x102122)),f889(x102122,f889(f889(f888(x102121,x102122),a874),a874)),x102121),f341(f10(f888(x102121,x102122),f889(f889(f888(x102121,x102122),a874),a874),x102122),f344(f888(x102121,x102122)))),f257(x102121,x102122)))),x102123)),x102124),x102125)) % 197.39/197.42 [10221]P1(f341(f341(f344(f888(x102211,x102212)),f341(f341(f257(x102211,x102212),x102213),x102214)),f341(f293(x102212,x102211),x102215)))+~P1(f341(f341(f250(x102212,x102211,f341(f341(f9(x102212,f889(f888(x102212,x102211),a874),f889(x102211,a874)),f341(f341(f10(f889(x102211,f889(f889(f888(x102212,x102211),a874),a874)),f889(f889(f888(x102212,x102211),a874),f889(x102211,a874)),x102212),f9(x102211,f889(f888(x102212,x102211),a874),a874)),f341(f341(f10(f889(x102211,f888(x102212,x102211)),f889(x102211,f889(f889(f888(x102212,x102211),a874),a874)),x102212),f341(f10(f888(x102212,x102211),f889(f889(f888(x102212,x102211),a874),a874),x102211),f344(f888(x102212,x102211)))),f257(x102212,x102211)))),x102215)),x102213),x102214)) % 197.39/197.42 [9443]~P1(f341(f341(f241(a881),x94434),x94431))+E(f341(f341(f3(a881),f341(f341(f91(a881),f341(f341(f92(a881),x94431),x94432)),x94433)),f341(f341(f91(a881),f341(f341(f92(a881),x94434),x94432)),x94435)),f341(f341(f3(a881),f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x94431),x94434)),x94432)),x94433)),x94435)) % 197.39/197.42 [10228]P17(x102281,x102282,f341(f341(f317(a877,f880(x102281)),f341(f341(f20(a877,f889(x102281,f889(a876,a874)),f880(x102281)),f341(f341(f20(a877,a875,f889(f889(x102281,f889(a876,a874)),f880(x102281))),f341(f341(f10(f889(x102281,f889(a876,a874)),f889(a875,f889(f889(x102281,f889(a876,a874)),f880(x102281))),a877),f103(x102281)),x102283)),a26)),x102284)),x102285))+~P17(x102281,f341(f341(f125(f889(f880(x102281),a874)),x102282),f341(f341(f317(a877,f880(x102281)),f341(f341(f20(a877,f889(x102281,f889(a876,a874)),f880(x102281)),f341(f341(f20(a877,a875,f889(f889(x102281,f889(a876,a874)),f880(x102281))),f341(f341(f10(f889(x102281,f889(a876,a874)),f889(a875,f889(f889(x102281,f889(a876,a874)),f880(x102281))),a877),f103(x102281)),x102283)),a26)),x102284)),x102285)),f341(f341(f317(a877,f880(x102281)),f341(f341(f20(a877,f889(x102281,f889(a876,a874)),f880(x102281)),f341(f341(f20(a877,a875,f889(f889(x102281,f889(a876,a874)),f880(x102281))),f341(f341(f10(f889(x102281,f889(a876,a874)),f889(a875,f889(f889(x102281,f889(a876,a874)),f880(x102281))),a877),f103(x102281)),x102283)),f341(f341(f10(f885(a875),a875,a877),f239(a875)),a27))),x102284)),x102285)) % 197.39/197.42 [5245]E(x52451,x52452)+~E(f30(x52453,x52454,x52451),f30(x52455,x52456,x52452)) % 197.39/197.42 [5246]E(x52461,x52462)+~E(f30(x52463,x52461,x52464),f30(x52465,x52462,x52466)) % 197.39/197.42 [5247]E(x52471,x52472)+~E(f30(x52471,x52473,x52474),f30(x52472,x52475,x52476)) % 197.39/197.42 [5248]E(x52481,x52482)+~E(f29(x52483,x52484,x52481),f29(x52485,x52486,x52482)) % 197.39/197.42 [5249]E(x52491,x52492)+~E(f29(x52493,x52491,x52494),f29(x52495,x52492,x52496)) % 197.39/197.42 [5250]E(x52501,x52502)+~E(f29(x52501,x52503,x52504),f29(x52502,x52505,x52506)) % 197.39/197.42 [5251]E(x52511,x52512)+~E(f28(x52513,x52514,x52511),f28(x52515,x52516,x52512)) % 197.39/197.42 [5252]E(x52521,x52522)+~E(f28(x52523,x52521,x52524),f28(x52525,x52522,x52526)) % 197.39/197.42 [5253]E(x52531,x52532)+~E(f28(x52531,x52533,x52534),f28(x52532,x52535,x52536)) % 197.39/197.42 [7264]E(x72641,x72642)+~E(f229(x72643,x72644,x72645,x72641),f229(x72643,x72644,x72646,x72642)) % 197.39/197.42 [7265]E(x72651,x72652)+~E(f229(x72653,x72654,x72651,x72655),f229(x72653,x72654,x72652,x72656)) % 197.39/197.42 [7800]~P23(x78005,x78001,x78002,x78006)+E(f341(f341(f82(x78001,x78001,x78001),f341(x78002,x78003)),f341(x78002,x78004)),f341(f341(f82(x78001,x78001,x78001),f341(x78002,x78004)),f341(x78002,x78003))) % 197.39/197.42 [8628]~P55(x86284,x86285,x86282,x86281,x86286)+E(f341(x86281,f341(x86282,x86283)),x86283) % 197.39/197.42 [8629]~P47(x86294,x86295,x86296,x86291,x86292)+E(f341(x86291,f341(x86292,x86293)),x86293) % 197.39/197.42 [8748]~P47(x87484,x87485,x87481,x87486,x87482)+P1(f341(f341(x87481,f341(x87482,x87483)),f341(x87482,x87483))) % 197.39/197.42 [8866]~E(x88666,x88664)+E(f341(f84(x88661,x88662,x88663,x88664,x88665),x88666),x88665) % 197.39/197.42 [8873]E(x88731,x88732)+E(f341(f84(x88733,x88734,x88735,x88732,x88736),x88731),f341(x88735,x88731)) % 197.39/197.42 [9578]~P1(f341(f341(f344(x95784),x95783),f307(x95784,x95785,x95781,x95782,x95786)))+P1(f341(f341(x95781,x95782),x95783)) % 197.39/197.42 [9579]~P1(f341(f341(f344(x95794),x95793),f304(x95794,x95791,x95795,x95792,x95796)))+P1(f341(f341(x95791,x95792),x95793)) % 197.39/197.42 [9580]~P1(f341(f341(f344(x95804),x95802),f307(x95804,x95801,x95805,x95806,x95803)))+P1(f341(f341(x95801,x95802),x95803)) % 197.39/197.42 [9581]~P1(f341(f341(f344(x95814),x95812),f304(x95814,x95815,x95811,x95816,x95813)))+P1(f341(f341(x95811,x95812),x95813)) % 197.39/197.42 [9640]~P19(x96401,x96403,x96404,x96405,x96402,x96406)+P1(f341(f72(x96401),x96402)) % 197.39/197.42 [10105]P15(x101051,x101052,x101053,x101054,x101055,x101056)+~E(f341(f341(x101056,f426(x101053,x101056,x101055,x101052,x101054,x101051)),f429(x101053,x101056,x101055,x101052,x101054,x101051)),f341(f341(x101056,f427(x101053,x101056,x101055,x101052,x101054,x101051)),f428(x101053,x101056,x101055,x101052,x101054,x101051))) % 197.39/197.42 [5729]E(x57291,x57292)+~E(f341(f341(f257(x57293,x57294),x57295),x57291),f341(f341(f257(x57293,x57294),x57296),x57292)) % 197.39/197.42 [5731]E(x57311,x57312)+~E(f341(f341(f257(x57313,x57314),x57311),x57315),f341(f341(f257(x57313,x57314),x57312),x57316)) % 197.39/197.42 [5732]E(x57321,x57322)+~E(f341(f341(f50(x57323,x57324),x57325),x57321),f341(f341(f50(x57323,x57324),x57326),x57322)) % 197.39/197.42 [5733]E(x57331,x57332)+~E(f341(f341(f50(x57333,x57334),x57331),x57335),f341(f341(f50(x57333,x57334),x57332),x57336)) % 197.39/197.42 [5735]E(x57351,x57352)+~E(f341(f341(f54(x57353,x57354),x57355),x57351),f341(f341(f54(x57353,x57354),x57356),x57352)) % 197.39/197.42 [5737]E(x57371,x57372)+~E(f341(f341(f54(x57373,x57374),x57371),x57375),f341(f341(f54(x57373,x57374),x57372),x57376)) % 197.39/197.42 [7329]~P30(x73294,x73291,f341(f341(f156(x73294),x73292),x73295),f341(f341(f156(x73294),x73293),x73296))+P1(f341(f341(x73291,x73292),x73293)) % 197.39/197.42 [7687]P30(x76871,x76872,x76873,x76874)+~P30(x76871,x76872,f341(f341(f156(x76871),x76875),x76873),f341(f341(f156(x76871),x76876),x76874)) % 197.39/197.42 [8279]P18(x82791,x82792,x82793,x82794)+~P18(x82791,x82795,f341(f341(f82(x82792,x82795,x82791),x82796),x82793),x82794) % 197.39/197.42 [8415]~P18(x84154,x84152,f341(f341(f82(x84151,x84152,x84154),x84153),x84155),x84156)+P18(x84151,x84152,x84153,f341(f341(f317(x84154,x84151),x84155),x84156)) % 197.39/197.42 [8721]~P55(x87215,x87211,x87212,x87216,x87214)+P1(f341(f341(f344(x87211),f341(x87212,x87213)),x87214)) % 197.39/197.42 [8913]E(f341(f86(x89131,x89132,x89133,x89134,x89135),x89136),f341(x89133,x89136))+P1(f341(f341(f344(x89131),x89136),x89135)) % 197.39/197.42 [8929]~E(x89293,f341(f341(f156(x89291),x89295),x89296))+P1(f341(f341(f344(f888(f883(x89291),f883(x89291))),f341(f341(f257(f883(x89291),f883(x89291)),x89292),f341(f341(f137(x89291),x89292),x89293))),f152(x89291,x89294))) % 197.39/197.42 [8935]E(f341(f86(x89351,x89352,x89353,x89354,x89355),x89356),f341(x89354,x89356))+~P1(f341(f341(f344(x89351),x89356),x89355)) % 197.39/197.42 [9156]~P32(x91561,x91562,x91563,x91565,x91566)+P32(x91561,x91562,x91563,f341(f341(f177(x91561),x91564),x91565),f341(f341(f177(x91562),x91564),x91566)) % 197.39/197.42 [9157]~P32(x91571,x91572,x91573,x91575,x91576)+P32(x91571,x91572,x91573,f341(f341(f143(x91571),x91574),x91575),f341(f341(f143(x91572),x91574),x91576)) % 197.39/197.42 [9403]E(f341(f341(f317(x94031,x94032),f84(x94031,x94032,x94033,x94034,x94035)),x94036),f341(f341(f317(x94031,x94032),x94033),x94036))+P1(f341(f341(f344(x94031),x94034),x94036)) % 197.39/197.42 [9412]E(f341(f341(f159(x94121,x94122),f84(x94121,x94122,x94123,x94124,x94125)),x94126),f341(f341(f159(x94121,x94122),x94123),x94126))+P1(f341(f341(f344(x94121),x94124),f341(f176(x94121),x94126))) % 197.39/197.42 [9641]~P26(x96414,x96412,x96415,x96413,x96416,x96411)+E(f341(x96411,f193(f889(x96412,a874))),x96413) % 197.39/197.42 [9862]~E(f341(x98624,f341(f256(x98621,x98623),x98625)),f341(x98626,f341(f256(x98621,x98623),x98625)))+E(f341(f263(x98621,x98622,x98623,x98623,x98624,f34(x98623)),x98625),f341(f263(x98621,x98622,x98623,x98623,x98626,f34(x98623)),x98625)) % 197.39/197.42 [9863]~E(f341(x98634,f341(f261(x98631,x98632),x98635)),f341(x98636,f341(f261(x98631,x98632),x98635)))+E(f341(f263(x98631,x98631,x98632,x98633,f34(x98631),x98634),x98635),f341(f263(x98631,x98631,x98632,x98633,f34(x98631),x98636),x98635)) % 197.39/197.42 [9914]~E(f341(f263(x99142,x99146,x99143,x99143,x99141,f34(x99143)),x99144),f341(f263(x99142,x99146,x99143,x99143,x99145,f34(x99143)),x99144))+E(f341(x99141,f341(f256(x99142,x99143),x99144)),f341(x99145,f341(f256(x99142,x99143),x99144))) % 197.39/197.42 [9915]~E(f341(f263(x99152,x99152,x99153,x99156,f34(x99152),x99151),x99154),f341(f263(x99152,x99152,x99153,x99156,f34(x99152),x99155),x99154))+E(f341(x99151,f341(f261(x99152,x99153),x99154)),f341(x99155,f341(f261(x99152,x99153),x99154))) % 197.39/197.42 [8828]P1(f341(f341(f344(x88281),x88282),x88283))+~P1(f341(f341(f344(f888(x88281,x88284)),f341(f341(f257(x88281,x88284),x88282),x88285)),f341(f341(f259(x88281,x88284),x88283),x88286))) % 197.39/197.42 [8845]P1(f341(f341(f344(x88451),x88452),f341(x88453,x88454)))+~P1(f341(f341(f344(f888(x88455,x88451)),f341(f341(f257(x88455,x88451),x88454),x88452)),f341(f341(f259(x88455,x88451),x88456),x88453))) % 197.39/197.43 [9282]P1(f341(f341(f344(f888(x92821,x92821)),f341(f341(f257(x92821,x92821),f341(x92822,x92823)),f341(x92822,x92824))),x92825))+~P1(f341(f341(f344(f888(x92826,x92826)),f341(f341(f257(x92826,x92826),x92823),x92824)),f341(f341(f295(x92821,x92826),x92825),x92822))) % 197.39/197.43 [9296]~P1(f341(f341(f344(f888(x92964,x92964)),f341(f341(f257(x92964,x92964),f341(x92966,x92962)),f341(x92966,x92963))),x92965))+P1(f341(f341(f344(f888(x92961,x92961)),f341(f341(f257(x92961,x92961),x92962),x92963)),f341(f341(f295(x92964,x92961),x92965),x92966))) % 197.39/197.43 [9917]E(f341(f341(f257(x99171,x99172),f448(x99173,x99174,x99175,x99176,x99172,x99171)),f450(x99173,x99174,x99175,x99176,x99172,x99171)),x99176)+~P1(f341(f341(f344(f888(x99171,x99172)),x99176),f341(f341(f296(x99171,x99175,x99172),x99174),x99173))) % 197.39/197.43 [10175]~P1(f341(f341(f344(f888(x101751,x101756)),x101755),f341(f341(f296(x101751,x101752,x101756),x101754),x101753)))+P1(f341(f341(f344(f888(x101751,x101752)),f341(f341(f257(x101751,x101752),f448(x101753,x101754,x101752,x101755,x101756,x101751)),f451(x101753,x101754,x101752,x101755,x101756,x101751))),x101754)) % 197.39/197.43 [10176]~P1(f341(f341(f344(f888(x101766,x101762)),x101765),f341(f341(f296(x101766,x101761,x101762),x101764),x101763)))+P1(f341(f341(f344(f888(x101761,x101762)),f341(f341(f257(x101761,x101762),f451(x101763,x101764,x101761,x101765,x101762,x101766)),f450(x101763,x101764,x101761,x101765,x101762,x101766))),x101763)) % 197.39/197.43 [10177]P15(x101771,x101772,x101773,x101774,x101775,x101776)+P1(f341(f341(f344(f888(x101772,x101772)),f341(f341(f257(x101772,x101772),f428(x101773,x101776,x101775,x101772,x101774,x101771)),f429(x101773,x101776,x101775,x101772,x101774,x101771))),x101775)) % 197.39/197.43 [10178]P15(x101781,x101782,x101783,x101784,x101785,x101786)+P1(f341(f341(f344(f888(x101781,x101781)),f341(f341(f257(x101781,x101781),f427(x101783,x101786,x101785,x101782,x101784,x101781)),f426(x101783,x101786,x101785,x101782,x101784,x101781))),x101784)) % 197.39/197.43 [7755]~P8(x77552)+E(f341(f341(f42(x77551,x77552),x77553),f341(f341(f9(x77551,x77554,x77552),x77555),x77556)),f341(f341(f341(f42(x77551,f889(x77554,x77552)),x77553),x77555),x77556)) % 197.39/197.43 [7756]~P8(x77562)+E(f341(f341(f43(x77561,x77562),x77563),f341(f341(f9(x77561,x77564,x77562),x77565),x77566)),f341(f341(f341(f43(x77561,f889(x77564,x77562)),x77563),x77565),x77566)) % 197.39/197.43 [8539]E(f341(f341(f42(x85391,f889(x85392,a874)),x85393),f341(f341(f10(f889(x85392,a874),f889(x85392,a874),x85391),f341(f318(x85392),x85394)),x85395)),f341(f341(f318(x85392),x85394),f341(f341(f42(x85391,f889(x85392,a874)),x85393),x85395)))+~P1(f341(f341(f344(x85391),x85396),x85393)) % 197.39/197.43 [8985]~P8(x89852)+E(f341(f341(f42(x89851,x89852),x89853),f341(f341(f10(f889(x89854,x89852),x89852,x89851),f341(f42(x89854,x89852),x89855)),f341(f9(x89854,x89851,x89852),x89856))),f341(f341(f42(x89854,x89852),x89855),f341(f341(f10(f889(x89851,x89852),x89852,x89854),f341(f42(x89851,x89852),x89853)),x89856))) % 197.39/197.43 [8986]~P8(x89862)+E(f341(f341(f43(x89861,x89862),x89863),f341(f341(f10(f889(x89864,x89862),x89862,x89861),f341(f43(x89864,x89862),x89865)),f341(f9(x89864,x89861,x89862),x89866))),f341(f341(f43(x89864,x89862),x89865),f341(f341(f10(f889(x89861,x89862),x89862,x89864),f341(f43(x89861,x89862),x89863)),x89866))) % 197.39/197.43 [9185]P1(f341(f341(f344(x91851),x91852),f341(f176(x91851),x91853)))+~P1(f341(f341(f344(f888(x91854,x91851)),f341(f341(f257(x91854,x91851),x91855),x91852)),f341(f176(f888(x91854,x91851)),f341(f341(f184(x91854,x91851),x91856),x91853)))) % 197.39/197.43 [9186]P1(f341(f341(f344(x91861),x91862),f341(f176(x91861),x91863)))+~P1(f341(f341(f344(f888(x91861,x91864)),f341(f341(f257(x91861,x91864),x91862),x91865)),f341(f176(f888(x91861,x91864)),f341(f341(f184(x91861,x91864),x91863),x91866)))) % 197.39/197.43 [9212]~P1(f341(f341(f241(f889(f879(x92121,x92122),a874)),f341(f341(f54(x92121,x92122),x92125),x92123)),f341(f341(f54(x92121,x92122),x92126),x92124)))+P1(f341(f341(f241(f889(f879(x92121,x92122),a874)),x92123),x92124)) % 197.39/197.43 [9213]~P1(f341(f341(f241(f889(f879(x92131,x92132),a874)),f341(f341(f54(x92131,x92132),x92133),x92135)),f341(f341(f54(x92131,x92132),x92134),x92136)))+P1(f341(f341(f241(f889(f879(x92131,x92132),a874)),x92133),x92134)) % 197.39/197.43 [9290]P1(f341(f341(f241(f889(x92901,a874)),f341(f292(x92902,x92901,x92903),x92904)),x92905))+~P1(f341(f341(f241(f889(f888(x92902,x92901),a874)),x92903),f341(f341(f259(x92902,x92901),x92906),f341(f18(f889(x92901,a874),x92902),x92905)))) % 197.39/197.43 [9482]P1(f341(f341(f344(f888(f883(x94821),f883(x94821))),f341(f341(f257(f883(x94821),f883(x94821)),f341(f341(f156(x94821),x94822),x94823)),f341(f341(f156(x94821),x94824),x94825))),f152(x94821,x94826)))+~P1(f341(f341(f344(f888(x94821,x94821)),f341(f341(f257(x94821,x94821),x94822),x94824)),x94826)) % 197.39/197.43 [9913]E(f341(f341(f257(x99131,x99132),f376(x99133,x99134,x99135,x99132,x99131,x99136)),f379(x99133,x99134,x99135,x99132,x99131,x99136)),x99136)+P1(f341(f341(f344(x99135),x99134),f341(f341(f262(x99131,x99132,f889(x99135,a874)),x99133),x99136))) % 197.39/197.43 [9918]E(f341(f341(f257(x99181,x99182),f377(x99183,x99184,x99182,x99181,x99185,x99186)),f378(x99183,x99184,x99182,x99181,x99185,x99186)),x99183)+~P1(f341(f341(f344(x99186),x99185),f341(f341(f262(x99181,x99182,f889(x99186,a874)),x99184),x99183))) % 197.39/197.43 [10120]P1(f341(f341(f344(x101201),x101202),f341(f341(x101203,f377(x101204,x101203,x101205,x101206,x101202,x101201)),f378(x101204,x101203,x101205,x101206,x101202,x101201))))+~P1(f341(f341(f344(x101201),x101202),f341(f341(f262(x101206,x101205,f889(x101201,a874)),x101203),x101204))) % 197.39/197.43 [10151]~P1(f341(f341(f344(x101511),x101512),f341(f341(x101515,f376(x101515,x101512,x101511,x101514,x101513,x101516)),f379(x101515,x101512,x101511,x101514,x101513,x101516))))+P1(f341(f341(f344(x101511),x101512),f341(f341(f262(x101513,x101514,f889(x101511,a874)),x101515),x101516))) % 197.39/197.43 [8433]E(x84331,x84332)+E(f341(f341(f164(x84333,f341(f341(f164(x84333,x84334),x84331),x84335)),x84332),x84336),f341(f341(f164(x84333,f341(f341(f164(x84333,x84334),x84332),x84336)),x84331),x84335)) % 197.39/197.43 [9528]~P1(f341(f341(f344(x95283),x95286),x95285))+E(f341(f341(f318(x95281),x95282),f341(f341(f317(x95283,x95281),x95284),f341(f341(f3(f889(x95283,a874)),x95285),f341(f341(f318(x95283),x95286),f193(f889(x95283,a874)))))),f341(f341(f317(x95283,x95281),f84(x95283,x95281,x95284,x95286,x95282)),x95285)) % 197.39/197.43 [9063]~P1(f341(f341(x90634,x90635),x90636))+P1(f341(f341(f341(f341(f125(f889(x90631,f889(x90632,a874))),x90633),x90634),x90635),x90636)) % 197.39/197.43 [9065]~P1(f341(f341(x90653,x90655),x90656))+P1(f341(f341(f341(f341(f125(f889(x90651,f889(x90652,a874))),x90653),x90654),x90655),x90656)) % 197.39/197.43 [9342]P1(f341(f341(x93421,x93422),x93423))+~P1(f341(f341(f341(f341(f126(f889(x93424,f889(x93425,a874))),x93426),x93421),x93422),x93423)) % 197.39/197.43 [9343]P1(f341(f341(x93431,x93432),x93433))+~P1(f341(f341(f341(f341(f126(f889(x93434,f889(x93435,a874))),x93431),x93436),x93432),x93433)) % 197.39/197.43 [9756]~P70(x97562)+E(f341(f341(f8(x97561,x97562),f341(f341(f9(x97561,f889(x97563,a874),x97562),f341(f341(f10(f889(x97563,x97562),f889(f889(x97563,a874),x97562),x97561),f8(x97563,x97562)),x97564)),x97565)),x97566),f341(f341(f8(f888(x97561,x97563),x97562),f341(f262(x97561,x97563,x97562),x97564)),f341(f341(f259(x97561,x97563),x97566),f341(f18(f889(x97563,a874),x97561),x97565)))) % 197.39/197.43 [9757]~P72(x97572)+E(f341(f341(f11(x97571,x97572),f341(f341(f9(x97571,f889(x97573,a874),x97572),f341(f341(f10(f889(x97573,x97572),f889(f889(x97573,a874),x97572),x97571),f11(x97573,x97572)),x97574)),x97575)),x97576),f341(f341(f11(f888(x97571,x97573),x97572),f341(f262(x97571,x97573,x97572),x97574)),f341(f341(f259(x97571,x97573),x97576),f341(f18(f889(x97573,a874),x97571),x97575)))) % 197.39/197.43 [9882]~P70(x98822)+E(f341(f341(f8(x98821,x98822),f341(f341(f9(x98821,f889(x98823,a874),x98822),f341(f341(f10(f889(x98823,x98822),f889(f889(x98823,a874),x98822),x98821),f8(x98823,x98822)),f341(f9(x98823,x98821,x98822),x98824))),x98825)),x98826),f341(f341(f8(x98823,x98822),f341(f341(f9(x98823,f889(x98821,a874),x98822),f341(f341(f10(f889(x98821,x98822),f889(f889(x98821,a874),x98822),x98823),f8(x98821,x98822)),x98824)),x98826)),x98825)) % 197.39/197.43 [10232]~P1(f341(f341(f344(f888(x102321,x102322)),f341(f341(f257(x102321,x102322),x102325),x102326)),f341(f341(f125(f889(f888(x102321,x102322),a874)),x102323),x102324)))+P1(f341(f341(f341(f341(f125(f889(x102321,f889(x102322,a874))),f341(f341(f9(x102321,f889(f888(x102321,x102322),a874),f889(x102322,a874)),f341(f341(f10(f889(x102322,f889(f889(f888(x102321,x102322),a874),a874)),f889(f889(f888(x102321,x102322),a874),f889(x102322,a874)),x102321),f9(x102322,f889(f888(x102321,x102322),a874),a874)),f341(f341(f10(f889(x102322,f888(x102321,x102322)),f889(x102322,f889(f889(f888(x102321,x102322),a874),a874)),x102321),f341(f10(f888(x102321,x102322),f889(f889(f888(x102321,x102322),a874),a874),x102322),f344(f888(x102321,x102322)))),f257(x102321,x102322)))),x102323)),f341(f341(f9(x102321,f889(f888(x102321,x102322),a874),f889(x102322,a874)),f341(f341(f10(f889(x102322,f889(f889(f888(x102321,x102322),a874),a874)),f889(f889(f888(x102321,x102322),a874),f889(x102322,a874)),x102321),f9(x102322,f889(f888(x102321,x102322),a874),a874)),f341(f341(f10(f889(x102322,f888(x102321,x102322)),f889(x102322,f889(f889(f888(x102321,x102322),a874),a874)),x102321),f341(f10(f888(x102321,x102322),f889(f889(f888(x102321,x102322),a874),a874),x102322),f344(f888(x102321,x102322)))),f257(x102321,x102322)))),x102324)),x102325),x102326)) % 197.39/197.43 [10233]~P1(f341(f341(f344(f888(x102331,x102332)),f341(f341(f257(x102331,x102332),x102335),x102336)),f341(f341(f126(f889(f888(x102331,x102332),a874)),x102333),x102334)))+P1(f341(f341(f341(f341(f126(f889(x102331,f889(x102332,a874))),f341(f341(f9(x102331,f889(f888(x102331,x102332),a874),f889(x102332,a874)),f341(f341(f10(f889(x102332,f889(f889(f888(x102331,x102332),a874),a874)),f889(f889(f888(x102331,x102332),a874),f889(x102332,a874)),x102331),f9(x102332,f889(f888(x102331,x102332),a874),a874)),f341(f341(f10(f889(x102332,f888(x102331,x102332)),f889(x102332,f889(f889(f888(x102331,x102332),a874),a874)),x102331),f341(f10(f888(x102331,x102332),f889(f889(f888(x102331,x102332),a874),a874),x102332),f344(f888(x102331,x102332)))),f257(x102331,x102332)))),x102333)),f341(f341(f9(x102331,f889(f888(x102331,x102332),a874),f889(x102332,a874)),f341(f341(f10(f889(x102332,f889(f889(f888(x102331,x102332),a874),a874)),f889(f889(f888(x102331,x102332),a874),f889(x102332,a874)),x102331),f9(x102332,f889(f888(x102331,x102332),a874),a874)),f341(f341(f10(f889(x102332,f888(x102331,x102332)),f889(x102332,f889(f889(f888(x102331,x102332),a874),a874)),x102331),f341(f10(f888(x102331,x102332),f889(f889(f888(x102331,x102332),a874),a874),x102332),f344(f888(x102331,x102332)))),f257(x102331,x102332)))),x102334)),x102335),x102336)) % 197.39/197.43 [10240]P1(f341(f341(f344(f888(x102401,x102402)),f341(f341(f257(x102401,x102402),x102403),x102404)),f341(f341(f125(f889(f888(x102401,x102402),a874)),x102405),x102406)))+~P1(f341(f341(f341(f341(f125(f889(x102401,f889(x102402,a874))),f341(f341(f9(x102401,f889(f888(x102401,x102402),a874),f889(x102402,a874)),f341(f341(f10(f889(x102402,f889(f889(f888(x102401,x102402),a874),a874)),f889(f889(f888(x102401,x102402),a874),f889(x102402,a874)),x102401),f9(x102402,f889(f888(x102401,x102402),a874),a874)),f341(f341(f10(f889(x102402,f888(x102401,x102402)),f889(x102402,f889(f889(f888(x102401,x102402),a874),a874)),x102401),f341(f10(f888(x102401,x102402),f889(f889(f888(x102401,x102402),a874),a874),x102402),f344(f888(x102401,x102402)))),f257(x102401,x102402)))),x102405)),f341(f341(f9(x102401,f889(f888(x102401,x102402),a874),f889(x102402,a874)),f341(f341(f10(f889(x102402,f889(f889(f888(x102401,x102402),a874),a874)),f889(f889(f888(x102401,x102402),a874),f889(x102402,a874)),x102401),f9(x102402,f889(f888(x102401,x102402),a874),a874)),f341(f341(f10(f889(x102402,f888(x102401,x102402)),f889(x102402,f889(f889(f888(x102401,x102402),a874),a874)),x102401),f341(f10(f888(x102401,x102402),f889(f889(f888(x102401,x102402),a874),a874),x102402),f344(f888(x102401,x102402)))),f257(x102401,x102402)))),x102406)),x102403),x102404)) % 197.39/197.43 [10241]P1(f341(f341(f344(f888(x102411,x102412)),f341(f341(f257(x102411,x102412),x102413),x102414)),f341(f341(f126(f889(f888(x102411,x102412),a874)),x102415),x102416)))+~P1(f341(f341(f341(f341(f126(f889(x102411,f889(x102412,a874))),f341(f341(f9(x102411,f889(f888(x102411,x102412),a874),f889(x102412,a874)),f341(f341(f10(f889(x102412,f889(f889(f888(x102411,x102412),a874),a874)),f889(f889(f888(x102411,x102412),a874),f889(x102412,a874)),x102411),f9(x102412,f889(f888(x102411,x102412),a874),a874)),f341(f341(f10(f889(x102412,f888(x102411,x102412)),f889(x102412,f889(f889(f888(x102411,x102412),a874),a874)),x102411),f341(f10(f888(x102411,x102412),f889(f889(f888(x102411,x102412),a874),a874),x102412),f344(f888(x102411,x102412)))),f257(x102411,x102412)))),x102415)),f341(f341(f9(x102411,f889(f888(x102411,x102412),a874),f889(x102412,a874)),f341(f341(f10(f889(x102412,f889(f889(f888(x102411,x102412),a874),a874)),f889(f889(f888(x102411,x102412),a874),f889(x102412,a874)),x102411),f9(x102412,f889(f888(x102411,x102412),a874),a874)),f341(f341(f10(f889(x102412,f888(x102411,x102412)),f889(x102412,f889(f889(f888(x102411,x102412),a874),a874)),x102411),f341(f10(f888(x102411,x102412),f889(f889(f888(x102411,x102412),a874),a874),x102412),f344(f888(x102411,x102412)))),f257(x102411,x102412)))),x102416)),x102413),x102414)) % 197.39/197.43 [10226]~P1(f341(f341(f344(f888(x102262,x102263)),f341(f341(f257(x102262,x102263),x102265),x102266)),f341(f341(f42(x102261,f889(f888(x102262,x102263),a874)),f249(f889(x102261,a874))),x102264)))+P1(f341(f341(f341(f341(f42(x102261,f889(x102262,f889(x102263,a874))),f249(f889(x102261,a874))),f341(f341(f10(f889(f888(x102262,x102263),a874),f889(x102262,f889(x102263,a874)),x102261),f341(f9(x102262,f889(f888(x102262,x102263),a874),f889(x102263,a874)),f341(f341(f10(f889(x102263,f889(f889(f888(x102262,x102263),a874),a874)),f889(f889(f888(x102262,x102263),a874),f889(x102263,a874)),x102262),f9(x102263,f889(f888(x102262,x102263),a874),a874)),f341(f341(f10(f889(x102263,f888(x102262,x102263)),f889(x102263,f889(f889(f888(x102262,x102263),a874),a874)),x102262),f341(f10(f888(x102262,x102263),f889(f889(f888(x102262,x102263),a874),a874),x102263),f344(f888(x102262,x102263)))),f257(x102262,x102263))))),x102264)),x102265),x102266)) % 197.39/197.43 [10227]~P1(f341(f341(f344(f888(x102272,x102273)),f341(f341(f257(x102272,x102273),x102275),x102276)),f341(f341(f43(x102271,f889(f888(x102272,x102273),a874)),f249(f889(x102271,a874))),x102274)))+P1(f341(f341(f341(f341(f43(x102271,f889(x102272,f889(x102273,a874))),f249(f889(x102271,a874))),f341(f341(f10(f889(f888(x102272,x102273),a874),f889(x102272,f889(x102273,a874)),x102271),f341(f9(x102272,f889(f888(x102272,x102273),a874),f889(x102273,a874)),f341(f341(f10(f889(x102273,f889(f889(f888(x102272,x102273),a874),a874)),f889(f889(f888(x102272,x102273),a874),f889(x102273,a874)),x102272),f9(x102273,f889(f888(x102272,x102273),a874),a874)),f341(f341(f10(f889(x102273,f888(x102272,x102273)),f889(x102273,f889(f889(f888(x102272,x102273),a874),a874)),x102272),f341(f10(f888(x102272,x102273),f889(f889(f888(x102272,x102273),a874),a874),x102273),f344(f888(x102272,x102273)))),f257(x102272,x102273))))),x102274)),x102275),x102276)) % 197.39/197.43 [10237]P1(f341(f341(f344(f888(x102371,x102372)),f341(f341(f257(x102371,x102372),x102373),x102374)),f341(f341(f42(x102375,f889(f888(x102371,x102372),a874)),f249(f889(x102375,a874))),x102376)))+~P1(f341(f341(f341(f341(f42(x102375,f889(x102371,f889(x102372,a874))),f249(f889(x102375,a874))),f341(f341(f10(f889(f888(x102371,x102372),a874),f889(x102371,f889(x102372,a874)),x102375),f341(f9(x102371,f889(f888(x102371,x102372),a874),f889(x102372,a874)),f341(f341(f10(f889(x102372,f889(f889(f888(x102371,x102372),a874),a874)),f889(f889(f888(x102371,x102372),a874),f889(x102372,a874)),x102371),f9(x102372,f889(f888(x102371,x102372),a874),a874)),f341(f341(f10(f889(x102372,f888(x102371,x102372)),f889(x102372,f889(f889(f888(x102371,x102372),a874),a874)),x102371),f341(f10(f888(x102371,x102372),f889(f889(f888(x102371,x102372),a874),a874),x102372),f344(f888(x102371,x102372)))),f257(x102371,x102372))))),x102376)),x102373),x102374)) % 197.39/197.43 [10238]P1(f341(f341(f344(f888(x102381,x102382)),f341(f341(f257(x102381,x102382),x102383),x102384)),f341(f341(f43(x102385,f889(f888(x102381,x102382),a874)),f249(f889(x102385,a874))),x102386)))+~P1(f341(f341(f341(f341(f43(x102385,f889(x102381,f889(x102382,a874))),f249(f889(x102385,a874))),f341(f341(f10(f889(f888(x102381,x102382),a874),f889(x102381,f889(x102382,a874)),x102385),f341(f9(x102381,f889(f888(x102381,x102382),a874),f889(x102382,a874)),f341(f341(f10(f889(x102382,f889(f889(f888(x102381,x102382),a874),a874)),f889(f889(f888(x102381,x102382),a874),f889(x102382,a874)),x102381),f9(x102382,f889(f888(x102381,x102382),a874),a874)),f341(f341(f10(f889(x102382,f888(x102381,x102382)),f889(x102382,f889(f889(f888(x102381,x102382),a874),a874)),x102381),f341(f10(f888(x102381,x102382),f889(f889(f888(x102381,x102382),a874),a874),x102382),f344(f888(x102381,x102382)))),f257(x102381,x102382))))),x102386)),x102383),x102384)) % 197.39/197.43 [9261]E(x92611,x92612)+~E(f327(x92613,x92614,x92615,x92616,x92611),f327(x92613,x92614,x92615,x92617,x92612)) % 197.39/197.43 [9262]E(x92621,x92622)+~E(f327(x92623,x92624,x92625,x92621,x92626),f327(x92623,x92624,x92625,x92622,x92627)) % 197.39/197.43 [9554]E(x95541,x95542)+E(f84(x95543,x95544,f84(x95543,x95544,x95545,x95541,x95546),x95542,x95547),f84(x95543,x95544,f84(x95543,x95544,x95545,x95542,x95547),x95541,x95546)) % 197.39/197.43 [5982]~E(f341(f341(f159(x59821,x59825),x59826),x59822),f341(f341(f159(x59823,x59825),x59827),x59824))+E(f341(f194(f883(x59821)),x59822),f341(f194(f883(x59823)),x59824)) % 197.39/197.43 [6345]E(f341(x63451,f341(x63452,x63453)),f341(x63454,x63453))+~E(f341(f341(f82(x63455,x63456,x63457),x63451),x63452),x63454) % 197.39/197.43 [7473]E(f341(x74731,f341(x74732,x74733)),f341(x74734,x74733))+~E(f341(f341(f82(x74735,x74736,x74737),x74731),x74732),f341(f341(f82(x74736,x74736,x74737),f34(x74736)),x74734)) % 197.39/197.43 [8818]~P32(x88184,x88185,x88181,f341(f341(f156(x88184),x88182),x88186),f341(f341(f156(x88185),x88183),x88187))+P1(f341(f341(x88181,x88182),x88183)) % 197.39/197.43 [9191]P32(x91911,x91912,x91913,x91914,x91915)+~P32(x91911,x91912,x91913,f341(f341(f156(x91911),x91916),x91914),f341(f341(f156(x91912),x91917),x91915)) % 197.39/197.43 [9789]P1(f341(f341(x97891,x97892),f449(x97893,x97892,x97894,x97891)))+~P1(f341(f341(f258(x97895,x97896,x97897,x97891,x97894),x97892),x97893)) % 197.39/197.43 [9810]P1(f341(f341(x98101,f449(x98102,x98103,x98101,x98104)),x98102))+~P1(f341(f341(f258(x98105,x98106,x98107,x98104,x98101),x98103),x98102)) % 197.39/197.43 [6028]E(x60281,x60282)+~E(f341(f341(f341(f103(x60283),x60284),x60285),x60281),f341(f341(f341(f103(x60283),x60286),x60287),x60282)) % 197.39/197.43 [6029]E(x60291,x60292)+~E(f341(f341(f341(f103(x60293),x60294),x60291),x60295),f341(f341(f341(f103(x60293),x60296),x60292),x60297)) % 197.39/197.43 [6030]E(x60301,x60302)+~E(f341(f341(f341(f103(x60303),x60301),x60304),x60305),f341(f341(f341(f103(x60303),x60302),x60306),x60307)) % 197.39/197.43 [8411]~P24(x84116,x84111,x84113,x84117)+E(f341(f341(f82(x84111,x84111,x84112),f341(x84113,x84114)),f341(f341(f82(x84111,x84111,x84112),f341(x84113,x84114)),x84115)),f341(f341(f82(x84111,x84111,x84112),f341(x84113,x84114)),x84115)) % 197.39/197.43 [9298]~P32(x92983,x92982,x92984,f341(f341(f159(x92981,x92983),x92985),x92986),x92987)+P32(x92981,x92982,f341(f341(f10(x92983,f889(x92982,a874),x92981),x92984),x92985),x92986,x92987) % 197.39/197.43 [9321]P32(x93211,x93212,x93213,f341(f341(f159(x93214,x93211),x93215),x93216),x93217)+~P32(x93214,x93212,f341(f341(f10(x93211,f889(x93212,a874),x93214),x93213),x93215),x93216,x93217) % 197.39/197.43 [8936]~P1(f341(f341(f344(x89361),x89362),f341(f341(x89365,x89366),x89367)))+P1(f341(f341(f344(x89361),x89362),f341(f341(f262(x89363,x89364,f889(x89361,a874)),x89365),f341(f341(f257(x89363,x89364),x89366),x89367)))) % 197.39/197.43 [9216]P1(f341(f341(f341(x92161,x92162),x92163),x92164))+~P1(f341(f341(f341(f262(x92165,x92166,f889(x92167,a874)),x92161),f341(f341(f257(x92165,x92166),x92162),x92163)),x92164)) % 197.39/197.43 [9366]P1(f341(f341(f344(x93661),f341(f341(x93662,x93663),x93664)),f341(f341(f317(f888(x93665,x93666),x93661),f341(f262(x93665,x93666,x93661),x93662)),x93667)))+~P1(f341(f341(f344(f888(x93665,x93666)),f341(f341(f257(x93665,x93666),x93663),x93664)),x93667)) % 197.39/197.43 [9684]P1(f341(f341(f344(f888(f883(x96841),f883(x96841))),f341(f341(f257(f883(x96841),f883(x96841)),f341(f341(f137(x96841),x96842),f341(f341(f156(x96841),x96843),x96844))),f341(f341(f137(x96841),x96842),f341(f341(f156(x96841),x96845),x96846)))),f152(x96841,x96847)))+~P1(f341(f341(f344(f888(x96841,x96841)),f341(f341(f257(x96841,x96841),x96843),x96845)),x96847)) % 197.39/197.43 [9742]~P32(x97421,x97423,x97424,x97426,f341(f341(f159(x97422,x97423),x97425),x97427))+P32(x97421,x97422,f341(f341(f9(x97421,f889(x97422,x97423),f889(x97422,a874)),f341(f341(f10(f889(x97423,a874),f889(f889(x97422,x97423),f889(x97422,a874)),x97421),f10(x97423,a874,x97422)),x97424)),x97425),x97426,x97427) % 197.39/197.43 [9814]P32(x98141,x98142,x98143,x98144,f341(f341(f159(x98145,x98142),x98146),x98147))+~P32(x98141,x98145,f341(f341(f9(x98141,f889(x98145,x98142),f889(x98145,a874)),f341(f341(f10(f889(x98142,a874),f889(f889(x98145,x98142),f889(x98145,a874)),x98141),f10(x98142,a874,x98145)),x98143)),x98146),x98144,x98147) % 197.39/197.43 [10163]P1(f341(f341(f344(x101631),f792(x101632,x101633,x101634,x101635,x101636,x101637,x101631)),x101635))+P1(f341(f341(f341(f341(f43(x101631,f889(x101637,f889(x101636,a874))),x101635),x101634),x101633),x101632)) % 197.39/197.43 [10164]P1(f341(f341(f344(x101641),f725(x101642,x101643,x101644,x101645,x101646,x101647,x101641)),x101645))+~P1(f341(f341(f341(f341(f42(x101641,f889(x101647,f889(x101646,a874))),x101645),x101644),x101643),x101642)) % 197.39/197.43 [10198]P1(f341(f341(f341(x101981,f725(x101982,x101983,x101981,x101984,x101985,x101986,x101987)),x101983),x101982))+~P1(f341(f341(f341(f341(f42(x101987,f889(x101986,f889(x101985,a874))),x101984),x101981),x101983),x101982)) % 197.39/197.43 [10210]~P1(f341(f341(f341(x102105,f792(x102107,x102106,x102105,x102104,x102103,x102102,x102101)),x102106),x102107))+P1(f341(f341(f341(f341(f43(x102101,f889(x102102,f889(x102103,a874))),x102104),x102105),x102106),x102107)) % 197.39/197.43 [10225]~P1(f341(f341(f344(f888(x102251,x102253)),f341(f341(f257(x102251,x102253),x102256),x102257)),f341(f341(f296(x102251,x102252,x102253),x102254),x102255)))+P1(f341(f341(f258(x102251,x102252,x102253,f341(f341(f9(x102251,f889(f888(x102251,x102252),a874),f889(x102252,a874)),f341(f341(f10(f889(x102252,f889(f889(f888(x102251,x102252),a874),a874)),f889(f889(f888(x102251,x102252),a874),f889(x102252,a874)),x102251),f9(x102252,f889(f888(x102251,x102252),a874),a874)),f341(f341(f10(f889(x102252,f888(x102251,x102252)),f889(x102252,f889(f889(f888(x102251,x102252),a874),a874)),x102251),f341(f10(f888(x102251,x102252),f889(f889(f888(x102251,x102252),a874),a874),x102252),f344(f888(x102251,x102252)))),f257(x102251,x102252)))),x102254),f341(f341(f9(x102252,f889(f888(x102252,x102253),a874),f889(x102253,a874)),f341(f341(f10(f889(x102253,f889(f889(f888(x102252,x102253),a874),a874)),f889(f889(f888(x102252,x102253),a874),f889(x102253,a874)),x102252),f9(x102253,f889(f888(x102252,x102253),a874),a874)),f341(f341(f10(f889(x102253,f888(x102252,x102253)),f889(x102253,f889(f889(f888(x102252,x102253),a874),a874)),x102252),f341(f10(f888(x102252,x102253),f889(f889(f888(x102252,x102253),a874),a874),x102253),f344(f888(x102252,x102253)))),f257(x102252,x102253)))),x102255)),x102256),x102257)) % 197.39/197.43 [10236]P1(f341(f341(f344(f888(x102361,x102362)),f341(f341(f257(x102361,x102362),x102363),x102364)),f341(f341(f296(x102361,x102365,x102362),x102366),x102367)))+~P1(f341(f341(f258(x102361,x102365,x102362,f341(f341(f9(x102361,f889(f888(x102361,x102365),a874),f889(x102365,a874)),f341(f341(f10(f889(x102365,f889(f889(f888(x102361,x102365),a874),a874)),f889(f889(f888(x102361,x102365),a874),f889(x102365,a874)),x102361),f9(x102365,f889(f888(x102361,x102365),a874),a874)),f341(f341(f10(f889(x102365,f888(x102361,x102365)),f889(x102365,f889(f889(f888(x102361,x102365),a874),a874)),x102361),f341(f10(f888(x102361,x102365),f889(f889(f888(x102361,x102365),a874),a874),x102365),f344(f888(x102361,x102365)))),f257(x102361,x102365)))),x102366),f341(f341(f9(x102365,f889(f888(x102365,x102362),a874),f889(x102362,a874)),f341(f341(f10(f889(x102362,f889(f889(f888(x102365,x102362),a874),a874)),f889(f889(f888(x102365,x102362),a874),f889(x102362,a874)),x102365),f9(x102362,f889(f888(x102365,x102362),a874),a874)),f341(f341(f10(f889(x102362,f888(x102365,x102362)),f889(x102362,f889(f889(f888(x102365,x102362),a874),a874)),x102365),f341(f10(f888(x102365,x102362),f889(f889(f888(x102365,x102362),a874),a874),x102362),f344(f888(x102365,x102362)))),f257(x102365,x102362)))),x102367)),x102363),x102364)) % 197.39/197.43 [10173]~P139(x101732)+E(f341(f341(f8(x101731,x101732),f341(f341(f9(x101731,f889(x101733,a874),x101732),f341(f341(f10(f889(x101733,x101732),f889(f889(x101733,a874),x101732),x101731),f8(x101733,x101732)),f341(f341(f9(x101731,f889(x101733,x101732),f889(x101733,x101732)),f341(f341(f10(f889(x101732,x101732),f889(f889(x101733,x101732),f889(x101733,x101732)),x101731),f10(x101732,x101732,x101733)),f341(f341(f10(x101732,f889(x101732,x101732),x101731),f92(x101732)),x101734))),x101735))),x101736)),x101737),f341(f341(f92(x101732),f341(f341(f8(x101731,x101732),x101734),x101737)),f341(f341(f8(x101733,x101732),x101735),x101736))) % 197.39/197.43 [10154]~P52(x101544,x101545,x101546,x101541,x101542,x101547,x101548,x101543)+E(f341(x101541,x101542),x101543) % 197.39/197.43 [10155]~P52(x101555,x101556,x101551,x101557,x101553,x101552,x101554,x101558)+E(f341(f341(x101551,x101552),x101553),x101554) % 197.39/197.43 [9983]P1(f341(f341(x99835,f576(x99838,x99837,x99836,x99835)),f679(x99838,x99837,x99836,x99835)))+P1(f341(f341(f276(x99831,x99832,x99833,x99834,x99835,x99836),x99837),x99838)) % 197.39/197.43 [9994]~P1(f341(f341(x99946,f341(x99947,f576(x99948,x99947,x99946,x99945))),f341(x99948,f679(x99948,x99947,x99946,x99945))))+P1(f341(f341(f276(x99941,x99942,x99943,x99944,x99945,x99946),x99947),x99948)) % 197.39/197.43 [10229]P1(f341(f341(x102295,f853(x102294,x102293,x102292,x102291,x102298,x102297,x102296,x102295)),f864(x102294,x102293,x102292,x102291,x102298,x102297,x102296,x102295)))+P1(f341(f341(f276(x102291,x102292,x102293,x102294,x102295,x102296),x102297),x102298)) % 197.39/197.43 [10245]~P1(f341(f341(x102456,f341(x102457,f853(x102454,x102453,x102452,x102451,x102458,x102457,x102456,x102455))),f341(x102458,f864(x102454,x102453,x102452,x102451,x102458,x102457,x102456,x102455))))+P1(f341(f341(f276(x102451,x102452,x102453,x102454,x102455,x102456),x102457),x102458)) % 197.39/197.43 [8783]~P23(x87837,x87831,x87833,x87838)+E(f341(f341(f82(x87831,x87831,x87832),f341(x87833,x87834)),f341(f341(f82(x87831,x87831,x87832),f341(x87833,x87835)),x87836)),f341(f341(f82(x87831,x87831,x87832),f341(x87833,x87835)),f341(f341(f82(x87831,x87831,x87832),f341(x87833,x87834)),x87836))) % 197.39/197.43 [10230]E(f341(f341(f257(x102301,x102302),f341(x102303,f409(x102304,x102305,x102303,x102306,x102307,x102308,x102302,x102301))),f341(x102305,f410(x102304,x102305,x102303,x102306,x102307,x102308,x102302,x102301))),x102308)+~P1(f341(f341(f344(f888(x102301,x102302)),x102308),f341(f341(f317(f888(x102307,x102306),f888(x102301,x102302)),f263(x102307,x102301,x102306,x102302,x102303,x102305)),x102304))) % 197.39/197.43 [10246]~P1(f341(f341(f344(f888(x102468,x102467)),x102466),f341(f341(f317(f888(x102461,x102462),f888(x102468,x102467)),f263(x102461,x102468,x102462,x102467,x102465,x102464)),x102463)))+P1(f341(f341(f344(f888(x102461,x102462)),f341(f341(f257(x102461,x102462),f409(x102463,x102464,x102465,x102462,x102461,x102466,x102467,x102468)),f410(x102463,x102464,x102465,x102462,x102461,x102466,x102467,x102468))),x102463)) % 197.39/197.43 [9673]P1(f341(f341(f344(f888(f888(x96731,x96732),f888(x96731,x96732))),f341(f341(f257(f888(x96731,x96732),f888(x96731,x96732)),f341(f341(f257(x96731,x96732),x96733),x96734)),f341(f341(f257(x96731,x96732),x96735),x96736))),f333(x96731,x96732,x96737,x96738)))+~P1(f341(f341(f344(f888(x96731,x96731)),f341(f341(f257(x96731,x96731),x96733),x96735)),x96737)) % 197.39/197.43 [10220]E(f341(f147(x102201,x102202,f341(f9(x102202,x102201,x102201),x102203),f341(x102204,x102205)),x102206),f341(x102204,f341(f147(x102207,x102202,f341(f9(x102202,x102207,x102207),x102208),x102205),x102206)))+P1(f341(f341(f344(x102202),f815(x102205,x102208,x102204,x102203,x102207,x102201,x102206,x102202)),f341(f176(x102202),x102206))) % 197.39/197.43 [10239]~E(f341(f341(f82(x102391,x102391,x102397),f341(x102393,f815(x102395,x102398,x102394,x102393,x102397,x102391,x102396,x102392))),x102394),f341(f341(f82(x102397,x102391,x102397),x102394),f341(x102398,f815(x102395,x102398,x102394,x102393,x102397,x102391,x102396,x102392))))+E(f341(f147(x102391,x102392,f341(f9(x102392,x102391,x102391),x102393),f341(x102394,x102395)),x102396),f341(x102394,f341(f147(x102397,x102392,f341(f9(x102392,x102397,x102397),x102398),x102395),x102396))) % 197.39/197.43 [7485]E(f341(x74851,f341(x74852,x74853)),f341(x74854,f341(x74855,x74853)))+~E(f341(f341(f82(x74856,x74857,x74858),x74851),x74852),f341(f341(f82(x74859,x74857,x74858),x74854),x74855)) % 197.39/197.43 [10084]P1(f341(f341(f344(f888(x100841,x100842)),f341(f341(f257(x100841,x100842),f341(x100843,x100844)),f341(x100845,x100846))),f341(f341(f317(f888(x100847,x100848),f888(x100841,x100842)),f263(x100847,x100841,x100848,x100842,x100843,x100845)),x100849)))+~P1(f341(f341(f344(f888(x100847,x100848)),f341(f341(f257(x100847,x100848),x100844),x100846)),x100849)) % 197.39/197.43 [7993]~E(f341(x79934,f341(x79935,x79936)),f341(x79939,f341(x799310,x799311)))+E(f341(f341(f341(f82(x79931,x79932,x79933),x79934),x79935),x79936),f341(f341(f341(f82(x79937,x79932,x79938),x79939),x799310),x799311)) % 197.39/197.43 [4595]~P101(x45951)+~P94(x45951)+E(f192(x45951),f125(x45951)) % 197.39/197.43 [4596]~P101(x45961)+~P100(x45961)+E(f246(x45961),f126(x45961)) % 197.39/197.43 [4820]~P114(x48201)+~P89(x48201)+E(f341(f85(x48201),f341(f118(x48201),a100)),f89(x48201)) % 197.39/197.43 [5101]E(x51011,f2(a1))+E(f93(a1,x51011),f341(f90(a1),f89(a1)))+P1(f341(f341(f242(a1),f2(a1)),x51011)) % 197.39/197.43 [5302]E(x53021,f2(a1))+E(f93(a1,x53021),f89(a1))+~P1(f341(f341(f242(a1),f2(a1)),x53021)) % 197.39/197.43 [6710]~P36(x67101)+P1(f341(f72(a1),x67101))+~P1(f341(f72(a881),f341(f341(f317(a1,a881),a119),x67101))) % 197.39/197.43 [9639]E(x96391,f193(f889(f888(a881,a881),a874)))+~P1(f341(f72(f888(a881,a881)),x96391))+P1(f341(f341(f344(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),f193(f889(f888(a881,a881),a874))),x96391)),a36)) % 197.39/197.43 [9790]E(x97901,f2(a881))+E(x97901,f341(a128,f2(a881)))+~P1(f341(f341(f242(a881),x97901),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))) % 197.39/197.43 [10113]E(x101131,f2(a115))+E(f341(f341(f91(a1),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(a23,f341(f341(f38(a115),x101131),f341(f118(a115),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))))),f89(a1)),f341(a23,x101131))+E(f57(a115,x101131,f341(f118(a115),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f2(a115)) % 197.39/197.43 [9921]E(x99211,f2(a115))+~E(f57(a115,x99211,f341(f118(a115),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f2(a115))+E(f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(a23,f341(f341(f38(a115),x99211),f341(f118(a115),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))),f341(a23,x99211)) % 197.39/197.43 [4666]~P56(x46661,x46662)+P39(x46661,x46662)+~P40(a874) % 197.39/197.43 [4605]~P2(x46051)+P29(x46051,x46052)+~E(x46052,f2(x46051)) % 197.39/197.43 [4606]~P101(x46061)+P16(x46061,x46062)+~E(x46062,f129(x46061)) % 197.39/197.43 [4615]~P114(x46151)+~E(x46152,f2(x46151))+E(f93(x46151,x46152),f2(x46151)) % 197.39/197.43 [4616]~P84(x46161)+~E(x46162,f2(x46161))+E(f93(x46161,x46162),f2(x46161)) % 197.39/197.43 [4624]~P2(x46242)+~P29(x46242,x46241)+E(x46241,f2(x46242)) % 197.39/197.43 [4658]~P114(x46582)+~E(f93(x46582,x46581),f2(x46582))+E(x46581,f2(x46582)) % 197.39/197.43 [4673]~P9(x46732)+~P9(x46731)+P9(f200(x46731,x46732)) % 197.39/197.43 [4674]~P61(x46742)+~P61(x46741)+P61(f889(x46741,x46742)) % 197.39/197.43 [4675]~P61(x46752)+~P61(x46751)+P61(f887(x46751,x46752)) % 197.39/197.43 [4676]~P61(x46762)+~P61(x46761)+P61(f888(x46761,x46762)) % 197.39/197.43 [4677]~P62(x46772)+~P62(x46771)+P62(f889(x46771,x46772)) % 197.39/197.43 [4678]~P62(x46782)+~P62(x46781)+P62(f887(x46781,x46782)) % 197.39/197.43 [4679]~P62(x46792)+~P62(x46791)+P62(f888(x46791,x46792)) % 197.39/197.43 [4791]~P101(x47911)+~P16(x47911,x47912)+P16(x47911,f157(x47911,x47912)) % 197.39/197.43 [5022]~P9(x50222)+~P9(x50221)+P9(f57(a1,x50221,x50222)) % 197.39/197.43 [4626]~P71(x46261)+~E(x46262,f2(x46261))+E(f341(f90(x46261),x46262),x46262) % 197.39/197.43 [4630]~P88(x46301)+~E(x46302,f2(a1))+E(f341(f117(x46301),x46302),f2(x46301)) % 197.39/197.43 [4631]~P113(x46311)+~E(x46312,f2(a1))+E(f341(f117(x46311),x46312),f2(x46311)) % 197.39/197.43 [4655]~P73(x46551)+~E(f2(x46551),x46552)+E(f341(f90(x46551),x46552),f2(x46551)) % 197.39/197.43 [4656]~P73(x46561)+~E(x46562,f2(x46561))+E(f341(f90(x46561),x46562),f2(x46561)) % 197.39/197.43 [4657]~P81(x46571)+~E(x46572,f2(x46571))+E(f341(f85(x46571),x46572),f2(x46571)) % 197.39/197.43 [4681]~P71(x46812)+E(x46811,f2(x46812))+~E(f341(f90(x46812),x46811),x46811) % 197.39/197.43 [4687]E(x46871,f341(a119,x46872))+~E(x46871,f2(a881))+~E(x46872,f341(f116(a1),x46871)) % 197.39/197.43 [4688]E(f341(a119,x46881),x46882)+~E(x46882,f2(a881))+~E(x46881,f341(f116(a1),x46882)) % 197.39/197.43 [4692]~P88(x46922)+E(x46921,f2(a1))+~E(f341(f117(x46922),x46921),f2(x46922)) % 197.39/197.43 [4696]~P73(x46962)+E(x46961,f2(x46962))+~E(f341(f90(x46962),x46961),f2(x46962)) % 197.39/197.43 [4697]~P81(x46972)+E(x46971,f2(x46972))+~E(f341(f85(x46972),x46971),f2(x46972)) % 197.39/197.43 [4698]~P73(x46981)+E(f2(x46981),x46982)+~E(f341(f90(x46981),x46982),f2(x46981)) % 197.39/197.43 [4865]~P101(x48651)+~P16(x48651,x48652)+P16(x48651,f341(f175(x48651),x48652)) % 197.39/197.43 [4890]~P1(x48902)+~P1(x48901)+P1(f341(f341(a339,x48901),x48902)) % 197.39/197.43 [4956]~P109(x49561)+~P139(x49561)+E(f341(f341(f251(x49561),f2(x49561)),f341(a128,x49562)),f2(x49561)) % 197.39/197.43 [4996]~P101(x49961)+P16(x49961,f144(x49961,x49962))+~P1(f341(f72(x49961),x49962)) % 197.39/197.43 [5015]~P101(x50151)+E(f341(f176(x50151),f144(x50151,x50152)),x50152)+~P1(f341(f72(x50151),x50152)) % 197.39/197.43 [5051]P1(x50511)+P1(x50512)+~P1(f341(f341(a340,x50512),x50511)) % 197.39/197.43 [5064]E(x50641,f193(f889(x50642,a874)))+~E(f341(f37(x50642),x50641),f2(a881))+~P1(f341(f72(x50642),x50641)) % 197.39/197.43 [5069]P1(x50691)+~P1(x50692)+~P1(f341(f341(a345,x50692),x50691)) % 197.39/197.43 [5119]~P68(x51191)+E(f341(f85(x51191),x51192),x51192)+P1(f341(f341(f242(x51191),x51192),f2(x51191))) % 197.39/197.43 [5120]~P8(x51202)+~P35(x51202,x51202,x51201)+E(f341(x51201,f113(x51202,x51201)),f113(x51202,x51201)) % 197.39/197.43 [5121]~P8(x51212)+~P35(x51212,x51212,x51211)+E(f341(x51211,f112(x51212,x51211)),f112(x51212,x51211)) % 197.39/197.43 [5182]~P61(x51822)+~P1(f341(f68(x51822),x51821))+P1(f341(x51821,f458(x51821,x51822))) % 197.39/197.43 [5183]~P61(x51832)+~P1(f341(f68(x51832),x51831))+P1(f341(x51831,f482(x51831,x51832))) % 197.39/197.43 [5223]E(x52231,f129(x52232))+P1(f341(f142(x52232),f130(x52232,x52231)))+~P1(f341(f142(x52232),x52231)) % 197.39/197.43 [5228]~P101(x52281)+~P1(f341(f72(x52281),x52282))+P1(f341(f142(x52281),f144(x52281,x52282))) % 197.39/197.43 [5233]~P113(x52331)+E(f341(f116(x52331),f341(a119,x52332)),f341(f117(x52331),x52332))+P1(f341(f341(f242(a1),x52332),f2(a1))) % 197.39/197.43 [5261]P10(x52612,x52611)+E(f341(x52611,f846(x52611)),f341(x52611,f848(x52611)))+P1(f341(f341(x52611,f846(x52611)),f848(x52611))) % 197.39/197.43 [5272]E(f341(f116(a1),f753(x52721,x52722)),x52721)+P1(f341(x52722,f341(a119,x52721)))+~P1(f341(x52722,f2(a881))) % 197.39/197.43 [5309]~P114(x53091)+~E(f93(x53091,x53092),f341(f90(x53091),f89(x53091)))+P1(f341(f341(f242(x53091),x53092),f2(x53091))) % 197.39/197.43 [5384]~E(x53842,f2(a1))+E(f222(x53841,x53842),f341(f341(f257(a1,a1),f2(a1)),f89(a1)))+P1(f341(f341(f242(a1),x53842),f2(a1))) % 197.39/197.43 [5385]~E(x53851,f2(a1))+E(f222(x53851,x53852),f341(f341(f257(a1,a1),f2(a1)),f89(a1)))+P1(f341(f341(f242(a1),x53852),f2(a1))) % 197.39/197.43 [5437]E(f341(f116(a1),f753(x54371,x54372)),x54371)+P1(f341(x54372,f341(a119,x54371)))+P1(f341(f341(f242(a1),x54371),f2(a1))) % 197.39/197.43 [5502]~P114(x55021)+E(f93(x55021,x55022),f341(f90(x55021),f89(x55021)))+~P1(f341(f341(f242(x55021),x55022),f2(x55021))) % 197.39/197.43 [5503]~P81(x55031)+E(f341(f85(x55031),x55032),f341(f90(x55031),x55032))+~P1(f341(f341(f242(x55031),x55032),f2(x55031))) % 197.39/197.43 [5504]~P81(x55041)+E(f341(f85(x55041),x55042),f341(f90(x55041),x55042))+~P1(f341(f341(f241(x55041),x55042),f2(x55041))) % 197.39/197.43 [5505]~P68(x55051)+E(f341(f85(x55051),x55052),f341(f90(x55051),x55052))+~P1(f341(f341(f242(x55051),x55052),f2(x55051))) % 197.39/197.43 [5591]~P1(f341(x55911,f753(x55912,x55911)))+P1(f341(x55911,f341(a119,x55912)))+~P1(f341(x55911,f2(a881))) % 197.39/197.43 [5598]E(x55981,f2(a881))+E(f341(a128,f700(x55982,x55981)),x55981)+~P1(f341(f341(f242(a881),x55981),f341(a128,x55982))) % 197.39/197.43 [5602]P10(x56021,x56022)+~E(f341(x56022,f846(x56022)),f341(x56022,f848(x56022)))+~P1(f341(f341(x56022,f846(x56022)),f848(x56022))) % 197.39/197.43 [5620]~P101(x56201)+P16(x56201,x56202)+P1(f341(f341(f241(a881),f666(x56202,x56201)),f667(x56202,x56201))) % 197.39/197.43 [5621]~P101(x56211)+P16(x56211,x56212)+P1(f341(f341(f241(a881),f675(x56212,x56211)),f676(x56212,x56211))) % 197.39/197.43 [5706]~P81(x57061)+~E(x57062,f2(x57061))+P1(f341(f341(f241(x57061),f341(f85(x57061),x57062)),f2(x57061))) % 197.39/197.43 [5804]~P1(f341(x58041,f753(x58042,x58041)))+P1(f341(x58041,f341(a119,x58042)))+P1(f341(f341(f242(a1),x58042),f2(a1))) % 197.39/197.43 [5830]~P1(f341(x58301,f341(a119,x58302)))+P1(f341(x58301,f2(a881)))+~P1(f341(f341(f242(a1),x58302),f2(a1))) % 197.39/197.43 [6173]~P114(x61731)+~P1(f341(f341(f242(x61731),x61732),f2(x61731)))+P1(f341(f341(f242(x61731),f93(x61731,x61732)),f2(x61731))) % 197.39/197.43 [6291]~P114(x62911)+P1(f341(f341(f242(x62911),f341(f117(x62911),x62912)),f2(x62911)))+~P1(f341(f341(f242(a1),x62912),f2(a1))) % 197.39/197.43 [6292]~P114(x62921)+P1(f341(f341(f241(x62921),f341(f117(x62921),x62922)),f2(x62921)))+~P1(f341(f341(f241(a1),x62922),f2(a1))) % 197.39/197.43 [6297]~P81(x62972)+E(x62971,f2(x62972))+~P1(f341(f341(f241(x62972),f341(f85(x62972),x62971)),f2(x62972))) % 197.39/197.43 [6389]~P113(x63891)+~P1(f341(f341(f344(x63891),x63892),f124(x63891)))+P1(f341(f341(f344(x63891),f341(f90(x63891),x63892)),f124(x63891))) % 197.39/197.43 [6419]~P114(x64191)+~P1(f341(f341(f242(x64191),f93(x64191,x64192)),f2(x64191)))+P1(f341(f341(f242(x64191),x64192),f2(x64191))) % 197.39/197.43 [6500]~P105(x65001)+P44(a881,x65001,f294(a881),x65002)+P1(f341(f341(f294(a881),f419(x65002,x65001)),f433(x65002,x65001))) % 197.39/197.43 [6598]~P114(x65982)+~P1(f341(f341(f242(x65982),f341(f117(x65982),x65981)),f2(x65982)))+P1(f341(f341(f242(a1),x65981),f2(a1))) % 197.39/197.43 [6599]~P114(x65992)+~P1(f341(f341(f241(x65992),f341(f117(x65992),x65991)),f2(x65992)))+P1(f341(f341(f241(a1),x65991),f2(a1))) % 197.39/197.43 [6689]~P8(x66891)+~P35(x66891,x66891,x66892)+P1(f341(f341(f241(x66891),f341(x66892,f113(x66891,x66892))),f113(x66891,x66892))) % 197.39/197.43 [6690]~P8(x66901)+~P35(x66901,x66901,x66902)+P1(f341(f341(f241(x66901),f341(x66902,f112(x66901,x66902))),f112(x66901,x66902))) % 197.39/197.43 [7122]~P71(x71221)+~P1(f341(f341(f242(x71221),x71222),f2(x71221)))+P1(f341(f341(f242(x71221),f341(f341(f91(x71221),x71222),x71222)),f2(x71221))) % 197.39/197.43 [7123]~P114(x71231)+~P1(f341(f341(f242(x71231),x71232),f2(x71231)))+P1(f341(f341(f242(x71231),f341(f341(f91(x71231),x71232),x71232)),f2(x71231))) % 197.39/197.43 [7124]~P71(x71241)+~P1(f341(f341(f241(x71241),x71242),f2(x71241)))+P1(f341(f341(f241(x71241),f341(f341(f91(x71241),x71242),x71242)),f2(x71241))) % 197.39/197.43 [7680]~P71(x76801)+~P1(f341(f341(f242(x76801),f341(f341(f91(x76801),x76802),x76802)),f2(x76801)))+P1(f341(f341(f242(x76801),x76802),f2(x76801))) % 197.39/197.43 [7681]~P114(x76811)+~P1(f341(f341(f242(x76811),f341(f341(f91(x76811),x76812),x76812)),f2(x76811)))+P1(f341(f341(f242(x76811),x76812),f2(x76811))) % 197.39/197.43 [7682]~P71(x76821)+~P1(f341(f341(f241(x76821),f341(f341(f91(x76821),x76822),x76822)),f2(x76821)))+P1(f341(f341(f241(x76821),x76822),f2(x76821))) % 197.39/197.43 [4732]~E(x47322,f2(a881))+~E(x47321,f2(a881))+E(f341(f341(f91(a881),x47321),x47322),f2(a881)) % 197.39/197.43 [4733]~E(x47332,f89(a881))+~E(x47331,f89(a881))+E(f341(f341(f92(a881),x47331),x47332),f89(a881)) % 197.39/197.43 [4734]~E(x47342,f89(a1))+~E(x47341,f89(a1))+E(f341(f341(f92(a1),x47341),x47342),f89(a1)) % 197.39/197.43 [4778]~P59(x47782)+E(x47781,f2(x47782))+E(f341(f341(f38(x47782),x47781),x47781),f89(x47782)) % 197.39/197.43 [4779]~P118(x47792)+E(x47791,f2(x47792))+E(f341(f341(f298(x47792),x47791),x47791),f89(x47792)) % 197.39/197.43 [4780]~P119(x47802)+E(x47801,f2(x47802))+E(f341(f341(f298(x47802),x47801),x47801),f89(x47802)) % 197.39/197.43 [4796]~P71(x47961)+~E(x47962,f2(x47961))+E(f341(f341(f91(x47961),x47962),x47962),f2(x47961)) % 197.39/197.43 [4799]~P136(x47991)+~E(x47992,f89(x47991))+E(f341(f341(f92(x47991),x47992),x47992),f89(x47991)) % 197.39/197.43 [4800]~P119(x48001)+~E(x48002,f2(x48001))+E(f341(f341(f298(x48001),x48002),x48002),f2(x48001)) % 197.39/197.43 [4845]~E(x48452,f2(a881))+~E(x48451,f2(a881))+E(f341(f90(a1),f341(f116(a1),x48451)),f341(f116(a1),x48452)) % 197.39/197.43 [4862]E(x48621,f89(a881))+E(x48622,f2(a881))+~E(f341(f341(f92(a881),x48622),x48621),x48622) % 197.39/197.43 [4872]E(x48721,f2(a881))+E(x48722,f2(a881))+~E(f341(f341(f92(a881),x48722),x48721),f2(a881)) % 197.39/197.43 [4899]~E(x48992,f2(a881))+~E(x48991,f341(a128,f2(a881)))+E(f341(f341(f91(a881),x48991),x48992),f341(a128,f2(a881))) % 197.39/197.43 [4900]~E(x49001,f2(a881))+~E(x49002,f341(a128,f2(a881)))+E(f341(f341(f91(a881),x49001),x49002),f341(a128,f2(a881))) % 197.39/197.43 [4905]E(x49051,f89(a1))+E(x49052,f341(f118(a1),a100))+~E(f341(f341(f92(a1),x49051),x49052),f89(a1)) % 197.39/197.43 [4906]E(x49061,f89(a1))+E(x49062,f341(f118(a1),a100))+~E(f341(f341(f92(a1),x49062),x49061),f89(a1)) % 197.39/197.43 [4907]E(x49071,f89(a1))+E(x49071,f341(f118(a1),a100))+~E(f341(f341(f92(a1),x49072),x49071),f89(a1)) % 197.39/197.43 [4909]E(x49091,f89(a1))+E(x49091,f341(f118(a1),a100))+~E(f341(f341(f92(a1),x49091),x49092),f89(a1)) % 197.39/197.43 [4930]~P71(x49302)+E(x49301,f2(x49302))+~E(f341(f341(f91(x49302),x49301),x49301),f2(x49302)) % 197.39/197.43 [4936]~E(x49361,f341(f118(a1),a100))+~E(x49362,f341(f118(a1),a100))+E(f341(f341(f92(a1),x49361),x49362),f89(a1)) % 197.39/197.43 [4947]E(x49471,f2(a881))+E(x49472,f2(a881))+~E(f341(f341(f91(a881),x49472),x49471),f341(a128,f2(a881))) % 197.39/197.43 [4955]~P89(x49551)+~P63(x49551)+E(f341(f341(f298(x49551),x49552),f341(f118(x49551),a94)),f2(x49551)) % 197.39/197.43 [4962]~P136(x49621)+~E(x49622,f341(f90(x49621),f89(x49621)))+E(f341(f341(f92(x49621),x49622),x49622),f89(x49621)) % 197.39/197.43 [4967]~P9(x49672)+~P9(x49671)+P9(f341(f341(f91(a1),x49671),x49672)) % 197.39/197.43 [4968]~P9(x49682)+~P9(x49681)+P9(f341(f341(f92(a1),x49681),x49682)) % 197.39/197.43 [4969]~P9(x49692)+~P9(x49691)+P9(f341(f341(f38(a1),x49691),x49692)) % 197.39/197.43 [4971]~E(x49712,f2(a1))+E(x49711,f2(a1))+E(f58(x49711,x49712),f341(f341(f257(a1,a1),f2(a1)),x49711)) % 197.39/197.43 [4994]~E(x49942,f341(a128,f2(a881)))+~E(x49941,f341(a128,f2(a881)))+E(f341(f341(f92(a881),x49941),x49942),f341(a128,f2(a881))) % 197.39/197.43 [5007]E(x50071,f2(a881))+E(x50072,f341(a128,f2(a881)))+~E(f341(f341(f251(a881),x50072),x50071),f341(a128,f2(a881))) % 197.39/197.43 [5008]E(x50081,f2(a881))+E(x50081,f341(a128,f2(a881)))+~E(f341(f341(f91(a881),x50082),x50081),f341(a128,f2(a881))) % 197.39/197.43 [5009]E(x50091,f2(a881))+E(x50091,f341(a128,f2(a881)))+~E(f341(f341(f91(a881),x50091),x50092),f341(a128,f2(a881))) % 197.39/197.43 [5016]~P89(x50161)+~P63(x50161)+E(f341(f341(f298(x50161),x50162),f341(f118(x50161),a100)),f341(f90(x50161),x50162)) % 197.39/197.43 [5035]E(x50351,f341(a119,x50352))+~E(x50351,f2(a881))+P1(f341(f341(f241(a1),f2(a1)),x50352)) % 197.39/197.43 [5036]E(f341(a119,x50361),x50362)+~E(x50362,f2(a881))+P1(f341(f341(f241(a1),f2(a1)),x50361)) % 197.39/197.43 [5060]E(x50601,f341(a128,f2(a881)))+E(x50602,f341(a128,f2(a881)))+~E(f341(f341(f91(a881),x50601),x50602),f341(a128,f2(a881))) % 197.39/197.43 [5071]~E(x50711,f341(a119,x50712))+E(x50711,f2(a881))+P1(f341(f341(f241(a1),f2(a1)),x50712)) % 197.39/197.43 [5072]~E(f341(a119,x50722),x50721)+E(x50721,f2(a881))+P1(f341(f341(f241(a1),f2(a1)),x50722)) % 197.39/197.43 [5097]~P95(x50971)+E(f341(f74(x50971,f125(x50971)),x50972),f12(x50971,x50972))+~P1(f341(f72(x50971),x50972)) % 197.39/197.43 [5098]~P95(x50981)+E(f341(f74(x50981,f126(x50981)),x50982),f13(x50981,x50982))+~P1(f341(f72(x50981),x50982)) % 197.39/197.43 [5099]~P101(x50991)+E(f341(f74(x50991,f246(x50991)),x50992),f16(x50991,x50992))+~P1(f341(f72(x50991),x50992)) % 197.39/197.43 [5100]~P101(x51001)+E(f341(f74(x51001,f192(x51001)),x51002),f17(x51001,x51002))+~P1(f341(f72(x51001),x51002)) % 197.39/197.43 [5177]E(x51771,x51772)+~E(f341(f341(f3(a881),x51772),x51771),f2(a881))+~E(f341(f341(f3(a881),x51771),x51772),f2(a881)) % 197.39/197.43 [5191]P9(x51911)+~P36(x51912)+~P1(f341(f341(f344(a1),x51911),x51912)) % 197.39/197.43 [5224]~P114(x52241)+~E(f93(x52241,x52242),f89(x52241))+P1(f341(f341(f242(x52241),f2(x52241)),x52242)) % 197.39/197.43 [5234]~P89(x52341)+E(f341(f116(x52341),f341(f118(a881),x52342)),f341(f118(x52341),x52342))+P1(f341(a198,f341(f118(a1),x52342))) % 197.39/197.43 [5239]~P39(x52391,x52392)+P40(a874)+P1(f341(f72(f888(x52391,x52391)),x52392)) % 197.39/197.43 [5303]~P101(x53031)+E(f341(f74(x53031,f246(x53031)),x53032),f14(x53031,f246(x53031),x53032))+~P1(f341(f72(x53031),x53032)) % 197.39/197.43 [5304]~P101(x53041)+E(f341(f74(x53041,f192(x53041)),x53042),f15(x53041,f192(x53041),x53042))+~P1(f341(f72(x53041),x53042)) % 197.39/197.43 [5316]E(x53161,x53162)+P1(f341(f341(f242(a881),x53162),x53161))+P1(f341(f341(f242(a881),x53161),x53162)) % 197.39/197.43 [5317]E(x53171,x53172)+P1(f341(f341(f242(a1),x53172),x53171))+P1(f341(f341(f242(a1),x53171),x53172)) % 197.39/197.43 [5367]~P89(x53671)+E(f341(f116(x53671),f341(f118(a881),x53672)),f2(x53671))+~P1(f341(a198,f341(f118(a1),x53672))) % 197.39/197.43 [5370]~E(x53702,f341(a119,x53701))+E(x53701,f341(f116(a1),x53702))+~P1(f341(f341(f241(a1),f2(a1)),x53701)) % 197.39/197.43 [5371]~E(f341(a119,x53711),x53712)+E(x53711,f341(f116(a1),x53712))+~P1(f341(f341(f241(a1),f2(a1)),x53711)) % 197.39/197.43 [5372]~E(x53721,f341(a119,x53722))+E(f341(f116(a1),x53721),x53722)+~P1(f341(f341(f241(a1),f2(a1)),x53722)) % 197.39/197.43 [5386]E(x53861,f341(a119,x53862))+~E(x53862,f341(f116(a1),x53861))+~P1(f341(f341(f241(a1),f2(a1)),x53862)) % 197.39/197.43 [5387]E(f341(a119,x53871),x53872)+~E(x53871,f341(f116(a1),x53872))+~P1(f341(f341(f241(a1),f2(a1)),x53871)) % 197.39/197.43 [5419]~P108(x54192)+E(x54191,f2(x54192))+~P1(f341(f341(f294(x54192),f2(x54192)),x54191)) % 197.39/197.43 [5428]~P81(x54282)+E(x54281,f2(x54282))+P1(f341(f341(f242(x54282),f2(x54282)),f341(f85(x54282),x54281))) % 197.39/197.43 [5493]~P114(x54931)+E(f93(x54931,x54932),f89(x54931))+~P1(f341(f341(f242(x54931),f2(x54931)),x54932)) % 197.39/197.43 [5499]~P89(x54991)+E(f341(f116(x54991),f341(f118(a881),x54992)),f2(x54991))+P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x54992))) % 197.39/197.43 [5506]~P81(x55061)+E(f341(f85(x55061),x55062),x55062)+~P1(f341(f341(f242(x55061),f2(x55061)),x55062)) % 197.39/197.43 [5507]~P81(x55071)+E(f341(f85(x55071),x55072),x55072)+~P1(f341(f341(f241(x55071),f2(x55071)),x55072)) % 197.39/197.43 [5514]E(x55141,f2(a881))+~E(f144(a881,f341(f309(a881,x55142),x55141)),f129(a881))+P1(f341(f341(f241(a881),x55141),x55142)) % 197.39/197.43 [5520]~P70(x55201)+E(f341(f341(f8(x55201,x55201),f7(x55201)),f341(f176(x55201),x55202)),f341(f170(x55201),x55202))+~P1(f341(f142(x55201),x55202)) % 197.39/197.43 [5523]~P113(x55231)+E(f341(f116(x55231),f341(a119,x55232)),f341(f117(x55231),x55232))+~P1(f341(f341(f241(a1),f2(a1)),x55232)) % 197.39/197.43 [5547]E(x55471,x55472)+P1(f341(f341(f242(a881),x55471),x55472))+~P1(f341(f341(f241(a881),x55471),x55472)) % 197.39/197.43 [5548]E(x55481,x55482)+P1(f341(f341(f242(a1),x55481),x55482))+~P1(f341(f341(f241(a1),x55481),x55482)) % 197.39/197.43 [5551]E(x55511,f89(a1))+~E(f341(f341(f92(a1),x55512),x55511),f89(a1))+~P1(f341(f341(f242(a1),f2(a1)),x55512)) % 197.39/197.43 [5552]E(x55521,f89(a1))+~E(f341(f341(f92(a1),x55521),x55522),f89(a1))+~P1(f341(f341(f242(a1),f2(a1)),x55521)) % 197.39/197.43 [5589]~P36(x55892)+P1(f341(f341(f241(a1),f2(a1)),x55891))+~P1(f341(f341(f344(a1),x55891),x55892)) % 197.39/197.43 [5607]~P56(x56071,x56072)+P34(x56071,x56072)+~P1(f341(f72(f888(x56071,x56071)),x56072)) % 197.39/197.43 [5609]~P56(x56091,x56092)+P39(x56091,x56092)+~P1(f341(f72(f888(x56091,x56091)),x56092)) % 197.39/197.43 [5650]E(x56501,f193(f889(x56502,a874)))+~P1(f341(f72(x56502),x56501))+P1(f341(f341(f242(a881),f2(a881)),f341(f37(x56502),x56501))) % 197.39/197.43 [5676]~P1(f341(x56761,x56762))+P1(f341(x56761,f2(a881)))+P1(f341(f341(f242(a881),f837(x56762,x56761)),x56762)) % 197.39/197.43 [5699]E(x56991,f2(a881))+~E(f341(f170(a881),x56992),f2(a881))+~P1(f341(f341(f344(a881),x56991),f341(f176(a881),x56992))) % 197.39/197.43 [5773]~E(x57732,f2(a881))+P1(f341(f341(f241(a1),f2(a1)),x57731))+P1(f341(f341(f294(a881),f341(a119,x57731)),x57732)) % 197.39/197.43 [5776]E(x57761,x57762)+~P1(f341(f341(f241(a881),x57762),x57761))+~P1(f341(f341(f241(a881),x57761),x57762)) % 197.39/197.43 [5777]E(x57771,x57772)+~P1(f341(f341(f241(a1),x57772),x57771))+~P1(f341(f341(f241(a1),x57771),x57772)) % 197.39/197.43 [5786]E(x57861,x57862)+~P1(f341(f341(f294(a881),x57862),x57861))+~P1(f341(f341(f294(a881),x57861),x57862)) % 197.39/197.43 [5793]E(f62(x57931,x57932),f58(x57931,x57932))+P1(f341(f341(f241(a1),f2(a1)),x57931))+~P1(f341(f341(f242(a1),f2(a1)),x57932)) % 197.39/197.43 [5817]~P1(f341(x58171,f842(x58171)))+P1(f341(x58171,f341(a119,x58172)))+~P1(f341(f341(f241(a1),f2(a1)),x58172)) % 197.39/197.43 [5820]P1(f341(f341(f242(a881),x58201),f602(x58202)))+~P1(f341(f72(a881),x58202))+~P1(f341(f341(f344(a881),x58201),x58202)) % 197.39/197.43 [5821]P1(f341(f341(f241(a881),x58211),f599(x58212)))+~P1(f341(f72(a881),x58212))+~P1(f341(f341(f344(a881),x58211),x58212)) % 197.39/197.43 [5852]E(x58521,x58522)+~P1(f341(f341(f242(a881),x58521),f341(a128,x58522)))+P1(f341(f341(f242(a881),x58521),x58522)) % 197.39/197.43 [5890]E(x58901,f341(a128,x58902))+~P1(f341(f341(f241(a881),x58901),f341(a128,x58902)))+P1(f341(f341(f241(a881),x58901),x58902)) % 197.39/197.43 [5902]P1(f341(x59021,f843(x59021)))+~P1(f341(x59021,f341(a119,x59022)))+~P1(f341(f341(f241(a1),f2(a1)),x59022)) % 197.39/197.43 [5904]E(f341(f85(a1),x59041),f341(f85(a1),x59042))+~P1(f341(f341(f294(a1),x59042),x59041))+~P1(f341(f341(f294(a1),x59041),x59042)) % 197.39/197.43 [5917]~P1(f341(x59171,x59172))+~P1(f341(f341(f241(a1),f2(a1)),x59172))+P1(f341(x59171,f341(f116(a1),f838(x59171)))) % 197.39/197.43 [5929]~P81(x59292)+~E(x59291,f2(x59292))+~P1(f341(f341(f242(x59292),f2(x59292)),f341(f85(x59292),x59291))) % 197.39/197.43 [5959]~P56(x59591,x59592)+P34(x59591,f341(f293(x59591,x59591),x59592))+~P1(f341(f72(f888(x59591,x59591)),x59592)) % 197.39/197.43 [5969]~P89(x59691)+E(f341(f116(x59691),f341(f118(a881),x59692)),f341(f118(x59691),x59692))+~P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x59692))) % 197.39/197.43 [5973]E(f341(a128,x59731),x59732)+~P1(f341(f341(f242(a881),x59731),x59732))+P1(f341(f341(f242(a881),f341(a128,x59731)),x59732)) % 197.39/197.43 [5974]~P9(x59742)+~P9(x59741)+E(f341(f341(f317(a881,a1),f116(a1)),f310(a881,f341(a119,x59741),f341(a119,x59742))),f310(a1,x59741,x59742)) % 197.39/197.43 [5987]E(f341(f341(f38(a1),x59871),x59872),f2(a1))+~P1(f341(f341(f241(a1),x59871),f2(a1)))+~P1(f341(f341(f242(a1),x59872),x59871)) % 197.39/197.43 [5998]E(f57(a1,x59981,x59982),x59981)+~P1(f341(f341(f241(a1),x59981),f2(a1)))+~P1(f341(f341(f242(a1),x59982),x59981)) % 197.39/197.43 [6012]E(f59(x60121,x60122),f58(x60121,x60122))+~P1(f341(f341(f241(a1),f2(a1)),x60121))+~P1(f341(f341(f241(a1),f2(a1)),x60122)) % 197.39/197.43 [6020]E(f341(f341(f38(a1),x60201),x60202),f2(a1))+~P1(f341(f341(f241(a1),f2(a1)),x60201))+~P1(f341(f341(f242(a1),x60201),x60202)) % 197.39/197.43 [6035]E(f57(a881,f341(f118(a881),x60351),f341(f118(a881),x60352)),f341(f118(a881),x60351))+P1(f341(a198,f341(f118(a1),x60351)))+~P1(f341(a198,f341(f118(a1),x60352))) % 197.39/197.43 [6037]E(f57(a1,x60371,x60372),x60371)+~P1(f341(f341(f241(a1),f2(a1)),x60371))+~P1(f341(f341(f242(a1),x60371),x60372)) % 197.39/197.43 [6039]E(x60391,x60392)+~P1(f341(f341(f242(a881),x60391),f341(a128,x60392)))+~P1(f341(f341(f241(a881),x60392),x60391)) % 197.39/197.43 [6052]~P114(x60521)+~P1(f341(f341(f242(x60521),x60522),f2(x60521)))+P1(f341(f341(f242(x60521),x60522),f341(f90(x60521),x60522))) % 197.39/197.43 [6053]~P71(x60531)+~P1(f341(f341(f241(x60531),x60532),f2(x60531)))+P1(f341(f341(f241(x60531),x60532),f341(f90(x60531),x60532))) % 197.39/197.43 [6078]~P121(x60781)+~P1(f341(f341(f242(a881),f2(a881)),x60782))+P1(f341(f341(f242(x60781),f2(x60781)),f341(f116(x60781),x60782))) % 197.39/197.43 [6079]~P114(x60791)+~P1(f341(f341(f242(a1),f2(a1)),x60792))+P1(f341(f341(f242(x60791),f2(x60791)),f341(f117(x60791),x60792))) % 197.39/197.43 [6080]~P114(x60801)+~P1(f341(f341(f241(a1),f2(a1)),x60802))+P1(f341(f341(f241(x60801),f2(x60801)),f341(f117(x60801),x60802))) % 197.39/197.43 [6088]P1(f341(x60881,x60882))+~P1(f341(f341(f241(a1),f2(a1)),x60882))+~P1(f341(x60881,f341(f116(a1),f839(x60881)))) % 197.39/197.43 [6114]E(f341(f341(f91(a881),f341(f118(a881),x61141)),f341(f118(a881),x61142)),f341(f118(a881),x61141))+P1(f341(f341(f242(a1),x61141),a94))+~P1(f341(f341(f242(a1),x61142),a94)) % 197.39/197.43 [6118]~P114(x61181)+P1(f341(f341(f242(x61181),f2(x61181)),f93(x61181,x61182)))+~P1(f341(f341(f242(x61181),f2(x61181)),x61182)) % 197.39/197.43 [6131]~P80(x61311)+~P1(f341(f341(f242(x61311),x61312),f2(x61311)))+P1(f341(f341(f242(x61311),f2(x61311)),f341(f90(x61311),x61312))) % 197.39/197.43 [6132]~P80(x61321)+~P1(f341(f341(f241(x61321),x61322),f2(x61321)))+P1(f341(f341(f241(x61321),f2(x61321)),f341(f90(x61321),x61322))) % 197.39/197.43 [6135]E(x61351,f2(a881))+P1(f341(f341(f241(a1),f2(a1)),x61352))+~P1(f341(f341(f294(a881),f341(a119,x61352)),x61351)) % 197.39/197.43 [6137]E(x61371,f249(f889(x61372,a874)))+~E(f341(f37(x61372),x61371),f341(f37(x61372),f249(f889(x61372,a874))))+~P1(f341(f72(x61372),f249(f889(x61372,a874)))) % 197.39/197.43 [6158]~P1(f341(f341(f242(a881),f2(a881)),x61582))+~P1(f341(f341(f294(a881),x61581),x61582))+P1(f341(f341(f241(a881),x61581),x61582)) % 197.39/197.43 [6159]~P1(f341(f341(f242(a1),f2(a1)),x61592))+~P1(f341(f341(f294(a1),x61591),x61592))+P1(f341(f341(f241(a1),x61591),x61592)) % 197.39/197.43 [6165]~P114(x61651)+P1(f341(f341(f242(x61651),x61652),f2(x61651)))+~P1(f341(f341(f242(x61651),x61652),f341(f90(x61651),x61652))) % 197.39/197.43 [6166]~P71(x61661)+P1(f341(f341(f241(x61661),x61662),f2(x61661)))+~P1(f341(f341(f241(x61661),x61662),f341(f90(x61661),x61662))) % 197.39/197.43 [6175]~P89(x61751)+P1(f341(f341(f344(x61751),f341(f118(x61751),x61752)),f189(x61751)))+~P1(f341(f341(f241(a1),a94),x61752)) % 197.39/197.43 [6204]E(x62041,f2(a881))+~P1(f341(f341(f242(a881),x62041),f341(a128,x62042)))+P1(f341(f341(f242(a881),f700(x62042,x62041)),x62042)) % 197.39/197.43 [6228]~P114(x62281)+~P1(f341(f341(f242(x62281),f2(x62281)),f93(x62281,x62282)))+P1(f341(f341(f242(x62281),f2(x62281)),x62282)) % 197.39/197.43 [6230]~E(f341(f118(a881),x62302),f341(f118(a881),x62301))+P1(f341(f341(f241(a1),f341(f118(a1),x62301)),f2(a1)))+~P1(f341(a198,f341(f118(a1),x62302))) % 197.39/197.43 [6255]E(f341(f256(a1,a1),f62(x62551,x62552)),f341(f341(f38(a1),x62551),x62552))+~P1(f341(f341(f242(a1),x62551),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x62552)) % 197.39/197.43 [6294]E(f341(f261(a1,a1),f62(x62941,x62942)),f57(a1,x62941,x62942))+~P1(f341(f341(f242(a1),x62941),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x62942)) % 197.39/197.43 [6296]E(x62961,f2(a1))+~P1(f341(f341(f294(a1),x62962),x62961))+P1(f341(f341(f241(a1),f341(f85(a1),x62962)),f341(f85(a1),x62961))) % 197.39/197.43 [6298]~P121(x62982)+~P1(f341(f341(f242(x62982),f2(x62982)),f341(f116(x62982),x62981)))+P1(f341(f341(f242(a881),f2(a881)),x62981)) % 197.39/197.43 [6299]~P114(x62992)+~P1(f341(f341(f242(x62992),f2(x62992)),f341(f117(x62992),x62991)))+P1(f341(f341(f242(a1),f2(a1)),x62991)) % 197.39/197.43 [6300]~P114(x63002)+~P1(f341(f341(f241(x63002),f2(x63002)),f341(f117(x63002),x63001)))+P1(f341(f341(f241(a1),f2(a1)),x63001)) % 197.39/197.43 [6304]~E(x63042,f2(a881))+P1(f341(f341(f294(a881),f341(a119,x63041)),x63042))+~P1(f341(f341(f294(a1),x63041),f341(f116(a1),x63042))) % 197.39/197.43 [6305]E(f341(f256(a1,a1),f59(x63051,x63052)),f341(f341(f38(a1),x63051),x63052))+~P1(f341(f341(f242(a1),f2(a1)),x63051))+~P1(f341(f341(f241(a1),f2(a1)),x63052)) % 197.39/197.43 [6321]E(f341(f261(a1,a1),f59(x63211,x63212)),f57(a1,x63211,x63212))+~P1(f341(f341(f242(a1),f2(a1)),x63211))+~P1(f341(f341(f241(a1),f2(a1)),x63212)) % 197.39/197.43 [6337]~P80(x63371)+P1(f341(f341(f242(x63371),x63372),f2(x63371)))+~P1(f341(f341(f242(x63371),f2(x63371)),f341(f90(x63371),x63372))) % 197.39/197.43 [6338]~P80(x63381)+P1(f341(f341(f241(x63381),x63382),f2(x63381)))+~P1(f341(f341(f241(x63381),f2(x63381)),f341(f90(x63381),x63382))) % 197.39/197.43 [6366]~P8(x63661)+~P35(x63661,x63661,x63662)+P1(f341(f341(f241(x63661),f113(x63661,x63662)),f341(x63662,f113(x63661,x63662)))) % 197.39/197.43 [6367]~P8(x63671)+~P35(x63671,x63671,x63672)+P1(f341(f341(f241(x63671),f112(x63671,x63672)),f341(x63672,f112(x63671,x63672)))) % 197.39/197.43 [6371]P1(f341(f61(x63711,x63712),f62(x63711,x63712)))+~P1(f341(f341(f242(a1),x63711),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x63712)) % 197.39/197.43 [6387]~P1(f341(f341(f242(a881),f2(a881)),x63871))+~P1(f341(f341(f294(a881),x63872),x63871))+~P1(f341(f341(f242(a881),x63871),x63872)) % 197.39/197.43 [6388]~P1(f341(f341(f242(a1),f2(a1)),x63881))+~P1(f341(f341(f294(a1),x63882),x63881))+~P1(f341(f341(f242(a1),x63881),x63882)) % 197.39/197.43 [6397]P1(f341(f61(x63971,x63972),f59(x63971,x63972)))+~P1(f341(f341(f242(a1),f2(a1)),x63972))+~P1(f341(f341(f241(a1),f2(a1)),x63971)) % 197.39/197.43 [6443]~P80(x64431)+P1(f341(f341(f242(x64431),f341(f90(x64431),x64432)),f2(x64431)))+~P1(f341(f341(f242(x64431),f2(x64431)),x64432)) % 197.39/197.43 [6444]~P80(x64441)+P1(f341(f341(f241(x64441),f341(f90(x64441),x64442)),f2(x64441)))+~P1(f341(f341(f241(x64441),f2(x64441)),x64442)) % 197.39/197.43 [6465]E(f341(f341(f3(a881),f341(a119,x64651)),f341(a119,x64652)),f341(a119,f200(x64651,x64652)))+~P1(f341(f341(f241(a1),f2(a1)),x64652))+~P1(f341(f341(f241(a1),f2(a1)),x64651)) % 197.39/197.43 [6483]P1(f341(f341(f241(a1),f2(a1)),f200(x64831,x64832)))+~P1(f341(f341(f241(a1),f2(a1)),x64832))+~P1(f341(f341(f241(a1),f2(a1)),x64831)) % 197.39/197.43 [6520]~P1(f341(x65201,x65202))+P1(f341(x65201,f2(a881)))+P1(f341(x65201,f341(f341(f91(a881),f837(x65202,x65201)),f89(a881)))) % 197.39/197.43 [6606]E(f341(f118(a881),x66061),f341(f118(a881),x66062))+~P1(f341(f341(f241(a1),f341(f118(a1),x66062)),f2(a1)))+~P1(f341(a198,f341(f118(a1),x66061))) % 197.39/197.43 [6620]~E(x66201,f2(a881))+~E(f772(x66202,x66201),f2(a881))+E(f341(f147(a881,a881,f91(a881),x66201),x66202),f2(a881)) % 197.39/197.43 [6647]~P1(f341(f72(x66471),f701(x66472,x66471)))+~P1(f341(f72(f889(x66471,a874)),x66472))+P1(f341(f72(x66471),f39(f889(x66471,a874),x66472))) % 197.39/197.43 [6653]E(x66531,x66532)+P1(f341(f341(f242(a1),x66531),x66532))+~P1(f341(f341(f242(a1),x66531),f341(f341(f91(a1),x66532),f89(a1)))) % 197.39/197.43 [6655]P1(f341(f341(f242(a881),f341(a119,x66551)),f341(a119,x66552)))+~P1(f341(f341(f242(a1),f2(a1)),x66552))+~P1(f341(f341(f242(a1),x66551),x66552)) % 197.39/197.43 [6656]P1(f341(f341(f242(a881),f341(a119,x66561)),f341(a119,x66562)))+~P1(f341(f341(f241(a1),f2(a1)),x66561))+~P1(f341(f341(f242(a1),x66561),x66562)) % 197.39/197.43 [6657]P1(f341(f341(f241(a881),f341(a119,x66571)),f341(a119,x66572)))+~P1(f341(f341(f242(a1),f2(a1)),x66571))+~P1(f341(f341(f241(a1),x66571),x66572)) % 197.39/197.43 [6658]P1(f341(f341(f241(a881),f341(a119,x66581)),f341(a119,x66582)))+~P1(f341(f341(f241(a1),f2(a1)),x66582))+~P1(f341(f341(f241(a1),x66581),x66582)) % 197.39/197.43 [6669]E(f57(a881,f341(a119,x66691),f341(a119,x66692)),f341(a119,f57(a1,x66691,x66692)))+~P1(f341(f341(f241(a1),f2(a1)),x66692))+~P1(f341(f341(f241(a1),f2(a1)),x66691)) % 197.39/197.43 [6693]~P80(x66931)+~P1(f341(f341(f242(x66931),f341(f90(x66931),x66932)),f2(x66931)))+P1(f341(f341(f242(x66931),f2(x66931)),x66932)) % 197.39/197.43 [6694]~P80(x66941)+~P1(f341(f341(f241(x66941),f341(f90(x66941),x66942)),f2(x66941)))+P1(f341(f341(f241(x66941),f2(x66941)),x66942)) % 197.39/197.43 [6708]~P1(f341(f341(f242(a1),a94),x67082))+~P1(f341(f341(f242(a1),x67081),x67082))+P1(f341(f341(f242(a881),f341(f118(a881),x67081)),f341(f118(a881),x67082))) % 197.39/197.43 [6797]~P1(f341(f341(f241(a1),f2(a1)),x67971))+P1(f341(f341(f242(a881),f341(a119,x67971)),x67972))+~P1(f341(f341(f242(a1),x67971),f341(f116(a1),x67972))) % 197.39/197.43 [6798]~P1(f341(f341(f241(a1),f2(a1)),x67981))+P1(f341(f341(f294(a881),f341(a119,x67981)),x67982))+~P1(f341(f341(f294(a1),x67981),f341(f116(a1),x67982))) % 197.39/197.43 [6803]P1(f341(x68031,x68032))+~P1(f341(x68031,f341(a22,f406(x68031,x68032))))+~P1(f341(f341(f344(a881),x68032),f249(f889(a881,a874)))) % 197.39/197.43 [6812]E(x68121,f2(a1))+E(f57(a1,x68122,x68121),f2(a1))+E(f341(f341(f3(a1),f341(f90(a1),f341(f341(f38(a1),x68122),x68121))),f89(a1)),f341(f341(f38(a1),x68122),f341(f90(a1),x68121))) % 197.39/197.43 [6827]~P1(f341(f341(f241(a1),f2(a1)),x68271))+~P1(f341(f341(f242(a881),f341(a119,x68271)),x68272))+P1(f341(f341(f242(a1),x68271),f341(f116(a1),x68272))) % 197.39/197.43 [6828]~P1(f341(f341(f241(a1),f2(a1)),x68281))+~P1(f341(f341(f294(a881),f341(a119,x68281)),x68282))+P1(f341(f341(f294(a1),x68281),f341(f116(a1),x68282))) % 197.39/197.43 [6867]~P1(f341(f341(f241(a881),f341(a119,x68671)),f341(a119,x68672)))+~P1(f341(f341(f242(a1),f2(a1)),x68671))+P1(f341(f341(f241(a1),x68671),x68672)) % 197.39/197.43 [6868]~P1(f341(f341(f241(a881),f341(a119,x68681)),f341(a119,x68682)))+~P1(f341(f341(f241(a1),f2(a1)),x68682))+P1(f341(f341(f241(a1),x68681),x68682)) % 197.39/197.43 [6898]P1(f341(f341(f241(a1),x68981),x68982))+~P1(f341(f341(f241(a881),f341(f118(a881),x68981)),f341(f118(a881),x68982)))+P1(f341(f341(f241(a1),x68981),a94)) % 197.39/197.43 [6928]P1(f341(f341(f241(a1),f2(a1)),f57(a1,x69281,x69282)))+~P1(f341(f341(f241(a1),f2(a1)),x69282))+~P1(f341(f341(f241(a1),f2(a1)),x69281)) % 197.39/197.43 [7029]P1(f341(f341(f242(a1),a94),x70291))+~P1(f341(f341(f242(a1),x70292),x70291))+~P1(f341(f341(f242(a881),f341(f118(a881),x70292)),f341(f118(a881),x70291))) % 197.39/197.43 [7082]E(f341(f341(f257(a1,a1),f341(f341(f38(a1),x70821),x70822)),f57(a1,x70821,x70822)),f62(x70821,x70822))+~P1(f341(f341(f242(a1),x70821),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x70822)) % 197.39/197.43 [7103]E(f341(f341(f257(a1,a1),f341(f341(f38(a1),x71031),x71032)),f57(a1,x71031,x71032)),f59(x71031,x71032))+~P1(f341(f341(f241(a1),f2(a1)),x71032))+~P1(f341(f341(f241(a1),f2(a1)),x71031)) % 197.39/197.43 [7158]~P93(x71582)+E(x71581,f129(x71582))+E(f341(f147(x71582,x71582,f92(x71582),f341(f146(x71582),x71581)),f341(f175(x71582),x71581)),f341(f74(x71582,f92(x71582)),f341(f176(x71582),x71581))) % 197.39/197.43 [7261]~E(x72611,f2(a881))+E(f341(f147(a881,a881,f91(a881),x72611),x72612),f2(a881))+P1(f341(f341(f344(a881),f772(x72612,x72611)),f341(f176(a881),x72612))) % 197.39/197.43 [7314]~P1(f341(f341(f242(a1),x73142),f2(a1)))+P1(f341(f341(f242(a1),f341(f341(f38(a1),x73141),x73142)),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x73141)) % 197.39/197.43 [7316]~P1(f341(f341(f242(a1),x73161),f2(a1)))+P1(f341(f341(f242(a1),f341(f341(f38(a1),x73161),x73162)),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x73162)) % 197.39/197.43 [7317]~P1(f341(f341(f242(a1),x73172),f2(a1)))+P1(f341(f341(f241(a1),f341(f341(f38(a1),x73171),x73172)),f2(a1)))+~P1(f341(f341(f241(a1),f2(a1)),x73171)) % 197.39/197.43 [7318]~P1(f341(f341(f241(a1),x73181),f2(a1)))+P1(f341(f341(f241(a1),f341(f341(f38(a1),x73181),x73182)),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x73182)) % 197.39/197.43 [7326]P1(f341(f341(f344(f889(x73261,a874)),f701(x73262,x73261)),x73262))+~P1(f341(f72(f889(x73261,a874)),x73262))+P1(f341(f72(x73261),f39(f889(x73261,a874),x73262))) % 197.39/197.43 [7338]P18(x73381,x73381,x73382,f249(f889(x73381,a874)))+~E(f341(f341(f317(x73381,x73381),x73382),f249(f889(x73381,a874))),f249(f889(x73381,a874)))+~P1(f341(f72(x73381),f249(f889(x73381,a874)))) % 197.39/197.43 [7477]~P18(x74771,x74771,x74772,f249(f889(x74771,a874)))+E(f341(f341(f317(x74771,x74771),x74772),f249(f889(x74771,a874))),f249(f889(x74771,a874)))+~P1(f341(f72(x74771),f249(f889(x74771,a874)))) % 197.39/197.43 [7674]E(f341(f341(f38(a1),x76741),x76742),f341(f118(a1),a100))+~P1(f341(f341(f241(a1),f341(f341(f91(a1),x76741),x76742)),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x76741)) % 197.39/197.43 [7733]~P1(f341(f341(f242(a1),x77332),f2(a1)))+~P1(f341(f341(f242(a1),f341(f341(f38(a1),x77331),x77332)),f2(a1)))+P1(f341(f341(f242(a1),f2(a1)),x77331)) % 197.39/197.43 [7737]E(f341(f341(f91(a1),x77371),x77372),f57(a1,x77371,x77372))+~P1(f341(f341(f241(a1),f341(f341(f91(a1),x77371),x77372)),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x77371)) % 197.39/197.43 [7740]P1(f341(f341(f242(a1),x77401),f2(a1)))+~P1(f341(f341(f242(a1),f341(f341(f38(a1),x77401),x77402)),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x77402)) % 197.39/197.43 [7984]~P105(x79841)+P44(a881,x79841,f294(a881),x79842)+~P1(f341(f341(f241(x79841),f341(x79842,f419(x79842,x79841))),f341(x79842,f433(x79842,x79841)))) % 197.39/197.43 [8438]~P101(x84381)+P16(x84381,x84382)+~P1(f341(f341(f241(x84381),f341(f341(f169(x84381),x84382),f666(x84382,x84381))),f341(f341(f169(x84381),x84382),f667(x84382,x84381)))) % 197.39/197.43 [8439]~P101(x84391)+P16(x84391,x84392)+~P1(f341(f341(f241(x84391),f341(f341(f169(x84391),x84392),f675(x84392,x84391))),f341(f341(f169(x84391),x84392),f676(x84392,x84391)))) % 197.39/197.43 [5644]E(x56441,f2(a1))+~E(f57(a1,x56442,x56441),f2(a1))+E(f341(f341(f38(a1),x56442),f341(f90(a1),x56441)),f341(f90(a1),f341(f341(f38(a1),x56442),x56441))) % 197.39/197.43 [5661]~P36(x56612)+~P36(x56611)+P36(f341(f341(f125(f889(a1,a874)),x56611),x56612)) % 197.39/197.43 [5662]~P36(x56622)+~P36(x56621)+P36(f341(f341(f126(f889(a1,a874)),x56621),x56622)) % 197.39/197.43 [5679]~P89(x56791)+~P63(x56791)+E(f341(f90(x56791),f341(f341(f298(x56791),f89(x56791)),x56792)),f341(f341(f298(x56791),f341(f118(x56791),a100)),x56792)) % 197.39/197.43 [5809]E(x58091,f2(a1))+~E(f57(a1,x58092,x58091),f2(a1))+E(f341(f341(f38(a1),f341(f90(a1),x58092)),x58091),f341(f90(a1),f341(f341(f38(a1),x58092),x58091))) % 197.39/197.43 [5953]~P101(x59531)+P16(x59531,x59532)+P1(f341(f341(f242(a881),f667(x59532,x59531)),f341(f194(f883(x59531)),x59532))) % 197.39/197.43 [5954]~P101(x59541)+P16(x59541,x59542)+P1(f341(f341(f242(a881),f676(x59542,x59541)),f341(f194(f883(x59541)),x59542))) % 197.39/197.43 [6110]~P89(x61101)+~E(f341(f118(x61101),x61102),f2(x61101))+P29(x61101,f341(f118(x61101),f341(f341(f91(a1),x61102),f341(f90(a1),a94)))) % 197.39/197.43 [6111]~P89(x61111)+~E(f341(f118(x61111),x61112),f2(x61111))+P29(x61111,f341(f118(x61111),f341(f341(f91(a1),a94),f341(f90(a1),x61112)))) % 197.39/197.43 [6113]E(f341(a63,f59(f341(f90(a1),x61131),f341(f90(a1),x61132))),f58(x61131,x61132))+P1(f341(f341(f242(a1),f2(a1)),x61132))+P1(f341(f341(f241(a1),f2(a1)),x61131)) % 197.39/197.43 [6234]~E(x62342,f2(a881))+~E(x62341,f2(a881))+P1(f341(f341(f241(a1),f341(f116(a1),x62341)),f341(f90(a1),f341(f116(a1),x62342)))) % 197.39/197.43 [6261]E(f341(f341(f91(a881),f341(f118(a881),x62611)),f341(f118(a881),x62612)),f341(f118(a881),f341(f341(f91(a1),x62611),x62612)))+P1(f341(f341(f242(a1),x62611),a94))+P1(f341(f341(f242(a1),x62612),a94)) % 197.39/197.43 [6406]~P71(x64061)+~P1(f341(f341(f242(x64061),f2(x64061)),x64062))+P1(f341(f341(f242(x64061),f341(f90(x64061),x64062)),x64062)) % 197.39/197.43 [6407]~P71(x64071)+~P1(f341(f341(f241(x64071),f2(x64071)),x64072))+P1(f341(f341(f241(x64071),f341(f90(x64071),x64072)),x64072)) % 197.39/197.43 [6591]E(f341(f341(f3(a881),f341(a119,x65911)),f341(a119,x65912)),f341(a119,f341(f341(f3(a1),x65911),x65912)))+~P1(f341(f341(f241(a1),f2(a1)),x65912))+~P1(f341(f341(f241(a1),x65912),x65911)) % 197.39/197.43 [6628]E(f341(a119,f57(a1,f341(f118(a1),x66281),f341(f118(a1),x66282))),f57(a881,f341(f118(a881),x66281),f341(f118(a881),x66282)))+P1(f341(a198,f341(f118(a1),x66281)))+P1(f341(a198,f341(f118(a1),x66282))) % 197.39/197.43 [6648]~P71(x66481)+P1(f341(f341(f242(x66481),f2(x66481)),x66482))+~P1(f341(f341(f242(x66481),f341(f90(x66481),x66482)),x66482)) % 197.39/197.43 [6649]~P71(x66491)+P1(f341(f341(f241(x66491),f2(x66491)),x66492))+~P1(f341(f341(f241(x66491),f341(f90(x66491),x66492)),x66492)) % 197.39/197.43 [6660]~P71(x66601)+~P1(f341(f341(f242(x66601),f2(x66601)),x66602))+P1(f341(f341(f242(x66601),f2(x66601)),f341(f341(f91(x66601),x66602),x66602))) % 197.39/197.43 [6662]~P71(x66621)+~P1(f341(f341(f241(x66621),f2(x66621)),x66622))+P1(f341(f341(f241(x66621),f2(x66621)),f341(f341(f91(x66621),x66622),x66622))) % 197.39/197.43 [6673]E(f341(f341(f91(a881),f341(a119,x66731)),f341(a119,x66732)),f341(a119,f341(f341(f91(a1),x66731),x66732)))+~P1(f341(f341(f241(a1),f2(a1)),x66732))+~P1(f341(f341(f241(a1),f2(a1)),x66731)) % 197.39/197.43 [6685]E(x66851,f2(a881))+P1(f341(f341(f242(a881),f2(a881)),x66852))+~P1(f341(f341(f242(a881),f2(a881)),f341(f341(f251(a881),x66852),x66851))) % 197.39/197.43 [6717]~P89(x67171)+E(f341(f118(x67171),x67172),f2(x67171))+~P29(x67171,f341(f118(x67171),f341(f341(f91(a1),a94),f341(f90(a1),x67172)))) % 197.39/197.43 [6718]~P89(x67181)+E(f341(f118(x67181),x67182),f2(x67181))+~P29(x67181,f341(f118(x67181),f341(f341(f91(a1),x67182),f341(f90(a1),a94)))) % 197.39/197.43 [6773]~P1(f341(f72(x67731),x67732))+~P1(f341(f72(x67731),f249(f889(x67731,a874))))+P1(f341(f72(x67731),f341(f90(f889(x67731,a874)),x67732))) % 197.39/197.43 [6799]~P1(f341(f341(f242(a1),f2(a1)),x67992))+~P1(f341(f341(f241(a1),x67992),x67991))+P1(f341(f341(f242(a1),f2(a1)),f341(f341(f38(a1),x67991),x67992))) % 197.39/197.43 [6800]~P1(f341(f341(f242(a1),x68002),f2(a1)))+~P1(f341(f341(f241(a1),x68001),f2(a1)))+P1(f341(f341(f241(a1),f2(a1)),f341(f341(f38(a1),x68001),x68002))) % 197.39/197.43 [6836]~P1(f341(f341(f242(a881),f2(a881)),x68362))+~P1(f341(f341(f242(a881),f2(a881)),x68361))+P1(f341(f341(f242(a881),f2(a881)),f341(f341(f92(a881),x68361),x68362))) % 197.39/197.43 [6837]~P1(f341(f341(f241(a1),f2(a1)),x68372))+~P1(f341(f341(f241(a1),f2(a1)),x68371))+P1(f341(f341(f241(a1),f2(a1)),f341(f341(f91(a1),x68371),x68372))) % 197.39/197.43 [6838]~P1(f341(f341(f241(a1),f2(a1)),x68382))+~P1(f341(f341(f241(a1),f2(a1)),x68381))+P1(f341(f341(f241(a1),f2(a1)),f341(f341(f92(a1),x68381),x68382))) % 197.39/197.43 [6839]~P1(f341(f341(f242(a1),f2(a1)),x68392))+~P1(f341(f341(f241(a1),f2(a1)),x68391))+P1(f341(f341(f241(a1),f2(a1)),f341(f341(f38(a1),x68391),x68392))) % 197.39/197.43 [6840]~P1(f341(f341(f241(a1),f2(a1)),x68402))+~P1(f341(f341(f241(a1),f2(a1)),x68401))+P1(f341(f341(f241(a1),f2(a1)),f341(f341(f38(a1),x68401),x68402))) % 197.39/197.43 [6914]E(x69141,f2(a1))+E(f57(a1,x69142,x69141),f2(a1))+E(f341(f341(f3(a1),f341(f90(a1),f341(f341(f38(a1),x69142),x69141))),f89(a1)),f341(f341(f38(a1),f341(f90(a1),x69142)),x69141)) % 197.39/197.43 [6978]P1(f341(f341(f242(a881),f2(a881)),x69781))+P1(f341(f341(f242(a881),f2(a881)),x69782))+~P1(f341(f341(f242(a881),f2(a881)),f341(f341(f91(a881),x69782),x69781))) % 197.39/197.43 [6979]~P71(x69791)+P1(f341(f341(f242(x69791),f2(x69791)),x69792))+~P1(f341(f341(f242(x69791),f2(x69791)),f341(f341(f91(x69791),x69792),x69792))) % 197.39/197.43 [6980]~P71(x69801)+P1(f341(f341(f241(x69801),f2(x69801)),x69802))+~P1(f341(f341(f241(x69801),f2(x69801)),f341(f341(f91(x69801),x69802),x69802))) % 197.39/197.43 [7030]~P1(f341(f72(x70301),x70302))+P1(f341(f72(x70301),f249(f889(x70301,a874))))+~P1(f341(f72(x70301),f341(f90(f889(x70301,a874)),x70302))) % 197.39/197.43 [7094]P1(f341(f341(f241(a1),x70941),f2(a1)))+~P1(f341(f341(f242(a1),x70942),f2(a1)))+~P1(f341(f341(f241(a1),f2(a1)),f341(f341(f38(a1),x70941),x70942))) % 197.39/197.43 [7101]~P1(f341(f341(f242(a1),f2(a1)),x71011))+P1(f341(f341(f241(a1),x71011),x71012))+~P1(f341(f341(f242(a1),f2(a1)),f341(f341(f38(a1),x71012),x71011))) % 197.39/197.43 [7102]~P1(f341(f341(f241(a1),f2(a1)),x71022))+P1(f341(f341(f241(a1),x71021),x71022))+~P1(f341(f341(f242(a1),f2(a1)),f341(f341(f38(a1),x71022),x71021))) % 197.39/197.43 [7133]P1(f341(f341(f242(a1),f2(a1)),x71331))+~P1(f341(f341(f241(a1),f2(a1)),x71332))+~P1(f341(f341(f242(a1),f2(a1)),f341(f341(f38(a1),x71332),x71331))) % 197.39/197.43 [7134]P1(f341(f341(f241(a1),f2(a1)),x71341))+~P1(f341(f341(f242(a1),f2(a1)),x71342))+~P1(f341(f341(f241(a1),f2(a1)),f341(f341(f38(a1),x71341),x71342))) % 197.39/197.43 [7568]~P1(f341(f72(x75682),f249(f889(x75682,a874))))+~P1(f341(f72(x75681),f249(f889(x75681,a874))))+P1(f341(f72(f887(x75681,x75682)),f249(f889(f887(x75681,x75682),a874)))) % 197.39/197.43 [7569]~P1(f341(f72(x75692),f249(f889(x75692,a874))))+~P1(f341(f72(x75691),f249(f889(x75691,a874))))+P1(f341(f72(f888(x75691,x75692)),f249(f889(f888(x75691,x75692),a874)))) % 197.39/197.43 [7638]~P1(f341(f341(f242(a881),f341(a128,f2(a881))),x76381))+~P1(f341(f341(f242(a881),f341(a128,f2(a881))),x76382))+P1(f341(f341(f242(a881),x76381),f341(f341(f92(a881),x76382),x76381))) % 197.39/197.43 [7639]~P1(f341(f341(f242(a881),f341(a128,f2(a881))),x76391))+~P1(f341(f341(f242(a881),f341(a128,f2(a881))),x76392))+P1(f341(f341(f242(a881),x76391),f341(f341(f92(a881),x76391),x76392))) % 197.39/197.43 [7673]E(f341(f37(x76731),f249(f889(x76731,a874))),f341(a128,f2(a881)))+P1(f341(f72(x76732),f249(f889(x76732,a874))))+~P1(f341(f72(f889(x76732,x76731)),f249(f889(f889(x76732,x76731),a874)))) % 197.39/197.43 [7798]~P1(f341(f341(f242(a881),f341(a128,f2(a881))),x77982))+~P1(f341(f341(f242(a881),f341(a128,f2(a881))),x77981))+P1(f341(f341(f242(a881),f341(a128,f2(a881))),f341(f341(f92(a881),x77981),x77982))) % 197.39/197.43 [7799]~P1(f341(f341(f241(a881),f341(a128,f2(a881))),x77991))+~P1(f341(f341(f241(a881),f341(a128,f2(a881))),x77992))+P1(f341(f341(f241(a881),f341(a128,f2(a881))),f341(f341(f92(a881),x77991),x77992))) % 197.39/197.43 [8145]~P105(x81451)+P35(a881,x81451,x81452)+~P1(f341(f341(f241(x81451),f341(x81452,f394(x81452,x81451))),f341(x81452,f341(a128,f394(x81452,x81451))))) % 197.39/197.43 [8485]E(x84851,f129(x84852))+~P1(f341(f142(x84852),x84851))+E(f180(x84852,f341(f341(f10(a874,a874,x84852),a336),f341(f341(f9(x84852,x84852,a874),a338),f149(x84852,x84851))),x84851),f130(x84852,x84851)) % 197.39/197.43 [9247]~P89(x92471)+~E(f341(f118(x92471),x92472),f89(x92471))+P29(x92471,f341(f118(x92471),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f90(a1),x92472)))) % 197.39/197.43 [9480]~P89(x94801)+E(f341(f118(x94801),x94802),f89(x94801))+~P29(x94801,f341(f118(x94801),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f90(a1),x94802)))) % 197.39/197.43 [9896]~P105(x98962)+P45(a881,x98962,f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x98961)+P1(f341(f341(f294(a881),f431(x98961,x98962)),f432(x98961,x98962))) % 197.39/197.43 [9899]~P105(x98991)+P45(a881,x98991,f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x98992)+~P1(f341(f341(f294(a881),f432(x98992,x98991)),f431(x98992,x98991))) % 197.39/197.43 [9900]~P105(x99001)+P45(a881,x99001,f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x99002)+~P1(f341(f341(f242(x99001),f341(x99002,f431(x99002,x99001))),f341(x99002,f432(x99002,x99001)))) % 197.39/197.43 [9987]~P105(x99871)+P44(a881,x99871,f294(a881),x99872)+~P45(a881,x99871,f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x99872) % 197.39/197.43 [10243]E(x102431,f2(a1))+E(x102432,f2(a1))+E(f341(f263(a1,a1,a1,a1,f34(a1),f341(f92(a1),f93(a1,x102432))),f341(f341(f341(f111(f888(a1,a1)),f341(f341(a338,f93(a1,x102431)),f93(a1,x102432))),f65(x102431,x102432)),f341(f341(f262(a1,a1,f888(a1,a1)),f341(f341(f20(a1,f889(a1,f888(a1,a1)),f889(a1,f888(a1,a1))),f341(f341(f10(f889(a1,f889(f888(a1,a1),f888(a1,a1))),f889(f889(a1,f888(a1,a1)),f889(a1,f888(a1,a1))),a1),f20(a1,f888(a1,a1),f888(a1,a1))),f341(f341(f10(f888(a1,a1),f889(a1,f889(f888(a1,a1),f888(a1,a1))),a1),f341(f9(a1,f888(a1,a1),f889(f888(a1,a1),f888(a1,a1))),f341(f341(f10(a874,f889(f888(a1,a1),f889(f888(a1,a1),f888(a1,a1))),a1),f111(f888(a1,a1))),f341(f341(f9(a1,a1,a874),a338),f2(a1))))),f341(f341(f9(a1,a1,f888(a1,a1)),f341(f341(f10(a1,f889(a1,f888(a1,a1)),a1),f257(a1,a1)),f90(a1))),f2(a1))))),f341(f341(f9(a1,f889(a1,a1),f889(a1,f888(a1,a1))),f341(f341(f10(f889(a1,f888(a1,a1)),f889(f889(a1,a1),f889(a1,f888(a1,a1))),a1),f10(a1,f888(a1,a1),a1)),f341(f341(f10(a1,f889(a1,f888(a1,a1)),a1),f257(a1,a1)),f341(f341(f9(a1,a1,a1),f341(f341(f10(a1,f889(a1,a1),a1),f3(a1)),f90(a1))),f89(a1))))),f341(f3(a1),f341(f85(a1),x102432))))),f65(x102431,x102432)))),f58(x102431,x102432)) % 197.39/197.43 [10244]E(x102441,f2(a1))+E(x102442,f2(a1))+E(f341(f263(a1,a1,a1,a1,f34(a1),f341(f92(a1),f93(a1,x102442))),f341(f341(f341(f111(f888(a1,a1)),f341(f341(a340,f341(f341(a339,f341(f341(f242(a1),f2(a1)),x102442)),f341(f341(f241(a1),f2(a1)),x102441))),f341(f341(a339,f341(f341(f242(a1),x102442),f2(a1))),f341(f341(f242(a1),x102441),f2(a1))))),f65(x102441,x102442)),f341(f341(f262(a1,a1,f888(a1,a1)),f341(f341(f20(a1,f889(a1,f888(a1,a1)),f889(a1,f888(a1,a1))),f341(f341(f10(f889(a1,f889(f888(a1,a1),f888(a1,a1))),f889(f889(a1,f888(a1,a1)),f889(a1,f888(a1,a1))),a1),f20(a1,f888(a1,a1),f888(a1,a1))),f341(f341(f10(f888(a1,a1),f889(a1,f889(f888(a1,a1),f888(a1,a1))),a1),f341(f9(a1,f888(a1,a1),f889(f888(a1,a1),f888(a1,a1))),f341(f341(f10(a874,f889(f888(a1,a1),f889(f888(a1,a1),f888(a1,a1))),a1),f111(f888(a1,a1))),f341(f341(f9(a1,a1,a874),a338),f2(a1))))),f341(f341(f9(a1,a1,f888(a1,a1)),f341(f341(f10(a1,f889(a1,f888(a1,a1)),a1),f257(a1,a1)),f90(a1))),f2(a1))))),f341(f341(f9(a1,f889(a1,a1),f889(a1,f888(a1,a1))),f341(f341(f10(f889(a1,f888(a1,a1)),f889(f889(a1,a1),f889(a1,f888(a1,a1))),a1),f10(a1,f888(a1,a1),a1)),f341(f341(f10(a1,f889(a1,f888(a1,a1)),a1),f257(a1,a1)),f341(f341(f9(a1,a1,a1),f341(f341(f10(a1,f889(a1,a1),a1),f3(a1)),f90(a1))),f89(a1))))),f341(f3(a1),f341(f85(a1),x102442))))),f65(x102441,x102442)))),f58(x102441,x102442)) % 197.39/197.43 [5669]~P114(x56691)+~P89(x56691)+E(f341(f85(x56691),f341(f341(f251(x56691),f341(f118(x56691),a100)),x56692)),f89(x56691)) % 197.39/197.43 [6176]~P113(x61761)+~P1(f341(f341(f242(a1),x61762),f2(a1)))+E(f341(f90(x61761),f341(f116(x61761),f341(a119,f341(f90(a1),x61762)))),f341(f117(x61761),x61762)) % 197.39/197.43 [6394]P1(f341(f341(f241(a115),x63941),f89(a115)))+E(f341(f341(f91(a115),f89(a115)),f282(x63941,f341(f341(f38(a115),x63942),x63941))),f282(x63941,x63942))+P1(f341(f341(f242(a115),x63942),x63941)) % 197.39/197.43 [6466]E(x64661,f2(a1))+~E(f341(f85(a1),x64662),f89(a1))+P1(f341(f341(f294(a1),f341(f341(f92(a1),x64661),x64662)),x64661)) % 197.39/197.43 [6880]~E(x68802,f89(a881))+~P1(f341(f341(f242(a881),f2(a881)),x68801))+P1(f341(f341(f294(a881),f341(f341(f92(a881),x68801),x68802)),x68801)) % 197.39/197.43 [6881]~E(x68811,f89(a881))+~P1(f341(f341(f242(a881),f2(a881)),x68812))+P1(f341(f341(f294(a881),f341(f341(f92(a881),x68811),x68812)),x68812)) % 197.39/197.43 [7018]~P88(x70181)+~P1(f341(f341(f344(x70181),x70182),f124(x70181)))+~E(f341(f341(f91(x70181),f341(f341(f91(x70181),f89(x70181)),x70182)),x70182),f2(x70181)) % 197.39/197.43 [7135]~P1(f341(f341(f242(a1),x71351),f2(a1)))+~P1(f341(f341(f241(a1),x71352),f2(a1)))+E(f341(f256(a1,a1),f341(a63,f59(f341(f90(a1),x71351),f341(f90(a1),x71352)))),f341(f341(f38(a1),x71351),x71352)) % 197.39/197.43 [7151]~P1(f341(f341(f242(a1),x71511),f2(a1)))+~P1(f341(f341(f241(a1),x71512),f2(a1)))+E(f341(f261(a1,a1),f341(a63,f59(f341(f90(a1),x71511),f341(f90(a1),x71512)))),f57(a1,x71511,x71512)) % 197.39/197.43 [7159]~P1(f341(f341(f242(a1),x71592),f2(a1)))+E(f341(f256(a1,a1),f341(a63,f62(f341(f90(a1),x71591),f341(f90(a1),x71592)))),f341(f341(f38(a1),x71591),x71592))+~P1(f341(f341(f242(a1),f2(a1)),x71591)) % 197.39/197.43 [7163]E(x71631,f2(a1))+E(f341(f85(a1),x71632),f89(a1))+~P1(f341(f341(f294(a1),f341(f341(f92(a1),x71631),x71632)),x71631)) % 197.39/197.43 [7178]~P1(f341(f341(f242(a1),x71782),f2(a1)))+E(f341(f261(a1,a1),f341(a63,f62(f341(f90(a1),x71781),f341(f90(a1),x71782)))),f57(a1,x71781,x71782))+~P1(f341(f341(f242(a1),f2(a1)),x71781)) % 197.39/197.43 [7224]E(f341(f341(f38(a1),f341(f341(f251(a1),x72241),x72242)),x72241),f341(f341(f251(a1),x72241),f341(f341(f3(a881),x72242),f341(a128,f2(a881)))))+~P1(f341(f341(f242(a881),f2(a881)),x72242))+~P1(f341(f341(f242(a1),f2(a1)),x72241)) % 197.39/197.43 [7322]~P1(f341(f341(f242(a881),f2(a881)),x73221))+~P1(f341(f341(f242(a881),f89(a881)),x73222))+P1(f341(f341(f242(a881),f341(f341(f38(a881),x73221),x73222)),x73221)) % 197.39/197.43 [7323]~P1(f341(f341(f242(a881),f2(a881)),x73231))+~P1(f341(f341(f242(a881),f2(a881)),x73232))+P1(f341(f341(f242(a881),f341(f341(f3(a881),x73231),x73232)),x73231)) % 197.39/197.43 [7324]~P1(f341(f341(f242(a1),f2(a1)),x73241))+~P1(f341(f341(f242(a1),f89(a1)),x73242))+P1(f341(f341(f242(a1),f341(f341(f38(a1),x73241),x73242)),x73241)) % 197.39/197.43 [7457]E(x74571,f2(a881))+~E(x74572,f2(a1))+~P1(f341(f341(f242(a1),f2(a1)),f341(f341(f251(a1),f341(f85(a1),x74572)),x74571))) % 197.39/197.43 [7501]E(x75011,f89(a881))+~P1(f341(f341(f242(a881),f2(a881)),x75012))+~P1(f341(f341(f294(a881),f341(f341(f92(a881),x75012),x75011)),x75012)) % 197.39/197.43 [7502]E(x75021,f89(a881))+~P1(f341(f341(f242(a881),f2(a881)),x75022))+~P1(f341(f341(f294(a881),f341(f341(f92(a881),x75021),x75022)),x75022)) % 197.39/197.43 [7837]~P1(f341(x78371,x78372))+P1(f341(x78371,f2(a881)))+E(f341(a128,f341(f243(a881),f341(f341(f10(a881,a874,a881),x78371),a128))),f341(f243(a881),x78371)) % 197.39/197.43 [7874]~E(x78742,f129(f883(x78741)))+E(f341(f194(f883(f883(x78741))),f182(x78741,x78742)),f2(a881))+~P16(a881,f341(f173(a881),f341(f341(f159(f883(x78741),a881),f194(f883(x78741))),x78742))) % 197.39/197.43 [8149]E(x81491,f129(f883(x81492)))+E(f341(f194(f883(x81492)),f341(f341(f169(f883(x81492)),x81491),f2(a881))),f341(f194(f883(f883(x81492))),f182(x81492,x81491)))+~P16(a881,f341(f173(a881),f341(f341(f159(f883(x81492),a881),f194(f883(x81492))),x81491))) % 197.39/197.43 [8261]~P36(x82612)+~P36(x82611)+E(f341(f341(f317(a881,a1),f116(a1)),f341(f341(f125(f889(a881,a874)),f341(f341(f317(a1,a881),a119),x82611)),f341(f341(f317(a1,a881),a119),x82612))),f341(f341(f125(f889(a1,a874)),x82611),x82612)) % 197.39/197.43 [8262]~P36(x82622)+~P36(x82621)+E(f341(f341(f317(a881,a1),f116(a1)),f341(f341(f126(f889(a881,a874)),f341(f341(f317(a1,a881),a119),x82621)),f341(f341(f317(a1,a881),a119),x82622))),f341(f341(f126(f889(a1,a874)),x82621),x82622)) % 197.39/197.43 [8870]~P1(f341(f72(x88701),f341(f267(x88701),x88702)))+~P1(f341(f72(x88701),f249(f889(x88701,a874))))+P1(f341(f72(x88701),f341(f267(x88701),f341(f341(f10(a874,a874,x88701),a336),x88702)))) % 197.39/197.43 [8930]E(f341(f341(f257(a881,a881),f341(a128,f341(f341(f38(a881),f341(f341(f3(a881),x89301),x89302)),x89302))),f57(a881,f341(f341(f3(a881),x89301),x89302),x89302)),f96(f888(a881,a881),f60(x89301,x89302)))+~P1(f341(f341(f242(a881),f2(a881)),x89302))+~P1(f341(f341(f241(a881),x89302),x89301)) % 197.39/197.43 [9205]~P1(f341(f72(x92051),f341(f267(x92051),x92052)))+P1(f341(f72(x92051),f249(f889(x92051,a874))))+~P1(f341(f72(x92051),f341(f267(x92051),f341(f341(f10(a874,a874,x92051),a336),x92052)))) % 197.39/197.43 [9893]P20(x98931,x98932)+~P34(x98931,f341(f256(f889(f888(x98931,x98931),a874),f889(f888(x98931,x98931),a874)),x98932))+~P1(f341(f341(f241(f889(f888(x98931,x98931),a874)),f341(f341(f296(x98931,x98931,x98931),f341(f256(f889(f888(x98931,x98931),a874),f889(f888(x98931,x98931),a874)),x98932)),f341(f261(f889(f888(x98931,x98931),a874),f889(f888(x98931,x98931),a874)),x98932))),f341(f256(f889(f888(x98931,x98931),a874),f889(f888(x98931,x98931),a874)),x98932))) % 197.39/197.43 [9991]~E(f307(a881,f294(a881),f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x99912,x99911),f193(f889(a881,a874)))+~P1(f341(f341(f294(a881),x99912),x99911))+P1(f341(f341(f294(a881),x99911),x99912)) % 197.39/197.43 [9992]~E(f304(a881,f294(a881),f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x99922,x99921),f193(f889(a881,a874)))+~P1(f341(f341(f294(a881),x99922),x99921))+P1(f341(f341(f294(a881),x99921),x99922)) % 197.39/197.43 [7249]~P1(f341(f341(f242(a881),f2(a881)),x72492))+P1(f341(f341(f242(a881),x72491),x72492))+E(f341(a128,f341(f341(f38(a881),f341(f341(f3(a881),x72491),x72492)),x72492)),f341(f341(f38(a881),x72491),x72492)) % 197.39/197.43 [7391]~P1(f341(f341(f242(a881),f2(a881)),x73912))+~P1(f341(f341(f241(a881),x73912),x73911))+E(f341(a128,f341(f341(f38(a881),f341(f341(f3(a881),x73911),x73912)),x73912)),f341(f341(f38(a881),x73911),x73912)) % 197.39/197.43 [8349]~P89(x83491)+~P88(x83491)+~P29(x83491,f341(f118(x83491),f341(f341(f3(a1),f341(f341(f91(a1),x83492),x83492)),a100))) % 197.39/197.43 [9112]E(x91121,f2(a881))+E(f341(f341(f262(a881,a881,f888(a881,a881)),f341(f341(f10(a881,f889(a881,f888(a881,a881)),a881),f257(a881,a881)),a128)),f96(f888(a881,a881),f60(f341(f341(f3(a881),x91122),x91121),x91121))),f96(f888(a881,a881),f60(x91122,x91121)))+P1(f341(f341(f242(a881),x91122),x91121)) % 197.39/197.43 [9540]P1(f341(x95402,f447(x95402,x95401)))+P1(f341(x95401,f447(x95402,x95401)))+E(f341(f267(a1),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f241(a1),f2(a1)))),x95401)),f341(f267(a1),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f241(a1),f2(a1)))),x95402))) % 197.39/197.43 [9544]~P1(f341(x95442,f447(x95442,x95441)))+~P1(f341(x95441,f447(x95442,x95441)))+E(f341(f267(a1),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f241(a1),f2(a1)))),x95441)),f341(f267(a1),f341(f341(f20(a1,a874,a874),f341(f341(f10(a874,f889(a874,a874),a1),a339),f341(f241(a1),f2(a1)))),x95442))) % 197.39/197.43 [10115]~P1(f341(f341(f294(a881),x101152),x101151))+P1(f341(f341(f294(a881),x101151),x101152))+P1(f341(f341(f344(a881),x101151),f302(a881,f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x101152))) % 197.39/197.43 [10116]~P1(f341(f341(f294(a881),x101162),x101161))+P1(f341(f341(f294(a881),x101161),x101162))+P1(f341(f341(f344(a881),x101162),f305(a881,f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x101161))) % 197.39/197.43 [7596]~P89(x75961)+~P64(x75961)+E(f341(f341(f298(x75961),x75962),f341(f118(x75961),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))),x75962) % 197.39/197.43 [9246]~P89(x92461)+~E(f341(f118(x92461),x92462),f89(x92461))+P29(x92461,f341(f118(x92461),f341(f341(f91(a1),x92462),f341(f90(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))) % 197.39/197.43 [9417]~P136(x94171)+~E(x94172,f2(x94171))+E(f341(f341(f251(x94171),x94172),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f2(x94171)) % 197.39/197.43 [9418]~P136(x94181)+~E(x94182,f89(x94181))+E(f341(f341(f251(x94181),x94182),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f89(x94181)) % 197.39/197.43 [9428]~P136(x94281)+~E(x94282,f341(f90(x94281),f89(x94281)))+E(f341(f341(f251(x94281),x94282),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f89(x94281)) % 197.39/197.43 [9481]~P89(x94811)+E(f341(f118(x94811),x94812),f89(x94811))+~P29(x94811,f341(f118(x94811),f341(f341(f91(a1),x94812),f341(f90(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))) % 197.39/197.43 [9838]~P114(x98382)+E(x98381,f2(x98382))+P1(f341(f341(f242(x98382),f2(x98382)),f341(f341(f251(x98382),x98381),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))) % 197.39/197.43 [9892]~P114(x98922)+~E(x98921,f2(x98922))+~P1(f341(f341(f242(x98922),f2(x98922)),f341(f341(f251(x98922),x98921),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))) % 197.39/197.43 [9930]P1(f341(f341(f241(a1),x99301),f2(a1)))+P1(f341(f341(f242(a1),x99302),x99301))+E(f341(f56(x99301),f59(x99302,f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x99301))),f59(x99302,x99301)) % 197.39/197.43 [9931]~P1(f341(f341(f242(a1),f2(a1)),x99311))+P1(f341(f341(f242(a1),x99312),x99311))+E(f341(f56(x99311),f59(x99312,f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x99311))),f59(x99312,x99311)) % 197.39/197.43 [9932]P1(f341(f341(f241(a1),x99321),f2(a1)))+P1(f341(f341(f241(a1),f2(a1)),f341(f341(f91(a1),x99322),x99321)))+E(f341(f56(x99321),f62(x99322,f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x99321))),f62(x99322,x99321)) % 197.39/197.43 [9933]~P1(f341(f341(f242(a1),f2(a1)),x99331))+P1(f341(f341(f241(a1),f2(a1)),f341(f341(f91(a1),x99332),x99331)))+E(f341(f56(x99331),f62(x99332,f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x99331))),f62(x99332,x99331)) % 197.39/197.43 [9934]~P2(x99341)+~P1(f341(f341(f241(a1),f2(a1)),x99342))+E(f341(f116(x99341),f341(a119,f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x99342))),f341(f341(f91(x99341),f341(f116(x99341),f341(a119,x99342))),f341(f116(x99341),f341(a119,x99342)))) % 197.39/197.43 [5023]~P142(x50231,x50233,x50232)+~E(x50233,f2(a1))+P1(f341(x50231,x50232)) % 197.39/197.43 [5156]~P101(x51561)+~P16(x51561,x51563)+P16(x51561,f174(x51561,x51562,x51563)) % 197.39/197.43 [5157]~P101(x51571)+~P16(x51571,x51573)+P16(x51571,f180(x51571,x51572,x51573)) % 197.39/197.43 [4742]~P73(x47422)+~E(x47423,f341(f90(x47422),x47421))+E(x47421,f341(f90(x47422),x47423)) % 197.39/197.43 [4744]~P73(x47441)+~E(f341(f90(x47441),x47443),x47442)+E(f341(f90(x47441),x47442),x47443) % 197.39/197.43 [4810]~P91(x48103)+E(x48101,x48102)+~E(f341(f116(x48103),x48101),f341(f116(x48103),x48102)) % 197.39/197.43 [4811]~P88(x48113)+E(x48111,x48112)+~E(f341(f117(x48113),x48111),f341(f117(x48113),x48112)) % 197.39/197.43 [4812]~P73(x48123)+E(x48121,x48122)+~E(f341(f90(x48123),x48121),f341(f90(x48123),x48122)) % 197.39/197.43 [4813]~P92(x48133)+E(x48131,x48132)+~E(f341(f90(x48133),x48131),f341(f90(x48133),x48132)) % 197.39/197.43 [4814]~P101(x48143)+E(x48141,x48142)+~E(f341(f308(x48143),x48141),f341(f308(x48143),x48142)) % 197.39/197.43 [4815]~P101(x48153)+E(x48151,x48152)+~E(f341(f311(x48153),x48151),f341(f311(x48153),x48152)) % 197.39/197.43 [4816]~P101(x48163)+E(x48161,x48162)+~E(f341(f268(x48163),x48161),f341(f268(x48163),x48162)) % 197.39/197.43 [4817]~P101(x48173)+E(x48171,x48172)+~E(f341(f269(x48173),x48171),f341(f269(x48173),x48172)) % 197.39/197.43 [4913]~P61(x49131)+~P1(f341(x49132,x49133))+P1(f341(f68(x49131),x49132)) % 197.39/197.43 [5050]~P143(x50501,x50502,x50503)+~E(x50502,f2(a1))+P1(f341(x50501,f2(a1))) % 197.39/197.43 [5092]~E(x50921,f2(a881))+E(f646(x50921,x50922,x50923),f193(f889(x50923,a874)))+~E(f341(f37(x50923),x50922),f341(a128,x50921)) % 197.39/197.43 [5238]~E(x52382,f2(a881))+E(f341(f256(a881,a881),x52381),f2(a881))+~P1(f341(f60(x52383,x52382),x52381)) % 197.39/197.43 [5282]P1(f341(x52821,x52822))+~E(x52823,f341(f116(a1),x52822))+~P1(f341(x52821,f341(a119,x52823))) % 197.39/197.43 [5740]~E(x57403,f2(a881))+~P1(f341(x57401,x57402))+P1(f341(x57401,f57(a881,x57402,x57403))) % 197.39/197.43 [6157]~E(x61573,f2(a881))+P1(f341(x61571,x61572))+~P1(f341(x61571,f57(a881,x61572,x61573))) % 197.39/197.43 [6170]~P8(x61701)+~P1(f341(f341(f241(x61701),x61702),f341(x61703,x61702)))+P1(f341(f341(f241(x61701),x61702),f113(x61701,x61703))) % 197.39/197.43 [6863]E(x68631,f2(a881))+~P1(f341(x68632,f857(x68631,x68633,x68632)))+P1(f341(x68632,f57(a881,x68633,x68631))) % 197.39/197.43 [6984]~P8(x69841)+~P1(f341(f341(f241(x69841),x69842),f729(x69843,x69842,x69841)))+P1(f341(f341(f241(x69841),x69842),f40(x69841,x69843))) % 197.39/197.43 [6985]~P1(f341(x69851,x69852))+~P1(f341(x69851,f857(x69853,x69852,x69851)))+P1(f341(x69851,f57(a881,x69852,x69853))) % 197.39/197.43 [7088]E(x70881,f129(x70882))+E(f341(f341(f156(x70882),f525(x70883,x70881,x70882)),f529(x70883,x70881,x70882)),x70881)+~P1(f341(f341(f344(f883(x70882)),x70881),f166(x70882,x70883))) % 197.39/197.43 [7121]~P113(x71211)+~P1(f341(f341(f344(x71211),x71212),f124(x71211)))+P1(f341(f341(f344(x71211),f341(f341(f251(x71211),x71212),x71213)),f124(x71211))) % 197.39/197.43 [7433]P34(x74331,x74332)+~P1(f341(f341(f344(x74331),x74333),f467(x74332,x74331)))+P1(f341(f341(f344(x74331),f474(x74332,x74331,x74333)),f467(x74332,x74331))) % 197.39/197.43 [7702]E(x77021,f129(x77022))+~P1(f341(f341(f344(f883(x77022)),x77021),f166(x77022,x77023)))+P1(f341(f341(f344(f883(x77022)),f529(x77023,x77021,x77022)),f166(x77022,x77023))) % 197.39/197.43 [7751]E(x77511,f2(a881))+E(f341(f341(f91(a881),f341(f341(f92(a881),x77511),f858(x77511,x77512,x77513))),f857(x77511,x77512,x77513)),x77512)+P1(f341(x77513,f57(a881,x77512,x77511))) % 197.39/197.43 [7793]~P1(f341(x77933,x77932))+E(f341(f341(f91(a881),f341(f341(f92(a881),x77931),f858(x77931,x77932,x77933))),f857(x77931,x77932,x77933)),x77932)+P1(f341(x77933,f57(a881,x77932,x77931))) % 197.39/197.43 [7927]P1(f341(f341(f242(a1),x79271),f850(x79272,x79273,x79271)))+P1(f341(f341(x79273,f341(f341(f38(a1),x79272),x79271)),f57(a1,x79272,x79271)))+~P1(f341(f341(f242(a1),x79271),f2(a1))) % 197.39/197.43 [8209]P1(f341(f341(x82092,f341(f341(f38(a1),x82091),x82093)),f57(a1,x82091,x82093)))+~P1(f341(f341(f242(a1),x82093),f2(a1)))+P1(f341(f341(f241(a1),f850(x82091,x82092,x82093)),f2(a1))) % 197.39/197.43 [8382]E(f341(f341(f91(a1),f341(f341(f92(a1),x83821),f854(x83822,x83823,x83821))),f850(x83822,x83823,x83821)),x83822)+P1(f341(f341(x83823,f341(f341(f38(a1),x83822),x83821)),f57(a1,x83822,x83821)))+~P1(f341(f341(f242(a1),x83821),f2(a1))) % 197.39/197.43 [8636]~P1(f341(f341(x86361,f854(x86362,x86361,x86363)),f850(x86362,x86361,x86363)))+P1(f341(f341(x86361,f341(f341(f38(a1),x86362),x86363)),f57(a1,x86362,x86363)))+~P1(f341(f341(f242(a1),x86363),f2(a1))) % 197.39/197.43 [8885]~P101(x88851)+~P16(x88851,x88853)+P16(x88851,f155(x88851,x88851,f7(x88851),x88852,x88853)) % 197.39/197.43 [9360]~P122(x93602)+E(x93601,f2(x93602))+~P1(f341(f341(f241(x93602),f341(f341(f91(x93602),f341(f341(f92(x93602),x93603),x93603)),f341(f341(f92(x93602),x93601),x93601))),f2(x93602))) % 197.39/197.43 [9361]~P122(x93612)+E(x93611,f2(x93612))+~P1(f341(f341(f241(x93612),f341(f341(f91(x93612),f341(f341(f92(x93612),x93611),x93611)),f341(f341(f92(x93612),x93613),x93613))),f2(x93612))) % 197.39/197.43 [10188]~P114(x101881)+~P1(f341(f341(f242(x101881),x101882),f2(x101881)))+P1(f341(f341(f242(x101881),f341(f341(f251(x101881),x101882),f341(a128,f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x101883)))),f2(x101881))) % 197.39/197.43 [10196]~P114(x101962)+E(x101961,f2(x101962))+~P1(f341(f341(f241(x101962),f341(f341(f91(x101962),f341(f341(f251(x101962),x101963),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x101962),x101961),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))),f2(x101962))) % 197.39/197.43 [10197]~P114(x101972)+E(x101971,f2(x101972))+~P1(f341(f341(f241(x101972),f341(f341(f91(x101972),f341(f341(f251(x101972),x101971),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x101972),x101973),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))),f2(x101972))) % 197.39/197.43 [4773]~E(x47732,x47733)+~P73(x47731)+E(f341(f341(f3(x47731),x47732),x47733),f2(x47731)) % 197.39/197.43 [4774]~E(x47742,x47743)+~P60(x47741)+E(f341(f341(f3(x47741),x47742),x47743),f2(x47741)) % 197.39/197.43 [4781]~P140(x47811)+~E(x47813,f2(x47811))+E(f341(f341(f91(x47811),x47812),x47813),x47812) % 197.39/197.43 [4797]~P137(x47971)+~E(x47973,f2(x47971))+E(f341(f341(f92(x47971),x47972),x47973),f2(x47971)) % 197.39/197.43 [4798]~P137(x47981)+~E(x47982,f2(x47981))+E(f341(f341(f92(x47981),x47982),x47983),f2(x47981)) % 197.39/197.43 [4819]~E(x48193,f129(x48191))+~E(x48192,f129(x48191))+E(f341(f341(f137(x48191),x48192),x48193),f129(x48191)) % 197.39/197.43 [4903]~P140(x49032)+E(x49031,f2(x49032))+~E(f341(f341(f91(x49032),x49033),x49031),x49033) % 197.39/197.43 [4904]~P73(x49041)+~E(x49042,f341(f90(x49041),x49043))+E(f341(f341(f91(x49041),x49042),x49043),f2(x49041)) % 197.39/197.43 [4911]E(x49111,f129(x49112))+E(x49113,f2(a881))+~E(f341(f341(f177(x49112),x49113),x49111),f129(x49112)) % 197.39/197.43 [4921]~P73(x49213)+E(x49211,x49212)+~E(f341(f341(f3(x49213),x49211),x49212),f2(x49213)) % 197.39/197.43 [4922]~P60(x49223)+E(x49221,x49222)+~E(f341(f341(f3(x49223),x49221),x49222),f2(x49223)) % 197.39/197.43 [4931]~P136(x49312)+E(x49311,f2(x49312))+~E(f341(f341(f251(x49312),x49311),x49313),f2(x49312)) % 197.39/197.43 [4932]~P96(x49322)+E(x49321,f249(x49322))+~E(f341(f341(f126(x49322),x49323),x49321),f249(x49322)) % 197.39/197.43 [4933]~P96(x49332)+E(x49331,f249(x49332))+~E(f341(f341(f126(x49332),x49331),x49333),f249(x49332)) % 197.39/197.43 [4934]~P97(x49342)+E(x49341,f193(x49342))+~E(f341(f341(f125(x49342),x49343),x49341),f193(x49342)) % 197.39/197.43 [4935]~P97(x49352)+E(x49351,f193(x49352))+~E(f341(f341(f125(x49352),x49351),x49353),f193(x49352)) % 197.39/197.43 [4999]~P73(x49992)+E(x49991,f341(f90(x49992),x49993))+~E(f341(f341(f91(x49992),x49991),x49993),f2(x49992)) % 197.39/197.43 [5000]~P73(x50001)+E(f341(f90(x50001),x50002),x50003)+~E(f341(f341(f91(x50001),x50002),x50003),f2(x50001)) % 197.39/197.43 [5002]~E(x50022,x50023)+~P104(x50021)+P1(f341(f341(f241(x50021),x50022),x50023)) % 197.39/197.43 [5004]~E(x50042,x50043)+~P105(x50041)+P1(f341(f341(f241(x50041),x50042),x50043)) % 197.39/197.43 [5106]~P116(x51061)+~E(x51062,f341(f90(x51061),x51063))+E(f341(f341(f92(x51061),x51062),x51062),f341(f341(f92(x51061),x51063),x51063)) % 197.39/197.43 [5114]~P101(x51141)+~P16(x51141,x51143)+P16(x51141,f341(f341(f177(x51141),x51142),x51143)) % 197.39/197.43 [5115]~P101(x51151)+~P16(x51151,x51153)+P16(x51151,f341(f341(f143(x51151),x51152),x51153)) % 197.39/197.43 [5154]E(x51541,x51542)+E(x51543,f2(a881))+~E(f341(f341(f92(a881),x51543),x51541),f341(f341(f92(a881),x51543),x51542)) % 197.39/197.43 [5155]E(x51551,x51552)+E(x51553,f2(a881))+~E(f341(f341(f92(a881),x51551),x51553),f341(f341(f92(a881),x51552),x51553)) % 197.39/197.43 [5200]~P87(x52002)+~P1(f341(x52001,x52003))+P1(f341(x52001,f341(f243(x52002),x52001))) % 197.39/197.43 [5231]~E(x52312,x52313)+~P105(x52311)+E(f310(x52311,x52312,x52313),f341(f341(f318(x52311),x52312),f193(f889(x52311,a874)))) % 197.39/197.43 [5270]~P114(x52701)+~E(f341(f85(x52701),x52702),f341(f85(x52701),x52703))+P1(f341(f341(f294(x52701),x52702),x52703)) % 197.39/197.43 [5279]~E(x52791,x52792)+~P101(x52793)+~P1(f341(f341(f242(x52793),x52791),x52792)) % 197.39/197.43 [5280]~E(x52801,x52802)+~P105(x52803)+~P1(f341(f341(f242(x52803),x52801),x52802)) % 197.39/197.43 [5287]~P105(x52871)+E(f341(f309(x52871,x52872),x52873),f193(f889(x52871,a874)))+P1(f341(f341(f242(x52871),x52872),x52873)) % 197.39/197.43 [5328]~P105(x53281)+E(f312(x53281,x53282,x53283),f193(f889(x53281,a874)))+P1(f341(f341(f242(x53281),x53282),x53283)) % 197.39/197.43 [5329]~P105(x53291)+E(f310(x53291,x53292,x53293),f193(f889(x53291,a874)))+P1(f341(f341(f241(x53291),x53292),x53293)) % 197.39/197.43 [5330]~P105(x53301)+E(f193(f889(x53301,a874)),f312(x53301,x53302,x53303))+P1(f341(f341(f242(x53301),x53302),x53303)) % 197.39/197.43 [5331]~P105(x53311)+E(f193(f889(x53311,a874)),f310(x53311,x53312,x53313))+P1(f341(f341(f241(x53311),x53312),x53313)) % 197.39/197.43 [5339]~P101(x53391)+~E(f341(f341(f246(x53391),x53392),x53393),x53392)+P1(f341(f341(f241(x53391),x53392),x53393)) % 197.39/197.43 [5340]~P101(x53401)+~E(f341(f341(f192(x53401),x53402),x53403),x53403)+P1(f341(f341(f241(x53401),x53402),x53403)) % 197.39/197.43 [5341]~P94(x53411)+~E(f341(f341(f125(x53411),x53412),x53413),x53413)+P1(f341(f341(f241(x53411),x53412),x53413)) % 197.39/197.43 [5342]~P100(x53421)+~E(f341(f341(f126(x53421),x53422),x53423),x53422)+P1(f341(f341(f241(x53421),x53422),x53423)) % 197.39/197.43 [5357]~P101(x53571)+P16(x53571,x53572)+~P16(x53571,f341(f341(f137(x53571),x53573),x53572)) % 197.39/197.43 [5358]~P101(x53581)+P16(x53581,x53582)+~P16(x53581,f341(f341(f137(x53581),x53582),x53583)) % 197.39/197.43 [5360]~P101(x53601)+P16(x53601,x53602)+~P16(x53601,f341(f341(f156(x53601),x53603),x53602)) % 197.39/197.43 [5365]~P59(x53651)+~E(f57(x53651,x53653,x53652),f2(x53651))+P1(f341(f341(f294(x53651),x53652),x53653)) % 197.39/197.43 [5433]~P101(x54331)+P1(f341(f341(f241(x54331),x54333),x54332))+P1(f341(f341(f242(x54331),x54332),x54333)) % 197.39/197.43 [5435]~P101(x54351)+P1(f341(f341(f241(x54351),x54353),x54352))+P1(f341(f341(f241(x54351),x54352),x54353)) % 197.39/197.43 [5473]~P101(x54731)+E(f341(f341(f246(x54731),x54732),x54733),x54733)+~P1(f341(f341(f241(x54731),x54733),x54732)) % 197.39/197.43 [5475]~P101(x54751)+E(f341(f341(f246(x54751),x54752),x54753),x54752)+~P1(f341(f341(f241(x54751),x54752),x54753)) % 197.39/197.43 [5476]~P101(x54761)+E(f341(f341(f192(x54761),x54762),x54763),x54762)+~P1(f341(f341(f241(x54761),x54763),x54762)) % 197.39/197.43 [5478]~P101(x54781)+E(f341(f341(f192(x54781),x54782),x54783),x54783)+~P1(f341(f341(f241(x54781),x54782),x54783)) % 197.39/197.43 [5479]~P94(x54791)+E(f341(f341(f125(x54791),x54792),x54793),x54792)+~P1(f341(f341(f241(x54791),x54793),x54792)) % 197.39/197.43 [5481]~P94(x54811)+E(f341(f341(f125(x54811),x54812),x54813),x54813)+~P1(f341(f341(f241(x54811),x54812),x54813)) % 197.39/197.43 [5482]~P100(x54821)+E(f341(f341(f126(x54821),x54822),x54823),x54823)+~P1(f341(f341(f241(x54821),x54823),x54822)) % 197.39/197.43 [5484]~P100(x54841)+E(f341(f341(f126(x54841),x54842),x54843),x54842)+~P1(f341(f341(f241(x54841),x54842),x54843)) % 197.39/197.43 [5491]~P118(x54912)+E(x54911,f2(x54912))+E(f341(f341(f298(x54912),f341(f90(x54912),x54913)),f341(f90(x54912),x54911)),f341(f341(f298(x54912),x54913),x54911)) % 197.39/197.43 [5498]~P59(x54981)+E(f57(x54981,x54982,x54983),f2(x54981))+~P1(f341(f341(f294(x54981),x54983),x54982)) % 197.39/197.43 [5534]~P105(x55341)+E(f341(f309(x55341,x55342),x55343),f193(f889(x55341,a874)))+~P1(f341(f341(f241(x55341),x55343),x55342)) % 197.39/197.43 [5563]~P105(x55631)+E(f313(x55631,x55632,x55633),f193(f889(x55631,a874)))+~P1(f341(f341(f241(x55631),x55633),x55632)) % 197.39/197.43 [5564]~P105(x55641)+E(f312(x55641,x55642,x55643),f193(f889(x55641,a874)))+~P1(f341(f341(f241(x55641),x55643),x55642)) % 197.39/197.43 [5565]~P105(x55651)+E(f310(x55651,x55652,x55653),f193(f889(x55651,a874)))+~P1(f341(f341(f242(x55651),x55653),x55652)) % 197.39/197.43 [5613]~E(f341(f341(f3(a881),x56131),x56133),x56132)+E(x56131,f341(f341(f91(a881),x56132),x56133))+~P1(f341(f341(f241(a881),x56133),x56131)) % 197.39/197.43 [5614]~E(x56141,f341(f341(f91(a881),x56143),x56142))+E(f341(f341(f3(a881),x56141),x56142),x56143)+~P1(f341(f341(f241(a881),x56142),x56141)) % 197.39/197.43 [5658]~P1(f341(x56581,x56583))+P1(f341(x56581,f512(x56581,x56582)))+~P1(f341(f341(f241(a881),x56583),x56582)) % 197.39/197.43 [5659]~P1(f341(x56591,x56593))+P1(f341(x56591,f550(x56591,x56592)))+~P1(f341(f341(f242(a881),x56593),x56592)) % 197.39/197.43 [5667]~P105(x56671)+~E(f341(f309(x56671,x56672),x56673),f193(f889(x56671,a874)))+~P1(f341(f341(f242(x56671),x56672),x56673)) % 197.39/197.43 [5671]~P104(x56711)+~P1(f341(f341(f242(x56711),x56712),x56713))+P1(f341(f341(f241(x56711),x56712),x56713)) % 197.39/197.43 [5673]~P105(x56731)+~P1(f341(f341(f242(x56731),x56732),x56733))+P1(f341(f341(f241(x56731),x56732),x56733)) % 197.39/197.43 [5796]~P105(x57961)+~E(f312(x57961,x57962,x57963),f193(f889(x57961,a874)))+~P1(f341(f341(f242(x57961),x57962),x57963)) % 197.39/197.43 [5797]~P105(x57971)+~E(f310(x57971,x57972,x57973),f193(f889(x57971,a874)))+~P1(f341(f341(f241(x57971),x57972),x57973)) % 197.39/197.43 [5798]~P105(x57981)+~E(f193(f889(x57981,a874)),f312(x57981,x57982,x57983))+~P1(f341(f341(f242(x57981),x57982),x57983)) % 197.39/197.43 [5799]~P105(x57991)+~E(f193(f889(x57991,a874)),f310(x57991,x57992,x57993))+~P1(f341(f341(f241(x57991),x57992),x57993)) % 197.39/197.43 [5807]P1(f341(x58071,x58072))+~P1(f341(x58071,f513(x58071,x58073)))+~P1(f341(f341(f241(a881),x58072),x58073)) % 197.39/197.43 [5808]P1(f341(x58081,x58082))+~P1(f341(x58081,f551(x58081,x58083)))+~P1(f341(f341(f242(a881),x58082),x58083)) % 197.39/197.43 [5816]~E(x58161,f341(a128,x58163))+P1(f341(f341(f242(a881),x58161),f341(a128,x58162)))+~P1(f341(f341(f242(a881),x58163),x58162)) % 197.39/197.43 [5835]E(x58351,x58352)+~E(f341(f341(f92(a881),x58353),x58351),f341(f341(f92(a881),x58353),x58352))+~P1(f341(f341(f242(a881),f2(a881)),x58353)) % 197.39/197.43 [5896]E(f341(x58961,f605(x58961,x58962,x58963)),f89(a881))+~E(f341(f341(f8(x58963,a881),x58961),x58962),f89(a881))+~P1(f341(f72(x58963),x58962)) % 197.39/197.43 [5909]~P8(x59091)+P1(f341(f341(f241(x59091),x59092),f39(x59091,x59093)))+~P1(f341(f341(f344(x59091),x59092),x59093)) % 197.39/197.43 [5933]~P87(x59331)+~P1(f341(x59332,x59333))+~P1(f341(f341(f242(x59331),x59333),f341(f243(x59331),x59332))) % 197.39/197.43 [5934]~P101(x59341)+~P1(f341(f341(f242(x59341),x59343),x59342))+~P1(f341(f341(f242(x59341),x59342),x59343)) % 197.39/197.43 [5937]~P101(x59371)+~P1(f341(f341(f241(x59371),x59373),x59372))+~P1(f341(f341(f242(x59371),x59372),x59373)) % 197.39/197.43 [5941]~P104(x59411)+~P1(f341(f341(f242(x59411),x59413),x59412))+~P1(f341(f341(f242(x59411),x59412),x59413)) % 197.39/197.43 [5942]~P104(x59421)+~P1(f341(f341(f241(x59421),x59423),x59422))+~P1(f341(f341(f242(x59421),x59422),x59423)) % 197.39/197.43 [5943]~P105(x59431)+~P1(f341(f341(f242(x59431),x59433),x59432))+~P1(f341(f341(f242(x59431),x59432),x59433)) % 197.39/197.43 [5968]~E(x59682,x59683)+~E(x59681,x59682)+E(f297(a881,f294(a881),x59681,x59682),f341(f341(f318(a881),x59683),f193(f889(a881,a874)))) % 197.39/197.43 [5978]~E(f341(x59782,f606(x59782,x59783,x59781)),f2(a881))+E(f341(f341(f8(x59781,a881),x59782),x59783),f2(a881))+~P1(f341(f72(x59781),x59783)) % 197.39/197.43 [5979]~E(f341(x59792,f609(x59792,x59793,x59791)),f89(a881))+E(f341(f341(f11(x59791,a881),x59792),x59793),f89(a881))+~P1(f341(f72(x59791),x59793)) % 197.39/197.43 [5990]~P106(x59901)+~P1(f341(f341(f242(x59901),x59903),x59902))+P1(f341(f341(f344(x59901),x59902),f341(f311(x59901),x59903))) % 197.39/197.43 [5991]~P106(x59911)+~P1(f341(f341(f241(x59911),x59913),x59912))+P1(f341(f341(f344(x59911),x59912),f341(f269(x59911),x59913))) % 197.39/197.43 [5992]~P106(x59921)+~P1(f341(f341(f241(x59921),x59922),x59923))+P1(f341(f341(f344(x59921),x59922),f341(f308(x59921),x59923))) % 197.39/197.43 [5993]~P106(x59931)+~P1(f341(f341(f242(x59931),x59932),x59933))+P1(f341(f341(f344(x59931),x59932),f341(f268(x59931),x59933))) % 197.39/197.43 [5994]~P111(x59941)+~P1(f341(f341(f294(x59941),x59942),x59943))+P1(f341(f341(f294(x59941),x59942),f341(f90(x59941),x59943))) % 197.39/197.43 [5995]~P114(x59951)+~P1(f341(f341(f294(x59951),x59952),x59953))+P1(f341(f341(f294(x59951),x59952),f341(f85(x59951),x59953))) % 197.39/197.43 [6007]E(f341(x60071,f607(x60071,x60072,x60073)),f341(a128,f2(a881)))+~E(f341(f341(f8(x60073,a881),x60071),x60072),f341(a128,f2(a881)))+~P1(f341(f72(x60073),x60072)) % 197.39/197.43 [6089]~P8(x60891)+~P1(f341(f341(f344(x60891),x60893),x60892))+P1(f341(f341(f241(x60891),f40(x60891,x60892)),x60893)) % 197.39/197.43 [6106]~P1(f341(f341(f241(a881),x61061),x61063))+P1(f341(f341(f241(a881),x61061),x61062))+~P1(f341(f341(f241(a881),x61063),x61062)) % 197.39/197.43 [6107]~P1(f341(f341(f241(a1),x61071),x61073))+P1(f341(f341(f241(a1),x61071),x61072))+~P1(f341(f341(f241(a1),x61073),x61072)) % 197.39/197.43 [6108]~P1(f341(f341(f294(a881),x61081),x61083))+P1(f341(f341(f294(a881),x61081),x61082))+~P1(f341(f341(f294(a881),x61083),x61082)) % 197.39/197.43 [6125]~P106(x61251)+~P1(f341(f341(f344(x61251),x61253),f341(f311(x61251),x61252)))+P1(f341(f341(f242(x61251),x61252),x61253)) % 197.39/197.43 [6126]~P106(x61261)+~P1(f341(f341(f344(x61261),x61262),f341(f268(x61261),x61263)))+P1(f341(f341(f242(x61261),x61262),x61263)) % 197.39/197.43 [6127]~P106(x61271)+~P1(f341(f341(f344(x61271),x61273),f341(f269(x61271),x61272)))+P1(f341(f341(f241(x61271),x61272),x61273)) % 197.39/197.43 [6128]~P106(x61281)+~P1(f341(f341(f344(x61281),x61282),f341(f308(x61281),x61283)))+P1(f341(f341(f241(x61281),x61282),x61283)) % 197.39/197.43 [6129]~P114(x61291)+~P1(f341(f341(f294(x61291),x61292),f341(f85(x61291),x61293)))+P1(f341(f341(f294(x61291),x61292),x61293)) % 197.39/197.43 [6130]~P111(x61301)+~P1(f341(f341(f294(x61301),x61302),f341(f90(x61301),x61303)))+P1(f341(f341(f294(x61301),x61302),x61303)) % 197.39/197.43 [6201]~P1(f341(x62011,x62012))+P1(f341(x62011,f418(x62011)))+~P1(f341(f341(f344(x62013),x62012),f249(f889(x62013,a874)))) % 197.39/197.43 [6239]P1(f341(x62391,x62392))+~P1(f341(x62391,f395(x62391)))+~P1(f341(f341(f344(x62393),x62392),f249(f889(x62393,a874)))) % 197.39/197.43 [6312]~P105(x63121)+~P35(a881,x63121,x63122)+P1(f341(f341(f241(x63121),f341(x63122,x63123)),f341(x63122,f341(a128,x63123)))) % 197.39/197.43 [6352]~P65(x63521)+P1(f341(f341(f242(x63521),f2(x63521)),f350(x63523,x63522,x63521)))+P1(f341(f341(f241(x63521),x63522),x63523)) % 197.39/197.43 [6353]~P66(x63531)+P1(f341(f341(f242(x63531),f2(x63531)),f371(x63533,x63532,x63531)))+P1(f341(f341(f241(x63531),x63532),x63533)) % 197.39/197.43 [6426]~P80(x64261)+~P1(f341(f341(f242(x64261),x64263),f341(f90(x64261),x64262)))+P1(f341(f341(f242(x64261),x64262),f341(f90(x64261),x64263))) % 197.39/197.43 [6428]~P80(x64281)+~P1(f341(f341(f241(x64281),x64283),f341(f90(x64281),x64282)))+P1(f341(f341(f241(x64281),x64282),f341(f90(x64281),x64283))) % 197.39/197.43 [6440]~P1(f341(f341(f242(a881),x64401),x64403))+~P1(f341(f341(f242(a881),x64403),x64402))+P1(f341(f341(f242(a881),f341(a128,x64401)),x64402)) % 197.39/197.43 [6472]~P114(x64721)+P1(f341(f341(f242(x64721),f341(f117(x64721),x64722)),f341(f117(x64721),x64723)))+~P1(f341(f341(f242(a1),x64722),x64723)) % 197.39/197.43 [6473]~P121(x64731)+P1(f341(f341(f242(x64731),f341(f116(x64731),x64732)),f341(f116(x64731),x64733)))+~P1(f341(f341(f242(a881),x64732),x64733)) % 197.39/197.43 [6474]~P121(x64741)+P1(f341(f341(f241(x64741),f341(f116(x64741),x64742)),f341(f116(x64741),x64743)))+~P1(f341(f341(f241(a881),x64742),x64743)) % 197.39/197.43 [6475]~P114(x64751)+P1(f341(f341(f241(x64751),f341(f117(x64751),x64752)),f341(f117(x64751),x64753)))+~P1(f341(f341(f241(a1),x64752),x64753)) % 197.39/197.43 [6481]~P101(x64811)+E(f341(f341(f125(f889(x64811,a874)),f341(f268(x64811),x64812)),f341(f309(x64811,x64812),x64813)),f341(f268(x64811),x64813))+~P1(f341(f341(f241(x64811),x64812),x64813)) % 197.39/197.43 [6510]~P80(x65101)+~P1(f341(f341(f242(x65101),x65103),x65102))+P1(f341(f341(f242(x65101),f341(f90(x65101),x65102)),f341(f90(x65101),x65103))) % 197.39/197.43 [6512]~P80(x65121)+~P1(f341(f341(f241(x65121),x65123),x65122))+P1(f341(f341(f241(x65121),f341(f90(x65121),x65122)),f341(f90(x65121),x65123))) % 197.39/197.43 [6514]~P92(x65141)+~P1(f341(f341(f241(x65141),x65143),x65142))+P1(f341(f341(f241(x65141),f341(f90(x65141),x65142)),f341(f90(x65141),x65143))) % 197.39/197.43 [6547]~P101(x65471)+E(f341(f341(f125(f889(x65471,a874)),f341(f308(x65471),x65472)),f313(x65471,x65472,x65473)),f341(f268(x65471),x65473))+~P1(f341(f341(f242(x65471),x65472),x65473)) % 197.39/197.43 [6548]~P101(x65481)+E(f341(f341(f125(f889(x65481,a874)),f341(f308(x65481),x65482)),f312(x65481,x65482,x65483)),f341(f308(x65481),x65483))+~P1(f341(f341(f241(x65481),x65482),x65483)) % 197.39/197.43 [6549]~P101(x65491)+E(f341(f341(f125(f889(x65491,a874)),f341(f268(x65491),x65492)),f310(x65491,x65492,x65493)),f341(f308(x65491),x65493))+~P1(f341(f341(f241(x65491),x65492),x65493)) % 197.39/197.43 [6586]~P101(x65861)+E(f341(f341(f125(f889(x65861,a874)),f341(f309(x65861,x65862),x65863)),f341(f269(x65861),x65863)),f341(f269(x65861),x65862))+~P1(f341(f341(f241(x65861),x65862),x65863)) % 197.39/197.43 [6659]~P8(x66591)+~P1(f341(f341(f241(x66591),f341(x66592,x66593)),x66593))+P1(f341(f341(f241(x66591),f112(x66591,x66592)),x66593)) % 197.39/197.43 [6745]~P101(x67451)+E(f341(f341(f125(f889(x67451,a874)),f313(x67451,x67452,x67453)),f341(f269(x67451),x67453)),f341(f311(x67451),x67452))+~P1(f341(f341(f242(x67451),x67452),x67453)) % 197.39/197.43 [6746]~P101(x67461)+E(f341(f341(f125(f889(x67461,a874)),f312(x67461,x67462,x67463)),f341(f311(x67461),x67463)),f341(f311(x67461),x67462))+~P1(f341(f341(f241(x67461),x67462),x67463)) % 197.39/197.43 [6747]~P101(x67471)+E(f341(f341(f125(f889(x67471,a874)),f310(x67471,x67472,x67473)),f341(f311(x67471),x67473)),f341(f269(x67471),x67472))+~P1(f341(f341(f241(x67471),x67472),x67473)) % 197.39/197.43 [6764]P1(f341(x67641,x67642))+~P1(f341(f341(f241(a881),x67642),x67643))+P1(f341(f341(f344(a881),f513(x67641,x67643)),f310(a881,f2(a881),x67643))) % 197.39/197.43 [6774]P1(f341(f341(f294(a1),x67741),f57(a1,x67742,x67743)))+~P1(f341(f341(f294(a1),x67741),x67742))+~P1(f341(f341(f294(a1),x67741),x67743)) % 197.39/197.43 [6801]E(x68011,x68012)+~E(f341(f341(f169(x68013),x68011),f483(x68013,x68012,x68011)),f341(f341(f169(x68013),x68012),f483(x68013,x68012,x68011)))+~E(f341(f194(f883(x68013)),x68011),f341(f194(f883(x68013)),x68012)) % 197.39/197.43 [6806]~E(x68063,f341(f341(f38(a881),x68061),x68062))+~P1(f341(f341(f242(a881),f2(a881)),x68062))+P1(f341(f341(f242(a881),x68061),f341(f341(f92(a881),x68062),f341(a128,x68063)))) % 197.39/197.43 [6820]~P1(f341(x68201,x68203))+~P1(f341(f341(f241(a881),x68203),x68202))+P1(f341(f341(f344(a881),f512(x68201,x68202)),f310(a881,f2(a881),x68202))) % 197.39/197.43 [6861]~P1(f341(x68611,x68613))+P1(f341(x68611,f543(x68611,x68612)))+~P1(f341(f341(f344(a881),x68613),f310(a881,f2(a881),x68612))) % 197.39/197.43 [6884]~P121(x68843)+~P1(f341(f341(f242(x68843),f341(f116(x68843),x68841)),f341(f116(x68843),x68842)))+P1(f341(f341(f242(a881),x68841),x68842)) % 197.39/197.43 [6885]~P114(x68853)+~P1(f341(f341(f242(x68853),f341(f117(x68853),x68851)),f341(f117(x68853),x68852)))+P1(f341(f341(f242(a1),x68851),x68852)) % 197.39/197.43 [6886]~P121(x68863)+~P1(f341(f341(f241(x68863),f341(f116(x68863),x68861)),f341(f116(x68863),x68862)))+P1(f341(f341(f241(a881),x68861),x68862)) % 197.39/197.43 [6887]~P114(x68873)+~P1(f341(f341(f241(x68873),f341(f117(x68873),x68871)),f341(f117(x68873),x68872)))+P1(f341(f341(f241(a1),x68871),x68872)) % 197.39/197.43 [6906]~P121(x69061)+~P1(f341(f341(f242(x69061),f89(x69061)),x69062))+P1(f341(f341(f242(x69061),f89(x69061)),f341(f341(f251(x69061),x69062),f341(a128,x69063)))) % 197.39/197.43 [6910]~P80(x69101)+~P1(f341(f341(f242(x69101),f341(f90(x69101),x69103)),f341(f90(x69101),x69102)))+P1(f341(f341(f242(x69101),x69102),x69103)) % 197.39/197.43 [6911]~P80(x69111)+~P1(f341(f341(f241(x69111),f341(f90(x69111),x69113)),f341(f90(x69111),x69112)))+P1(f341(f341(f241(x69111),x69112),x69113)) % 197.39/197.43 [6912]~P92(x69121)+~P1(f341(f341(f241(x69121),f341(f90(x69121),x69123)),f341(f90(x69121),x69122)))+P1(f341(f341(f241(x69121),x69122),x69123)) % 197.39/197.43 [6937]P1(f341(x69371,x69372))+~P1(f341(x69371,f535(x69371,x69373)))+~P1(f341(f341(f344(a881),x69372),f310(a881,f2(a881),x69373))) % 197.39/197.43 [6959]~P65(x69591)+P1(f341(f341(f242(x69591),f350(x69593,x69592,x69591)),f89(x69591)))+P1(f341(f341(f241(x69591),x69592),x69593)) % 197.39/197.43 [6982]~E(f57(a881,x69823,x69822),f57(a881,x69821,x69822))+E(f341(f341(f91(a881),x69821),f341(f341(f92(a881),x69822),f862(x69821,x69822,x69823))),x69823)+~P1(f341(f341(f241(a881),x69821),x69823)) % 197.39/197.43 [7037]E(f341(f341(f8(x70371,a881),x70372),x70373),f2(a881))+~P1(f341(f72(x70371),x70373))+P1(f341(f341(f344(x70371),f606(x70372,x70373,x70371)),x70373)) % 197.39/197.43 [7038]E(f341(f341(f11(x70381,a881),x70382),x70383),f89(a881))+~P1(f341(f72(x70381),x70383))+P1(f341(f341(f344(x70381),f609(x70382,x70383,x70381)),x70383)) % 197.39/197.43 [7061]~P101(x70611)+~P1(f341(f341(f242(x70611),x70612),x70613))+P1(f341(f341(f242(f889(x70611,a874)),f341(f268(x70611),x70612)),f341(f268(x70611),x70613))) % 197.39/197.43 [7062]~P105(x70621)+~P1(f341(f341(f241(x70621),x70622),x70623))+P1(f341(f341(f241(f889(x70621,a874)),f341(f308(x70621),x70622)),f341(f308(x70621),x70623))) % 197.39/197.43 [7063]~P101(x70631)+~P1(f341(f341(f241(x70631),x70633),x70632))+P1(f341(f341(f241(f889(x70631,a874)),f341(f311(x70631),x70632)),f341(f311(x70631),x70633))) % 197.39/197.43 [7064]~P101(x70641)+~P1(f341(f341(f241(x70641),x70642),x70643))+P1(f341(f341(f241(f889(x70641,a874)),f341(f268(x70641),x70642)),f341(f268(x70641),x70643))) % 197.39/197.43 [7065]~P105(x70651)+~P1(f341(f341(f241(x70651),x70653),x70652))+P1(f341(f341(f241(f889(x70651,a874)),f341(f269(x70651),x70652)),f341(f269(x70651),x70653))) % 197.39/197.43 [7074]~P8(x70741)+P1(f341(f341(f241(x70741),x70742),f40(x70741,x70743)))+P1(f341(f341(f344(x70741),f729(x70743,x70742,x70741)),x70743)) % 197.39/197.43 [7080]~P80(x70801)+P1(f341(f341(f242(x70801),f341(f341(f3(x70801),x70802),x70803)),f2(x70801)))+~P1(f341(f341(f242(x70801),x70802),x70803)) % 197.39/197.43 [7081]~P80(x70811)+P1(f341(f341(f241(x70811),f341(f341(f3(x70811),x70812),x70813)),f2(x70811)))+~P1(f341(f341(f241(x70811),x70812),x70813)) % 197.39/197.43 [7118]~P1(f341(f341(f294(a1),x71181),f57(a1,x71182,x71183)))+~P1(f341(f341(f294(a1),x71181),x71183))+P1(f341(f341(f294(a1),x71181),x71182)) % 197.39/197.43 [7125]P1(f341(x71251,x71252))+P1(f341(f341(f241(a881),f535(x71251,x71253)),x71253))+~P1(f341(f341(f344(a881),x71252),f310(a881,f2(a881),x71253))) % 197.39/197.43 [7166]~E(f341(f341(f8(x71661,a881),x71662),x71663),f89(a881))+~P1(f341(f72(x71661),x71663))+P1(f341(f341(f344(x71661),f605(x71662,x71663,x71661)),x71663)) % 197.39/197.43 [7167]~P1(f341(x71671,x71673))+P1(f341(f341(f241(a881),f543(x71671,x71672)),x71672))+~P1(f341(f341(f344(a881),x71673),f310(a881,f2(a881),x71672))) % 197.39/197.43 [7204]~P8(x72041)+P1(f341(f341(f344(x72041),f691(x72043,x72042,x72041)),x72042))+P1(f341(f341(f241(x72041),f39(x72041,x72042)),x72043)) % 197.39/197.43 [7231]~E(f341(f341(f8(x72311,a881),x72312),x72313),f341(a128,f2(a881)))+~P1(f341(f72(x72311),x72313))+P1(f341(f341(f344(x72311),f607(x72312,x72313,x72311)),x72313)) % 197.39/197.43 [7242]E(x72421,f2(a881))+P1(f341(x72422,f57(a881,x72423,x72421)))+P1(f341(f341(f242(a881),f857(x72421,x72423,x72422)),x72421)) % 197.39/197.43 [7353]~P1(f341(x73531,x73532))+P1(f341(x73531,f57(a881,x73532,x73533)))+P1(f341(f341(f242(a881),f857(x73533,x73532,x73531)),x73533)) % 197.39/197.43 [7461]E(x74611,f129(x74612))+~P1(f341(f341(f344(f883(x74612)),x74611),f166(x74612,x74613)))+P1(f341(f341(f344(x74612),f525(x74613,x74611,x74612)),x74613)) % 197.39/197.43 [7486]~P101(x74861)+E(f341(f341(f125(f889(x74861,a874)),f341(f341(f318(x74861),x74862),f193(f889(x74861,a874)))),f313(x74861,x74862,x74863)),f341(f309(x74861,x74862),x74863))+~P1(f341(f341(f242(x74861),x74862),x74863)) % 197.39/197.43 [7510]~P101(x75101)+E(f341(f341(f125(f889(x75101,a874)),f341(f341(f318(x75101),x75102),f193(f889(x75101,a874)))),f312(x75101,x75102,x75103)),f310(x75101,x75102,x75103))+~P1(f341(f341(f241(x75101),x75102),x75103)) % 197.39/197.43 [7618]~P101(x76181)+P1(f341(f341(f242(x76181),x76182),x76183))+~P1(f341(f341(f242(f889(x76181,a874)),f341(f268(x76181),x76182)),f341(f268(x76181),x76183))) % 197.39/197.43 [7619]~P101(x76191)+P1(f341(f341(f241(x76191),x76192),x76193))+~P1(f341(f341(f241(f889(x76191,a874)),f341(f311(x76191),x76193)),f341(f311(x76191),x76192))) % 197.39/197.43 [7620]~P105(x76201)+P1(f341(f341(f241(x76201),x76202),x76203))+~P1(f341(f341(f241(f889(x76201,a874)),f341(f269(x76201),x76203)),f341(f269(x76201),x76202))) % 197.39/197.43 [7621]~P101(x76211)+P1(f341(f341(f241(x76211),x76212),x76213))+~P1(f341(f341(f241(f889(x76211,a874)),f341(f268(x76211),x76212)),f341(f268(x76211),x76213))) % 197.39/197.43 [7622]~P105(x76221)+P1(f341(f341(f241(x76221),x76222),x76223))+~P1(f341(f341(f241(f889(x76221,a874)),f341(f308(x76221),x76222)),f341(f308(x76221),x76223))) % 197.39/197.43 [7645]~P80(x76451)+~P1(f341(f341(f242(x76451),f341(f341(f3(x76451),x76452),x76453)),f2(x76451)))+P1(f341(f341(f242(x76451),x76452),x76453)) % 197.39/197.43 [7646]~P80(x76461)+~P1(f341(f341(f241(x76461),f341(f341(f3(x76461),x76462),x76463)),f2(x76461)))+P1(f341(f341(f241(x76461),x76462),x76463)) % 197.39/197.43 [7801]E(x78011,f2(a881))+~E(f341(f147(a881,a881,f91(a881),x78012),x78013),f2(a881))+~P1(f341(f341(f344(a881),x78011),f341(f176(a881),x78013))) % 197.39/197.43 [7804]~P8(x78041)+~P1(f341(f341(f241(x78041),f691(x78043,x78042,x78041)),x78043))+P1(f341(f341(f241(x78041),f39(x78041,x78042)),x78043)) % 197.39/197.43 [7956]P1(f341(f341(f241(a1),f2(a1)),f851(x79561,x79562,x79563)))+P1(f341(f341(x79562,f341(f341(f38(a1),x79561),x79563)),f57(a1,x79561,x79563)))+~P1(f341(f341(f242(a1),f2(a1)),x79563)) % 197.39/197.43 [8049]E(x80491,x80492)+~E(f341(f194(f883(x80493)),x80491),f341(f194(f883(x80493)),x80492))+~P1(f341(f341(f262(x80493,x80493,a874),a338),f523(x80493,x80491,x80492))) % 197.39/197.43 [8120]~P34(x81202,x81203)+E(x81201,f193(f889(x81202,a874)))+~P1(f341(f341(f241(f889(x81202,a874)),x81201),f341(f292(x81202,x81202,x81203),x81201))) % 197.39/197.43 [8151]~P66(x81511)+~P1(f341(f341(f241(x81511),x81512),f341(f341(f91(x81511),x81513),f371(x81513,x81512,x81511))))+P1(f341(f341(f241(x81511),x81512),x81513)) % 197.39/197.43 [8186]E(f341(f341(f317(a881,a881),f341(f341(f9(a881,a881,a881),f3(a881)),x81861)),f341(f309(a881,x81862),x81863)),f193(f889(a881,a874)))+P1(f341(f341(f242(a881),x81861),x81863))+P1(f341(f341(f242(a881),x81862),x81863)) % 197.39/197.43 [8192]P46(x81921,x81922,x81923)+P1(f341(f341(f344(x81921),f382(x81923,x81922,x81921)),x81922))+P1(f341(f341(f344(f888(x81921,x81921)),f383(x81923,x81922,x81921)),x81923)) % 197.39/197.43 [8213]P1(f341(f341(x82132,f341(f341(f38(a1),x82131),x82133)),f57(a1,x82131,x82133)))+~P1(f341(f341(f242(a1),f2(a1)),x82133))+P1(f341(f341(f242(a1),f851(x82131,x82132,x82133)),x82133)) % 197.39/197.43 [8316]E(f341(f341(f317(a881,a881),f341(f341(f9(a881,a881,a881),f3(a881)),x83161)),f341(f309(a881,x83162),x83163)),f341(f341(f318(a881),f2(a881)),f193(f889(a881,a874))))+P1(f341(f341(f242(a881),x83161),x83163))+~P1(f341(f341(f242(a881),x83162),x83163)) % 197.39/197.43 [8352]~P101(x83521)+E(f155(x83521,x83521,f7(x83521),x83522,x83523),x83523)+~P1(f341(f341(f344(x83521),x83522),f341(f176(x83521),x83523))) % 197.39/197.43 [8389]E(f341(f341(f91(a1),f341(f341(f92(a1),x83891),f852(x83892,x83893,x83891))),f851(x83892,x83893,x83891)),x83892)+P1(f341(f341(x83893,f341(f341(f38(a1),x83892),x83891)),f57(a1,x83892,x83891)))+~P1(f341(f341(f242(a1),f2(a1)),x83891)) % 197.39/197.43 [8641]~P1(f341(f341(x86411,f852(x86412,x86411,x86413)),f851(x86412,x86411,x86413)))+P1(f341(f341(x86411,f341(f341(f38(a1),x86412),x86413)),f57(a1,x86412,x86413)))+~P1(f341(f341(f242(a1),f2(a1)),x86413)) % 197.39/197.43 [9504]~P1(f341(f72(x95041),x95042))+~P1(f341(f341(f344(x95041),x95043),x95042))+P1(f341(f341(f242(a881),f341(f37(x95041),f341(f341(f3(f889(x95041,a874)),x95042),f341(f341(f318(x95041),x95043),f193(f889(x95041,a874)))))),f341(f37(x95041),x95042))) % 197.39/197.43 [10133]P46(x101331,x101332,x101333)+~P1(f341(f341(f262(x101331,x101331,a874),f341(f341(f9(x101331,f889(x101331,a874),f889(x101331,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x101331,a874),f889(x101331,a874)),x101331),f10(a874,a874,x101331)),f341(f341(f10(a874,f889(a874,a874),x101331),a339),f341(f341(f9(x101331,f889(x101331,a874),a874),f344(x101331)),x101332)))),f341(f341(f9(x101331,f889(x101331,a874),a874),f344(x101331)),x101332))),f383(x101333,x101332,x101331)))+P1(f341(f341(f344(x101331),f382(x101333,x101332,x101331)),x101332)) % 197.39/197.43 [5452]~P118(x54522)+E(x54521,f2(x54522))+E(f341(f341(f298(x54522),x54523),f341(f90(x54522),x54521)),f341(f90(x54522),f341(f341(f298(x54522),x54523),x54521))) % 197.39/197.43 [5580]~E(x55803,f193(f889(x55801,a874)))+~E(x55802,f193(f889(x55801,a874)))+E(f341(f341(f125(f889(x55801,a874)),x55802),x55803),f193(f889(x55801,a874))) % 197.39/197.43 [5633]~E(x56333,f2(a881))+~P1(f341(x56331,f2(a881)))+P1(f341(x56331,f341(f341(f38(a881),x56332),x56333))) % 197.39/197.43 [5791]~P66(x57912)+E(x57911,f2(x57912))+E(f341(f341(f298(x57912),f341(f85(x57912),x57913)),f341(f85(x57912),x57911)),f341(f85(x57912),f341(f341(f298(x57912),x57913),x57911))) % 197.39/197.43 [5829]~P87(x58291)+~P1(f341(x58292,x58293))+P1(f341(f341(f241(x58291),f341(f243(x58291),x58292)),x58293)) % 197.39/197.43 [5886]~P108(x58861)+~E(x58862,f89(x58861))+P1(f341(f341(f294(x58861),x58862),f341(f341(f251(x58861),x58862),x58863))) % 197.39/197.43 [5903]~P59(x59031)+E(f341(f341(f92(x59031),x59032),f341(f341(f38(x59031),x59033),x59032)),x59033)+~P1(f341(f341(f294(x59031),x59032),x59033)) % 197.39/197.43 [5963]~P1(f341(f72(x59631),x59633))+E(f341(f37(x59631),f341(f341(f318(x59631),x59632),x59633)),f341(a128,f341(f37(x59631),x59633)))+P1(f341(f341(f344(x59631),x59632),x59633)) % 197.39/197.43 [6043]~E(x60432,f2(a881))+P1(f341(x60431,f2(a881)))+~P1(f341(x60431,f341(f341(f38(a881),x60433),x60432))) % 197.39/197.43 [6062]~P1(f341(f72(x60621),x60623))+E(f341(f37(x60621),f341(f341(f318(x60621),x60622),x60623)),f341(f37(x60621),x60623))+~P1(f341(f341(f344(x60621),x60622),x60623)) % 197.39/197.43 [6091]~P1(f341(f72(x60911),x60913))+E(f341(f37(x60911),f341(f341(f318(x60911),x60912),x60913)),f341(f341(f91(a881),f89(a881)),f341(f37(x60911),x60913)))+P1(f341(f341(f344(x60911),x60912),x60913)) % 197.39/197.43 [6098]~P7(x60981)+E(f341(f341(f38(x60981),x60982),f341(f90(x60981),x60983)),f341(f90(x60981),f341(f341(f38(x60981),x60982),x60983)))+~P1(f341(f341(f294(x60981),x60983),x60982)) % 197.39/197.43 [6202]E(f341(f341(f91(a881),x62021),f855(x62021,x62022,x62023)),x62022)+~P1(f341(x62023,f2(a881)))+P1(f341(x62023,f341(f341(f3(a881),x62022),x62021))) % 197.39/197.43 [6203]E(f341(f341(f91(a881),x62031),f859(x62031,x62032,x62033)),x62032)+~P1(f341(x62033,f2(a881)))+P1(f341(x62033,f341(f341(f3(a881),x62032),x62031))) % 197.39/197.43 [6227]~P7(x62271)+E(f341(f341(f38(x62271),f341(f90(x62271),x62272)),x62273),f341(f90(x62271),f341(f341(f38(x62271),x62272),x62273)))+~P1(f341(f341(f294(x62271),x62273),x62272)) % 197.39/197.43 [6254]~P89(x62541)+~E(f341(f118(x62541),x62542),f341(f118(x62541),x62543))+P29(x62541,f341(f118(x62541),f341(f341(f91(a1),x62542),f341(f90(a1),x62543)))) % 197.39/197.43 [6263]~P113(x62631)+E(f341(f341(f3(x62631),f341(f116(x62631),x62632)),f341(f116(x62631),x62633)),f341(f116(x62631),f341(f341(f3(a881),x62632),x62633)))+~P1(f341(f341(f241(a881),x62633),x62632)) % 197.39/197.43 [6271]~P111(x62711)+~P1(f341(f341(f294(x62711),x62712),x62713))+P1(f341(f341(f294(x62711),f341(f90(x62711),x62712)),x62713)) % 197.39/197.43 [6272]~P114(x62721)+~P1(f341(f341(f294(x62721),x62722),x62723))+P1(f341(f341(f294(x62721),f341(f85(x62721),x62722)),x62723)) % 197.39/197.43 [6363]E(f341(f341(f91(a881),x63631),f855(x63631,x63632,x63633)),x63632)+P1(f341(f341(f242(a881),x63632),x63631))+P1(f341(x63633,f341(f341(f3(a881),x63632),x63631))) % 197.39/197.43 [6364]E(f341(f341(f91(a881),x63641),f859(x63641,x63642,x63643)),x63642)+P1(f341(f341(f242(a881),x63642),x63641))+P1(f341(x63643,f341(f341(f3(a881),x63642),x63641))) % 197.39/197.43 [6383]~P114(x63831)+E(f341(f341(f92(x63831),f341(f85(x63831),x63832)),x63833),f341(f85(x63831),f341(f341(f92(x63831),x63832),x63833)))+~P1(f341(f341(f241(x63831),f2(x63831)),x63833)) % 197.39/197.43 [6384]~P65(x63841)+E(f341(f341(f298(x63841),f341(f85(x63841),x63842)),x63843),f341(f85(x63841),f341(f341(f298(x63841),x63842),x63843)))+~P1(f341(f341(f242(x63841),f2(x63841)),x63843)) % 197.39/197.43 [6385]~P113(x63851)+~P120(x63851)+E(f341(f341(f298(x63851),f341(f117(x63851),f341(f227(x63852),x63853))),f341(f117(x63851),f341(f220(x63852),x63853))),f230(x63852,x63851,x63853)) % 197.39/197.43 [6442]E(x64421,f129(x64422))+~E(f182(x64422,x64423),f129(f883(x64422)))+~P1(f341(f341(f344(f883(x64422)),x64421),f341(f176(f883(x64422)),x64423))) % 197.39/197.43 [6461]~P108(x64611)+~P1(f341(f341(f242(a881),f2(a881)),x64613))+P1(f341(f341(f294(x64611),x64612),f341(f341(f251(x64611),x64612),x64613))) % 197.39/197.43 [6489]~P1(f341(f142(x64891),x64893))+P1(f341(f341(f344(x64891),x64892),f341(f176(x64891),x64893)))+P1(f341(f142(x64891),f341(f341(f156(x64891),x64892),x64893))) % 197.39/197.43 [6523]P1(f341(x65231,f2(a881)))+~P1(f341(f341(f242(a881),x65232),x65233))+~P1(f341(x65231,f341(f341(f3(a881),x65232),x65233))) % 197.39/197.43 [6542]~P114(x65421)+P1(f341(f341(f242(x65421),x65422),x65423))+~P1(f341(f341(f242(x65421),f341(f85(x65421),x65422)),x65423)) % 197.39/197.43 [6544]~P81(x65441)+P1(f341(f341(f241(x65441),x65442),x65443))+~P1(f341(f341(f241(x65441),f341(f85(x65441),x65442)),x65443)) % 197.39/197.43 [6545]~P114(x65451)+P1(f341(f341(f294(x65451),x65452),x65453))+~P1(f341(f341(f294(x65451),f341(f85(x65451),x65452)),x65453)) % 197.39/197.43 [6546]~P111(x65461)+P1(f341(f341(f294(x65461),x65462),x65463))+~P1(f341(f341(f294(x65461),f341(f90(x65461),x65462)),x65463)) % 197.39/197.43 [6563]E(x65631,f129(x65632))+E(f341(f146(x65632),f341(f341(f143(x65632),x65633),x65631)),f341(f341(f169(x65632),x65631),x65633))+~P1(f341(f341(f242(a881),x65633),f341(f194(f883(x65632)),x65631))) % 197.39/197.43 [6622]~P1(f341(x66221,x66223))+P1(f341(x66221,f600(x66221,x66222)))+~P1(f341(f341(f344(a881),x66223),f341(f309(a881,f2(a881)),x66222))) % 197.39/197.43 [6644]P1(f341(x66441,x66442))+~P1(f341(f341(f242(a881),x66442),x66443))+P1(f341(f341(f344(a881),f551(x66441,x66443)),f341(f309(a881,f2(a881)),x66443))) % 197.39/197.43 [6661]~P121(x66611)+~P1(f341(f341(f242(x66611),f2(x66611)),x66612))+P1(f341(f341(f242(x66611),f2(x66611)),f341(f341(f251(x66611),x66612),x66613))) % 197.39/197.43 [6663]~P121(x66631)+~P1(f341(f341(f241(x66631),f2(x66631)),x66632))+P1(f341(f341(f241(x66631),f2(x66631)),f341(f341(f251(x66631),x66632),x66633))) % 197.39/197.43 [6664]~P121(x66641)+~P1(f341(f341(f241(x66641),f89(x66641)),x66642))+P1(f341(f341(f241(x66641),f89(x66641)),f341(f341(f251(x66641),x66642),x66643))) % 197.39/197.43 [6688]~P1(f341(x66881,x66883))+~P1(f341(f341(f242(a881),x66883),x66882))+P1(f341(f341(f344(a881),f550(x66881,x66882)),f341(f309(a881,f2(a881)),x66882))) % 197.39/197.43 [6697]P1(f341(f72(x66971),x66972))+~P1(f341(f72(x66971),x66973))+~P1(f341(f341(f241(f889(x66971,a874)),x66972),x66973)) % 197.39/197.43 [6704]~P1(f341(f341(f294(a881),x67041),x67042))+~P1(f341(f341(f294(a881),x67041),x67043))+P1(f341(f341(f294(a881),x67041),f341(f341(f3(a881),x67042),x67043))) % 197.39/197.43 [6705]P1(f341(x67051,x67052))+~P1(f341(x67051,f552(x67051,x67053)))+~P1(f341(f341(f344(a881),x67052),f341(f309(a881,f2(a881)),x67053))) % 197.39/197.43 [6715]E(x67151,f2(a881))+P1(f341(x67152,f856(x67151,x67153,x67152)))+~P1(f341(x67152,f341(f341(f38(a881),x67153),x67151))) % 197.39/197.43 [6721]~P122(x67212)+E(x67211,f2(x67212))+~E(f341(f341(f91(x67212),f341(f341(f92(x67212),x67213),x67213)),f341(f341(f92(x67212),x67211),x67211)),f2(x67212)) % 197.39/197.43 [6722]~P122(x67222)+E(x67221,f2(x67222))+~E(f341(f341(f91(x67222),f341(f341(f92(x67222),x67221),x67221)),f341(f341(f92(x67222),x67223),x67223)),f2(x67222)) % 197.39/197.43 [6765]E(x67651,f2(a881))+~P1(f341(x67652,f861(x67651,x67653,x67652)))+P1(f341(x67652,f341(f341(f38(a881),x67653),x67651))) % 197.39/197.43 [6770]~P101(x67701)+~P16(x67701,x67703)+P16(x67701,f341(f341(f154(x67701,x67701,f7(x67701)),x67702),x67703)) % 197.39/197.43 [6814]P1(f341(x68141,f856(x68142,x68143,x68141)))+P1(f341(x68141,f2(a881)))+~P1(f341(x68141,f341(f341(f38(a881),x68143),x68142))) % 197.39/197.43 [6819]~P89(x68191)+E(f341(f118(x68191),x68192),f341(f118(x68191),x68193))+~P29(x68191,f341(f118(x68191),f341(f341(f91(a1),x68192),f341(f90(a1),x68193)))) % 197.39/197.43 [6889]E(x68891,f2(a1))+E(x68892,f2(a1))+~P1(f341(f61(x68892,x68892),f341(f341(f257(a1,a1),x68893),x68891))) % 197.39/197.43 [6890]E(x68901,f89(a1))+E(x68902,f2(a1))+~P1(f341(f61(x68902,x68902),f341(f341(f257(a1,a1),x68901),x68903))) % 197.39/197.43 [6908]P1(f341(x69081,x69082))+P1(f341(f341(f242(a881),f552(x69081,x69083)),x69083))+~P1(f341(f341(f344(a881),x69082),f341(f309(a881,f2(a881)),x69083))) % 197.39/197.43 [6933]~P1(f341(x69331,f861(x69333,x69332,x69331)))+~P1(f341(x69331,f2(a881)))+P1(f341(x69331,f341(f341(f38(a881),x69332),x69333))) % 197.39/197.43 [6934]~P1(f341(x69341,f855(x69343,x69342,x69341)))+~P1(f341(x69341,f2(a881)))+P1(f341(x69341,f341(f341(f3(a881),x69342),x69343))) % 197.39/197.43 [6935]~P1(f341(x69351,f859(x69353,x69352,x69351)))+~P1(f341(x69351,f2(a881)))+P1(f341(x69351,f341(f341(f3(a881),x69352),x69353))) % 197.39/197.43 [6955]~P1(f341(x69551,x69553))+P1(f341(f341(f242(a881),f600(x69551,x69552)),x69552))+~P1(f341(f341(f344(a881),x69553),f341(f309(a881,f2(a881)),x69552))) % 197.39/197.43 [6956]E(f341(f341(f3(a881),f341(f341(f3(a881),x69561),x69562)),f341(f341(f3(a881),x69563),x69562)),f341(f341(f3(a881),x69561),x69563))+~P1(f341(f341(f241(a881),x69562),x69561))+~P1(f341(f341(f241(a881),x69562),x69563)) % 197.39/197.43 [6993]~P80(x69931)+~P1(f341(f341(f242(x69931),f341(f90(x69931),x69933)),x69932))+P1(f341(f341(f242(x69931),f341(f90(x69931),x69932)),x69933)) % 197.39/197.43 [6994]~P114(x69941)+~P1(f341(f341(f242(x69941),f341(f85(x69941),x69942)),x69943))+P1(f341(f341(f242(x69941),f341(f90(x69941),x69942)),x69943)) % 197.39/197.43 [6996]~P80(x69961)+~P1(f341(f341(f241(x69961),f341(f90(x69961),x69963)),x69962))+P1(f341(f341(f241(x69961),f341(f90(x69961),x69962)),x69963)) % 197.39/197.43 [6998]~P81(x69981)+~P1(f341(f341(f241(x69981),f341(f85(x69981),x69982)),x69983))+P1(f341(f341(f241(x69981),f341(f90(x69981),x69982)),x69983)) % 197.39/197.43 [7000]~P1(f341(f341(f294(a1),x70001),x70003))+P1(f341(f341(f294(a1),x70001),x70002))+~P1(f341(f341(f294(a1),x70001),f341(f341(f3(a1),x70002),x70003))) % 197.39/197.43 [7032]~P1(f341(x70323,f855(x70322,x70321,x70323)))+P1(f341(f341(f242(a881),x70321),x70322))+P1(f341(x70323,f341(f341(f3(a881),x70321),x70322))) % 197.39/197.43 [7033]~P1(f341(x70333,f859(x70332,x70331,x70333)))+P1(f341(f341(f242(a881),x70331),x70332))+P1(f341(x70333,f341(f341(f3(a881),x70331),x70332))) % 197.39/197.43 [7084]~E(f706(x70843,x70842,x70841),f707(x70843,x70842,x70841))+E(f341(f341(f126(f889(x70841,a874)),x70842),f39(f889(x70841,a874),x70843)),f193(f889(x70841,a874)))+P1(f341(f341(f344(f889(x70841,a874)),x70842),x70843)) % 197.39/197.43 [7092]~P1(f341(f72(x70921),x70923))+P1(f341(f72(x70921),f40(f889(x70921,a874),x70922)))+~P1(f341(f341(f344(f889(x70921,a874)),x70923),x70922)) % 197.39/197.43 [7153]~P101(x71531)+E(f341(f341(f125(f889(x71531,a874)),f341(f309(x71531,x71532),x71533)),f341(f341(f318(x71531),x71533),f193(f889(x71531,a874)))),f310(x71531,x71532,x71533))+~P1(f341(f341(f241(x71531),x71532),x71533)) % 197.39/197.43 [7157]E(x71571,f2(a881))+P1(f341(f341(f242(a881),f863(x71571,x71573,x71572)),x71571))+P1(f341(x71572,f341(f341(f38(a881),x71573),x71571))) % 197.39/197.43 [7191]E(x71911,x71912)+~P1(f341(f341(f241(f889(x71913,a874)),x71911),x71912))+P1(f341(f341(f242(f889(x71913,a874)),x71911),x71912)) % 197.39/197.43 [7201]E(x72011,x72012)+~E(f341(f194(f883(x72013)),x72011),f341(f194(f883(x72013)),x72012))+P1(f341(f341(f242(a881),f483(x72013,x72011,x72012)),f341(f194(f883(x72013)),x72012))) % 197.39/197.43 [7243]P11(x72431,x72432,x72433)+~E(f341(f272(x72431,x72431),x72433),x72432)+~E(f341(f341(f296(x72431,x72431,x72431),f341(f293(x72431,x72431),x72433)),x72433),x72433) % 197.39/197.43 [7319]E(x73191,f2(a1))+~P1(f341(f341(f294(a1),x73192),x73193))+P1(f341(f341(f294(a1),f341(f341(f92(a1),x73191),x73192)),f341(f341(f92(a1),x73191),x73193))) % 197.39/197.43 [7321]~P1(f341(x73211,f2(a881)))+P1(f341(f341(f242(a881),f863(x73213,x73212,x73211)),x73213))+P1(f341(x73211,f341(f341(f38(a881),x73212),x73213))) % 197.39/197.43 [7328]~P101(x73281)+E(f341(f341(f125(f889(x73281,a874)),f313(x73281,x73282,x73283)),f341(f341(f318(x73281),x73283),f193(f889(x73281,a874)))),f312(x73281,x73282,x73283))+~P1(f341(f341(f242(x73281),x73282),x73283)) % 197.39/197.43 [7424]~P1(f341(f72(x74241),x74243))+P1(f341(f341(f242(a881),f341(f37(x74241),x74242)),f341(f37(x74241),x74243)))+~P1(f341(f341(f242(f889(x74241,a874)),x74242),x74243)) % 197.39/197.43 [7425]~P1(f341(f72(x74251),x74253))+P1(f341(f341(f241(a881),f341(f37(x74251),x74252)),f341(f37(x74251),x74253)))+~P1(f341(f341(f241(f889(x74251,a874)),x74252),x74253)) % 197.39/197.43 [7455]~P1(f341(x74553,x74552))+P1(f341(f341(f199(x74551),x74552),f484(x74552,x74551,x74553)))+~P1(f341(f341(f199(f32(x74553,x74551)),x74552),x74552)) % 197.39/197.43 [7555]E(x75551,x75552)+~P1(f341(f341(f241(f889(x75553,a874)),x75552),x75551))+~P1(f341(f341(f241(f889(x75553,a874)),x75551),x75552)) % 197.39/197.43 [7558]~P101(x75581)+P16(x75581,x75582)+~P16(x75581,f341(f341(f154(x75581,x75581,f7(x75581)),x75583),x75582)) % 197.39/197.43 [7626]~P1(f341(f341(f242(a881),x76263),x76262))+~P1(f341(f341(f242(a881),x76263),x76261))+P1(f341(f341(f242(a881),f341(f341(f3(a881),x76261),x76262)),f341(f341(f3(a881),x76261),x76263))) % 197.39/197.43 [7627]~P1(f341(f341(f242(a881),x76271),x76273))+~P1(f341(f341(f241(a881),x76272),x76271))+P1(f341(f341(f242(a881),f341(f341(f3(a881),x76271),x76272)),f341(f341(f3(a881),x76273),x76272))) % 197.39/197.43 [7643]~P1(f341(f341(f242(a1),x76432),f2(a1)))+~P1(f341(f341(f241(a1),x76433),x76431))+P1(f341(f341(f241(a1),f341(f341(f38(a1),x76431),x76432)),f341(f341(f38(a1),x76433),x76432))) % 197.39/197.43 [7662]~P1(f341(f341(f242(a881),f2(a881)),x76622))+~P1(f341(f341(f242(a881),x76621),x76623))+P1(f341(f341(f242(a881),f341(f341(f92(a881),x76621),x76622)),f341(f341(f92(a881),x76623),x76622))) % 197.39/197.43 [7663]~P1(f341(f341(f242(a881),f2(a881)),x76631))+~P1(f341(f341(f242(a881),x76632),x76633))+P1(f341(f341(f242(a881),f341(f341(f92(a881),x76631),x76632)),f341(f341(f92(a881),x76631),x76633))) % 197.39/197.43 [7664]~P1(f341(f341(f242(a1),f2(a1)),x76641))+~P1(f341(f341(f242(a1),x76642),x76643))+P1(f341(f341(f242(a1),f341(f341(f92(a1),x76641),x76642)),f341(f341(f92(a1),x76641),x76643))) % 197.39/197.43 [7666]~P1(f341(f341(f242(a881),f2(a881)),x76663))+~P1(f341(f341(f241(a881),x76663),x76662))+P1(f341(f341(f241(a881),f341(f341(f38(a881),x76661),x76662)),f341(f341(f38(a881),x76661),x76663))) % 197.39/197.43 [7667]~P1(f341(f341(f242(a1),f2(a1)),x76672))+~P1(f341(f341(f241(a1),x76671),x76673))+P1(f341(f341(f241(a1),f341(f341(f38(a1),x76671),x76672)),f341(f341(f38(a1),x76673),x76672))) % 197.39/197.43 [7717]E(x77171,f2(a881))+E(f341(f341(f91(a881),f341(f341(f92(a881),x77171),f861(x77171,x77172,x77173))),f863(x77171,x77172,x77173)),x77172)+P1(f341(x77173,f341(f341(f38(a881),x77172),x77171))) % 197.39/197.43 [7774]E(f341(f341(f91(a881),f341(f341(f92(a881),x77741),f861(x77741,x77742,x77743))),f863(x77741,x77742,x77743)),x77742)+~P1(f341(x77743,f2(a881)))+P1(f341(x77743,f341(f341(f38(a881),x77742),x77741))) % 197.39/197.43 [7791]~P1(f341(f72(x77911),x77913))+P1(f341(f341(f344(x77911),f628(x77912,x77913,x77911)),x77913))+P1(f341(f341(f242(a881),f2(a881)),f341(f341(f11(x77911,a881),x77912),x77913))) % 197.39/197.43 [7792]~P1(f341(f72(x77921),x77923))+P1(f341(f341(f344(x77921),f819(x77922,x77923,x77921)),x77923))+P1(f341(f341(f242(a881),f2(a881)),f341(f341(f11(x77921,a881),x77922),x77923))) % 197.39/197.43 [7888]E(x78881,f2(a881))+P1(f341(f341(f294(a881),x78882),x78883))+~P1(f341(f341(f294(a881),f341(f341(f92(a881),x78881),x78882)),f341(f341(f92(a881),x78881),x78883))) % 197.39/197.43 [7890]E(x78901,f2(a1))+P1(f341(f341(f294(a1),x78902),x78903))+~P1(f341(f341(f294(a1),f341(f341(f92(a1),x78901),x78902)),f341(f341(f92(a1),x78901),x78903))) % 197.39/197.43 [8084]E(x80841,f193(f889(x80842,a874)))+E(x80841,f341(f341(f318(x80842),x80843),f193(f889(x80842,a874))))+~P1(f341(f341(f241(f889(x80842,a874)),x80841),f341(f341(f318(x80842),x80843),f193(f889(x80842,a874))))) % 197.39/197.43 [8122]~P1(f341(f341(f242(a881),f2(a881)),x81223))+P1(f341(f341(f242(a881),x81221),x81222))+~P1(f341(f341(f242(a881),f341(f341(f251(a881),x81223),x81221)),f341(f341(f251(a881),x81223),x81222))) % 197.39/197.43 [8124]~P1(f341(f341(f242(a881),f2(a881)),x81243))+P1(f341(f341(f241(a881),x81241),x81242))+~P1(f341(f341(f241(a881),f341(f341(f92(a881),x81243),x81241)),f341(f341(f92(a881),x81243),x81242))) % 197.39/197.43 [8125]~P1(f341(f341(f242(a881),f89(a881)),x81253))+P1(f341(f341(f241(a881),x81251),x81252))+~P1(f341(f341(f294(a881),f341(f341(f251(a881),x81253),x81251)),f341(f341(f251(a881),x81253),x81252))) % 197.39/197.43 [8126]~P1(f341(f341(f242(a881),f2(a881)),x81263))+P1(f341(f341(f241(a881),x81261),x81262))+~P1(f341(f341(f241(a881),f341(f341(f92(a881),x81261),x81263)),f341(f341(f92(a881),x81262),x81263))) % 197.39/197.43 [8128]~P1(f341(f341(f242(a881),f2(a881)),x81283))+P1(f341(f341(f294(a881),x81281),x81282))+~P1(f341(f341(f294(a881),f341(f341(f92(a881),x81283),x81281)),f341(f341(f92(a881),x81283),x81282))) % 197.39/197.43 [8160]~P1(f341(x81601,x81603))+P1(f341(f341(f199(f32(x81601,x81602)),f484(x81603,x81602,x81601)),x81603))+~P1(f341(f341(f199(f32(x81601,x81602)),x81603),x81603)) % 197.39/197.43 [8169]~E(f341(f341(f126(f889(x81691,a874)),f707(x81693,x81692,x81691)),f706(x81693,x81692,x81691)),f193(f889(x81691,a874)))+E(f341(f341(f126(f889(x81691,a874)),x81692),f39(f889(x81691,a874),x81693)),f193(f889(x81691,a874)))+P1(f341(f341(f344(f889(x81691,a874)),x81692),x81693)) % 197.39/197.43 [8173]~P70(x81731)+~P72(x81731)+E(f341(f341(f8(a1,x81731),f341(f341(f10(a881,x81731,a1),x81732),a119)),f341(f341(f317(a881,a1),f116(a1)),x81733)),f341(f341(f8(a881,x81731),x81732),x81733)) % 197.39/197.43 [8174]~P70(x81741)+~P72(x81741)+E(f341(f341(f11(a1,x81741),f341(f341(f10(a881,x81741,a1),x81742),a119)),f341(f341(f317(a881,a1),f116(a1)),x81743)),f341(f341(f11(a881,x81741),x81742),x81743)) % 197.39/197.43 [8188]E(x81881,f129(x81882))+~E(f341(f147(f883(x81882),f883(x81882),f137(x81882),f129(x81882)),x81883),f129(x81882))+~P1(f341(f341(f344(f883(x81882)),x81881),f341(f176(f883(x81882)),x81883))) % 197.39/197.43 [8215]P18(x82151,x82151,x82152,x82153)+~P1(f341(f72(x82151),x82153))+~P1(f341(f341(f241(f889(x82151,a874)),x82153),f341(f341(f317(x82151,x82151),x82152),x82153))) % 197.39/197.43 [8241]E(x82411,f193(f889(f889(x82412,a874),a874)))+P1(f341(f341(f344(f889(x82412,a874)),f807(x82413,x82411,x82412)),x82411))+P1(f341(f341(f241(f889(x82412,a874)),f40(f889(x82412,a874),x82411)),x82413)) % 197.39/197.43 [8283]~P1(f341(f72(x82831),x82833))+~P1(f341(f341(f242(a881),f2(a881)),f341(x82832,f628(x82832,x82833,x82831))))+P1(f341(f341(f242(a881),f2(a881)),f341(f341(f11(x82831,a881),x82832),x82833))) % 197.39/197.43 [8284]~P1(f341(f72(x82841),x82843))+~P1(f341(f341(f242(a881),f2(a881)),f341(x82842,f819(x82842,x82843,x82841))))+P1(f341(f341(f242(a881),f2(a881)),f341(f341(f11(x82841,a881),x82842),x82843))) % 197.39/197.43 [8320]~P64(x83202)+E(x83201,f89(x83202))+E(f341(f341(f298(x83202),f341(f341(f3(x83202),f341(f341(f251(x83202),x83201),x83203)),f89(x83202))),f341(f341(f3(x83202),x83201),f89(x83202))),f341(f341(f8(a881,x83202),f341(f251(x83202),x83201)),f341(f309(a881,f2(a881)),x83203))) % 197.39/197.43 [8375]E(x83751,f2(a881))+~P1(f341(x83753,f341(f341(f38(a881),x83752),x83751)))+P1(f341(f341(f242(a881),x83752),f341(f341(f92(a881),x83751),f341(a128,f856(x83751,x83752,x83753))))) % 197.39/197.43 [8395]P1(f341(x83951,f2(a881)))+~P1(f341(x83951,f341(f341(f38(a881),x83952),x83953)))+P1(f341(f341(f242(a881),x83952),f341(f341(f92(a881),x83953),f341(a128,f856(x83953,x83952,x83951))))) % 197.39/197.43 [8440]E(x84401,f2(a881))+~P1(f341(x84403,f341(f341(f38(a881),x84402),x84401)))+P1(f341(f341(f241(a881),f341(f341(f92(a881),x84401),f856(x84401,x84402,x84403))),x84402)) % 197.39/197.43 [8477]P1(f341(x84771,f2(a881)))+~P1(f341(x84771,f341(f341(f38(a881),x84773),x84772)))+P1(f341(f341(f241(a881),f341(f341(f92(a881),x84772),f856(x84772,x84773,x84771))),x84773)) % 197.39/197.43 [8479]~P101(x84791)+E(f341(f341(f154(x84791,x84791,f7(x84791)),x84792),x84793),f155(x84791,x84791,f7(x84791),x84792,x84793))+P1(f341(f341(f344(x84791),x84792),f341(f176(x84791),x84793))) % 197.39/197.43 [8530]E(x85301,f193(f889(f889(x85302,a874),a874)))+~P1(f341(f341(f241(f889(x85302,a874)),f807(x85303,x85301,x85302)),x85303))+P1(f341(f341(f241(f889(x85302,a874)),f40(f889(x85302,a874),x85301)),x85303)) % 197.39/197.43 [8595]~P66(x85951)+~P1(f341(f341(f242(x85951),x85952),x85953))+P1(f341(f341(f242(x85951),x85952),f341(f341(f298(x85951),f341(f341(f91(x85951),x85952),x85953)),f341(f341(f91(x85951),f89(x85951)),f89(x85951))))) % 197.39/197.43 [8647]~P1(f341(f341(x86471,f871(x86471,x86473,x86472)),f353(x86471,x86473,x86472)))+P1(f341(f341(x86471,x86472),x86473))+~P1(f341(f329(f888(a1,a1),a64),f341(f341(f257(a1,a1),x86472),x86473))) % 197.39/197.43 [8648]~P1(f341(f341(x86481,f354(x86481,x86483,x86482)),f355(x86481,x86483,x86482)))+P1(f341(f341(x86481,x86482),x86483))+~P1(f341(f329(f888(a1,a1),a69),f341(f341(f257(a1,a1),x86482),x86483))) % 197.39/197.43 [8649]~P1(f341(f341(x86491,f356(x86491,x86493,x86492)),f357(x86491,x86493,x86492)))+P1(f341(f341(x86491,x86492),x86493))+~P1(f341(f329(f888(a1,a1),a228),f341(f341(f257(a1,a1),x86492),x86493))) % 197.39/197.43 [8650]~P1(f341(f341(x86501,f358(x86501,x86503,x86502)),f359(x86501,x86503,x86502)))+P1(f341(f341(x86501,x86502),x86503))+~P1(f341(f329(f888(a881,a881),a226),f341(f341(f257(a881,a881),x86502),x86503))) % 197.39/197.43 [8651]~P1(f341(f341(x86511,f530(x86511,x86513,x86512)),f533(x86511,x86513,x86512)))+P1(f341(f341(x86511,x86512),x86513))+~P1(f341(f329(f888(a1,a1),a185),f341(f341(f257(a1,a1),x86512),x86513))) % 197.39/197.43 [8923]P1(f341(f341(x89231,x89232),x89233))+P1(f341(f329(f888(a881,a881),a226),f341(f341(f257(a881,a881),f358(x89231,x89233,x89232)),f359(x89231,x89233,x89232))))+~P1(f341(f329(f888(a881,a881),a226),f341(f341(f257(a881,a881),x89232),x89233))) % 197.39/197.43 [8924]P1(f341(f341(x89241,x89242),x89243))+P1(f341(f329(f888(a1,a1),a64),f341(f341(f257(a1,a1),f871(x89241,x89243,x89242)),f353(x89241,x89243,x89242))))+~P1(f341(f329(f888(a1,a1),a64),f341(f341(f257(a1,a1),x89242),x89243))) % 197.39/197.43 [8925]P1(f341(f341(x89251,x89252),x89253))+P1(f341(f329(f888(a1,a1),a69),f341(f341(f257(a1,a1),f354(x89251,x89253,x89252)),f355(x89251,x89253,x89252))))+~P1(f341(f329(f888(a1,a1),a69),f341(f341(f257(a1,a1),x89252),x89253))) % 197.39/197.43 [8926]P1(f341(f341(x89261,x89262),x89263))+P1(f341(f329(f888(a1,a1),a228),f341(f341(f257(a1,a1),f356(x89261,x89263,x89262)),f357(x89261,x89263,x89262))))+~P1(f341(f329(f888(a1,a1),a228),f341(f341(f257(a1,a1),x89262),x89263))) % 197.39/197.43 [8927]P1(f341(f341(x89271,x89272),x89273))+P1(f341(f329(f888(a1,a1),a185),f341(f341(f257(a1,a1),f530(x89271,x89273,x89272)),f533(x89271,x89273,x89272))))+~P1(f341(f329(f888(a1,a1),a185),f341(f341(f257(a1,a1),x89272),x89273))) % 197.39/197.43 [9257]~P1(f341(f72(x92571),x92573))+P1(f341(f341(f344(f888(f889(x92571,a874),f889(x92571,a874))),f341(f341(f257(f889(x92571,a874),f889(x92571,a874)),x92572),x92573)),f314(x92571)))+~P1(f341(f341(f242(f889(x92571,a874)),x92572),x92573)) % 197.39/197.43 [9522]P46(x95221,x95222,x95223)+P1(f341(f341(f344(f888(x95221,x95221)),f383(x95223,x95222,x95221)),x95223))+~P1(f341(f341(f344(f888(x95221,x95221)),f341(f341(f257(x95221,x95221),f382(x95223,x95222,x95221)),f382(x95223,x95222,x95221))),x95223)) % 197.39/197.43 [10135]P46(x101351,x101352,x101353)+~P1(f341(f341(f262(x101351,x101351,a874),f341(f341(f9(x101351,f889(x101351,a874),f889(x101351,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x101351,a874),f889(x101351,a874)),x101351),f10(a874,a874,x101351)),f341(f341(f10(a874,f889(a874,a874),x101351),a339),f341(f341(f9(x101351,f889(x101351,a874),a874),f344(x101351)),x101352)))),f341(f341(f9(x101351,f889(x101351,a874),a874),f344(x101351)),x101352))),f383(x101353,x101352,x101351)))+~P1(f341(f341(f344(f888(x101351,x101351)),f341(f341(f257(x101351,x101351),f382(x101353,x101352,x101351)),f382(x101353,x101352,x101351))),x101353)) % 197.39/197.43 [5615]~P59(x56152)+E(x56151,f2(x56152))+E(f341(f341(f38(x56152),f341(f341(f92(x56152),x56153),x56151)),x56151),x56153) % 197.39/197.43 [5616]~P59(x56162)+E(x56161,f2(x56162))+E(f341(f341(f38(x56162),f341(f341(f92(x56162),x56161),x56163)),x56161),x56163) % 197.39/197.43 [6265]~P59(x62651)+E(f341(f341(f92(x62651),f341(f341(f38(x62651),x62652),x62653)),x62653),x62652)+~P1(f341(f341(f294(x62651),x62653),x62652)) % 197.39/197.43 [6441]~P70(x64411)+~E(f341(x64412,f2(a881)),f2(x64411))+E(f341(f341(f8(a881,x64411),x64412),f341(f309(a881,f341(a128,f2(a881))),x64413)),f341(f341(f8(a881,x64411),x64412),f341(f309(a881,f2(a881)),x64413))) % 197.39/197.43 [6579]~P59(x65792)+E(x65791,f2(x65792))+E(f341(f341(f38(x65792),f341(f341(f91(x65792),x65793),x65791)),x65791),f341(f341(f91(x65792),f341(f341(f38(x65792),x65793),x65791)),f89(x65792))) % 197.39/197.43 [6580]~P59(x65802)+E(x65801,f2(x65802))+E(f341(f341(f38(x65802),f341(f341(f91(x65802),x65801),x65803)),x65801),f341(f341(f91(x65802),f341(f341(f38(x65802),x65803),x65801)),f89(x65802))) % 197.39/197.43 [6804]~P1(f341(x68043,f2(a1)))+P1(f341(f341(f241(a881),x68041),x68042))+P1(f341(x68043,f341(f116(a1),f341(f341(f3(a881),x68042),x68041)))) % 197.39/197.43 [6915]P1(f341(f341(f241(a881),x69152),x69151))+P1(f341(f341(f242(a881),x69151),x69152))+P1(f341(x69153,f341(f116(a1),f341(f341(f3(a881),x69151),x69152)))) % 197.39/197.43 [6991]E(f341(f341(f91(a881),f341(f118(a881),x69911)),f341(f341(f91(a881),f341(f118(a881),x69912)),x69913)),f341(f341(f91(a881),f341(f118(a881),x69911)),x69913))+P1(f341(a198,f341(f118(a1),x69911)))+~P1(f341(a198,f341(f118(a1),x69912))) % 197.39/197.43 [7070]~E(x70702,f341(f341(f38(a881),x70703),x70701))+~P1(f341(f341(f242(a881),f2(a881)),x70701))+P1(f341(f341(f241(a881),f341(f341(f92(a881),x70701),x70702)),x70703)) % 197.39/197.43 [7189]~P1(f341(f72(x71891),x71893))+~P1(f341(f72(x71891),x71892))+P1(f341(f72(x71891),f341(f341(f125(f889(x71891,a874)),x71892),x71893))) % 197.39/197.43 [7467]~P101(x74671)+~P1(f341(f72(x74671),x74672))+E(f144(x74671,f341(f341(f3(f889(x74671,a874)),x74672),f341(f341(f318(x74671),x74673),f193(f889(x74671,a874))))),f174(x74671,x74673,f144(x74671,x74672))) % 197.39/197.43 [7535]P1(f341(x75351,f2(a1)))+~P1(f341(f341(f242(a881),x75352),x75353))+~P1(f341(x75351,f341(f116(a1),f341(f341(f3(a881),x75352),x75353)))) % 197.39/197.43 [7552]~P1(f341(f72(x75521),x75522))+E(f341(f37(x75521),f341(f341(f3(f889(x75521,a874)),x75522),f341(f341(f318(x75521),x75523),f193(f889(x75521,a874))))),f341(f37(x75521),x75522))+P1(f341(f341(f344(x75521),x75523),x75522)) % 197.39/197.43 [7683]~P121(x76831)+~P1(f341(f341(f242(x76831),f89(x76831)),x76832))+P1(f341(f341(f242(x76831),f89(x76831)),f341(f341(f92(x76831),x76832),f341(f341(f251(x76831),x76832),x76833)))) % 197.39/197.43 [7728]~P1(f341(f72(x77281),x77283))+E(f341(f341(f3(a881),f341(f37(x77281),x77282)),f341(f37(x77281),x77283)),f341(f37(x77281),f341(f341(f3(f889(x77281,a874)),x77282),x77283)))+~P1(f341(f341(f241(f889(x77281,a874)),x77283),x77282)) % 197.39/197.43 [7782]~P1(f341(f341(f241(a881),x77822),x77823))+~P1(f341(f341(f241(a881),x77821),f341(f341(f3(a881),x77823),x77822)))+P1(f341(f341(f241(a881),f341(f341(f91(a881),x77821),x77822)),x77823)) % 197.39/197.43 [7832]P1(f341(f72(x78321),x78322))+~P1(f341(f72(x78321),x78323))+~P1(f341(f72(x78321),f341(f341(f3(f889(x78321,a874)),x78322),x78323))) % 197.39/197.43 [7839]~P1(f341(f72(x78391),x78392))+E(f341(f37(x78391),f341(f341(f3(f889(x78391,a874)),x78392),f341(f341(f318(x78391),x78393),f193(f889(x78391,a874))))),f341(f341(f3(a881),f341(f37(x78391),x78392)),f89(a881)))+~P1(f341(f341(f344(x78391),x78393),x78392)) % 197.39/197.43 [7914]P58(x79141,x79142)+~P58(x79141,x79143)+~P1(f341(f341(f241(f889(x79141,f889(x79141,a874))),x79142),x79143)) % 197.39/197.43 [7955]~P1(f341(f341(f241(a881),x79553),x79552))+P1(f341(f341(f241(a881),x79551),f341(f341(f3(a881),x79552),x79553)))+~P1(f341(f341(f241(a881),f341(f341(f91(a881),x79551),x79553)),x79552)) % 197.39/197.43 [7973]P34(x79731,x79732)+~P34(x79731,x79733)+~P1(f341(f341(f241(f889(f888(x79731,x79731),a874)),x79732),x79733)) % 197.39/197.43 [7974]P56(x79741,x79742)+~P56(x79741,x79743)+~P1(f341(f341(f241(f889(f888(x79741,x79741),a874)),x79742),x79743)) % 197.39/197.43 [8221]~P121(x82211)+~P1(f341(f341(f242(x82211),f89(x82211)),x82212))+P1(f341(f341(f242(x82211),f341(f341(f251(x82211),x82212),x82213)),f341(f341(f92(x82211),x82212),f341(f341(f251(x82211),x82212),x82213)))) % 197.39/197.43 [8303]~P1(f341(x83031,f2(a1)))+~P1(f341(x83031,f341(f341(f3(a1),f341(f116(a1),x83032)),f341(f116(a1),x83033))))+P1(f341(x83031,f341(f116(a1),f341(f341(f3(a881),x83032),x83033)))) % 197.39/197.43 [8317]~P1(f341(f341(f241(a881),x83173),x83172))+P1(f341(x83171,f341(f341(f3(a1),f341(f116(a1),x83172)),f341(f116(a1),x83173))))+~P1(f341(x83171,f341(f116(a1),f341(f341(f3(a881),x83172),x83173)))) % 197.39/197.43 [8336]P1(f341(f341(f242(a881),x83361),x83362))+~P1(f341(x83363,f341(f341(f3(a1),f341(f116(a1),x83361)),f341(f116(a1),x83362))))+P1(f341(x83363,f341(f116(a1),f341(f341(f3(a881),x83361),x83362)))) % 197.39/197.43 [8386]~P122(x83862)+E(x83861,f2(x83862))+P1(f341(f341(f242(x83862),f2(x83862)),f341(f341(f91(x83862),f341(f341(f92(x83862),x83863),x83863)),f341(f341(f92(x83862),x83861),x83861)))) % 197.39/197.43 [8387]~P122(x83872)+E(x83871,f2(x83872))+P1(f341(f341(f242(x83872),f2(x83872)),f341(f341(f91(x83872),f341(f341(f92(x83872),x83871),x83871)),f341(f341(f92(x83872),x83873),x83873)))) % 197.39/197.43 [8500]~P1(f341(f341(f242(a881),f2(a881)),x85001))+~P1(f341(f341(f242(a1),x85002),x85003))+P1(f341(f341(f242(a1),f341(f341(f92(a1),f341(f116(a1),x85001)),x85002)),f341(f341(f92(a1),f341(f116(a1),x85001)),x85003))) % 197.39/197.43 [8562]E(f341(f341(f126(f889(x85621,a874)),x85622),f39(f889(x85621,a874),x85623)),f193(f889(x85621,a874)))+P1(f341(f341(f344(f889(x85621,a874)),x85622),x85623))+P1(f341(f341(f344(f889(x85621,a874)),f707(x85623,x85622,x85621)),f341(f341(f318(f889(x85621,a874)),x85622),x85623))) % 197.39/197.43 [8563]E(f341(f341(f126(f889(x85631,a874)),x85632),f39(f889(x85631,a874),x85633)),f193(f889(x85631,a874)))+P1(f341(f341(f344(f889(x85631,a874)),x85632),x85633))+P1(f341(f341(f344(f889(x85631,a874)),f706(x85633,x85632,x85631)),f341(f341(f318(f889(x85631,a874)),x85632),x85633))) % 197.39/197.43 [8594]E(x85941,x85942)+~E(f341(f194(f883(x85943)),x85941),f341(f194(f883(x85943)),x85942))+P1(f341(f341(f344(f888(x85943,x85943)),f523(x85943,x85941,x85942)),f341(f176(f888(x85943,x85943)),f341(f341(f184(x85943,x85943),x85942),x85941)))) % 197.39/197.43 [8831]E(f315(x88311,x88312),f315(x88311,x88313))+~P1(f341(f341(f241(f889(f888(x88311,x88311),a874)),x88313),f315(x88311,x88312)))+~P1(f341(f341(f241(f889(f888(x88311,x88311),a874)),x88312),x88313)) % 197.39/197.43 [8905]~P46(x89051,f249(f889(x89051,a874)),x89053)+P1(f341(f341(f241(f889(f888(f883(x89051),f883(x89051)),a874)),f162(x89051,x89052)),f163(x89051,x89053)))+~P1(f341(f341(f241(f889(f888(x89051,x89051),a874)),x89052),x89053)) % 197.39/197.43 [9087]P34(x90871,x90872)+~P1(f341(f341(f344(x90871),x90873),f467(x90872,x90871)))+P1(f341(f341(f344(f888(x90871,x90871)),f341(f341(f257(x90871,x90871),f474(x90872,x90871,x90873)),x90873)),x90872)) % 197.39/197.43 [9121]~P1(f341(f72(x91211),x91212))+P1(f341(f72(f889(x91211,a874)),f341(f341(f71(x91211),x91212),x91213)))+~P1(f341(f341(f241(f889(f888(x91211,x91211),a874)),x91213),f341(f341(f259(x91211,x91211),x91212),f341(f18(f889(x91211,a874),x91211),x91212)))) % 197.39/197.43 [9161]P46(x91611,x91612,x91613)+P1(f341(f341(f344(x91611),f698(x91613,x91612,x91611)),x91612))+~P1(f341(f341(f241(f889(f888(x91611,x91611),a874)),x91613),f341(f341(f259(x91611,x91611),x91612),f341(f18(f889(x91611,a874),x91611),x91612)))) % 197.39/197.43 [9162]P46(x91621,x91622,x91623)+P1(f341(f341(f344(x91621),f699(x91622,x91623,x91621)),x91622))+~P1(f341(f341(f241(f889(f888(x91621,x91621),a874)),x91623),f341(f341(f259(x91621,x91621),x91622),f341(f18(f889(x91621,a874),x91621),x91622)))) % 197.39/197.43 [9198]~P66(x91981)+~P1(f341(f341(f242(x91981),x91982),x91983))+P1(f341(f341(f242(x91981),f341(f341(f298(x91981),f341(f341(f91(x91981),x91982),x91983)),f341(f341(f91(x91981),f89(x91981)),f89(x91981)))),x91983)) % 197.39/197.43 [9226]~P65(x92261)+P1(f341(f341(f241(x92261),x92262),x92263))+~P1(f341(f341(f241(x92261),f341(f341(f92(x92261),f350(x92263,x92262,x92261)),x92262)),x92263)) % 197.39/197.43 [9354]E(f341(f194(f883(f883(x93541))),f341(f141(f883(x93541),f341(f341(f10(a881,a874,f883(x93541)),f341(f242(a881),x93542)),f194(f883(x93541)))),f182(x93541,x93543))),f341(f194(f883(x93541)),f341(f341(f169(f883(x93541)),x93543),x93542)))+~P16(a881,f341(f173(a881),f341(f341(f159(f883(x93541),a881),f194(f883(x93541))),x93543)))+~P1(f341(f341(f242(a881),x93542),f341(f194(f883(f883(x93541))),x93543))) % 197.39/197.43 [9471]~P34(x94711,x94712)+P20(x94711,f341(f341(f257(f889(f888(x94711,x94711),a874),f889(f888(x94711,x94711),a874)),x94712),x94713))+~P1(f341(f341(f241(f889(f888(x94711,x94711),a874)),f341(f341(f296(x94711,x94711,x94711),x94712),x94713)),x94712)) % 197.39/197.43 [9478]E(f341(f341(f159(f883(x94781),x94781),f341(f341(f9(f883(x94781),a881,x94781),f169(x94781)),x94782)),f341(f141(f883(x94781),f341(f341(f10(a881,a874,f883(x94781)),f341(f242(a881),x94782)),f194(f883(x94781)))),f182(x94781,x94783))),f341(f341(f169(f883(x94781)),x94783),x94782))+~P16(a881,f341(f173(a881),f341(f341(f159(f883(x94781),a881),f194(f883(x94781))),x94783)))+~P1(f341(f341(f242(a881),x94782),f341(f194(f883(f883(x94781))),x94783))) % 197.39/197.43 [9601]P46(x96011,x96012,x96013)+~P1(f341(f341(f344(f888(x96011,x96011)),f341(f341(f257(x96011,x96011),f698(x96013,x96012,x96011)),f698(x96013,x96012,x96011))),x96013))+~P1(f341(f341(f241(f889(f888(x96011,x96011),a874)),x96013),f341(f341(f259(x96011,x96011),x96012),f341(f18(f889(x96011,a874),x96011),x96012)))) % 197.39/197.43 [9602]P46(x96021,x96022,x96023)+~P1(f341(f341(f344(f888(x96021,x96021)),f341(f341(f257(x96021,x96021),f699(x96022,x96023,x96021)),f699(x96022,x96023,x96021))),x96023))+~P1(f341(f341(f241(f889(f888(x96021,x96021),a874)),x96023),f341(f341(f259(x96021,x96021),x96022),f341(f18(f889(x96021,a874),x96021),x96022)))) % 197.39/197.43 [9962]~E(x99623,f2(a881))+~E(f341(f194(f883(x99621)),f341(f341(f169(f883(x99621)),x99622),f571(x99623,x99621,x99622))),x99623)+E(f341(f341(f159(a881,f883(x99621)),f341(f341(f9(a881,f883(a881),f883(x99621)),f341(f341(f10(f889(a881,x99621),f889(f883(a881),f883(x99621)),a881),f159(a881,x99621)),f341(f9(a881,a881,x99621),f341(f341(f10(f883(x99621),f889(a881,x99621),a881),f169(x99621)),f341(f169(f883(x99621)),x99622))))),f144(a881,f341(f309(a881,f2(a881)),f341(f194(f883(f883(x99621))),x99622))))),f144(a881,f341(f309(a881,f2(a881)),x99623))),f182(x99621,x99622)) % 197.39/197.43 [9963]E(x99631,f129(f883(x99632)))+~E(f341(f194(f883(x99632)),f341(f341(f169(f883(x99632)),x99631),f571(x99633,x99632,x99631))),x99633)+E(f341(f341(f159(a881,f883(x99632)),f341(f341(f9(a881,f883(a881),f883(x99632)),f341(f341(f10(f889(a881,x99632),f889(f883(a881),f883(x99632)),a881),f159(a881,x99632)),f341(f9(a881,a881,x99632),f341(f341(f10(f883(x99632),f889(a881,x99632),a881),f169(x99632)),f341(f169(f883(x99632)),x99631))))),f144(a881,f341(f309(a881,f2(a881)),f341(f194(f883(f883(x99632))),x99631))))),f144(a881,f341(f309(a881,f2(a881)),x99633))),f182(x99632,x99631)) % 197.39/197.43 [9964]~E(x99643,f2(a881))+E(f341(f341(f159(a881,f883(x99641)),f341(f341(f9(a881,f883(a881),f883(x99641)),f341(f341(f10(f889(a881,x99641),f889(f883(a881),f883(x99641)),a881),f159(a881,x99641)),f341(f9(a881,a881,x99641),f341(f341(f10(f883(x99641),f889(a881,x99641),a881),f169(x99641)),f341(f169(f883(x99641)),x99642))))),f144(a881,f341(f309(a881,f2(a881)),f341(f194(f883(f883(x99641))),x99642))))),f144(a881,f341(f309(a881,f2(a881)),x99643))),f182(x99641,x99642))+P1(f341(f341(f242(a881),f571(x99643,x99641,x99642)),f341(f194(f883(f883(x99641))),x99642))) % 197.39/197.43 [9965]E(x99651,f129(f883(x99652)))+E(f341(f341(f159(a881,f883(x99652)),f341(f341(f9(a881,f883(a881),f883(x99652)),f341(f341(f10(f889(a881,x99652),f889(f883(a881),f883(x99652)),a881),f159(a881,x99652)),f341(f9(a881,a881,x99652),f341(f341(f10(f883(x99652),f889(a881,x99652),a881),f169(x99652)),f341(f169(f883(x99652)),x99651))))),f144(a881,f341(f309(a881,f2(a881)),f341(f194(f883(f883(x99652))),x99651))))),f144(a881,f341(f309(a881,f2(a881)),x99653))),f182(x99652,x99651))+P1(f341(f341(f242(a881),f571(x99653,x99652,x99651)),f341(f194(f883(f883(x99652))),x99651))) % 197.39/197.43 [7726]E(f341(f341(f91(a881),f341(f118(a881),x77261)),f341(f341(f91(a881),f341(f118(a881),x77262)),x77263)),f341(f341(f91(a881),f341(f118(a881),f341(f341(f91(a1),x77261),x77262))),x77263))+P1(f341(a198,f341(f118(a1),x77261)))+P1(f341(a198,f341(f118(a1),x77262))) % 197.39/197.43 [8491]~P1(f341(f72(x84911),x84912))+~P1(f341(f341(f344(x84911),x84913),x84912))+E(f341(a128,f341(f37(x84911),f341(f341(f3(f889(x84911,a874)),x84912),f341(f341(f318(x84911),x84913),f193(f889(x84911,a874)))))),f341(f37(x84911),x84912)) % 197.39/197.43 [8508]~P1(f341(f72(x85081),x85082))+~P1(f341(f341(f344(x85081),x85083),x85082))+E(f341(f341(f91(a881),f89(a881)),f341(f37(x85081),f341(f341(f3(f889(x85081,a874)),x85082),f341(f341(f318(x85081),x85083),f193(f889(x85081,a874)))))),f341(f37(x85081),x85082)) % 197.39/197.43 [8600]~P101(x86001)+~P1(f341(f72(x86001),x86003))+E(f341(f341(f154(x86001,x86001,f7(x86001)),x86002),f144(x86001,f341(f341(f3(f889(x86001,a874)),x86003),f341(f341(f318(x86001),x86002),f193(f889(x86001,a874)))))),f144(x86001,f341(f341(f318(x86001),x86002),x86003))) % 197.39/197.43 [8760]~P1(f341(f72(x87601),x87603))+~P1(f341(f72(x87601),x87602))+E(f341(f341(f91(a881),f341(f37(x87601),f341(f341(f125(f889(x87601,a874)),x87602),x87603))),f341(f37(x87601),f341(f341(f126(f889(x87601,a874)),x87602),x87603))),f341(f341(f91(a881),f341(f37(x87601),x87602)),f341(f37(x87601),x87603))) % 197.39/197.43 [9912]~P18(x99121,f889(f889(x99121,a874),a874),f341(f341(f9(x99121,f889(f888(x99121,x99121),a874),f889(f889(x99121,a874),a874)),f341(f341(f10(f889(x99121,a874),f889(f889(f888(x99121,x99121),a874),f889(f889(x99121,a874),a874)),x99121),f71(x99121)),f341(f341(f9(x99121,f889(x99121,a874),f889(x99121,a874)),f318(x99121)),f193(f889(x99121,a874))))),x99123),x99122)+~P1(f341(f72(x99121),x99122))+E(f341(f37(f889(x99121,a874)),f341(f341(f71(x99121),x99122),x99123)),f341(f37(x99121),x99122)) % 197.39/197.43 [10234]~P35(f889(x102341,a874),f889(x102341,a874),x102342)+~P1(f341(f341(f241(f889(x102341,a874)),x102343),f341(x102342,f112(f889(x102341,a874),f341(f341(f9(f889(x102341,a874),f889(x102341,a874),f889(x102341,a874)),f341(f341(f10(f889(x102341,a874),f889(f889(x102341,a874),f889(x102341,a874)),f889(x102341,a874)),f125(f889(x102341,a874))),f341(f341(f9(f889(x102341,a874),f889(x102341,a874),f889(x102341,a874)),f341(f341(f10(f889(x102341,a874),f889(f889(x102341,a874),f889(x102341,a874)),f889(x102341,a874)),f125(f889(x102341,a874))),x102342)),x102343))),f113(f889(x102341,a874),x102342))))))+P1(f341(f341(f241(f889(x102341,a874)),f112(f889(x102341,a874),f341(f341(f9(f889(x102341,a874),f889(x102341,a874),f889(x102341,a874)),f341(f341(f10(f889(x102341,a874),f889(f889(x102341,a874),f889(x102341,a874)),f889(x102341,a874)),f125(f889(x102341,a874))),f341(f341(f9(f889(x102341,a874),f889(x102341,a874),f889(x102341,a874)),f341(f341(f10(f889(x102341,a874),f889(f889(x102341,a874),f889(x102341,a874)),f889(x102341,a874)),f125(f889(x102341,a874))),x102342)),x102343))),f113(f889(x102341,a874),x102342)))),f341(x102342,f112(f889(x102341,a874),f341(f341(f9(f889(x102341,a874),f889(x102341,a874),f889(x102341,a874)),f341(f341(f10(f889(x102341,a874),f889(f889(x102341,a874),f889(x102341,a874)),f889(x102341,a874)),f125(f889(x102341,a874))),f341(f341(f9(f889(x102341,a874),f889(x102341,a874),f889(x102341,a874)),f341(f341(f10(f889(x102341,a874),f889(f889(x102341,a874),f889(x102341,a874)),f889(x102341,a874)),f125(f889(x102341,a874))),x102342)),x102343))),f113(f889(x102341,a874),x102342)))))) % 197.39/197.43 [7989]~P89(x79891)+P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x79893)))+E(f341(f341(f251(x79891),x79892),f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),x79893),x79893)),a100))),f89(x79891)) % 197.39/197.43 [9450]~P89(x94501)+~P1(f341(f341(f241(a1),f2(a1)),f341(f118(a1),x94503)))+E(f341(f341(f251(x94501),x94502),f341(f118(a881),f341(f341(f3(a1),f341(f341(f91(a1),x94503),x94503)),a100))),f341(f341(f97(x94501,x94501),f341(f341(f251(x94501),x94502),f341(f118(a881),x94503))),f341(f341(f20(x94501,x94501,x94501),f341(f341(f10(x94501,f889(x94501,x94501),x94501),f92(x94501)),f341(f92(x94501),x94502))),f7(x94501)))) % 197.39/197.43 [9819]~P1(f341(f142(x98191),x98193))+~P1(f341(f341(f344(x98191),x98192),f341(f176(x98191),x98193)))+E(f341(f341(f143(x98191),f341(f194(f883(x98191)),f180(x98191,f341(f341(f10(a874,a874,x98191),a336),f341(f341(f9(x98191,x98191,a874),a338),x98192)),f341(f173(x98191),x98193)))),f341(f173(x98191),x98193)),f341(f341(f156(x98191),x98192),f341(f173(x98191),f180(x98191,f341(f341(f10(a874,a874,x98191),a336),f341(f341(f9(x98191,x98191,a874),a338),x98192)),x98193)))) % 197.39/197.43 [9879]P1(f341(f341(f241(f889(f888(x98791,x98791),a874)),f315(x98791,x98792)),x98793))+~P1(f341(f341(f241(f889(f888(x98791,x98791),a874)),f315(x98791,f193(f889(f888(x98791,x98791),a874)))),x98793))+~P1(f341(f341(f241(f889(f888(x98791,x98791),a874)),f341(f341(f296(x98791,x98791,x98791),f341(f341(f126(f889(f888(x98791,x98791),a874)),f315(x98791,x98792)),x98793)),x98792)),x98793)) % 197.39/197.43 [9744]~P1(f341(f72(x97441),f341(f267(x97441),x97443)))+~P1(f341(f72(x97441),f341(f267(x97441),x97442)))+P1(f341(f72(x97441),f341(f267(x97441),f341(f341(f20(x97441,a874,a874),f341(f341(f10(a874,f889(a874,a874),x97441),a340),x97442)),x97443)))) % 197.39/197.43 [10048]P1(f341(f341(f241(f889(f888(x100481,x100481),a874)),f341(f341(f296(x100481,x100481,x100481),x100482),f315(x100481,x100482))),x100483))+~P1(f341(f341(f241(f889(f888(x100481,x100481),a874)),x100482),x100483))+~P1(f341(f341(f241(f889(f888(x100481,x100481),a874)),f341(f341(f296(x100481,x100481,x100481),f341(f341(f126(f889(f888(x100481,x100481),a874)),f341(f341(f296(x100481,x100481,x100481),x100482),f315(x100481,x100482))),x100483)),x100482)),x100483)) % 197.39/197.43 [9976]~P114(x99762)+E(x99761,f2(x99762))+~E(f341(f341(f91(x99762),f341(f341(f251(x99762),x99763),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x99762),x99761),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f2(x99762)) % 197.39/197.43 [9977]~P114(x99772)+E(x99771,f2(x99772))+~E(f341(f341(f91(x99772),f341(f341(f251(x99772),x99771),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x99772),x99773),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f2(x99772)) % 197.39/197.43 [9982]~P1(f341(f142(x99821),x99823))+~P1(f341(f341(f344(x99821),x99822),f341(f176(x99821),x99823)))+E(f341(f173(x99821),f341(f175(x99821),f341(f341(f143(x99821),f341(f194(f883(x99821)),f180(x99821,f341(f341(f10(a874,a874,x99821),a336),f341(f341(f9(x99821,x99821,a874),a338),x99822)),x99823))),x99823))),f180(x99821,f341(f341(f10(a874,a874,x99821),a336),f341(f341(f9(x99821,x99821,a874),a338),x99822)),f341(f173(x99821),x99823))) % 197.39/197.43 [10109]~P114(x101092)+E(x101091,f2(x101092))+P1(f341(f341(f242(x101092),f2(x101092)),f341(f341(f91(x101092),f341(f341(f251(x101092),x101093),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x101092),x101091),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))))) % 197.39/197.43 [10110]~P114(x101102)+E(x101101,f2(x101102))+P1(f341(f341(f242(x101102),f2(x101102)),f341(f341(f91(x101102),f341(f341(f251(x101102),x101101),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x101102),x101103),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))))) % 197.39/197.43 [10171]~P114(x101711)+P1(f341(f341(f241(x101711),f2(x101711)),x101712))+~P1(f341(f341(f241(x101711),f2(x101711)),f341(f341(f251(x101711),x101712),f341(a128,f341(f341(f92(a881),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),x101713))))) % 197.39/197.43 [5465]~P17(x54651,x54654,x54653)+P17(x54651,x54652,x54653)+~P17(x54651,x54652,x54654) % 197.39/197.43 [4941]~E(x49412,f102(x49413,x49411))+P1(f341(x49411,x49412))+~P1(f341(x49411,x49414)) % 197.39/197.43 [5188]E(f77(x51883,x51882,x51884),x51882)+E(x51881,f347(x51882,x51883,x51884))+~P1(f341(x51884,x51881)) % 197.39/197.43 [6501]E(f77(x65011,x65012,x65013),f96(x65011,x65013))+~E(f388(x65012,x65011,x65013,x65014),x65014)+~P1(f341(x65013,x65014)) % 197.39/197.43 [6716]~P34(x67162,x67164)+~P34(x67161,x67163)+P34(f888(x67161,x67162),f333(x67161,x67162,x67163,x67164)) % 197.39/197.43 [5127]~P10(x51274,x51271)+~E(f341(x51271,x51272),f341(x51271,x51273))+P1(f341(f341(x51271,x51272),x51273)) % 197.39/197.43 [5285]~P10(x52854,x52851)+E(f341(x52851,x52852),f341(x52851,x52853))+~P1(f341(f341(x52851,x52852),x52853)) % 197.39/197.43 [5368]~P22(x53683,x53684,x53681)+E(f341(x53681,x53682),f341(f74(x53683,x53684),x53682))+~P1(f341(f72(x53683),x53682)) % 197.39/197.43 [5369]~P12(x53693,x53694,x53691)+E(f341(x53691,x53692),f341(f74(x53693,x53694),x53692))+~P1(f341(f72(x53693),x53692)) % 197.39/197.43 [5500]~P10(x55004,x55001)+~P1(f341(f341(x55001,x55003),x55002))+P1(f341(f341(x55001,x55002),x55003)) % 197.39/197.43 [5560]E(x55601,x55602)+~E(f341(f256(x55603,x55604),x55601),f341(f256(x55603,x55604),x55602))+~E(f341(f261(x55603,x55604),x55601),f341(f261(x55603,x55604),x55602)) % 197.39/197.43 [5585]E(x55851,x55852)+~P1(f341(f60(x55853,x55854),x55852))+~P1(f341(f60(x55853,x55854),x55851)) % 197.39/197.43 [5790]~P70(x57902)+E(f238(x57901,x57902,x57903,x57904),f2(x57902))+P1(f341(f72(x57901),x57904)) % 197.39/197.43 [5833]~P10(x58333,x58332)+~P1(f341(x58331,x58334))+P1(f341(x58331,f439(x58331,x58332,x58333))) % 197.39/197.43 [5928]~P1(f341(f329(x59281,x59282),x59284))+P1(f341(f329(x59281,x59282),x59283))+~P1(f341(f341(x59282,x59283),x59284)) % 197.39/197.43 [6290]~P10(x62903,x62904)+P1(f341(x62901,x62902))+~P1(f341(x62901,f797(x62901,x62904,x62903))) % 197.39/197.43 [6905]~P10(x69053,x69054)+P1(f341(x69051,x69052))+P1(f341(f341(f344(x69053),f797(x69051,x69054,x69053)),f277(x69053,x69054))) % 197.39/197.43 [6952]~P10(x69521,x69523)+~P1(f341(x69522,x69524))+P1(f341(f341(f344(x69521),f439(x69522,x69523,x69521)),f277(x69521,x69523))) % 197.39/197.43 [7909]~P101(x79092)+~P1(f341(f142(x79091),x79094))+P1(f341(f142(x79091),f153(x79091,x79092,x79093,x79094))) % 197.39/197.43 [7953]E(f77(x79531,x79532,x79533),f96(x79531,x79533))+~P1(f341(x79533,x79534))+P1(f341(x79533,f388(x79532,x79531,x79533,x79534))) % 197.39/197.43 [8140]~P1(f341(f72(x81402),x81404))+~P1(f341(f72(x81401),x81403))+P1(f341(f72(f887(x81401,x81402)),f324(x81401,x81402,x81403,x81404))) % 197.39/197.43 [8141]~P1(f341(f142(x81412),x81414))+~P1(f341(f142(x81411),x81413))+P1(f341(f142(f888(x81411,x81412)),f70(x81411,x81412,x81413,x81414))) % 197.39/197.43 [8144]P1(f341(f341(f344(f883(x81441)),f341(f341(f137(x81441),x81442),x81443)),f166(x81441,x81444)))+~P1(f341(f341(f344(f883(x81441)),x81443),f166(x81441,x81444)))+~P1(f341(f341(f344(f883(x81441)),x81442),f166(x81441,x81444))) % 197.39/197.43 [8472]~P101(x84723)+~P1(f341(f142(x84721),f153(x84721,x84723,x84724,x84722)))+P1(f341(f142(x84721),x84722)) % 197.39/197.43 [8745]~P1(f341(f341(f344(f888(x87451,x87451)),f341(f341(f257(x87451,x87451),x87452),x87454)),f315(x87451,x87453)))+P1(f341(f341(f344(x87451),x87452),f330(x87451,x87453)))+~P1(f341(f341(f344(x87451),x87454),f330(x87451,x87453))) % 197.39/197.43 [5109]~P70(x51092)+E(f341(f341(f8(x51091,x51092),x51093),x51094),f2(x51092))+P1(f341(f72(x51091),x51094)) % 197.39/197.43 [5112]~P72(x51122)+E(f341(f341(f11(x51121,x51122),x51123),x51124),f89(x51122))+P1(f341(f72(x51121),x51124)) % 197.39/197.43 [5255]~P4(x52553)+E(x52551,x52552)+~E(f341(f341(f91(x52553),x52554),x52551),f341(f341(f91(x52553),x52554),x52552)) % 197.39/197.43 [5256]~P5(x52563)+E(x52561,x52562)+~E(f341(f341(f91(x52563),x52564),x52561),f341(f341(f91(x52563),x52564),x52562)) % 197.39/197.43 [5258]~P4(x52583)+E(x52581,x52582)+~E(f341(f341(f91(x52583),x52581),x52584),f341(f341(f91(x52583),x52582),x52584)) % 197.39/197.43 [5338]~P117(x53381)+~E(x53383,f341(f341(f92(x53381),x53382),x53384))+P1(f341(f341(f294(x53381),x53382),x53383)) % 197.39/197.43 [5363]~P8(x53633)+E(x53631,f193(f889(x53632,a874)))+E(f341(f341(f42(x53632,x53633),x53631),f341(f18(x53633,x53632),x53634)),x53634) % 197.39/197.43 [5364]~P8(x53643)+E(x53641,f193(f889(x53642,a874)))+E(f341(f341(f43(x53642,x53643),x53641),f341(f18(x53643,x53642),x53644)),x53644) % 197.39/197.43 [5575]~P105(x55753)+E(x55751,x55752)+~E(f310(x55753,x55754,x55751),f341(f341(f318(x55753),x55752),f193(f889(x55753,a874)))) % 197.39/197.43 [5576]~P105(x55763)+E(x55761,x55762)+~E(f310(x55763,x55761,x55762),f341(f341(f318(x55763),x55764),f193(f889(x55763,a874)))) % 197.39/197.43 [5887]P1(f341(x58871,x58872))+~P1(f341(f255(x58873,x58871),x58874))+~P1(f341(f341(f344(x58873),x58872),x58874)) % 197.39/197.43 [5918]E(x59181,x59182)+~P1(f341(f341(f199(x59183),x59184),x59182))+~P1(f341(f341(f199(x59183),x59184),x59181)) % 197.39/197.43 [6008]~P70(x60081)+E(f341(f341(f8(a881,x60081),x60082),f341(f309(a881,x60083),f341(a128,x60084))),f2(x60081))+~P1(f341(f341(f242(a881),x60084),x60083)) % 197.39/197.43 [6013]~P7(x60131)+~E(f57(x60131,x60132,x60133),f57(x60131,x60134,x60133))+E(f57(x60131,f341(f90(x60131),x60132),x60133),f57(x60131,f341(f90(x60131),x60134),x60133)) % 197.39/197.43 [6081]P1(f341(x60811,x60812))+~E(f341(f141(x60813,x60811),x60814),x60814)+~P1(f341(f341(f344(x60813),x60812),f341(f176(x60813),x60814))) % 197.39/197.43 [6099]~E(f341(f341(f91(a881),x60993),x60992),f341(f341(f91(a881),x60991),x60994))+~P1(f341(f341(f242(a881),x60993),x60994))+P1(f341(f341(f242(a881),x60991),x60992)) % 197.39/197.43 [6105]~P59(x61051)+E(f57(x61051,f57(x61051,x61052,x61053),x61054),f57(x61051,x61052,x61054))+~P1(f341(f341(f294(x61051),x61054),x61053)) % 197.39/197.43 [6143]~E(f341(f141(x61431,x61432),x61433),f129(x61431))+~P1(f341(x61432,x61434))+~P1(f341(f341(f344(x61431),x61434),f341(f176(x61431),x61433))) % 197.39/197.43 [6144]~E(f180(x61443,x61441,x61444),x61444)+P1(f341(x61441,x61442))+~P1(f341(f341(f344(x61443),x61442),f341(f176(x61443),x61444))) % 197.39/197.43 [6169]~E(x61694,f193(f889(x61692,a874)))+~E(x61693,f193(f889(x61691,a874)))+E(f324(x61691,x61692,x61693,x61694),f193(f889(f887(x61691,x61692),a874))) % 197.39/197.43 [6319]P1(f341(x63191,x63192))+~P1(f341(f165(x63193,x63191),x63194))+~P1(f341(f341(f344(x63193),x63192),f341(f176(x63193),x63194))) % 197.39/197.43 [6610]~P70(x66101)+E(f341(f341(f8(a881,x66101),x66102),f310(a881,x66103,f341(a128,x66104))),f2(x66101))+~P1(f341(f341(f242(a881),f341(a128,x66104)),x66103)) % 197.39/197.43 [6752]~P101(x67521)+E(f341(f341(f3(f889(x67521,a874)),f341(f309(x67521,x67522),x67523)),f341(f309(x67521,x67522),x67524)),f341(f309(x67521,x67524),x67523))+~P1(f341(f341(f241(x67521),x67522),x67524)) % 197.39/197.43 [7119]~P1(f341(f341(f344(f883(x71191)),x71194),f166(x71191,x71193)))+P1(f341(f341(f344(x71191),x71192),x71193))+~P1(f341(f341(f344(x71191),x71192),f341(f176(x71191),x71194))) % 197.39/197.43 [7126]~P34(x71261,x71262)+P1(f341(f341(f344(x71261),f468(x71262,x71261,x71263)),x71263))+~P1(f341(f341(f344(x71261),x71264),x71263)) % 197.39/197.43 [7183]~P70(x71831)+E(f341(f341(f341(f75(x71831,x71832,f91(x71831)),x71833),f2(x71831)),x71834),f341(f341(f8(x71832,x71831),x71833),x71834))+~P1(f341(f72(x71832),x71834)) % 197.39/197.43 [7185]~P72(x71851)+E(f341(f341(f341(f75(x71851,x71852,f92(x71851)),x71853),f89(x71851)),x71854),f341(f341(f11(x71852,x71851),x71853),x71854))+~P1(f341(f72(x71852),x71854)) % 197.39/197.43 [7397]~P70(x73971)+E(f341(f341(f91(x73971),f341(x73972,x73973)),f341(f341(f8(a881,x73971),x73972),f312(a881,x73973,x73974))),f341(f341(f8(a881,x73971),x73972),f310(a881,x73973,x73974)))+~P1(f341(f341(f241(a881),x73973),x73974)) % 197.39/197.43 [7448]E(f341(f37(f887(x74481,x74482)),f324(x74481,x74482,x74483,x74484)),f341(f341(f91(a881),f341(f37(x74481),x74483)),f341(f37(x74482),x74484)))+~P1(f341(f72(x74482),x74484))+~P1(f341(f72(x74481),x74483)) % 197.39/197.43 [7536]E(x75361,x75362)+P1(f341(f341(f344(x75363),x75361),f341(f176(x75363),f174(x75363,x75362,x75364))))+~P1(f341(f341(f344(x75363),x75361),f341(f176(x75363),x75364))) % 197.39/197.43 [7677]~P1(f341(f341(f241(f889(x76771,a874)),x76774),f341(x76773,x76774)))+~P1(f341(f341(f344(x76771),x76772),x76774))+P1(f341(f341(f344(x76771),x76772),f113(f889(x76771,a874),x76773))) % 197.39/197.43 [7760]~P70(x77601)+E(f341(f341(f91(x77601),f341(f341(f8(a881,x77601),x77602),f341(f309(a881,x77603),x77604))),f341(x77602,x77604)),f341(f341(f8(a881,x77601),x77602),f341(f309(a881,x77603),f341(a128,x77604))))+P1(f341(f341(f242(a881),x77604),x77603)) % 197.39/197.43 [7811]~P18(x78111,x78112,x78113,f249(f889(x78111,a874)))+~P1(f341(f72(x78112),x78114))+P1(f341(f72(x78111),f341(f320(x78111,x78112,x78113),x78114))) % 197.39/197.43 [7920]P1(f341(f341(f344(f883(x79201)),f341(f341(f156(x79201),x79202),x79203)),f166(x79201,x79204)))+~P1(f341(f341(f344(f883(x79201)),x79203),f166(x79201,x79204)))+~P1(f341(f341(f344(x79201),x79202),x79204)) % 197.39/197.43 [7952]~E(f341(f341(f317(x79523,x79521),x79524),f249(f889(x79523,a874))),f249(f889(x79521,a874)))+P1(f341(f72(x79521),x79522))+~P1(f341(f72(x79523),f341(f320(x79523,x79521,x79524),x79522))) % 197.39/197.43 [8133]~E(x81332,x81333)+P1(f341(f341(f344(f888(x81331,x81331)),f341(f341(f257(x81331,x81331),x81332),x81333)),f271(x81331,x81334)))+~P1(f341(f341(f344(x81331),x81332),x81334)) % 197.39/197.43 [8170]~P70(x81701)+E(f341(f341(f91(x81701),f341(f341(f8(a881,x81701),x81702),f310(a881,x81703,x81704))),f341(x81702,f341(a128,x81704))),f341(f341(f8(a881,x81701),x81702),f310(a881,x81703,f341(a128,x81704))))+P1(f341(f341(f242(a881),f341(a128,x81704)),x81703)) % 197.39/197.43 [8235]P1(f341(x82351,x82352))+~P1(f341(x82351,f341(f341(f169(x82353),x82354),f519(x82351,x82354,x82353))))+~P1(f341(f341(f344(x82353),x82352),f341(f176(x82353),x82354))) % 197.39/197.43 [8364]~P1(f341(f341(f344(x83641),x83642),f330(x83641,x83644)))+P1(f341(f341(f344(f883(x83641)),f341(f341(f156(x83641),x83642),x83643)),f330(f883(x83641),f162(x83641,x83644))))+~P1(f341(f341(f344(f883(x83641)),x83643),f330(f883(x83641),f162(x83641,x83644)))) % 197.39/197.43 [8378]~P18(x83782,x83783,x83784,f808(x83784,x83783,x83782,x83781))+P18(x83782,x83783,x83784,f40(f889(x83782,a874),x83781))+E(x83781,f193(f889(f889(x83782,a874),a874))) % 197.39/197.43 [8660]E(x86601,x86602)+~P1(f341(f341(f344(f888(x86603,x86603)),f341(f341(f257(x86603,x86603),x86601),x86602)),f315(x86603,x86604)))+P1(f341(f341(f344(x86603),x86601),f341(f272(x86603,x86603),x86604))) % 197.39/197.43 [8949]P18(x89492,x89493,x89494,f40(f889(x89492,a874),x89491))+E(x89491,f193(f889(f889(x89492,a874),a874)))+P1(f341(f341(f344(f889(x89492,a874)),f808(x89494,x89493,x89492,x89491)),x89491)) % 197.39/197.43 [9203]~P1(f341(f341(f294(a881),x92033),x92034))+P1(f341(f341(f294(a881),x92031),x92032))+P1(f341(f341(f242(f889(a881,a874)),f297(a881,f294(a881),x92031,x92032)),f297(a881,f294(a881),x92033,x92034))) % 197.39/197.43 [9217]~P1(f341(f341(f294(a881),x92172),x92174))+~P1(f341(f341(f294(a881),x92173),x92171))+P1(f341(f341(f241(f889(a881,a874)),f297(a881,f294(a881),x92171,x92172)),f297(a881,f294(a881),x92173,x92174))) % 197.39/197.43 [9263]P1(f341(x92631,x92632))+~P1(f341(x92631,f341(f341(f169(x92633),x92634),f538(x92632,x92631,x92634,x92633))))+~P1(f341(f341(f344(x92633),x92632),f341(f176(x92633),x92634))) % 197.39/197.43 [9284]E(x92841,x92842)+~P1(f341(f341(f344(f888(x92843,x92843)),f341(f341(f257(x92843,x92843),x92841),x92842)),f315(x92843,x92844)))+P1(f341(f341(f344(f888(x92843,x92843)),f341(f341(f257(x92843,x92843),x92841),x92842)),f341(f341(f296(x92843,x92843,x92843),x92844),f315(x92843,x92844)))) % 197.39/197.43 [9325]~E(f341(f194(f883(x93251)),x93252),f341(f194(f883(x93251)),x93253))+~P1(f341(f341(f344(f888(f883(x93251),f883(x93251))),f341(f341(f257(f883(x93251),f883(x93251)),x93252),x93253)),f152(x93251,x93254)))+P1(f341(f341(f344(f888(f883(x93251),f883(x93251))),f341(f341(f257(f883(x93251),f883(x93251)),x93252),x93253)),f150(x93251,x93254))) % 197.39/197.43 [9438]P1(f341(f341(f294(a881),x94381),x94382))+~P1(f341(f341(f294(a881),x94383),x94381))+~P1(f341(f341(f242(f889(a881,a874)),f297(a881,f294(a881),x94383,x94381)),f297(a881,f294(a881),x94384,x94382))) % 197.39/197.43 [9439]P1(f341(f341(f294(a881),x94391),x94392))+~P1(f341(f341(f294(a881),x94393),x94391))+~P1(f341(f341(f241(f889(a881,a874)),f297(a881,f294(a881),x94393,x94391)),f297(a881,f294(a881),x94394,x94392))) % 197.39/197.43 [9440]P1(f341(f341(f294(a881),x94401),x94402))+~P1(f341(f341(f294(a881),x94402),x94403))+~P1(f341(f341(f242(f889(a881,a874)),f297(a881,f294(a881),x94402,x94403)),f297(a881,f294(a881),x94401,x94404))) % 197.39/197.43 [9441]P1(f341(f341(f294(a881),x94411),x94412))+~P1(f341(f341(f294(a881),x94412),x94413))+~P1(f341(f341(f241(f889(a881,a874)),f297(a881,f294(a881),x94412,x94413)),f297(a881,f294(a881),x94411,x94414))) % 197.39/197.43 [9508]P1(f341(x95081,x95082))+~P1(f341(f341(f344(f888(f889(a881,f887(x95084,a881)),f887(x95083,a881))),x95082),f51(x95084,x95083)))+~P1(f341(x95081,f341(f47(x95083,x95084),f397(x95081,x95082,x95083,x95084)))) % 197.39/197.43 [9745]~P60(x97451)+E(f341(f341(f8(a881,x97451),f341(f341(f20(a881,x97451,x97451),f341(f341(f10(x97451,f889(x97451,x97451),a881),f3(x97451)),x97452)),f341(f341(f10(a881,x97451,a881),x97452),f341(f341(f9(a881,a881,a881),f91(a881)),f89(a881))))),f310(a881,x97453,x97454)),f2(x97451))+P1(f341(f341(f241(a881),x97453),x97454)) % 197.39/197.43 [9975]~P34(x99752,x99754)+~P18(x99752,x99751,x99753,f249(f889(x99752,a874)))+P34(x99751,f341(f341(f317(f888(x99752,x99752),f888(x99751,x99751)),f263(x99752,x99751,x99752,x99751,x99753,x99753)),x99754)) % 197.39/197.43 [10203]~E(f341(f194(f883(x102031)),x102033),f341(f194(f883(x102031)),x102032))+P1(f341(f341(f344(f888(f883(x102031),f883(x102031))),f341(f341(f257(f883(x102031),f883(x102031)),x102032),x102033)),f163(x102031,x102034)))+~P1(f341(f341(f262(x102031,x102031,a874),f341(f341(f9(x102031,f889(f888(x102031,x102031),a874),f889(x102031,a874)),f341(f341(f10(f889(x102031,f889(f889(f888(x102031,x102031),a874),a874)),f889(f889(f888(x102031,x102031),a874),f889(x102031,a874)),x102031),f9(x102031,f889(f888(x102031,x102031),a874),a874)),f341(f341(f10(f889(x102031,f888(x102031,x102031)),f889(x102031,f889(f889(f888(x102031,x102031),a874),a874)),x102031),f341(f10(f888(x102031,x102031),f889(f889(f888(x102031,x102031),a874),a874),x102031),f344(f888(x102031,x102031)))),f257(x102031,x102031)))),x102034)),f520(x102034,x102033,x102032,x102031))) % 197.39/197.43 [5972]~E(x59724,x59722)+P1(f341(x59721,x59722))+P1(f341(f341(f199(f32(x59721,x59723)),x59722),x59724)) % 197.39/197.43 [6064]~P59(x60641)+~E(x60642,f2(x60641))+E(f341(f341(f38(x60641),f341(f341(f92(x60641),x60642),x60643)),f341(f341(f92(x60641),x60642),x60644)),f2(x60641)) % 197.39/197.43 [6102]E(x61021,f129(x61022))+E(x61023,f341(f341(f3(a881),f341(f194(f883(x61022)),x61021)),f89(a881)))+E(f149(x61022,f341(f341(f164(x61022,x61021),x61023),x61024)),f149(x61022,x61021)) % 197.39/197.43 [6133]E(x61331,x61332)+P1(f341(x61333,x61332))+~P1(f341(f341(f341(f318(x61334),x61331),x61333),x61332)) % 197.39/197.43 [6148]~P70(x61481)+~P1(f341(f142(x61482),x61484))+E(f341(f170(x61481),f341(f341(f159(x61482,x61481),x61483),x61484)),f341(f341(f8(x61482,x61481),x61483),f341(f176(x61482),x61484))) % 197.39/197.43 [6162]~P72(x61622)+~P1(f341(f72(x61621),x61624))+E(f341(f341(f11(x61621,x61622),f341(f18(x61622,x61621),x61623)),x61624),f341(f341(f251(x61622),x61623),f341(f37(x61621),x61624))) % 197.39/197.43 [6216]~P59(x62162)+E(x62161,f2(x62162))+E(f341(f341(f38(x62162),f341(f341(f92(x62162),x62163),x62161)),f341(f341(f92(x62162),x62164),x62161)),f341(f341(f38(x62162),x62163),x62164)) % 197.39/197.43 [6218]~P63(x62182)+E(x62181,f2(x62182))+E(f341(f341(f298(x62182),f341(f341(f92(x62182),x62183),x62181)),f341(f341(f92(x62182),x62184),x62181)),f341(f341(f298(x62182),x62183),x62184)) % 197.39/197.43 [6219]~P63(x62192)+E(x62191,f2(x62192))+E(f341(f341(f298(x62192),f341(f341(f92(x62192),x62191),x62193)),f341(f341(f92(x62192),x62191),x62194)),f341(f341(f298(x62192),x62193),x62194)) % 197.39/197.43 [6220]~P59(x62202)+E(x62201,f2(x62202))+E(f341(f341(f38(x62202),f341(f341(f92(x62202),x62201),x62203)),f341(f341(f92(x62202),x62201),x62204)),f341(f341(f38(x62202),x62203),x62204)) % 197.39/197.43 [6287]P1(f341(x62871,x62872))+~E(x62873,f341(f341(f91(a881),x62874),x62872))+~P1(f341(x62871,f341(f341(f3(a881),x62873),x62874))) % 197.39/197.43 [6378]P28(x63781,x63782,x63783)+P27(x63781,f757(x63783,x63782,x63781),x63784)+~P1(f341(f341(f344(f880(x63781)),x63784),x63782)) % 197.39/197.43 [6382]~P1(f341(x63822,x63823))+~P1(f341(f165(x63821,x63822),x63824))+P1(f341(f165(x63821,x63822),f341(f341(f156(x63821),x63823),x63824))) % 197.39/197.43 [6424]E(x64241,f129(x64242))+~E(x64243,f341(f341(f3(a881),f341(f194(f883(x64242)),x64241)),f89(a881)))+E(f149(x64242,f341(f341(f164(x64242,x64241),x64243),x64244)),x64244) % 197.39/197.43 [6448]~P101(x64481)+~P1(f341(f341(f242(x64481),x64482),x64484))+P1(f341(f341(f242(x64481),x64482),f341(f341(f192(x64481),x64483),x64484))) % 197.39/197.43 [6450]~P101(x64501)+~P1(f341(f341(f242(x64501),x64502),x64503))+P1(f341(f341(f242(x64501),x64502),f341(f341(f192(x64501),x64503),x64504))) % 197.39/197.43 [6451]~P94(x64511)+~P1(f341(f341(f242(x64511),x64512),x64514))+P1(f341(f341(f242(x64511),x64512),f341(f341(f125(x64511),x64513),x64514))) % 197.39/197.43 [6452]~P94(x64521)+~P1(f341(f341(f242(x64521),x64522),x64523))+P1(f341(f341(f242(x64521),x64522),f341(f341(f125(x64521),x64523),x64524))) % 197.39/197.43 [6454]~P101(x64541)+~P1(f341(f341(f241(x64541),x64542),x64544))+P1(f341(f341(f241(x64541),x64542),f341(f341(f192(x64541),x64543),x64544))) % 197.39/197.43 [6456]~P101(x64561)+~P1(f341(f341(f241(x64561),x64562),x64563))+P1(f341(f341(f241(x64561),x64562),f341(f341(f192(x64561),x64563),x64564))) % 197.39/197.43 [6457]~P94(x64571)+~P1(f341(f341(f241(x64571),x64572),x64574))+P1(f341(f341(f241(x64571),x64572),f341(f341(f125(x64571),x64573),x64574))) % 197.39/197.43 [6458]~P94(x64581)+~P1(f341(f341(f241(x64581),x64582),x64583))+P1(f341(f341(f241(x64581),x64582),f341(f341(f125(x64581),x64583),x64584))) % 197.39/197.43 [6459]~P108(x64591)+~P1(f341(f341(f294(x64591),x64592),x64594))+P1(f341(f341(f294(x64591),x64592),f341(f341(f92(x64591),x64593),x64594))) % 197.39/197.43 [6460]~P108(x64601)+~P1(f341(f341(f294(x64601),x64602),x64603))+P1(f341(f341(f294(x64601),x64602),f341(f341(f92(x64601),x64603),x64604))) % 197.39/197.43 [6550]~E(f341(f341(f169(x65501),x65502),x65503),x65504)+E(f341(f341(f164(x65501,x65502),x65503),x65504),x65502)+~P1(f341(f341(f242(a881),x65503),f341(f194(f883(x65501)),x65502))) % 197.39/197.43 [6569]E(x65691,x65692)+P1(f341(x65693,x65691))+~P1(f341(f341(f199(f32(x65693,x65694)),x65691),x65692)) % 197.39/197.43 [6593]P1(f341(x65931,x65932))+~P1(f341(x65933,x65932))+~P1(f341(f341(f241(f889(x65934,a874)),x65933),x65931)) % 197.39/197.43 [6629]~E(f341(f341(f164(x66291,x66292),x66293),x66294),x66292)+E(f341(f341(f169(x66291),x66292),x66293),x66294)+~P1(f341(f341(f242(a881),x66293),f341(f194(f883(x66291)),x66292))) % 197.39/197.43 [6646]~P1(f341(f165(x66461,x66462),x66464))+~P1(f341(f165(x66461,x66462),x66463))+P1(f341(f165(x66461,x66462),f341(f341(f137(x66461),x66463),x66464))) % 197.39/197.43 [6749]E(x67491,f193(f889(x67492,a874)))+E(x67493,f193(f889(x67494,a874)))+~E(f341(f341(f259(x67494,x67492),x67493),f341(f18(f889(x67492,a874),x67494),x67491)),f193(f889(f888(x67494,x67492),a874))) % 197.39/197.43 [6767]E(x67671,x67672)+P1(f341(f341(f344(x67673),x67671),x67674))+~P1(f341(f341(f344(x67673),x67671),f341(f341(f318(x67673),x67672),x67674))) % 197.39/197.43 [6785]~P101(x67851)+P1(f341(f341(f242(x67851),x67852),x67853))+~P1(f341(f341(f242(x67851),x67852),f341(f341(f246(x67851),x67854),x67853))) % 197.39/197.43 [6786]~P101(x67861)+P1(f341(f341(f242(x67861),x67862),x67863))+~P1(f341(f341(f242(x67861),x67862),f341(f341(f246(x67861),x67863),x67864))) % 197.39/197.43 [6788]~P101(x67881)+P1(f341(f341(f241(x67881),x67882),x67883))+~P1(f341(f341(f241(x67881),x67882),f341(f341(f246(x67881),x67884),x67883))) % 197.39/197.43 [6790]~P101(x67901)+P1(f341(f341(f241(x67901),x67902),x67903))+~P1(f341(f341(f241(x67901),x67902),f341(f341(f246(x67901),x67903),x67904))) % 197.39/197.43 [6792]~P100(x67921)+P1(f341(f341(f241(x67921),x67922),x67923))+~P1(f341(f341(f241(x67921),x67922),f341(f341(f126(x67921),x67924),x67923))) % 197.39/197.43 [6794]~P100(x67941)+P1(f341(f341(f241(x67941),x67942),x67943))+~P1(f341(f341(f241(x67941),x67942),f341(f341(f126(x67941),x67943),x67944))) % 197.39/197.43 [6815]~E(f341(f341(f169(x68151),x68153),x68154),x68152)+P1(f341(f341(f344(x68151),x68152),f341(f176(x68151),x68153)))+~P1(f341(f341(f242(a881),x68154),f341(f194(f883(x68151)),x68153))) % 197.39/197.43 [6824]~P101(x68241)+~P16(x68241,f341(f341(f156(x68241),x68242),f341(f341(f156(x68241),x68243),x68244)))+P1(f341(f341(f241(x68241),x68242),x68243)) % 197.39/197.43 [6977]P18(x69771,x69772,x69773,x69774)+~E(f341(f37(x69772),f341(f341(f317(x69771,x69772),x69773),x69774)),f341(f37(x69771),x69774))+~P1(f341(f72(x69771),x69774)) % 197.39/197.43 [6999]E(x69991,f2(a1))+E(f341(f341(f38(a1),x69992),x69991),x69993)+~P1(f341(f61(x69992,x69991),f341(f341(f257(a1,a1),x69993),x69994))) % 197.39/197.43 [7021]E(f57(a1,x70212,x70211),x70213)+E(x70211,f2(a1))+~P1(f341(f61(x70212,x70211),f341(f341(f257(a1,a1),x70214),x70213))) % 197.39/197.43 [7140]P1(f341(f341(f344(x71401),x71402),x71403))+~P1(f341(f341(f344(x71401),x71402),x71404))+~P1(f341(f341(f242(f889(x71401,a874)),x71404),x71403)) % 197.39/197.43 [7144]P1(f341(f341(f344(x71441),x71442),x71443))+~P1(f341(f341(f344(x71441),x71442),x71444))+~P1(f341(f341(f241(f889(x71441,a874)),x71444),x71443)) % 197.39/197.43 [7155]~P116(x71551)+~E(x71553,f2(x71551))+P1(f341(f341(f294(x71551),f341(f341(f92(x71551),x71552),x71553)),f341(f341(f92(x71551),x71554),x71553))) % 197.39/197.43 [7156]~P116(x71561)+~E(x71562,f2(x71561))+P1(f341(f341(f294(x71561),f341(f341(f92(x71561),x71562),x71563)),f341(f341(f92(x71561),x71562),x71564))) % 197.39/197.43 [7255]~P70(x72551)+~P18(x72552,x72551,x72553,x72554)+E(f341(f341(f8(x72551,x72551),f34(x72551)),f341(f341(f317(x72552,x72551),x72553),x72554)),f341(f341(f8(x72552,x72551),x72553),x72554)) % 197.39/197.43 [7256]~P72(x72561)+~P18(x72562,x72561,x72563,x72564)+E(f341(f341(f11(x72561,x72561),f34(x72561)),f341(f341(f317(x72562,x72561),x72563),x72564)),f341(f341(f11(x72562,x72561),x72563),x72564)) % 197.39/197.43 [7364]~P106(x73642)+~P1(f341(f341(f242(f889(x73641,x73642)),x73643),x73644))+P1(f341(f341(f241(f889(x73641,x73642)),x73643),x73644)) % 197.39/197.43 [7438]~P17(x74381,x74382,x74384)+P17(x74381,x74382,f341(f341(f318(f880(x74381)),x74383),x74384))+~P17(x74381,x74382,f341(f341(f318(f880(x74381)),x74383),f193(f889(f880(x74381),a874)))) % 197.39/197.43 [7479]~P1(f341(f341(f344(x74791),x74792),x74794))+P1(f341(f341(f344(x74791),x74792),f39(f889(x74791,a874),x74793)))+~P1(f341(f341(f344(f889(x74791,a874)),x74794),x74793)) % 197.39/197.43 [7481]~P108(x74811)+~P1(f341(f341(f241(a881),x74813),x74814))+P1(f341(f341(f294(x74811),f341(f341(f251(x74811),x74812),x74813)),f341(f341(f251(x74811),x74812),x74814))) % 197.39/197.43 [7513]~P78(x75131)+~P1(f341(f341(f242(x75131),x75133),x75134))+P1(f341(f341(f242(x75131),f341(f341(f91(x75131),x75132),x75133)),f341(f341(f91(x75131),x75132),x75134))) % 197.39/197.43 [7514]~P82(x75141)+~P1(f341(f341(f242(x75141),x75143),x75144))+P1(f341(f341(f242(x75141),f341(f341(f91(x75141),x75142),x75143)),f341(f341(f91(x75141),x75142),x75144))) % 197.39/197.43 [7515]~P78(x75151)+~P1(f341(f341(f242(x75151),x75152),x75154))+P1(f341(f341(f242(x75151),f341(f341(f91(x75151),x75152),x75153)),f341(f341(f91(x75151),x75154),x75153))) % 197.39/197.43 [7516]~P82(x75161)+~P1(f341(f341(f242(x75161),x75162),x75164))+P1(f341(f341(f242(x75161),f341(f341(f91(x75161),x75162),x75163)),f341(f341(f91(x75161),x75164),x75163))) % 197.39/197.43 [7517]~P78(x75171)+~P1(f341(f341(f241(x75171),x75173),x75174))+P1(f341(f341(f241(x75171),f341(f341(f91(x75171),x75172),x75173)),f341(f341(f91(x75171),x75172),x75174))) % 197.39/197.43 [7518]~P79(x75181)+~P1(f341(f341(f241(x75181),x75183),x75184))+P1(f341(f341(f241(x75181),f341(f341(f91(x75181),x75182),x75183)),f341(f341(f91(x75181),x75182),x75184))) % 197.39/197.43 [7519]~P78(x75191)+~P1(f341(f341(f241(x75191),x75192),x75194))+P1(f341(f341(f241(x75191),f341(f341(f91(x75191),x75192),x75193)),f341(f341(f91(x75191),x75194),x75193))) % 197.39/197.43 [7520]~P79(x75201)+~P1(f341(f341(f241(x75201),x75202),x75204))+P1(f341(f341(f241(x75201),f341(f341(f91(x75201),x75202),x75203)),f341(f341(f91(x75201),x75204),x75203))) % 197.39/197.43 [7521]~P116(x75211)+~P1(f341(f341(f294(x75211),x75213),x75214))+P1(f341(f341(f294(x75211),f341(f341(f92(x75211),x75212),x75213)),f341(f341(f92(x75211),x75212),x75214))) % 197.39/197.43 [7522]~P116(x75221)+~P1(f341(f341(f294(x75221),x75222),x75224))+P1(f341(f341(f294(x75221),f341(f341(f92(x75221),x75222),x75223)),f341(f341(f92(x75221),x75224),x75223))) % 197.39/197.43 [7523]~P108(x75231)+~P1(f341(f341(f294(x75231),x75232),x75234))+P1(f341(f341(f294(x75231),f341(f341(f251(x75231),x75232),x75233)),f341(f341(f251(x75231),x75234),x75233))) % 197.39/197.43 [7530]~P138(x75301)+~P90(x75301)+E(f341(f341(f91(x75301),f341(f341(f92(x75301),x75302),f341(f118(x75301),x75303))),f341(f341(f92(x75301),x75304),f341(f118(x75301),x75303))),f341(f341(f92(x75301),f341(f341(f91(x75301),x75302),x75304)),f341(f118(x75301),x75303))) % 197.39/197.43 [7531]~P135(x75311)+~P90(x75311)+E(f341(f341(f3(x75311),f341(f341(f92(x75311),x75312),f341(f118(x75311),x75313))),f341(f341(f92(x75311),x75314),f341(f118(x75311),x75313))),f341(f341(f92(x75311),f341(f341(f3(x75311),x75312),x75314)),f341(f118(x75311),x75313))) % 197.39/197.43 [7567]~P70(x75671)+E(f341(f341(f91(x75671),f341(x75672,x75673)),f341(f341(f8(a881,x75671),x75672),f310(a881,f341(a128,x75673),x75674))),f341(f341(f8(a881,x75671),x75672),f310(a881,x75673,x75674)))+~P1(f341(f341(f241(a881),x75673),x75674)) % 197.39/197.43 [7577]~P18(x75772,x75771,x75773,f341(f176(x75772),x75774))+~P1(f341(f142(x75772),x75774))+P1(f341(f142(x75771),f341(f341(f159(x75772,x75771),x75773),x75774))) % 197.39/197.43 [7625]~P1(f341(f341(f242(a881),x76252),x76254))+~P1(f341(f341(f242(a881),x76251),x76253))+P1(f341(f341(f242(a881),f341(f341(f91(a881),x76251),x76252)),f341(f341(f91(a881),x76253),x76254))) % 197.39/197.43 [7628]~P1(f341(f341(f242(a1),x76281),x76283))+~P1(f341(f341(f241(a1),x76282),x76284))+P1(f341(f341(f242(a1),f341(f341(f91(a1),x76281),x76282)),f341(f341(f91(a1),x76283),x76284))) % 197.39/197.43 [7629]~P1(f341(f341(f241(a881),x76292),x76294))+~P1(f341(f341(f241(a881),x76291),x76293))+P1(f341(f341(f241(a881),f341(f341(f91(a881),x76291),x76292)),f341(f341(f91(a881),x76293),x76294))) % 197.39/197.43 [7630]~P1(f341(f341(f241(a881),x76302),x76304))+~P1(f341(f341(f241(a881),x76301),x76303))+P1(f341(f341(f241(a881),f341(f341(f92(a881),x76301),x76302)),f341(f341(f92(a881),x76303),x76304))) % 197.39/197.43 [7679]P1(f341(f341(f344(x76791),x76792),x76793))+~P1(f341(f341(f344(x76791),x76792),f40(f889(x76791,a874),x76794)))+~P1(f341(f341(f344(f889(x76791,a874)),x76793),x76794)) % 197.39/197.43 [7693]~P1(f341(x76931,f517(x76931,x76933,x76932)))+P1(f341(x76931,f341(f341(f169(x76932),x76933),x76934)))+~P1(f341(f341(f242(a881),x76934),f341(f194(f883(x76932)),x76933))) % 197.39/197.43 [7699]P1(f341(x76991,x76992))+~P1(f341(f341(f344(x76994),x76992),f341(f176(x76994),x76993)))+P1(f341(f341(f242(a881),f519(x76991,x76993,x76994)),f341(f194(f883(x76994)),x76993))) % 197.39/197.43 [7718]~P1(f341(f341(f199(x77182),x77183),x77184))+~P1(f341(f341(f199(f32(x77181,x77182)),x77184),x77183))+P1(f341(f341(f199(f32(x77181,x77182)),x77183),x77183)) % 197.39/197.43 [7746]~P106(x77461)+~P1(f341(f341(f241(f889(x77462,x77461)),x77464),x77463))+~P1(f341(f341(f242(f889(x77462,x77461)),x77463),x77464)) % 197.39/197.43 [7789]~P1(f341(x77894,x77892))+~P1(f341(f341(f344(x77891),x77892),x77893))+P1(f341(f341(f344(x77891),x77892),f341(f341(f126(f889(x77891,a874)),x77893),f341(f267(x77891),x77894)))) % 197.39/197.43 [7828]~P18(x78281,x78283,x78284,x78282)+P1(f341(f72(x78281),x78282))+~P1(f341(f72(x78283),f341(f341(f317(x78281,x78283),x78284),x78282))) % 197.39/197.43 [7928]~P1(f341(f341(f344(x79281),x79283),x79284))+~P1(f341(f341(f242(f889(x79281,a874)),x79282),x79284))+P1(f341(f341(f242(f889(x79281,a874)),x79282),f341(f341(f318(x79281),x79283),x79284))) % 197.39/197.43 [7931]E(f341(f341(f126(f889(x79311,a874)),x79312),x79313),f193(f889(x79311,a874)))+~E(f341(f341(f126(f889(x79311,a874)),f39(f889(x79311,a874),x79314)),x79313),f193(f889(x79311,a874)))+~P1(f341(f341(f344(f889(x79311,a874)),x79312),x79314)) % 197.39/197.43 [8009]P1(f341(f341(f344(x80091),x80092),x80093))+~P1(f341(f341(f241(f889(x80091,a874)),x80093),f341(f341(f318(x80091),x80092),x80094)))+P1(f341(f341(f241(f889(x80091,a874)),x80093),x80094)) % 197.39/197.43 [8031]P1(f341(f341(f344(x80312),f517(x80311,x80313,x80312)),f341(f176(x80312),x80313)))+P1(f341(x80311,f341(f341(f169(x80312),x80313),x80314)))+~P1(f341(f341(f242(a881),x80314),f341(f194(f883(x80312)),x80313))) % 197.39/197.43 [8038]~P1(f341(f341(f242(f889(x80381,a874)),x80382),x80384))+P1(f341(f341(f242(f889(x80381,a874)),x80382),x80383))+~P1(f341(f341(f242(f889(x80381,a874)),x80384),x80383)) % 197.39/197.43 [8039]~P1(f341(f341(f241(f889(x80391,a874)),x80392),x80394))+P1(f341(f341(f242(f889(x80391,a874)),x80392),x80393))+~P1(f341(f341(f242(f889(x80391,a874)),x80394),x80393)) % 197.39/197.43 [8040]~P1(f341(f341(f241(f889(x80401,a874)),x80404),x80403))+~P1(f341(f341(f242(f889(x80401,a874)),x80402),x80404))+P1(f341(f341(f242(f889(x80401,a874)),x80402),x80403)) % 197.39/197.43 [8041]~P1(f341(f341(f241(f889(x80411,a874)),x80412),x80414))+P1(f341(f341(f241(f889(x80411,a874)),x80412),x80413))+~P1(f341(f341(f241(f889(x80411,a874)),x80414),x80413)) % 197.39/197.43 [8083]~P1(f341(f341(f344(x80831),x80834),x80833))+~P1(f341(f341(f242(f889(x80831,a874)),x80832),f341(f341(f318(x80831),x80834),x80833)))+P1(f341(f341(f242(f889(x80831,a874)),x80832),x80833)) % 197.39/197.43 [8095]~P78(x80951)+P1(f341(f341(f242(x80951),x80952),x80953))+~P1(f341(f341(f242(x80951),f341(f341(f91(x80951),x80954),x80952)),f341(f341(f91(x80951),x80954),x80953))) % 197.39/197.43 [8097]~P78(x80971)+P1(f341(f341(f242(x80971),x80972),x80973))+~P1(f341(f341(f242(x80971),f341(f341(f91(x80971),x80972),x80974)),f341(f341(f91(x80971),x80973),x80974))) % 197.39/197.43 [8099]~P78(x80991)+P1(f341(f341(f241(x80991),x80992),x80993))+~P1(f341(f341(f241(x80991),f341(f341(f91(x80991),x80994),x80992)),f341(f341(f91(x80991),x80994),x80993))) % 197.39/197.43 [8101]~P78(x81011)+P1(f341(f341(f241(x81011),x81012),x81013))+~P1(f341(f341(f241(x81011),f341(f341(f91(x81011),x81012),x81014)),f341(f341(f91(x81011),x81013),x81014))) % 197.39/197.43 [8152]P1(f341(x81521,x81522))+~E(f341(f341(f143(x81523),f341(f194(f883(x81523)),f180(x81523,x81521,x81524))),x81524),f129(x81523))+~P1(f341(f341(f344(x81523),x81522),f341(f176(x81523),x81524))) % 197.39/197.43 [8271]P1(f341(x82711,x82712))+~P1(f341(f341(f344(x82713),x82712),f341(f176(x82713),x82714)))+P1(f341(f341(f242(a881),f341(f194(f883(x82713)),f341(f141(x82713,x82711),x82714))),f341(f194(f883(x82713)),x82714))) % 197.39/197.43 [8396]E(x83961,x83962)+P1(f341(f341(f199(x83963),x83961),f518(x83962,x83961,x83963,x83964)))+~P1(f341(f341(f199(f32(x83964,x83963)),x83961),x83962)) % 197.39/197.43 [8397]E(x83971,x83972)+P1(f341(f341(f199(x83973),x83971),f536(x83972,x83971,x83973,x83974)))+~P1(f341(f341(f199(f32(x83974,x83973)),x83971),x83972)) % 197.39/197.43 [8429]~P1(f341(x84294,x84292))+P1(f341(f341(f199(x84291),x84292),f518(x84293,x84292,x84291,x84294)))+~P1(f341(f341(f199(f32(x84294,x84291)),x84292),x84293)) % 197.39/197.43 [8430]~P1(f341(x84304,x84302))+P1(f341(f341(f199(x84301),x84302),f536(x84303,x84302,x84301,x84304)))+~P1(f341(f341(f199(f32(x84304,x84301)),x84302),x84303)) % 197.39/197.43 [8693]~P18(x86934,x86933,x86931,f249(f889(x86934,a874)))+E(f341(x86931,f693(x86932,x86931,x86933,x86934)),x86932)+~P1(f341(f341(f344(x86933),x86932),f341(f341(f317(x86934,x86933),x86931),f249(f889(x86934,a874))))) % 197.39/197.43 [8857]E(f180(x88571,x88572,x88573),f341(f341(f177(x88571),x88574),x88573))+P1(f341(f341(f242(a881),f687(x88572,x88573,x88571,x88574)),x88574))+P1(f341(f341(f242(a881),x88574),f341(f194(f883(x88571)),x88573))) % 197.39/197.43 [8860]E(f180(x88601,x88602,x88603),f341(f341(f177(x88601),x88604),x88603))+P1(f341(f341(f242(a881),f687(x88602,x88603,x88601,x88604)),x88604))+P1(f341(x88602,f341(f341(f169(x88601),x88603),x88604))) % 197.39/197.43 [8897]P1(f341(x88971,x88972))+~P1(f341(f341(f344(x88974),x88972),f341(f176(x88974),x88973)))+P1(f341(f341(f242(a881),f538(x88972,x88971,x88973,x88974)),f341(f194(f883(x88974)),x88973))) % 197.39/197.43 [8900]E(f180(x89001,x89002,x89003),f341(f341(f177(x89001),x89004),x89003))+P1(f341(f341(f242(a881),x89004),f341(f194(f883(x89001)),x89003)))+P1(f341(f341(f242(a881),f687(x89002,x89003,x89001,x89004)),f341(f194(f883(x89001)),x89003))) % 197.39/197.43 [8907]E(f180(x89071,x89072,x89073),f341(f341(f177(x89071),x89074),x89073))+P1(f341(x89072,f341(f341(f169(x89071),x89073),x89074)))+P1(f341(f341(f242(a881),f687(x89072,x89073,x89071,x89074)),f341(f194(f883(x89071)),x89073))) % 197.39/197.43 [8951]~P1(f341(f72(x89511),x89514))+P1(f341(f341(f344(x89511),f702(x89512,x89513,x89514,x89511)),x89514))+P1(f341(f72(f888(x89511,x89513)),f341(f341(f259(x89511,x89513),x89514),x89512))) % 197.39/197.43 [9003]E(x90031,x90032)+P1(f341(f341(f199(f32(x90033,x90034)),f518(x90031,x90032,x90034,x90033)),x90031))+~P1(f341(f341(f199(f32(x90033,x90034)),x90032),x90031)) % 197.39/197.43 [9004]E(x90041,x90042)+P1(f341(f341(f199(f32(x90043,x90044)),f536(x90041,x90042,x90044,x90043)),x90041))+~P1(f341(f341(f199(f32(x90043,x90044)),x90042),x90041)) % 197.39/197.43 [9020]~P1(f341(x90201,x90204))+P1(f341(f341(f199(f32(x90201,x90202)),f518(x90203,x90204,x90202,x90201)),x90203))+~P1(f341(f341(f199(f32(x90201,x90202)),x90204),x90203)) % 197.39/197.43 [9021]~P1(f341(x90211,x90214))+P1(f341(f341(f199(f32(x90211,x90212)),f536(x90213,x90214,x90212,x90211)),x90213))+~P1(f341(f341(f199(f32(x90211,x90212)),x90214),x90213)) % 197.39/197.43 [9107]P1(f341(f341(f241(a881),x91074),f341(f194(f883(x91072)),f180(x91072,x91073,x91071))))+P1(f341(f341(f242(a881),f710(x91071,x91072,x91073,x91074)),x91074))+~P1(f341(f341(f241(a881),x91074),f341(f194(f883(x91072)),x91071))) % 197.39/197.43 [9266]E(f180(x92661,x92662,x92663),f341(f341(f177(x92661),x92664),x92663))+~P1(f341(x92662,f341(f341(f169(x92661),x92663),f687(x92662,x92663,x92661,x92664))))+P1(f341(f341(f242(a881),x92664),f341(f194(f883(x92661)),x92663))) % 197.39/197.43 [9274]E(f180(x92741,x92742,x92743),f341(f341(f177(x92741),x92744),x92743))+~P1(f341(x92742,f341(f341(f169(x92741),x92743),f687(x92742,x92743,x92741,x92744))))+P1(f341(x92742,f341(f341(f169(x92741),x92743),x92744))) % 197.39/197.43 [9278]~P1(f341(f72(x92781),x92783))+~P1(f341(f72(x92782),f341(x92784,f702(x92784,x92782,x92783,x92781))))+P1(f341(f72(f888(x92781,x92782)),f341(f341(f259(x92781,x92782),x92783),x92784))) % 197.39/197.43 [9289]~E(f341(f194(f883(x92894)),x92892),f341(f194(f883(x92894)),x92893))+P1(f341(f341(f344(f888(f883(x92894),f883(x92894))),f341(f341(f257(f883(x92894),f883(x92894)),x92893),x92892)),f163(x92894,x92891)))+P1(f341(f341(f242(a881),f503(x92891,x92892,x92893,x92894)),f341(f194(f883(x92894)),x92893))) % 197.39/197.43 [9337]~P1(f341(x93373,f341(f341(f169(x93372),x93374),f710(x93374,x93372,x93373,x93371))))+P1(f341(f341(f241(a881),x93371),f341(f194(f883(x93372)),f180(x93372,x93373,x93374))))+~P1(f341(f341(f241(a881),x93371),f341(f194(f883(x93372)),x93374))) % 197.39/197.43 [9413]E(f341(f341(f177(x94131),f508(x94132,x94133,x94134,x94131)),x94133),f341(f341(f177(x94131),f508(x94132,x94133,x94134,x94131)),x94134))+~P1(f341(f341(f344(f888(f883(x94131),f883(x94131))),f341(f341(f257(f883(x94131),f883(x94131)),x94134),x94133)),f152(x94131,x94132)))+P1(f341(f341(f242(a881),f341(f194(f883(x94131)),x94134)),f341(f194(f883(x94131)),x94133))) % 197.39/197.43 [9473]~P1(f341(f341(f242(a881),f2(a881)),x94733))+~P1(f341(f341(f242(a881),x94734),x94731))+P1(f341(f341(f242(a881),f341(f341(f91(a881),f341(f341(f92(a881),x94731),f57(a881,x94732,x94733))),x94734)),f341(f341(f92(a881),x94731),x94733))) % 197.39/197.43 [9653]~P106(x96532)+~P1(f341(f341(f241(x96532),f341(x96533,f835(x96534,x96533,x96531,x96532))),f341(x96534,f835(x96534,x96533,x96531,x96532))))+P1(f341(f341(f241(f889(x96531,x96532)),x96533),x96534)) % 197.39/197.43 [9747]~P60(x97471)+E(f341(f341(f8(a881,x97471),f341(f341(f20(a881,x97471,x97471),f341(f341(f10(x97471,f889(x97471,x97471),a881),f3(x97471)),x97472)),f341(f341(f10(a881,x97471,a881),x97472),f341(f341(f9(a881,a881,a881),f91(a881)),f89(a881))))),f310(a881,x97473,x97474)),f341(f341(f3(x97471),f341(x97472,x97473)),f341(x97472,f341(f341(f91(a881),x97474),f89(a881)))))+~P1(f341(f341(f241(a881),x97473),x97474)) % 197.39/197.43 [6733]~P59(x67331)+E(f341(f341(f38(x67331),f341(f341(f92(x67331),x67332),x67333)),x67334),f341(f341(f92(x67331),x67332),f341(f341(f38(x67331),x67333),x67334)))+~P1(f341(f341(f294(x67331),x67334),x67333)) % 197.39/197.43 [6818]E(f341(f341(f137(x68181),x68182),x68183),x68184)+~E(x68183,f341(f341(f143(x68181),f341(f194(f883(x68181)),x68182)),x68184))+~E(f341(f341(f177(x68181),f341(f194(f883(x68181)),x68182)),x68184),x68182) % 197.39/197.43 [6877]~P64(x68772)+E(x68771,f2(x68772))+E(f341(f341(f298(x68772),f341(f341(f251(x68772),x68773),x68774)),f341(f341(f251(x68772),x68771),x68774)),f341(f341(f251(x68772),f341(f341(f298(x68772),x68773),x68771)),x68774)) % 197.39/197.43 [7031]~P59(x70311)+E(f341(f341(f38(x70311),f341(f341(f92(x70311),x70312),x70313)),x70314),f341(f341(f92(x70311),f341(f341(f38(x70311),x70312),x70314)),x70313))+~P1(f341(f341(f294(x70311),x70314),x70312)) % 197.39/197.43 [7040]~P101(x70401)+~P1(f341(f341(f242(x70401),x70403),x70404))+P1(f341(f341(f242(x70401),f341(f341(f246(x70401),x70402),x70403)),x70404)) % 197.39/197.43 [7042]~P101(x70421)+~P1(f341(f341(f242(x70421),x70422),x70424))+P1(f341(f341(f242(x70421),f341(f341(f246(x70421),x70422),x70423)),x70424)) % 197.39/197.43 [7043]~P100(x70431)+~P1(f341(f341(f242(x70431),x70433),x70434))+P1(f341(f341(f242(x70431),f341(f341(f126(x70431),x70432),x70433)),x70434)) % 197.39/197.43 [7044]~P100(x70441)+~P1(f341(f341(f242(x70441),x70442),x70444))+P1(f341(f341(f242(x70441),f341(f341(f126(x70441),x70442),x70443)),x70444)) % 197.39/197.43 [7046]~P101(x70461)+~P1(f341(f341(f241(x70461),x70463),x70464))+P1(f341(f341(f241(x70461),f341(f341(f246(x70461),x70462),x70463)),x70464)) % 197.39/197.43 [7048]~P101(x70481)+~P1(f341(f341(f241(x70481),x70482),x70484))+P1(f341(f341(f241(x70481),f341(f341(f246(x70481),x70482),x70483)),x70484)) % 197.39/197.43 [7049]~P100(x70491)+~P1(f341(f341(f241(x70491),x70493),x70494))+P1(f341(f341(f241(x70491),f341(f341(f126(x70491),x70492),x70493)),x70494)) % 197.39/197.43 [7050]~P100(x70501)+~P1(f341(f341(f241(x70501),x70502),x70504))+P1(f341(f341(f241(x70501),f341(f341(f126(x70501),x70502),x70503)),x70504)) % 197.39/197.43 [7071]~P1(f341(x70713,x70714))+~P1(f341(x70712,x70714))+P1(f341(f341(f341(f126(f889(x70711,a874)),x70712),x70713),x70714)) % 197.39/197.43 [7198]P17(x71981,x71982,x71983)+~P17(x71981,x71982,x71984)+~P1(f341(f341(f241(f889(f880(x71981),a874)),x71983),x71984)) % 197.39/197.43 [7325]~P59(x73251)+E(f341(f341(f38(x73251),f341(f341(f251(x73251),x73252),x73253)),f341(f341(f251(x73251),x73254),x73253)),f341(f341(f251(x73251),f341(f341(f38(x73251),x73252),x73254)),x73253))+~P1(f341(f341(f294(x73251),x73254),x73252)) % 197.39/197.43 [7556]~P70(x75561)+E(f341(f341(f91(x75561),f341(x75562,x75563)),f341(f341(f8(a881,x75561),x75562),f341(f309(a881,f341(a128,x75563)),x75564))),f341(f341(f8(a881,x75561),x75562),f341(f309(a881,x75563),x75564)))+~P1(f341(f341(f242(a881),x75563),x75564)) % 197.39/197.43 [7583]~P101(x75831)+P1(f341(f341(f242(x75831),x75832),x75833))+~P1(f341(f341(f242(x75831),f341(f341(f192(x75831),x75834),x75832)),x75833)) % 197.39/197.43 [7584]~P101(x75841)+P1(f341(f341(f242(x75841),x75842),x75843))+~P1(f341(f341(f242(x75841),f341(f341(f192(x75841),x75842),x75844)),x75843)) % 197.39/197.43 [7586]~P101(x75861)+P1(f341(f341(f241(x75861),x75862),x75863))+~P1(f341(f341(f241(x75861),f341(f341(f192(x75861),x75864),x75862)),x75863)) % 197.39/197.43 [7588]~P101(x75881)+P1(f341(f341(f241(x75881),x75882),x75883))+~P1(f341(f341(f241(x75881),f341(f341(f192(x75881),x75882),x75884)),x75883)) % 197.39/197.43 [7590]~P94(x75901)+P1(f341(f341(f241(x75901),x75902),x75903))+~P1(f341(f341(f241(x75901),f341(f341(f125(x75901),x75904),x75902)),x75903)) % 197.39/197.43 [7592]~P94(x75921)+P1(f341(f341(f241(x75921),x75922),x75923))+~P1(f341(f341(f241(x75921),f341(f341(f125(x75921),x75922),x75924)),x75923)) % 197.39/197.43 [7593]~P108(x75931)+P1(f341(f341(f294(x75931),x75932),x75933))+~P1(f341(f341(f294(x75931),f341(f341(f92(x75931),x75934),x75932)),x75933)) % 197.39/197.43 [7594]~P108(x75941)+P1(f341(f341(f294(x75941),x75942),x75943))+~P1(f341(f341(f294(x75941),f341(f341(f92(x75941),x75942),x75944)),x75943)) % 197.39/197.43 [7670]~P1(f341(f341(f344(x76701),x76702),x76704))+P1(f341(f341(f344(x76701),x76702),x76703))+P1(f341(f341(f344(x76701),x76702),f341(f341(f3(f889(x76701,a874)),x76704),x76703))) % 197.39/197.43 [7752]P1(f341(x77521,x77522))+P1(f341(x77523,x77522))+~P1(f341(f341(f341(f125(f889(x77524,a874)),x77523),x77521),x77522)) % 197.39/197.43 [7763]~P1(f341(f341(f344(x77631),x77632),x77634))+~P1(f341(f341(f344(x77631),x77632),x77633))+P1(f341(f341(f344(x77631),x77632),f341(f341(f126(f889(x77631,a874)),x77633),x77634))) % 197.39/197.43 [7813]~P138(x78131)+~P90(x78131)+E(f341(f341(f91(x78131),f341(f341(f92(x78131),f341(f118(x78131),x78132)),x78133)),f341(f341(f92(x78131),f341(f118(x78131),x78132)),x78134)),f341(f341(f92(x78131),f341(f118(x78131),x78132)),f341(f341(f91(x78131),x78133),x78134))) % 197.39/197.43 [7814]~P135(x78141)+~P90(x78141)+E(f341(f341(f3(x78141),f341(f341(f92(x78141),f341(f118(x78141),x78142)),x78143)),f341(f341(f92(x78141),f341(f118(x78141),x78142)),x78144)),f341(f341(f92(x78141),f341(f118(x78141),x78142)),f341(f341(f3(x78141),x78143),x78144))) % 197.39/197.43 [7925]E(x79251,x79252)+P1(f341(f341(f344(x79253),x79251),f341(f176(x79253),x79254)))+~P1(f341(f341(f344(x79253),x79251),f341(f176(x79253),f341(f341(f156(x79253),x79252),x79254)))) % 197.39/197.43 [8106]P53(x81061,x81062,x81063)+~P53(x81061,x81062,x81064)+~P1(f341(f341(f241(f889(f888(x81061,x81062),a874)),x81063),x81064)) % 197.39/197.43 [8154]P1(f341(f341(f344(x81541),x81542),x81543))+P1(f341(f341(f344(x81541),x81542),x81544))+~P1(f341(f341(f344(x81541),x81542),f341(f341(f125(f889(x81541,a874)),x81544),x81543))) % 197.39/197.43 [8165]~P46(x81651,x81654,x81653)+~P1(f341(f341(f344(x81651),x81652),x81654))+P1(f341(f341(f344(f888(x81651,x81651)),f341(f341(f257(x81651,x81651),x81652),x81652)),x81653)) % 197.39/197.43 [8182]~P1(f341(f72(x81822),x81824))+~P1(f341(f72(x81821),x81823))+P1(f341(f72(f888(x81821,x81822)),f341(f341(f259(x81821,x81822),x81823),f341(f18(f889(x81822,a874),x81821),x81824)))) % 197.39/197.43 [8183]~P1(f341(f341(f344(x81831),x81832),x81834))+~P1(f341(f341(f241(f889(x81831,a874)),x81833),x81834))+P1(f341(f341(f241(f889(x81831,a874)),f341(f341(f318(x81831),x81832),x81833)),x81834)) % 197.39/197.43 [8190]~P2(x81902)+~P72(x81902)+E(f341(f341(f11(x81901,x81902),f341(f341(f10(a881,x81902,x81901),f116(x81902)),x81903)),x81904),f341(f116(x81902),f341(f341(f11(x81901,a881),x81903),x81904))) % 197.39/197.43 [8191]~P113(x81912)+~P72(x81912)+E(f341(f341(f11(x81911,x81912),f341(f341(f10(a1,x81912,x81911),f117(x81912)),x81913)),x81914),f341(f117(x81912),f341(f341(f11(x81911,a1),x81913),x81914))) % 197.39/197.43 [8216]E(f341(f341(f3(f889(x82161,a874)),x82162),f341(f341(f3(f889(x82161,a874)),x82163),x82164)),x82164)+~P1(f341(f341(f241(f889(x82161,a874)),x82162),x82163))+~P1(f341(f341(f241(f889(x82161,a874)),x82164),x82162)) % 197.39/197.43 [8304]~P1(f341(f72(x83041),x83044))+E(f341(f341(f3(a881),f341(f341(f8(x83041,a881),x83042),x83043)),f341(f341(f8(x83041,a881),x83042),x83044)),f341(f341(f8(x83041,a881),x83042),f341(f341(f3(f889(x83041,a874)),x83043),x83044)))+~P1(f341(f341(f241(f889(x83041,a874)),x83044),x83043)) % 197.39/197.43 [8466]~P11(x84661,x84664,x84663)+~P1(f341(f341(f344(x84661),x84662),x84664))+P1(f341(f341(f344(x84661),x84662),f341(f292(x84661,x84661,x84663),f341(f341(f318(x84661),x84662),f193(f889(x84661,a874)))))) % 197.39/197.43 [8526]~P1(f341(f341(f241(f889(x85261,a874)),x85262),x85263))+~P1(f341(f341(f241(f889(x85261,a874)),x85262),x85264))+P1(f341(f341(f241(f889(x85261,a874)),x85262),f341(f341(f126(f889(x85261,a874)),x85263),x85264))) % 197.39/197.43 [8630]E(x86301,f193(f889(x86302,a874)))+P1(f341(f72(x86303),x86304))+~P1(f341(f72(f888(x86303,x86302)),f341(f341(f259(x86303,x86302),x86304),f341(f18(f889(x86302,a874),x86303),x86301)))) % 197.39/197.43 [8631]E(x86311,f193(f889(x86312,a874)))+P1(f341(f72(x86313),x86314))+~P1(f341(f72(f888(x86312,x86313)),f341(f341(f259(x86312,x86313),x86311),f341(f18(f889(x86313,a874),x86312),x86314)))) % 197.39/197.43 [8692]P1(f341(f341(f344(x86921),x86922),f330(x86921,x86923)))+~P1(f341(f341(f344(x86921),x86924),f330(x86921,x86923)))+~P1(f341(f341(f344(f888(x86921,x86921)),f341(f341(f257(x86921,x86921),x86922),x86924)),x86923)) % 197.39/197.43 [8757]~P34(x87571,x87574)+P1(f341(f341(f344(f888(x87571,x87571)),f341(f341(f257(x87571,x87571),x87573),x87572)),f315(x87571,x87574)))+P34(x87571,f341(f341(f318(f888(x87571,x87571)),f341(f341(f257(x87571,x87571),x87572),x87573)),x87574)) % 197.39/197.43 [8758]~P56(x87581,x87584)+P1(f341(f341(f344(f888(x87581,x87581)),f341(f341(f257(x87581,x87581),x87583),x87582)),f315(x87581,x87584)))+P56(x87581,f341(f341(f318(f888(x87581,x87581)),f341(f341(f257(x87581,x87581),x87582),x87583)),x87584)) % 197.39/197.43 [8835]~E(x88352,x88353)+~P1(f341(f341(f344(x88351),x88352),f341(f176(x88351),x88354)))+P1(f341(f341(f344(f888(x88351,x88351)),f341(f341(f257(x88351,x88351),x88352),x88353)),f341(f176(f888(x88351,x88351)),f341(f341(f184(x88351,x88351),x88354),x88354)))) % 197.39/197.43 [8868]~P35(f889(x88681,a874),f889(x88681,a874),x88683)+~P1(f341(f341(f344(x88681),x88682),f113(f889(x88681,a874),x88683)))+P1(f341(f341(f344(x88681),x88682),f341(x88683,f341(f341(f125(f889(x88681,a874)),x88684),f113(f889(x88681,a874),x88683))))) % 197.39/197.43 [8928]~E(x89283,x89284)+P1(f341(f341(f262(x89281,x89281,a874),a338),x89282))+~P1(f341(f341(f344(f888(x89281,x89281)),x89282),f341(f176(f888(x89281,x89281)),f341(f341(f184(x89281,x89281),x89283),x89284)))) % 197.39/197.43 [8944]~P1(f341(x89444,x89442))+P1(f341(f341(f341(f341(a201,x89441),x89442),x89443),f477(x89443,x89442,x89441,x89444)))+~P1(f341(f341(f341(f341(a201,f32(x89444,x89441)),x89442),x89443),x89442)) % 197.39/197.43 [8971]P1(f341(f341(f344(f888(f883(x89711),f883(x89711))),f341(f341(f257(f883(x89711),f883(x89711)),x89712),x89713)),f152(x89711,x89714)))+~E(f341(f341(f177(x89711),f341(f194(f883(x89711)),x89712)),x89713),x89712)+~P1(f341(f341(f242(a881),f341(f194(f883(x89711)),x89712)),f341(f194(f883(x89711)),x89713))) % 197.39/197.43 [9066]~P1(f341(f72(x90661),x90664))+P1(f341(f341(f344(x90661),f712(x90662,x90663,x90664,x90661)),x90664))+P1(f341(f72(x90663),f341(f341(f42(x90661,f889(x90663,a874)),x90664),x90662))) % 197.39/197.43 [9146]P1(f341(f341(f344(f888(x91461,x91461)),x91462),f341(f341(f296(x91461,x91461,x91461),x91463),f315(x91461,x91463))))+~P1(f341(f341(f242(a881),f2(a881)),x91464))+~P1(f341(f341(f344(f888(x91461,x91461)),x91462),f341(f341(f186(f888(x91461,x91461),a874),x91464),x91463))) % 197.39/197.43 [9154]~P34(x91541,x91542)+~P1(f341(f341(f344(f888(x91541,x91541)),f341(f341(f257(x91541,x91541),x91544),x91543)),x91542))+~P1(f341(f341(f344(f888(x91541,x91541)),f341(f341(f257(x91541,x91541),x91543),x91544)),x91542)) % 197.39/197.43 [9285]~P1(f341(f72(x92851),x92854))+E(f341(f341(f8(x92851,a881),f341(f341(f10(f889(x92852,a874),a881,x92851),f37(x92852)),x92853)),x92854),f341(f37(f888(x92851,x92852)),f341(f341(f259(x92851,x92852),x92854),x92853)))+P1(f341(f341(f344(x92851),f703(x92853,x92852,x92854,x92851)),x92854)) % 197.39/197.43 [9286]~P1(f341(f142(x92861),x92862))+P1(f341(f142(x92861),f341(f341(f164(x92861,x92862),x92863),x92864)))+P1(f341(f341(f344(x92861),x92864),f341(f341(f3(f889(x92861,a874)),f341(f176(x92861),x92862)),f341(f341(f318(x92861),f341(f341(f169(x92861),x92862),x92863)),f193(f889(x92861,a874)))))) % 197.39/197.43 [9299]~P1(f341(f72(x92992),x92993))+~P1(f341(f72(x92991),f341(x92994,f712(x92994,x92991,x92993,x92992))))+P1(f341(f72(x92991),f341(f341(f42(x92992,f889(x92991,a874)),x92993),x92994))) % 197.39/197.43 [9369]~P1(f341(f341(f344(f888(x93691,x93691)),x93692),f341(f341(f296(x93691,x93691,x93691),x93694),f315(x93691,x93694))))+P1(f341(f341(f344(f888(x93691,x93691)),x93692),f341(f341(f296(x93691,x93691,x93691),x93693),f315(x93691,x93693))))+~P1(f341(f341(f241(f889(f888(x93691,x93691),a874)),x93694),x93693)) % 197.39/197.43 [9377]E(f341(f341(f177(x93771),f508(x93774,x93773,x93772,x93771)),x93773),f341(f341(f177(x93771),f508(x93774,x93773,x93772,x93771)),x93772))+~P1(f341(f341(f344(f888(f883(x93771),f883(x93771))),f341(f341(f257(f883(x93771),f883(x93771)),x93772),x93773)),f152(x93771,x93774)))+E(f341(f341(f177(x93771),f341(f194(f883(x93771)),x93772)),x93773),x93772) % 197.39/197.43 [9395]~P1(f341(f72(x93951),x93954))+E(f341(f341(f8(x93951,a881),f341(f341(f10(f889(x93952,a874),a881,x93951),f37(x93952)),x93953)),x93954),f341(f37(f888(x93951,x93952)),f341(f341(f259(x93951,x93952),x93954),x93953)))+~P1(f341(f72(x93952),f341(x93953,f703(x93953,x93952,x93954,x93951)))) % 197.39/197.43 [9399]~E(f341(f194(f883(x93991)),x93993),f341(f194(f883(x93991)),x93992))+P1(f341(f341(f344(f888(f883(x93991),f883(x93991))),f341(f341(f257(f883(x93991),f883(x93991)),x93992),x93993)),f163(x93991,x93994)))+P1(f341(f341(f344(f888(x93991,x93991)),f520(x93994,x93993,x93992,x93991)),f341(f176(f888(x93991,x93991)),f341(f341(f184(x93991,x93991),x93992),x93993)))) % 197.39/197.43 [9486]~P1(f341(f341(f344(f888(f883(x94861),f883(x94861))),f341(f341(f257(f883(x94861),f883(x94861)),x94862),x94863)),f152(x94861,x94864)))+E(f341(f341(f177(x94861),f341(f194(f883(x94861)),x94862)),x94863),x94862)+P1(f341(f341(f242(a881),f508(x94864,x94863,x94862,x94861)),f341(f341(f246(a881),f341(f194(f883(x94861)),x94862)),f341(f194(f883(x94861)),x94863)))) % 197.39/197.43 [9498]~P1(f341(x94981,x94984))+P1(f341(f341(f341(f341(a201,f32(x94981,x94982)),f477(x94983,x94984,x94982,x94981)),x94983),x94984))+~P1(f341(f341(f341(f341(a201,f32(x94981,x94982)),x94984),x94983),x94984)) % 197.39/197.43 [9502]~P1(f341(f341(f344(f888(f883(x95021),f883(x95021))),f341(f341(f257(f883(x95021),f883(x95021)),x95022),x95023)),f152(x95021,x95024)))+P1(f341(f341(f242(a881),f341(f194(f883(x95021)),x95022)),f341(f194(f883(x95021)),x95023)))+P1(f341(f341(f242(a881),f508(x95024,x95023,x95022,x95021)),f341(f341(f246(a881),f341(f194(f883(x95021)),x95022)),f341(f194(f883(x95021)),x95023)))) % 197.39/197.43 [9885]~P1(f341(f341(f344(f888(f883(x98851),f883(x98851))),f341(f341(f257(f883(x98851),f883(x98851)),x98852),x98853)),f152(x98851,x98854)))+E(f341(f341(f177(x98851),f341(f194(f883(x98851)),x98852)),x98853),x98852)+P1(f341(f341(f344(f888(x98851,x98851)),f341(f341(f257(x98851,x98851),f341(f341(f169(x98851),x98852),f508(x98854,x98853,x98852,x98851))),f341(f341(f169(x98851),x98853),f508(x98854,x98853,x98852,x98851)))),x98854)) % 197.39/197.43 [9886]~P1(f341(f341(f344(f888(f883(x98861),f883(x98861))),f341(f341(f257(f883(x98861),f883(x98861)),x98862),x98863)),f152(x98861,x98864)))+P1(f341(f341(f242(a881),f341(f194(f883(x98861)),x98862)),f341(f194(f883(x98861)),x98863)))+P1(f341(f341(f344(f888(x98861,x98861)),f341(f341(f257(x98861,x98861),f341(f341(f169(x98861),x98862),f508(x98864,x98863,x98862,x98861))),f341(f341(f169(x98861),x98863),f508(x98864,x98863,x98862,x98861)))),x98864)) % 197.39/197.43 [9955]~E(f341(f194(f883(x99551)),x99552),f341(f194(f883(x99551)),x99553))+P1(f341(f341(f344(f888(f883(x99551),f883(x99551))),f341(f341(f257(f883(x99551),f883(x99551)),x99552),x99553)),f163(x99551,x99554)))+~P1(f341(f341(f344(f888(x99551,x99551)),f341(f341(f257(x99551,x99551),f341(f341(f169(x99551),x99552),f503(x99554,x99553,x99552,x99551))),f341(f341(f169(x99551),x99553),f503(x99554,x99553,x99552,x99551)))),x99554)) % 197.39/197.43 [10144]~P70(x101441)+~P1(f341(f72(x101442),x101444))+E(f341(f170(x101441),f341(f341(f159(x101442,x101441),x101443),f102(f883(x101442),f341(f341(f20(f883(x101442),a874,a874),f341(f341(f10(a874,f889(a874,a874),f883(x101442)),a339),f341(f341(f9(f883(x101442),f889(x101442,a874),a874),f341(f341(f10(f889(x101442,a874),f889(f889(x101442,a874),a874),f883(x101442)),a338),f176(x101442))),x101444))),f142(x101442))))),f238(x101442,x101441,x101443,x101444)) % 197.39/197.43 [7407]~P63(x74072)+E(x74071,f2(x74072))+E(f341(f341(f298(x74072),f341(f341(f91(x74072),x74073),f341(f341(f92(x74072),x74074),x74071))),x74071),f341(f341(f91(x74072),x74074),f341(f341(f298(x74072),x74073),x74071))) % 197.39/197.43 [7408]~P59(x74082)+E(x74081,f2(x74082))+E(f341(f341(f38(x74082),f341(f341(f91(x74082),x74083),f341(f341(f92(x74082),x74084),x74081))),x74081),f341(f341(f91(x74082),x74084),f341(f341(f38(x74082),x74083),x74081))) % 197.39/197.43 [7409]~P59(x74092)+E(x74091,f2(x74092))+E(f341(f341(f38(x74092),f341(f341(f91(x74092),x74093),f341(f341(f92(x74092),x74091),x74094))),x74091),f341(f341(f91(x74092),x74094),f341(f341(f38(x74092),x74093),x74091))) % 197.39/197.43 [7633]~P63(x76332)+E(x76331,f2(x76332))+E(f341(f341(f298(x76332),f341(f341(f91(x76332),x76333),f341(f341(f92(x76332),x76334),x76331))),x76331),f341(f341(f91(x76332),f341(f341(f298(x76332),x76333),x76331)),x76334)) % 197.39/197.43 [7634]~P64(x76342)+E(x76341,f2(x76342))+E(f341(f341(f298(x76342),f341(f341(f91(x76342),x76343),f341(f341(f92(x76342),x76341),x76344))),x76341),f341(f341(f91(x76342),f341(f341(f298(x76342),x76343),x76341)),x76344)) % 197.39/197.43 [7635]~P64(x76352)+E(x76351,f2(x76352))+E(f341(f341(f298(x76352),f341(f341(f3(x76352),x76353),f341(f341(f92(x76352),x76351),x76354))),x76351),f341(f341(f3(x76352),f341(f341(f298(x76352),x76353),x76351)),x76354)) % 197.39/197.43 [8335]~P1(f341(f165(x83351,x83353),x83354))+~P1(f341(f165(x83351,x83352),x83354))+P1(f341(f165(x83351,f341(f341(f126(f889(x83351,a874)),x83352),x83353)),x83354)) % 197.39/197.43 [8709]~E(f341(f341(f296(x87091,x87091,x87091),x87092),x87094),f193(f889(f888(x87091,x87091),a874)))+~E(f341(f341(f296(x87091,x87091,x87091),x87092),x87093),f193(f889(f888(x87091,x87091),a874)))+E(f341(f341(f296(x87091,x87091,x87091),x87092),f341(f341(f125(f889(f888(x87091,x87091),a874)),x87093),x87094)),f193(f889(f888(x87091,x87091),a874))) % 197.39/197.43 [8836]~P1(f341(f341(f241(f889(x88361,a874)),x88363),x88364))+~P1(f341(f341(f241(f889(x88361,a874)),x88362),x88364))+P1(f341(f341(f241(f889(x88361,a874)),f341(f341(f125(f889(x88361,a874)),x88362),x88363)),x88364)) % 197.39/197.43 [9206]~P1(f341(f72(x92061),x92064))+~P1(f341(f72(x92061),x92063))+E(f341(f341(f3(a881),f341(f341(f91(a881),f341(f341(f8(x92061,a881),x92062),x92063)),f341(f341(f8(x92061,a881),x92062),x92064))),f341(f341(f8(x92061,a881),x92062),f341(f341(f126(f889(x92061,a874)),x92063),x92064))),f341(f341(f8(x92061,a881),x92062),f341(f341(f125(f889(x92061,a874)),x92063),x92064))) % 197.39/197.43 [9297]~P1(f341(f341(f344(x92971),x92973),x92972))+~P1(f341(f341(f241(f889(x92971,a874)),x92972),f341(f341(f318(x92971),x92973),x92974)))+P1(f341(f341(f241(f889(x92971,a874)),f341(f341(f3(f889(x92971,a874)),x92972),f341(f341(f318(x92971),x92973),f193(f889(x92971,a874))))),x92974)) % 197.39/197.43 [9456]~P1(f341(f341(f344(x94561),x94563),x94562))+P1(f341(f341(f241(f889(x94561,a874)),x94562),f341(f341(f318(x94561),x94563),x94564)))+~P1(f341(f341(f241(f889(x94561,a874)),f341(f341(f3(f889(x94561,a874)),x94562),f341(f341(f318(x94561),x94563),f193(f889(x94561,a874))))),x94564)) % 197.39/197.43 [9546]~P1(f341(f341(f242(a881),x95462),x95464))+~P1(f341(f341(f241(a881),x95461),x95463))+P1(f341(f341(f344(f888(f888(a881,a881),f888(a881,a881))),f341(f341(f257(f888(a881,a881),f888(a881,a881)),f341(f341(f257(a881,a881),x95461),x95462)),f341(f341(f257(a881,a881),x95463),x95464))),a35)) % 197.39/197.43 [9547]~P1(f341(f341(f241(a881),x95472),x95474))+~P1(f341(f341(f241(a881),x95471),x95473))+P1(f341(f341(f344(f888(f888(a881,a881),f888(a881,a881))),f341(f341(f257(f888(a881,a881),f888(a881,a881)),f341(f341(f257(a881,a881),x95471),x95472)),f341(f341(f257(a881,a881),x95473),x95474))),a80)) % 197.39/197.43 [9818]~P1(f341(f341(f344(f883(x98181)),x98184),f166(x98181,x98183)))+~P1(f341(f341(f344(f883(x98181)),x98184),f166(x98181,x98182)))+P1(f341(f165(x98181,f341(f341(f126(f889(x98181,a874)),f341(f341(f9(x98181,f889(x98181,a874),a874),f344(x98181)),x98182)),f341(f341(f9(x98181,f889(x98181,a874),a874),f344(x98181)),x98183))),x98184)) % 197.39/197.43 [9919]~P18(x99191,f889(f889(x99191,a874),a874),f341(f341(f9(x99191,f889(f888(x99191,x99191),a874),f889(f889(x99191,a874),a874)),f341(f341(f10(f889(x99191,a874),f889(f889(f888(x99191,x99191),a874),f889(f889(x99191,a874),a874)),x99191),f71(x99191)),f341(f341(f9(x99191,f889(x99191,a874),f889(x99191,a874)),f318(x99191)),f193(f889(x99191,a874))))),x99193),x99192)+~P1(f341(f341(f344(x99191),x99194),x99192))+E(f341(f341(f3(f889(f889(x99191,a874),a874)),f341(f341(f71(x99191),x99192),x99193)),f341(f341(f71(x99191),f341(f341(f318(x99191),x99194),f193(f889(x99191,a874)))),x99193)),f341(f341(f71(x99191),f341(f341(f3(f889(x99191,a874)),x99192),f341(f341(f318(x99191),x99194),f193(f889(x99191,a874))))),x99193)) % 197.39/197.43 [10096]~P46(x100961,x100962,x100964)+~P1(f341(f341(f344(f888(x100961,x100961)),x100963),x100964))+P1(f341(f341(f262(x100961,x100961,a874),f341(f341(f9(x100961,f889(x100961,a874),f889(x100961,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x100961,a874),f889(x100961,a874)),x100961),f10(a874,a874,x100961)),f341(f341(f10(a874,f889(a874,a874),x100961),a339),f341(f341(f9(x100961,f889(x100961,a874),a874),f344(x100961)),x100962)))),f341(f341(f9(x100961,f889(x100961,a874),a874),f344(x100961)),x100962))),x100963)) % 197.39/197.43 [8090]~P64(x80902)+E(x80901,f2(x80902))+E(f341(f341(f298(x80902),f341(f341(f91(x80902),f341(f341(f92(x80902),x80901),x80903)),x80904)),x80901),f341(f341(f91(x80902),x80903),f341(f341(f298(x80902),x80904),x80901))) % 197.39/197.43 [8091]~P64(x80912)+E(x80911,f2(x80912))+E(f341(f341(f298(x80912),f341(f341(f3(x80912),f341(f341(f92(x80912),x80911),x80913)),x80914)),x80911),f341(f341(f3(x80912),x80913),f341(f341(f298(x80912),x80914),x80911))) % 197.39/197.43 [9002]~E(f341(f341(f296(x90021,x90021,x90021),x90023),x90024),f193(f889(f888(x90021,x90021),a874)))+~E(f341(f341(f296(x90021,x90021,x90021),x90022),x90024),f193(f889(f888(x90021,x90021),a874)))+E(f341(f341(f296(x90021,x90021,x90021),f341(f341(f125(f889(f888(x90021,x90021),a874)),x90022),x90023)),x90024),f193(f889(f888(x90021,x90021),a874))) % 197.39/197.43 [9741]~P1(f341(f165(x97411,x97413),x97414))+~P1(f341(f165(x97411,x97412),x97414))+P1(f341(f165(x97411,f341(f341(f20(x97411,a874,a874),f341(f341(f10(a874,f889(a874,a874),x97411),a339),x97412)),x97413)),x97414)) % 197.39/197.43 [9996]P1(f341(x99961,f614(x99962,x99963,x99961,x99964)))+~P1(f341(f72(x99964),f341(f267(x99964),x99961)))+P1(f341(f72(x99963),f341(f267(x99963),f341(f341(f10(f889(x99964,a874),a874,x99963),f98(x99964)),f341(f341(f10(f889(x99964,a874),f889(x99964,a874),x99963),f341(f20(x99964,a874,a874),f341(f341(f10(a874,f889(a874,a874),x99964),a339),x99961))),x99962))))) % 197.39/197.43 [10012]~P1(f341(f72(x100122),f341(f267(x100122),x100123)))+~P1(f341(f72(x100121),f341(f267(x100121),f341(f341(f9(x100121,x100122,a874),x100124),f614(x100124,x100121,x100123,x100122)))))+P1(f341(f72(x100121),f341(f267(x100121),f341(f341(f10(f889(x100122,a874),a874,x100121),f98(x100122)),f341(f341(f10(f889(x100122,a874),f889(x100122,a874),x100121),f341(f20(x100122,a874,a874),f341(f341(f10(a874,f889(a874,a874),x100122),a339),x100123))),x100124))))) % 197.39/197.43 [10122]~P1(f341(f72(x101221),x101224))+P1(f341(f341(f344(x101221),f615(x101222,x101223,x101224,x101221)),x101224))+P1(f341(f72(x101223),f341(f267(x101223),f341(f341(f10(f889(x101221,a874),a874,x101223),f98(x101221)),f341(f341(f10(f889(x101221,a874),f889(x101221,a874),x101223),f341(f20(x101221,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101221),a339),f341(f341(f9(x101221,f889(x101221,a874),a874),f344(x101221)),x101224)))),x101222))))) % 197.39/197.43 [10131]~P1(f341(f72(x101312),x101313))+~P1(f341(f72(x101311),f341(f267(x101311),f341(f341(f9(x101311,x101312,a874),x101314),f615(x101314,x101311,x101313,x101312)))))+P1(f341(f72(x101311),f341(f267(x101311),f341(f341(f10(f889(x101312,a874),a874,x101311),f98(x101312)),f341(f341(f10(f889(x101312,a874),f889(x101312,a874),x101311),f341(f20(x101312,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101312),a339),f341(f341(f9(x101312,f889(x101312,a874),a874),f344(x101312)),x101313)))),x101314))))) % 197.39/197.43 [6529]E(x65291,x65292)+~E(f341(x65293,x65291),f341(x65293,x65292))+~P18(x65294,x65295,x65293,f249(f889(x65294,a874))) % 197.39/197.43 [8227]~P1(f341(f341(x82273,x82272),x82275))+~P1(f341(f341(x82273,x82274),x82272))+P1(f341(f341(f344(x82271),x82272),f297(x82271,x82273,x82274,x82275))) % 197.39/197.43 [8228]~P1(f341(f341(x82283,x82282),x82285))+~P1(f341(f341(x82283,x82284),x82282))+P1(f341(f341(f344(x82281),x82282),f306(x82281,x82283,x82284,x82285))) % 197.39/197.43 [9351]P1(f341(f341(f344(f888(x93511,x93511)),f341(f341(f257(x93511,x93511),x93512),x93513)),f315(x93511,x93514)))+~P1(f341(f341(f344(f888(x93511,x93511)),f341(f341(f257(x93511,x93511),x93512),x93515)),f315(x93511,x93514)))+~P1(f341(f341(f344(f888(x93511,x93511)),f341(f341(f257(x93511,x93511),x93515),x93513)),f315(x93511,x93514))) % 197.39/197.43 [9384]~P101(x93842)+~P1(f341(f142(x93841),x93845))+P1(f341(f142(x93841),f155(x93841,x93842,x93843,x93844,x93845))) % 197.39/197.43 [9545]E(f341(f319(x95452,x95451),f826(x95453,x95454,x95455,x95451,x95452)),x95455)+E(f341(f323(x95451,x95452),f825(x95453,x95454,x95455,x95451,x95452)),x95455)+~P1(f341(f341(f344(f887(x95452,x95451)),x95455),f324(x95452,x95451,x95454,x95453))) % 197.39/197.43 [5333]~E(x53334,f129(x53331))+~E(x53335,f341(f341(f156(x53331),x53332),x53333))+E(f341(f341(f156(x53331),x53332),x53333),f341(f341(f137(x53331),x53334),x53335)) % 197.39/197.43 [5334]~E(x53344,f129(x53341))+~E(f341(f341(f156(x53341),x53342),x53343),x53345)+E(f341(f341(f156(x53341),x53342),x53343),f341(f341(f137(x53341),x53344),x53345)) % 197.39/197.43 [6487]~E(f341(f194(f883(x64871)),x64875),f341(f194(f883(x64872)),x64874))+E(f341(f341(f159(f888(x64871,x64872),x64872),f261(x64871,x64872)),x64873),x64874)+~E(f341(f341(f184(x64871,x64872),x64875),x64874),x64873) % 197.39/197.43 [6488]~E(f341(f194(f883(x64881)),x64884),f341(f194(f883(x64882)),x64885))+E(f341(f341(f159(f888(x64881,x64882),x64881),f256(x64881,x64882)),x64883),x64884)+~E(f341(f341(f184(x64881,x64882),x64884),x64885),x64883) % 197.39/197.43 [6983]~P101(x69831)+~P16(x69831,f341(f341(f159(x69832,x69831),x69833),x69835))+P16(x69831,f341(f341(f159(x69832,x69831),x69833),f341(f141(x69832,x69834),x69835))) % 197.39/197.43 [7026]~P1(f341(x70263,x70265))+~P1(f341(f341(x70262,x70264),x70265))+P1(f341(f341(f106(x70261,x70262,x70263),x70264),x70265)) % 197.39/197.43 [7127]~P101(x71271)+P16(x71271,f341(f341(f159(x71272,x71271),x71273),f174(x71272,x71274,x71275)))+~P16(x71271,f341(f341(f159(x71272,x71271),x71273),x71275)) % 197.39/197.43 [7150]~P53(x71503,x71502,x71505)+~P53(x71501,x71503,x71504)+P53(x71501,x71502,f341(f341(f296(x71501,x71503,x71502),x71504),x71505)) % 197.39/197.43 [7234]E(x72341,x72342)+~P18(x72343,x72344,x72345,f249(f889(x72343,a874)))+~E(f341(f341(f317(x72343,x72344),x72345),x72341),f341(f341(f317(x72343,x72344),x72345),x72342)) % 197.39/197.43 [7236]E(x72361,x72362)+~P18(x72363,x72364,x72365,f249(f889(x72363,a874)))+~E(f341(f341(f159(x72363,x72364),x72365),x72361),f341(f341(f159(x72363,x72364),x72365),x72362)) % 197.39/197.43 [7395]~P1(f341(f341(f242(a881),x73951),f341(x73953,x73955)))+P1(f341(f341(f242(a881),x73951),f160(x73952,x73953,x73954)))+~P1(f341(f341(f344(x73952),x73955),f341(f176(x73952),x73954))) % 197.39/197.43 [7396]~P1(f341(f341(f241(a881),x73961),f341(x73963,x73965)))+P1(f341(f341(f241(a881),x73961),f160(x73962,x73963,x73964)))+~P1(f341(f341(f344(x73962),x73965),f341(f176(x73962),x73964))) % 197.39/197.43 [7559]P18(x75592,x75593,f685(x75594,x75593,x75592,x75591),x75591)+E(x75591,f193(f889(x75592,a874)))+~E(f341(f341(f317(x75593,x75592),x75595),x75594),x75591) % 197.39/197.43 [7788]~P105(x77881)+P1(f341(f341(f241(f889(x77881,a874)),f310(x77881,x77882,x77883)),f310(x77881,x77884,x77885)))+P1(f341(f341(f241(x77881),x77882),x77883)) % 197.39/197.43 [7810]~P8(x78101)+P1(f341(f341(f241(x78101),f341(f341(f43(x78102,x78101),x78103),x78104)),f341(x78104,x78105)))+~P1(f341(f341(f344(x78102),x78105),x78103)) % 197.39/197.43 [7875]~P18(x78751,x78752,x78754,x78753)+E(f341(f88(x78751,x78752,x78753,x78754),f341(x78754,x78755)),x78755)+~P1(f341(f341(f344(x78751),x78755),x78753)) % 197.39/197.43 [8078]~P1(f341(x80781,x80785))+P1(f341(x80781,f460(x80781,x80782,x80783,x80784)))+~P1(f341(f341(f344(x80784),x80785),x80783)) % 197.39/197.43 [8079]~P1(f341(x80791,x80795))+P1(f341(x80791,f460(x80791,x80792,x80793,x80794)))+~P1(f341(f341(f344(x80794),x80795),x80792)) % 197.39/197.43 [8338]E(x83381,x83382)+~P18(x83383,x83384,x83385,f341(f341(f125(f889(x83383,a874)),f341(f176(x83383),x83381)),f341(f176(x83383),x83382)))+~E(f341(f341(f159(x83383,x83384),x83385),x83381),f341(f341(f159(x83383,x83384),x83385),x83382)) % 197.39/197.43 [8388]~P105(x83881)+~P1(f341(f341(f242(f889(x83881,a874)),f310(x83881,x83884,x83885)),f310(x83881,x83882,x83883)))+P1(f341(f341(f241(x83881),x83882),x83883)) % 197.39/197.43 [8497]~E(f341(f341(f317(x84973,x84972),x84974),f249(f889(x84973,a874))),f249(f889(x84972,a874)))+~E(f341(f341(f317(x84971,x84973),x84975),f249(f889(x84971,a874))),f249(f889(x84973,a874)))+E(f341(f341(f317(x84971,x84972),f341(f341(f82(x84973,x84972,x84971),x84974),x84975)),f249(f889(x84971,a874))),f249(f889(x84972,a874))) % 197.39/197.43 [8518]~P18(x85181,x85183,x85185,f249(f889(x85181,a874)))+~P18(x85183,x85182,x85184,f249(f889(x85183,a874)))+P18(x85181,x85182,f341(f341(f82(x85183,x85182,x85181),x85184),x85185),f249(f889(x85181,a874))) % 197.39/197.43 [8542]P1(f341(x85421,x85422))+~P1(f341(x85421,f462(x85421,x85423,x85424,x85425)))+~P1(f341(f341(f344(x85425),x85422),x85424)) % 197.39/197.43 [8543]P1(f341(x85431,x85432))+~P1(f341(x85431,f462(x85431,x85433,x85434,x85435)))+~P1(f341(f341(f344(x85435),x85432),x85433)) % 197.39/197.43 [8939]E(x89391,f129(x89392))+E(f341(f341(f156(x89392),x89393),f486(x89394,x89393,x89395,x89391,x89392)),x89391)+~E(f341(f341(f156(x89392),x89393),x89394),f341(f341(f137(x89392),x89391),x89395)) % 197.39/197.43 [8940]E(x89401,f129(x89402))+E(f341(f341(f156(x89402),x89403),f487(x89404,x89401,x89405,x89403,x89402)),x89401)+~E(f341(f341(f156(x89402),x89403),x89405),f341(f341(f137(x89402),x89401),x89404)) % 197.39/197.43 [8957]E(f341(f341(f156(x89572),x89573),f486(x89574,x89573,x89571,x89575,x89572)),x89575)+~E(f341(f341(f156(x89572),x89573),x89574),f341(f341(f137(x89572),x89575),x89571))+E(x89571,f341(f341(f156(x89572),x89573),x89574)) % 197.39/197.43 [8958]E(f341(f341(f156(x89581),x89582),f487(x89584,x89585,x89583,x89582,x89581)),x89585)+~E(f341(f341(f156(x89581),x89582),x89583),f341(f341(f137(x89581),x89585),x89584))+E(f341(f341(f156(x89581),x89582),x89583),x89584) % 197.39/197.43 [9391]E(x93911,f129(x93912))+~E(f341(f341(f156(x93912),x93915),x93914),f341(f341(f137(x93912),x93911),x93913))+E(f341(f341(f137(x93912),f487(x93913,x93911,x93914,x93915,x93912)),x93913),x93914) % 197.39/197.43 [9392]E(x93921,f129(x93922))+~E(f341(f341(f156(x93922),x93924),x93923),f341(f341(f137(x93922),x93921),x93925))+E(f341(f341(f137(x93922),f486(x93923,x93924,x93925,x93921,x93922)),x93925),x93923) % 197.39/197.43 [9400]E(f341(f341(f137(x94002),f486(x94004,x94003,x94001,x94005,x94002)),x94001),x94004)+~E(f341(f341(f156(x94002),x94003),x94004),f341(f341(f137(x94002),x94005),x94001))+E(x94001,f341(f341(f156(x94002),x94003),x94004)) % 197.39/197.43 [9401]~E(f341(f341(f156(x94011),x94012),x94013),f341(f341(f137(x94011),x94015),x94014))+E(f341(f341(f137(x94011),f487(x94014,x94015,x94013,x94012,x94011)),x94014),x94013)+E(f341(f341(f156(x94011),x94012),x94013),x94014) % 197.39/197.43 [9402]E(f341(f341(f137(x94021),x94025),f481(x94023,x94022,x94024,x94025,x94021)),x94022)+E(f341(f341(f137(x94021),x94022),f478(x94023,x94022,x94024,x94025,x94021)),x94025)+~E(f341(f341(f137(x94021),x94025),x94024),f341(f341(f137(x94021),x94022),x94023)) % 197.39/197.43 [9436]~P101(x94361)+P16(x94361,f341(f341(f159(x94362,x94361),x94363),f155(x94362,x94361,x94363,x94364,x94365)))+~P16(x94361,f341(f341(f159(x94362,x94361),x94363),x94365)) % 197.39/197.43 [9451]~P57(x94515,x94511,x94514,x94513)+P1(f341(f341(x94511,x94512),f670(x94513,x94514,x94511,x94515,x94512)))+~P1(f341(f341(f344(x94515),x94512),x94514)) % 197.39/197.43 [9452]~P57(x94525,x94521,x94524,x94523)+P1(f341(f341(x94521,x94522),f802(x94523,x94524,x94521,x94525,x94522)))+~P1(f341(f341(f344(x94525),x94522),x94524)) % 197.39/197.43 [9556]~P1(f341(f341(f344(f888(x95561,x95561)),f341(f341(f257(x95561,x95561),x95565),x95563)),f315(x95561,x95564)))+P1(f341(f341(f344(f888(x95561,x95561)),f341(f341(f257(x95561,x95561),x95562),x95563)),f341(f341(f296(x95561,x95561,x95561),x95564),f315(x95561,x95564))))+~P1(f341(f341(f344(f888(x95561,x95561)),f341(f341(f257(x95561,x95561),x95562),x95565)),f341(f341(f296(x95561,x95561,x95561),x95564),f315(x95561,x95564)))) % 197.39/197.43 [9557]~P1(f341(f341(f344(f888(x95571,x95571)),f341(f341(f257(x95571,x95571),x95572),x95575)),f315(x95571,x95574)))+P1(f341(f341(f344(f888(x95571,x95571)),f341(f341(f257(x95571,x95571),x95572),x95573)),f341(f341(f296(x95571,x95571,x95571),x95574),f315(x95571,x95574))))+~P1(f341(f341(f344(f888(x95571,x95571)),f341(f341(f257(x95571,x95571),x95575),x95573)),f341(f341(f296(x95571,x95571,x95571),x95574),f315(x95571,x95574)))) % 197.39/197.43 [9559]P1(f341(f341(f344(f888(f883(x95591),f883(x95591))),f341(f341(f257(f883(x95591),f883(x95591)),x95592),x95593)),f163(x95591,f315(x95591,x95594))))+~P1(f341(f341(f344(f888(f883(x95591),f883(x95591))),f341(f341(f257(f883(x95591),f883(x95591)),x95592),x95595)),f163(x95591,f315(x95591,x95594))))+~P1(f341(f341(f344(f888(f883(x95591),f883(x95591))),f341(f341(f257(f883(x95591),f883(x95591)),x95595),x95593)),f163(x95591,f315(x95591,x95594)))) % 197.39/197.43 [9563]E(f341(f341(f137(x95631),x95632),f478(x95633,x95632,x95634,x95635,x95631)),x95635)+E(f341(f341(f137(x95631),f481(x95633,x95632,x95634,x95635,x95631)),x95633),x95634)+~E(f341(f341(f137(x95631),x95632),x95633),f341(f341(f137(x95631),x95635),x95634)) % 197.39/197.43 [9564]E(f341(f341(f137(x95641),x95642),f481(x95643,x95644,x95645,x95642,x95641)),x95644)+E(f341(f341(f137(x95641),f478(x95643,x95644,x95645,x95642,x95641)),x95645),x95643)+~E(f341(f341(f137(x95641),x95642),x95645),f341(f341(f137(x95641),x95644),x95643)) % 197.39/197.43 [9613]P1(f341(f341(f344(f888(x96131,x96131)),f341(f341(f257(x96131,x96131),x96132),x96133)),f341(f341(f296(x96131,x96131,x96131),x96134),f315(x96131,x96134))))+~P1(f341(f341(f344(f888(x96131,x96131)),f341(f341(f257(x96131,x96131),x96132),x96135)),f341(f341(f296(x96131,x96131,x96131),x96134),f315(x96131,x96134))))+~P1(f341(f341(f344(f888(x96131,x96131)),f341(f341(f257(x96131,x96131),x96135),x96133)),f341(f341(f296(x96131,x96131,x96131),x96134),f315(x96131,x96134)))) % 197.39/197.43 [9644]P32(x96441,x96442,x96443,x96444,x96445)+~E(f341(f194(f883(x96441)),x96444),f341(f194(f883(x96442)),x96445))+~P1(f341(f341(f262(x96441,x96442,a874),x96443),f534(x96445,x96444,x96443,x96442,x96441))) % 197.39/197.43 [9645]P32(x96451,x96452,x96453,x96454,x96455)+~E(f341(f194(f883(x96451)),x96454),f341(f194(f883(x96452)),x96455))+~P1(f341(f341(f262(x96451,x96452,a874),x96453),f539(x96453,x96455,x96454,x96452,x96451))) % 197.39/197.43 [9647]E(f341(f341(f137(x96471),f478(x96472,x96473,x96474,x96475,x96471)),x96474),x96472)+~E(f341(f341(f137(x96471),x96473),x96472),f341(f341(f137(x96471),x96475),x96474))+E(f341(f341(f137(x96471),f481(x96472,x96473,x96474,x96475,x96471)),x96472),x96474) % 197.39/197.43 [9662]~P57(x96621,x96624,x96623,x96622)+~P1(f341(f341(f344(x96621),x96625),x96623))+P1(f341(f341(f344(x96621),f670(x96622,x96623,x96624,x96621,x96625)),x96622)) % 197.39/197.43 [9663]~P57(x96631,x96634,x96633,x96632)+~P1(f341(f341(f344(x96631),x96635),x96633))+P1(f341(f341(f344(x96631),f802(x96632,x96633,x96634,x96631,x96635)),x96632)) % 197.39/197.43 [9762]E(f341(f319(x97621,x97622),f826(x97623,x97624,x97625,x97622,x97621)),x97625)+~P1(f341(f341(f344(f887(x97621,x97622)),x97625),f324(x97621,x97622,x97624,x97623)))+P1(f341(f341(f344(x97622),f825(x97623,x97624,x97625,x97622,x97621)),x97623)) % 197.39/197.43 [9763]E(f341(f323(x97631,x97632),f825(x97633,x97634,x97635,x97631,x97632)),x97635)+~P1(f341(f341(f344(f887(x97632,x97631)),x97635),f324(x97632,x97631,x97634,x97633)))+P1(f341(f341(f344(x97632),f826(x97633,x97634,x97635,x97631,x97632)),x97634)) % 197.39/197.43 [9849]~P1(f341(f341(f344(f887(x98491,x98495)),x98494),f324(x98491,x98495,x98493,x98492)))+P1(f341(f341(f344(x98495),f825(x98492,x98493,x98494,x98495,x98491)),x98492))+P1(f341(f341(f344(x98491),f826(x98492,x98493,x98494,x98495,x98491)),x98493)) % 197.39/197.43 [9971]P32(x99711,x99712,x99713,x99714,x99715)+~E(f341(f194(f883(x99711)),x99714),f341(f194(f883(x99712)),x99715))+~P1(f341(f341(x99713,f341(f341(f169(x99711),x99714),f537(x99715,x99714,x99713,x99712,x99711))),f341(f341(f169(x99712),x99715),f537(x99715,x99714,x99713,x99712,x99711)))) % 197.39/197.43 [6559]~E(x65593,x65594)+~E(x65592,x65595)+E(f341(f341(f318(x65591),x65592),f341(f341(f318(x65591),x65593),f193(f889(x65591,a874)))),f341(f341(f318(x65591),x65594),f341(f341(f318(x65591),x65595),f193(f889(x65591,a874))))) % 197.39/197.43 [6573]P1(f341(x65732,x65735))+E(f180(x65731,x65732,f341(f341(f137(x65731),x65733),x65734)),f180(x65731,x65732,x65733))+~P1(f341(f341(f344(x65731),x65735),f341(f176(x65731),x65733))) % 197.39/197.43 [6613]E(f341(x66131,x66132),f249(f889(x66133,a874)))+~E(f341(f341(f43(x66134,f889(x66133,a874)),x66135),x66131),f249(f889(x66133,a874)))+~P1(f341(f341(f344(x66134),x66132),x66135)) % 197.39/197.43 [6614]E(f341(x66141,x66142),f193(f889(x66143,a874)))+~E(f341(f341(f42(x66144,f889(x66143,a874)),x66145),x66141),f193(f889(x66143,a874)))+~P1(f341(f341(f344(x66144),x66142),x66145)) % 197.39/197.43 [6927]~P1(f341(f341(f199(x69271),x69273),x69275))+~P1(f341(f341(f199(x69272),x69275),x69274))+P1(f341(f341(f199(f33(x69271,x69272)),x69273),x69274)) % 197.39/197.43 [7137]~E(x71372,x71374)+~P140(x71371)+E(f341(f341(f91(x71371),f341(f341(f92(x71371),x71372),x71373)),f341(f341(f92(x71371),x71374),x71375)),f341(f341(f91(x71371),f341(f341(f92(x71371),x71372),x71375)),f341(f341(f92(x71371),x71374),x71373))) % 197.39/197.43 [7197]~P8(x71971)+~P1(f341(f341(f344(x71974),x71973),x71975))+P1(f341(f341(f241(x71971),f341(x71972,x71973)),f341(f341(f42(x71974,x71971),x71975),x71972))) % 197.39/197.43 [7241]~P106(x72411)+P1(f341(f341(f241(x72411),f341(x72412,x72413)),f341(x72414,x72413)))+~P1(f341(f341(f241(f889(x72415,x72411)),x72412),x72414)) % 197.39/197.43 [7366]E(x73661,x73662)+E(x73663,x73661)+~E(f341(f341(f318(x73664),x73661),f341(f341(f318(x73664),x73665),f193(f889(x73664,a874)))),f341(f341(f318(x73664),x73662),f341(f341(f318(x73664),x73663),f193(f889(x73664,a874))))) % 197.39/197.43 [7367]E(x73671,x73672)+E(x73673,x73671)+~E(f341(f341(f318(x73674),x73673),f341(f341(f318(x73674),x73672),f193(f889(x73674,a874)))),f341(f341(f318(x73674),x73675),f341(f341(f318(x73674),x73671),f193(f889(x73674,a874))))) % 197.39/197.43 [7368]E(x73681,x73682)+E(x73681,x73683)+~E(f341(f341(f318(x73684),x73683),f341(f341(f318(x73684),x73682),f193(f889(x73684,a874)))),f341(f341(f318(x73684),x73685),f341(f341(f318(x73684),x73681),f193(f889(x73684,a874))))) % 197.39/197.43 [7369]E(x73691,x73692)+E(x73691,x73693)+~E(f341(f341(f318(x73694),x73691),f341(f341(f318(x73694),x73695),f193(f889(x73694,a874)))),f341(f341(f318(x73694),x73692),f341(f341(f318(x73694),x73693),f193(f889(x73694,a874))))) % 197.39/197.43 [7885]P18(x78851,x78852,x78853,x78854)+~P18(x78851,x78852,x78853,x78855)+~P1(f341(f341(f241(f889(x78851,a874)),x78854),x78855)) % 197.39/197.43 [7892]~P1(f341(f341(f241(a881),x78925),x78923))+~P1(f341(f341(f341(f341(a201,x78921),x78922),x78925),x78924))+P1(f341(f341(f341(f341(a201,x78921),x78922),x78923),x78924)) % 197.39/197.43 [7948]E(x79481,x79482)+~P18(x79483,x79484,x79485,f341(f341(f125(f889(x79483,a874)),x79481),x79482))+~E(f341(f341(f317(x79483,x79484),x79485),x79481),f341(f341(f317(x79483,x79484),x79485),x79482)) % 197.39/197.43 [7954]P1(f341(f72(x79541),x79542))+~P1(f341(f72(x79543),x79544))+~P1(f341(f341(f241(f889(x79541,a874)),x79542),f341(f341(f317(x79543,x79541),x79545),x79544))) % 197.39/197.43 [7988]P1(f341(x79881,x79882))+~P1(f341(f341(f199(x79884),x79882),x79885))+P1(f341(f341(f199(f30(x79881,x79883,x79884)),x79882),x79885)) % 197.39/197.43 [8015]~P1(f341(x80151,x80154))+~P1(f341(f341(f199(x80152),x80154),x80155))+P1(f341(f341(f199(f30(x80151,x80152,x80153)),x80154),x80155)) % 197.39/197.43 [8143]P1(f341(x81432,x81434))+E(f341(f341(f143(x81431),f341(f194(f883(x81431)),f180(x81431,x81432,x81433))),x81433),f341(f341(f156(x81431),x81434),x81435))+~E(f341(f341(f137(x81431),f180(x81431,x81432,x81433)),f341(f341(f156(x81431),x81434),x81435)),x81433) % 197.39/197.43 [8177]~P18(x81771,x81772,x81773,x81775)+~P18(x81771,x81772,x81773,x81774)+P18(x81771,x81772,x81773,f341(f341(f126(f889(x81771,a874)),x81774),x81775)) % 197.39/197.43 [8276]~P70(x82761)+E(f341(f341(f91(x82761),f341(x82762,x82763)),f341(f170(x82761),f341(f341(f159(x82764,x82761),x82762),f174(x82764,x82763,x82765)))),f341(f170(x82761),f341(f341(f159(x82764,x82761),x82762),x82765)))+~P1(f341(f341(f344(x82764),x82763),f341(f176(x82764),x82765))) % 197.39/197.43 [8333]~P18(x83331,x83334,x83335,f249(f889(x83331,a874)))+P1(f341(f341(f344(x83331),x83332),x83333))+~P1(f341(f341(f344(x83334),f341(x83335,x83332)),f341(f341(f317(x83331,x83334),x83335),x83333))) % 197.39/197.43 [8363]~P101(x83631)+~P16(x83631,f341(f341(f159(x83632,x83631),x83633),x83635))+P16(x83631,f341(f341(f159(x83632,x83631),x83633),f341(f341(f154(x83632,x83631,x83633),x83634),x83635))) % 197.39/197.43 [8449]P1(f341(x84491,x84492))+P1(f341(f341(f199(x84493),x84492),x84494))+~P1(f341(f341(f199(f30(x84491,x84495,x84493)),x84492),x84494)) % 197.39/197.43 [8461]~P8(x84611)+P1(f341(f341(f241(x84611),f341(f341(f42(x84612,x84611),x84613),x84614)),f341(f341(f42(x84612,x84611),x84615),x84614)))+~P1(f341(f341(f241(f889(x84612,a874)),x84613),x84615)) % 197.39/197.43 [8462]~P8(x84621)+P1(f341(f341(f241(x84621),f341(f341(f43(x84622,x84621),x84623),x84624)),f341(f341(f43(x84622,x84621),x84625),x84624)))+~P1(f341(f341(f241(f889(x84622,a874)),x84625),x84623)) % 197.39/197.43 [8471]~P1(f341(x84714,x84712))+P1(f341(f341(f199(x84711),x84712),x84713))+~P1(f341(f341(f199(f30(x84714,x84711,x84715)),x84712),x84713)) % 197.39/197.43 [8492]~P101(x84923)+P1(f341(f142(x84921),x84922))+~P1(f341(f142(x84921),f341(f341(f154(x84921,x84923,x84924),x84925),x84922))) % 197.39/197.43 [8503]P1(f341(f341(f199(x85031),x85032),x85033))+P1(f341(f341(f199(x85034),x85032),x85033))+~P1(f341(f341(f199(f30(x85035,x85031,x85034)),x85032),x85033)) % 197.39/197.43 [8640]~P101(x86401)+~P1(f341(f341(f344(x86402),x86403),f341(f176(x86402),x86404)))+~P1(f341(f142(x86402),f341(f341(f154(x86402,x86401,x86405),x86403),x86404))) % 197.39/197.43 [8719]~P101(x87191)+P16(x87191,f341(f341(f159(x87192,x87191),x87193),x87194))+~P16(x87191,f341(f341(f159(x87192,x87191),x87193),f341(f341(f154(x87192,x87191,x87193),x87195),x87194))) % 197.39/197.43 [8756]~P18(x87562,x87563,x87561,x87564)+E(f341(x87561,f341(f88(x87562,x87563,x87564,x87561),x87565)),x87565)+~P1(f341(f341(f344(x87563),x87565),f341(f341(f317(x87562,x87563),x87561),x87564))) % 197.39/197.43 [8768]~P101(x87682)+E(f341(f341(f154(x87681,x87682,x87683),x87684),x87685),f155(x87681,x87682,x87683,x87684,x87685))+P1(f341(f341(f344(x87682),f341(x87683,x87684)),f341(f341(f317(x87681,x87682),x87683),f341(f176(x87681),x87685)))) % 197.39/197.43 [8785]~P18(x87852,x87851,x87853,x87855)+~P1(f341(f341(f242(f889(x87852,a874)),x87854),x87855))+P1(f341(f341(f242(f889(x87851,a874)),f341(f341(f317(x87852,x87851),x87853),x87854)),f341(f341(f317(x87852,x87851),x87853),x87855))) % 197.39/197.43 [8838]~P101(x88382)+E(f155(x88381,x88382,x88383,x88384,x88385),x88385)+~P1(f341(f341(f344(x88382),f341(x88383,x88384)),f341(f341(f317(x88381,x88382),x88383),f341(f176(x88381),x88385)))) % 197.39/197.43 [8992]~P18(x89921,x89922,x89923,f249(f889(x89921,a874)))+~P1(f341(f341(f241(f889(x89922,a874)),x89924),f341(f341(f317(x89921,x89922),x89923),x89925)))+P1(f341(f341(f241(f889(x89921,a874)),f341(f320(x89921,x89922,x89923),x89924)),x89925)) % 197.39/197.43 [9049]~E(f341(f341(f317(x90493,x90491),x90494),f249(f889(x90493,a874))),f249(f889(x90491,a874)))+~P1(f341(f341(f241(f889(x90493,a874)),f341(f320(x90493,x90491,x90494),x90492)),x90495))+P1(f341(f341(f241(f889(x90491,a874)),x90492),f341(f341(f317(x90493,x90491),x90494),x90495))) % 197.39/197.43 [9076]~P18(x90761,x90764,x90765,f249(f889(x90761,a874)))+~P1(f341(f341(f241(f889(x90764,a874)),f341(f341(f317(x90761,x90764),x90765),x90762)),f341(f341(f317(x90761,x90764),x90765),x90763)))+P1(f341(f341(f241(f889(x90761,a874)),x90762),x90763)) % 197.39/197.43 [9323]~P69(x93231)+~E(f341(x93233,f587(x93233,x93234,x93235,x93232,x93231)),f2(x93231))+E(f341(f170(x93231),f341(f341(f159(x93232,x93231),x93233),f341(f141(x93232,x93234),x93235))),f341(f170(x93231),f341(f341(f159(x93232,x93231),x93233),x93235))) % 197.39/197.43 [9588]~P69(x95881)+~P1(f341(x95884,f587(x95883,x95884,x95885,x95882,x95881)))+E(f341(f170(x95881),f341(f341(f159(x95882,x95881),x95883),f341(f141(x95882,x95884),x95885))),f341(f170(x95881),f341(f341(f159(x95882,x95881),x95883),x95885))) % 197.39/197.43 [9660]~P8(x96605)+P1(f341(f341(f344(x96601),f779(x96602,x96603,x96601,x96604,x96605)),x96603))+P1(f341(f341(f241(x96605),x96604),f341(f341(f43(x96601,x96605),x96603),x96602))) % 197.39/197.43 [9665]~P69(x96651)+E(f341(f170(x96651),f341(f341(f159(x96652,x96651),x96653),f341(f141(x96652,x96654),x96655))),f341(f170(x96651),f341(f341(f159(x96652,x96651),x96653),x96655)))+P1(f341(f341(f344(x96652),f587(x96653,x96654,x96655,x96652,x96651)),f341(f176(x96652),x96655))) % 197.39/197.43 [9703]P32(x97031,x97032,x97033,x97034,x97035)+~E(f341(f194(f883(x97032)),x97035),f341(f194(f883(x97031)),x97034))+P1(f341(f341(f242(a881),f537(x97035,x97034,x97033,x97032,x97031)),f341(f194(f883(x97031)),x97034))) % 197.39/197.43 [9783]~P8(x97831)+~P1(f341(f341(f241(x97831),x97832),f341(x97835,f779(x97835,x97834,x97833,x97832,x97831))))+P1(f341(f341(f241(x97831),x97832),f341(f341(f43(x97833,x97831),x97834),x97835))) % 197.39/197.43 [9816]~P72(x98161)+~P1(f341(f72(x98162),x98165))+E(f341(f341(f341(f75(x98161,x98162,f92(x98161)),f341(f341(f20(x98162,x98161,x98161),f341(f341(f10(x98161,f889(x98161,x98161),x98162),f92(x98161)),x98163)),x98164)),f89(x98161)),x98165),f341(f341(f92(x98161),f341(f341(f341(f75(x98161,x98162,f92(x98161)),x98163),f89(x98161)),x98165)),f341(f341(f341(f75(x98161,x98162,f92(x98161)),x98164),f89(x98161)),x98165))) % 197.39/197.43 [10011]~P1(f341(f341(f344(f888(f883(x100111),f883(x100111))),f341(f341(f257(f883(x100111),f883(x100111)),f341(f341(f137(x100111),x100115),x100112)),f341(f341(f137(x100111),x100115),x100113))),f152(x100111,x100114)))+P1(f341(f341(f344(f888(f883(x100111),f883(x100111))),f341(f341(f257(f883(x100111),f883(x100111)),x100112),x100113)),f152(x100111,x100114)))+P1(f341(f341(f344(f888(x100111,x100111)),f341(f341(f257(x100111,x100111),f488(x100114,x100113,x100112,x100115,x100111)),f488(x100114,x100113,x100112,x100115,x100111))),x100114)) % 197.39/197.43 [7244]~E(x72443,x72445)+E(f341(f341(f169(x72441),f341(f341(f164(x72441,x72442),x72443),x72444)),x72445),x72444)+~P1(f341(f341(f242(a881),x72443),f341(f194(f883(x72441)),x72442))) % 197.39/197.43 [7360]~E(f341(f341(f137(x73601),x73602),x73604),f341(f341(f137(x73601),x73603),x73605))+E(f341(f341(f177(x73601),f341(f194(f883(x73601)),x73602)),x73603),x73602)+P1(f341(f341(f241(a881),f341(f194(f883(x73601)),x73603)),f341(f194(f883(x73601)),x73602))) % 197.39/197.43 [7375]~E(x73755,x73752)+P1(f341(x73751,x73752))+P1(f341(f341(f341(f341(a201,f32(x73751,x73753)),x73752),x73754),x73755)) % 197.39/197.43 [7847]~E(f341(f341(f137(x78471),x78472),x78474),f341(f341(f137(x78471),x78473),x78475))+E(f341(f341(f177(x78471),f341(f194(f883(x78471)),x78472)),x78473),x78472)+~P1(f341(f341(f241(a881),f341(f194(f883(x78471)),x78472)),f341(f194(f883(x78471)),x78473))) % 197.39/197.43 [7871]~P1(f341(f72(x78711),f341(x78714,x78715)))+~P1(f341(f341(f344(x78712),x78715),x78713))+P1(f341(f72(x78711),f341(f341(f43(x78712,f889(x78711,a874)),x78713),x78714))) % 197.39/197.43 [8052]~P46(x80521,x80523,x80525)+~P46(x80521,x80522,x80524)+P46(x80521,f341(f341(f125(f889(x80521,a874)),x80522),x80523),f341(f341(f125(f889(f888(x80521,x80521),a874)),x80524),x80525)) % 197.39/197.43 [8053]~P46(x80531,x80533,x80535)+~P46(x80531,x80532,x80534)+P46(x80531,f341(f341(f126(f889(x80531,a874)),x80532),x80533),f341(f341(f126(f889(f888(x80531,x80531),a874)),x80534),x80535)) % 197.39/197.43 [8138]E(x81381,x81382)+P1(f341(x81383,x81381))+~P1(f341(f341(f341(f341(a201,f32(x81383,x81384)),x81381),x81385),x81382)) % 197.39/197.43 [8406]E(f341(f341(f257(x84061,x84062),f341(f341(f169(x84061),x84063),x84064)),f341(f341(f169(x84062),x84065),x84064)),f341(f341(f169(f888(x84061,x84062)),f341(f341(f184(x84061,x84062),x84063),x84065)),x84064))+~P1(f341(f341(f242(a881),x84064),f341(f194(f883(x84061)),x84063)))+~P1(f341(f341(f242(a881),x84064),f341(f194(f883(x84062)),x84065))) % 197.39/197.43 [8573]~P46(x85731,x85733,x85734)+P1(f341(f341(f344(x85731),x85732),x85733))+~P1(f341(f341(f344(f888(x85731,x85731)),f341(f341(f257(x85731,x85731),x85735),x85732)),x85734)) % 197.39/197.43 [8574]~P46(x85741,x85743,x85744)+P1(f341(f341(f344(x85741),x85742),x85743))+~P1(f341(f341(f344(f888(x85741,x85741)),f341(f341(f257(x85741,x85741),x85742),x85745)),x85744)) % 197.39/197.43 [8575]~P11(x85751,x85753,x85754)+P1(f341(f341(f344(x85751),x85752),x85753))+~P1(f341(f341(f344(f888(x85751,x85751)),f341(f341(f257(x85751,x85751),x85755),x85752)),x85754)) % 197.39/197.43 [8576]~P11(x85761,x85763,x85764)+P1(f341(f341(f344(x85761),x85762),x85763))+~P1(f341(f341(f344(f888(x85761,x85761)),f341(f341(f257(x85761,x85761),x85762),x85765)),x85764)) % 197.39/197.43 [8849]~P11(x88491,x88495,x88492)+E(f341(f292(x88491,x88491,x88492),f341(f341(f318(x88491),x88493),f193(f889(x88491,a874)))),f341(f292(x88491,x88491,x88492),f341(f341(f318(x88491),x88494),f193(f889(x88491,a874)))))+~P1(f341(f341(f344(f888(x88491,x88491)),f341(f341(f257(x88491,x88491),x88493),x88494)),x88492)) % 197.39/197.43 [8933]~P1(f341(f341(f341(f341(a201,x89332),x89333),x89334),x89335))+~P1(f341(f341(f341(f341(a201,f32(x89331,x89332)),x89335),x89334),x89333))+P1(f341(f341(f341(f341(a201,f32(x89331,x89332)),x89333),x89334),x89333)) % 197.39/197.43 [9033]P1(f341(x90331,x90332))+~P1(f341(f341(f344(x90333),x90332),x90335))+P1(f341(f341(f344(x90333),f462(x90331,x90334,x90335,x90333)),f341(f341(f125(f889(x90333,a874)),x90335),x90334))) % 197.39/197.43 [9034]P1(f341(x90341,x90342))+~P1(f341(f341(f344(x90343),x90342),x90344))+P1(f341(f341(f344(x90343),f462(x90341,x90344,x90345,x90343)),f341(f341(f125(f889(x90343,a874)),x90345),x90344))) % 197.39/197.43 [9041]~P1(f341(x90412,x90415))+~P1(f341(f341(f344(x90411),x90415),x90414))+P1(f341(f341(f344(x90411),f460(x90412,x90413,x90414,x90411)),f341(f341(f125(f889(x90411,a874)),x90414),x90413))) % 197.39/197.43 [9042]~P1(f341(x90422,x90425))+~P1(f341(f341(f344(x90421),x90425),x90423))+P1(f341(f341(f344(x90421),f460(x90422,x90423,x90424,x90421)),f341(f341(f125(f889(x90421,a874)),x90424),x90423))) % 197.39/197.43 [9058]~P1(f341(f341(f241(f889(x90581,a874)),x90585),x90583))+~P1(f341(f341(f241(f889(x90581,a874)),x90582),x90584))+P1(f341(f341(f241(f889(x90581,a874)),f341(f341(f3(f889(x90581,a874)),x90582),x90583)),f341(f341(f3(f889(x90581,a874)),x90584),x90585))) % 197.39/197.43 [9059]~P1(f341(f341(f241(f889(x90591,a874)),x90593),x90595))+~P1(f341(f341(f241(f889(x90591,a874)),x90592),x90594))+P1(f341(f341(f241(f889(x90591,a874)),f341(f341(f125(f889(x90591,a874)),x90592),x90593)),f341(f341(f125(f889(x90591,a874)),x90594),x90595))) % 197.39/197.43 [9060]~P1(f341(f341(f241(f889(x90601,a874)),x90603),x90605))+~P1(f341(f341(f241(f889(x90601,a874)),x90602),x90604))+P1(f341(f341(f241(f889(x90601,a874)),f341(f341(f126(f889(x90601,a874)),x90602),x90603)),f341(f341(f126(f889(x90601,a874)),x90604),x90605))) % 197.39/197.43 [9149]P1(f341(f341(f344(f888(x91491,x91491)),f341(f341(f257(x91491,x91491),x91492),x91493)),f335(x91491,x91494,x91495)))+~P1(f341(f341(f241(a881),f341(x91494,x91492)),f341(x91494,x91493)))+~P1(f341(f341(f344(f888(x91491,x91491)),f341(f341(f257(x91491,x91491),x91492),x91493)),x91495)) % 197.39/197.43 [9330]P1(f341(f341(f344(f888(x93301,x93301)),f341(f341(f257(x93301,x93301),x93302),x93303)),f315(x93301,x93304)))+~P1(f341(f341(f344(f888(x93301,x93301)),f341(f341(f257(x93301,x93301),x93302),x93305)),f315(x93301,x93304)))+~P1(f341(f341(f344(f888(x93301,x93301)),f341(f341(f257(x93301,x93301),x93305),x93303)),x93304)) % 197.39/197.43 [9331]P1(f341(f341(f344(f888(x93311,x93311)),f341(f341(f257(x93311,x93311),x93312),x93313)),f315(x93311,x93314)))+~P1(f341(f341(f344(f888(x93311,x93311)),f341(f341(f257(x93311,x93311),x93315),x93313)),f315(x93311,x93314)))+~P1(f341(f341(f344(f888(x93311,x93311)),f341(f341(f257(x93311,x93311),x93312),x93315)),x93314)) % 197.39/197.43 [9424]E(x94241,x94242)+E(f341(a128,f361(x94243,x94244,x94241,x94242,x94245)),x94244)+~P1(f341(f341(f344(f888(x94245,x94245)),f341(f341(f257(x94245,x94245),x94242),x94241)),f341(f341(f186(f888(x94245,x94245),a874),x94244),x94243))) % 197.39/197.43 [9425]E(x94251,x94252)+E(f341(a128,f363(x94253,x94254,x94251,x94252,x94255)),x94254)+~P1(f341(f341(f344(f888(x94255,x94255)),f341(f341(f257(x94255,x94255),x94252),x94251)),f341(f341(f186(f888(x94255,x94255),a874),x94254),x94253))) % 197.39/197.43 [9426]E(x94261,f2(a881))+E(f341(a128,f361(x94262,x94261,x94263,x94264,x94265)),x94261)+~P1(f341(f341(f344(f888(x94265,x94265)),f341(f341(f257(x94265,x94265),x94264),x94263)),f341(f341(f186(f888(x94265,x94265),a874),x94261),x94262))) % 197.39/197.43 [9427]E(x94271,f2(a881))+E(f341(a128,f363(x94272,x94271,x94273,x94274,x94275)),x94271)+~P1(f341(f341(f344(f888(x94275,x94275)),f341(f341(f257(x94275,x94275),x94274),x94273)),f341(f341(f186(f888(x94275,x94275),a874),x94271),x94272))) % 197.39/197.43 [9447]P1(f341(f341(f344(f888(x94471,x94471)),f341(f341(f257(x94471,x94471),x94472),x94473)),f341(f341(f296(x94471,x94471,x94471),x94474),f315(x94471,x94474))))+~P1(f341(f341(f344(f888(x94471,x94471)),f341(f341(f257(x94471,x94471),x94472),x94475)),x94474))+~P1(f341(f341(f344(f888(x94471,x94471)),f341(f341(f257(x94471,x94471),x94475),x94473)),x94474)) % 197.39/197.43 [9457]~P1(f341(f341(f344(f888(x94571,x94571)),f341(f341(f257(x94571,x94571),x94572),x94575)),f315(x94571,x94574)))+P1(f341(f341(f344(f888(x94571,x94571)),f341(f341(f257(x94571,x94571),x94572),x94573)),f341(f341(f296(x94571,x94571,x94571),x94574),f315(x94571,x94574))))+~P1(f341(f341(f344(f888(x94571,x94571)),f341(f341(f257(x94571,x94571),x94575),x94573)),x94574)) % 197.39/197.43 [9494]~P11(x94941,x94945,x94942)+~P1(f341(f341(f344(f888(x94941,x94941)),f341(f341(f257(x94941,x94941),x94943),x94944)),x94942))+P1(f341(f341(f241(f889(x94941,a874)),f341(f292(x94941,x94941,x94942),f341(f341(f318(x94941),x94943),f193(f889(x94941,a874))))),f341(f292(x94941,x94941,x94942),f341(f341(f318(x94941),x94944),f193(f889(x94941,a874)))))) % 197.39/197.43 [9515]E(x95151,x95152)+P1(f341(f341(f341(f341(a201,x95153),x95151),x95154),f489(x95152,x95154,x95151,x95153,x95155)))+~P1(f341(f341(f341(f341(a201,f32(x95155,x95153)),x95151),x95154),x95152)) % 197.39/197.43 [9516]E(x95161,x95162)+P1(f341(f341(f341(f341(a201,x95163),x95161),x95164),f618(x95162,x95164,x95161,x95163,x95165)))+~P1(f341(f341(f341(f341(a201,f32(x95165,x95163)),x95161),x95164),x95162)) % 197.39/197.43 [9520]~P1(f341(x95205,x95202))+P1(f341(f341(f341(f341(a201,x95201),x95202),x95203),f489(x95204,x95203,x95202,x95201,x95205)))+~P1(f341(f341(f341(f341(a201,f32(x95205,x95201)),x95202),x95203),x95204)) % 197.39/197.43 [9521]~P1(f341(x95215,x95212))+P1(f341(f341(f341(f341(a201,x95211),x95212),x95213),f618(x95214,x95213,x95212,x95211,x95215)))+~P1(f341(f341(f341(f341(a201,f32(x95215,x95211)),x95212),x95213),x95214)) % 197.39/197.43 [9551]P1(f341(f341(f344(f888(x95511,x95511)),f341(f341(f257(x95511,x95511),x95512),x95513)),f341(f341(f296(x95511,x95511,x95511),x95514),f315(x95511,x95514))))+~P1(f341(f341(f344(f888(x95511,x95511)),f341(f341(f257(x95511,x95511),x95512),x95515)),f341(f341(f296(x95511,x95511,x95511),x95514),f315(x95511,x95514))))+~P1(f341(f341(f344(f888(x95511,x95511)),f341(f341(f257(x95511,x95511),x95515),x95513)),x95514)) % 197.39/197.43 [9552]P1(f341(f341(f344(f888(x95521,x95521)),f341(f341(f257(x95521,x95521),x95522),x95523)),f341(f341(f296(x95521,x95521,x95521),x95524),f315(x95521,x95524))))+~P1(f341(f341(f344(f888(x95521,x95521)),f341(f341(f257(x95521,x95521),x95525),x95523)),f341(f341(f296(x95521,x95521,x95521),x95524),f315(x95521,x95524))))+~P1(f341(f341(f344(f888(x95521,x95521)),f341(f341(f257(x95521,x95521),x95522),x95525)),x95524)) % 197.39/197.43 [9619]E(x96191,f193(f889(x96192,a874)))+~E(f341(f341(f317(x96193,x96192),x96195),x96194),x96191)+P1(f341(f341(f241(f889(x96193,a874)),f341(f341(f317(x96192,x96193),f685(x96194,x96193,x96192,x96191)),x96191)),x96194)) % 197.39/197.43 [9659]~P19(x96591,x96591,x96594,x96592,x96593,x96595)+P1(f341(f341(f344(x96591),x96592),x96593))+P1(f341(f73(x96591,x96594,f341(f341(f318(x96591),x96592),x96593)),x96595)) % 197.39/197.43 [9678]~P8(x96785)+P1(f341(f341(f344(x96781),f718(x96782,x96783,x96784,x96781,x96785)),x96784))+P1(f341(f341(f241(x96785),f341(f341(f42(x96781,x96785),x96784),x96783)),x96782)) % 197.39/197.43 [9731]P32(x97311,x97312,x97313,x97314,x97315)+~E(f341(f194(f883(x97311)),x97314),f341(f194(f883(x97312)),x97315))+P1(f341(f341(f344(f888(x97311,x97312)),f534(x97315,x97314,x97313,x97312,x97311)),f341(f176(f888(x97311,x97312)),f341(f341(f184(x97311,x97312),x97314),x97315)))) % 197.39/197.43 [9732]P32(x97321,x97322,x97323,x97324,x97325)+~E(f341(f194(f883(x97321)),x97324),f341(f194(f883(x97322)),x97325))+P1(f341(f341(f344(f888(x97321,x97322)),f539(x97323,x97325,x97324,x97322,x97321)),f341(f176(f888(x97321,x97322)),f341(f341(f184(x97321,x97322),x97324),x97325)))) % 197.39/197.43 [9845]E(x98451,x98452)+P1(f341(f341(f341(f341(a201,f32(x98453,x98454)),f489(x98451,x98455,x98452,x98454,x98453)),x98455),x98451))+~P1(f341(f341(f341(f341(a201,f32(x98453,x98454)),x98452),x98455),x98451)) % 197.39/197.43 [9846]E(x98461,x98462)+P1(f341(f341(f341(f341(a201,f32(x98463,x98464)),f618(x98461,x98465,x98462,x98464,x98463)),x98465),x98461))+~P1(f341(f341(f341(f341(a201,f32(x98463,x98464)),x98462),x98465),x98461)) % 197.39/197.43 [9847]~P1(f341(x98471,x98475))+P1(f341(f341(f341(f341(a201,f32(x98471,x98472)),f489(x98473,x98474,x98475,x98472,x98471)),x98474),x98473))+~P1(f341(f341(f341(f341(a201,f32(x98471,x98472)),x98475),x98474),x98473)) % 197.39/197.43 [9848]~P1(f341(x98481,x98485))+P1(f341(f341(f341(f341(a201,f32(x98481,x98482)),f618(x98483,x98484,x98485,x98482,x98481)),x98484),x98483))+~P1(f341(f341(f341(f341(a201,f32(x98481,x98482)),x98485),x98484),x98483)) % 197.39/197.43 [9853]E(x98531,x98532)+P1(f341(f341(f344(f888(x98533,x98533)),f341(f341(f257(x98533,x98533),x98531),f362(x98534,x98535,x98532,x98531,x98533))),x98534))+~P1(f341(f341(f344(f888(x98533,x98533)),f341(f341(f257(x98533,x98533),x98531),x98532)),f341(f341(f186(f888(x98533,x98533),a874),x98535),x98534))) % 197.39/197.43 [9854]E(x98541,f2(a881))+P1(f341(f341(f344(f888(x98542,x98542)),f341(f341(f257(x98542,x98542),x98543),f362(x98544,x98541,x98545,x98543,x98542))),x98544))+~P1(f341(f341(f344(f888(x98542,x98542)),f341(f341(f257(x98542,x98542),x98543),x98545)),f341(f341(f186(f888(x98542,x98542),a874),x98541),x98544))) % 197.39/197.43 [9888]~P8(x98881)+~P1(f341(f341(f241(x98881),f341(x98884,f718(x98885,x98884,x98883,x98882,x98881))),x98885))+P1(f341(f341(f241(x98881),f341(f341(f42(x98882,x98881),x98883),x98884)),x98885)) % 197.39/197.43 [9942]E(x99421,x99422)+P1(f341(f341(f344(f888(x99423,x99423)),f341(f341(f257(x99423,x99423),f365(x99424,x99425,x99421,x99422,x99423)),x99421)),x99424))+~P1(f341(f341(f344(f888(x99423,x99423)),f341(f341(f257(x99423,x99423),x99422),x99421)),f341(f341(f186(f888(x99423,x99423),a874),x99425),x99424))) % 197.39/197.43 [9943]E(x99431,f2(a881))+P1(f341(f341(f344(f888(x99432,x99432)),f341(f341(f257(x99432,x99432),f365(x99433,x99431,x99434,x99435,x99432)),x99434)),x99433))+~P1(f341(f341(f344(f888(x99432,x99432)),f341(f341(f257(x99432,x99432),x99435),x99434)),f341(f341(f186(f888(x99432,x99432),a874),x99431),x99433))) % 197.39/197.43 [9947]E(x99471,x99472)+P1(f341(f341(f344(f888(x99473,x99473)),f341(f341(f257(x99473,x99473),x99471),f365(x99474,x99475,x99472,x99471,x99473))),f341(f341(f186(f888(x99473,x99473),a874),f363(x99474,x99475,x99472,x99471,x99473)),x99474)))+~P1(f341(f341(f344(f888(x99473,x99473)),f341(f341(f257(x99473,x99473),x99471),x99472)),f341(f341(f186(f888(x99473,x99473),a874),x99475),x99474))) % 197.39/197.43 [9948]E(x99481,f2(a881))+P1(f341(f341(f344(f888(x99482,x99482)),f341(f341(f257(x99482,x99482),x99483),f365(x99484,x99481,x99485,x99483,x99482))),f341(f341(f186(f888(x99482,x99482),a874),f363(x99484,x99481,x99485,x99483,x99482)),x99484)))+~P1(f341(f341(f344(f888(x99482,x99482)),f341(f341(f257(x99482,x99482),x99483),x99485)),f341(f341(f186(f888(x99482,x99482),a874),x99481),x99484))) % 197.39/197.43 [10002]E(x100021,x100022)+P1(f341(f341(f344(f888(x100023,x100023)),f341(f341(f257(x100023,x100023),f362(x100024,x100025,x100021,x100022,x100023)),x100021)),f341(f341(f186(f888(x100023,x100023),a874),f361(x100024,x100025,x100021,x100022,x100023)),x100024)))+~P1(f341(f341(f344(f888(x100023,x100023)),f341(f341(f257(x100023,x100023),x100022),x100021)),f341(f341(f186(f888(x100023,x100023),a874),x100025),x100024))) % 197.39/197.43 [10003]E(x100031,f2(a881))+P1(f341(f341(f344(f888(x100032,x100032)),f341(f341(f257(x100032,x100032),f362(x100033,x100031,x100034,x100035,x100032)),x100034)),f341(f341(f186(f888(x100032,x100032),a874),f361(x100033,x100031,x100034,x100035,x100032)),x100033)))+~P1(f341(f341(f344(f888(x100032,x100032)),f341(f341(f257(x100032,x100032),x100035),x100034)),f341(f341(f186(f888(x100032,x100032),a874),x100031),x100033))) % 197.39/197.43 [10068]~P70(x100682)+~P1(f341(f72(x100681),x100685))+E(f341(f341(f8(x100681,x100682),f341(f341(f9(x100681,x100682,x100682),f341(f341(f20(x100681,x100682,f889(x100682,x100682)),f341(f341(f10(a874,f889(x100682,f889(x100682,x100682)),x100681),f111(x100682)),f341(f341(f9(x100681,f889(x100681,a874),a874),f344(x100681)),x100683))),x100684)),f2(x100682))),x100685),f341(f341(f8(x100681,x100682),x100684),f341(f341(f126(f889(x100681,a874)),x100685),x100683))) % 197.39/197.43 [8638]~P70(x86381)+~P1(f341(f72(x86384),x86385))+E(f341(f341(f91(x86381),f341(x86382,x86383)),f341(f341(f8(x86384,x86381),x86382),f341(f341(f3(f889(x86384,a874)),x86385),f341(f341(f318(x86384),x86383),f193(f889(x86384,a874)))))),f341(f341(f8(x86384,x86381),x86382),f341(f341(f318(x86384),x86383),x86385))) % 197.39/197.43 [8639]~P72(x86391)+~P1(f341(f72(x86394),x86395))+E(f341(f341(f92(x86391),f341(x86392,x86393)),f341(f341(f11(x86394,x86391),x86392),f341(f341(f3(f889(x86394,a874)),x86395),f341(f341(f318(x86394),x86393),f193(f889(x86394,a874)))))),f341(f341(f11(x86394,x86391),x86392),f341(f341(f318(x86394),x86393),x86395))) % 197.39/197.43 [8967]~P101(x89672)+~P16(x89672,f341(f173(x89672),f341(f341(f159(x89671,x89672),x89674),x89675)))+E(f341(f141(x89671,f341(f341(f10(x89672,a874,x89671),f341(f242(x89672),x89673)),x89674)),x89675),f180(x89671,f341(f341(f10(x89672,a874,x89671),f341(f242(x89672),x89673)),x89674),x89675)) % 197.39/197.43 [8994]~P70(x89941)+E(f341(f341(f91(x89941),f341(f341(f8(a881,x89941),x89942),f310(a881,x89943,x89944))),f341(f341(f8(a881,x89941),x89942),f310(a881,f341(f341(f91(a881),x89944),f89(a881)),f341(f341(f91(a881),x89944),x89945)))),f341(f341(f8(a881,x89941),x89942),f310(a881,x89943,f341(f341(f91(a881),x89944),x89945))))+~P1(f341(f341(f241(a881),x89943),f341(f341(f91(a881),x89944),f89(a881)))) % 197.39/197.43 [8995]~P1(f341(f341(f344(x89951),x89954),x89955))+~P1(f341(f341(f241(f889(x89951,a874)),f341(f176(x89951),x89952)),x89955))+P1(f341(f341(f241(f889(x89951,a874)),f341(f176(x89951),f341(f341(f164(x89951,x89952),x89953),x89954))),x89955)) % 197.39/197.43 [9264]E(f341(x92641,x92642),f341(x92641,x92643))+P1(f341(f341(f242(a881),f341(x92641,x92642)),f341(x92641,x92643)))+~P1(f341(f341(f344(f888(x92644,x92644)),f341(f341(f257(x92644,x92644),x92642),x92643)),f158(x92644,f341(f341(f156(f889(x92644,a881)),x92641),x92645)))) % 197.39/197.43 [9291]~E(f341(x92914,x92912),f341(x92914,x92913))+~P1(f341(f341(f344(f888(x92911,x92911)),f341(f341(f257(x92911,x92911),x92912),x92913)),f158(x92911,x92915)))+P1(f341(f341(f344(f888(x92911,x92911)),f341(f341(f257(x92911,x92911),x92912),x92913)),f158(x92911,f341(f341(f156(f889(x92911,a881)),x92914),x92915)))) % 197.39/197.43 [9300]~P18(x93001,x93002,x93003,x93005)+P18(x93001,x93002,x93003,f341(f341(f318(x93001),x93004),x93005))+P1(f341(f341(f344(x93002),f341(x93003,x93004)),f341(f341(f317(x93001,x93002),x93003),f341(f341(f3(f889(x93001,a874)),x93005),f341(f341(f318(x93001),x93004),f193(f889(x93001,a874))))))) % 197.39/197.43 [9316]P1(f341(x93162,x93165))+~P1(f341(f341(f344(x93161),x93165),f341(f176(x93161),x93163)))+E(f341(f341(f143(x93161),f341(f194(f883(x93161)),f180(x93161,x93162,f341(f341(f137(x93161),x93163),x93164)))),f341(f341(f137(x93161),x93163),x93164)),f341(f341(f137(x93161),f341(f341(f143(x93161),f341(f194(f883(x93161)),f180(x93161,x93162,x93163))),x93163)),x93164)) % 197.39/197.43 [9319]~P1(f341(f341(f344(f888(x93191,x93191)),f341(f341(f257(x93191,x93191),x93192),x93193)),f158(x93191,x93195)))+~P1(f341(f341(f241(a881),f341(x93194,x93192)),f341(x93194,x93193)))+P1(f341(f341(f344(f888(x93191,x93191)),f341(f341(f257(x93191,x93191),x93192),x93193)),f158(x93191,f341(f341(f156(f889(x93191,a881)),x93194),x93195)))) % 197.39/197.43 [9376]P1(f341(f341(f344(f888(x93764,x93764)),f341(f341(f257(x93764,x93764),x93762),x93763)),f158(x93764,x93765)))+P1(f341(f341(f242(a881),f341(x93761,x93762)),f341(x93761,x93763)))+~P1(f341(f341(f344(f888(x93764,x93764)),f341(f341(f257(x93764,x93764),x93762),x93763)),f158(x93764,f341(f341(f156(f889(x93764,a881)),x93761),x93765)))) % 197.39/197.43 [9524]~P1(f341(f341(f344(f888(f883(x95241),f883(x95241))),f341(f341(f257(f883(x95241),f883(x95241)),x95242),x95244)),f163(x95241,x95245)))+~P1(f341(f341(f242(a881),x95243),f341(f194(f883(x95241)),x95242)))+P1(f341(f341(f344(f888(x95241,x95241)),f341(f341(f257(x95241,x95241),f341(f341(f169(x95241),x95242),x95243)),f341(f341(f169(x95241),x95244),x95243))),x95245)) % 197.39/197.43 [9748]E(x97481,f2(a1))+~P1(f341(f61(x97483,x97481),f341(f341(f257(a1,a1),x97484),x97485)))+P1(f341(f61(f341(f341(f92(a1),x97482),x97483),x97481),f341(f341(f257(a1,a1),f341(f341(f91(a1),f341(f341(f92(a1),x97482),x97484)),f341(f341(f38(a1),f341(f341(f92(a1),x97482),x97485)),x97481))),f57(a1,f341(f341(f92(a1),x97482),x97485),x97481)))) % 197.39/197.43 [9750]~P1(f341(f341(f242(a881),f2(a881)),x97503))+~P1(f341(f60(x97502,x97503),f341(f341(f257(a881,a881),x97504),x97505)))+P1(f341(f60(f341(f341(f92(a881),x97501),x97502),x97503),f341(f341(f257(a881,a881),f341(f341(f91(a881),f341(f341(f92(a881),x97501),x97504)),f341(f341(f38(a881),f341(f341(f92(a881),x97501),x97505)),x97503))),f57(a881,f341(f341(f92(a881),x97501),x97505),x97503)))) % 197.39/197.43 [10097]~P70(x100972)+~P1(f341(f72(x100971),x100974))+E(f341(f341(f8(x100971,x100972),x100973),f341(f267(x100971),f341(f341(f20(x100971,a874,a874),f341(f341(f10(a874,f889(a874,a874),x100971),a339),f341(f341(f9(x100971,f889(x100971,a874),a874),f344(x100971)),x100974))),f341(f341(f9(x100971,f889(x100971,a874),a874),f344(x100971)),x100975)))),f341(f341(f8(x100971,x100972),f341(f341(f9(x100971,x100972,x100972),f341(f341(f20(x100971,x100972,f889(x100972,x100972)),f341(f341(f10(a874,f889(x100972,f889(x100972,x100972)),x100971),f111(x100972)),f341(f341(f9(x100971,f889(x100971,a874),a874),f344(x100971)),x100975))),x100973)),f2(x100972))),x100974)) % 197.39/197.43 [8257]~E(f341(f341(f137(x82571),x82572),x82575),f341(f341(f137(x82571),x82573),x82574))+E(f341(f341(f137(x82571),f341(f341(f143(x82571),f341(f194(f883(x82571)),x82572)),x82573)),x82574),x82575)+P1(f341(f341(f241(a881),f341(f194(f883(x82571)),x82573)),f341(f194(f883(x82571)),x82572))) % 197.39/197.43 [8464]~E(f341(f341(f137(x84642),x84643),x84641),f341(f341(f137(x84642),x84644),x84645))+E(x84641,f341(f341(f137(x84642),f341(f341(f143(x84642),f341(f194(f883(x84642)),x84643)),x84644)),x84645))+~P1(f341(f341(f241(a881),f341(f194(f883(x84642)),x84643)),f341(f194(f883(x84642)),x84644))) % 197.39/197.43 [8553]~E(f341(f341(f91(a881),f341(f341(f92(a881),x85533),x85534)),x85531),f341(f341(f91(a881),f341(f341(f92(a881),x85532),x85534)),x85535))+~P1(f341(f341(f241(a881),x85533),x85532))+E(x85531,f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x85532),x85533)),x85534)),x85535)) % 197.39/197.43 [8554]~E(f341(f341(f91(a881),f341(f341(f92(a881),x85541),x85543)),x85544),f341(f341(f91(a881),f341(f341(f92(a881),x85542),x85543)),x85545))+~P1(f341(f341(f241(a881),x85542),x85541))+E(f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x85541),x85542)),x85543)),x85544),x85545) % 197.39/197.43 [8712]E(f341(f341(f91(a881),f341(f341(f92(a881),x87121),x87122)),x87123),f341(f341(f91(a881),f341(f341(f92(a881),x87124),x87122)),x87125))+~P1(f341(f341(f241(a881),x87124),x87121))+~E(x87125,f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x87121),x87124)),x87122)),x87123)) % 197.39/197.43 [8713]E(f341(f341(f91(a881),f341(f341(f92(a881),x87131),x87132)),x87133),f341(f341(f91(a881),f341(f341(f92(a881),x87134),x87132)),x87135))+~P1(f341(f341(f241(a881),x87134),x87131))+~E(f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x87131),x87134)),x87132)),x87133),x87135) % 197.39/197.43 [9088]~P1(f341(f341(f294(a1),x90881),x90884))+~P1(f341(f341(f294(a1),x90881),f341(f341(f91(a1),x90882),x90885)))+P1(f341(f341(f294(a1),x90881),f341(f341(f91(a1),f341(f341(f91(a1),x90882),f341(f341(f92(a1),x90883),x90884))),x90885))) % 197.39/197.43 [9313]~P1(f341(f341(f294(a1),x93131),x93134))+P1(f341(f341(f294(a1),x93131),f341(f341(f91(a1),x93132),x93133)))+~P1(f341(f341(f294(a1),x93131),f341(f341(f91(a1),f341(f341(f91(a1),x93132),f341(f341(f92(a1),x93135),x93134))),x93133))) % 197.39/197.43 [9574]~P63(x95742)+~P1(f341(f72(x95741),x95745))+E(f341(f341(f11(x95741,x95742),f341(f341(f20(x95741,x95742,x95742),f341(f341(f10(x95742,f889(x95742,x95742),x95741),f298(x95742)),x95743)),x95744)),x95745),f341(f341(f298(x95742),f341(f341(f11(x95741,x95742),x95743),x95745)),f341(f341(f11(x95741,x95742),x95744),x95745))) % 197.39/197.43 [10194]~P1(f341(f341(f344(f888(f883(x101941),f883(x101941))),f341(f341(f257(f883(x101941),f883(x101941)),x101944),x101945)),f163(x101941,x101942)))+~P1(f341(f341(f344(f888(x101941,x101941)),x101943),f341(f176(f888(x101941,x101941)),f341(f341(f184(x101941,x101941),x101944),x101945))))+P1(f341(f341(f262(x101941,x101941,a874),f341(f341(f9(x101941,f889(f888(x101941,x101941),a874),f889(x101941,a874)),f341(f341(f10(f889(x101941,f889(f889(f888(x101941,x101941),a874),a874)),f889(f889(f888(x101941,x101941),a874),f889(x101941,a874)),x101941),f9(x101941,f889(f888(x101941,x101941),a874),a874)),f341(f341(f10(f889(x101941,f888(x101941,x101941)),f889(x101941,f889(f889(f888(x101941,x101941),a874),a874)),x101941),f341(f10(f888(x101941,x101941),f889(f889(f888(x101941,x101941),a874),a874),x101941),f344(f888(x101941,x101941)))),f257(x101941,x101941)))),x101942)),x101943)) % 197.39/197.43 [9599]~P1(f341(f341(f241(a881),x95993),x95992))+~P1(f341(f341(f242(a881),f341(f341(f91(a881),f341(f341(f92(a881),x95993),x95994)),x95991)),f341(f341(f91(a881),f341(f341(f92(a881),x95992),x95994)),x95995)))+P1(f341(f341(f242(a881),x95991),f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x95992),x95993)),x95994)),x95995))) % 197.39/197.43 [9600]~P1(f341(f341(f241(a881),x96003),x96002))+~P1(f341(f341(f241(a881),f341(f341(f91(a881),f341(f341(f92(a881),x96003),x96004)),x96001)),f341(f341(f91(a881),f341(f341(f92(a881),x96002),x96004)),x96005)))+P1(f341(f341(f241(a881),x96001),f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x96002),x96003)),x96004)),x96005))) % 197.39/197.43 [9617]~P1(f341(f341(f241(a881),x96171),x96174))+P1(f341(f341(f242(a881),f341(f341(f91(a881),f341(f341(f92(a881),x96171),x96172)),x96173)),f341(f341(f91(a881),f341(f341(f92(a881),x96174),x96172)),x96175)))+~P1(f341(f341(f242(a881),x96173),f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x96174),x96171)),x96172)),x96175))) % 197.39/197.43 [9618]~P1(f341(f341(f241(a881),x96181),x96184))+P1(f341(f341(f241(a881),f341(f341(f91(a881),f341(f341(f92(a881),x96181),x96182)),x96183)),f341(f341(f91(a881),f341(f341(f92(a881),x96184),x96182)),x96185)))+~P1(f341(f341(f241(a881),x96183),f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x96184),x96181)),x96182)),x96185))) % 197.39/197.43 [9729]~P1(f341(f341(f241(a881),x97292),x97291))+~P1(f341(f341(f242(a881),f341(f341(f91(a881),f341(f341(f92(a881),x97291),x97293)),x97294)),f341(f341(f91(a881),f341(f341(f92(a881),x97292),x97293)),x97295)))+P1(f341(f341(f242(a881),f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x97291),x97292)),x97293)),x97294)),x97295)) % 197.39/197.43 [9730]~P1(f341(f341(f241(a881),x97302),x97301))+~P1(f341(f341(f241(a881),f341(f341(f91(a881),f341(f341(f92(a881),x97301),x97303)),x97304)),f341(f341(f91(a881),f341(f341(f92(a881),x97302),x97303)),x97305)))+P1(f341(f341(f241(a881),f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x97301),x97302)),x97303)),x97304)),x97305)) % 197.39/197.43 [9771]~P1(f341(f341(f241(a881),x97714),x97711))+P1(f341(f341(f242(a881),f341(f341(f91(a881),f341(f341(f92(a881),x97711),x97712)),x97713)),f341(f341(f91(a881),f341(f341(f92(a881),x97714),x97712)),x97715)))+~P1(f341(f341(f242(a881),f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x97711),x97714)),x97712)),x97713)),x97715)) % 197.39/197.43 [9772]~P1(f341(f341(f241(a881),x97724),x97721))+P1(f341(f341(f241(a881),f341(f341(f91(a881),f341(f341(f92(a881),x97721),x97722)),x97723)),f341(f341(f91(a881),f341(f341(f92(a881),x97724),x97722)),x97725)))+~P1(f341(f341(f241(a881),f341(f341(f91(a881),f341(f341(f92(a881),f341(f341(f3(a881),x97721),x97724)),x97722)),x97723)),x97725)) % 197.39/197.43 [9997]~P14(x99971,x99972,x99975,x99973)+~P1(f341(f341(f344(f888(x99971,x99971)),x99974),x99975))+P1(f341(f341(f262(x99971,x99971,a874),f341(f341(f9(x99971,f889(x99971,x99972),f889(x99971,a874)),f341(f341(f10(f889(x99972,a874),f889(f889(x99971,x99972),f889(x99971,a874)),x99971),f10(x99972,a874,x99971)),f341(f341(f10(x99972,f889(x99972,a874),x99971),a338),x99973))),x99973)),x99974)) % 197.39/197.43 [10017]~P105(x100171)+~P35(x100171,f889(x100172,a874),x100173)+P35(x100171,f889(x100172,a874),f341(f341(f9(x100171,f889(x100172,a874),f889(x100172,a874)),f341(f341(f10(f889(x100172,a874),f889(f889(x100172,a874),f889(x100172,a874)),x100171),f125(f889(x100172,a874))),f341(f341(f9(x100171,f889(x100172,a874),f889(x100172,a874)),f341(f341(f10(f889(x100172,a874),f889(f889(x100172,a874),f889(x100172,a874)),x100171),f125(f889(x100172,a874))),x100173)),x100174))),x100175)) % 197.39/197.43 [7930]~P23(x79306,x79301,x79302,x79304)+E(f341(f341(f82(x79301,x79301,x79301),f341(x79302,x79303)),f341(x79304,x79305)),f341(f341(f82(x79301,x79301,x79301),f341(x79304,x79305)),f341(x79302,x79303)))+~P1(f341(f72(x79306),x79305)) % 197.39/197.43 [9410]~P1(f341(f341(x94103,x94102),x94106))+~P1(f341(f341(x94104,x94105),x94102))+P1(f341(f341(f344(x94101),x94102),f307(x94101,x94103,x94104,x94105,x94106))) % 197.39/197.43 [9411]~P1(f341(f341(x94114,x94112),x94116))+~P1(f341(f341(x94113,x94115),x94112))+P1(f341(f341(f344(x94111),x94112),f304(x94111,x94113,x94114,x94115,x94116))) % 197.39/197.43 [9525]E(x95251,x95252)+E(x95253,x95254)+~P1(f341(f341(f344(f888(f883(x95255),f883(x95255))),f341(f341(f257(f883(x95255),f883(x95255)),f341(f341(f156(x95255),x95253),x95251)),f341(f341(f156(x95255),x95254),x95252))),f162(x95255,x95256))) % 197.39/197.43 [9534]~E(x95342,x95344)+P1(f341(f341(f344(f888(f883(x95341),f883(x95341))),f341(f341(f257(f883(x95341),f883(x95341)),f341(f341(f137(x95341),x95342),x95343)),f341(f341(f137(x95341),x95344),x95345))),f162(x95341,x95346)))+~P1(f341(f341(f344(f888(f883(x95341),f883(x95341))),f341(f341(f257(f883(x95341),f883(x95341)),x95343),x95345)),f162(x95341,x95346))) % 197.39/197.43 [9535]~E(x95352,x95354)+P1(f341(f341(f344(f888(f883(x95351),f883(x95351))),f341(f341(f257(f883(x95351),f883(x95351)),f341(f341(f156(x95351),x95352),x95353)),f341(f341(f156(x95351),x95354),x95355))),f150(x95351,x95356)))+~P1(f341(f341(f344(f888(f883(x95351),f883(x95351))),f341(f341(f257(f883(x95351),f883(x95351)),x95353),x95355)),f150(x95351,x95356))) % 197.39/197.43 [9536]~E(x95362,x95364)+P1(f341(f341(f344(f888(f883(x95361),f883(x95361))),f341(f341(f257(f883(x95361),f883(x95361)),f341(f341(f156(x95361),x95362),x95363)),f341(f341(f156(x95361),x95364),x95365))),f152(x95361,x95366)))+~P1(f341(f341(f344(f888(f883(x95361),f883(x95361))),f341(f341(f257(f883(x95361),f883(x95361)),x95363),x95365)),f152(x95361,x95366))) % 197.39/197.43 [9537]~E(x95372,x95374)+P1(f341(f341(f344(f888(f883(x95371),f883(x95371))),f341(f341(f257(f883(x95371),f883(x95371)),f341(f341(f156(x95371),x95372),x95373)),f341(f341(f156(x95371),x95374),x95375))),f162(x95371,x95376)))+~P1(f341(f341(f344(f888(f883(x95371),f883(x95371))),f341(f341(f257(f883(x95371),f883(x95371)),x95373),x95375)),f162(x95371,x95376))) % 197.39/197.43 [9538]~E(x95383,x95385)+P1(f341(f341(f344(f888(f883(x95381),f883(x95381))),f341(f341(f257(f883(x95381),f883(x95381)),f341(f341(f137(x95381),x95382),x95383)),f341(f341(f137(x95381),x95384),x95385))),f162(x95381,x95386)))+~P1(f341(f341(f344(f888(f883(x95381),f883(x95381))),f341(f341(f257(f883(x95381),f883(x95381)),x95382),x95384)),f162(x95381,x95386))) % 197.39/197.43 [9589]E(x95891,x95892)+P1(f341(f341(f344(f888(f883(x95893),f883(x95893))),f341(f341(f257(f883(x95893),f883(x95893)),x95891),x95892)),f162(x95893,x95894)))+~P1(f341(f341(f344(f888(f883(x95893),f883(x95893))),f341(f341(f257(f883(x95893),f883(x95893)),f341(f341(f156(x95893),x95895),x95891)),f341(f341(f156(x95893),x95896),x95892))),f162(x95893,x95894))) % 197.39/197.43 [9733]~E(x97333,x97335)+P1(f341(f341(f344(f888(f883(x97331),f883(x97331))),f341(f341(f257(f883(x97331),f883(x97331)),f341(f341(f137(x97331),x97332),f341(f341(f156(x97331),x97333),f129(x97331)))),f341(f341(f137(x97331),x97334),f341(f341(f156(x97331),x97335),f129(x97331))))),f162(x97331,x97336)))+~P1(f341(f341(f344(f888(f883(x97331),f883(x97331))),f341(f341(f257(f883(x97331),f883(x97331)),x97332),x97334)),f162(x97331,x97336))) % 197.39/197.43 [9774]E(x97741,x97742)+E(x97743,x97744)+~P1(f341(f341(f344(f888(f883(x97745),f883(x97745))),f341(f341(f257(f883(x97745),f883(x97745)),f341(f341(f137(x97745),x97743),f341(f341(f156(x97745),x97741),f129(x97745)))),f341(f341(f137(x97745),x97744),f341(f341(f156(x97745),x97742),f129(x97745))))),f162(x97745,x97746))) % 197.39/197.43 [9797]E(x97971,x97972)+~P1(f341(f341(f344(f888(f883(x97973),f883(x97973))),f341(f341(f257(f883(x97973),f883(x97973)),f341(f341(f137(x97973),x97971),f341(f341(f156(x97973),x97975),f129(x97973)))),f341(f341(f137(x97973),x97972),f341(f341(f156(x97973),x97976),f129(x97973))))),f162(x97973,x97974)))+P1(f341(f341(f344(f888(f883(x97973),f883(x97973))),f341(f341(f257(f883(x97973),f883(x97973)),x97971),x97972)),f162(x97973,x97974))) % 197.39/197.43 [9830]~P1(f341(f341(f344(f888(f889(x98301,a874),f889(x98301,a874))),f341(f341(f257(f889(x98301,a874),f889(x98301,a874)),x98302),x98304)),f332(x98301,x98306)))+~P1(f341(f341(f344(f888(f889(x98301,a874),f889(x98301,a874))),f341(f341(f257(f889(x98301,a874),f889(x98301,a874)),x98303),x98305)),f332(x98301,x98306)))+P1(f341(f341(f344(f888(f889(x98301,a874),f889(x98301,a874))),f341(f341(f257(f889(x98301,a874),f889(x98301,a874)),f341(f341(f125(f889(x98301,a874)),x98302),x98303)),f341(f341(f125(f889(x98301,a874)),x98304),x98305))),f332(x98301,x98306))) % 197.39/197.43 [5624]~E(f341(f341(f137(x56241),x56246),x56243),x56245)+E(f341(f341(f137(x56241),x56242),x56243),f341(f341(f137(x56241),x56244),x56245))+~E(x56242,f341(f341(f137(x56241),x56244),x56246)) % 197.39/197.43 [5626]~E(f341(f341(f137(x56261),x56262),x56266),x56264)+E(f341(f341(f137(x56261),x56262),x56263),f341(f341(f137(x56261),x56264),x56265))+~E(x56263,f341(f341(f137(x56261),x56266),x56265)) % 197.39/197.43 [5627]~E(f341(f341(f137(x56271),x56276),x56275),x56273)+E(f341(f341(f156(x56271),x56272),x56273),f341(f341(f137(x56271),x56274),x56275))+~E(x56274,f341(f341(f156(x56271),x56272),x56276)) % 197.39/197.43 [5629]~E(f341(f341(f156(x56291),x56292),x56296),x56294)+E(f341(f341(f156(x56291),x56292),x56293),f341(f341(f137(x56291),x56294),x56295))+~E(x56293,f341(f341(f137(x56291),x56296),x56295)) % 197.39/197.43 [6802]E(f341(x68021,x68022),f341(x68023,x68022))+~E(f341(f341(f159(x68024,x68025),x68021),x68026),f341(f341(f159(x68024,x68025),x68023),x68026))+~P1(f341(f341(f344(x68024),x68022),f341(f176(x68024),x68026))) % 197.39/197.43 [7260]~E(f341(x72604,x72602),x72606)+~P1(f341(f341(f344(x72603),x72606),x72605))+P1(f341(f341(f344(x72601),x72602),f341(f320(x72601,x72603,x72604),x72605))) % 197.39/197.43 [7710]~P30(x77101,x77102,x77104,x77106)+P30(x77101,x77102,f341(f341(f156(x77101),x77103),x77104),f341(f341(f156(x77101),x77105),x77106))+~P1(f341(f341(x77102,x77103),x77105)) % 197.39/197.43 [8560]~P18(x85601,x85603,x85605,x85606)+~P18(x85603,x85602,x85604,f341(f341(f317(x85601,x85603),x85605),x85606))+P18(x85601,x85602,f341(f341(f82(x85603,x85602,x85601),x85604),x85605),x85606) % 197.39/197.43 [8720]~P55(x87204,x87205,x87201,x87202,x87206)+E(f341(x87201,f341(x87202,x87203)),x87203)+~P1(f341(f341(f344(x87205),x87203),x87206)) % 197.39/197.43 [9527]E(x95271,x95272)+E(f341(f194(f883(x95273)),x95274),f341(f194(f883(x95273)),x95275))+~P1(f341(f341(f344(f888(f883(x95273),f883(x95273))),f341(f341(f257(f883(x95273),f883(x95273)),f341(f341(f156(x95273),x95271),x95274)),f341(f341(f156(x95273),x95272),x95275))),f150(x95273,x95276))) % 197.39/197.43 [9592]E(f341(f194(f883(x95921)),x95922),f341(f194(f883(x95921)),x95923))+P1(f341(f341(f344(f888(f883(x95921),f883(x95921))),f341(f341(f257(f883(x95921),f883(x95921)),x95922),x95923)),f150(x95921,x95924)))+~P1(f341(f341(f344(f888(f883(x95921),f883(x95921))),f341(f341(f257(f883(x95921),f883(x95921)),f341(f341(f156(x95921),x95925),x95922)),f341(f341(f156(x95921),x95926),x95923))),f150(x95921,x95924))) % 197.39/197.43 [9609]~P1(f341(f341(f344(f888(x96091,x96091)),f341(f341(f257(x96091,x96091),x96092),x96094)),f315(x96091,x96096)))+P1(f341(f341(f344(f888(f883(x96091),f883(x96091))),f341(f341(f257(f883(x96091),f883(x96091)),f341(f341(f156(x96091),x96092),x96093)),f341(f341(f156(x96091),x96094),x96095))),f315(f883(x96091),f162(x96091,x96096))))+~P1(f341(f341(f344(f888(f883(x96091),f883(x96091))),f341(f341(f257(f883(x96091),f883(x96091)),x96093),x96095)),f315(f883(x96091),f162(x96091,x96096)))) % 197.39/197.43 [9777]~P10(x97774,x97775)+P1(f341(x97771,f341(x97772,x97773)))+~P1(f341(x97771,f341(f827(x97773,x97771,x97776,x97775,x97774),x97773))) % 197.39/197.43 [9995]~P10(x99954,x99956)+P1(f341(x99951,f341(x99952,x99953)))+P1(f341(f341(f344(f889(x99954,x99954)),f827(x99953,x99951,x99955,x99956,x99954)),f277(f889(x99954,x99954),f276(x99954,x99954,x99954,x99954,x99955,x99956)))) % 197.39/197.43 [10168]~P47(x101686,x101685,x101684,x101683,x101682)+P1(f341(x101681,f547(x101681,x101682,x101683,x101684,x101685,x101686)))+~P1(f341(f341(f87(f889(x101685,a874),f889(x101686,a874),a874,a874,f87(x101686,x101685,a874,a874,x101683,f34(a874)),f34(a874)),f279(x101686,x101684)),x101681)) % 197.39/197.43 [6858]~P101(x68583)+P1(f341(x68582,x68585))+E(f341(f141(x68581,x68582),f341(f341(f154(x68581,x68583,x68584),x68585),x68586)),f341(f141(x68581,x68582),x68586)) % 197.39/197.43 [6862]P1(f341(x68621,x68622))+~E(f171(x68623,x68621,x68624),f341(f341(f257(f883(x68623),f883(x68623)),x68625),x68626))+~P1(f341(f341(f344(x68623),x68622),f341(f176(x68623),x68625))) % 197.39/197.43 [6913]~P1(f341(x69132,x69136))+~E(f171(x69131,x69132,x69133),f341(f341(f257(f883(x69131),f883(x69131)),x69134),x69135))+~P1(f341(f341(f344(x69131),x69136),f341(f176(x69131),x69135))) % 197.39/197.43 [6967]~E(x69672,f341(x69674,x69676))+~P1(f341(f341(f344(x69673),x69676),x69675))+P1(f341(f341(f344(x69671),x69672),f341(f341(f317(x69673,x69671),x69674),x69675))) % 197.39/197.43 [7538]~P24(x75382,x75385,x75386,x75381)+~P1(f341(f72(x75382),x75384))+E(f341(x75381,f341(f341(f318(x75382),x75383),x75384)),f341(f341(f82(x75385,x75385,x75385),f341(x75381,x75384)),f341(x75386,x75383))) % 197.39/197.43 [7624]~P101(x76242)+~P1(f341(f341(f241(x76242),f341(x76243,x76244)),f341(x76243,x76245)))+E(f341(f341(f154(x76241,x76242,x76243),x76244),f341(f341(f156(x76241),x76245),x76246)),f341(f341(f156(x76241),x76244),f341(f341(f156(x76241),x76245),x76246))) % 197.39/197.43 [7738]E(x77381,x77382)+~E(f341(f341(f259(x77383,x77384),x77381),f341(f18(f889(x77384,a874),x77383),x77385)),f341(f341(f259(x77383,x77384),x77382),f341(f18(f889(x77384,a874),x77383),x77385)))+~P1(f341(f341(f344(x77384),x77386),x77385)) % 197.39/197.43 [8021]~P101(x80212)+P1(f341(f341(f241(x80212),f341(x80213,x80214)),f341(x80213,x80215)))+E(f341(f341(f154(x80211,x80212,x80213),x80214),f341(f341(f156(x80211),x80215),x80216)),f341(f341(f156(x80211),x80215),f341(f341(f154(x80211,x80212,x80213),x80214),x80216))) % 197.39/197.43 [8116]~E(x81162,f341(f341(f317(x81163,x81161),x81164),x81166))+~P1(f341(f341(f241(f889(x81163,a874)),x81166),x81165))+P1(f341(f341(f241(f889(x81161,a874)),x81162),f341(f341(f317(x81163,x81161),x81164),x81165))) % 197.39/197.43 [8167]~E(f341(f194(f883(x81671)),x81675),f341(f194(f883(x81672)),x81676))+~E(f341(f194(f883(x81671)),x81673),f341(f194(f883(x81672)),x81674))+E(f341(f341(f137(f888(x81671,x81672)),f341(f341(f184(x81671,x81672),x81673),x81674)),f341(f341(f184(x81671,x81672),x81675),x81676)),f341(f341(f184(x81671,x81672),f341(f341(f137(x81671),x81673),x81675)),f341(f341(f137(x81672),x81674),x81676))) % 197.39/197.43 [8373]~P101(x83735)+E(f341(x83731,x83732),f341(x83731,x83733))+E(f341(f341(f154(x83734,x83735,x83731),x83732),f341(f341(f154(x83734,x83735,x83731),x83733),x83736)),f341(f341(f154(x83734,x83735,x83731),x83733),f341(f341(f154(x83734,x83735,x83731),x83732),x83736))) % 197.39/197.43 [8565]~P1(f341(f341(f344(x85652),x85654),f341(x85656,x85653)))+~P1(f341(f341(f344(x85651),x85653),x85655))+P1(f341(f341(f344(f888(x85651,x85652)),f341(f341(f257(x85651,x85652),x85653),x85654)),f341(f341(f259(x85651,x85652),x85655),x85656))) % 197.39/197.43 [9078]~P32(x90782,x90785,x90781,x90783,x90786)+P1(f341(f341(x90781,f341(f341(f169(x90782),x90783),x90784)),f341(f341(f169(x90785),x90786),x90784)))+~P1(f341(f341(f242(a881),x90784),f341(f194(f883(x90785)),x90786))) % 197.39/197.43 [9079]~P32(x90792,x90795,x90791,x90793,x90796)+P1(f341(f341(x90791,f341(f341(f169(x90792),x90793),x90794)),f341(f341(f169(x90795),x90796),x90794)))+~P1(f341(f341(f242(a881),x90794),f341(f194(f883(x90792)),x90793))) % 197.39/197.43 [9208]~P18(x92081,x92082,x92083,x92086)+P18(x92081,x92082,f84(x92081,x92082,x92083,x92084,x92085),x92086)+P1(f341(f341(f344(x92082),x92085),f341(f341(f317(x92081,x92082),x92083),x92086))) % 197.39/197.43 [9249]~P23(x92493,x92491,x92496,x92492)+~P1(f341(f72(x92493),x92494))+E(f341(f341(f82(x92491,x92491,x92491),f341(x92492,f341(f341(f3(f889(x92493,a874)),x92494),f341(f341(f318(x92493),x92495),f193(f889(x92493,a874)))))),f341(x92496,x92495)),f341(x92492,f341(f341(f318(x92493),x92495),x92494))) % 197.39/197.43 [9864]~E(f341(f341(f317(x98642,x98644),x98646),f249(f889(x98642,a874))),f249(f889(x98644,a874)))+~E(f341(f341(f317(x98641,x98643),x98645),f249(f889(x98641,a874))),f249(f889(x98643,a874)))+E(f341(f341(f317(f888(x98641,x98642),f888(x98643,x98644)),f263(x98641,x98643,x98642,x98644,x98645,x98646)),f249(f889(f888(x98641,x98642),a874))),f249(f889(f888(x98643,x98644),a874))) % 197.39/197.43 [10136]~P70(x101362)+~P1(f341(f72(x101363),x101365))+E(f341(f341(f8(x101361,x101362),f341(f341(f10(f889(x101363,a874),x101362,x101361),f341(f8(x101363,x101362),x101364)),f341(f341(f10(f889(x101363,a874),f889(x101363,a874),x101361),f267(x101363)),f341(f341(f10(f889(x101363,a874),f889(x101363,a874),x101361),f341(f20(x101363,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101363),a339),f341(f341(f9(x101363,f889(x101363,a874),a874),f344(x101363)),x101365)))),f341(f9(x101363,x101361,a874),f341(f341(f10(x101361,f889(x101361,a874),x101363),a338),x101366)))))),f341(f341(f317(x101363,x101361),x101366),x101365)),f341(f341(f8(x101363,x101362),x101364),x101365)) % 197.39/197.43 [7757]~P1(f341(x77571,x77575))+~P1(f341(x77576,x77574))+P1(f341(x77571,f341(f261(x77572,x77573),f341(f341(f257(x77572,x77573),x77574),x77575)))) % 197.39/197.43 [7758]~P1(f341(x77581,x77584))+~P1(f341(x77586,x77585))+P1(f341(x77581,f341(f256(x77582,x77583),f341(f341(f257(x77582,x77583),x77584),x77585)))) % 197.39/197.43 [7806]~P1(f341(f341(x78064,x78066),x78065))+~P1(f341(f341(f344(x78061),x78066),x78063))+P1(f341(f341(f341(f42(x78061,f889(x78062,a874)),x78063),x78064),x78065)) % 197.39/197.43 [8114]~P1(f341(f341(f344(x81141),x81142),f341(x81145,x81146)))+~P1(f341(f341(f344(x81143),x81146),x81144))+P1(f341(f341(f344(x81141),x81142),f341(f341(f42(x81143,f889(x81141,a874)),x81144),x81145))) % 197.39/197.43 [8159]P1(f341(f341(x81591,x81592),x81593))+~P1(f341(f341(x81594,x81592),x81593))+~P1(f341(f341(f241(f889(x81595,f889(x81596,a874))),x81594),x81591)) % 197.39/197.43 [8298]P1(f341(f341(x82981,x82982),x82983))+~P1(f341(f341(f344(x82984),x82982),x82985))+~P1(f341(f341(f341(f43(x82984,f889(x82986,a874)),x82985),x82981),x82983)) % 197.39/197.43 [8437]P1(f341(f341(f344(x84371),x84372),f341(x84373,x84374)))+~P1(f341(f341(f344(x84375),x84374),x84376))+~P1(f341(f341(f344(x84371),x84372),f341(f341(f43(x84375,f889(x84371,a874)),x84376),x84373))) % 197.39/197.43 [8527]~P70(x85272)+~P18(x85274,x85271,x85275,x85276)+E(f341(f341(f8(x85271,x85272),x85273),f341(f341(f317(x85274,x85271),x85275),x85276)),f341(f341(f8(x85274,x85272),f341(f341(f82(x85271,x85272,x85274),x85273),x85275)),x85276)) % 197.39/197.43 [8528]~P72(x85282)+~P18(x85284,x85281,x85285,x85286)+E(f341(f341(f11(x85281,x85282),x85283),f341(f341(f317(x85284,x85281),x85285),x85286)),f341(f341(f11(x85284,x85282),f341(f341(f82(x85281,x85282,x85284),x85283),x85285)),x85286)) % 197.39/197.43 [8635]~P1(f341(f341(f341(f341(a201,x86351),x86353),x86354),x86356))+~P1(f341(f341(f341(f341(a201,x86352),x86356),x86354),x86355))+P1(f341(f341(f341(f341(a201,f33(x86351,x86352)),x86353),x86354),x86355)) % 197.39/197.43 [8703]~P14(x87034,x87035,x87036,x87031)+E(f341(x87031,x87032),f341(x87031,x87033))+~P1(f341(f341(f344(f888(x87034,x87034)),f341(f341(f257(x87034,x87034),x87032),x87033)),x87036)) % 197.39/197.43 [8738]P1(f341(f341(f241(f889(x87381,a874)),x87382),f341(x87383,x87384)))+~P1(f341(f341(f344(x87385),x87384),x87386))+~P1(f341(f341(f241(f889(x87381,a874)),x87382),f341(f341(f43(x87385,f889(x87381,a874)),x87386),x87383))) % 197.39/197.43 [8769]~P53(x87693,x87694,f341(f293(x87694,x87693),x87695))+E(x87691,f193(f889(x87692,a874)))+E(f341(f341(f43(x87692,f889(x87693,a874)),x87691),f341(f341(f10(f889(x87694,a874),f889(x87693,a874),x87692),f292(x87694,x87693,x87695)),x87696)),f341(f292(x87694,x87693,x87695),f341(f341(f43(x87692,f889(x87694,a874)),x87691),x87696))) % 197.39/197.43 [8853]P1(f341(f341(f344(x88531),x88532),f341(f292(x88533,x88531,x88534),x88535)))+~P1(f341(f341(f344(x88533),x88536),x88535))+~P1(f341(f341(f344(f888(x88533,x88531)),f341(f341(f257(x88533,x88531),x88536),x88532)),x88534)) % 197.39/197.43 [8966]P1(f341(x89661,x89662))+~P1(f341(f341(f341(f341(a201,x89664),x89662),x89665),x89666))+P1(f341(f341(f341(f341(a201,f30(x89661,x89663,x89664)),x89662),x89665),x89666)) % 197.39/197.43 [8983]~P1(f341(x89831,x89834))+~P1(f341(f341(f341(f341(a201,x89832),x89834),x89835),x89836))+P1(f341(f341(f341(f341(a201,f30(x89831,x89832,x89833)),x89834),x89835),x89836)) % 197.39/197.43 [9151]P1(f341(f341(f241(f889(x91511,a874)),f341(f292(x91512,x91511,x91513),x91514)),f341(f292(x91512,x91511,x91515),x91516)))+~P1(f341(f341(f241(f889(x91512,a874)),x91514),x91516))+~P1(f341(f341(f241(f889(f888(x91512,x91511),a874)),x91513),x91515)) % 197.39/197.43 [9170]~P1(f341(f341(f344(x91705),x91703),x91706))+P1(f341(f341(f344(x91701),f341(x91702,x91703)),f113(f889(x91701,a874),x91704)))+~P1(f341(f341(f241(f889(x91701,a874)),f341(f341(f317(x91705,x91701),x91702),x91706)),f341(x91704,f341(f341(f317(x91705,x91701),x91702),x91706)))) % 197.39/197.43 [9240]P1(f341(x92401,x92402))+P1(f341(f341(f341(f341(a201,x92403),x92402),x92404),x92405))+~P1(f341(f341(f341(f341(a201,f30(x92401,x92406,x92403)),x92402),x92404),x92405)) % 197.39/197.43 [9245]~P1(f341(x92455,x92452))+P1(f341(f341(f341(f341(a201,x92451),x92452),x92453),x92454))+~P1(f341(f341(f341(f341(a201,f30(x92455,x92451,x92456)),x92452),x92453),x92454)) % 197.39/197.43 [9294]P1(f341(f341(f341(f341(a201,x92941),x92942),x92943),x92944))+P1(f341(f341(f341(f341(a201,x92945),x92942),x92943),x92944))+~P1(f341(f341(f341(f341(a201,f30(x92946,x92941,x92945)),x92942),x92943),x92944)) % 197.39/197.43 [9295]P1(f341(f341(f241(f889(f879(x92951,x92952),a874)),f341(f341(f54(x92951,x92952),x92953),x92954)),f341(f341(f54(x92951,x92952),x92955),x92956)))+~P1(f341(f341(f241(f889(f879(x92951,x92952),a874)),x92954),x92956))+~P1(f341(f341(f241(f889(f879(x92951,x92952),a874)),x92953),x92955)) % 197.39/197.43 [9332]~P1(f341(f341(f344(x93322),x93326),x93324))+~P1(f341(f341(f241(f889(x93321,a874)),x93323),x93325))+P1(f341(f341(f241(f889(f888(x93321,x93322),a874)),f341(f341(f259(x93321,x93322),x93323),f341(f18(f889(x93322,a874),x93321),x93324))),f341(f341(f259(x93321,x93322),x93325),f341(f18(f889(x93322,a874),x93321),x93324)))) % 197.39/197.43 [9344]~P32(x93441,x93442,x93443,x93445,x93446)+P1(f341(f341(f262(x93441,x93442,a874),x93443),x93444))+~P1(f341(f341(f344(f888(x93441,x93442)),x93444),f341(f176(f888(x93441,x93442)),f341(f341(f184(x93441,x93442),x93445),x93446)))) % 197.39/197.43 [9484]~E(x94843,x94845)+P1(f341(f341(f344(f888(f883(x94841),f883(x94841))),f341(f341(f257(f883(x94841),f883(x94841)),f341(f341(f156(x94841),x94842),x94843)),f341(f341(f156(x94841),x94844),x94845))),f162(x94841,x94846)))+~P1(f341(f341(f344(f888(x94841,x94841)),f341(f341(f257(x94841,x94841),x94842),x94844)),x94846)) % 197.39/197.43 [9488]~E(f341(f194(f883(x94881)),x94883),f341(f194(f883(x94881)),x94885))+P1(f341(f341(f344(f888(f883(x94881),f883(x94881))),f341(f341(f257(f883(x94881),f883(x94881)),f341(f341(f156(x94881),x94882),x94883)),f341(f341(f156(x94881),x94884),x94885))),f150(x94881,x94886)))+~P1(f341(f341(f344(f888(x94881,x94881)),f341(f341(f257(x94881,x94881),x94882),x94884)),x94886)) % 197.39/197.43 [9517]P1(f341(f341(f344(f888(x95171,x95171)),f341(f341(f257(x95171,x95171),x95172),x95173)),f341(f341(f186(f888(x95171,x95171),a874),f341(a128,x95174)),x95175)))+~P1(f341(f341(f344(f888(x95171,x95171)),f341(f341(f257(x95171,x95171),x95176),x95173)),x95175))+~P1(f341(f341(f344(f888(x95171,x95171)),f341(f341(f257(x95171,x95171),x95172),x95176)),f341(f341(f186(f888(x95171,x95171),a874),x95174),x95175))) % 197.39/197.43 [9518]P1(f341(f341(f344(f888(x95181,x95181)),f341(f341(f257(x95181,x95181),x95182),x95183)),f341(f341(f186(f888(x95181,x95181),a874),f341(a128,x95184)),x95185)))+~P1(f341(f341(f344(f888(x95181,x95181)),f341(f341(f257(x95181,x95181),x95182),x95186)),x95185))+~P1(f341(f341(f344(f888(x95181,x95181)),f341(f341(f257(x95181,x95181),x95186),x95183)),f341(f341(f186(f888(x95181,x95181),a874),x95184),x95185))) % 197.39/197.43 [9523]~P1(f341(f341(f344(x95234),x95235),x95236))+P1(f341(f341(f241(f889(x95231,a874)),x95232),x95233))+~P1(f341(f341(f241(f889(f888(x95231,x95234),a874)),f341(f341(f259(x95231,x95234),x95232),f341(f18(f889(x95234,a874),x95231),x95236))),f341(f341(f259(x95231,x95234),x95233),f341(f18(f889(x95234,a874),x95231),x95236)))) % 197.39/197.43 [9565]E(x95651,x95652)+~P1(f341(f341(f344(f888(f883(x95653),f883(x95653))),f341(f341(f257(f883(x95653),f883(x95653)),f341(f341(f156(x95653),x95651),x95655)),f341(f341(f156(x95653),x95652),x95656))),f150(x95653,x95654)))+P1(f341(f341(f344(f888(x95653,x95653)),f341(f341(f257(x95653,x95653),x95651),x95652)),x95654)) % 197.39/197.43 [9566]E(x95661,x95662)+~P1(f341(f341(f344(f888(f883(x95663),f883(x95663))),f341(f341(f257(f883(x95663),f883(x95663)),f341(f341(f156(x95663),x95661),x95665)),f341(f341(f156(x95663),x95662),x95666))),f152(x95663,x95664)))+P1(f341(f341(f344(f888(x95663,x95663)),f341(f341(f257(x95663,x95663),x95661),x95662)),x95664)) % 197.39/197.43 [9567]E(x95671,x95672)+~P1(f341(f341(f344(f888(f883(x95673),f883(x95673))),f341(f341(f257(f883(x95673),f883(x95673)),f341(f341(f156(x95673),x95671),x95675)),f341(f341(f156(x95673),x95672),x95676))),f162(x95673,x95674)))+P1(f341(f341(f344(f888(x95673,x95673)),f341(f341(f257(x95673,x95673),x95671),x95672)),x95674)) % 197.39/197.43 [9598]P1(f341(f341(f344(f888(f883(x95981),f883(x95981))),f341(f341(f257(f883(x95981),f883(x95981)),f341(f341(f156(x95981),x95982),x95983)),f341(f341(f156(x95981),x95984),x95985))),f163(x95981,x95986)))+~P1(f341(f341(f344(f888(f883(x95981),f883(x95981))),f341(f341(f257(f883(x95981),f883(x95981)),x95983),x95985)),f163(x95981,x95986)))+~P1(f341(f341(f344(f888(x95981,x95981)),f341(f341(f257(x95981,x95981),x95982),x95984)),x95986)) % 197.39/197.43 [9615]P1(f341(x96151,x96152))+~P1(f341(x96151,f716(x96151,x96153,x96154,x96155,x96156)))+~P1(f341(f341(f344(x96156),x96152),f341(f341(f42(x96155,f889(x96156,a874)),x96154),x96153))) % 197.39/197.43 [9621]~P1(f341(f341(f344(f888(f883(x96211),f883(x96211))),f341(f341(f257(f883(x96211),f883(x96211)),f341(f341(f156(x96211),x96212),x96215)),f341(f341(f156(x96211),x96213),x96216))),f150(x96211,x96214)))+P1(f341(f341(f344(f888(f883(x96211),f883(x96211))),f341(f341(f257(f883(x96211),f883(x96211)),x96215),x96216)),f150(x96211,x96214)))+P1(f341(f341(f344(f888(x96211,x96211)),f341(f341(f257(x96211,x96211),x96212),x96213)),x96214)) % 197.39/197.43 [9622]~P1(f341(f341(f344(f888(f883(x96221),f883(x96221))),f341(f341(f257(f883(x96221),f883(x96221)),f341(f341(f156(x96221),x96222),x96225)),f341(f341(f156(x96221),x96223),x96226))),f152(x96221,x96224)))+P1(f341(f341(f344(f888(f883(x96221),f883(x96221))),f341(f341(f257(f883(x96221),f883(x96221)),x96225),x96226)),f152(x96221,x96224)))+P1(f341(f341(f344(f888(x96221,x96221)),f341(f341(f257(x96221,x96221),x96222),x96223)),x96224)) % 197.39/197.43 [9623]~P1(f341(f341(f344(f888(f883(x96231),f883(x96231))),f341(f341(f257(f883(x96231),f883(x96231)),f341(f341(f156(x96231),x96232),x96235)),f341(f341(f156(x96231),x96233),x96236))),f162(x96231,x96234)))+P1(f341(f341(f344(f888(f883(x96231),f883(x96231))),f341(f341(f257(f883(x96231),f883(x96231)),x96235),x96236)),f162(x96231,x96234)))+P1(f341(f341(f344(f888(x96231,x96231)),f341(f341(f257(x96231,x96231),x96232),x96233)),x96234)) % 197.39/197.43 [9699]P1(f341(x96991,x96992))+P1(f341(f341(f344(x96993),f717(x96991,x96994,x96995,x96993,x96996)),x96995))+~P1(f341(f341(f344(x96996),x96992),f341(f341(f42(x96993,f889(x96996,a874)),x96995),x96994))) % 197.39/197.43 [9706]~E(x97062,x97064)+P1(f341(f341(f344(f888(f883(x97061),f883(x97061))),f341(f341(f257(f883(x97061),f883(x97061)),f341(f341(f137(x97061),x97062),f341(f341(f156(x97061),x97063),f129(x97061)))),f341(f341(f137(x97061),x97064),f341(f341(f156(x97061),x97065),f129(x97061))))),f162(x97061,x97066)))+~P1(f341(f341(f344(f888(x97061,x97061)),f341(f341(f257(x97061,x97061),x97063),x97065)),x97066)) % 197.39/197.43 [9787]E(x97871,x97872)+~P1(f341(f341(f344(f888(f883(x97873),f883(x97873))),f341(f341(f257(f883(x97873),f883(x97873)),f341(f341(f137(x97873),x97875),f341(f341(f156(x97873),x97871),f129(x97873)))),f341(f341(f137(x97873),x97876),f341(f341(f156(x97873),x97872),f129(x97873))))),f162(x97873,x97874)))+P1(f341(f341(f344(f888(x97873,x97873)),f341(f341(f257(x97873,x97873),x97871),x97872)),x97874)) % 197.39/197.43 [9815]~P1(f341(f341(f344(f888(f883(x98151),f883(x98151))),f341(f341(f257(f883(x98151),f883(x98151)),f341(f341(f137(x98151),x98155),f341(f341(f156(x98151),x98152),f129(x98151)))),f341(f341(f137(x98151),x98156),f341(f341(f156(x98151),x98153),f129(x98151))))),f162(x98151,x98154)))+P1(f341(f341(f344(f888(f883(x98151),f883(x98151))),f341(f341(f257(f883(x98151),f883(x98151)),x98155),x98156)),f162(x98151,x98154)))+P1(f341(f341(f344(f888(x98151,x98151)),f341(f341(f257(x98151,x98151),x98152),x98153)),x98154)) % 197.39/197.43 [9831]P1(f341(x98311,x98312))+P1(f341(f341(f344(x98313),f716(x98311,x98314,x98315,x98316,x98313)),f341(x98314,f717(x98311,x98314,x98315,x98316,x98313))))+~P1(f341(f341(f344(x98313),x98312),f341(f341(f42(x98316,f889(x98313,a874)),x98315),x98314))) % 197.39/197.43 [9158]~P1(f341(f341(f344(x91585),x91583),x91586))+P1(f341(f341(f241(f889(x91581,a874)),f341(x91582,x91583)),x91584))+~P1(f341(f341(f241(f889(x91581,a874)),f341(f341(f42(x91585,f889(x91581,a874)),x91586),x91582)),x91584)) % 197.39/197.43 [9765]~P11(x97651,x97655,x97654)+P1(f341(f341(f344(f888(x97651,x97651)),f341(f341(f257(x97651,x97651),x97652),x97653)),x97654))+~P1(f341(f341(f344(x97651),x97656),f341(f341(f126(f889(x97651,a874)),f341(f292(x97651,x97651,x97654),f341(f341(f318(x97651),x97652),f193(f889(x97651,a874))))),f341(f292(x97651,x97651,x97654),f341(f341(f318(x97651),x97653),f193(f889(x97651,a874))))))) % 197.39/197.43 [8601]~P135(x86012)+~E(f341(f341(f91(x86012),f341(f341(f92(x86012),x86014),x86015)),x86011),f341(f341(f91(x86012),f341(f341(f92(x86012),x86013),x86015)),x86016))+E(x86011,f341(f341(f91(x86012),f341(f341(f92(x86012),f341(f341(f3(x86012),x86013),x86014)),x86015)),x86016)) % 197.39/197.43 [8602]~P135(x86021)+~E(f341(f341(f91(x86021),f341(f341(f92(x86021),x86022),x86024)),x86025),f341(f341(f91(x86021),f341(f341(f92(x86021),x86023),x86024)),x86026))+E(f341(f341(f91(x86021),f341(f341(f92(x86021),f341(f341(f3(x86021),x86022),x86023)),x86024)),x86025),x86026) % 197.39/197.43 [8772]~P135(x87721)+E(f341(f341(f91(x87721),f341(f341(f92(x87721),x87722),x87723)),x87724),f341(f341(f91(x87721),f341(f341(f92(x87721),x87725),x87723)),x87726))+~E(x87726,f341(f341(f91(x87721),f341(f341(f92(x87721),f341(f341(f3(x87721),x87722),x87725)),x87723)),x87724)) % 197.39/197.43 [8773]~P135(x87731)+E(f341(f341(f91(x87731),f341(f341(f92(x87731),x87732),x87733)),x87734),f341(f341(f91(x87731),f341(f341(f92(x87731),x87735),x87733)),x87736))+~E(f341(f341(f91(x87731),f341(f341(f92(x87731),f341(f341(f3(x87731),x87732),x87735)),x87733)),x87734),x87736) % 197.39/197.43 [9094]~P1(f341(f341(x90944,x90945),x90946))+~P1(f341(f341(x90943,x90945),x90946))+P1(f341(f341(f341(f341(f126(f889(x90941,f889(x90942,a874))),x90943),x90944),x90945),x90946)) % 197.39/197.43 [9352]P1(f341(f341(x93521,x93522),x93523))+P1(f341(f341(x93524,x93522),x93523))+~P1(f341(f341(f341(f341(f125(f889(x93525,f889(x93526,a874))),x93524),x93521),x93522),x93523)) % 197.39/197.43 [9637]~P131(x96371)+~P1(f341(f341(f242(x96371),f341(f341(f91(x96371),f341(f341(f92(x96371),x96374),x96375)),x96372)),f341(f341(f91(x96371),f341(f341(f92(x96371),x96373),x96375)),x96376)))+P1(f341(f341(f242(x96371),x96372),f341(f341(f91(x96371),f341(f341(f92(x96371),f341(f341(f3(x96371),x96373),x96374)),x96375)),x96376))) % 197.39/197.43 [9638]~P131(x96381)+~P1(f341(f341(f241(x96381),f341(f341(f91(x96381),f341(f341(f92(x96381),x96384),x96385)),x96382)),f341(f341(f91(x96381),f341(f341(f92(x96381),x96383),x96385)),x96386)))+P1(f341(f341(f241(x96381),x96382),f341(f341(f91(x96381),f341(f341(f92(x96381),f341(f341(f3(x96381),x96383),x96384)),x96385)),x96386))) % 197.39/197.43 [9656]~P131(x96561)+P1(f341(f341(f242(x96561),f341(f341(f91(x96561),f341(f341(f92(x96561),x96562),x96563)),x96564)),f341(f341(f91(x96561),f341(f341(f92(x96561),x96565),x96563)),x96566)))+~P1(f341(f341(f242(x96561),x96564),f341(f341(f91(x96561),f341(f341(f92(x96561),f341(f341(f3(x96561),x96565),x96562)),x96563)),x96566))) % 197.39/197.43 [9657]~P131(x96571)+P1(f341(f341(f241(x96571),f341(f341(f91(x96571),f341(f341(f92(x96571),x96572),x96573)),x96574)),f341(f341(f91(x96571),f341(f341(f92(x96571),x96575),x96573)),x96576)))+~P1(f341(f341(f241(x96571),x96574),f341(f341(f91(x96571),f341(f341(f92(x96571),f341(f341(f3(x96571),x96575),x96572)),x96573)),x96576))) % 197.39/197.43 [9754]~P131(x97541)+~P1(f341(f341(f242(x97541),f341(f341(f91(x97541),f341(f341(f92(x97541),x97542),x97544)),x97545)),f341(f341(f91(x97541),f341(f341(f92(x97541),x97543),x97544)),x97546)))+P1(f341(f341(f242(x97541),f341(f341(f91(x97541),f341(f341(f92(x97541),f341(f341(f3(x97541),x97542),x97543)),x97544)),x97545)),x97546)) % 197.39/197.43 [9755]~P131(x97551)+~P1(f341(f341(f241(x97551),f341(f341(f91(x97551),f341(f341(f92(x97551),x97552),x97554)),x97555)),f341(f341(f91(x97551),f341(f341(f92(x97551),x97553),x97554)),x97556)))+P1(f341(f341(f241(x97551),f341(f341(f91(x97551),f341(f341(f92(x97551),f341(f341(f3(x97551),x97552),x97553)),x97554)),x97555)),x97556)) % 197.39/197.43 [9799]~P131(x97991)+P1(f341(f341(f242(x97991),f341(f341(f91(x97991),f341(f341(f92(x97991),x97992),x97993)),x97994)),f341(f341(f91(x97991),f341(f341(f92(x97991),x97995),x97993)),x97996)))+~P1(f341(f341(f242(x97991),f341(f341(f91(x97991),f341(f341(f92(x97991),f341(f341(f3(x97991),x97992),x97995)),x97993)),x97994)),x97996)) % 197.39/197.43 [9800]~P131(x98001)+P1(f341(f341(f241(x98001),f341(f341(f91(x98001),f341(f341(f92(x98001),x98002),x98003)),x98004)),f341(f341(f91(x98001),f341(f341(f92(x98001),x98005),x98003)),x98006)))+~P1(f341(f341(f241(x98001),f341(f341(f91(x98001),f341(f341(f92(x98001),f341(f341(f3(x98001),x98002),x98005)),x98003)),x98004)),x98006)) % 197.39/197.43 [9969]~P70(x99692)+~P1(f341(f72(x99691),x99696))+E(f341(f341(f8(x99691,x99692),f341(f341(f20(x99691,x99692,x99692),f341(f341(f20(x99691,x99692,f889(x99692,x99692)),f341(f341(f10(a874,f889(x99692,f889(x99692,x99692)),x99691),f111(x99692)),x99693)),x99694)),x99695)),x99696),f341(f341(f91(x99692),f341(f341(f8(x99691,x99692),x99694),f341(f341(f126(f889(x99691,a874)),x99696),f341(f267(x99691),x99693)))),f341(f341(f8(x99691,x99692),x99695),f341(f341(f126(f889(x99691,a874)),x99696),f341(f90(f889(x99691,a874)),f341(f267(x99691),x99693)))))) % 197.39/197.43 [10064]P1(f341(f341(f344(x100642),x100644),x100646))+P1(f341(f341(f344(x100642),x100645),x100646))+E(f341(f320(x100641,x100642,f341(f341(f9(x100641,x100642,x100642),f341(f341(f9(x100641,x100642,f889(x100642,x100642)),f341(f341(f10(a874,f889(x100642,f889(x100642,x100642)),x100641),f111(x100642)),f341(f341(f9(x100641,f889(x100641,a874),a874),f344(x100641)),x100643))),x100644)),x100645)),x100646),f193(f889(x100641,a874))) % 197.39/197.43 [10065]P1(f341(f341(f344(x100652),x100655),x100656))+~P1(f341(f341(f344(x100652),x100654),x100656))+E(f341(f320(x100651,x100652,f341(f341(f9(x100651,x100652,x100652),f341(f341(f9(x100651,x100652,f889(x100652,x100652)),f341(f341(f10(a874,f889(x100652,f889(x100652,x100652)),x100651),f111(x100652)),f341(f341(f9(x100651,f889(x100651,a874),a874),f344(x100651)),x100653))),x100654)),x100655)),x100656),x100653) % 197.39/197.43 [10066]P1(f341(f341(f344(x100662),x100664),x100666))+~P1(f341(f341(f344(x100662),x100665),x100666))+E(f341(f320(x100661,x100662,f341(f341(f9(x100661,x100662,x100662),f341(f341(f9(x100661,x100662,f889(x100662,x100662)),f341(f341(f10(a874,f889(x100662,f889(x100662,x100662)),x100661),f111(x100662)),f341(f341(f9(x100661,f889(x100661,a874),a874),f344(x100661)),x100663))),x100664)),x100665)),x100666),f341(f90(f889(x100661,a874)),x100663)) % 197.39/197.43 [10067]~P1(f341(f341(f344(x100672),x100674),x100676))+~P1(f341(f341(f344(x100672),x100675),x100676))+E(f341(f320(x100671,x100672,f341(f341(f9(x100671,x100672,x100672),f341(f341(f9(x100671,x100672,f889(x100672,x100672)),f341(f341(f10(a874,f889(x100672,f889(x100672,x100672)),x100671),f111(x100672)),f341(f341(f9(x100671,f889(x100671,a874),a874),f344(x100671)),x100673))),x100674)),x100675)),x100676),f249(f889(x100671,a874))) % 197.39/197.43 [8632]E(x86321,x86322)+~P55(x86324,x86325,x86323,x86326,x86327)+~E(f341(x86323,x86321),f341(x86323,x86322)) % 197.39/197.43 [8659]~P13(x86596,x86595,x86597,x86594,x86591)+E(f341(f341(x86591,x86592),x86593),x86594)+P1(f341(f72(x86595),x86593)) % 197.39/197.43 [8701]~P47(x87014,x87015,x87016,x87011,x87017)+E(f341(x87011,x87012),f341(x87011,x87013))+~P1(f341(f341(x87016,x87012),x87013)) % 197.39/197.43 [8724]~P47(x87243,x87244,x87241,x87245,x87246)+P1(f341(f341(x87241,x87242),x87242))+~P1(f341(f341(x87241,x87247),x87242)) % 197.39/197.43 [8726]~P47(x87263,x87264,x87261,x87265,x87266)+P1(f341(f341(x87261,x87262),x87262))+~P1(f341(f341(x87261,x87262),x87267)) % 197.39/197.43 [8749]~E(x87493,x87494)+~P47(x87495,x87496,x87491,x87497,x87492)+P1(f341(f341(x87491,f341(x87492,x87493)),f341(x87492,x87494))) % 197.39/197.43 [8800]E(x88001,x88002)+~P47(x88003,x88004,x88005,x88006,x88007)+~P1(f341(f341(x88005,f341(x88007,x88001)),f341(x88007,x88002))) % 197.39/197.43 [9505]P38(x95051,x95052,x95053,x95054,x95055,f341(f341(x95053,x95056),x95057))+~E(f341(f341(x95053,x95056),x95057),x95054)+~E(x95055,f193(f889(x95051,a874))) % 197.39/197.43 [9680]~P1(f341(x96806,x96803))+~P1(f341(f341(f344(f888(x96802,x96802)),f341(f341(f257(x96802,x96802),x96804),x96805)),f341(x96807,x96803)))+P1(f341(f341(f344(f888(f888(x96801,x96802),f888(x96801,x96802))),f341(f341(f257(f888(x96801,x96802),f888(x96801,x96802)),f341(f341(f257(x96801,x96802),x96803),x96804)),f341(f341(f257(x96801,x96802),x96803),x96805))),f290(x96801,x96802,x96806,x96807))) % 197.39/197.43 [9980]~P47(x99803,x99807,x99806,x99805,x99804)+P1(f341(x99801,x99802))+P1(f341(f341(f344(x99803),f671(x99801,x99804,x99805,x99806,x99807,x99803)),f277(x99803,x99806))) % 197.39/197.43 [9981]~P47(x99811,x99816,x99815,x99814,x99813)+~P1(f341(x99812,x99817))+P1(f341(f341(f344(x99811),f436(x99812,x99813,x99814,x99815,x99816,x99811)),f277(x99811,x99815))) % 197.39/197.43 [10015]~P47(x100151,x100152,x100156,x100153,x100155)+~P1(f341(x100154,x100157))+P1(f341(f341(f87(x100151,x100152,a874,a874,x100153,f34(a874)),x100154),f436(x100154,x100155,x100153,x100156,x100152,x100151))) % 197.39/197.43 [10100]~P47(x101003,x101004,x101005,x101006,x101007)+P1(f341(x101001,x101002))+~P1(f341(f341(f87(x101003,x101004,a874,a874,x101006,f34(a874)),x101001),f671(x101001,x101007,x101006,x101005,x101004,x101003))) % 197.39/197.43 [10138]~P38(x101382,x101387,x101383,x101386,x101381,f341(f341(x101383,x101385),x101384))+E(f341(f341(x101383,f682(x101384,x101385,x101381,x101386,x101383,x101387,x101382)),f683(x101384,x101385,x101381,x101386,x101383,x101387,x101382)),f341(f341(x101383,x101385),x101384))+E(x101381,f193(f889(x101382,a874))) % 197.39/197.43 [10139]~P38(x101397,x101396,x101391,x101394,x101395,f341(f341(x101391,x101392),x101393))+E(f341(f341(x101391,f682(x101393,x101392,x101395,x101394,x101391,x101396,x101397)),f683(x101393,x101392,x101395,x101394,x101391,x101396,x101397)),f341(f341(x101391,x101392),x101393))+E(f341(f341(x101391,x101392),x101393),x101394) % 197.39/197.43 [8794]~P47(x87946,x87947,x87941,x87944,x87943)+~P1(f341(f341(x87941,x87942),x87945))+P1(f341(f341(x87941,x87942),f341(x87943,f341(x87944,x87945)))) % 197.39/197.43 [9195]~P32(x91951,x91952,x91953,x91955,x91957)+P32(x91951,x91952,x91953,f341(f341(f156(x91951),x91954),x91955),f341(f341(f156(x91952),x91956),x91957))+~P1(f341(f341(x91953,x91954),x91956)) % 197.39/197.43 [9209]P32(x92091,x92092,x92093,x92094,x92095)+~P32(x92091,x92092,x92093,f341(f341(f137(x92091),x92096),x92094),f341(f341(f137(x92092),x92097),x92095))+~E(f341(f194(f883(x92091)),x92096),f341(f194(f883(x92092)),x92097)) % 197.39/197.43 [9210]P32(x92101,x92102,x92103,x92104,x92105)+~P32(x92101,x92102,x92103,f341(f341(f137(x92101),x92104),x92106),f341(f341(f137(x92102),x92105),x92107))+~E(f341(f194(f883(x92101)),x92104),f341(f194(f883(x92102)),x92105)) % 197.39/197.43 [9415]~P32(x94151,x94152,x94153,x94155,x94157)+~P32(x94151,x94152,x94153,x94154,x94156)+P32(x94151,x94152,x94153,f341(f341(f137(x94151),x94154),x94155),f341(f341(f137(x94152),x94156),x94157)) % 197.39/197.43 [9780]~P19(x97801,x97804,x97805,x97806,x97803,x97807)+P19(x97801,x97804,x97805,x97806,f341(f341(f318(x97801),x97802),x97803),f341(f341(x97805,x97802),x97807))+P1(f341(f341(f344(x97801),x97802),x97803)) % 197.39/197.43 [9972]~P10(x99726,x99725)+~P1(f341(x99721,f341(x99727,x99722)))+P1(f341(x99721,f341(f828(x99722,x99721,x99723,x99724,x99725,x99726),x99722))) % 197.39/197.43 [10076]~P10(x100762,x100766)+~P1(f341(x100764,f341(x100767,x100763)))+P1(f341(f341(f344(f889(x100761,x100762)),f828(x100763,x100764,x100765,x100761,x100766,x100762)),f277(f889(x100761,x100762),f276(x100761,x100761,x100762,x100762,x100765,x100766)))) % 197.39/197.43 [10165]~P38(x101652,x101657,x101656,x101655,x101651,f341(f341(x101656,x101654),x101653))+E(x101651,f193(f889(x101652,a874)))+P1(f341(f341(f344(x101652),f682(x101653,x101654,x101651,x101655,x101656,x101657,x101652)),x101651)) % 197.39/197.43 [10166]~P38(x101665,x101667,x101661,x101664,x101666,f341(f341(x101661,x101662),x101663))+E(f341(f341(x101661,x101662),x101663),x101664)+P1(f341(f341(f344(x101665),f682(x101663,x101662,x101666,x101664,x101661,x101667,x101665)),x101666)) % 197.39/197.43 [8862]~P47(x88626,x88627,x88621,x88623,x88622)+~P1(f341(f341(x88621,x88624),x88625))+P1(f341(f341(x88621,f341(x88622,f341(x88623,x88624))),x88625)) % 197.39/197.43 [8901]~P25(x89014,x89015,x89016,x89017,x89011)+~P1(f341(f72(x89015),x89013))+E(f341(f341(x89011,x89012),x89013),f341(f341(f341(f75(x89014,x89015,x89016),x89012),x89017),x89013)) % 197.39/197.43 [8902]~P13(x89024,x89025,x89026,x89027,x89021)+~P1(f341(f72(x89025),x89023))+E(f341(f341(x89021,x89022),x89023),f341(f341(f341(f75(x89024,x89025,x89026),x89022),x89027),x89023)) % 197.39/197.43 [9476]~P17(x94761,x94762,f341(f341(f318(f880(x94761)),f341(f341(f341(f103(x94761),x94763),x94764),x94767)),f193(f889(f880(x94761),a874))))+P17(x94761,x94762,f341(f341(f318(f880(x94761)),f341(f341(f341(f103(x94761),x94763),f33(x94764,x94765)),x94766)),f193(f889(f880(x94761),a874))))+~P17(x94761,x94762,f341(f341(f318(f880(x94761)),f341(f341(f341(f103(x94761),x94767),x94765),x94766)),f193(f889(f880(x94761),a874)))) % 197.39/197.43 [9652]~P26(x96523,x96524,x96525,x96527,x96526,x96521)+~P1(f341(f72(x96524),x96522))+E(f341(x96521,x96522),f341(f341(f341(f75(x96523,x96524,x96525),x96526),x96527),x96522)) % 197.39/197.43 [9793]P38(x97931,x97932,x97933,x97934,x97935,f341(f341(x97933,x97936),x97937))+~P38(x97931,x97932,x97933,x97934,f341(f341(f3(f889(x97931,a874)),x97935),f341(f341(f318(x97931),x97936),f193(f889(x97931,a874)))),x97937)+~P1(f341(f341(f344(x97931),x97936),x97935)) % 197.39/197.43 [9794]P19(x97941,x97942,x97943,x97944,x97945,f341(f341(x97943,x97946),x97947))+~P19(x97941,x97942,x97943,x97944,f341(f341(f3(f889(x97941,a874)),x97945),f341(f341(f318(x97941),x97946),f193(f889(x97941,a874)))),x97947)+~P1(f341(f341(f344(x97941),x97946),x97945)) % 197.39/197.43 [10007]~P17(x100071,x100072,f341(f341(f318(f880(x100071)),f341(f341(f341(f103(x100071),f106(x100071,x100073,x100074)),x100075),x100077)),f193(f889(f880(x100071),a874))))+P17(x100071,x100072,f341(f341(f318(f880(x100071)),f341(f341(f341(f103(x100071),x100073),f30(x100074,x100075,x100076)),x100077)),f193(f889(f880(x100071),a874))))+~P17(x100071,x100072,f341(f341(f318(f880(x100071)),f341(f341(f341(f103(x100071),f106(x100071,x100073,f341(f341(f82(a874,a874,a876),a336),x100074))),x100076),x100077)),f193(f889(f880(x100071),a874)))) % 197.39/197.43 [10192]P1(f341(f341(x101927,f403(x101924,x101925,x101921,x101926,x101923,x101922,x101927)),f404(x101924,x101925,x101921,x101926,x101923,x101922,x101927)))+~P1(f341(f341(x101927,f341(f261(x101922,x101923),x101926)),f341(f256(x101922,x101923),x101926)))+P1(f341(x101921,f341(f341(f262(x101922,x101923,x101924),x101925),x101926))) % 197.39/197.43 [10199]~P38(x101992,x101993,x101994,x101995,x101991,f341(f341(x101994,x101997),x101996))+P38(x101992,x101993,x101994,x101995,f341(f341(f3(f889(x101992,a874)),x101991),f341(f341(f318(x101992),f682(x101996,x101997,x101991,x101995,x101994,x101993,x101992)),f193(f889(x101992,a874)))),f683(x101996,x101997,x101991,x101995,x101994,x101993,x101992))+E(x101991,f193(f889(x101992,a874))) % 197.39/197.43 [10200]~P38(x102005,x102006,x102001,x102004,x102007,f341(f341(x102001,x102002),x102003))+P38(x102005,x102006,x102001,x102004,f341(f341(f3(f889(x102005,a874)),x102007),f341(f341(f318(x102005),f682(x102003,x102002,x102007,x102004,x102001,x102006,x102005)),f193(f889(x102005,a874)))),f683(x102003,x102002,x102007,x102004,x102001,x102006,x102005))+E(f341(f341(x102001,x102002),x102003),x102004) % 197.39/197.43 [10217]~P1(f341(x102171,f341(f341(x102175,f404(x102174,x102175,x102171,x102176,x102173,x102172,x102177)),f403(x102174,x102175,x102171,x102176,x102173,x102172,x102177))))+~P1(f341(f341(x102177,f341(f261(x102172,x102173),x102176)),f341(f256(x102172,x102173),x102176)))+P1(f341(x102171,f341(f341(f262(x102172,x102173,x102174),x102175),x102176))) % 197.39/197.43 [9495]P1(f341(f341(f241(f889(f888(x94951,x94952),a874)),f341(f341(f296(x94951,x94953,x94952),x94954),x94955)),f341(f341(f296(x94951,x94953,x94952),x94956),x94957)))+~P1(f341(f341(f241(f889(f888(x94953,x94952),a874)),x94955),x94957))+~P1(f341(f341(f241(f889(f888(x94951,x94953),a874)),x94954),x94956)) % 197.39/197.43 [10252]~P139(x102521)+~P18(f888(x102522,x102523),x102521,f341(f262(x102522,x102523,x102521),f341(f341(f9(x102522,f889(x102523,x102521),f889(x102523,x102521)),f341(f341(f10(f889(x102521,x102521),f889(f889(x102523,x102521),f889(x102523,x102521)),x102522),f10(x102521,x102521,x102523)),f341(f341(f10(x102521,f889(x102521,x102521),x102522),f92(x102521)),x102524))),x102525)),f341(f341(f259(x102522,x102523),x102526),f341(f18(f889(x102523,a874),x102522),x102527)))+E(f341(f341(f8(x102521,x102521),f34(x102521)),f341(f267(x102521),f341(f341(f10(f889(x102522,a874),a874,x102521),f98(x102522)),f341(f341(f10(f889(x102522,f889(x102523,a874)),f889(x102522,a874),x102521),f341(f10(f889(x102523,a874),a874,x102522),f98(x102523))),f341(f341(f9(x102521,f889(x102522,f889(x102523,a874)),f889(x102522,f889(x102523,a874))),f341(f341(f10(f889(x102522,f889(f889(x102523,a874),f889(x102523,a874))),f889(f889(x102522,f889(x102523,a874)),f889(x102522,f889(x102523,a874))),x102521),f20(x102522,f889(x102523,a874),f889(x102523,a874))),f341(f341(f10(f889(x102522,f889(x102523,f889(a874,a874))),f889(x102522,f889(f889(x102523,a874),f889(x102523,a874))),x102521),f341(f10(f889(x102523,f889(a874,a874)),f889(f889(x102523,a874),f889(x102523,a874)),x102522),f20(x102523,a874,a874))),f341(f341(f10(f889(x102522,f889(x102523,a874)),f889(x102522,f889(x102523,f889(a874,a874))),x102521),f341(f10(f889(x102523,a874),f889(x102523,f889(a874,a874)),x102522),f341(f10(a874,f889(a874,a874),x102523),a339))),f341(f341(f9(x102521,f889(x102522,f889(x102523,x102521)),f889(x102522,f889(x102523,a874))),f341(f341(f10(f889(f889(x102523,x102521),f889(x102523,a874)),f889(f889(x102522,f889(x102523,x102521)),f889(x102522,f889(x102523,a874))),x102521),f10(f889(x102523,x102521),f889(x102523,a874),x102522)),f341(f341(f10(f889(x102521,a874),f889(f889(x102523,x102521),f889(x102523,a874)),x102521),f10(x102521,a874,x102523)),a338))),f341(f341(f9(x102522,f889(x102523,x102521),f889(x102523,x102521)),f341(f341(f10(f889(x102521,x102521),f889(f889(x102523,x102521),f889(x102523,x102521)),x102522),f10(x102521,x102521,x102523)),f341(f341(f10(x102521,f889(x102521,x102521),x102522),f92(x102521)),x102524))),x102525)))))),f341(f341(f9(x102522,f889(x102523,a874),f889(x102523,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x102523,a874),f889(x102523,a874)),x102522),f10(a874,a874,x102523)),f341(f341(f10(a874,f889(a874,a874),x102522),a339),f341(f341(f9(x102522,f889(x102522,a874),a874),f344(x102522)),x102526)))),f341(f341(f9(x102523,f889(x102523,a874),a874),f344(x102523)),x102527))))))),f341(f341(f92(x102521),f341(f341(f8(x102522,x102521),x102524),x102526)),f341(f341(f8(x102523,x102521),x102525),x102527))) % 197.39/197.43 [10062]~P47(x100622,x100621,x100627,x100624,x100623)+~P47(a874,a874,x100628,x100626,x100625)+E(f341(f87(x100621,x100622,f889(f889(x100622,a874),a874),f889(f889(x100621,a874),a874),x100623,f87(f889(x100621,a874),f889(x100622,a874),a874,a874,f87(x100622,x100621,a874,a874,x100624,x100625),x100626)),f344(x100622)),f344(x100621)) % 197.39/197.43 [9650]~P1(f341(f341(x96504,x96506),x96508))+~P1(f341(f341(x96505,x96508),x96507))+P1(f341(f341(f258(x96501,x96502,x96503,x96504,x96505),x96506),x96507)) % 197.39/197.43 [8813]~P23(x88138,x88131,x88133,x88135)+~P1(f341(f72(x88138),x88136))+E(f341(f341(f82(x88131,x88131,x88132),f341(x88133,x88134)),f341(f341(f82(x88131,x88131,x88132),f341(x88135,x88136)),x88137)),f341(f341(f82(x88131,x88131,x88132),f341(x88135,x88136)),f341(f341(f82(x88131,x88131,x88132),f341(x88133,x88134)),x88137))) % 197.39/197.43 [9751]~P18(x97512,x97514,x97516,x97518)+~P18(x97511,x97513,x97515,x97517)+P18(f888(x97511,x97512),f888(x97513,x97514),f263(x97511,x97513,x97512,x97514,x97515,x97516),f341(f341(f259(x97511,x97512),x97517),f341(f18(f889(x97512,a874),x97511),x97518))) % 197.39/197.43 [9437]P1(f341(f341(f344(f888(x94371,x94372)),f341(f341(f257(x94371,x94372),x94373),x94374)),f341(f341(f296(x94371,x94375,x94372),x94376),x94377)))+~P1(f341(f341(f344(f888(x94371,x94375)),f341(f341(f257(x94371,x94375),x94373),x94378)),x94376))+~P1(f341(f341(f344(f888(x94375,x94372)),f341(f341(f257(x94375,x94372),x94378),x94374)),x94377)) % 197.39/197.43 [9626]~P1(f341(f341(f241(f889(f888(x96263,x96262),a874)),x96265),f341(f341(f259(x96263,x96262),x96268),f341(f18(f889(x96262,a874),x96263),x96267))))+~P1(f341(f341(f241(f889(f888(x96261,x96263),a874)),x96264),f341(f341(f259(x96261,x96263),x96266),f341(f18(f889(x96263,a874),x96261),x96268))))+P1(f341(f341(f241(f889(f888(x96261,x96262),a874)),f341(f341(f296(x96261,x96263,x96262),x96264),x96265)),f341(f341(f259(x96261,x96262),x96266),f341(f18(f889(x96262,a874),x96261),x96267)))) % 197.39/197.43 [9674]~E(x96743,x96745)+P1(f341(f341(f344(f888(f888(x96741,x96742),f888(x96741,x96742))),f341(f341(f257(f888(x96741,x96742),f888(x96741,x96742)),f341(f341(f257(x96741,x96742),x96743),x96744)),f341(f341(f257(x96741,x96742),x96745),x96746))),f333(x96741,x96742,x96747,x96748)))+~P1(f341(f341(f344(f888(x96742,x96742)),f341(f341(f257(x96742,x96742),x96744),x96746)),x96748)) % 197.39/197.43 [9773]E(x97731,x97732)+~P1(f341(f341(f344(f888(f888(x97733,x97735),f888(x97733,x97735))),f341(f341(f257(f888(x97733,x97735),f888(x97733,x97735)),f341(f341(f257(x97733,x97735),x97731),x97736)),f341(f341(f257(x97733,x97735),x97732),x97737))),f333(x97733,x97735,x97734,x97738)))+P1(f341(f341(f344(f888(x97733,x97733)),f341(f341(f257(x97733,x97733),x97731),x97732)),x97734)) % 197.39/197.43 [9786]~P1(f341(f341(f344(f888(f888(x97861,x97865),f888(x97861,x97865))),f341(f341(f257(f888(x97861,x97865),f888(x97861,x97865)),f341(f341(f257(x97861,x97865),x97862),x97866)),f341(f341(f257(x97861,x97865),x97863),x97867))),f333(x97861,x97865,x97864,x97868)))+P1(f341(f341(f344(f888(x97861,x97861)),f341(f341(f257(x97861,x97861),x97862),x97863)),x97864))+P1(f341(f341(f344(f888(x97865,x97865)),f341(f341(f257(x97865,x97865),x97866),x97867)),x97868)) % 197.39/197.43 [9700]~P26(x97007,x97005,x97001,x97008,x97002,x97004)+~P1(f341(f72(x97005),x97006))+E(f341(f341(x97001,f341(x97002,x97003)),f341(x97004,f341(f341(f3(f889(x97005,a874)),x97006),f341(f341(f318(x97005),x97003),f193(f889(x97005,a874)))))),f341(x97004,f341(f341(f318(x97005),x97003),x97006))) % 197.39/197.43 [9219]~P1(f341(f341(f341(x92195,x92198),x92196),x92197))+~P1(f341(f341(f344(x92191),x92198),x92194))+P1(f341(f341(f341(f341(f42(x92191,f889(x92192,f889(x92193,a874))),x92194),x92195),x92196),x92197)) % 197.39/197.43 [9423]P1(f341(f341(f341(x94231,x94232),x94233),x94234))+~P1(f341(f341(f344(x94235),x94232),x94236))+~P1(f341(f341(f341(f341(f43(x94235,f889(x94237,f889(x94238,a874))),x94236),x94231),x94233),x94234)) % 197.39/197.43 [9616]~P25(x96163,x96162,x96164,x96168,x96161)+~P1(f341(f72(x96162),x96167))+E(f341(f341(x96161,f341(f341(f20(x96162,x96163,x96163),f341(f341(f10(x96163,f889(x96163,x96163),x96162),x96164),x96165)),x96166)),x96167),f341(f341(x96164,f341(f341(x96161,x96165),x96167)),f341(f341(x96161,x96166),x96167))) % 197.39/197.43 [9926]~P47(x99262,x99264,x99266,x99268,x992610)+~P47(x99261,x99263,x99265,x99269,x99267)+P47(f889(x99261,x99262),f889(x99263,x99264),f276(x99261,x99261,x99262,x99262,x99265,x99266),f87(x99263,x99261,x99262,x99264,x99267,x99268),f87(x99261,x99263,x99264,x99262,x99269,x992610)) % 197.39/197.43 [10063]~P47(x100632,x100631,x100639,x100636,x100635)+~P47(x100633,x100634,x1006310,x100638,x100637)+E(f341(f87(x100631,x100632,f889(f889(x100632,x100633),x100633),f889(f889(x100631,x100634),x100634),x100635,f87(f889(x100631,x100634),f889(x100632,x100633),x100633,x100634,f87(x100632,x100631,x100634,x100633,x100636,x100637),x100638)),f97(x100632,x100633)),f97(x100631,x100634)) % 197.39/197.43 [10026]P1(f341(f341(x100261,f341(x100262,x100263)),f341(x100264,x100265)))+~P1(f341(f341(x100266,x100263),x100265))+~P1(f341(f341(f276(x100267,x100268,x100269,x1002610,x100266,x100261),x100262),x100264)) % 197.39/197.43 [10112]~P47(x101121,x101128,x101124,x101129,x1011210)+P1(f341(f341(f276(x101121,x101121,x101122,x101123,x101124,x101125),f278(x101121,x101122,f277(x101121,x101124),x101126)),f278(x101121,x101123,f277(x101121,x101124),x101127)))+~P1(f341(f341(f276(x101121,x101121,x101122,x101123,x101124,x101125),x101126),x101127)) % 197.39/197.43 [10114]~P47(x101141,x101148,x101144,x101149,x1011410)+~P1(f341(f341(f276(x101141,x101141,x101142,x101143,x101144,x101145),f278(x101141,x101142,f277(x101141,x101144),x101146)),f278(x101141,x101143,f277(x101141,x101144),x101147)))+P1(f341(f341(f276(x101141,x101141,x101142,x101143,x101144,x101145),x101146),x101147)) % 197.39/197.43 [9868]~E(f341(f341(f317(x98682,x98684),x98686),x98688),x986810)+~E(f341(f341(f317(x98681,x98683),x98685),x98687),x98689)+E(f341(f341(f317(f888(x98681,x98682),f888(x98683,x98684)),f263(x98681,x98683,x98682,x98684,x98685,x98686)),f341(f341(f259(x98681,x98682),x98687),f341(f18(f889(x98682,a874),x98681),x98688))),f341(f341(f259(x98683,x98684),x98689),f341(f18(f889(x98684,a874),x98683),x986810))) % 197.39/197.43 [9922]~P47(x99223,x99224,x992210,x99226,x99228)+~P47(x99222,x99221,x992211,x99227,x99225)+E(f341(f87(x99221,x99222,x99223,x99224,x99225,x99226),f341(f87(x99222,x99221,x99224,x99223,x99227,x99228),x99229)),x99229) % 197.39/197.43 [10006]~P47(x100062,x100061,x100067,x100068,x100065)+~P47(x100063,x100064,x1000611,x100066,x100069)+E(f341(f87(x100061,x100062,x100063,x100064,x100065,x100066),f278(x100062,x100063,f277(x100062,x100067),f341(f87(x100062,x100061,x100064,x100063,x100068,x100069),x1000610))),x1000610) % 197.39/197.43 [9809]~P47(x98093,x98094,x980910,x98096,x98097)+~P47(x98092,x98091,x980911,x98099,x98095)+E(f341(f87(x98091,x98092,x98093,x98094,x98095,x98096),f341(f341(f10(x98094,x98093,x98092),x98097),f341(f341(f10(x98091,x98094,x98092),x98098),x98099))),x98098) % 197.39/197.43 [4825]~P101(x48252)+~P16(x48252,x48251)+P16(x48252,f130(x48252,x48251))+E(x48251,f129(x48252)) % 197.39/197.43 [4826]~P101(x48262)+~P16(x48262,x48261)+P16(x48262,f728(x48261,x48262))+E(x48261,f129(x48262)) % 197.39/197.43 [5062]~P8(x50622)+E(f12(x50622,x50621),f39(x50622,x50621))+E(x50621,f193(f889(x50622,a874)))+~P1(f341(f72(x50622),x50621)) % 197.39/197.43 [5063]~P8(x50632)+E(f13(x50632,x50631),f40(x50632,x50631))+E(x50631,f193(f889(x50632,a874)))+~P1(f341(f72(x50632),x50631)) % 197.39/197.43 [5221]~P101(x52212)+~P16(x52212,x52211)+E(x52211,f129(x52212))+E(f341(f341(f156(x52212),f752(x52211,x52212)),f728(x52211,x52212)),x52211) % 197.39/197.43 [6017]~P95(x60172)+E(x60171,f193(f889(x60172,a874)))+P1(f341(f341(f241(x60172),f13(x60172,x60171)),f12(x60172,x60171)))+~P1(f341(f72(x60172),x60171)) % 197.39/197.43 [9080]~P114(x90801)+~P1(f341(f341(f344(x90801),x90802),f124(x90801)))+P1(f341(f341(f242(x90801),f341(f341(f91(x90801),f341(f341(f91(x90801),f89(x90801)),x90802)),x90802)),f2(x90801)))+~P1(f341(f341(f242(x90801),x90802),f2(x90801))) % 197.39/197.43 [9318]~P114(x93181)+~P1(f341(f341(f344(x93181),x93182),f124(x93181)))+~P1(f341(f341(f242(x93181),f341(f341(f91(x93181),f341(f341(f91(x93181),f89(x93181)),x93182)),x93182)),f2(x93181)))+P1(f341(f341(f242(x93181),x93182),f2(x93181))) % 197.39/197.43 [4880]~P109(x48802)+~P139(x48802)+E(x48801,f2(a881))+E(f341(f341(f251(x48802),f2(x48802)),x48801),f2(x48802)) % 197.39/197.43 [4883]~P109(x48831)+~P139(x48831)+~E(x48832,f2(a881))+E(f341(f341(f251(x48831),f2(x48831)),x48832),f89(x48831)) % 197.39/197.43 [5048]~P136(x50482)+E(x50481,f89(x50482))+E(x50481,f341(f90(x50482),f89(x50482)))+~E(f341(f341(f92(x50482),x50481),x50481),f89(x50482)) % 197.39/197.43 [5294]~P84(x52942)+E(x52941,f2(x52942))+E(f93(x52942,x52941),f341(f90(x52942),f89(x52942)))+P1(f341(f341(f242(x52942),f2(x52942)),x52941)) % 197.39/197.43 [5521]~P84(x55212)+E(f93(x55212,x55211),f89(x55212))+E(x55211,f2(x55212))+~P1(f341(f341(f242(x55212),f2(x55212)),x55211)) % 197.39/197.43 [5530]E(x55301,x55302)+~E(f341(f118(a881),x55301),f341(f118(a881),x55302))+P1(f341(a198,f341(f118(a1),x55302)))+P1(f341(a198,f341(f118(a1),x55301))) % 197.39/197.43 [5568]~P36(x55682)+~P36(x55681)+E(x55681,x55682)+~E(f341(f341(f317(a1,a881),a119),x55681),f341(f341(f317(a1,a881),a119),x55682)) % 197.39/197.43 [5578]~P88(x55781)+~E(x55782,f2(x55781))+E(f341(f341(f91(x55781),x55782),x55782),f2(x55781))+~P1(f341(f341(f344(x55781),x55782),f124(x55781))) % 197.39/197.43 [5612]E(x56121,f2(a1))+~E(f341(f341(f38(a1),x56122),x56121),f2(a1))+P1(f341(f341(f242(a1),x56121),x56122))+P1(f341(f341(f242(a1),x56122),x56121)) % 197.39/197.43 [5642]E(x56421,f2(a1))+~E(f341(f341(f38(a1),x56422),x56421),f2(a1))+P1(f341(f341(f241(a1),x56422),f2(a1)))+P1(f341(f341(f242(a1),x56422),x56421)) % 197.39/197.43 [5674]E(x56741,f2(a1))+~E(f341(f341(f38(a1),x56742),x56741),f2(a1))+P1(f341(f341(f241(a1),f2(a1)),x56742))+P1(f341(f341(f242(a1),x56741),x56742)) % 197.39/197.43 [5710]~P88(x57102)+E(x57101,f2(x57102))+~E(f341(f341(f91(x57102),x57101),x57101),f2(x57102))+~P1(f341(f341(f344(x57102),x57101),f124(x57102))) % 197.39/197.43 [5788]E(f341(f118(a881),x57881),f341(f118(a881),x57882))+~E(f341(f118(a1),x57882),f2(a1))+P1(f341(a198,f341(f118(a1),x57882)))+~P1(f341(a198,f341(f118(a1),x57881))) % 197.39/197.43 [5812]~E(f341(f118(a881),x58122),f341(f118(a881),x58121))+E(f341(f118(a1),x58121),f2(a1))+P1(f341(a198,f341(f118(a1),x58121)))+~P1(f341(a198,f341(f118(a1),x58122))) % 197.39/197.43 [5822]~P101(x58222)+E(x58221,f193(f889(x58222,a874)))+~P1(f341(f72(x58222),x58221))+P1(f341(f341(f344(x58222),f16(x58222,x58221)),x58221)) % 197.39/197.43 [5823]~P101(x58232)+E(x58231,f193(f889(x58232,a874)))+~P1(f341(f72(x58232),x58231))+P1(f341(f341(f344(x58232),f17(x58232,x58231)),x58231)) % 197.39/197.43 [5996]~P114(x59961)+~P89(x59961)+P1(f341(f341(f242(x59961),f2(x59961)),f341(f118(x59961),x59962)))+~P1(f341(f341(f242(a1),a94),x59962)) % 197.39/197.43 [5997]~P114(x59971)+~P89(x59971)+P1(f341(f341(f241(x59971),f2(x59971)),f341(f118(x59971),x59972)))+~P1(f341(f341(f241(a1),a94),x59972)) % 197.39/197.43 [6016]~P114(x60161)+~P89(x60161)+E(f341(f85(x60161),f341(f118(x60161),x60162)),f341(f118(x60161),x60162))+P1(f341(f341(f242(x60161),f341(f118(x60161),x60162)),f2(x60161))) % 197.39/197.43 [6060]E(x60601,x60602)+~E(f341(a119,x60601),f341(a119,x60602))+~P1(f341(f341(f241(a1),f2(a1)),x60602))+~P1(f341(f341(f241(a1),f2(a1)),x60601)) % 197.39/197.43 [6241]~P89(x62412)+~P114(x62412)+~P1(f341(f341(f242(x62412),f2(x62412)),f341(f118(x62412),x62411)))+P1(f341(f341(f242(a1),a94),x62411)) % 197.39/197.43 [6242]~P89(x62422)+~P114(x62422)+~P1(f341(f341(f241(x62422),f2(x62422)),f341(f118(x62422),x62421)))+P1(f341(f341(f241(a1),a94),x62421)) % 197.39/197.43 [6247]~P114(x62471)+~P89(x62471)+P1(f341(f341(f242(x62471),f341(f118(x62471),x62472)),f2(x62471)))+~P1(f341(f341(f242(a1),x62472),a94)) % 197.39/197.43 [6248]~P114(x62481)+~P89(x62481)+P1(f341(f341(f241(x62481),f341(f118(x62481),x62482)),f2(x62481)))+~P1(f341(f341(f241(a1),x62482),a94)) % 197.39/197.43 [6584]~P89(x65842)+~P114(x65842)+~P1(f341(f341(f242(x65842),f341(f118(x65842),x65841)),f2(x65842)))+P1(f341(f341(f242(a1),x65841),a94)) % 197.39/197.43 [6585]~P89(x65852)+~P114(x65852)+~P1(f341(f341(f241(x65852),f341(f118(x65852),x65851)),f2(x65852)))+P1(f341(f341(f241(a1),x65851),a94)) % 197.39/197.43 [6681]~P114(x66811)+~P89(x66811)+E(f341(f85(x66811),f341(f118(x66811),x66812)),f341(f90(x66811),f341(f118(x66811),x66812)))+~P1(f341(f341(f242(x66811),f341(f118(x66811),x66812)),f2(x66811))) % 197.39/197.43 [6701]E(f341(f118(a881),x67011),f341(f118(a881),x67012))+~E(f341(f118(a1),x67012),f2(a1))+~P1(f341(f341(f241(a1),f341(f118(a1),x67011)),f2(a1)))+~P1(f341(a198,f341(f118(a1),x67011))) % 197.39/197.43 [7108]P1(f341(f341(f294(a881),f341(a119,x71081)),f341(a119,x71082)))+~P1(f341(f341(f241(a1),f2(a1)),x71082))+~P1(f341(f341(f241(a1),f2(a1)),x71081))+~P1(f341(f341(f294(a1),x71081),x71082)) % 197.39/197.43 [7333]~P1(f341(f341(f294(a881),f341(a119,x73331)),f341(a119,x73332)))+~P1(f341(f341(f241(a1),f2(a1)),x73332))+~P1(f341(f341(f241(a1),f2(a1)),x73331))+P1(f341(f341(f294(a1),x73331),x73332)) % 197.39/197.43 [7579]~P101(x75792)+E(x75791,f193(f889(x75792,a874)))+~P1(f341(f72(x75792),x75791))+P1(f341(f341(f241(x75792),f14(x75792,f246(x75792),x75791)),f15(x75792,f192(x75792),x75791))) % 197.39/197.43 [5818]~P113(x58182)+E(x58181,f2(a1))+E(f341(f90(x58182),f341(f117(x58182),f341(f90(a1),x58181))),f341(f117(x58182),x58181))+~P1(f341(f341(f242(a1),x58181),f2(a1))) % 197.39/197.43 [5897]~P88(x58971)+~P89(x58971)+~P29(x58971,f341(f118(x58971),x58972))+P29(x58971,f341(f118(x58971),f341(f341(f91(a1),x58972),x58972))) % 197.39/197.43 [6031]~P71(x60312)+E(x60311,f193(f889(x60312,a874)))+E(f17(x60312,f341(f341(f317(x60312,x60312),f90(x60312)),x60311)),f341(f90(x60312),f16(x60312,x60311)))+~P1(f341(f72(x60312),x60311)) % 197.39/197.43 [6032]~P71(x60322)+E(x60321,f193(f889(x60322,a874)))+E(f16(x60322,f341(f341(f317(x60322,x60322),f90(x60322)),x60321)),f341(f90(x60322),f17(x60322,x60321)))+~P1(f341(f72(x60322),x60321)) % 197.39/197.43 [6262]~P88(x62621)+~P89(x62621)+P29(x62621,f341(f118(x62621),x62622))+~P29(x62621,f341(f118(x62621),f341(f341(f91(a1),x62622),x62622))) % 197.39/197.43 [6365]E(x63651,f2(a1))+E(f341(a63,f62(f341(f90(a1),x63651),f341(f90(a1),x63652))),f58(x63651,x63652))+P1(f341(f341(f241(a1),f2(a1)),x63652))+~P1(f341(f341(f241(a1),f2(a1)),x63651)) % 197.39/197.43 [7482]~P9(x74821)+~P36(x74822)+P1(f341(f341(f344(a1),x74821),x74822))+~P1(f341(f341(f344(a881),f341(a119,x74821)),f341(f341(f317(a1,a881),a119),x74822))) % 197.39/197.43 [8403]~P36(x84032)+~P36(x84031)+~P1(f341(f341(f242(f889(a1,a874)),x84031),x84032))+P1(f341(f341(f242(f889(a881,a874)),f341(f341(f317(a1,a881),a119),x84031)),f341(f341(f317(a1,a881),a119),x84032))) % 197.39/197.43 [8742]~P36(x87422)+~P36(x87421)+~P1(f341(f341(f242(f889(a881,a874)),f341(f341(f317(a1,a881),a119),x87421)),f341(f341(f317(a1,a881),a119),x87422)))+P1(f341(f341(f242(f889(a1,a874)),x87421),x87422)) % 197.39/197.43 [8743]~P36(x87432)+~P36(x87431)+~P1(f341(f341(f241(f889(a881,a874)),f341(f341(f317(a1,a881),a119),x87431)),f341(f341(f317(a1,a881),a119),x87432)))+P1(f341(f341(f241(f889(a1,a874)),x87431),x87432)) % 197.39/197.43 [8918]~E(f775(x89182,x89181),f776(x89182,x89181))+~P1(f341(f142(x89181),f777(x89182,x89181)))+~P1(f341(f142(f883(x89181)),x89182))+P1(f341(f142(x89181),f341(f147(f883(x89181),f883(x89181),f137(x89181),f129(x89181)),x89182))) % 197.39/197.43 [9011]~E(f775(x90112,x90111),f776(x90112,x90111))+~P1(f341(f142(f883(x90111)),x90112))+P1(f341(f142(x90111),f341(f147(f883(x90111),f883(x90111),f137(x90111),f129(x90111)),x90112)))+P1(f341(f341(f344(f883(x90111)),f777(x90112,x90111)),f341(f176(f883(x90111)),x90112))) % 197.39/197.43 [9052]~P1(f341(f142(x90521),f777(x90522,x90521)))+~P1(f341(f142(f883(x90521)),x90522))+P1(f341(f142(x90521),f341(f147(f883(x90521),f883(x90521),f137(x90521),f129(x90521)),x90522)))+P1(f341(f341(f344(f883(x90521)),f776(x90522,x90521)),f341(f176(f883(x90521)),x90522))) % 197.39/197.43 [9053]~P1(f341(f142(x90531),f777(x90532,x90531)))+~P1(f341(f142(f883(x90531)),x90532))+P1(f341(f142(x90531),f341(f147(f883(x90531),f883(x90531),f137(x90531),f129(x90531)),x90532)))+P1(f341(f341(f344(f883(x90531)),f775(x90532,x90531)),f341(f176(f883(x90531)),x90532))) % 197.39/197.43 [9118]~P1(f341(f142(f883(x91181)),x91182))+P1(f341(f142(x91181),f341(f147(f883(x91181),f883(x91181),f137(x91181),f129(x91181)),x91182)))+P1(f341(f341(f344(f883(x91181)),f776(x91182,x91181)),f341(f176(f883(x91181)),x91182)))+P1(f341(f341(f344(f883(x91181)),f777(x91182,x91181)),f341(f176(f883(x91181)),x91182))) % 197.39/197.43 [9119]~P1(f341(f142(f883(x91191)),x91192))+P1(f341(f142(x91191),f341(f147(f883(x91191),f883(x91191),f137(x91191),f129(x91191)),x91192)))+P1(f341(f341(f344(f883(x91191)),f775(x91192,x91191)),f341(f176(f883(x91191)),x91192)))+P1(f341(f341(f344(f883(x91191)),f777(x91192,x91191)),f341(f176(f883(x91191)),x91192))) % 197.39/197.43 [9133]~E(f341(f341(f126(f889(x91331,a874)),f341(f176(x91331),f776(x91332,x91331))),f341(f176(x91331),f775(x91332,x91331))),f193(f889(x91331,a874)))+~P1(f341(f142(x91331),f777(x91332,x91331)))+~P1(f341(f142(f883(x91331)),x91332))+P1(f341(f142(x91331),f341(f147(f883(x91331),f883(x91331),f137(x91331),f129(x91331)),x91332))) % 197.39/197.43 [9199]~E(f341(f341(f126(f889(x91991,a874)),f341(f176(x91991),f776(x91992,x91991))),f341(f176(x91991),f775(x91992,x91991))),f193(f889(x91991,a874)))+~P1(f341(f142(f883(x91991)),x91992))+P1(f341(f142(x91991),f341(f147(f883(x91991),f883(x91991),f137(x91991),f129(x91991)),x91992)))+P1(f341(f341(f344(f883(x91991)),f777(x91992,x91991)),f341(f176(f883(x91991)),x91992))) % 197.39/197.43 [9469]E(x94691,f2(a1))+E(x94692,f2(a1))+E(f341(f341(f97(a1,f888(a1,a1)),f341(f341(a224,x94692),x94691)),f341(f341(f20(a1,a1,f888(a1,a1)),f341(f341(f10(a1,f889(a1,f888(a1,a1)),a1),f257(a1,a1)),f341(f38(a1),x94692))),f341(f38(a1),x94691))),f222(x94692,x94691))+P1(f341(f341(f242(a1),x94691),f2(a1))) % 197.39/197.43 [8231]~P89(x82312)+~P114(x82312)+~P1(f341(f341(f242(x82312),f341(f118(x82312),x82311)),f89(x82312)))+P1(f341(f341(f242(a1),x82311),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))) % 197.39/197.43 [8232]~P89(x82322)+~P114(x82322)+~P1(f341(f341(f241(x82322),f341(f118(x82322),x82321)),f89(x82322)))+P1(f341(f341(f241(a1),x82321),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))) % 197.39/197.43 [8505]~P114(x85051)+~P89(x85051)+P1(f341(f341(f242(x85051),f341(f118(x85051),x85052)),f89(x85051)))+~P1(f341(f341(f242(a1),x85052),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))) % 197.39/197.43 [8506]~P114(x85061)+~P89(x85061)+P1(f341(f341(f241(x85061),f341(f118(x85061),x85062)),f89(x85061)))+~P1(f341(f341(f241(a1),x85062),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))) % 197.39/197.43 [8707]~P89(x87072)+~P114(x87072)+~P1(f341(f341(f242(x87072),f89(x87072)),f341(f118(x87072),x87071)))+P1(f341(f341(f242(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),x87071)) % 197.39/197.43 [8708]~P89(x87082)+~P114(x87082)+~P1(f341(f341(f241(x87082),f89(x87082)),f341(f118(x87082),x87081)))+P1(f341(f341(f241(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),x87081)) % 197.39/197.43 [9081]~P114(x90811)+~P89(x90811)+P1(f341(f341(f242(x90811),f89(x90811)),f341(f118(x90811),x90812)))+~P1(f341(f341(f242(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),x90812)) % 197.39/197.43 [9082]~P114(x90821)+~P89(x90821)+P1(f341(f341(f241(x90821),f89(x90821)),f341(f118(x90821),x90822)))+~P1(f341(f341(f241(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),x90822)) % 197.39/197.43 [9591]~P136(x95912)+E(x95911,f89(x95912))+E(x95911,f341(f90(x95912),f89(x95912)))+~E(f341(f341(f251(x95912),x95911),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f89(x95912)) % 197.39/197.43 [9843]~P89(x98431)+~P65(x98431)+~P1(f341(f341(f242(x98431),f2(x98431)),x98432))+P1(f341(f341(f242(x98431),f2(x98431)),f341(f341(f298(x98431),x98432),f341(f118(x98431),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))) % 197.39/197.43 [9894]~P89(x98941)+~P65(x98941)+P1(f341(f341(f242(x98941),f2(x98941)),x98942))+~P1(f341(f341(f242(x98941),f2(x98941)),f341(f341(f298(x98941),x98942),f341(f118(x98941),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))) % 197.39/197.43 [10222]~P113(x102222)+E(x102221,f2(a1))+P1(f341(f341(f242(a1),x102221),f2(a1)))+E(f341(f341(f262(a1,a1,x102222),f341(f341(f9(a1,f889(a1,f889(x102222,x102222)),f889(a1,x102222)),f341(f341(f10(f889(f889(x102222,x102222),x102222),f889(f889(a1,f889(x102222,x102222)),f889(a1,x102222)),a1),f10(f889(x102222,x102222),x102222,a1)),f341(f341(f10(x102222,f889(f889(x102222,x102222),x102222),a1),f97(x102222,x102222)),f117(x102222)))),f341(f341(f9(a1,f889(x102222,x102222),f889(x102222,x102222)),f341(f341(f10(f889(x102222,f889(x102222,x102222)),f889(f889(x102222,x102222),f889(x102222,x102222)),a1),f20(x102222,x102222,x102222)),f341(f341(f9(a1,f889(x102222,x102222),f889(x102222,f889(x102222,x102222))),f341(f341(f10(f889(x102222,f889(x102222,x102222)),f889(f889(x102222,x102222),f889(x102222,f889(x102222,x102222))),a1),f10(x102222,f889(x102222,x102222),x102222)),f341(f341(f10(a874,f889(x102222,f889(x102222,x102222)),a1),f111(x102222)),f341(f341(f9(a1,a1,a874),a338),f2(a1))))),f341(f341(f20(x102222,x102222,x102222),f91(x102222)),f7(x102222))))),f341(f341(f9(x102222,x102222,x102222),f341(f341(f10(x102222,f889(x102222,x102222),x102222),f91(x102222)),f341(f341(f20(x102222,x102222,x102222),f91(x102222)),f7(x102222)))),f89(x102222))))),f58(x102221,f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f117(x102222),x102221)) % 197.39/197.43 [5073]~P8(x50733)+~P35(x50733,x50733,x50731)+E(f341(x50731,x50732),x50732)+~E(x50732,f113(x50733,x50731)) % 197.39/197.43 [5074]~P8(x50743)+~P35(x50743,x50743,x50741)+E(f341(x50741,x50742),x50742)+~E(x50742,f112(x50743,x50741)) % 197.39/197.43 [4851]~P88(x48513)+~P89(x48513)+E(x48511,x48512)+~E(f341(f118(x48513),x48511),f341(f118(x48513),x48512)) % 197.39/197.43 [6006]~P1(f341(x60061,x60062))+~P1(f341(x60061,x60063))+~P1(f341(f341(f241(a881),x60063),f837(x60062,x60061)))+P1(f341(x60061,f2(a881))) % 197.39/197.43 [6434]P142(x64342,x64341,x64343)+E(x64341,f2(a1))+P1(f341(f341(f241(a1),f2(a1)),f805(x64343,x64341,x64342)))+P1(f341(f341(f242(a1),x64341),f2(a1))) % 197.39/197.43 [6435]P143(x64352,x64351,x64353)+E(x64351,f2(a1))+P1(f341(f341(f241(a1),f2(a1)),f822(x64353,x64351,x64352)))+P1(f341(f341(f242(a1),x64351),f2(a1))) % 197.39/197.43 [6561]P142(x65611,x65612,x65613)+~P1(f341(x65611,x65613))+P1(f341(f341(f241(a1),f2(a1)),f805(x65613,x65612,x65611)))+P1(f341(f341(f242(a1),x65612),f2(a1))) % 197.39/197.43 [6590]P143(x65901,x65902,x65903)+P1(f341(f341(f241(a1),f2(a1)),f822(x65903,x65902,x65901)))+~P1(f341(x65901,f2(a1)))+P1(f341(f341(f242(a1),x65902),f2(a1))) % 197.39/197.43 [6623]P142(x66232,x66231,x66233)+E(x66231,f2(a1))+~P1(f341(x66232,f805(x66233,x66231,x66232)))+P1(f341(f341(f242(a1),x66231),f2(a1))) % 197.39/197.43 [6624]P143(x66242,x66241,x66243)+E(x66241,f2(a1))+~P1(f341(x66242,f823(x66243,x66241,x66242)))+P1(f341(f341(f242(a1),x66241),f2(a1))) % 197.39/197.43 [6724]~P101(x67241)+~P8(x67241)+~P1(f341(f341(f242(x67241),x67242),f39(x67241,x67243)))+P1(f341(f341(f242(x67241),x67242),f690(x67243,x67242,x67241))) % 197.39/197.43 [6734]P142(x67341,x67342,x67343)+~P1(f341(x67341,x67343))+~P1(f341(x67341,f805(x67343,x67342,x67341)))+P1(f341(f341(f242(a1),x67342),f2(a1))) % 197.39/197.43 [6763]P143(x67631,x67632,x67633)+~P1(f341(x67631,f823(x67633,x67632,x67631)))+~P1(f341(x67631,f2(a1)))+P1(f341(f341(f242(a1),x67632),f2(a1))) % 197.39/197.43 [7027]P142(x70272,x70271,x70273)+E(x70271,f2(a1))+P1(f341(f341(f241(a1),f2(a1)),f805(x70273,x70271,x70272)))+P1(f341(f341(f242(a1),x70271),f804(x70273,x70271,x70272))) % 197.39/197.43 [7028]P143(x70282,x70281,x70283)+E(x70281,f2(a1))+P1(f341(f341(f241(a1),f2(a1)),f822(x70283,x70281,x70282)))+P1(f341(f341(f242(a1),x70281),f821(x70283,x70281,x70282))) % 197.39/197.43 [7149]P142(x71491,x71492,x71493)+~P1(f341(x71491,x71493))+P1(f341(f341(f241(a1),f2(a1)),f805(x71493,x71492,x71491)))+P1(f341(f341(f242(a1),x71492),f804(x71493,x71492,x71491))) % 197.39/197.43 [7169]P143(x71691,x71692,x71693)+P1(f341(f341(f241(a1),f2(a1)),f822(x71693,x71692,x71691)))+P1(f341(f341(f242(a1),x71692),f821(x71693,x71692,x71691)))+~P1(f341(x71691,f2(a1))) % 197.39/197.43 [7199]P142(x71992,x71991,x71993)+E(x71991,f2(a1))+~P1(f341(x71992,f805(x71993,x71991,x71992)))+P1(f341(f341(f242(a1),x71991),f804(x71993,x71991,x71992))) % 197.39/197.43 [7200]P143(x72002,x72001,x72003)+E(x72001,f2(a1))+~P1(f341(x72002,f823(x72003,x72001,x72002)))+P1(f341(f341(f242(a1),x72001),f821(x72003,x72001,x72002))) % 197.39/197.43 [7237]P142(x72372,x72371,x72373)+E(x72371,f2(a1))+P1(f341(f341(f241(a1),f2(a1)),f805(x72373,x72371,x72372)))+~P1(f341(x72372,f804(x72373,x72371,x72372))) % 197.39/197.43 [7238]P143(x72382,x72381,x72383)+E(x72381,f2(a1))+P1(f341(f341(f241(a1),f2(a1)),f822(x72383,x72381,x72382)))+~P1(f341(x72382,f824(x72383,x72381,x72382))) % 197.39/197.43 [7330]P142(x73301,x73302,x73303)+~P1(f341(x73301,x73303))+~P1(f341(x73301,f805(x73303,x73302,x73301)))+P1(f341(f341(f242(a1),x73302),f804(x73303,x73302,x73301))) % 197.39/197.43 [7348]P143(x73481,x73482,x73483)+~P1(f341(x73481,f823(x73483,x73482,x73481)))+P1(f341(f341(f242(a1),x73482),f821(x73483,x73482,x73481)))+~P1(f341(x73481,f2(a1))) % 197.39/197.43 [7352]P142(x73521,x73522,x73523)+~P1(f341(x73521,x73523))+P1(f341(f341(f241(a1),f2(a1)),f805(x73523,x73522,x73521)))+~P1(f341(x73521,f804(x73523,x73522,x73521))) % 197.39/197.43 [7370]P143(x73701,x73702,x73703)+P1(f341(f341(f241(a1),f2(a1)),f822(x73703,x73702,x73701)))+~P1(f341(x73701,f824(x73703,x73702,x73701)))+~P1(f341(x73701,f2(a1))) % 197.39/197.43 [7393]P142(x73932,x73931,x73933)+E(x73931,f2(a1))+~P1(f341(x73932,f805(x73933,x73931,x73932)))+~P1(f341(x73932,f804(x73933,x73931,x73932))) % 197.39/197.43 [7394]P143(x73942,x73941,x73943)+E(x73941,f2(a1))+~P1(f341(x73942,f823(x73943,x73941,x73942)))+~P1(f341(x73942,f824(x73943,x73941,x73942))) % 197.39/197.43 [7472]P142(x74721,x74722,x74723)+~P1(f341(x74721,x74723))+~P1(f341(x74721,f805(x74723,x74722,x74721)))+~P1(f341(x74721,f804(x74723,x74722,x74721))) % 197.39/197.43 [7492]P143(x74921,x74922,x74923)+~P1(f341(x74921,f823(x74923,x74922,x74921)))+~P1(f341(x74921,f824(x74923,x74922,x74921)))+~P1(f341(x74921,f2(a1))) % 197.39/197.43 [7539]P142(x75392,x75391,x75393)+E(x75391,f2(a1))+P1(f341(f341(f241(a1),f2(a1)),f805(x75393,x75391,x75392)))+P1(f341(f341(f241(a1),f804(x75393,x75391,x75392)),f2(a1))) % 197.39/197.43 [7540]P143(x75402,x75401,x75403)+E(x75401,f2(a1))+P1(f341(f341(f241(a1),f2(a1)),f822(x75403,x75401,x75402)))+P1(f341(f341(f241(a1),f821(x75403,x75401,x75402)),f2(a1))) % 197.39/197.43 [7541]~P113(x75411)+~P1(f341(f341(f344(x75411),x75413),f124(x75411)))+~P1(f341(f341(f344(x75411),x75412),f124(x75411)))+P1(f341(f341(f344(x75411),f341(f341(f91(x75411),x75412),x75413)),f124(x75411))) % 197.39/197.43 [7542]~P2(x75421)+~P1(f341(f341(f344(x75421),x75423),f189(x75421)))+~P1(f341(f341(f344(x75421),x75422),f189(x75421)))+P1(f341(f341(f344(x75421),f341(f341(f91(x75421),x75422),x75423)),f189(x75421))) % 197.39/197.43 [7543]~P113(x75431)+~P1(f341(f341(f344(x75431),x75433),f124(x75431)))+~P1(f341(f341(f344(x75431),x75432),f124(x75431)))+P1(f341(f341(f344(x75431),f341(f341(f92(x75431),x75432),x75433)),f124(x75431))) % 197.39/197.43 [7544]~P2(x75441)+~P1(f341(f341(f344(x75441),x75443),f189(x75441)))+~P1(f341(f341(f344(x75441),x75442),f189(x75441)))+P1(f341(f341(f344(x75441),f341(f341(f92(x75441),x75442),x75443)),f189(x75441))) % 197.39/197.43 [7545]~P113(x75451)+~P1(f341(f341(f344(x75451),x75453),f124(x75451)))+~P1(f341(f341(f344(x75451),x75452),f124(x75451)))+P1(f341(f341(f344(x75451),f341(f341(f3(x75451),x75452),x75453)),f124(x75451))) % 197.39/197.43 [7546]~P83(x75461)+~P1(f341(f341(f242(x75461),x75463),f2(x75461)))+~P1(f341(f341(f242(x75461),x75462),f2(x75461)))+P1(f341(f341(f242(x75461),f341(f341(f91(x75461),x75462),x75463)),f2(x75461))) % 197.39/197.43 [7547]~P83(x75471)+~P1(f341(f341(f241(x75471),x75472),f2(x75471)))+~P1(f341(f341(f242(x75471),x75473),f2(x75471)))+P1(f341(f341(f242(x75471),f341(f341(f91(x75471),x75472),x75473)),f2(x75471))) % 197.39/197.43 [7548]~P83(x75481)+~P1(f341(f341(f241(x75481),x75483),f2(x75481)))+~P1(f341(f341(f242(x75481),x75482),f2(x75481)))+P1(f341(f341(f242(x75481),f341(f341(f91(x75481),x75482),x75483)),f2(x75481))) % 197.39/197.43 [7549]~P83(x75491)+~P1(f341(f341(f241(x75491),x75493),f2(x75491)))+~P1(f341(f341(f241(x75491),x75492),f2(x75491)))+P1(f341(f341(f241(x75491),f341(f341(f91(x75491),x75492),x75493)),f2(x75491))) % 197.39/197.43 [7575]P142(x75753,x75751,x75752)+E(x75751,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x75751),f817(x75752,x75751,x75753))),f805(x75752,x75751,x75753)),x75752)+P1(f341(f341(f242(a1),x75751),f2(a1))) % 197.39/197.43 [7576]P143(x75763,x75761,x75762)+E(x75761,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x75761),f823(x75762,x75761,x75763))),f822(x75762,x75761,x75763)),x75762)+P1(f341(f341(f242(a1),x75761),f2(a1))) % 197.39/197.43 [7658]P142(x76581,x76582,x76583)+~P1(f341(x76581,x76583))+P1(f341(f341(f241(a1),f2(a1)),f805(x76583,x76582,x76581)))+P1(f341(f341(f241(a1),f804(x76583,x76582,x76581)),f2(a1))) % 197.39/197.43 [7688]P143(x76881,x76882,x76883)+P1(f341(f341(f241(a1),f2(a1)),f822(x76883,x76882,x76881)))+~P1(f341(x76881,f2(a1)))+P1(f341(f341(f241(a1),f821(x76883,x76882,x76881)),f2(a1))) % 197.39/197.43 [7698]P142(x76983,x76981,x76982)+~P1(f341(x76983,x76982))+E(f341(f341(f91(a1),f341(f341(f92(a1),x76981),f817(x76982,x76981,x76983))),f805(x76982,x76981,x76983)),x76982)+P1(f341(f341(f242(a1),x76981),f2(a1))) % 197.39/197.43 [7705]P142(x77052,x77051,x77053)+E(x77051,f2(a1))+~P1(f341(x77052,f805(x77053,x77051,x77052)))+P1(f341(f341(f241(a1),f804(x77053,x77051,x77052)),f2(a1))) % 197.39/197.43 [7706]P143(x77062,x77061,x77063)+E(x77061,f2(a1))+~P1(f341(x77062,f823(x77063,x77061,x77062)))+P1(f341(f341(f241(a1),f821(x77063,x77061,x77062)),f2(a1))) % 197.39/197.43 [7711]P143(x77113,x77111,x77112)+E(f341(f341(f91(a1),f341(f341(f92(a1),x77111),f823(x77112,x77111,x77113))),f822(x77112,x77111,x77113)),x77112)+~P1(f341(x77113,f2(a1)))+P1(f341(f341(f242(a1),x77111),f2(a1))) % 197.39/197.43 [7764]P142(x77641,x77642,x77643)+~P1(f341(x77641,x77643))+~P1(f341(x77641,f805(x77643,x77642,x77641)))+P1(f341(f341(f241(a1),f804(x77643,x77642,x77641)),f2(a1))) % 197.39/197.43 [7768]P143(x77681,x77682,x77683)+~P1(f341(x77681,f823(x77683,x77682,x77681)))+~P1(f341(x77681,f2(a1)))+P1(f341(f341(f241(a1),f821(x77683,x77682,x77681)),f2(a1))) % 197.39/197.43 [7833]~P65(x78331)+~P1(f341(f341(f242(x78331),f341(f341(f298(x78331),x78333),x78332)),f2(x78331)))+P1(f341(f341(f242(x78331),x78332),f2(x78331)))+P1(f341(f341(f242(x78331),x78333),f2(x78331))) % 197.39/197.43 [7834]~P122(x78341)+~P1(f341(f341(f241(x78341),f341(f341(f92(x78341),x78343),x78342)),f2(x78341)))+P1(f341(f341(f241(x78341),x78342),f2(x78341)))+P1(f341(f341(f241(x78341),x78343),f2(x78341))) % 197.39/197.43 [7835]~P65(x78351)+~P1(f341(f341(f241(x78351),f341(f341(f298(x78351),x78353),x78352)),f2(x78351)))+P1(f341(f341(f241(x78351),x78352),f2(x78351)))+P1(f341(f341(f241(x78351),x78353),f2(x78351))) % 197.39/197.43 [7946]P142(x79463,x79461,x79462)+E(x79461,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x79461),f817(x79462,x79461,x79463))),f805(x79462,x79461,x79463)),x79462)+P1(f341(f341(f242(a1),x79461),f804(x79462,x79461,x79463))) % 197.39/197.43 [7947]P143(x79473,x79471,x79472)+E(x79471,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x79471),f823(x79472,x79471,x79473))),f822(x79472,x79471,x79473)),x79472)+P1(f341(f341(f242(a1),x79471),f821(x79472,x79471,x79473))) % 197.39/197.43 [7962]P142(x79623,x79621,x79622)+E(x79621,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x79621),f820(x79622,x79621,x79623))),f804(x79622,x79621,x79623)),x79622)+P1(f341(f341(f241(a1),f2(a1)),f805(x79622,x79621,x79623))) % 197.39/197.43 [7963]P143(x79633,x79631,x79632)+E(x79631,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x79631),f824(x79632,x79631,x79633))),f821(x79632,x79631,x79633)),x79632)+P1(f341(f341(f241(a1),f2(a1)),f822(x79632,x79631,x79633))) % 197.39/197.43 [8007]P142(x80073,x80071,x80072)+~P1(f341(x80073,x80072))+E(f341(f341(f91(a1),f341(f341(f92(a1),x80071),f817(x80072,x80071,x80073))),f805(x80072,x80071,x80073)),x80072)+P1(f341(f341(f242(a1),x80071),f804(x80072,x80071,x80073))) % 197.39/197.43 [8018]P143(x80183,x80181,x80182)+E(f341(f341(f91(a1),f341(f341(f92(a1),x80181),f823(x80182,x80181,x80183))),f822(x80182,x80181,x80183)),x80182)+P1(f341(f341(f242(a1),x80181),f821(x80182,x80181,x80183)))+~P1(f341(x80183,f2(a1))) % 197.39/197.43 [8024]P142(x80243,x80241,x80242)+~P1(f341(x80243,x80242))+E(f341(f341(f91(a1),f341(f341(f92(a1),x80241),f820(x80242,x80241,x80243))),f804(x80242,x80241,x80243)),x80242)+P1(f341(f341(f241(a1),f2(a1)),f805(x80242,x80241,x80243))) % 197.39/197.43 [8033]P143(x80333,x80331,x80332)+E(f341(f341(f91(a1),f341(f341(f92(a1),x80331),f824(x80332,x80331,x80333))),f821(x80332,x80331,x80333)),x80332)+P1(f341(f341(f241(a1),f2(a1)),f822(x80332,x80331,x80333)))+~P1(f341(x80333,f2(a1))) % 197.39/197.43 [8043]P142(x80433,x80431,x80432)+E(x80431,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x80431),f817(x80432,x80431,x80433))),f805(x80432,x80431,x80433)),x80432)+~P1(f341(x80433,f804(x80432,x80431,x80433))) % 197.39/197.43 [8044]P143(x80443,x80441,x80442)+E(x80441,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x80441),f823(x80442,x80441,x80443))),f822(x80442,x80441,x80443)),x80442)+~P1(f341(x80443,f824(x80442,x80441,x80443))) % 197.39/197.43 [8045]P142(x80453,x80451,x80452)+E(x80451,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x80451),f820(x80452,x80451,x80453))),f804(x80452,x80451,x80453)),x80452)+~P1(f341(x80453,f805(x80452,x80451,x80453))) % 197.39/197.43 [8046]P143(x80463,x80461,x80462)+E(x80461,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x80461),f824(x80462,x80461,x80463))),f821(x80462,x80461,x80463)),x80462)+~P1(f341(x80463,f823(x80462,x80461,x80463))) % 197.39/197.43 [8104]P142(x81043,x81041,x81042)+~P1(f341(x81043,x81042))+E(f341(f341(f91(a1),f341(f341(f92(a1),x81041),f817(x81042,x81041,x81043))),f805(x81042,x81041,x81043)),x81042)+~P1(f341(x81043,f804(x81042,x81041,x81043))) % 197.39/197.43 [8105]P142(x81053,x81051,x81052)+~P1(f341(x81053,x81052))+E(f341(f341(f91(a1),f341(f341(f92(a1),x81051),f820(x81052,x81051,x81053))),f804(x81052,x81051,x81053)),x81052)+~P1(f341(x81053,f805(x81052,x81051,x81053))) % 197.39/197.43 [8117]P143(x81173,x81171,x81172)+E(f341(f341(f91(a1),f341(f341(f92(a1),x81171),f823(x81172,x81171,x81173))),f822(x81172,x81171,x81173)),x81172)+~P1(f341(x81173,f824(x81172,x81171,x81173)))+~P1(f341(x81173,f2(a1))) % 197.39/197.43 [8118]P143(x81183,x81181,x81182)+E(f341(f341(f91(a1),f341(f341(f92(a1),x81181),f824(x81182,x81181,x81183))),f821(x81182,x81181,x81183)),x81182)+~P1(f341(x81183,f823(x81182,x81181,x81183)))+~P1(f341(x81183,f2(a1))) % 197.39/197.43 [8224]P142(x82243,x82241,x82242)+E(x82241,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x82241),f817(x82242,x82241,x82243))),f805(x82242,x82241,x82243)),x82242)+P1(f341(f341(f241(a1),f804(x82242,x82241,x82243)),f2(a1))) % 197.39/197.43 [8225]P143(x82253,x82251,x82252)+E(x82251,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x82251),f823(x82252,x82251,x82253))),f822(x82252,x82251,x82253)),x82252)+P1(f341(f341(f241(a1),f821(x82252,x82251,x82253)),f2(a1))) % 197.39/197.43 [8256]P142(x82563,x82561,x82562)+~P1(f341(x82563,x82562))+E(f341(f341(f91(a1),f341(f341(f92(a1),x82561),f817(x82562,x82561,x82563))),f805(x82562,x82561,x82563)),x82562)+P1(f341(f341(f241(a1),f804(x82562,x82561,x82563)),f2(a1))) % 197.39/197.43 [8264]P143(x82643,x82641,x82642)+E(f341(f341(f91(a1),f341(f341(f92(a1),x82641),f823(x82642,x82641,x82643))),f822(x82642,x82641,x82643)),x82642)+~P1(f341(x82643,f2(a1)))+P1(f341(f341(f241(a1),f821(x82642,x82641,x82643)),f2(a1))) % 197.39/197.43 [8391]P142(x83913,x83911,x83912)+E(x83911,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x83911),f820(x83912,x83911,x83913))),f804(x83912,x83911,x83913)),x83912)+E(f341(f341(f91(a1),f341(f341(f92(a1),x83911),f817(x83912,x83911,x83913))),f805(x83912,x83911,x83913)),x83912) % 197.39/197.43 [8392]P143(x83923,x83921,x83922)+E(x83921,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x83921),f824(x83922,x83921,x83923))),f821(x83922,x83921,x83923)),x83922)+E(f341(f341(f91(a1),f341(f341(f92(a1),x83921),f823(x83922,x83921,x83923))),f822(x83922,x83921,x83923)),x83922) % 197.39/197.43 [8421]P142(x84213,x84211,x84212)+~P1(f341(x84213,x84212))+E(f341(f341(f91(a1),f341(f341(f92(a1),x84211),f820(x84212,x84211,x84213))),f804(x84212,x84211,x84213)),x84212)+E(f341(f341(f91(a1),f341(f341(f92(a1),x84211),f817(x84212,x84211,x84213))),f805(x84212,x84211,x84213)),x84212) % 197.39/197.43 [8432]P143(x84323,x84321,x84322)+E(f341(f341(f91(a1),f341(f341(f92(a1),x84321),f824(x84322,x84321,x84323))),f821(x84322,x84321,x84323)),x84322)+E(f341(f341(f91(a1),f341(f341(f92(a1),x84321),f823(x84322,x84321,x84323))),f822(x84322,x84321,x84323)),x84322)+~P1(f341(x84323,f2(a1))) % 197.39/197.43 [9086]~P122(x90861)+~E(x90863,f2(x90861))+~E(x90862,f2(x90861))+P1(f341(f341(f241(x90861),f341(f341(f91(x90861),f341(f341(f92(x90861),x90862),x90862)),f341(f341(f92(x90861),x90863),x90863))),f2(x90861))) % 197.39/197.43 [10167]~P114(x101671)+~E(x101673,f2(x101671))+~E(x101672,f2(x101671))+P1(f341(f341(f241(x101671),f341(f341(f91(x101671),f341(f341(f251(x101671),x101672),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x101671),x101673),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))),f2(x101671))) % 197.39/197.43 [4801]~E(x48013,x48011)+~P118(x48012)+E(x48011,f2(x48012))+E(f341(f341(f298(x48012),x48013),x48011),f89(x48012)) % 197.39/197.43 [4852]~P97(x48521)+~E(x48523,f193(x48521))+~E(x48522,f193(x48521))+E(f341(f341(f125(x48521),x48522),x48523),f193(x48521)) % 197.39/197.43 [4853]~P96(x48531)+~E(x48533,f249(x48531))+~E(x48532,f249(x48531))+E(f341(f341(f126(x48531),x48532),x48533),f249(x48531)) % 197.39/197.43 [4942]~P118(x49423)+E(x49421,x49422)+E(x49422,f2(x49423))+~E(f341(f341(f298(x49423),x49421),x49422),f89(x49423)) % 197.39/197.43 [4958]~P127(x49582)+E(x49581,f2(x49582))+E(x49583,f2(x49582))+~E(f341(f341(f92(x49582),x49583),x49581),f2(x49582)) % 197.39/197.43 [4959]~P137(x49592)+E(x49591,f2(x49592))+E(x49593,f2(x49592))+~E(f341(f341(f92(x49592),x49593),x49591),f2(x49592)) % 197.39/197.43 [5326]~P116(x53263)+E(x53261,x53262)+E(x53261,f341(f90(x53263),x53262))+~E(f341(f341(f92(x53263),x53261),x53261),f341(f341(f92(x53263),x53262),x53262)) % 197.39/197.43 [5362]~P92(x53621)+E(f341(f90(x53621),x53622),x53623)+~E(f341(f341(f125(x53621),x53622),x53623),f249(x53621))+~E(f341(f341(f126(x53621),x53622),x53623),f193(x53621)) % 197.39/197.43 [5441]~P114(x54413)+E(x54411,x54412)+P1(f341(f341(f242(x54413),x54412),x54411))+P1(f341(f341(f242(x54413),x54411),x54412)) % 197.39/197.43 [5447]~P101(x54473)+E(x54471,x54472)+P1(f341(f341(f242(x54473),x54472),x54471))+P1(f341(f341(f242(x54473),x54471),x54472)) % 197.39/197.43 [5448]~E(x54482,x54483)+~P101(x54481)+P1(f341(f341(f241(x54481),x54482),x54483))+P1(f341(f341(f242(x54481),x54482),x54483)) % 197.39/197.43 [5690]~P105(x56903)+E(x56901,x56902)+~P1(f341(f341(f241(x56903),x56902),x56901))+P1(f341(f341(f242(x56903),x56902),x56901)) % 197.39/197.43 [5692]~P101(x56923)+E(x56921,x56922)+~P1(f341(f341(f241(x56923),x56921),x56922))+P1(f341(f341(f242(x56923),x56921),x56922)) % 197.39/197.43 [5698]~P105(x56983)+E(x56981,x56982)+~P1(f341(f341(f241(x56983),x56981),x56982))+P1(f341(f341(f242(x56983),x56981),x56982)) % 197.39/197.43 [5815]P142(x58151,x58152,x58153)+~P1(f341(x58151,x58153))+P1(f341(f341(f242(a1),x58152),f2(a1)))+P1(f341(f341(f242(a1),f2(a1)),x58152)) % 197.39/197.43 [5871]P143(x58711,x58712,x58713)+~P1(f341(x58711,f2(a1)))+P1(f341(f341(f242(a1),x58712),f2(a1)))+P1(f341(f341(f242(a1),f2(a1)),x58712)) % 197.39/197.43 [5876]~P95(x58761)+E(f341(f341(f125(x58761),x58762),f13(x58761,x58763)),x58762)+~P1(f341(f72(x58761),x58763))+~P1(f341(f341(f344(x58761),x58762),x58763)) % 197.39/197.43 [5877]~P95(x58771)+E(f341(f341(f126(x58771),x58772),f12(x58771,x58773)),x58772)+~P1(f341(f72(x58771),x58773))+~P1(f341(f341(f344(x58771),x58772),x58773)) % 197.39/197.43 [5910]~P101(x59101)+E(f341(f341(f246(x59101),x59102),f16(x59101,x59103)),f16(x59101,x59103))+~P1(f341(f72(x59101),x59103))+~P1(f341(f341(f344(x59101),x59102),x59103)) % 197.39/197.43 [5911]~P101(x59111)+E(f341(f341(f192(x59111),x59112),f17(x59111,x59113)),f17(x59111,x59113))+~P1(f341(f72(x59111),x59113))+~P1(f341(f341(f344(x59111),x59112),x59113)) % 197.39/197.43 [5912]~P95(x59121)+E(f341(f341(f125(x59121),x59122),f12(x59121,x59123)),f12(x59121,x59123))+~P1(f341(f72(x59121),x59123))+~P1(f341(f341(f344(x59121),x59122),x59123)) % 197.39/197.43 [5913]~P95(x59131)+E(f341(f341(f126(x59131),x59132),f13(x59131,x59133)),f13(x59131,x59133))+~P1(f341(f72(x59131),x59133))+~P1(f341(f341(f344(x59131),x59132),x59133)) % 197.39/197.43 [5958]E(x59581,x59582)+~P105(x59583)+~P1(f341(f341(f241(x59583),x59582),x59581))+~P1(f341(f341(f241(x59583),x59581),x59582)) % 197.39/197.43 [6100]~P104(x61001)+P1(f341(f341(f241(x61001),x61003),x61002))+~P1(f341(f341(f241(x61001),x61002),x61003))+P1(f341(f341(f242(x61001),x61002),x61003)) % 197.39/197.43 [6123]~P101(x61231)+~P1(f341(f72(x61231),x61233))+P1(f341(f341(f241(x61231),x61232),f17(x61231,x61233)))+~P1(f341(f341(f344(x61231),x61232),x61233)) % 197.39/197.43 [6167]~P101(x61671)+E(f341(f341(f246(x61671),x61672),f15(x61671,f192(x61671),x61673)),x61672)+~P1(f341(f72(x61671),x61673))+~P1(f341(f341(f344(x61671),x61672),x61673)) % 197.39/197.43 [6168]~P101(x61681)+E(f341(f341(f192(x61681),x61682),f14(x61681,f246(x61681),x61683)),x61682)+~P1(f341(f72(x61681),x61683))+~P1(f341(f341(f344(x61681),x61682),x61683)) % 197.39/197.43 [6311]E(x63111,x63112)+~E(f341(f341(f3(a881),x63111),x63113),f341(f341(f3(a881),x63112),x63113))+~P1(f341(f341(f241(a881),x63113),x63111))+~P1(f341(f341(f241(a881),x63113),x63112)) % 197.39/197.43 [6339]~P101(x63391)+~P1(f341(f72(x63391),x63392))+~P1(f341(f341(f344(x63391),x63393),x63392))+P1(f341(f341(f241(x63391),f16(x63391,x63392)),x63393)) % 197.39/197.43 [6411]P142(x64112,x64111,x64113)+E(x64111,f2(a1))+P1(f341(f341(f242(a1),x64111),f804(x64113,x64111,x64112)))+P1(f341(f341(f242(a1),f2(a1)),x64111)) % 197.39/197.43 [6412]P143(x64122,x64121,x64123)+E(x64121,f2(a1))+P1(f341(f341(f242(a1),x64121),f821(x64123,x64121,x64122)))+P1(f341(f341(f242(a1),f2(a1)),x64121)) % 197.39/197.43 [6413]~P101(x64131)+E(f341(f341(f246(x64131),x64132),f14(x64131,f246(x64131),x64133)),f14(x64131,f246(x64131),x64133))+~P1(f341(f72(x64131),x64133))+~P1(f341(f341(f344(x64131),x64132),x64133)) % 197.39/197.43 [6414]~P101(x64141)+E(f341(f341(f192(x64141),x64142),f15(x64141,f192(x64141),x64143)),f15(x64141,f192(x64141),x64143))+~P1(f341(f72(x64141),x64143))+~P1(f341(f341(f344(x64141),x64142),x64143)) % 197.39/197.43 [6421]~P1(f341(x64211,x64212))+P1(f341(x64211,f860(x64212,x64211,x64213)))+P1(f341(x64211,f2(a881)))+~P1(f341(f341(f242(a881),x64212),x64213)) % 197.39/197.43 [6482]~P1(f341(x64821,x64822))+~P1(f341(f72(x64823),x64822))+P1(f341(x64821,f758(x64821,x64822,x64823)))+P1(f341(x64821,f193(f889(x64823,a874)))) % 197.39/197.43 [6495]~P114(x64951)+~P89(x64951)+P1(f341(f341(f242(x64951),f341(f118(x64951),x64952)),f341(f118(x64951),x64953)))+~P1(f341(f341(f242(a1),x64952),x64953)) % 197.39/197.43 [6496]~P114(x64961)+~P89(x64961)+P1(f341(f341(f241(x64961),f341(f118(x64961),x64962)),f341(f118(x64961),x64963)))+~P1(f341(f341(f241(a1),x64962),x64963)) % 197.39/197.43 [6499]~P1(f341(x64991,x64993))+~P1(f341(f72(x64992),x64993))+P1(f341(f72(x64992),f758(x64991,x64993,x64992)))+P1(f341(x64991,f193(f889(x64992,a874)))) % 197.39/197.43 [6530]P142(x65301,x65302,x65303)+~P1(f341(x65301,x65303))+P1(f341(f341(f242(a1),x65302),f804(x65303,x65302,x65301)))+P1(f341(f341(f242(a1),f2(a1)),x65302)) % 197.39/197.43 [6570]P143(x65701,x65702,x65703)+P1(f341(f341(f242(a1),x65702),f821(x65703,x65702,x65701)))+~P1(f341(x65701,f2(a1)))+P1(f341(f341(f242(a1),f2(a1)),x65702)) % 197.39/197.43 [6601]~P106(x66011)+~P90(x66011)+E(f341(f341(f246(x66011),f341(f118(x66011),x66012)),f341(f118(x66011),x66013)),f341(f118(x66011),x66013))+P1(f341(f341(f241(x66011),f341(f118(x66011),x66012)),f341(f118(x66011),x66013))) % 197.39/197.43 [6602]~P106(x66021)+~P90(x66021)+E(f341(f341(f192(x66021),f341(f118(x66021),x66022)),f341(f118(x66021),x66023)),f341(f118(x66021),x66022))+P1(f341(f341(f241(x66021),f341(f118(x66021),x66022)),f341(f118(x66021),x66023))) % 197.39/197.43 [6666]P142(x66662,x66661,x66663)+E(x66661,f2(a1))+~P1(f341(x66662,f804(x66663,x66661,x66662)))+P1(f341(f341(f242(a1),f2(a1)),x66661)) % 197.39/197.43 [6667]P143(x66672,x66671,x66673)+E(x66671,f2(a1))+~P1(f341(x66672,f824(x66673,x66671,x66672)))+P1(f341(f341(f242(a1),f2(a1)),x66671)) % 197.39/197.43 [6753]P142(x67531,x67532,x67533)+~P1(f341(x67531,x67533))+~P1(f341(x67531,f804(x67533,x67532,x67531)))+P1(f341(f341(f242(a1),f2(a1)),x67532)) % 197.39/197.43 [6784]P143(x67841,x67842,x67843)+~P1(f341(x67841,f824(x67843,x67842,x67841)))+~P1(f341(x67841,f2(a1)))+P1(f341(f341(f242(a1),f2(a1)),x67842)) % 197.39/197.43 [6896]~P89(x68963)+~P114(x68963)+~P1(f341(f341(f242(x68963),f341(f118(x68963),x68961)),f341(f118(x68963),x68962)))+P1(f341(f341(f242(a1),x68961),x68962)) % 197.39/197.43 [6897]~P89(x68973)+~P114(x68973)+~P1(f341(f341(f241(x68973),f341(f118(x68973),x68971)),f341(f118(x68973),x68972)))+P1(f341(f341(f241(a1),x68971),x68972)) % 197.39/197.43 [6929]~P101(x69291)+~P16(x69291,x69293)+P16(x69291,f341(f341(f156(x69291),x69292),x69293))+~P1(f341(f341(f241(x69291),x69292),f668(x69293,x69292,x69291))) % 197.39/197.43 [6930]~P101(x69301)+~P16(x69301,x69303)+P16(x69301,f341(f341(f156(x69301),x69302),x69303))+~P1(f341(f341(f241(x69301),x69302),f672(x69303,x69302,x69301))) % 197.39/197.43 [7019]P142(x70192,x70191,x70193)+E(x70191,f2(a1))+P1(f341(f341(f242(a1),x70191),f2(a1)))+P1(f341(f341(f242(a1),f805(x70193,x70191,x70192)),x70191)) % 197.39/197.43 [7020]P143(x70202,x70201,x70203)+E(x70201,f2(a1))+P1(f341(f341(f242(a1),x70201),f2(a1)))+P1(f341(f341(f242(a1),f822(x70203,x70201,x70202)),x70201)) % 197.39/197.43 [7059]P142(x70592,x70591,x70593)+E(x70591,f2(a1))+P1(f341(f341(f241(a1),f804(x70593,x70591,x70592)),f2(a1)))+P1(f341(f341(f242(a1),f2(a1)),x70591)) % 197.39/197.43 [7060]P143(x70602,x70601,x70603)+E(x70601,f2(a1))+P1(f341(f341(f241(a1),f821(x70603,x70601,x70602)),f2(a1)))+P1(f341(f341(f242(a1),f2(a1)),x70601)) % 197.39/197.43 [7083]~P101(x70831)+~P16(x70831,x70833)+E(f341(f341(f154(x70831,x70831,f7(x70831)),x70832),f174(x70831,x70832,x70833)),x70833)+~P1(f341(f341(f344(x70831),x70832),f341(f176(x70831),x70833))) % 197.39/197.43 [7132]P142(x71321,x71322,x71323)+~P1(f341(x71321,x71323))+P1(f341(f341(f242(a1),x71322),f2(a1)))+P1(f341(f341(f242(a1),f805(x71323,x71322,x71321)),x71322)) % 197.39/197.43 [7138]~P106(x71381)+~P90(x71381)+E(f341(f341(f246(x71381),f341(f118(x71381),x71382)),f341(f118(x71381),x71383)),f341(f118(x71381),x71382))+~P1(f341(f341(f241(x71381),f341(f118(x71381),x71382)),f341(f118(x71381),x71383))) % 197.39/197.43 [7139]~P106(x71391)+~P90(x71391)+E(f341(f341(f192(x71391),f341(f118(x71391),x71392)),f341(f118(x71391),x71393)),f341(f118(x71391),x71393))+~P1(f341(f341(f241(x71391),f341(f118(x71391),x71392)),f341(f118(x71391),x71393))) % 197.39/197.43 [7152]P143(x71521,x71522,x71523)+~P1(f341(x71521,f2(a1)))+P1(f341(f341(f242(a1),x71522),f2(a1)))+P1(f341(f341(f242(a1),f822(x71523,x71522,x71521)),x71522)) % 197.39/197.43 [7162]P142(x71621,x71622,x71623)+~P1(f341(x71621,x71623))+P1(f341(f341(f241(a1),f804(x71623,x71622,x71621)),f2(a1)))+P1(f341(f341(f242(a1),f2(a1)),x71622)) % 197.39/197.43 [7186]P143(x71861,x71862,x71863)+~P1(f341(x71861,f2(a1)))+P1(f341(f341(f241(a1),f821(x71863,x71862,x71861)),f2(a1)))+P1(f341(f341(f242(a1),f2(a1)),x71862)) % 197.39/197.43 [7208]~P1(f341(x72081,x72082))+P1(f341(x72081,f2(a881)))+~P1(f341(f341(f242(a881),x72082),x72083))+P1(f341(f341(f242(a881),f860(x72082,x72081,x72083)),x72083)) % 197.39/197.43 [7225]~P101(x72251)+~P16(x72251,x72253)+P16(x72251,f341(f341(f156(x72251),x72252),x72253))+P1(f341(f341(f344(x72251),f668(x72253,x72252,x72251)),f341(f176(x72251),x72253))) % 197.39/197.43 [7226]~P101(x72261)+~P16(x72261,x72263)+P16(x72261,f341(f341(f156(x72261),x72262),x72263))+P1(f341(f341(f344(x72261),f672(x72263,x72262,x72261)),f341(f176(x72261),x72263))) % 197.39/197.43 [7336]~P101(x73361)+~P8(x73361)+~P1(f341(f341(f242(x73361),x73363),f39(x73361,x73362)))+P1(f341(f341(f344(x73361),f690(x73362,x73363,x73361)),x73362)) % 197.39/197.43 [7490]~P101(x74901)+~P8(x74901)+~P1(f341(f341(f242(x74901),f40(x74901,x74903)),x74902))+P1(f341(f341(f344(x74901),f748(x74902,x74903,x74901)),x74903)) % 197.39/197.43 [7491]~P101(x74911)+~P8(x74911)+~P1(f341(f341(f242(x74911),f40(x74911,x74913)),x74912))+P1(f341(f341(f242(x74911),f748(x74912,x74913,x74911)),x74912)) % 197.39/197.43 [7505]P142(x75052,x75051,x75053)+E(x75051,f2(a1))+P1(f341(f341(f242(a1),x75051),f804(x75053,x75051,x75052)))+P1(f341(f341(f242(a1),f805(x75053,x75051,x75052)),x75051)) % 197.39/197.43 [7506]P143(x75062,x75061,x75063)+E(x75061,f2(a1))+P1(f341(f341(f242(a1),x75061),f821(x75063,x75061,x75062)))+P1(f341(f341(f242(a1),f822(x75063,x75061,x75062)),x75061)) % 197.39/197.43 [7597]P142(x75973,x75971,x75972)+E(x75971,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x75971),f820(x75972,x75971,x75973))),f804(x75972,x75971,x75973)),x75972)+P1(f341(f341(f242(a1),f2(a1)),x75971)) % 197.39/197.43 [7598]P143(x75983,x75981,x75982)+E(x75981,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x75981),f824(x75982,x75981,x75983))),f821(x75982,x75981,x75983)),x75982)+P1(f341(f341(f242(a1),f2(a1)),x75981)) % 197.39/197.43 [7600]~P129(x76001)+~P1(f341(f341(f242(x76001),x76003),f2(x76001)))+P1(f341(f341(f242(x76001),f341(f341(f92(x76001),x76002),x76003)),f2(x76001)))+~P1(f341(f341(f242(x76001),f2(x76001)),x76002)) % 197.39/197.43 [7601]~P129(x76011)+~P1(f341(f341(f242(x76011),x76012),f2(x76011)))+P1(f341(f341(f242(x76011),f341(f341(f92(x76011),x76012),x76013)),f2(x76011)))+~P1(f341(f341(f242(x76011),f2(x76011)),x76013)) % 197.39/197.43 [7602]~P65(x76021)+~P1(f341(f341(f242(x76021),x76023),f2(x76021)))+P1(f341(f341(f242(x76021),f341(f341(f298(x76021),x76022),x76023)),f2(x76021)))+~P1(f341(f341(f242(x76021),f2(x76021)),x76022)) % 197.39/197.43 [7603]~P65(x76031)+~P1(f341(f341(f242(x76031),x76032),f2(x76031)))+P1(f341(f341(f242(x76031),f341(f341(f298(x76031),x76032),x76033)),f2(x76031)))+~P1(f341(f341(f242(x76031),f2(x76031)),x76033)) % 197.39/197.43 [7604]~P66(x76041)+~P1(f341(f341(f242(x76041),x76043),f2(x76041)))+P1(f341(f341(f242(x76041),f341(f341(f298(x76041),x76042),x76043)),f2(x76041)))+~P1(f341(f341(f242(x76041),f2(x76041)),x76042)) % 197.39/197.43 [7605]~P66(x76051)+~P1(f341(f341(f242(x76051),x76052),f2(x76051)))+P1(f341(f341(f242(x76051),f341(f341(f298(x76051),x76052),x76053)),f2(x76051)))+~P1(f341(f341(f242(x76051),f2(x76051)),x76053)) % 197.39/197.43 [7608]~P130(x76081)+~P1(f341(f341(f241(x76081),x76083),f2(x76081)))+P1(f341(f341(f241(x76081),f341(f341(f92(x76081),x76082),x76083)),f2(x76081)))+~P1(f341(f341(f241(x76081),f2(x76081)),x76082)) % 197.39/197.43 [7610]~P130(x76101)+~P1(f341(f341(f241(x76101),x76102),f2(x76101)))+P1(f341(f341(f241(x76101),f341(f341(f92(x76101),x76102),x76103)),f2(x76101)))+~P1(f341(f341(f241(x76101),f2(x76101)),x76103)) % 197.39/197.43 [7611]~P122(x76111)+~P1(f341(f341(f241(x76111),x76113),f2(x76111)))+P1(f341(f341(f241(x76111),f341(f341(f92(x76111),x76112),x76113)),f2(x76111)))+~P1(f341(f341(f241(x76111),f2(x76111)),x76112)) % 197.39/197.43 [7612]~P122(x76121)+~P1(f341(f341(f241(x76121),x76122),f2(x76121)))+P1(f341(f341(f241(x76121),f341(f341(f92(x76121),x76122),x76123)),f2(x76121)))+~P1(f341(f341(f241(x76121),f2(x76121)),x76123)) % 197.39/197.43 [7613]~P65(x76131)+~P1(f341(f341(f241(x76131),x76133),f2(x76131)))+P1(f341(f341(f241(x76131),f341(f341(f298(x76131),x76132),x76133)),f2(x76131)))+~P1(f341(f341(f241(x76131),f2(x76131)),x76132)) % 197.39/197.43 [7614]~P65(x76141)+~P1(f341(f341(f241(x76141),x76142),f2(x76141)))+P1(f341(f341(f241(x76141),f341(f341(f298(x76141),x76142),x76143)),f2(x76141)))+~P1(f341(f341(f241(x76141),f2(x76141)),x76143)) % 197.39/197.43 [7615]~P66(x76151)+~P1(f341(f341(f242(x76151),x76153),f2(x76151)))+P1(f341(f341(f241(x76151),f341(f341(f298(x76151),x76152),x76153)),f2(x76151)))+~P1(f341(f341(f241(x76151),f2(x76151)),x76152)) % 197.39/197.43 [7616]~P66(x76161)+~P1(f341(f341(f241(x76161),x76162),f2(x76161)))+P1(f341(f341(f241(x76161),f341(f341(f298(x76161),x76162),x76163)),f2(x76161)))+~P1(f341(f341(f242(x76161),f2(x76161)),x76163)) % 197.39/197.43 [7631]P142(x76311,x76312,x76313)+~P1(f341(x76311,x76313))+P1(f341(f341(f242(a1),x76312),f804(x76313,x76312,x76311)))+P1(f341(f341(f242(a1),f805(x76313,x76312,x76311)),x76312)) % 197.39/197.43 [7644]P143(x76441,x76442,x76443)+P1(f341(f341(f242(a1),x76442),f821(x76443,x76442,x76441)))+~P1(f341(x76441,f2(a1)))+P1(f341(f341(f242(a1),f822(x76443,x76442,x76441)),x76442)) % 197.39/197.43 [7694]P142(x76942,x76941,x76943)+E(x76941,f2(a1))+~P1(f341(x76942,f804(x76943,x76941,x76942)))+P1(f341(f341(f242(a1),f805(x76943,x76941,x76942)),x76941)) % 197.39/197.43 [7695]P143(x76952,x76951,x76953)+E(x76951,f2(a1))+~P1(f341(x76952,f824(x76953,x76951,x76952)))+P1(f341(f341(f242(a1),f822(x76953,x76951,x76952)),x76951)) % 197.39/197.43 [7708]P142(x77083,x77081,x77082)+~P1(f341(x77083,x77082))+E(f341(f341(f91(a1),f341(f341(f92(a1),x77081),f820(x77082,x77081,x77083))),f804(x77082,x77081,x77083)),x77082)+P1(f341(f341(f242(a1),f2(a1)),x77081)) % 197.39/197.43 [7725]P143(x77253,x77251,x77252)+E(f341(f341(f91(a1),f341(f341(f92(a1),x77251),f824(x77252,x77251,x77253))),f821(x77252,x77251,x77253)),x77252)+~P1(f341(x77253,f2(a1)))+P1(f341(f341(f242(a1),f2(a1)),x77251)) % 197.39/197.43 [7748]~P1(f341(x77481,x77483))+~P1(f341(f72(x77482),x77483))+P1(f341(f341(f344(x77482),f759(x77481,x77483,x77482)),f758(x77481,x77483,x77482)))+P1(f341(x77481,f193(f889(x77482,a874)))) % 197.39/197.43 [7759]P142(x77591,x77592,x77593)+~P1(f341(x77591,x77593))+~P1(f341(x77591,f804(x77593,x77592,x77591)))+P1(f341(f341(f242(a1),f805(x77593,x77592,x77591)),x77592)) % 197.39/197.43 [7765]P143(x77651,x77652,x77653)+~P1(f341(x77651,f824(x77653,x77652,x77651)))+~P1(f341(x77651,f2(a1)))+P1(f341(f341(f242(a1),f822(x77653,x77652,x77651)),x77652)) % 197.39/197.43 [7865]~P65(x78651)+~P1(f341(f341(f242(x78651),f341(f341(f298(x78651),x78653),x78652)),f2(x78651)))+P1(f341(f341(f242(x78651),x78652),f2(x78651)))+P1(f341(f341(f242(x78651),f2(x78651)),x78652)) % 197.39/197.43 [7866]~P65(x78661)+~P1(f341(f341(f242(x78661),f341(f341(f298(x78661),x78662),x78663)),f2(x78661)))+P1(f341(f341(f242(x78661),x78662),f2(x78661)))+P1(f341(f341(f242(x78661),f2(x78661)),x78662)) % 197.39/197.43 [7867]~P122(x78671)+~P1(f341(f341(f241(x78671),f341(f341(f92(x78671),x78673),x78672)),f2(x78671)))+P1(f341(f341(f241(x78671),x78672),f2(x78671)))+P1(f341(f341(f241(x78671),f2(x78671)),x78672)) % 197.39/197.43 [7868]~P122(x78681)+~P1(f341(f341(f241(x78681),f341(f341(f92(x78681),x78682),x78683)),f2(x78681)))+P1(f341(f341(f241(x78681),x78682),f2(x78681)))+P1(f341(f341(f241(x78681),f2(x78681)),x78682)) % 197.39/197.43 [7869]~P65(x78691)+~P1(f341(f341(f241(x78691),f341(f341(f298(x78691),x78693),x78692)),f2(x78691)))+P1(f341(f341(f241(x78691),x78692),f2(x78691)))+P1(f341(f341(f241(x78691),f2(x78691)),x78692)) % 197.39/197.43 [7870]~P65(x78701)+~P1(f341(f341(f241(x78701),f341(f341(f298(x78701),x78702),x78703)),f2(x78701)))+P1(f341(f341(f241(x78701),x78702),f2(x78701)))+P1(f341(f341(f241(x78701),f2(x78701)),x78702)) % 197.39/197.43 [7893]~P65(x78931)+~P1(f341(f341(f242(x78931),f341(f341(f298(x78931),x78932),x78933)),f2(x78931)))+P1(f341(f341(f242(x78931),f2(x78931)),x78932))+P1(f341(f341(f242(x78931),f2(x78931)),x78933)) % 197.39/197.43 [7894]~P122(x78941)+~P1(f341(f341(f241(x78941),f341(f341(f92(x78941),x78942),x78943)),f2(x78941)))+P1(f341(f341(f241(x78941),f2(x78941)),x78942))+P1(f341(f341(f241(x78941),f2(x78941)),x78943)) % 197.39/197.43 [7895]~P65(x78951)+~P1(f341(f341(f241(x78951),f341(f341(f298(x78951),x78952),x78953)),f2(x78951)))+P1(f341(f341(f241(x78951),f2(x78951)),x78952))+P1(f341(f341(f241(x78951),f2(x78951)),x78953)) % 197.39/197.43 [7915]P142(x79152,x79151,x79153)+E(x79151,f2(a1))+P1(f341(f341(f241(a1),f804(x79153,x79151,x79152)),f2(a1)))+P1(f341(f341(f242(a1),f805(x79153,x79151,x79152)),x79151)) % 197.39/197.43 [7916]P143(x79162,x79161,x79163)+E(x79161,f2(a1))+P1(f341(f341(f241(a1),f821(x79163,x79161,x79162)),f2(a1)))+P1(f341(f341(f242(a1),f822(x79163,x79161,x79162)),x79161)) % 197.39/197.43 [7921]~P121(x79211)+~P1(f341(f341(f242(x79211),x79212),f89(x79211)))+P1(f341(f341(f242(x79211),f341(f341(f251(x79211),x79212),f341(a128,x79213))),f89(x79211)))+~P1(f341(f341(f242(x79211),f2(x79211)),x79212)) % 197.39/197.43 [7978]~P101(x79781)+~E(x79783,f129(x79781))+~P16(x79781,f341(f173(x79781),x79783))+E(f341(f147(x79781,x79781,f341(f9(x79781,x79781,x79781),f192(x79781)),x79782),f341(f173(x79781),x79783)),x79782) % 197.39/197.43 [7980]P142(x79801,x79802,x79803)+~P1(f341(x79801,x79803))+P1(f341(f341(f241(a1),f804(x79803,x79802,x79801)),f2(a1)))+P1(f341(f341(f242(a1),f805(x79803,x79802,x79801)),x79802)) % 197.39/197.43 [7990]P143(x79901,x79902,x79903)+~P1(f341(x79901,f2(a1)))+P1(f341(f341(f241(a1),f821(x79903,x79902,x79901)),f2(a1)))+P1(f341(f341(f242(a1),f822(x79903,x79902,x79901)),x79902)) % 197.39/197.43 [8219]P142(x82193,x82191,x82192)+E(x82191,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x82191),f820(x82192,x82191,x82193))),f804(x82192,x82191,x82193)),x82192)+P1(f341(f341(f242(a1),f805(x82192,x82191,x82193)),x82191)) % 197.39/197.43 [8220]P143(x82203,x82201,x82202)+E(x82201,f2(a1))+E(f341(f341(f91(a1),f341(f341(f92(a1),x82201),f824(x82202,x82201,x82203))),f821(x82202,x82201,x82203)),x82202)+P1(f341(f341(f242(a1),f822(x82202,x82201,x82203)),x82201)) % 197.39/197.43 [8250]P142(x82503,x82501,x82502)+~P1(f341(x82503,x82502))+E(f341(f341(f91(a1),f341(f341(f92(a1),x82501),f820(x82502,x82501,x82503))),f804(x82502,x82501,x82503)),x82502)+P1(f341(f341(f242(a1),f805(x82502,x82501,x82503)),x82501)) % 197.39/197.43 [8258]P143(x82583,x82581,x82582)+E(f341(f341(f91(a1),f341(f341(f92(a1),x82581),f824(x82582,x82581,x82583))),f821(x82582,x82581,x82583)),x82582)+~P1(f341(x82583,f2(a1)))+P1(f341(f341(f242(a1),f822(x82582,x82581,x82583)),x82581)) % 197.39/197.43 [8278]~E(x82782,f2(a881))+~E(f341(f256(a881,a881),x82783),f2(a881))+~E(x82781,f341(f341(f91(a881),f341(f341(f92(a881),f341(f256(a881,a881),x82783)),x82782)),f341(f261(a881,a881),x82783)))+P1(f341(f60(x82781,x82782),x82783)) % 197.39/197.43 [8931]~P61(x89311)+~P61(x89312)+P1(f341(f68(f887(x89311,x89312)),x89313))+~P1(f341(f68(x89312),f341(f341(f10(f887(x89311,x89312),a874,x89312),x89313),f323(x89312,x89311)))) % 197.39/197.43 [8932]~P61(x89322)+~P61(x89321)+P1(f341(f68(f887(x89321,x89322)),x89323))+~P1(f341(f68(x89321),f341(f341(f10(f887(x89321,x89322),a874,x89321),x89323),f319(x89321,x89322)))) % 197.39/197.43 [9194]P1(f341(f341(f241(a1),x91941),f2(a1)))+~P1(f341(f341(f242(a1),f341(f341(f91(a1),f341(f341(f92(a1),x91942),x91941)),x91943)),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x91942))+~P1(f341(f341(f241(a1),f2(a1)),x91943)) % 197.39/197.43 [5768]~P95(x57682)+E(x57681,f193(f889(x57682,a874)))+~P1(f341(f72(x57682),x57681))+E(f12(x57682,f341(f341(f318(x57682),x57683),x57681)),f341(f341(f125(x57682),x57683),f12(x57682,x57681))) % 197.39/197.43 [5769]~P95(x57692)+E(x57691,f193(f889(x57692,a874)))+~P1(f341(f72(x57692),x57691))+E(f13(x57692,f341(f341(f318(x57692),x57693),x57691)),f341(f341(f126(x57692),x57693),f13(x57692,x57691))) % 197.39/197.43 [5770]~P101(x57702)+E(x57701,f193(f889(x57702,a874)))+~P1(f341(f72(x57702),x57701))+E(f16(x57702,f341(f341(f318(x57702),x57703),x57701)),f341(f341(f246(x57702),x57703),f16(x57702,x57701))) % 197.39/197.43 [5771]~P101(x57712)+E(x57711,f193(f889(x57712,a874)))+~P1(f341(f72(x57712),x57711))+E(f17(x57712,f341(f341(f318(x57712),x57713),x57711)),f341(f341(f192(x57712),x57713),f17(x57712,x57711))) % 197.39/197.43 [6097]~P122(x60971)+~E(x60973,f2(x60971))+~E(x60972,f2(x60971))+E(f341(f341(f91(x60971),f341(f341(f92(x60971),x60972),x60972)),f341(f341(f92(x60971),x60973),x60973)),f2(x60971)) % 197.39/197.43 [6161]~P93(x61612)+E(x61611,f193(f889(x61612,a874)))+~P1(f341(f72(x61612),x61611))+E(f341(f74(x61612,f92(x61612)),f341(f341(f318(x61612),x61613),x61611)),f341(f341(f92(x61612),x61613),f341(f74(x61612,f92(x61612)),x61611))) % 197.39/197.43 [6288]~P101(x62882)+E(x62881,f193(f889(x62882,a874)))+~P1(f341(f72(x62882),x62881))+E(f14(x62882,f246(x62882),f341(f341(f318(x62882),x62883),x62881)),f341(f341(f246(x62882),x62883),f14(x62882,f246(x62882),x62881))) % 197.39/197.43 [6289]~P101(x62892)+E(x62891,f193(f889(x62892,a874)))+~P1(f341(f72(x62892),x62891))+E(f15(x62892,f192(x62892),f341(f341(f318(x62892),x62893),x62891)),f341(f341(f192(x62892),x62893),f15(x62892,f192(x62892),x62891))) % 197.39/197.43 [6904]~E(f341(f341(f91(a1),x69042),f341(f341(f92(a1),x69043),x69041)),x69043)+~P1(f341(f341(f242(a1),f2(a1)),x69043))+P1(f341(f341(f241(a1),f89(a1)),x69041))+~P1(f341(f341(f242(a1),x69042),x69043)) % 197.39/197.43 [6936]~E(f341(f341(f91(a1),x69362),f341(f341(f92(a1),x69363),x69361)),x69363)+P1(f341(f341(f241(a1),x69361),f89(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x69363))+~P1(f341(f341(f241(a1),f2(a1)),x69362)) % 197.39/197.43 [6954]E(x69541,f2(a881))+~P1(f341(f60(x69543,x69541),x69542))+~P1(f341(f341(f242(a881),f2(a881)),x69541))+P1(f341(f341(f242(a881),f341(f261(a881,a881),x69542)),x69541)) % 197.39/197.43 [6986]~P134(x69861)+~P1(f341(f341(f241(x69861),x69862),f2(x69861)))+~P1(f341(f341(f241(x69861),x69863),f2(x69861)))+E(f341(f341(f92(x69861),f341(f85(x69861),x69862)),f341(f85(x69861),x69863)),f341(f85(x69861),f341(f341(f92(x69861),x69862),x69863))) % 197.39/197.43 [7035]~P134(x70351)+~P1(f341(f341(f241(x70351),x70352),f2(x70351)))+E(f341(f341(f92(x70351),f341(f85(x70351),x70352)),f341(f85(x70351),x70353)),f341(f85(x70351),f341(f341(f92(x70351),x70352),x70353)))+~P1(f341(f341(f241(x70351),f2(x70351)),x70353)) % 197.39/197.43 [7036]~P134(x70361)+~P1(f341(f341(f241(x70361),x70363),f2(x70361)))+E(f341(f341(f92(x70361),f341(f85(x70361),x70362)),f341(f85(x70361),x70363)),f341(f85(x70361),f341(f341(f92(x70361),x70362),x70363)))+~P1(f341(f341(f241(x70361),f2(x70361)),x70362)) % 197.39/197.43 [7091]~P134(x70911)+E(f341(f341(f92(x70911),f341(f85(x70911),x70912)),f341(f85(x70911),x70913)),f341(f85(x70911),f341(f341(f92(x70911),x70912),x70913)))+~P1(f341(f341(f241(x70911),f2(x70911)),x70912))+~P1(f341(f341(f241(x70911),f2(x70911)),x70913)) % 197.39/197.43 [7109]~P122(x71091)+~P1(f341(f341(f242(x71091),x71093),f2(x71091)))+~P1(f341(f341(f242(x71091),x71092),f2(x71091)))+P1(f341(f341(f242(x71091),f2(x71091)),f341(f341(f92(x71091),x71092),x71093))) % 197.39/197.43 [7110]~P65(x71101)+~P1(f341(f341(f242(x71101),x71103),f2(x71101)))+~P1(f341(f341(f242(x71101),x71102),f2(x71101)))+P1(f341(f341(f242(x71101),f2(x71101)),f341(f341(f298(x71101),x71102),x71103))) % 197.39/197.43 [7111]~P66(x71111)+~P1(f341(f341(f242(x71111),x71113),f2(x71111)))+~P1(f341(f341(f242(x71111),x71112),f2(x71111)))+P1(f341(f341(f242(x71111),f2(x71111)),f341(f341(f298(x71111),x71112),x71113))) % 197.39/197.43 [7113]~P131(x71131)+~P1(f341(f341(f241(x71131),x71133),f2(x71131)))+~P1(f341(f341(f241(x71131),x71132),f2(x71131)))+P1(f341(f341(f241(x71131),f2(x71131)),f341(f341(f92(x71131),x71132),x71133))) % 197.39/197.43 [7114]~P122(x71141)+~P1(f341(f341(f241(x71141),x71143),f2(x71141)))+~P1(f341(f341(f241(x71141),x71142),f2(x71141)))+P1(f341(f341(f241(x71141),f2(x71141)),f341(f341(f92(x71141),x71142),x71143))) % 197.39/197.43 [7115]~P65(x71151)+~P1(f341(f341(f241(x71151),x71153),f2(x71151)))+~P1(f341(f341(f241(x71151),x71152),f2(x71151)))+P1(f341(f341(f241(x71151),f2(x71151)),f341(f341(f298(x71151),x71152),x71153))) % 197.39/197.43 [7116]~P66(x71161)+~P1(f341(f341(f242(x71161),x71163),f2(x71161)))+~P1(f341(f341(f241(x71161),x71162),f2(x71161)))+P1(f341(f341(f241(x71161),f2(x71161)),f341(f341(f298(x71161),x71162),x71163))) % 197.39/197.43 [7117]~P121(x71171)+~P1(f341(f341(f242(a881),f2(a881)),x71173))+~P1(f341(f341(f242(x71171),f89(x71171)),x71172))+P1(f341(f341(f242(x71171),f89(x71171)),f341(f341(f251(x71171),x71172),x71173))) % 197.39/197.43 [7209]~P83(x72091)+~P1(f341(f341(f242(x72091),f2(x72091)),x72093))+~P1(f341(f341(f242(x72091),f2(x72091)),x72092))+P1(f341(f341(f242(x72091),f2(x72091)),f341(f341(f91(x72091),x72092),x72093))) % 197.39/197.43 [7212]~P129(x72121)+~P1(f341(f341(f242(x72121),f2(x72121)),x72123))+~P1(f341(f341(f242(x72121),f2(x72121)),x72122))+P1(f341(f341(f242(x72121),f2(x72121)),f341(f341(f92(x72121),x72122),x72123))) % 197.39/197.43 [7213]~P65(x72131)+~P1(f341(f341(f242(x72131),f2(x72131)),x72133))+~P1(f341(f341(f242(x72131),f2(x72131)),x72132))+P1(f341(f341(f242(x72131),f2(x72131)),f341(f341(f298(x72131),x72132),x72133))) % 197.39/197.43 [7214]~P66(x72141)+~P1(f341(f341(f242(x72141),f2(x72141)),x72143))+~P1(f341(f341(f242(x72141),f2(x72141)),x72142))+P1(f341(f341(f242(x72141),f2(x72141)),f341(f341(f298(x72141),x72142),x72143))) % 197.39/197.43 [7215]~P121(x72151)+~P1(f341(f341(f242(x72151),f89(x72151)),x72153))+~P1(f341(f341(f242(x72151),f89(x72151)),x72152))+P1(f341(f341(f242(x72151),f89(x72151)),f341(f341(f92(x72151),x72152),x72153))) % 197.39/197.43 [7217]~P130(x72171)+~P1(f341(f341(f241(x72171),f2(x72171)),x72173))+~P1(f341(f341(f241(x72171),f2(x72171)),x72172))+P1(f341(f341(f241(x72171),f2(x72171)),f341(f341(f92(x72171),x72172),x72173))) % 197.39/197.43 [7218]~P131(x72181)+~P1(f341(f341(f241(x72181),f2(x72181)),x72183))+~P1(f341(f341(f241(x72181),f2(x72181)),x72182))+P1(f341(f341(f241(x72181),f2(x72181)),f341(f341(f92(x72181),x72182),x72183))) % 197.39/197.43 [7219]~P122(x72191)+~P1(f341(f341(f241(x72191),f2(x72191)),x72193))+~P1(f341(f341(f241(x72191),f2(x72191)),x72192))+P1(f341(f341(f241(x72191),f2(x72191)),f341(f341(f92(x72191),x72192),x72193))) % 197.39/197.43 [7220]~P65(x72201)+~P1(f341(f341(f241(x72201),f2(x72201)),x72203))+~P1(f341(f341(f241(x72201),f2(x72201)),x72202))+P1(f341(f341(f241(x72201),f2(x72201)),f341(f341(f298(x72201),x72202),x72203))) % 197.39/197.43 [7221]~P66(x72211)+~P1(f341(f341(f242(x72211),f2(x72211)),x72213))+~P1(f341(f341(f241(x72211),f2(x72211)),x72212))+P1(f341(f341(f241(x72211),f2(x72211)),f341(f341(f298(x72211),x72212),x72213))) % 197.39/197.43 [7294]~P95(x72941)+~P1(f341(f72(x72941),x72943))+E(f12(x72941,f341(f341(f318(x72941),x72942),x72943)),x72942)+~E(f341(f341(f3(f889(x72941,a874)),x72943),f341(f341(f318(x72941),x72942),f193(f889(x72941,a874)))),f193(f889(x72941,a874))) % 197.39/197.43 [7295]~P95(x72951)+~P1(f341(f72(x72951),x72953))+E(f13(x72951,f341(f341(f318(x72951),x72952),x72953)),x72952)+~E(f341(f341(f3(f889(x72951,a874)),x72953),f341(f341(f318(x72951),x72952),f193(f889(x72951,a874)))),f193(f889(x72951,a874))) % 197.39/197.43 [7296]~P101(x72961)+~P1(f341(f72(x72961),x72963))+E(f16(x72961,f341(f341(f318(x72961),x72962),x72963)),x72962)+~E(f341(f341(f3(f889(x72961,a874)),x72963),f341(f341(f318(x72961),x72962),f193(f889(x72961,a874)))),f193(f889(x72961,a874))) % 197.39/197.43 [7297]~P101(x72971)+~P1(f341(f72(x72971),x72973))+E(f17(x72971,f341(f341(f318(x72971),x72972),x72973)),x72972)+~E(f341(f341(f3(f889(x72971,a874)),x72973),f341(f341(f318(x72971),x72972),f193(f889(x72971,a874)))),f193(f889(x72971,a874))) % 197.39/197.43 [7298]~P65(x72981)+P1(f341(f341(f242(x72981),x72982),f2(x72981)))+P1(f341(f341(f242(x72981),f2(x72981)),x72983))+~P1(f341(f341(f242(x72981),f2(x72981)),f341(f341(f298(x72981),x72983),x72982))) % 197.39/197.43 [7299]~P65(x72991)+P1(f341(f341(f242(x72991),x72992),f2(x72991)))+P1(f341(f341(f242(x72991),f2(x72991)),x72993))+~P1(f341(f341(f242(x72991),f2(x72991)),f341(f341(f298(x72991),x72992),x72993))) % 197.39/197.43 [7300]~P65(x73001)+P1(f341(f341(f242(x73001),x73002),f2(x73001)))+P1(f341(f341(f242(x73001),f2(x73001)),x73002))+~P1(f341(f341(f242(x73001),f2(x73001)),f341(f341(f298(x73001),x73003),x73002))) % 197.39/197.43 [7301]~P65(x73011)+P1(f341(f341(f242(x73011),x73012),f2(x73011)))+P1(f341(f341(f242(x73011),f2(x73011)),x73012))+~P1(f341(f341(f242(x73011),f2(x73011)),f341(f341(f298(x73011),x73012),x73013))) % 197.39/197.43 [7302]~P122(x73021)+P1(f341(f341(f241(x73021),x73022),f2(x73021)))+P1(f341(f341(f241(x73021),f2(x73021)),x73023))+~P1(f341(f341(f241(x73021),f2(x73021)),f341(f341(f92(x73021),x73023),x73022))) % 197.39/197.43 [7303]~P122(x73031)+P1(f341(f341(f241(x73031),x73032),f2(x73031)))+P1(f341(f341(f241(x73031),f2(x73031)),x73033))+~P1(f341(f341(f241(x73031),f2(x73031)),f341(f341(f92(x73031),x73032),x73033))) % 197.39/197.43 [7304]~P65(x73041)+P1(f341(f341(f241(x73041),x73042),f2(x73041)))+P1(f341(f341(f241(x73041),f2(x73041)),x73043))+~P1(f341(f341(f241(x73041),f2(x73041)),f341(f341(f298(x73041),x73043),x73042))) % 197.39/197.43 [7305]~P65(x73051)+P1(f341(f341(f241(x73051),x73052),f2(x73051)))+P1(f341(f341(f241(x73051),f2(x73051)),x73053))+~P1(f341(f341(f241(x73051),f2(x73051)),f341(f341(f298(x73051),x73052),x73053))) % 197.39/197.43 [7306]~P122(x73061)+P1(f341(f341(f241(x73061),x73062),f2(x73061)))+P1(f341(f341(f241(x73061),f2(x73061)),x73062))+~P1(f341(f341(f241(x73061),f2(x73061)),f341(f341(f92(x73061),x73063),x73062))) % 197.39/197.43 [7307]~P122(x73071)+P1(f341(f341(f241(x73071),x73072),f2(x73071)))+P1(f341(f341(f241(x73071),f2(x73071)),x73072))+~P1(f341(f341(f241(x73071),f2(x73071)),f341(f341(f92(x73071),x73072),x73073))) % 197.39/197.43 [7308]~P65(x73081)+P1(f341(f341(f241(x73081),x73082),f2(x73081)))+P1(f341(f341(f241(x73081),f2(x73081)),x73082))+~P1(f341(f341(f241(x73081),f2(x73081)),f341(f341(f298(x73081),x73083),x73082))) % 197.39/197.43 [7309]~P65(x73091)+P1(f341(f341(f241(x73091),x73092),f2(x73091)))+P1(f341(f341(f241(x73091),f2(x73091)),x73092))+~P1(f341(f341(f241(x73091),f2(x73091)),f341(f341(f298(x73091),x73092),x73093))) % 197.39/197.43 [7385]~P1(f341(f341(f294(a881),x73851),x73853))+P1(f341(f341(f294(a881),x73851),x73852))+~P1(f341(f341(f241(a881),x73852),x73853))+~P1(f341(f341(f294(a881),x73851),f341(f341(f3(a881),x73853),x73852))) % 197.39/197.43 [7386]~P1(f341(f341(f294(a881),x73861),x73863))+P1(f341(f341(f294(a881),x73861),x73862))+~P1(f341(f341(f241(a881),x73863),x73862))+~P1(f341(f341(f294(a881),x73861),f341(f341(f3(a881),x73862),x73863))) % 197.39/197.43 [7401]~E(f341(f341(f126(f889(x74011,a874)),f341(f176(x74011),x74012)),f341(f176(x74011),x74013)),f193(f889(x74011,a874)))+~P1(f341(f142(x74011),x74013))+~P1(f341(f142(x74011),x74012))+P1(f341(f142(x74011),f341(f341(f137(x74011),x74012),x74013))) % 197.39/197.43 [7402]~P101(x74021)+~P1(f341(f72(x74021),x74023))+E(f14(x74021,f246(x74021),f341(f341(f318(x74021),x74022),x74023)),x74022)+~E(f341(f341(f3(f889(x74021,a874)),x74023),f341(f341(f318(x74021),x74022),f193(f889(x74021,a874)))),f193(f889(x74021,a874))) % 197.39/197.43 [7403]~P101(x74031)+~P1(f341(f72(x74031),x74033))+E(f15(x74031,f192(x74031),f341(f341(f318(x74031),x74032),x74033)),x74032)+~E(f341(f341(f3(f889(x74031,a874)),x74033),f341(f341(f318(x74031),x74032),f193(f889(x74031,a874)))),f193(f889(x74031,a874))) % 197.39/197.43 [7415]~P114(x74151)+~P1(f341(f341(f242(x74151),x74152),x74153))+~P1(f341(f341(f242(x74151),f341(f90(x74151),x74152)),x74153))+P1(f341(f341(f242(x74151),f341(f85(x74151),x74152)),x74153)) % 197.39/197.43 [7417]~P81(x74171)+~P1(f341(f341(f241(x74171),x74172),x74173))+~P1(f341(f341(f241(x74171),f341(f90(x74171),x74172)),x74173))+P1(f341(f341(f241(x74171),f341(f85(x74171),x74172)),x74173)) % 197.39/197.43 [7475]~P129(x74751)+P1(f341(f341(f242(x74751),f2(x74751)),x74752))+~P1(f341(f341(f242(x74751),f2(x74751)),x74753))+~P1(f341(f341(f242(x74751),f2(x74751)),f341(f341(f92(x74751),x74753),x74752))) % 197.39/197.43 [7476]~P129(x74761)+P1(f341(f341(f242(x74761),f2(x74761)),x74762))+~P1(f341(f341(f242(x74761),f2(x74761)),x74763))+~P1(f341(f341(f242(x74761),f2(x74761)),f341(f341(f92(x74761),x74762),x74763))) % 197.39/197.43 [7780]E(x77801,x77802)+~P1(f341(f72(x77803),x77801))+~P1(f341(f341(f241(a881),f341(f37(x77803),x77801)),f341(f37(x77803),x77802)))+~P1(f341(f341(f241(f889(x77803,a874)),x77802),x77801)) % 197.39/197.43 [7919]~P1(f341(f341(f242(a1),x79191),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x79192))+~P1(f341(f341(f241(a1),x79192),x79193))+P1(f341(f341(f241(a1),f341(f341(f38(a1),x79191),x79192)),f341(f341(f38(a1),x79191),x79193))) % 197.39/197.43 [7929]~P1(f341(f341(f242(a1),f2(a1)),x79293))+~P1(f341(f341(f241(a1),f2(a1)),x79291))+~P1(f341(f341(f241(a1),x79293),x79292))+P1(f341(f341(f241(a1),f341(f341(f38(a1),x79291),x79292)),f341(f341(f38(a1),x79291),x79293))) % 197.39/197.43 [8070]E(f341(x80701,f366(x80702,x80701,x80703)),x80702)+~P1(f341(f341(f241(a1),x80702),f341(x80701,x80703)))+P1(f341(f341(f242(a881),f367(x80702,x80701,x80703)),x80703))+~P1(f341(f341(f241(a1),f341(x80701,f2(a881))),x80702)) % 197.39/197.43 [8071]E(f341(x80711,f369(x80712,x80711,x80713)),x80712)+~P1(f341(f341(f241(a1),x80712),f341(x80711,x80713)))+P1(f341(f341(f242(a881),f370(x80712,x80711,x80713)),x80713))+~P1(f341(f341(f241(a1),f341(x80711,f2(a881))),x80712)) % 197.39/197.43 [8178]~P70(x81781)+~P72(x81781)+~P36(x81783)+E(f341(f341(f8(a881,x81781),f341(f341(f10(a1,x81781,a881),x81782),f116(a1))),f341(f341(f317(a1,a881),a119),x81783)),f341(f341(f8(a1,x81781),x81782),x81783)) % 197.39/197.43 [8179]~P70(x81791)+~P72(x81791)+~P36(x81793)+E(f341(f341(f11(a881,x81791),f341(f341(f10(a1,x81791,a881),x81792),f116(a1))),f341(f341(f317(a1,a881),a119),x81793)),f341(f341(f11(a1,x81791),x81792),x81793)) % 197.39/197.43 [8181]~P1(f341(f72(x81811),x81813))+~P1(f341(f341(f242(a881),f341(f37(x81811),x81812)),f341(f37(x81811),x81813)))+~P1(f341(f341(f241(f889(x81811,a874)),x81812),x81813))+P1(f341(f341(f242(f889(x81811,a874)),x81812),x81813)) % 197.39/197.43 [8207]E(f341(f341(f3(a1),f553(x82073,x82071,x82072)),f554(x82073,x82071,x82072)),x82071)+E(f341(f341(f91(a1),x82071),x82072),x82071)+~P1(f341(f341(f242(a1),f2(a1)),x82072))+~P1(f341(f341(f344(a1),f341(f341(f91(a1),x82071),f89(a1))),x82073)) % 197.39/197.43 [8208]E(f341(f341(f91(a1),f555(x82083,x82081,x82082)),f556(x82083,x82081,x82082)),x82081)+E(f341(f341(f3(a1),x82081),x82082),x82081)+~P1(f341(f341(f242(a1),f2(a1)),x82082))+~P1(f341(f341(f344(a1),f341(f341(f3(a1),x82081),f89(a1))),x82083)) % 197.39/197.43 [8254]~P1(f341(f341(f241(a881),x82543),x82541))+P1(f341(f341(f242(a881),x82541),x82542))+~P1(f341(f341(f241(a881),x82543),x82542))+~P1(f341(f341(f242(a881),f341(f341(f3(a881),x82541),x82543)),f341(f341(f3(a881),x82542),x82543))) % 197.39/197.43 [8255]~P1(f341(f341(f241(a881),x82553),x82551))+P1(f341(f341(f241(a881),x82551),x82552))+~P1(f341(f341(f241(a881),x82553),x82552))+~P1(f341(f341(f241(a881),f341(f341(f3(a881),x82551),x82553)),f341(f341(f3(a881),x82552),x82553))) % 197.39/197.43 [8273]~P101(x82732)+E(x82731,f129(x82732))+~P16(x82732,f341(f173(x82732),x82731))+E(f341(f147(x82732,x82732,f341(f9(x82732,x82732,x82732),f192(x82732)),x82733),f341(f173(x82732),x82731)),f341(f341(f192(x82732),f341(f341(f169(x82732),x82731),f2(a881))),x82733)) % 197.39/197.43 [8318]~P8(x83181)+~P35(x83181,x83181,x83183)+P1(f341(f341(f241(x83181),x83182),f113(x83181,x83183)))+~P1(f341(f341(f241(x83181),x83182),f341(x83183,f341(f341(f125(x83181),x83182),f113(x83181,x83183))))) % 197.39/197.43 [8339]E(f341(f341(f91(a1),x83391),x83392),x83391)+~P1(f341(f341(f242(a1),f2(a1)),x83392))+P1(f341(f341(f344(a1),f553(x83393,x83391,x83392)),x83393))+~P1(f341(f341(f344(a1),f341(f341(f91(a1),x83391),f89(a1))),x83393)) % 197.39/197.43 [8340]E(f341(f341(f3(a1),x83401),x83402),x83401)+~P1(f341(f341(f242(a1),f2(a1)),x83402))+P1(f341(f341(f344(a1),f555(x83403,x83401,x83402)),x83403))+~P1(f341(f341(f344(a1),f341(f341(f3(a1),x83401),f89(a1))),x83403)) % 197.39/197.43 [8419]~P1(f341(f341(f241(a1),x84191),f341(x84192,x84193)))+P1(f341(f341(f241(a881),f366(x84191,x84192,x84193)),x84193))+P1(f341(f341(f242(a881),f367(x84191,x84192,x84193)),x84193))+~P1(f341(f341(f241(a1),f341(x84192,f2(a881))),x84191)) % 197.39/197.43 [8420]~P1(f341(f341(f241(a1),x84201),f341(x84202,x84203)))+P1(f341(f341(f241(a881),f369(x84201,x84202,x84203)),x84203))+P1(f341(f341(f242(a881),f370(x84201,x84202,x84203)),x84203))+~P1(f341(f341(f241(a1),f341(x84202,f2(a881))),x84201)) % 197.39/197.43 [8495]E(f341(f341(f91(a1),x84951),x84952),x84951)+~P1(f341(f341(f242(a1),f2(a1)),x84952))+P1(f341(f341(f344(a1),f554(x84953,x84951,x84952)),f310(a1,f89(a1),x84952)))+~P1(f341(f341(f344(a1),f341(f341(f91(a1),x84951),f89(a1))),x84953)) % 197.39/197.43 [8496]E(f341(f341(f3(a1),x84961),x84962),x84961)+~P1(f341(f341(f242(a1),f2(a1)),x84962))+P1(f341(f341(f344(a1),f556(x84963,x84961,x84962)),f310(a1,f89(a1),x84962)))+~P1(f341(f341(f344(a1),f341(f341(f3(a1),x84961),f89(a1))),x84963)) % 197.39/197.43 [8633]~P121(x86331)+~P1(f341(f341(f242(x86331),x86332),f89(x86331)))+~P1(f341(f341(f242(x86331),f2(x86331)),x86332))+P1(f341(f341(f242(x86331),f341(f341(f92(x86331),x86332),f341(f341(f251(x86331),x86332),x86333))),f341(f341(f251(x86331),x86332),x86333))) % 197.39/197.43 [8714]~P1(f341(x87141,x87142))+P1(f341(x87141,f2(a881)))+~P1(f341(f341(f242(a881),x87142),x87143))+~P1(f341(x87141,f57(a881,f341(a128,f860(x87142,x87141,x87143)),x87143))) % 197.39/197.43 [8878]E(f359(x88781,x88782,x88783),f2(a881))+P1(f341(f341(x88781,x88783),x88782))+P1(f341(f341(x88781,f359(x88781,x88782,x88783)),f57(a881,f358(x88781,x88782,x88783),f359(x88781,x88782,x88783))))+~P1(f341(f329(f888(a881,a881),a226),f341(f341(f257(a881,a881),x88783),x88782))) % 197.39/197.43 [8978]~P8(x89781)+~P35(x89781,x89781,x89783)+P1(f341(f341(f241(x89781),f341(f341(f125(x89781),x89782),f113(x89781,x89783))),f341(x89783,f341(f341(f125(x89781),x89782),f113(x89781,x89783)))))+~P1(f341(f341(f241(x89781),x89782),f341(x89783,f341(f341(f125(x89781),x89782),f113(x89781,x89783))))) % 197.39/197.43 [9132]P1(f341(f341(x91321,x91322),x91323))+~P1(f341(f341(f242(a1),f357(x91321,x91323,x91322)),f2(a1)))+P1(f341(f341(x91321,f341(f90(a1),f356(x91321,x91323,x91322))),f341(f90(a1),f357(x91321,x91323,x91322))))+~P1(f341(f329(f888(a1,a1),a228),f341(f341(f257(a1,a1),x91322),x91323))) % 197.39/197.43 [9322]P1(f341(f341(x93221,x93222),x93223))+P1(f341(f341(x93221,f341(f341(f91(a1),f530(x93221,x93223,x93222)),f89(a1))),f533(x93221,x93223,x93222)))+~P1(f341(f341(f241(a1),f530(x93221,x93223,x93222)),f533(x93221,x93223,x93222)))+~P1(f341(f329(f888(a1,a1),a185),f341(f341(f257(a1,a1),x93222),x93223))) % 197.39/197.43 [9737]~P61(x97372)+~P61(x97371)+~P1(f341(f68(f888(x97371,x97372)),x97373))+P1(f341(f68(x97371),f341(f341(f10(f889(x97372,a874),a874,x97371),f68(x97372)),f341(f341(f10(f889(x97372,f888(x97371,x97372)),f889(x97372,a874),x97371),f341(f10(f888(x97371,x97372),a874,x97372),x97373)),f257(x97371,x97372))))) % 197.39/197.43 [9823]~P61(x98232)+~P61(x98231)+P1(f341(f68(f888(x98231,x98232)),x98233))+~P1(f341(f68(x98231),f341(f341(f10(f889(x98232,a874),a874,x98231),f68(x98232)),f341(f341(f10(f889(x98232,f888(x98231,x98232)),f889(x98232,a874),x98231),f341(f10(f888(x98231,x98232),a874,x98232),x98233)),f257(x98231,x98232))))) % 197.39/197.43 [10000]E(f341(x100001,f366(x100002,x100001,x100003)),x100002)+~P1(f341(f341(f241(a1),x100002),f341(x100001,x100003)))+~P1(f341(f341(f241(a1),f341(f85(a1),f341(f341(f3(a1),f341(x100001,f341(f341(f91(a881),f367(x100002,x100001,x100003)),f89(a881)))),f341(x100001,f367(x100002,x100001,x100003))))),f89(a1)))+~P1(f341(f341(f241(a1),f341(x100001,f2(a881))),x100002)) % 197.39/197.43 [10001]E(f341(x100011,f369(x100012,x100011,x100013)),x100012)+~P1(f341(f341(f241(a1),x100012),f341(x100011,x100013)))+~P1(f341(f341(f241(a1),f341(f85(a1),f341(f341(f3(a1),f341(x100011,f341(f341(f91(a881),f370(x100012,x100011,x100013)),f89(a881)))),f341(x100011,f370(x100012,x100011,x100013))))),f89(a1)))+~P1(f341(f341(f241(a1),f341(x100011,f2(a881))),x100012)) % 197.39/197.43 [10004]~P1(f341(f341(f241(a1),x100041),f341(x100042,x100043)))+~P1(f341(f341(f241(a1),f341(f85(a1),f341(f341(f3(a1),f341(x100042,f341(f341(f91(a881),f367(x100041,x100042,x100043)),f89(a881)))),f341(x100042,f367(x100041,x100042,x100043))))),f89(a1)))+P1(f341(f341(f241(a881),f366(x100041,x100042,x100043)),x100043))+~P1(f341(f341(f241(a1),f341(x100042,f2(a881))),x100041)) % 197.39/197.43 [10005]~P1(f341(f341(f241(a1),x100051),f341(x100052,x100053)))+~P1(f341(f341(f241(a1),f341(f85(a1),f341(f341(f3(a1),f341(x100052,f341(f341(f91(a881),f370(x100051,x100052,x100053)),f89(a881)))),f341(x100052,f370(x100051,x100052,x100053))))),f89(a1)))+P1(f341(f341(f241(a881),f369(x100051,x100052,x100053)),x100053))+~P1(f341(f341(f241(a1),f341(x100052,f2(a881))),x100051)) % 197.39/197.43 [10098]E(x100981,x100982)+~E(f341(f147(f883(x100983),f883(x100983),f137(x100983),f129(x100983)),x100981),f341(f147(f883(x100983),f883(x100983),f137(x100983),f129(x100983)),x100982))+~E(f341(f194(f883(f883(x100983))),x100981),f341(f194(f883(f883(x100983))),x100982))+~P1(f341(f341(f262(f883(x100983),f883(x100983),a874),f341(f341(f9(f883(x100983),f889(f883(x100983),a881),f889(f883(x100983),a874)),f341(f341(f10(f889(a881,a874),f889(f889(f883(x100983),a881),f889(f883(x100983),a874)),f883(x100983)),f10(a881,a874,f883(x100983))),f341(f341(f10(a881,f889(a881,a874),f883(x100983)),a338),f194(f883(x100983))))),f194(f883(x100983)))),f545(x100982,x100981,x100983))) % 197.39/197.43 [10099]E(x100991,x100992)+~E(f341(f147(f883(x100993),f883(x100993),f137(x100993),f129(x100993)),x100991),f341(f147(f883(x100993),f883(x100993),f137(x100993),f129(x100993)),x100992))+~E(f341(f194(f883(f883(x100993))),x100991),f341(f194(f883(f883(x100993))),x100992))+~P1(f341(f341(f262(f883(x100993),f883(x100993),a874),f341(f341(f9(f883(x100993),f889(f883(x100993),a881),f889(f883(x100993),a874)),f341(f341(f10(f889(a881,a874),f889(f889(f883(x100993),a881),f889(f883(x100993),a874)),f883(x100993)),f10(a881,a874,f883(x100993))),f341(f341(f10(a881,f889(a881,a874),f883(x100993)),a338),f194(f883(x100993))))),f194(f883(x100993)))),f546(x100991,x100992,x100993))) % 197.39/197.43 [6807]~E(f89(a881),f2(a881))+~P1(f341(f72(x68071),x68073))+~P1(f341(f72(x68071),x68072))+E(f341(f341(f91(a881),f341(f37(x68071),x68072)),f341(f37(x68071),x68073)),f341(f37(x68071),f341(f341(f125(f889(x68071,a874)),x68072),x68073))) % 197.39/197.43 [7227]~P101(x72271)+~P1(f341(f72(x72271),x72272))+~P1(f341(f341(f344(x72271),x72273),x72272))+P1(f341(f341(f241(x72271),f341(f74(x72271,f246(x72271)),x72272)),x72273)) % 197.39/197.43 [7228]~P100(x72281)+~P1(f341(f72(x72281),x72282))+~P1(f341(f341(f344(x72281),x72283),x72282))+P1(f341(f341(f241(x72281),f341(f74(x72281,f126(x72281)),x72282)),x72283)) % 197.39/197.43 [7471]~P1(f341(f72(x74711),x74713))+~P1(f341(f72(x74711),x74712))+~E(f341(f341(f126(f889(x74711,a874)),x74712),x74713),f193(f889(x74711,a874)))+E(f341(f341(f91(a881),f341(f37(x74711),x74712)),f341(f37(x74711),x74713)),f341(f37(x74711),f341(f341(f125(f889(x74711,a874)),x74712),x74713))) % 197.39/197.43 [8259]~P34(x82591,x82593)+~P34(x82591,x82592)+~E(f341(f341(f126(f889(x82591,a874)),f341(f272(x82591,x82591),x82592)),f341(f270(x82591,x82591),x82593)),f193(f889(x82591,a874)))+P34(x82591,f341(f341(f125(f889(f888(x82591,x82591),a874)),x82592),x82593)) % 197.39/197.43 [8351]E(x83511,f341(f341(f38(a881),x83512),x83513))+~P1(f341(f341(f242(a881),f2(a881)),x83513))+~P1(f341(f341(f242(a881),x83512),f341(f341(f92(a881),x83513),f341(a128,x83511))))+~P1(f341(f341(f241(a881),f341(f341(f92(a881),x83513),x83511)),x83512)) % 197.39/197.43 [8493]~P1(f341(f72(x84931),x84932))+~P1(f341(f72(x84931),x84933))+E(f341(f341(f91(a881),f341(f37(x84931),x84932)),f341(f37(x84931),x84933)),f341(f37(x84931),f341(f341(f125(f889(x84931,a874)),x84932),x84933)))+P1(f341(f341(f344(x84931),f613(x84933,x84932,x84931)),f341(f341(f126(f889(x84931,a874)),x84932),x84933))) % 197.39/197.43 [8754]~P18(x87541,x87541,x87542,x87543)+E(f341(f341(f317(x87541,x87541),x87542),x87543),x87543)+~P1(f341(f72(x87541),x87543))+~P1(f341(f341(f241(f889(x87541,a874)),f341(f341(f317(x87541,x87541),x87542),x87543)),x87543)) % 197.39/197.43 [8888]~P122(x88882)+~E(x88881,f2(x88882))+~E(x88883,f2(x88882))+~P1(f341(f341(f242(x88882),f2(x88882)),f341(f341(f91(x88882),f341(f341(f92(x88882),x88883),x88883)),f341(f341(f92(x88882),x88881),x88881)))) % 197.39/197.43 [9394]~P34(x93941,x93943)+~P34(x93941,x93942)+P34(x93941,f341(f341(f125(f889(f888(x93941,x93941),a874)),x93942),x93943))+~P1(f341(f341(f241(f889(f888(x93941,x93941),a874)),f341(f341(f296(x93941,x93941,x93941),x93942),x93943)),x93942)) % 197.39/197.43 [9526]~P1(f341(x95261,x95263))+~P1(f341(f72(x95262),x95263))+P1(f341(x95261,f193(f889(x95262,a874))))+~P1(f341(x95261,f341(f341(f3(f889(x95262,a874)),f758(x95261,x95263,x95262)),f341(f341(f318(x95262),f759(x95261,x95263,x95262)),f193(f889(x95262,a874)))))) % 197.39/197.43 [8666]~P1(f341(f341(f242(a1),f2(a1)),x86663))+P1(f341(f341(f241(a1),f2(a1)),x86661))+~P1(f341(f341(f242(a1),x86662),x86663))+~P1(f341(f341(f241(a1),f2(a1)),f341(f341(f91(a1),f341(f341(f92(a1),x86663),x86661)),x86662))) % 197.39/197.43 [8685]~P95(x86851)+~P1(f341(f72(x86851),x86852))+E(f341(f341(f3(f889(x86851,a874)),x86852),f341(f341(f318(x86851),x86853),f193(f889(x86851,a874)))),f193(f889(x86851,a874)))+E(f341(f341(f125(x86851),x86853),f12(x86851,f341(f341(f3(f889(x86851,a874)),x86852),f341(f341(f318(x86851),x86853),f193(f889(x86851,a874)))))),f12(x86851,f341(f341(f318(x86851),x86853),x86852))) % 197.39/197.43 [8686]~P95(x86861)+~P1(f341(f72(x86861),x86862))+E(f341(f341(f3(f889(x86861,a874)),x86862),f341(f341(f318(x86861),x86863),f193(f889(x86861,a874)))),f193(f889(x86861,a874)))+E(f341(f341(f126(x86861),x86863),f13(x86861,f341(f341(f3(f889(x86861,a874)),x86862),f341(f341(f318(x86861),x86863),f193(f889(x86861,a874)))))),f13(x86861,f341(f341(f318(x86861),x86863),x86862))) % 197.39/197.43 [8687]~P101(x86871)+~P1(f341(f72(x86871),x86872))+E(f341(f341(f3(f889(x86871,a874)),x86872),f341(f341(f318(x86871),x86873),f193(f889(x86871,a874)))),f193(f889(x86871,a874)))+E(f341(f341(f246(x86871),x86873),f16(x86871,f341(f341(f3(f889(x86871,a874)),x86872),f341(f341(f318(x86871),x86873),f193(f889(x86871,a874)))))),f16(x86871,f341(f341(f318(x86871),x86873),x86872))) % 197.39/197.43 [8688]~P101(x86881)+~P1(f341(f72(x86881),x86882))+E(f341(f341(f3(f889(x86881,a874)),x86882),f341(f341(f318(x86881),x86883),f193(f889(x86881,a874)))),f193(f889(x86881,a874)))+E(f341(f341(f192(x86881),x86883),f17(x86881,f341(f341(f3(f889(x86881,a874)),x86882),f341(f341(f318(x86881),x86883),f193(f889(x86881,a874)))))),f17(x86881,f341(f341(f318(x86881),x86883),x86882))) % 197.39/197.43 [8764]~P101(x87641)+~P1(f341(f72(x87641),x87642))+E(f341(f341(f3(f889(x87641,a874)),x87642),f341(f341(f318(x87641),x87643),f193(f889(x87641,a874)))),f193(f889(x87641,a874)))+E(f341(f341(f246(x87641),x87643),f14(x87641,f246(x87641),f341(f341(f3(f889(x87641,a874)),x87642),f341(f341(f318(x87641),x87643),f193(f889(x87641,a874)))))),f14(x87641,f246(x87641),f341(f341(f318(x87641),x87643),x87642))) % 197.39/197.43 [8765]~P101(x87651)+~P1(f341(f72(x87651),x87652))+E(f341(f341(f3(f889(x87651,a874)),x87652),f341(f341(f318(x87651),x87653),f193(f889(x87651,a874)))),f193(f889(x87651,a874)))+E(f341(f341(f192(x87651),x87653),f15(x87651,f192(x87651),f341(f341(f3(f889(x87651,a874)),x87652),f341(f341(f318(x87651),x87653),f193(f889(x87651,a874)))))),f15(x87651,f192(x87651),f341(f341(f318(x87651),x87653),x87652))) % 197.39/197.43 [9137]~P8(x91371)+~P35(x91371,x91371,x91372)+P1(f341(f341(f241(x91371),f112(x91371,x91372)),x91373))+~P1(f341(f341(f241(x91371),f341(x91372,f341(f341(f126(x91371),f112(x91371,x91372)),x91373))),x91373)) % 197.39/197.43 [9338]E(x93381,x93382)+~E(f341(f147(f883(x93383),f883(x93383),f137(x93383),f129(x93383)),x93381),f341(f147(f883(x93383),f883(x93383),f137(x93383),f129(x93383)),x93382))+~E(f341(f194(f883(f883(x93383))),x93381),f341(f194(f883(f883(x93383))),x93382))+P1(f341(f341(f344(f888(f883(x93383),f883(x93383))),f545(x93382,x93381,x93383)),f341(f176(f888(f883(x93383),f883(x93383))),f341(f341(f184(f883(x93383),f883(x93383)),x93381),x93382)))) % 197.39/197.43 [9339]E(x93391,x93392)+~E(f341(f147(f883(x93393),f883(x93393),f137(x93393),f129(x93393)),x93391),f341(f147(f883(x93393),f883(x93393),f137(x93393),f129(x93393)),x93392))+~E(f341(f194(f883(f883(x93393))),x93391),f341(f194(f883(f883(x93393))),x93392))+P1(f341(f341(f344(f888(f883(x93393),f883(x93393))),f546(x93391,x93392,x93393)),f341(f176(f888(f883(x93393),f883(x93393))),f341(f341(f184(f883(x93393),f883(x93393)),x93392),x93391)))) % 197.39/197.43 [10204]~P75(x102042)+E(x102041,f193(f889(x102042,a874)))+~P1(f341(f72(x102042),x102041))+E(f16(x102042,f341(f267(x102042),f341(f341(f10(f889(x102042,a874),a874,x102042),f98(x102042)),f341(f341(f9(x102042,f889(x102042,a874),f889(x102042,a874)),f341(f341(f10(f889(x102042,f889(a874,a874)),f889(f889(x102042,a874),f889(x102042,a874)),x102042),f20(x102042,a874,a874)),f341(f341(f10(f889(x102042,a874),f889(x102042,f889(a874,a874)),x102042),f341(f10(a874,f889(a874,a874),x102042),a339)),f341(f341(f9(x102042,f889(x102042,x102042),f889(x102042,a874)),f341(f341(f10(f889(x102042,a874),f889(f889(x102042,x102042),f889(x102042,a874)),x102042),f10(x102042,a874,x102042)),a338)),f341(f91(x102042),x102043))))),f341(f341(f9(x102042,f889(x102042,a874),a874),f344(x102042)),x102041))))),f341(f341(f91(x102042),x102043),f16(x102042,x102041))) % 197.39/197.43 [10205]~P75(x102052)+E(x102051,f193(f889(x102052,a874)))+~P1(f341(f72(x102052),x102051))+E(f17(x102052,f341(f267(x102052),f341(f341(f10(f889(x102052,a874),a874,x102052),f98(x102052)),f341(f341(f9(x102052,f889(x102052,a874),f889(x102052,a874)),f341(f341(f10(f889(x102052,f889(a874,a874)),f889(f889(x102052,a874),f889(x102052,a874)),x102052),f20(x102052,a874,a874)),f341(f341(f10(f889(x102052,a874),f889(x102052,f889(a874,a874)),x102052),f341(f10(a874,f889(a874,a874),x102052),a339)),f341(f341(f9(x102052,f889(x102052,x102052),f889(x102052,a874)),f341(f341(f10(f889(x102052,a874),f889(f889(x102052,x102052),f889(x102052,a874)),x102052),f10(x102052,a874,x102052)),a338)),f341(f91(x102052),x102053))))),f341(f341(f9(x102052,f889(x102052,a874),a874),f344(x102052)),x102051))))),f341(f341(f91(x102052),x102053),f17(x102052,x102051))) % 197.39/197.43 [10206]~P99(x102062)+E(x102061,f193(f889(x102062,a874)))+~P1(f341(f72(x102062),x102061))+E(f13(x102062,f341(f267(x102062),f341(f341(f10(f889(x102062,a874),a874,x102062),f98(x102062)),f341(f341(f9(x102062,f889(x102062,a874),f889(x102062,a874)),f341(f341(f10(f889(x102062,f889(a874,a874)),f889(f889(x102062,a874),f889(x102062,a874)),x102062),f20(x102062,a874,a874)),f341(f341(f10(f889(x102062,a874),f889(x102062,f889(a874,a874)),x102062),f341(f10(a874,f889(a874,a874),x102062),a339)),f341(f341(f9(x102062,f889(x102062,x102062),f889(x102062,a874)),f341(f341(f10(f889(x102062,a874),f889(f889(x102062,x102062),f889(x102062,a874)),x102062),f10(x102062,a874,x102062)),a338)),f341(f125(x102062),x102063))))),f341(f341(f9(x102062,f889(x102062,a874),a874),f344(x102062)),x102061))))),f341(f341(f125(x102062),x102063),f13(x102062,x102061))) % 197.39/197.43 [10207]~P99(x102072)+E(x102071,f193(f889(x102072,a874)))+~P1(f341(f72(x102072),x102071))+E(f12(x102072,f341(f267(x102072),f341(f341(f10(f889(x102072,a874),a874,x102072),f98(x102072)),f341(f341(f9(x102072,f889(x102072,a874),f889(x102072,a874)),f341(f341(f10(f889(x102072,f889(a874,a874)),f889(f889(x102072,a874),f889(x102072,a874)),x102072),f20(x102072,a874,a874)),f341(f341(f10(f889(x102072,a874),f889(x102072,f889(a874,a874)),x102072),f341(f10(a874,f889(a874,a874),x102072),a339)),f341(f341(f9(x102072,f889(x102072,x102072),f889(x102072,a874)),f341(f341(f10(f889(x102072,a874),f889(f889(x102072,x102072),f889(x102072,a874)),x102072),f10(x102072,a874,x102072)),a338)),f341(f126(x102072),x102073))))),f341(f341(f9(x102072,f889(x102072,a874),a874),f344(x102072)),x102071))))),f341(f341(f126(x102072),x102073),f12(x102072,x102071))) % 197.39/197.43 [10208]~P101(x102082)+E(x102081,f193(f889(x102082,a874)))+~P1(f341(f72(x102082),x102081))+E(f15(x102082,f192(x102082),f341(f267(x102082),f341(f341(f10(f889(x102082,a874),a874,x102082),f98(x102082)),f341(f341(f9(x102082,f889(x102082,a874),f889(x102082,a874)),f341(f341(f10(f889(x102082,f889(a874,a874)),f889(f889(x102082,a874),f889(x102082,a874)),x102082),f20(x102082,a874,a874)),f341(f341(f10(f889(x102082,a874),f889(x102082,f889(a874,a874)),x102082),f341(f10(a874,f889(a874,a874),x102082),a339)),f341(f341(f9(x102082,f889(x102082,x102082),f889(x102082,a874)),f341(f341(f10(f889(x102082,a874),f889(f889(x102082,x102082),f889(x102082,a874)),x102082),f10(x102082,a874,x102082)),a338)),f341(f246(x102082),x102083))))),f341(f341(f9(x102082,f889(x102082,a874),a874),f344(x102082)),x102081))))),f341(f341(f246(x102082),x102083),f15(x102082,f192(x102082),x102081))) % 197.39/197.43 [10209]~P101(x102092)+E(x102091,f193(f889(x102092,a874)))+~P1(f341(f72(x102092),x102091))+E(f14(x102092,f246(x102092),f341(f267(x102092),f341(f341(f10(f889(x102092,a874),a874,x102092),f98(x102092)),f341(f341(f9(x102092,f889(x102092,a874),f889(x102092,a874)),f341(f341(f10(f889(x102092,f889(a874,a874)),f889(f889(x102092,a874),f889(x102092,a874)),x102092),f20(x102092,a874,a874)),f341(f341(f10(f889(x102092,a874),f889(x102092,f889(a874,a874)),x102092),f341(f10(a874,f889(a874,a874),x102092),a339)),f341(f341(f9(x102092,f889(x102092,x102092),f889(x102092,a874)),f341(f341(f10(f889(x102092,a874),f889(f889(x102092,x102092),f889(x102092,a874)),x102092),f10(x102092,a874,x102092)),a338)),f341(f192(x102092),x102093))))),f341(f341(f9(x102092,f889(x102092,a874),a874),f344(x102092)),x102091))))),f341(f341(f192(x102092),x102093),f14(x102092,f246(x102092),x102091))) % 197.39/197.43 [9887]~P114(x98871)+~E(x98873,f2(x98871))+~E(x98872,f2(x98871))+E(f341(f341(f91(x98871),f341(f341(f251(x98871),x98872),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x98871),x98873),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f2(x98871)) % 197.39/197.43 [10082]~P121(x100821)+~P1(f341(f341(f241(x100821),f2(x100821)),x100823))+P1(f341(f341(f241(x100821),x100822),x100823))+~P1(f341(f341(f241(x100821),f341(f341(f251(x100821),x100822),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x100821),x100823),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))))) % 197.39/197.43 [10141]~P114(x101412)+~E(x101411,f2(x101412))+~E(x101413,f2(x101412))+~P1(f341(f341(f242(x101412),f2(x101412)),f341(f341(f91(x101412),f341(f341(f251(x101412),x101413),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))),f341(f341(f251(x101412),x101411),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))))) % 197.39/197.43 [6691]~P10(x66913,x66912)+~P1(f341(x66911,x66914))+~P1(f341(f341(f344(x66913),x66914),f277(x66913,x66912)))+P1(f341(x66911,f440(x66911,x66912,x66913))) % 197.39/197.43 [6859]~P1(f341(x68593,x68594))+P1(f341(x68593,f644(x68593,x68592,x68591)))+~P1(f341(f341(f344(x68591),x68594),f277(x68591,x68592)))+P1(f341(f279(x68591,x68592),x68593)) % 197.39/197.43 [6860]~P1(f341(x68603,x68604))+P1(f341(x68603,f655(x68603,x68602,x68601)))+~P1(f341(f341(f344(x68601),x68604),f277(x68601,x68602)))+P1(f341(f279(x68601,x68602),x68603)) % 197.39/197.43 [7023]~P10(x70233,x70234)+P1(f341(x70231,x70232))+~P1(f341(x70231,f806(x70231,x70234,x70233)))+~P1(f341(f341(f344(x70233),x70232),f277(x70233,x70234))) % 197.39/197.43 [7246]~E(f782(x72463,x72462,x72461,x72464),x72464)+~P1(f341(x72463,x72464))+~P1(f341(f341(f344(x72461),x72464),f277(x72461,x72462)))+P1(f341(f279(x72461,x72462),x72463)) % 197.39/197.43 [7700]~P1(f341(x77003,x77004))+P1(f341(f341(f344(x77001),f644(x77003,x77002,x77001)),f277(x77001,x77002)))+~P1(f341(f341(f344(x77001),x77004),f277(x77001,x77002)))+P1(f341(f279(x77001,x77002),x77003)) % 197.39/197.43 [7701]~P1(f341(x77013,x77014))+P1(f341(f341(f344(x77011),f655(x77013,x77012,x77011)),f277(x77011,x77012)))+~P1(f341(f341(f344(x77011),x77014),f277(x77011,x77012)))+P1(f341(f279(x77011,x77012),x77013)) % 197.39/197.43 [8260]~P1(f341(x82603,x82604))+~P1(f341(f341(f344(x82601),x82604),f277(x82601,x82602)))+P1(f341(x82603,f782(x82603,x82602,x82601,x82604)))+P1(f341(f279(x82601,x82602),x82603)) % 197.39/197.43 [8356]~P1(f341(x83563,x83564))+~P1(f341(f341(f344(x83561),x83564),f277(x83561,x83562)))+~P1(f341(f341(x83562,f644(x83563,x83562,x83561)),f655(x83563,x83562,x83561)))+P1(f341(f279(x83561,x83562),x83563)) % 197.39/197.43 [8898]~P1(f341(x88983,x88984))+~P1(f341(f341(f344(x88981),x88984),f277(x88981,x88982)))+P1(f341(f341(f344(x88981),f782(x88983,x88982,x88981,x88984)),f277(x88981,x88982)))+P1(f341(f279(x88981,x88982),x88983)) % 197.39/197.43 [9304]E(x93041,x93042)+~E(f504(x93041,x93042,x93044,x93043),f505(x93041,x93042,x93044,x93043))+P1(f341(f341(f344(f888(f883(x93043),f883(x93043))),f341(f341(f257(f883(x93043),f883(x93043)),x93042),x93041)),f152(x93043,x93044)))+P1(f341(f341(f344(f888(f883(x93043),f883(x93043))),f341(f341(f257(f883(x93043),f883(x93043)),x93041),x93042)),f152(x93043,x93044))) % 197.39/197.43 [9491]E(x94911,x94912)+~E(f341(f41(x94913,x94914),x94911),f341(f41(x94913,x94914),x94912))+~P1(f341(f341(f344(f888(f889(a881,f887(x94913,a881)),f887(x94914,a881))),x94912),f51(x94913,x94914)))+~P1(f341(f341(f344(f888(f889(a881,f887(x94913,a881)),f887(x94914,a881))),x94911),f51(x94913,x94914))) % 197.39/197.43 [4839]~P63(x48392)+~E(x48394,f2(x48392))+~E(x48391,f2(x48392))+E(x48391,f341(f341(f298(x48392),x48393),x48394)) % 197.39/197.43 [4840]~P63(x48401)+~E(x48403,f2(x48401))+~E(x48404,f2(x48401))+E(f341(f341(f298(x48401),x48402),x48403),x48404) % 197.39/197.43 [4948]~P63(x49482)+E(x49481,f2(x49482))+~E(x49483,f2(x49482))+~E(x49481,f341(f341(f298(x49482),x49484),x49483)) % 197.39/197.43 [4949]~P63(x49492)+E(x49491,f2(x49492))+~E(x49493,f2(x49492))+~E(f341(f341(f298(x49492),x49494),x49493),x49491) % 197.39/197.43 [5134]~P118(x51342)+E(x51341,f2(x51342))+~E(f341(f341(f298(x51342),x51343),x51341),x51344)+E(x51343,f341(f341(f92(x51342),x51344),x51341)) % 197.39/197.43 [5136]~P118(x51362)+E(x51361,f2(x51362))+~E(f341(f341(f92(x51362),x51363),x51361),x51364)+E(x51363,f341(f341(f298(x51362),x51364),x51361)) % 197.39/197.43 [5137]~P63(x51372)+E(x51371,f2(x51372))+~E(f341(f341(f298(x51372),x51373),x51371),x51374)+E(x51373,f341(f341(f92(x51372),x51374),x51371)) % 197.39/197.43 [5138]~P63(x51382)+E(x51381,f2(x51382))+~E(f341(f341(f92(x51382),x51383),x51381),x51384)+E(x51383,f341(f341(f298(x51382),x51384),x51381)) % 197.39/197.43 [5139]~P118(x51392)+E(x51391,f2(x51392))+~E(x51393,f341(f341(f298(x51392),x51394),x51391))+E(f341(f341(f92(x51392),x51393),x51391),x51394) % 197.39/197.43 [5141]~P118(x51412)+E(x51411,f2(x51412))+~E(x51413,f341(f341(f92(x51412),x51414),x51411))+E(f341(f341(f298(x51412),x51413),x51411),x51414) % 197.39/197.43 [5142]~P63(x51422)+E(x51421,f2(x51422))+~E(x51423,f341(f341(f298(x51422),x51424),x51421))+E(f341(f341(f92(x51422),x51423),x51421),x51424) % 197.39/197.43 [5143]~P63(x51432)+E(x51431,f2(x51432))+~E(x51433,f341(f341(f92(x51432),x51434),x51431))+E(f341(f341(f298(x51432),x51433),x51431),x51434) % 197.39/197.43 [5168]~P63(x51682)+~E(x51681,f2(x51682))+~E(f341(f341(f92(x51682),x51681),x51684),x51683)+E(x51681,f341(f341(f298(x51682),x51683),x51684)) % 197.39/197.43 [5169]~P63(x51691)+~E(x51694,f2(x51691))+~E(x51692,f341(f341(f92(x51691),x51694),x51693))+E(f341(f341(f298(x51691),x51692),x51693),x51694) % 197.39/197.43 [5241]~E(x52413,x52414)+~E(x52412,x52413)+~P105(x52411)+E(f310(x52411,x52412,x52413),f341(f341(f318(x52411),x52414),f193(f889(x52411,a874)))) % 197.39/197.43 [5436]~E(f149(x54362,x54361),x54364)+~E(f130(x54362,x54361),x54363)+E(x54361,f129(x54362))+E(f341(f341(f137(x54362),x54363),f341(f341(f156(x54362),x54364),f129(x54362))),x54361) % 197.39/197.43 [6067]~P121(x60673)+E(x60671,x60672)+~E(f341(f341(f251(x60673),x60674),x60671),f341(f341(f251(x60673),x60674),x60672))+~P1(f341(f341(f242(x60673),f89(x60673)),x60674)) % 197.39/197.43 [6068]E(x60681,x60682)+~E(f341(f341(f318(x60683),x60684),x60681),f341(f341(f318(x60683),x60684),x60682))+P1(f341(f341(f344(x60683),x60684),x60682))+P1(f341(f341(f344(x60683),x60684),x60681)) % 197.39/197.43 [6103]E(f341(x61031,x61032),f2(a881))+~E(f341(f341(f8(x61033,a881),x61031),x61034),f2(a881))+~P1(f341(f72(x61033),x61034))+~P1(f341(f341(f344(x61033),x61032),x61034)) % 197.39/197.43 [6104]E(f341(x61041,x61042),f89(a881))+~E(f341(f341(f11(x61043,a881),x61041),x61044),f89(a881))+~P1(f341(f72(x61043),x61044))+~P1(f341(f341(f344(x61043),x61042),x61044)) % 197.39/197.43 [6323]~P105(x63231)+~P1(f341(f341(f242(x63231),x63234),x63233))+P1(f341(f341(f242(x63231),x63232),x63233))+~P1(f341(f341(f242(x63231),x63232),x63234)) % 197.39/197.43 [6324]~P105(x63241)+~P1(f341(f341(f241(x63241),x63244),x63243))+P1(f341(f341(f242(x63241),x63242),x63243))+~P1(f341(f341(f242(x63241),x63242),x63244)) % 197.39/197.43 [6325]~P105(x63251)+~P1(f341(f341(f241(x63251),x63252),x63254))+P1(f341(f341(f242(x63251),x63252),x63253))+~P1(f341(f341(f242(x63251),x63254),x63253)) % 197.39/197.43 [6326]~P104(x63261)+~P1(f341(f341(f242(x63261),x63262),x63264))+P1(f341(f341(f242(x63261),x63262),x63263))+~P1(f341(f341(f242(x63261),x63264),x63263)) % 197.39/197.43 [6327]~P104(x63271)+~P1(f341(f341(f241(x63271),x63272),x63274))+P1(f341(f341(f242(x63271),x63272),x63273))+~P1(f341(f341(f242(x63271),x63274),x63273)) % 197.39/197.43 [6328]~P104(x63281)+~P1(f341(f341(f241(x63281),x63284),x63283))+P1(f341(f341(f242(x63281),x63282),x63283))+~P1(f341(f341(f242(x63281),x63282),x63284)) % 197.39/197.43 [6329]~P105(x63291)+~P1(f341(f341(f241(x63291),x63294),x63293))+P1(f341(f341(f241(x63291),x63292),x63293))+~P1(f341(f341(f241(x63291),x63292),x63294)) % 197.39/197.43 [6330]~P104(x63301)+~P1(f341(f341(f241(x63301),x63302),x63304))+P1(f341(f341(f241(x63301),x63302),x63303))+~P1(f341(f341(f241(x63301),x63304),x63303)) % 197.39/197.43 [6331]~P108(x63311)+~P1(f341(f341(f294(x63311),x63312),x63314))+P1(f341(f341(f294(x63311),x63312),x63313))+~P1(f341(f341(f294(x63311),x63314),x63313)) % 197.39/197.43 [6422]~P31(x64224,x64223,x64222)+E(x64221,f514(x64222,x64223,x64224))+~P1(f341(x64223,x64221))+~P1(f341(f341(f344(x64224),x64221),f341(f176(x64224),x64222))) % 197.39/197.43 [6423]~P31(x64234,x64233,x64232)+E(x64231,f521(x64232,x64233,x64234))+~P1(f341(x64233,x64231))+~P1(f341(f341(f344(x64234),x64231),f341(f176(x64234),x64232))) % 197.39/197.43 [6577]~P8(x65771)+~P1(f341(f341(f241(x65771),x65772),f40(x65771,x65774)))+P1(f341(f341(f241(x65771),x65772),x65773))+~P1(f341(f341(f344(x65771),x65773),x65774)) % 197.39/197.43 [6727]~P101(x67271)+~P16(x67271,f341(f341(f156(x67271),x67272),x67274))+~P1(f341(f341(f344(x67271),x67273),f341(f176(x67271),x67274)))+P1(f341(f341(f241(x67271),x67272),x67273)) % 197.39/197.43 [6816]~P8(x68161)+~P1(f341(f341(f241(x68161),f39(x68161,x68164)),x68163))+P1(f341(f341(f241(x68161),x68162),x68163))+~P1(f341(f341(f344(x68161),x68162),x68164)) % 197.39/197.43 [6971]~P59(x69711)+P1(f341(f341(f294(x69711),x69712),f57(x69711,x69713,x69714)))+~P1(f341(f341(f294(x69711),x69712),x69714))+~P1(f341(f341(f294(x69711),x69712),x69713)) % 197.39/197.43 [7230]~P101(x72301)+E(f341(f341(f125(f889(x72301,a874)),f341(f309(x72301,x72302),x72303)),f341(f309(x72301,x72303),x72304)),f341(f309(x72301,x72302),x72304))+~P1(f341(f341(f241(x72301),x72303),x72304))+~P1(f341(f341(f241(x72301),x72302),x72303)) % 197.39/197.43 [7268]P31(x72681,x72682,x72683)+~E(f522(x72683,x72682,x72681,x72684),x72684)+~P1(f341(x72682,x72684))+~P1(f341(f341(f344(x72681),x72684),f341(f176(x72681),x72683))) % 197.39/197.43 [7269]P31(x72691,x72692,x72693)+~E(f526(x72693,x72692,x72691,x72694),x72694)+~P1(f341(x72692,x72694))+~P1(f341(f341(f344(x72691),x72694),f341(f176(x72691),x72693))) % 197.39/197.43 [7312]~P59(x73121)+~P1(f341(f341(f294(x73121),x73122),f57(x73121,x73123,x73124)))+P1(f341(f341(f294(x73121),x73122),x73123))+~P1(f341(f341(f294(x73121),x73122),x73124)) % 197.39/197.43 [7347]~P101(x73471)+E(f341(f341(f125(f889(x73471,a874)),f341(f309(x73471,x73472),x73473)),f310(x73471,x73473,x73474)),f310(x73471,x73472,x73474))+~P1(f341(f341(f241(x73471),x73473),x73474))+~P1(f341(f341(f241(x73471),x73472),x73473)) % 197.39/197.43 [7359]~P105(x73591)+~P44(a881,x73591,f294(a881),x73592)+P1(f341(f341(f241(x73591),f341(x73592,x73593)),f341(x73592,x73594)))+~P1(f341(f341(f294(a881),x73593),x73594)) % 197.39/197.43 [7410]~P101(x74101)+E(f341(f341(f125(f889(x74101,a874)),f313(x74101,x74102,x74103)),f341(f309(x74101,x74103),x74104)),f313(x74101,x74102,x74104))+~P1(f341(f341(f242(x74101),x74102),x74103))+~P1(f341(f341(f241(x74101),x74103),x74104)) % 197.39/197.43 [7426]~P101(x74261)+E(f341(f341(f125(f889(x74261,a874)),f310(x74261,x74262,x74263)),f313(x74261,x74263,x74264)),f341(f309(x74261,x74262),x74264))+~P1(f341(f341(f242(x74261),x74263),x74264))+~P1(f341(f341(f241(x74261),x74262),x74263)) % 197.39/197.43 [7451]~P101(x74511)+E(f341(f341(f125(f889(x74511,a874)),f313(x74511,x74512,x74513)),f310(x74511,x74513,x74514)),f312(x74511,x74512,x74514))+~P1(f341(f341(f242(x74511),x74512),x74513))+~P1(f341(f341(f241(x74511),x74513),x74514)) % 197.39/197.43 [7452]~P101(x74521)+E(f341(f341(f125(f889(x74521,a874)),f312(x74521,x74522,x74523)),f313(x74521,x74523,x74524)),f313(x74521,x74522,x74524))+~P1(f341(f341(f242(x74521),x74523),x74524))+~P1(f341(f341(f241(x74521),x74522),x74523)) % 197.39/197.43 [7453]~P101(x74531)+E(f341(f341(f125(f889(x74531,a874)),f312(x74531,x74532,x74533)),f312(x74531,x74533,x74534)),f312(x74531,x74532,x74534))+~P1(f341(f341(f241(x74531),x74533),x74534))+~P1(f341(f341(f241(x74531),x74532),x74533)) % 197.39/197.43 [7454]~P101(x74541)+E(f341(f341(f125(f889(x74541,a874)),f310(x74541,x74542,x74543)),f312(x74541,x74543,x74544)),f310(x74541,x74542,x74544))+~P1(f341(f341(f241(x74541),x74543),x74544))+~P1(f341(f341(f241(x74541),x74542),x74543)) % 197.39/197.43 [8246]P18(x82461,x82462,f692(x82463,x82462,x82464,x82461),x82464)+~P1(f341(f72(x82462),x82463))+~P1(f341(f72(x82461),x82464))+~P1(f341(f341(f241(a881),f341(f37(x82461),x82464)),f341(f37(x82462),x82463))) % 197.39/197.43 [8267]P31(x82671,x82672,x82673)+~P1(f341(x82672,x82674))+P1(f341(x82672,f522(x82673,x82672,x82671,x82674)))+~P1(f341(f341(f344(x82671),x82674),f341(f176(x82671),x82673))) % 197.39/197.43 [8268]P31(x82681,x82682,x82683)+~P1(f341(x82682,x82684))+P1(f341(x82682,f526(x82683,x82682,x82681,x82684)))+~P1(f341(f341(f344(x82681),x82684),f341(f176(x82681),x82683))) % 197.39/197.43 [8599]~P121(x85991)+~P1(f341(f341(f241(x85991),f2(x85991)),x85993))+P1(f341(f341(f241(x85991),x85992),x85993))+~P1(f341(f341(f241(x85991),f341(f341(f251(x85991),x85992),f341(a128,x85994))),f341(f341(f251(x85991),x85993),f341(a128,x85994)))) % 197.39/197.43 [8763]~P35(f889(x87634,a874),f889(x87634,a874),x87633)+P1(f341(x87631,x87632))+~P1(f341(x87631,f485(x87631,x87633,x87632,x87634)))+~P1(f341(f341(f344(x87634),x87632),f112(f889(x87634,a874),x87633))) % 197.39/197.43 [8914]P31(x89141,x89142,x89143)+~P1(f341(x89142,x89144))+~P1(f341(f341(f344(x89141),x89144),f341(f176(x89141),x89143)))+P1(f341(f341(f344(x89141),f522(x89143,x89142,x89141,x89144)),f341(f176(x89141),x89143))) % 197.39/197.43 [8915]P31(x89151,x89152,x89153)+~P1(f341(x89152,x89154))+~P1(f341(f341(f344(x89151),x89154),f341(f176(x89151),x89153)))+P1(f341(f341(f344(x89151),f526(x89153,x89152,x89151,x89154)),f341(f176(x89151),x89153))) % 197.39/197.43 [9248]~P11(x92482,x92483,x92484)+~P1(f341(f72(x92482),x92483))+~P1(f341(f341(f294(a881),x92481),f341(f37(x92482),f616(x92481,x92484,x92483,x92482))))+P1(f341(f341(f294(a881),x92481),f341(f37(x92482),x92483))) % 197.39/197.43 [9463]~P1(f341(f341(f294(a881),x94631),x94633))+~P1(f341(f341(f294(a881),x94631),x94632))+~P1(f341(f341(f294(a881),x94634),x94633))+~P1(f341(f341(f242(f889(a881,a874)),f297(a881,f294(a881),x94631,x94633)),f297(a881,f294(a881),x94632,x94634))) % 197.39/197.43 [9470]~P1(f341(f341(f241(a1),x94704),f2(a1)))+P1(f341(f341(f241(a1),f341(f341(f91(a1),f341(f341(f92(a1),x94701),f57(a1,x94702,x94703))),x94704)),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x94703))+~P1(f341(f341(f242(a1),x94701),x94704)) % 197.39/197.43 [9880]~P1(f341(f72(x98801),x98802))+~P1(f341(f341(f344(x98801),x98804),x98802))+~P1(f341(f341(f344(x98801),x98803),x98802))+P1(f341(f341(f242(a881),f341(f37(x98801),f341(f341(f3(f889(x98801,a874)),f341(f341(f3(f889(x98801,a874)),x98802),f341(f341(f318(x98801),x98803),f193(f889(x98801,a874))))),f341(f341(f318(x98801),x98804),f193(f889(x98801,a874)))))),f341(f37(x98801),x98802))) % 197.39/197.43 [6876]~P139(x68763)+~P117(x68763)+P1(f341(x68761,f420(x68762,x68761,x68763)))+~P1(f341(x68761,f341(f341(f92(x68763),x68762),x68764))) % 197.39/197.43 [6938]~P101(x69381)+~P1(f341(f341(f242(x69381),x69382),x69384))+~P1(f341(f341(f242(x69381),x69382),x69383))+P1(f341(f341(f242(x69381),x69382),f341(f341(f246(x69381),x69383),x69384))) % 197.39/197.43 [6941]~P101(x69411)+~P1(f341(f341(f241(x69411),x69412),x69414))+~P1(f341(f341(f241(x69411),x69412),x69413))+P1(f341(f341(f241(x69411),x69412),f341(f341(f246(x69411),x69413),x69414))) % 197.39/197.43 [6944]~P100(x69441)+~P1(f341(f341(f241(x69441),x69442),x69444))+~P1(f341(f341(f241(x69441),x69442),x69443))+P1(f341(f341(f241(x69441),x69442),f341(f341(f126(x69441),x69443),x69444))) % 197.39/197.43 [6945]~P108(x69451)+~P1(f341(f341(f294(x69451),x69452),x69454))+~P1(f341(f341(f294(x69451),x69452),x69453))+P1(f341(f341(f294(x69451),x69452),f341(f341(f91(x69451),x69453),x69454))) % 197.39/197.43 [6946]~P111(x69461)+~P1(f341(f341(f294(x69461),x69462),x69464))+~P1(f341(f341(f294(x69461),x69462),x69463))+P1(f341(f341(f294(x69461),x69462),f341(f341(f3(x69461),x69463),x69464))) % 197.39/197.43 [6969]~P64(x69692)+E(x69691,f2(x69692))+E(f341(f341(f298(x69692),f341(f341(f251(x69692),x69691),x69693)),f341(f341(f251(x69692),x69691),x69694)),f341(f341(f251(x69692),x69691),f341(f341(f3(a881),x69693),x69694)))+~P1(f341(f341(f241(a881),x69694),x69693)) % 197.39/197.43 [7013]~P101(x70131)+~P16(x70131,f341(f341(f156(x70131),x70133),x70134))+P16(x70131,f341(f341(f156(x70131),x70132),f341(f341(f156(x70131),x70133),x70134)))+~P1(f341(f341(f241(x70131),x70132),x70133)) % 197.39/197.43 [7052]~P121(x70521)+~P1(f341(f341(f242(x70521),f2(x70521)),x70523))+~P1(f341(f341(f242(x70521),x70522),x70524))+P1(f341(f341(f242(x70521),x70522),f341(f341(f91(x70521),x70523),x70524))) % 197.39/197.43 [7053]~P83(x70531)+~P1(f341(f341(f241(x70531),f2(x70531)),x70533))+~P1(f341(f341(f242(x70531),x70532),x70534))+P1(f341(f341(f242(x70531),x70532),f341(f341(f91(x70531),x70533),x70534))) % 197.39/197.43 [7054]~P83(x70541)+~P1(f341(f341(f241(x70541),x70542),x70544))+~P1(f341(f341(f242(x70541),f2(x70541)),x70543))+P1(f341(f341(f242(x70541),x70542),f341(f341(f91(x70541),x70543),x70544))) % 197.39/197.43 [7055]~P83(x70551)+~P1(f341(f341(f241(x70551),f2(x70551)),x70554))+~P1(f341(f341(f241(x70551),x70552),x70553))+P1(f341(f341(f241(x70551),x70552),f341(f341(f91(x70551),x70553),x70554))) % 197.39/197.43 [7056]~P83(x70561)+~P1(f341(f341(f241(x70561),f2(x70561)),x70563))+~P1(f341(f341(f241(x70561),x70562),x70564))+P1(f341(f341(f241(x70561),x70562),f341(f341(f91(x70561),x70563),x70564))) % 197.39/197.43 [7095]~P101(x70951)+P1(f341(f341(f242(x70951),x70952),x70953))+P1(f341(f341(f242(x70951),x70952),x70954))+~P1(f341(f341(f242(x70951),x70952),f341(f341(f192(x70951),x70954),x70953))) % 197.39/197.43 [7096]~P101(x70961)+P1(f341(f341(f241(x70961),x70962),x70963))+P1(f341(f341(f241(x70961),x70962),x70964))+~P1(f341(f341(f241(x70961),x70962),f341(f341(f192(x70961),x70964),x70963))) % 197.39/197.43 [7383]~P105(x73832)+~P61(x73831)+~P1(f341(f341(f242(f889(x73831,x73832)),x73833),x73834))+P1(f341(f341(f241(f889(x73831,x73832)),x73833),x73834)) % 197.39/197.43 [7742]~P66(x77421)+~P1(f341(f341(f242(x77421),x77424),f2(x77421)))+~P1(f341(f341(f242(x77421),x77423),f341(f341(f298(x77421),x77422),x77424)))+P1(f341(f341(f242(x77421),x77422),f341(f341(f92(x77421),x77423),x77424))) % 197.39/197.43 [7743]~P66(x77431)+~P1(f341(f341(f242(x77431),x77434),f2(x77431)))+~P1(f341(f341(f242(x77431),x77433),f341(f341(f92(x77431),x77432),x77434)))+P1(f341(f341(f242(x77431),x77432),f341(f341(f298(x77431),x77433),x77434))) % 197.39/197.43 [7744]~P66(x77441)+~P1(f341(f341(f242(x77441),x77444),f2(x77441)))+~P1(f341(f341(f241(x77441),x77443),f341(f341(f298(x77441),x77442),x77444)))+P1(f341(f341(f241(x77441),x77442),f341(f341(f92(x77441),x77443),x77444))) % 197.39/197.43 [7745]~P66(x77451)+~P1(f341(f341(f242(x77451),x77454),f2(x77451)))+~P1(f341(f341(f241(x77451),x77453),f341(f341(f92(x77451),x77452),x77454)))+P1(f341(f341(f241(x77451),x77452),f341(f341(f298(x77451),x77453),x77454))) % 197.39/197.43 [7851]~P122(x78511)+~P1(f341(f341(f242(x78511),x78513),f2(x78511)))+~P1(f341(f341(f242(x78511),x78514),x78512))+P1(f341(f341(f242(x78511),f341(f341(f92(x78511),x78512),x78513)),f341(f341(f92(x78511),x78514),x78513))) % 197.39/197.43 [7852]~P122(x78521)+~P1(f341(f341(f242(x78521),x78522),f2(x78521)))+~P1(f341(f341(f242(x78521),x78524),x78523))+P1(f341(f341(f242(x78521),f341(f341(f92(x78521),x78522),x78523)),f341(f341(f92(x78521),x78522),x78524))) % 197.39/197.43 [7853]~P66(x78531)+~P1(f341(f341(f242(x78531),x78533),f2(x78531)))+~P1(f341(f341(f242(x78531),x78534),x78532))+P1(f341(f341(f242(x78531),f341(f341(f298(x78531),x78532),x78533)),f341(f341(f298(x78531),x78534),x78533))) % 197.39/197.43 [7854]~P131(x78541)+~P1(f341(f341(f241(x78541),x78542),f2(x78541)))+~P1(f341(f341(f241(x78541),x78544),x78543))+P1(f341(f341(f241(x78541),f341(f341(f92(x78541),x78542),x78543)),f341(f341(f92(x78541),x78542),x78544))) % 197.39/197.43 [7855]~P122(x78551)+~P1(f341(f341(f242(x78551),x78552),f2(x78551)))+~P1(f341(f341(f241(x78551),x78554),x78553))+P1(f341(f341(f241(x78551),f341(f341(f92(x78551),x78552),x78553)),f341(f341(f92(x78551),x78552),x78554))) % 197.39/197.43 [7856]~P131(x78561)+~P1(f341(f341(f241(x78561),x78563),f2(x78561)))+~P1(f341(f341(f241(x78561),x78564),x78562))+P1(f341(f341(f241(x78561),f341(f341(f92(x78561),x78562),x78563)),f341(f341(f92(x78561),x78564),x78563))) % 197.39/197.43 [7857]~P65(x78571)+~P1(f341(f341(f241(x78571),x78573),f2(x78571)))+~P1(f341(f341(f241(x78571),x78574),x78572))+P1(f341(f341(f241(x78571),f341(f341(f298(x78571),x78572),x78573)),f341(f341(f298(x78571),x78574),x78573))) % 197.39/197.43 [7859]~P121(x78591)+~P1(f341(f341(f242(x78591),f89(x78591)),x78592))+~P1(f341(f341(f242(a881),x78593),x78594))+P1(f341(f341(f242(x78591),f341(f341(f251(x78591),x78592),x78593)),f341(f341(f251(x78591),x78592),x78594))) % 197.39/197.44 [7860]~P121(x78601)+~P1(f341(f341(f242(x78601),f89(x78601)),x78602))+~P1(f341(f341(f241(a881),x78603),x78604))+P1(f341(f341(f241(x78601),f341(f341(f251(x78601),x78602),x78603)),f341(f341(f251(x78601),x78602),x78604))) % 197.39/197.44 [7861]~P121(x78611)+~P1(f341(f341(f241(x78611),f89(x78611)),x78612))+~P1(f341(f341(f241(a881),x78613),x78614))+P1(f341(f341(f241(x78611),f341(f341(f251(x78611),x78612),x78613)),f341(f341(f251(x78611),x78612),x78614))) % 197.39/197.44 [7887]P1(f341(f341(f242(a881),f2(a881)),f341(x78871,x78872)))+~P1(f341(f72(x78873),x78874))+~P1(f341(f341(f344(x78873),x78872),x78874))+~P1(f341(f341(f242(a881),f2(a881)),f341(f341(f11(x78873,a881),x78871),x78874))) % 197.39/197.44 [7897]~P115(x78971)+~P1(f341(f341(f242(x78971),x78973),x78974))+~P1(f341(f341(f242(x78971),f2(x78971)),x78972))+P1(f341(f341(f242(x78971),f341(f341(f92(x78971),x78972),x78973)),f341(f341(f92(x78971),x78972),x78974))) % 197.39/197.44 [7898]~P129(x78981)+~P1(f341(f341(f242(x78981),x78983),x78984))+~P1(f341(f341(f242(x78981),f2(x78981)),x78982))+P1(f341(f341(f242(x78981),f341(f341(f92(x78981),x78982),x78983)),f341(f341(f92(x78981),x78982),x78984))) % 197.39/197.44 [7899]~P122(x78991)+~P1(f341(f341(f242(x78991),x78992),x78994))+~P1(f341(f341(f242(x78991),f2(x78991)),x78993))+P1(f341(f341(f242(x78991),f341(f341(f92(x78991),x78992),x78993)),f341(f341(f92(x78991),x78994),x78993))) % 197.39/197.44 [7900]~P129(x79001)+~P1(f341(f341(f242(x79001),x79002),x79004))+~P1(f341(f341(f242(x79001),f2(x79001)),x79003))+P1(f341(f341(f242(x79001),f341(f341(f92(x79001),x79002),x79003)),f341(f341(f92(x79001),x79004),x79003))) % 197.39/197.44 [7901]~P122(x79011)+~P1(f341(f341(f242(x79011),x79013),x79014))+~P1(f341(f341(f242(x79011),f2(x79011)),x79012))+P1(f341(f341(f242(x79011),f341(f341(f92(x79011),x79012),x79013)),f341(f341(f92(x79011),x79012),x79014))) % 197.39/197.44 [7902]~P66(x79021)+~P1(f341(f341(f242(x79021),x79022),x79024))+~P1(f341(f341(f242(x79021),f2(x79021)),x79023))+P1(f341(f341(f242(x79021),f341(f341(f298(x79021),x79022),x79023)),f341(f341(f298(x79021),x79024),x79023))) % 197.39/197.44 [7903]~P133(x79031)+~P1(f341(f341(f241(x79031),x79033),x79034))+~P1(f341(f341(f241(x79031),f2(x79031)),x79032))+P1(f341(f341(f241(x79031),f341(f341(f92(x79031),x79032),x79033)),f341(f341(f92(x79031),x79032),x79034))) % 197.39/197.44 [7904]~P132(x79041)+~P1(f341(f341(f241(x79041),x79043),x79044))+~P1(f341(f341(f241(x79041),f2(x79041)),x79042))+P1(f341(f341(f241(x79041),f341(f341(f92(x79041),x79042),x79043)),f341(f341(f92(x79041),x79042),x79044))) % 197.39/197.44 [7905]~P122(x79051)+~P1(f341(f341(f242(x79051),f2(x79051)),x79052))+~P1(f341(f341(f241(x79051),x79053),x79054))+P1(f341(f341(f241(x79051),f341(f341(f92(x79051),x79052),x79053)),f341(f341(f92(x79051),x79052),x79054))) % 197.39/197.44 [7906]~P133(x79061)+~P1(f341(f341(f241(x79061),x79062),x79064))+~P1(f341(f341(f241(x79061),f2(x79061)),x79063))+P1(f341(f341(f241(x79061),f341(f341(f92(x79061),x79062),x79063)),f341(f341(f92(x79061),x79064),x79063))) % 197.39/197.44 [7907]~P121(x79071)+~P1(f341(f341(f241(x79071),x79072),x79074))+~P1(f341(f341(f241(x79071),f2(x79071)),x79072))+P1(f341(f341(f241(x79071),f341(f341(f251(x79071),x79072),x79073)),f341(f341(f251(x79071),x79074),x79073))) % 197.39/197.44 [7908]~P65(x79081)+~P1(f341(f341(f241(x79081),x79082),x79084))+~P1(f341(f341(f241(x79081),f2(x79081)),x79083))+P1(f341(f341(f241(x79081),f341(f341(f298(x79081),x79082),x79083)),f341(f341(f298(x79081),x79084),x79083))) % 197.39/197.44 [7949]~P106(x79492)+P1(f341(f341(f241(f889(x79491,x79492)),x79494),x79493))+~P1(f341(f341(f241(f889(x79491,x79492)),x79493),x79494))+P1(f341(f341(f242(f889(x79491,x79492)),x79493),x79494)) % 197.39/197.44 [7992]P1(f341(f341(f344(x79921),x79922),x79923))+P1(f341(f341(f344(x79921),x79922),x79924))+~P1(f341(f341(f241(f889(x79921,a874)),x79924),x79923))+P1(f341(f341(f242(f889(x79921,a874)),x79924),f341(f341(f318(x79921),x79922),x79923))) % 197.39/197.44 [8107]~P116(x81072)+E(x81071,f2(x81072))+P1(f341(f341(f294(x81072),x81073),x81074))+~P1(f341(f341(f294(x81072),f341(f341(f92(x81072),x81073),x81071)),f341(f341(f92(x81072),x81074),x81071))) % 197.39/197.44 [8108]~P116(x81082)+E(x81081,f2(x81082))+P1(f341(f341(f294(x81082),x81083),x81084))+~P1(f341(f341(f294(x81082),f341(f341(f92(x81082),x81081),x81083)),f341(f341(f92(x81082),x81081),x81084))) % 197.39/197.44 [8157]P1(f341(f341(f344(x81571),x81572),x81573))+P1(f341(f341(f344(x81571),x81572),x81574))+~P1(f341(f341(f242(f889(x81571,a874)),x81574),f341(f341(f318(x81571),x81572),x81573)))+P1(f341(f341(f241(f889(x81571,a874)),x81574),x81573)) % 197.39/197.44 [8229]~P122(x82291)+P1(f341(f341(f242(x82291),x82293),x82292))+P1(f341(f341(f242(x82291),x82292),x82293))+~P1(f341(f341(f242(x82291),f341(f341(f92(x82291),x82294),x82292)),f341(f341(f92(x82291),x82294),x82293))) % 197.39/197.44 [8230]~P122(x82301)+P1(f341(f341(f242(x82301),x82303),x82302))+P1(f341(f341(f242(x82301),x82302),x82303))+~P1(f341(f341(f242(x82301),f341(f341(f92(x82301),x82302),x82304)),f341(f341(f92(x82301),x82303),x82304))) % 197.39/197.44 [8239]~P122(x82391)+P1(f341(f341(f242(x82391),x82394),f2(x82391)))+P1(f341(f341(f242(x82391),x82392),x82393))+~P1(f341(f341(f242(x82391),f341(f341(f92(x82391),x82392),x82394)),f341(f341(f92(x82391),x82393),x82394))) % 197.39/197.44 [8240]~P122(x82401)+P1(f341(f341(f242(x82401),x82404),f2(x82401)))+P1(f341(f341(f242(x82401),x82402),x82403))+~P1(f341(f341(f242(x82401),f341(f341(f92(x82401),x82404),x82402)),f341(f341(f92(x82401),x82404),x82403))) % 197.39/197.44 [8242]~P122(x82421)+P1(f341(f341(f242(x82421),x82422),x82423))+P1(f341(f341(f242(x82421),f2(x82421)),x82424))+~P1(f341(f341(f242(x82421),f341(f341(f92(x82421),x82424),x82423)),f341(f341(f92(x82421),x82424),x82422))) % 197.39/197.44 [8243]~P122(x82431)+P1(f341(f341(f242(x82431),x82432),x82433))+P1(f341(f341(f242(x82431),f2(x82431)),x82434))+~P1(f341(f341(f242(x82431),f341(f341(f92(x82431),x82433),x82434)),f341(f341(f92(x82431),x82432),x82434))) % 197.39/197.44 [8252]~P122(x82521)+P1(f341(f341(f242(x82521),x82522),f2(x82521)))+P1(f341(f341(f242(x82521),f2(x82521)),x82522))+~P1(f341(f341(f242(x82521),f341(f341(f92(x82521),x82523),x82522)),f341(f341(f92(x82521),x82524),x82522))) % 197.39/197.44 [8253]~P122(x82531)+P1(f341(f341(f242(x82531),x82532),f2(x82531)))+P1(f341(f341(f242(x82531),f2(x82531)),x82532))+~P1(f341(f341(f242(x82531),f341(f341(f92(x82531),x82532),x82533)),f341(f341(f92(x82531),x82532),x82534))) % 197.39/197.44 [8280]~P122(x82801)+~P1(f341(f341(f242(x82801),x82804),f2(x82801)))+P1(f341(f341(f242(x82801),x82802),x82803))+~P1(f341(f341(f242(x82801),f341(f341(f92(x82801),x82804),x82803)),f341(f341(f92(x82801),x82804),x82802))) % 197.39/197.44 [8281]~P122(x82811)+~P1(f341(f341(f242(x82811),x82814),f2(x82811)))+P1(f341(f341(f241(x82811),x82812),x82813))+~P1(f341(f341(f241(x82811),f341(f341(f92(x82811),x82814),x82813)),f341(f341(f92(x82811),x82814),x82812))) % 197.39/197.44 [8293]~P121(x82933)+~P1(f341(f341(f242(x82933),f89(x82933)),x82934))+P1(f341(f341(f242(a881),x82931),x82932))+~P1(f341(f341(f242(x82933),f341(f341(f251(x82933),x82934),x82931)),f341(f341(f251(x82933),x82934),x82932))) % 197.39/197.44 [8295]~P121(x82953)+~P1(f341(f341(f242(x82953),f89(x82953)),x82954))+P1(f341(f341(f241(a881),x82951),x82952))+~P1(f341(f341(f241(x82953),f341(f341(f251(x82953),x82954),x82951)),f341(f341(f251(x82953),x82954),x82952))) % 197.39/197.44 [8305]~P122(x83051)+P1(f341(f341(f242(x83051),x83052),x83053))+~P1(f341(f341(f242(x83051),f2(x83051)),x83054))+~P1(f341(f341(f242(x83051),f341(f341(f92(x83051),x83054),x83052)),f341(f341(f92(x83051),x83054),x83053))) % 197.39/197.44 [8306]~P129(x83061)+P1(f341(f341(f242(x83061),x83062),x83063))+~P1(f341(f341(f241(x83061),f2(x83061)),x83064))+~P1(f341(f341(f242(x83061),f341(f341(f92(x83061),x83064),x83062)),f341(f341(f92(x83061),x83064),x83063))) % 197.39/197.44 [8307]~P125(x83071)+P1(f341(f341(f242(x83071),x83072),x83073))+~P1(f341(f341(f241(x83071),f2(x83071)),x83074))+~P1(f341(f341(f242(x83071),f341(f341(f92(x83071),x83074),x83072)),f341(f341(f92(x83071),x83074),x83073))) % 197.39/197.44 [8308]~P121(x83081)+~P1(f341(f341(f241(x83081),f2(x83081)),x83083))+P1(f341(f341(f242(x83081),x83082),x83083))+~P1(f341(f341(f242(x83081),f341(f341(f251(x83081),x83082),x83084)),f341(f341(f251(x83081),x83083),x83084))) % 197.39/197.44 [8309]~P129(x83091)+P1(f341(f341(f242(x83091),x83092),x83093))+~P1(f341(f341(f241(x83091),f2(x83091)),x83094))+~P1(f341(f341(f242(x83091),f341(f341(f92(x83091),x83092),x83094)),f341(f341(f92(x83091),x83093),x83094))) % 197.39/197.44 [8310]~P125(x83101)+P1(f341(f341(f242(x83101),x83102),x83103))+~P1(f341(f341(f241(x83101),f2(x83101)),x83104))+~P1(f341(f341(f242(x83101),f341(f341(f92(x83101),x83102),x83104)),f341(f341(f92(x83101),x83103),x83104))) % 197.39/197.44 [8311]~P122(x83111)+P1(f341(f341(f241(x83111),x83112),x83113))+~P1(f341(f341(f242(x83111),f2(x83111)),x83114))+~P1(f341(f341(f241(x83111),f341(f341(f92(x83111),x83114),x83112)),f341(f341(f92(x83111),x83114),x83113))) % 197.39/197.44 [8312]~P129(x83121)+P1(f341(f341(f241(x83121),x83122),x83123))+~P1(f341(f341(f242(x83121),f2(x83121)),x83124))+~P1(f341(f341(f241(x83121),f341(f341(f92(x83121),x83124),x83122)),f341(f341(f92(x83121),x83124),x83123))) % 197.39/197.44 [8313]~P129(x83131)+P1(f341(f341(f241(x83131),x83132),x83133))+~P1(f341(f341(f242(x83131),f2(x83131)),x83134))+~P1(f341(f341(f241(x83131),f341(f341(f92(x83131),x83132),x83134)),f341(f341(f92(x83131),x83133),x83134))) % 197.39/197.44 [8353]P1(f341(f341(f344(x83531),x83532),x83533))+~P1(f341(f341(f241(f889(x83531,a874)),x83533),x83534))+~P1(f341(f341(f242(f889(x83531,a874)),x83533),x83534))+P1(f341(f341(f242(f889(x83531,a874)),x83533),f341(f341(f318(x83531),x83532),x83534))) % 197.39/197.44 [8384]~P139(x83841)+~P117(x83841)+P1(f341(f341(f294(x83841),x83842),f341(f341(f91(x83841),f420(x83842,x83843,x83841)),f2(x83841))))+~P1(f341(x83843,f341(f341(f92(x83841),x83842),x83844))) % 197.39/197.44 [8739]E(f341(f341(f3(a1),f572(x87391,x87392,x87393,x87394)),f573(x87391,x87392,x87393,x87394)),x87394)+~P1(f341(f341(f242(a1),f2(a1)),x87393))+~P1(f341(f341(f241(a1),x87391),x87394))+P1(f341(f341(f241(a1),x87391),f341(f341(f91(a1),x87394),x87393))) % 197.39/197.44 [8740]E(f341(f341(f3(a1),f581(x87401,x87402,x87403,x87404)),f582(x87401,x87402,x87403,x87404)),x87404)+~P1(f341(f341(f242(a1),f2(a1)),x87403))+~P1(f341(f341(f242(a1),x87401),x87404))+P1(f341(f341(f242(a1),x87401),f341(f341(f91(a1),x87404),x87403))) % 197.39/197.44 [8896]~E(f341(f341(f169(x88961),x88963),f531(x88964,x88963,x88961,x88962)),f341(f341(f169(x88961),x88964),f531(x88964,x88963,x88961,x88962)))+E(f341(f341(f177(x88961),x88962),x88963),f341(f341(f177(x88961),x88962),x88964))+~P1(f341(f341(f241(a881),x88962),f341(f194(f883(x88961)),x88963)))+~P1(f341(f341(f241(a881),x88962),f341(f194(f883(x88961)),x88964))) % 197.39/197.44 [8952]~P1(f341(f341(f242(a1),f2(a1)),x89523))+~P1(f341(f341(f241(a1),x89521),x89524))+P1(f341(f341(f344(a1),f572(x89521,x89522,x89523,x89524)),x89522))+P1(f341(f341(f241(a1),x89521),f341(f341(f91(a1),x89524),x89523))) % 197.39/197.44 [8953]~P1(f341(f341(f242(a1),f2(a1)),x89533))+~P1(f341(f341(f242(a1),x89531),x89534))+P1(f341(f341(f344(a1),f581(x89531,x89532,x89533,x89534)),x89532))+P1(f341(f341(f242(a1),x89531),f341(f341(f91(a1),x89534),x89533))) % 197.39/197.44 [9006]~P11(x90062,x90063,x90064)+~P1(f341(f72(x90062),x90063))+P1(f341(f341(f294(a881),x90061),f341(f37(x90062),x90063)))+P1(f341(f341(f344(f889(x90062,a874)),f616(x90061,x90064,x90063,x90062)),f341(f341(f71(x90062),x90063),x90064))) % 197.39/197.44 [9040]E(f341(f341(f177(x90401),x90402),x90403),f341(f341(f177(x90401),x90402),x90404))+P1(f341(f341(f242(a881),f531(x90403,x90404,x90401,x90402)),x90402))+~P1(f341(f341(f241(a881),x90402),f341(f194(f883(x90401)),x90403)))+~P1(f341(f341(f241(a881),x90402),f341(f194(f883(x90401)),x90404))) % 197.39/197.44 [9045]~P1(f341(f341(f242(a1),f2(a1)),x90453))+~P1(f341(f341(f242(a1),x90451),x90452))+P1(f341(f341(f344(a1),f582(x90451,x90454,x90453,x90452)),f310(a1,f89(a1),x90453)))+P1(f341(f341(f242(a1),x90451),f341(f341(f91(a1),x90452),x90453))) % 197.39/197.44 [9046]~P1(f341(f341(f242(a1),f2(a1)),x90463))+~P1(f341(f341(f241(a1),x90461),x90462))+P1(f341(f341(f344(a1),f573(x90461,x90464,x90463,x90462)),f310(a1,f89(a1),x90463)))+P1(f341(f341(f241(a1),x90461),f341(f341(f91(a1),x90462),x90463))) % 197.39/197.44 [9489]~P1(f341(f341(f242(a1),f2(a1)),x94893))+~P1(f341(f341(f241(a1),f2(a1)),x94894))+~P1(f341(f341(f242(a1),x94894),x94891))+P1(f341(f341(f242(a1),f341(f341(f91(a1),f341(f341(f92(a1),x94891),f57(a1,x94892,x94893))),x94894)),f341(f341(f92(a1),x94891),x94893))) % 197.39/197.44 [9857]E(x98571,x98572)+P1(f341(f341(f344(f888(f883(x98573),f883(x98573))),f341(f341(f257(f883(x98573),f883(x98573)),x98572),x98571)),f152(x98573,x98574)))+P1(f341(f341(f344(f888(f883(x98573),f883(x98573))),f341(f341(f257(f883(x98573),f883(x98573)),x98571),x98572)),f152(x98573,x98574)))+~P1(f341(f341(f344(f888(x98573,x98573)),f341(f341(f257(x98573,x98573),f504(x98571,x98572,x98574,x98573)),f505(x98571,x98572,x98574,x98573))),x98574)) % 197.39/197.44 [9858]E(x98581,x98582)+P1(f341(f341(f344(f888(f883(x98583),f883(x98583))),f341(f341(f257(f883(x98583),f883(x98583)),x98582),x98581)),f152(x98583,x98584)))+P1(f341(f341(f344(f888(f883(x98583),f883(x98583))),f341(f341(f257(f883(x98583),f883(x98583)),x98581),x98582)),f152(x98583,x98584)))+~P1(f341(f341(f344(f888(x98583,x98583)),f341(f341(f257(x98583,x98583),f505(x98581,x98582,x98584,x98583)),f504(x98581,x98582,x98584,x98583))),x98584)) % 197.39/197.44 [7440]~P101(x74401)+~P1(f341(f341(f242(x74401),x74403),x74404))+~P1(f341(f341(f242(x74401),x74402),x74404))+P1(f341(f341(f242(x74401),f341(f341(f192(x74401),x74402),x74403)),x74404)) % 197.39/197.44 [7443]~P101(x74431)+~P1(f341(f341(f241(x74431),x74433),x74434))+~P1(f341(f341(f241(x74431),x74432),x74434))+P1(f341(f341(f241(x74431),f341(f341(f192(x74431),x74432),x74433)),x74434)) % 197.39/197.44 [7446]~P94(x74461)+~P1(f341(f341(f241(x74461),x74463),x74464))+~P1(f341(f341(f241(x74461),x74462),x74464))+P1(f341(f341(f241(x74461),f341(f341(f125(x74461),x74462),x74463)),x74464)) % 197.39/197.44 [7686]~P59(x76861)+E(f341(f341(f91(x76861),f341(f341(f38(x76861),x76862),x76863)),f341(f341(f38(x76861),x76864),x76863)),f341(f341(f38(x76861),f341(f341(f91(x76861),x76862),x76864)),x76863))+~P1(f341(f341(f294(x76861),x76863),x76864))+~P1(f341(f341(f294(x76861),x76863),x76862)) % 197.39/197.44 [7766]~E(x77661,x77663)+E(f144(a881,f341(f309(a881,x77661),x77662)),f341(f341(f156(a881),x77663),x77664))+~E(f144(a881,f341(f309(a881,f341(f341(f91(a881),x77661),f89(a881))),x77662)),x77664)+~P1(f341(f341(f242(a881),x77661),x77662)) % 197.39/197.44 [7775]~P101(x77751)+P1(f341(f341(f242(x77751),x77752),x77753))+P1(f341(f341(f242(x77751),x77754),x77753))+~P1(f341(f341(f242(x77751),f341(f341(f246(x77751),x77754),x77752)),x77753)) % 197.39/197.44 [7776]~P101(x77761)+P1(f341(f341(f241(x77761),x77762),x77763))+P1(f341(f341(f241(x77761),x77764),x77763))+~P1(f341(f341(f241(x77761),f341(f341(f246(x77761),x77764),x77762)),x77763)) % 197.39/197.44 [8054]~P65(x80541)+~P1(f341(f341(f242(x80541),f2(x80541)),x80543))+~P1(f341(f341(f242(x80541),x80542),f341(f341(f298(x80541),x80544),x80543)))+P1(f341(f341(f242(x80541),f341(f341(f92(x80541),x80542),x80543)),x80544)) % 197.39/197.44 [8055]~P66(x80551)+~P1(f341(f341(f242(x80551),f2(x80551)),x80553))+~P1(f341(f341(f242(x80551),x80552),f341(f341(f298(x80551),x80554),x80553)))+P1(f341(f341(f242(x80551),f341(f341(f92(x80551),x80552),x80553)),x80554)) % 197.39/197.44 [8056]~P65(x80561)+~P1(f341(f341(f242(x80561),f2(x80561)),x80563))+~P1(f341(f341(f242(x80561),x80562),f341(f341(f92(x80561),x80564),x80563)))+P1(f341(f341(f242(x80561),f341(f341(f298(x80561),x80562),x80563)),x80564)) % 197.39/197.44 [8058]~P66(x80581)+~P1(f341(f341(f242(x80581),f2(x80581)),x80583))+~P1(f341(f341(f242(x80581),x80582),f341(f341(f92(x80581),x80584),x80583)))+P1(f341(f341(f242(x80581),f341(f341(f298(x80581),x80582),x80583)),x80584)) % 197.39/197.44 [8059]~P65(x80591)+~P1(f341(f341(f242(x80591),f2(x80591)),x80593))+~P1(f341(f341(f241(x80591),x80592),f341(f341(f298(x80591),x80594),x80593)))+P1(f341(f341(f241(x80591),f341(f341(f92(x80591),x80592),x80593)),x80594)) % 197.39/197.44 [8060]~P66(x80601)+~P1(f341(f341(f242(x80601),f2(x80601)),x80603))+~P1(f341(f341(f241(x80601),x80602),f341(f341(f298(x80601),x80604),x80603)))+P1(f341(f341(f241(x80601),f341(f341(f92(x80601),x80602),x80603)),x80604)) % 197.39/197.44 [8061]~P65(x80611)+~P1(f341(f341(f242(x80611),f2(x80611)),x80613))+~P1(f341(f341(f241(x80611),x80612),f341(f341(f92(x80611),x80614),x80613)))+P1(f341(f341(f241(x80611),f341(f341(f298(x80611),x80612),x80613)),x80614)) % 197.39/197.44 [8063]~P66(x80631)+~P1(f341(f341(f242(x80631),f2(x80631)),x80633))+~P1(f341(f341(f241(x80631),x80632),f341(f341(f92(x80631),x80634),x80633)))+P1(f341(f341(f241(x80631),f341(f341(f298(x80631),x80632),x80633)),x80634)) % 197.39/197.44 [8197]~P65(x81971)+~P1(f341(f341(f242(x81971),f2(x81971)),x81974))+P1(f341(f341(f242(x81971),x81972),f341(f341(f92(x81971),x81973),x81974)))+~P1(f341(f341(f242(x81971),f341(f341(f298(x81971),x81972),x81974)),x81973)) % 197.39/197.44 [8198]~P65(x81981)+~P1(f341(f341(f242(x81981),f2(x81981)),x81984))+P1(f341(f341(f242(x81981),x81982),f341(f341(f298(x81981),x81983),x81984)))+~P1(f341(f341(f242(x81981),f341(f341(f92(x81981),x81982),x81984)),x81983)) % 197.39/197.44 [8200]~P66(x82001)+~P1(f341(f341(f242(x82001),f2(x82001)),x82004))+P1(f341(f341(f242(x82001),x82002),f341(f341(f92(x82001),x82003),x82004)))+~P1(f341(f341(f242(x82001),f341(f341(f298(x82001),x82002),x82004)),x82003)) % 197.39/197.44 [8201]~P66(x82011)+~P1(f341(f341(f242(x82011),f2(x82011)),x82014))+P1(f341(f341(f242(x82011),x82012),f341(f341(f298(x82011),x82013),x82014)))+~P1(f341(f341(f242(x82011),f341(f341(f92(x82011),x82012),x82014)),x82013)) % 197.39/197.44 [8202]~P65(x82021)+~P1(f341(f341(f242(x82021),f2(x82021)),x82024))+P1(f341(f341(f241(x82021),x82022),f341(f341(f92(x82021),x82023),x82024)))+~P1(f341(f341(f241(x82021),f341(f341(f298(x82021),x82022),x82024)),x82023)) % 197.39/197.44 [8203]~P65(x82031)+~P1(f341(f341(f242(x82031),f2(x82031)),x82034))+P1(f341(f341(f241(x82031),x82032),f341(f341(f298(x82031),x82033),x82034)))+~P1(f341(f341(f241(x82031),f341(f341(f92(x82031),x82032),x82034)),x82033)) % 197.39/197.44 [8205]~P66(x82051)+~P1(f341(f341(f242(x82051),f2(x82051)),x82054))+P1(f341(f341(f241(x82051),x82052),f341(f341(f92(x82051),x82053),x82054)))+~P1(f341(f341(f241(x82051),f341(f341(f298(x82051),x82052),x82054)),x82053)) % 197.39/197.44 [8206]~P66(x82061)+~P1(f341(f341(f242(x82061),f2(x82061)),x82064))+P1(f341(f341(f241(x82061),x82062),f341(f341(f298(x82061),x82063),x82064)))+~P1(f341(f341(f241(x82061),f341(f341(f92(x82061),x82062),x82064)),x82063)) % 197.39/197.44 [8357]~P66(x83571)+~P1(f341(f341(f242(x83571),x83573),f2(x83571)))+~P1(f341(f341(f242(x83571),f341(f341(f298(x83571),x83574),x83573)),x83572))+P1(f341(f341(f242(x83571),f341(f341(f92(x83571),x83572),x83573)),x83574)) % 197.39/197.44 [8358]~P66(x83581)+~P1(f341(f341(f242(x83581),x83583),f2(x83581)))+~P1(f341(f341(f242(x83581),f341(f341(f92(x83581),x83584),x83583)),x83582))+P1(f341(f341(f242(x83581),f341(f341(f298(x83581),x83582),x83583)),x83584)) % 197.39/197.44 [8359]~P66(x83591)+~P1(f341(f341(f242(x83591),x83593),f2(x83591)))+~P1(f341(f341(f241(x83591),f341(f341(f298(x83591),x83594),x83593)),x83592))+P1(f341(f341(f241(x83591),f341(f341(f92(x83591),x83592),x83593)),x83594)) % 197.39/197.44 [8360]~P66(x83601)+~P1(f341(f341(f242(x83601),x83603),f2(x83601)))+~P1(f341(f341(f241(x83601),f341(f341(f92(x83601),x83604),x83603)),x83602))+P1(f341(f341(f241(x83601),f341(f341(f298(x83601),x83602),x83603)),x83604)) % 197.39/197.44 [8371]~P1(f341(x83711,x83714))+~P1(f341(f341(f242(a881),x83712),f341(f341(f92(a881),x83713),f341(a128,x83714))))+P1(f341(x83711,f341(f341(f38(a881),x83712),x83713)))+~P1(f341(f341(f241(a881),f341(f341(f92(a881),x83713),x83714)),x83712)) % 197.39/197.44 [8741]~P1(f341(f72(x87411),x87412))+E(f341(f37(x87411),f341(f341(f3(f889(x87411,a874)),x87412),f341(f341(f318(x87411),x87413),x87414))),f341(f341(f3(a881),f341(f37(x87411),f341(f341(f3(f889(x87411,a874)),x87412),x87414))),f89(a881)))+P1(f341(f341(f344(x87411),x87413),x87414))+~P1(f341(f341(f344(x87411),x87413),x87412)) % 197.39/197.44 [8819]E(f341(f341(f91(a1),f574(x88191,x88192,x88193,x88194)),f575(x88191,x88192,x88193,x88194)),x88194)+~P1(f341(f341(f242(a1),f2(a1)),x88193))+~P1(f341(f341(f241(a1),x88194),x88191))+P1(f341(f341(f241(a1),f341(f341(f3(a1),x88194),x88193)),x88191)) % 197.39/197.44 [8820]E(f341(f341(f91(a1),f583(x88201,x88202,x88203,x88204)),f584(x88201,x88202,x88203,x88204)),x88204)+~P1(f341(f341(f242(a1),f2(a1)),x88203))+~P1(f341(f341(f242(a1),x88204),x88201))+P1(f341(f341(f242(a1),f341(f341(f3(a1),x88204),x88203)),x88201)) % 197.39/197.44 [9028]~P1(f341(f341(f242(a1),f2(a1)),x90283))+~P1(f341(f341(f241(a1),x90284),x90281))+P1(f341(f341(f344(a1),f574(x90281,x90282,x90283,x90284)),x90282))+P1(f341(f341(f241(a1),f341(f341(f3(a1),x90284),x90283)),x90281)) % 197.39/197.44 [9029]~P1(f341(f341(f242(a1),f2(a1)),x90293))+~P1(f341(f341(f242(a1),x90294),x90291))+P1(f341(f341(f344(a1),f583(x90291,x90292,x90293,x90294)),x90292))+P1(f341(f341(f242(a1),f341(f341(f3(a1),x90294),x90293)),x90291)) % 197.39/197.44 [9105]~P1(f341(f341(f242(a1),f2(a1)),x91052))+~P1(f341(f341(f242(a1),x91051),x91053))+P1(f341(f341(f344(a1),f584(x91053,x91054,x91052,x91051)),f310(a1,f89(a1),x91052)))+P1(f341(f341(f242(a1),f341(f341(f3(a1),x91051),x91052)),x91053)) % 197.39/197.44 [9106]~P1(f341(f341(f242(a1),f2(a1)),x91062))+~P1(f341(f341(f241(a1),x91061),x91063))+P1(f341(f341(f344(a1),f575(x91063,x91064,x91062,x91061)),f310(a1,f89(a1),x91062)))+P1(f341(f341(f241(a1),f341(f341(f3(a1),x91061),x91062)),x91063)) % 197.39/197.44 [9122]~P1(f341(f341(f242(a1),f2(a1)),x91223))+~P1(f341(f341(f241(a1),f2(a1)),x91224))+~P1(f341(f341(f242(a1),x91224),x91221))+P1(f341(f341(f241(a1),f2(a1)),f341(f341(f91(a1),f341(f341(f92(a1),x91221),f57(a1,x91222,x91223))),x91224))) % 197.39/197.44 [9204]~P1(f341(f341(f241(a1),x92044),f2(a1)))+~P1(f341(f341(f242(a1),f2(a1)),x92042))+~P1(f341(f341(f242(a1),x92041),x92044))+P1(f341(f341(f242(a1),f341(f341(f92(a1),x92041),x92042)),f341(f341(f91(a1),f341(f341(f92(a1),x92041),f57(a1,x92043,x92042))),x92044))) % 197.39/197.44 [9230]P1(f341(f72(x92301),x92302))+~P1(f341(f72(x92301),x92303))+~P1(f341(f341(f344(f889(x92301,a874)),x92302),f341(f341(f71(x92301),x92303),x92304)))+~P1(f341(f341(f241(f889(f888(x92301,x92301),a874)),x92304),f341(f341(f259(x92301,x92301),x92303),f341(f18(f889(x92301,a874),x92301),x92303)))) % 197.39/197.44 [9273]~P35(f889(x92731,a874),f889(x92731,a874),x92733)+~P1(f341(f341(f344(x92731),x92732),x92734))+P1(f341(f341(f344(x92731),x92732),f113(f889(x92731,a874),x92733)))+~P1(f341(f341(f241(f889(x92731,a874)),x92734),f341(x92733,f341(f341(f125(f889(x92731,a874)),x92734),f113(f889(x92731,a874),x92733))))) % 197.39/197.44 [9435]~P35(f889(x94353,a874),f889(x94353,a874),x94354)+P1(f341(x94351,x94352))+~P1(f341(f341(f344(x94353),x94352),f112(f889(x94353,a874),x94354)))+P1(f341(f341(f344(x94353),f485(x94351,x94354,x94352,x94353)),f341(x94354,f341(f341(f126(f889(x94353,a874)),f112(f889(x94353,a874),x94354)),f341(f267(x94353),x94351))))) % 197.39/197.44 [9643]~P1(f341(f72(x96432),x96434))+~P1(f341(f72(x96431),x96433))+~P1(f341(f341(f241(a881),f341(f37(x96432),x96434)),f341(f37(x96431),x96433)))+P1(f341(f341(f241(f889(x96431,a874)),f341(f341(f317(x96432,x96431),f692(x96433,x96431,x96434,x96432)),x96434)),x96433)) % 197.39/197.44 [9303]~P1(f341(f341(f344(x93031),x93032),x93034))+P1(f341(f341(f344(x93031),x93032),x93033))+~P1(f341(f341(f242(f889(x93031,a874)),x93034),f341(f341(f318(x93031),x93032),x93033)))+P1(f341(f341(f242(f889(x93031,a874)),f341(f341(f3(f889(x93031,a874)),x93034),f341(f341(f318(x93031),x93032),f193(f889(x93031,a874))))),x93033)) % 197.39/197.44 [9466]~P1(f341(f341(f344(x94661),x94662),x94664))+P1(f341(f341(f344(x94661),x94662),x94663))+P1(f341(f341(f242(f889(x94661,a874)),x94664),f341(f341(f318(x94661),x94662),x94663)))+~P1(f341(f341(f242(f889(x94661,a874)),f341(f341(f3(f889(x94661,a874)),x94664),f341(f341(f318(x94661),x94662),f193(f889(x94661,a874))))),x94663)) % 197.39/197.44 [9493]P1(f341(f341(f344(x94931),x94932),x94933))+~P1(f341(f341(f241(f889(x94931,a874)),x94934),x94933))+P1(f341(f341(f242(f889(x94931,a874)),x94934),f341(f341(f318(x94931),x94932),x94933)))+~P1(f341(f341(f242(f889(x94931,a874)),f341(f341(f3(f889(x94931,a874)),x94934),f341(f341(f318(x94931),x94932),f193(f889(x94931,a874))))),x94933)) % 197.39/197.44 [9496]~P1(f341(f341(f344(x94961),x94963),x94962))+~P1(f341(f341(f242(f889(x94961,a874)),x94962),x94964))+P1(f341(f341(f242(f889(x94961,a874)),x94962),f341(f341(f318(x94961),x94963),x94964)))+~P1(f341(f341(f242(f889(x94961,a874)),f341(f341(f3(f889(x94961,a874)),x94962),f341(f341(f318(x94961),x94963),f193(f889(x94961,a874))))),x94964)) % 197.39/197.44 [9507]~P1(f341(f341(f241(f889(x95071,a874)),x95072),x95074))+~P1(f341(f341(f242(f889(x95071,a874)),x95072),x95074))+P1(f341(f341(f242(f889(x95071,a874)),x95072),f341(f341(f318(x95071),x95073),x95074)))+~P1(f341(f341(f242(f889(x95071,a874)),f341(f341(f3(f889(x95071,a874)),x95072),f341(f341(f318(x95071),x95073),f193(f889(x95071,a874))))),x95074)) % 197.39/197.44 [10216]~P35(f889(x102161,a874),f889(x102161,a874),x102163)+~P1(f341(f341(f344(x102161),x102162),x102164))+P1(f341(f341(f344(x102161),x102162),f113(f889(x102161,a874),x102163)))+~P1(f341(f341(f241(f889(x102161,a874)),x102164),f341(x102163,f112(f889(x102161,a874),f341(f341(f9(f889(x102161,a874),f889(x102161,a874),f889(x102161,a874)),f341(f341(f10(f889(x102161,a874),f889(f889(x102161,a874),f889(x102161,a874)),f889(x102161,a874)),f125(f889(x102161,a874))),f341(f341(f9(f889(x102161,a874),f889(x102161,a874),f889(x102161,a874)),f341(f341(f10(f889(x102161,a874),f889(f889(x102161,a874),f889(x102161,a874)),f889(x102161,a874)),f125(f889(x102161,a874))),x102163)),x102164))),f113(f889(x102161,a874),x102163)))))) % 197.39/197.44 [9844]E(f341(f341(f169(x98441),f341(f341(f169(f883(x98441)),f182(x98441,x98442)),x98443)),x98444),f341(f341(f169(x98441),f341(f341(f169(f883(x98441)),x98442),x98444)),x98443))+~P1(f341(f341(f242(a881),x98443),f341(f194(f883(f883(x98441))),f182(x98441,x98442))))+~P16(a881,f341(f173(a881),f341(f341(f159(f883(x98441),a881),f194(f883(x98441))),x98442)))+~P1(f341(f341(f242(a881),x98444),f341(f194(f883(f883(x98441))),f341(f141(f883(x98441),f341(f341(f10(a881,a874,f883(x98441)),f341(f242(a881),x98443)),f194(f883(x98441)))),x98442)))) % 197.39/197.44 [9866]~P1(f341(f341(f344(f888(a881,a881)),x98664),x98661))+~P1(f341(f341(f344(f888(f888(a881,a881),f888(a881,a881))),f341(f341(f257(f888(a881,a881),f888(a881,a881)),x98664),x98662)),a80))+~P1(f341(f341(f344(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),x98661),x98663)),a81))+P1(f341(f341(f344(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),x98661),f341(f341(f318(f888(a881,a881)),x98662),x98663))),a81)) % 197.39/197.44 [9867]~P1(f341(f341(f344(f888(a881,a881)),x98674),x98671))+~P1(f341(f341(f344(f888(f888(a881,a881),f888(a881,a881))),f341(f341(f257(f888(a881,a881),f888(a881,a881)),x98674),x98672)),a35))+~P1(f341(f341(f344(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),x98671),x98673)),a78))+P1(f341(f341(f344(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),x98671),f341(f341(f318(f888(a881,a881)),x98672),x98673))),a78)) % 197.39/197.44 [9764]~P105(x97642)+~P61(x97641)+~P1(f341(f341(f242(f889(x97641,x97642)),x97643),x97644))+P1(f341(f68(x97641),f341(f341(f10(a874,a874,x97641),a336),f341(f341(f20(x97641,x97642,a874),f341(f341(f10(x97642,f889(x97642,a874),x97641),a338),x97643)),x97644)))) % 197.39/197.44 [9877]~P1(f341(f341(f344(f888(a881,a881)),x98774),x98773))+~P1(f341(f341(f344(f888(f888(a881,a881),f888(a881,a881))),f341(f341(f257(f888(a881,a881),f888(a881,a881)),x98771),x98774)),a80))+~P1(f341(f341(f344(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),x98772),x98773)),a79))+P1(f341(f341(f344(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),f341(f341(f318(f888(a881,a881)),x98771),x98772)),x98773)),a79)) % 197.39/197.44 [9878]~P1(f341(f341(f344(f888(a881,a881)),x98784),x98783))+~P1(f341(f341(f344(f888(f888(a881,a881),f888(a881,a881))),f341(f341(f257(f888(a881,a881),f888(a881,a881)),x98781),x98784)),a35))+~P1(f341(f341(f344(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),x98782),x98783)),a36))+P1(f341(f341(f344(f888(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874))),f341(f341(f257(f889(f888(a881,a881),a874),f889(f888(a881,a881),a874)),f341(f341(f318(f888(a881,a881)),x98781),x98782)),x98783)),a36)) % 197.39/197.44 [6015]~P10(x60154,x60151)+~P1(f341(f341(x60151,x60152),x60155))+P1(f341(f341(x60151,x60152),x60153))+~P1(f341(f341(x60151,x60155),x60153)) % 197.39/197.44 [8722]~P10(x87224,x87223)+~P1(f341(x87221,x87225))+P1(f341(x87222,f445(x87222,x87221,x87223,x87224)))+P1(f341(x87221,f444(x87222,x87221,x87223,x87224))) % 197.39/197.44 [8956]~P10(x89565,x89564)+P1(f341(x89561,x89562))+~P1(f341(x89563,f834(x89561,x89563,x89564,x89565)))+P1(f341(x89563,f832(x89561,x89563,x89564,x89565))) % 197.39/197.44 [8961]~P10(x89614,x89613)+~P1(f341(x89612,x89615))+~P1(f341(x89611,f444(x89611,x89612,x89613,x89614)))+P1(f341(x89611,f445(x89611,x89612,x89613,x89614))) % 197.39/197.44 [9130]~P10(x91305,x91304)+P1(f341(x91301,x91302))+P1(f341(f341(f344(x91305),f834(x91301,x91303,x91304,x91305)),f277(x91305,x91304)))+P1(f341(x91303,f832(x91301,x91303,x91304,x91305))) % 197.39/197.44 [9136]~P10(x91364,x91363)+~P1(f341(x91361,x91365))+P1(f341(f341(f344(x91364),f445(x91362,x91361,x91363,x91364)),f277(x91364,x91363)))+P1(f341(x91361,f444(x91362,x91361,x91363,x91364))) % 197.39/197.44 [9140]~P10(x91403,x91404)+P1(f341(x91401,x91402))+~P1(f341(x91405,f834(x91401,x91405,x91404,x91403)))+~P1(f341(x91401,f832(x91401,x91405,x91404,x91403))) % 197.39/197.44 [9258]~P10(x92583,x92585)+P1(f341(x92581,x92582))+~P1(f341(x92581,f832(x92581,x92584,x92585,x92583)))+P1(f341(f341(f344(x92583),f834(x92581,x92584,x92585,x92583)),f277(x92583,x92585))) % 197.39/197.44 [9267]~P10(x92671,x92674)+~P1(f341(x92673,x92675))+~P1(f341(x92672,f444(x92672,x92673,x92674,x92671)))+P1(f341(f341(f344(x92671),f445(x92672,x92673,x92674,x92671)),f277(x92671,x92674))) % 197.39/197.44 [5269]~P60(x52695)+E(x52691,x52692)+~E(x52693,x52694)+~E(f341(f341(f3(x52695),x52693),x52694),f341(f341(f3(x52695),x52691),x52692)) % 197.39/197.44 [6124]~P21(x61245,x61241,x61243)+E(f341(f341(x61241,x61242),f341(x61243,x61244)),f341(x61243,x61244))+~P1(f341(f72(x61245),x61244))+~P1(f341(f341(f344(x61245),x61242),x61244)) % 197.39/197.44 [6314]~P80(x63141)+~E(f341(f341(f3(x63141),x63144),x63145),f341(f341(f3(x63141),x63142),x63143))+~P1(f341(f341(f242(x63141),x63144),x63145))+P1(f341(f341(f242(x63141),x63142),x63143)) % 197.39/197.44 [6316]~P80(x63161)+~E(f341(f341(f3(x63161),x63164),x63165),f341(f341(f3(x63161),x63162),x63163))+~P1(f341(f341(f241(x63161),x63164),x63165))+P1(f341(f341(f241(x63161),x63162),x63163)) % 197.39/197.44 [7313]~E(x73132,f341(f341(f156(x73131),x73134),x73135))+P1(f341(f341(f344(f883(x73131)),x73132),f166(x73131,x73133)))+~P1(f341(f341(f344(f883(x73131)),x73135),f166(x73131,x73133)))+~P1(f341(f341(f344(x73131),x73134),x73133)) % 197.39/197.44 [7719]~E(f341(f194(f883(x77191)),x77193),f341(f194(f883(x77192)),x77194))+~E(f341(f341(f159(f888(x77191,x77192),x77192),f261(x77191,x77192)),x77195),x77194)+~E(f341(f341(f159(f888(x77191,x77192),x77191),f256(x77191,x77192)),x77195),x77193)+E(f341(f341(f184(x77191,x77192),x77193),x77194),x77195) % 197.39/197.44 [8050]~P105(x80501)+P1(f341(f341(f242(f889(x80501,a874)),f310(x80501,x80502,x80503)),f310(x80501,x80504,x80505)))+~P1(f341(f341(f241(x80501),x80504),x80505))+P1(f341(f341(f241(x80501),x80502),x80503)) % 197.39/197.44 [8150]~P105(x81501)+P1(f341(f341(f241(f889(x81501,a874)),f310(x81501,x81502,x81503)),f310(x81501,x81504,x81505)))+~P1(f341(f341(f241(x81501),x81503),x81505))+~P1(f341(f341(f241(x81501),x81504),x81502)) % 197.39/197.44 [8269]~P101(x82691)+P1(f341(f341(f241(x82691),x82692),x82693))+P1(f341(f341(f241(x82691),x82694),x82693))+~P1(f341(f341(f241(f889(x82691,a874)),f341(f309(x82691,x82693),x82692)),f341(f309(x82691,x82694),x82695))) % 197.39/197.44 [8270]~P101(x82701)+P1(f341(f341(f241(x82701),x82702),x82703))+P1(f341(f341(f241(x82701),x82702),x82704))+~P1(f341(f341(f241(f889(x82701,a874)),f341(f309(x82701,x82703),x82702)),f341(f309(x82701,x82705),x82704))) % 197.39/197.44 [8441]~P101(x84413)+~P100(x84411)+~P35(x84413,x84411,x84412)+P1(f341(f341(f241(x84411),f341(x84412,f341(f341(f246(x84413),x84414),x84415))),f341(f341(f126(x84411),f341(x84412,x84414)),f341(x84412,x84415)))) % 197.39/197.44 [8442]~P100(x84423)+~P100(x84421)+~P35(x84423,x84421,x84422)+P1(f341(f341(f241(x84421),f341(x84422,f341(f341(f126(x84423),x84424),x84425))),f341(f341(f126(x84421),f341(x84422,x84424)),f341(x84422,x84425)))) % 197.39/197.44 [8511]~P105(x85111)+~P1(f341(f341(f242(f889(x85111,a874)),f310(x85111,x85114,x85112)),f310(x85111,x85115,x85113)))+P1(f341(f341(f241(x85111),x85112),x85113))+~P1(f341(f341(f241(x85111),x85114),x85112)) % 197.39/197.44 [8512]~P105(x85121)+~P1(f341(f341(f241(f889(x85121,a874)),f310(x85121,x85124,x85122)),f310(x85121,x85125,x85123)))+P1(f341(f341(f241(x85121),x85122),x85123))+~P1(f341(f341(f241(x85121),x85124),x85122)) % 197.39/197.44 [8513]~P105(x85131)+~P1(f341(f341(f242(f889(x85131,a874)),f310(x85131,x85133,x85134)),f310(x85131,x85132,x85135)))+P1(f341(f341(f241(x85131),x85132),x85133))+~P1(f341(f341(f241(x85131),x85133),x85134)) % 197.39/197.44 [8514]~P105(x85141)+~P1(f341(f341(f241(f889(x85141,a874)),f310(x85141,x85143,x85144)),f310(x85141,x85142,x85145)))+P1(f341(f341(f241(x85141),x85142),x85143))+~P1(f341(f341(f241(x85141),x85143),x85144)) % 197.39/197.44 [9781]~P67(x97811)+~P19(x97811,x97811,f92(x97811),x97812,x97813,x97815)+P19(x97811,x97811,f92(x97811),x97814,f341(f341(f318(x97811),x97812),x97813),f341(f341(f92(x97811),x97814),x97815))+P1(f341(f341(f344(x97811),x97812),x97813)) % 197.39/197.44 [10029]~P1(f341(x100292,x100295))+~P1(f341(f341(f344(x100294),x100295),f277(x100294,x100293)))+P1(f341(x100291,f441(x100291,x100292,x100293,x100294)))+~P1(f341(f341(f276(x100294,x100294,a874,a874,x100293,a338),x100292),x100291)) % 197.39/197.44 [10030]~P1(f341(x100302,x100305))+~P1(f341(f341(f344(x100304),x100305),f277(x100304,x100303)))+P1(f341(x100301,f442(x100302,x100301,x100303,x100304)))+~P1(f341(f341(f276(x100304,x100304,a874,a874,x100303,a338),x100301),x100302)) % 197.39/197.44 [10031]P1(f341(x100311,x100312))+~P1(f341(f341(f344(x100315),x100312),f277(x100315,x100314)))+~P1(f341(x100313,f740(x100311,x100313,x100314,x100315)))+~P1(f341(f341(f276(x100315,x100315,a874,a874,x100314,a338),x100313),x100311)) % 197.39/197.44 [10032]P1(f341(x100321,x100322))+~P1(f341(f341(f344(x100325),x100322),f277(x100325,x100324)))+~P1(f341(x100323,f746(x100323,x100321,x100324,x100325)))+~P1(f341(f341(f276(x100325,x100325,a874,a874,x100324,a338),x100321),x100323)) % 197.39/197.44 [10034]P1(f341(x100341,x100342))+P1(f341(f341(f344(x100343),f746(x100344,x100341,x100345,x100343)),f277(x100343,x100345)))+~P1(f341(f341(f344(x100343),x100342),f277(x100343,x100345)))+~P1(f341(f341(f276(x100343,x100343,a874,a874,x100345,a338),x100341),x100344)) % 197.39/197.44 [10035]P1(f341(x100351,x100352))+P1(f341(f341(f344(x100353),f740(x100351,x100354,x100355,x100353)),f277(x100353,x100355)))+~P1(f341(f341(f344(x100353),x100352),f277(x100353,x100355)))+~P1(f341(f341(f276(x100353,x100353,a874,a874,x100355,a338),x100354),x100351)) % 197.39/197.44 [10036]~P1(f341(x100363,x100365))+~P1(f341(f341(f344(x100361),x100365),f277(x100361,x100364)))+P1(f341(f341(f344(x100361),f441(x100362,x100363,x100364,x100361)),f277(x100361,x100364)))+~P1(f341(f341(f276(x100361,x100361,a874,a874,x100364,a338),x100363),x100362)) % 197.39/197.44 [10037]~P1(f341(x100372,x100375))+~P1(f341(f341(f344(x100371),x100375),f277(x100371,x100374)))+P1(f341(f341(f344(x100371),f442(x100372,x100373,x100374,x100371)),f277(x100371,x100374)))+~P1(f341(f341(f276(x100371,x100371,a874,a874,x100374,a338),x100373),x100372)) % 197.39/197.44 [5964]~P101(x59645)+~P101(x59641)+~P35(x59645,x59641,x59642)+E(f341(f341(f246(x59641),f341(x59642,x59643)),f341(x59642,x59644)),f341(x59642,f341(f341(f246(x59645),x59643),x59644))) % 197.39/197.44 [5965]~P101(x59655)+~P101(x59651)+~P35(x59655,x59651,x59652)+E(f341(f341(f192(x59651),f341(x59652,x59653)),f341(x59652,x59654)),f341(x59652,f341(f341(f192(x59655),x59653),x59654))) % 197.39/197.44 [6014]~P21(x60142,x60145,x60143)+E(x60141,f193(f889(x60142,a874)))+~P1(f341(f72(x60142),x60141))+E(f341(x60143,f341(f341(f318(x60142),x60144),x60141)),f341(f341(x60145,x60144),f341(x60143,x60141))) % 197.39/197.44 [6805]~E(x68051,x68052)+~E(f341(f341(f126(f889(x68053,a874)),x68054),x68055),f193(f889(x68053,a874)))+~P1(f341(f341(f344(x68053),x68052),x68055))+~P1(f341(f341(f344(x68053),x68051),x68054)) % 197.39/197.44 [6962]~P70(x69622)+~P1(f341(f72(x69621),x69625))+E(f341(f341(f8(x69621,x69622),x69623),f341(f341(f318(x69621),x69624),x69625)),f341(f341(f91(x69622),f341(x69623,x69624)),f341(f341(f8(x69621,x69622),x69623),x69625)))+P1(f341(f341(f344(x69621),x69624),x69625)) % 197.39/197.44 [6964]~P72(x69642)+~P1(f341(f72(x69641),x69645))+E(f341(f341(f11(x69641,x69642),x69643),f341(f341(f318(x69641),x69644),x69645)),f341(f341(f92(x69642),f341(x69643,x69644)),f341(f341(f11(x69641,x69642),x69643),x69645)))+P1(f341(f341(f344(x69641),x69644),x69645)) % 197.39/197.44 [7365]~P108(x73651)+~P1(f341(f72(x73654),x73655))+~P1(f341(f341(f344(x73654),x73653),x73655))+P1(f341(f341(f294(x73651),f341(x73652,x73653)),f341(f341(f11(x73654,x73651),x73652),x73655))) % 197.39/197.44 [7456]~P22(x74562,x74565,x74561)+~P1(f341(f72(x74562),x74564))+E(f341(x74561,f341(f341(f318(x74562),x74563),x74564)),x74563)+~E(f341(f341(f3(f889(x74562,a874)),x74564),f341(f341(f318(x74562),x74563),f193(f889(x74562,a874)))),f193(f889(x74562,a874))) % 197.39/197.44 [7770]~P1(f341(x77701,x77703))+~P1(f341(f341(f199(x77702),x77703),x77705))+~P1(f341(f341(f199(f32(x77701,x77702)),x77705),x77704))+P1(f341(f341(f199(f32(x77701,x77702)),x77703),x77704)) % 197.39/197.44 [7787]~P108(x77871)+~P1(f341(f341(f294(x77871),x77872),x77874))+~P1(f341(f341(f241(a881),x77873),x77875))+P1(f341(f341(f294(x77871),f341(f341(f251(x77871),x77872),x77873)),f341(f341(f251(x77871),x77874),x77875))) % 197.39/197.44 [7812]~P59(x78121)+E(f341(f341(f38(x78121),f341(f341(f92(x78121),x78122),x78123)),f341(f341(f92(x78121),x78124),x78125)),f341(f341(f92(x78121),f341(f341(f38(x78121),x78122),x78124)),f341(f341(f38(x78121),x78123),x78125)))+~P1(f341(f341(f294(x78121),x78125),x78123))+~P1(f341(f341(f294(x78121),x78124),x78122)) % 197.39/197.44 [7816]~P82(x78161)+~P1(f341(f341(f242(x78161),x78163),x78165))+~P1(f341(f341(f242(x78161),x78162),x78164))+P1(f341(f341(f242(x78161),f341(f341(f91(x78161),x78162),x78163)),f341(f341(f91(x78161),x78164),x78165))) % 197.39/197.44 [7817]~P82(x78171)+~P1(f341(f341(f241(x78171),x78172),x78174))+~P1(f341(f341(f242(x78171),x78173),x78175))+P1(f341(f341(f242(x78171),f341(f341(f91(x78171),x78172),x78173)),f341(f341(f91(x78171),x78174),x78175))) % 197.39/197.44 [7818]~P82(x78181)+~P1(f341(f341(f241(x78181),x78183),x78185))+~P1(f341(f341(f242(x78181),x78182),x78184))+P1(f341(f341(f242(x78181),f341(f341(f91(x78181),x78182),x78183)),f341(f341(f91(x78181),x78184),x78185))) % 197.39/197.44 [7819]~P79(x78191)+~P1(f341(f341(f241(x78191),x78193),x78195))+~P1(f341(f341(f241(x78191),x78192),x78194))+P1(f341(f341(f241(x78191),f341(f341(f91(x78191),x78192),x78193)),f341(f341(f91(x78191),x78194),x78195))) % 197.39/197.44 [7820]~P101(x78201)+~P1(f341(f341(f241(x78201),x78203),x78205))+~P1(f341(f341(f241(x78201),x78202),x78204))+P1(f341(f341(f241(x78201),f341(f341(f246(x78201),x78202),x78203)),f341(f341(f246(x78201),x78204),x78205))) % 197.39/197.44 [7821]~P101(x78211)+~P1(f341(f341(f241(x78211),x78213),x78215))+~P1(f341(f341(f241(x78211),x78212),x78214))+P1(f341(f341(f241(x78211),f341(f341(f192(x78211),x78212),x78213)),f341(f341(f192(x78211),x78214),x78215))) % 197.39/197.44 [7822]~P94(x78221)+~P1(f341(f341(f241(x78221),x78223),x78225))+~P1(f341(f341(f241(x78221),x78222),x78224))+P1(f341(f341(f241(x78221),f341(f341(f125(x78221),x78222),x78223)),f341(f341(f125(x78221),x78224),x78225))) % 197.39/197.44 [7823]~P100(x78231)+~P1(f341(f341(f241(x78231),x78233),x78235))+~P1(f341(f341(f241(x78231),x78232),x78234))+P1(f341(f341(f241(x78231),f341(f341(f126(x78231),x78232),x78233)),f341(f341(f126(x78231),x78234),x78235))) % 197.39/197.44 [7824]~P108(x78241)+~P1(f341(f341(f294(x78241),x78243),x78245))+~P1(f341(f341(f294(x78241),x78242),x78244))+P1(f341(f341(f294(x78241),f341(f341(f92(x78241),x78242),x78243)),f341(f341(f92(x78241),x78244),x78245))) % 197.39/197.44 [7961]~P140(x79615)+E(x79611,x79612)+E(x79613,x79614)+~E(f341(f341(f91(x79615),f341(f341(f92(x79615),x79613),x79611)),f341(f341(f92(x79615),x79614),x79612)),f341(f341(f91(x79615),f341(f341(f92(x79615),x79613),x79612)),f341(f341(f92(x79615),x79614),x79611))) % 197.39/197.44 [8103]P27(x81031,x81032,x81033)+~P28(x81031,x81034,x81035)+~P27(x81031,x81032,f763(x81035,x81034,x81031,x81032))+~P1(f341(f341(f344(f880(x81031)),x81033),x81035)) % 197.39/197.44 [8172]~P101(x81724)+~P1(f341(f142(x81721),x81723))+P1(f341(f341(f344(x81721),x81722),f341(f176(x81721),x81723)))+P1(f341(f142(x81721),f341(f341(f154(x81721,x81724,x81725),x81722),x81723))) % 197.39/197.44 [8314]~P70(x83141)+E(f341(f341(f91(x83141),f341(f341(f8(a881,x83141),x83142),f341(f309(a881,x83143),x83144))),f341(f341(f8(a881,x83141),x83142),f341(f309(a881,x83144),x83145))),f341(f341(f8(a881,x83141),x83142),f341(f309(a881,x83143),x83145)))+~P1(f341(f341(f241(a881),x83144),x83145))+~P1(f341(f341(f241(a881),x83143),x83144)) % 197.39/197.44 [8315]~P60(x83151)+E(f341(f341(f3(x83151),f341(f341(f8(a881,x83151),x83152),f341(f309(a881,x83153),x83154))),f341(f341(f8(a881,x83151),x83152),f341(f309(a881,x83153),x83155))),f341(f341(f8(a881,x83151),x83152),f341(f309(a881,x83155),x83154)))+~P1(f341(f341(f241(a881),x83155),x83154))+~P1(f341(f341(f241(a881),x83153),x83155)) % 197.39/197.44 [8555]~E(x85552,f341(x85553,x85551))+E(x85551,f693(x85552,x85553,x85554,x85555))+~P18(x85555,x85554,x85553,f249(f889(x85555,a874)))+~P1(f341(f341(f344(x85554),x85552),f341(f341(f317(x85555,x85554),x85553),f249(f889(x85555,a874))))) % 197.39/197.44 [8653]~P64(x86532)+E(x86531,f2(x86532))+E(x86533,f2(x86532))+E(f341(f341(f298(x86532),f341(f341(f91(x86532),f341(f341(f92(x86532),x86534),x86531)),f341(f341(f92(x86532),x86535),x86533))),f341(f341(f92(x86532),x86533),x86531)),f341(f341(f91(x86532),f341(f341(f298(x86532),x86534),x86533)),f341(f341(f298(x86532),x86535),x86531))) % 197.39/197.44 [8654]~P64(x86542)+E(x86541,f2(x86542))+E(x86543,f2(x86542))+E(f341(f341(f298(x86542),f341(f341(f3(x86542),f341(f341(f92(x86542),x86544),x86541)),f341(f341(f92(x86542),x86545),x86543))),f341(f341(f92(x86542),x86543),x86541)),f341(f341(f3(x86542),f341(f341(f298(x86542),x86544),x86543)),f341(f341(f298(x86542),x86545),x86541))) % 197.39/197.44 [8882]~P114(x88821)+~P1(f341(f341(f242(x88821),f341(f85(x88821),x88822)),x88824))+P1(f341(f341(f242(x88821),f341(f341(f92(x88821),f341(f85(x88821),x88822)),f341(f85(x88821),x88823))),f341(f341(f92(x88821),x88824),x88825)))+~P1(f341(f341(f242(x88821),f341(f85(x88821),x88823)),x88825)) % 197.39/197.44 [8899]~P28(x88991,x88995,x88994)+P27(x88991,x88992,x88993)+P1(f341(f341(f344(f880(x88991)),f763(x88994,x88995,x88991,x88992)),x88995))+~P1(f341(f341(f344(f880(x88991)),x88993),x88994)) % 197.39/197.44 [9168]~P34(x91681,x91682)+~P1(f341(f341(f344(x91681),x91683),x91684))+~P1(f341(f341(f344(x91681),x91685),x91684))+~P1(f341(f341(f344(f888(x91681,x91681)),f341(f341(f257(x91681,x91681),x91685),f468(x91682,x91681,x91684))),x91682)) % 197.39/197.44 [9671]~P101(x96715)+~P8(x96715)+P1(f341(f341(f344(x96711),f714(x96712,x96713,x96711,x96714,x96715)),x96713))+~P1(f341(f341(f242(x96715),x96714),f341(f341(f42(x96711,x96715),x96713),x96712))) % 197.39/197.44 [9675]~P101(x96751)+~P8(x96751)+P1(f341(f341(f242(x96751),x96752),f341(x96753,f714(x96753,x96754,x96755,x96752,x96751))))+~P1(f341(f341(f242(x96751),x96752),f341(f341(f42(x96755,x96751),x96754),x96753))) % 197.39/197.44 [9956]~P70(x99562)+~P1(f341(f72(x99561),x99565))+E(f341(f341(f8(x99561,x99562),f341(f341(f9(x99561,x99562,x99562),f341(f341(f20(x99561,x99562,f889(x99562,x99562)),f341(f341(f10(a874,f889(x99562,f889(x99562,x99562)),x99561),f111(x99562)),f341(a338,x99563))),x99564)),f2(x99562))),x99565),f2(x99562))+P1(f341(f341(f344(x99561),x99563),x99565)) % 197.39/197.44 [9957]~P72(x99572)+~P1(f341(f72(x99571),x99575))+E(f341(f341(f11(x99571,x99572),f341(f341(f9(x99571,x99572,x99572),f341(f341(f20(x99571,x99572,f889(x99572,x99572)),f341(f341(f10(a874,f889(x99572,f889(x99572,x99572)),x99571),f111(x99572)),f341(a338,x99573))),x99574)),f89(x99572))),x99575),f89(x99572))+P1(f341(f341(f344(x99571),x99573),x99575)) % 197.39/197.44 [9958]~P70(x99582)+~P1(f341(f72(x99581),x99585))+E(f341(f341(f8(x99581,x99582),f341(f341(f9(x99581,x99582,x99582),f341(f341(f20(x99581,x99582,f889(x99582,x99582)),f341(f341(f10(a874,f889(x99582,f889(x99582,x99582)),x99581),f111(x99582)),f341(a338,x99583))),x99584)),f2(x99582))),x99585),f341(x99584,x99583))+~P1(f341(f341(f344(x99581),x99583),x99585)) % 197.39/197.44 [9959]~P72(x99592)+~P1(f341(f72(x99591),x99595))+E(f341(f341(f11(x99591,x99592),f341(f341(f9(x99591,x99592,x99592),f341(f341(f20(x99591,x99592,f889(x99592,x99592)),f341(f341(f10(a874,f889(x99592,f889(x99592,x99592)),x99591),f111(x99592)),f341(a338,x99593))),x99594)),f89(x99592))),x99595),f341(x99594,x99593))+~P1(f341(f341(f344(x99591),x99593),x99595)) % 197.39/197.44 [10018]~P70(x100182)+~P1(f341(f72(x100181),x100185))+E(f341(f341(f8(x100181,x100182),f341(f341(f9(x100181,x100182,x100182),f341(f341(f20(x100181,x100182,f889(x100182,x100182)),f341(f341(f10(a874,f889(x100182,f889(x100182,x100182)),x100181),f111(x100182)),f341(f341(f9(x100181,x100181,a874),a338),x100183))),x100184)),f2(x100182))),x100185),f2(x100182))+P1(f341(f341(f344(x100181),x100183),x100185)) % 197.39/197.44 [10019]~P72(x100192)+~P1(f341(f72(x100191),x100195))+E(f341(f341(f11(x100191,x100192),f341(f341(f9(x100191,x100192,x100192),f341(f341(f20(x100191,x100192,f889(x100192,x100192)),f341(f341(f10(a874,f889(x100192,f889(x100192,x100192)),x100191),f111(x100192)),f341(f341(f9(x100191,x100191,a874),a338),x100193))),x100194)),f89(x100192))),x100195),f89(x100192))+P1(f341(f341(f344(x100191),x100193),x100195)) % 197.39/197.44 [10021]~P70(x100212)+~P1(f341(f72(x100211),x100215))+E(f341(f341(f8(x100211,x100212),f341(f341(f9(x100211,x100212,x100212),f341(f341(f20(x100211,x100212,f889(x100212,x100212)),f341(f341(f10(a874,f889(x100212,f889(x100212,x100212)),x100211),f111(x100212)),f341(f341(f9(x100211,x100211,a874),a338),x100213))),x100214)),f2(x100212))),x100215),f341(x100214,x100213))+~P1(f341(f341(f344(x100211),x100213),x100215)) % 197.39/197.44 [10022]~P72(x100222)+~P1(f341(f72(x100221),x100225))+E(f341(f341(f11(x100221,x100222),f341(f341(f9(x100221,x100222,x100222),f341(f341(f20(x100221,x100222,f889(x100222,x100222)),f341(f341(f10(a874,f889(x100222,f889(x100222,x100222)),x100221),f111(x100222)),f341(f341(f9(x100221,x100221,a874),a338),x100223))),x100224)),f89(x100222))),x100225),f341(x100224,x100223))+~P1(f341(f341(f344(x100221),x100223),x100225)) % 197.39/197.44 [7815]~P60(x78152)+~P1(f341(f72(x78151),x78154))+E(f341(f341(f8(x78151,x78152),x78153),f341(f341(f3(f889(x78151,a874)),x78154),f341(f341(f318(x78151),x78155),f193(f889(x78151,a874))))),f341(f341(f8(x78151,x78152),x78153),x78154))+P1(f341(f341(f344(x78151),x78155),x78154)) % 197.39/197.44 [8321]~P135(x83212)+~P1(f341(f72(x83211),x83214))+E(f341(f341(f8(x83211,x83212),x83213),f341(f341(f3(f889(x83211,a874)),x83214),f341(f341(f318(x83211),x83215),f193(f889(x83211,a874))))),f341(f341(f3(x83212),f341(f341(f8(x83211,x83212),x83213),x83214)),f341(x83213,x83215)))+~P1(f341(f341(f344(x83211),x83215),x83214)) % 197.39/197.44 [8322]~P60(x83222)+~P1(f341(f72(x83221),x83224))+E(f341(f341(f8(x83221,x83222),x83223),f341(f341(f3(f889(x83221,a874)),x83224),f341(f341(f318(x83221),x83225),f193(f889(x83221,a874))))),f341(f341(f3(x83222),f341(f341(f8(x83221,x83222),x83223),x83224)),f341(x83223,x83225)))+~P1(f341(f341(f344(x83221),x83225),x83224)) % 197.39/197.44 [8334]~P108(x83341)+~P1(f341(f341(f241(a881),x83343),x83345))+~P1(f341(f341(f294(x83341),f341(f341(f251(x83341),x83342),x83345)),x83344))+P1(f341(f341(f294(x83341),f341(f341(f251(x83341),x83342),x83343)),x83344)) % 197.39/197.44 [8350]~P60(x83501)+~P1(f341(f72(x83502),x83504))+E(f341(f341(f3(x83501),f341(f341(f8(x83502,x83501),x83503),x83504)),f341(f341(f8(x83502,x83501),x83503),x83505)),f341(f341(f8(x83502,x83501),x83503),f341(f341(f3(f889(x83502,a874)),x83504),x83505)))+~P1(f341(f341(f241(f889(x83502,a874)),x83505),x83504)) % 197.39/197.44 [8370]P1(f341(f72(x83701),f341(x83702,x83703)))+~P1(f341(f72(x83704),x83705))+~P1(f341(f341(f344(x83704),x83703),x83705))+~P1(f341(f72(x83701),f341(f341(f42(x83704,f889(x83701,a874)),x83705),x83702))) % 197.39/197.44 [8489]~P101(x84895)+~P94(x84891)+~P35(x84895,x84891,x84892)+P1(f341(f341(f241(x84891),f341(f341(f125(x84891),f341(x84892,x84893)),f341(x84892,x84894))),f341(x84892,f341(f341(f192(x84895),x84893),x84894)))) % 197.39/197.44 [8490]~P94(x84905)+~P94(x84901)+~P35(x84905,x84901,x84902)+P1(f341(f341(f241(x84901),f341(f341(f125(x84901),f341(x84902,x84903)),f341(x84902,x84904))),f341(x84902,f341(f341(f125(x84905),x84903),x84904)))) % 197.39/197.44 [8580]~P70(x85802)+~P18(x85801,x85801,x85804,x85805)+~P1(f341(f72(x85801),x85805))+E(f341(f341(f8(x85801,x85802),f341(f341(f82(x85801,x85802,x85801),x85803),x85804)),x85805),f341(f341(f8(x85801,x85802),x85803),f341(f341(f317(x85801,x85801),x85804),x85805))) % 197.39/197.44 [8581]~P72(x85812)+~P18(x85811,x85811,x85814,x85815)+~P1(f341(f72(x85811),x85815))+E(f341(f341(f11(x85811,x85812),f341(f341(f82(x85811,x85812,x85811),x85813),x85814)),x85815),f341(f341(f11(x85811,x85812),x85813),f341(f341(f317(x85811,x85811),x85814),x85815))) % 197.39/197.44 [8830]~P11(x88301,x88305,x88304)+~E(f341(f292(x88301,x88301,x88304),f341(f341(f318(x88301),x88302),f193(f889(x88301,a874)))),f341(f292(x88301,x88301,x88304),f341(f341(f318(x88301),x88303),f193(f889(x88301,a874)))))+~P1(f341(f341(f344(x88301),x88303),x88305))+P1(f341(f341(f344(f888(x88301,x88301)),f341(f341(f257(x88301,x88301),x88302),x88303)),x88304)) % 197.39/197.44 [8850]~P18(x88501,x88503,x88505,x88502)+~P1(f341(f72(x88503),x88504))+P1(f341(f341(f241(a881),f341(f37(x88501),x88502)),f341(f37(x88503),x88504)))+~P1(f341(f341(f241(f889(x88503,a874)),f341(f341(f317(x88501,x88503),x88505),x88502)),x88504)) % 197.39/197.44 [9115]~P18(x91152,x91153,x91155,x91151)+E(x91151,f193(f889(x91152,a874)))+E(f341(f341(f317(x91153,x91152),f689(x91154,x91153,x91152,x91151)),x91154),x91151)+~P1(f341(f341(f241(f889(x91153,a874)),f341(f341(f317(x91152,x91153),x91155),x91151)),x91154)) % 197.39/197.44 [9120]~P1(f341(x91201,x91205))+P1(f341(x91201,f461(x91201,x91202,x91203,x91204)))+P1(f341(x91201,f457(x91201,x91202,x91203,x91204)))+~P1(f341(f341(f344(x91204),x91205),f341(f341(f125(f889(x91204,a874)),x91203),x91202))) % 197.39/197.44 [9309]~P1(f341(x93091,x93095))+P1(f341(x93091,f457(x93091,x93092,x93093,x93094)))+P1(f341(f341(f344(x93094),f461(x93091,x93092,x93093,x93094)),x93092))+~P1(f341(f341(f344(x93094),x93095),f341(f341(f125(f889(x93094,a874)),x93093),x93092))) % 197.39/197.44 [9310]~P1(f341(x93101,x93105))+P1(f341(x93101,f461(x93101,x93102,x93103,x93104)))+P1(f341(f341(f344(x93104),f457(x93101,x93102,x93103,x93104)),x93103))+~P1(f341(f341(f344(x93104),x93105),f341(f341(f125(f889(x93104,a874)),x93103),x93102))) % 197.39/197.44 [9315]P1(f341(x93151,x93152))+~P1(f341(x93151,f464(x93151,x93153,x93154,x93155)))+~P1(f341(x93151,f463(x93151,x93153,x93154,x93155)))+~P1(f341(f341(f344(x93155),x93152),f341(f341(f125(f889(x93155,a874)),x93154),x93153))) % 197.39/197.44 [9353]E(x93531,x93532)+~P1(f341(f341(f344(f888(x93533,x93533)),f341(f341(f257(x93533,x93533),x93531),x93532)),f315(x93533,x93535)))+P1(f341(f341(f344(x93533),x93531),x93534))+~P1(f341(f341(f241(f889(f888(x93533,x93533),a874)),x93535),f341(f341(f259(x93533,x93533),x93534),f341(f18(f889(x93533,a874),x93533),x93534)))) % 197.39/197.44 [9367]P1(f341(x93671,x93672))+~P1(f341(x93671,f463(x93671,x93674,x93675,x93673)))+P1(f341(f341(f344(x93673),f464(x93671,x93674,x93675,x93673)),x93674))+~P1(f341(f341(f344(x93673),x93672),f341(f341(f125(f889(x93673,a874)),x93675),x93674))) % 197.39/197.44 [9368]P1(f341(x93681,x93682))+~P1(f341(x93681,f464(x93681,x93684,x93685,x93683)))+P1(f341(f341(f344(x93683),f463(x93681,x93684,x93685,x93683)),x93685))+~P1(f341(f341(f344(x93683),x93682),f341(f341(f125(f889(x93683,a874)),x93685),x93684))) % 197.39/197.44 [9431]P1(f341(x94311,x94312))+P1(f341(f341(f344(x94313),f464(x94311,x94314,x94315,x94313)),x94314))+P1(f341(f341(f344(x94313),f463(x94311,x94314,x94315,x94313)),x94315))+~P1(f341(f341(f344(x94313),x94312),f341(f341(f125(f889(x94313,a874)),x94315),x94314))) % 197.39/197.44 [9433]~P1(f341(x94332,x94335))+P1(f341(f341(f344(x94331),f461(x94332,x94333,x94334,x94331)),x94333))+P1(f341(f341(f344(x94331),f457(x94332,x94333,x94334,x94331)),x94334))+~P1(f341(f341(f344(x94331),x94335),f341(f341(f125(f889(x94331,a874)),x94334),x94333))) % 197.39/197.44 [9584]~P11(x95841,x95845,x95844)+~P1(f341(f341(f344(x95841),x95843),x95845))+P1(f341(f341(f344(f888(x95841,x95841)),f341(f341(f257(x95841,x95841),x95842),x95843)),x95844))+~P1(f341(f341(f241(f889(x95841,a874)),f341(f292(x95841,x95841,x95844),f341(f341(f318(x95841),x95843),f193(f889(x95841,a874))))),f341(f292(x95841,x95841,x95844),f341(f341(f318(x95841),x95842),f193(f889(x95841,a874)))))) % 197.39/197.44 [9698]~P101(x96985)+~P8(x96985)+P1(f341(f341(f344(x96981),f781(x96982,x96983,x96984,x96981,x96985)),x96984))+~P1(f341(f341(f242(x96985),f341(f341(f43(x96981,x96985),x96984),x96983)),x96982)) % 197.39/197.44 [9734]~P69(x97345)+~P79(x97345)+P1(f341(f341(f344(x97341),f528(x97342,x97343,x97344,x97341,x97345)),f341(f176(x97341),x97344)))+P1(f341(f341(f241(x97345),f341(f170(x97345),f341(f341(f159(x97341,x97345),x97343),x97344))),f341(f170(x97345),f341(f341(f159(x97341,x97345),x97342),x97344)))) % 197.39/197.44 [9832]~P101(x98321)+~P8(x98321)+P1(f341(f341(f242(x98321),f341(x98322,f781(x98323,x98322,x98324,x98325,x98321))),x98323))+~P1(f341(f341(f242(x98321),f341(f341(f43(x98325,x98321),x98324),x98322)),x98323)) % 197.39/197.44 [9973]~P69(x99731)+~P79(x99731)+~P1(f341(f341(f241(x99731),f341(x99733,f528(x99735,x99733,x99734,x99732,x99731))),f341(x99735,f528(x99735,x99733,x99734,x99732,x99731))))+P1(f341(f341(f241(x99731),f341(f170(x99731),f341(f341(f159(x99732,x99731),x99733),x99734))),f341(f170(x99731),f341(f341(f159(x99732,x99731),x99735),x99734)))) % 197.39/197.44 [8671]~P70(x86711)+~P1(f341(f72(x86714),x86715))+~P1(f341(f341(f344(x86714),x86713),x86715))+E(f341(f341(f91(x86711),f341(x86712,x86713)),f341(f341(f8(x86714,x86711),x86712),f341(f341(f3(f889(x86714,a874)),x86715),f341(f341(f318(x86714),x86713),f193(f889(x86714,a874)))))),f341(f341(f8(x86714,x86711),x86712),x86715)) % 197.39/197.44 [8672]~P72(x86721)+~P1(f341(f72(x86724),x86725))+~P1(f341(f341(f344(x86724),x86723),x86725))+E(f341(f341(f92(x86721),f341(x86722,x86723)),f341(f341(f11(x86724,x86721),x86722),f341(f341(f3(f889(x86724,a874)),x86725),f341(f341(f318(x86724),x86723),f193(f889(x86724,a874)))))),f341(f341(f11(x86724,x86721),x86722),x86725)) % 197.39/197.44 [8731]~P22(x87311,x87314,x87315)+~P1(f341(f72(x87311),x87312))+E(f341(f341(f3(f889(x87311,a874)),x87312),f341(f341(f318(x87311),x87313),f193(f889(x87311,a874)))),f193(f889(x87311,a874)))+E(f341(f341(x87314,x87313),f341(x87315,f341(f341(f3(f889(x87311,a874)),x87312),f341(f341(f318(x87311),x87313),f193(f889(x87311,a874)))))),f341(x87315,f341(f341(f318(x87311),x87313),x87312))) % 197.39/197.44 [9100]~P70(x91001)+~P1(f341(f72(x91002),x91005))+~P1(f341(f72(x91002),x91004))+E(f341(f341(f91(x91001),f341(f341(f8(x91002,x91001),x91003),f341(f341(f125(f889(x91002,a874)),x91004),x91005))),f341(f341(f8(x91002,x91001),x91003),f341(f341(f126(f889(x91002,a874)),x91004),x91005))),f341(f341(f91(x91001),f341(f341(f8(x91002,x91001),x91003),x91004)),f341(f341(f8(x91002,x91001),x91003),x91005))) % 197.39/197.44 [9102]~P72(x91021)+~P1(f341(f72(x91022),x91025))+~P1(f341(f72(x91022),x91024))+E(f341(f341(f92(x91021),f341(f341(f11(x91022,x91021),x91023),f341(f341(f125(f889(x91022,a874)),x91024),x91025))),f341(f341(f11(x91022,x91021),x91023),f341(f341(f126(f889(x91022,a874)),x91024),x91025))),f341(f341(f92(x91021),f341(f341(f11(x91022,x91021),x91023),x91024)),f341(f341(f11(x91022,x91021),x91023),x91025))) % 197.39/197.44 [9251]~P60(x92511)+~P1(f341(f72(x92512),x92515))+~P1(f341(f72(x92512),x92514))+E(f341(f341(f3(x92511),f341(f341(f91(x92511),f341(f341(f8(x92512,x92511),x92513),x92514)),f341(f341(f8(x92512,x92511),x92513),x92515))),f341(f341(f8(x92512,x92511),x92513),f341(f341(f126(f889(x92512,a874)),x92514),x92515))),f341(f341(f8(x92512,x92511),x92513),f341(f341(f125(f889(x92512,a874)),x92514),x92515))) % 197.39/197.44 [9408]~P18(x94081,x94082,x94083,x94085)+~P18(x94081,x94082,x94083,x94084)+P18(x94081,x94082,x94083,f341(f341(f125(f889(x94081,a874)),x94084),x94085))+~E(f341(f341(f126(f889(x94082,a874)),f341(f341(f317(x94081,x94082),x94083),f341(f341(f3(f889(x94081,a874)),x94084),x94085))),f341(f341(f317(x94081,x94082),x94083),f341(f341(f3(f889(x94081,a874)),x94085),x94084))),f193(f889(x94082,a874))) % 197.39/197.44 [9560]E(x95601,f2(a1))+~P1(f341(f341(f242(a1),f2(a1)),x95603))+~P1(f341(f61(x95602,x95601),f341(f341(f257(a1,a1),x95604),x95605)))+P1(f341(f61(x95602,f341(f341(f92(a1),x95601),x95603)),f341(f341(f257(a1,a1),f341(f341(f38(a1),x95604),x95603)),f341(f341(f91(a1),f341(f341(f92(a1),x95601),f57(a1,x95604,x95603))),x95605)))) % 197.39/197.44 [9568]~P1(f341(f341(f242(a881),f2(a881)),x95683))+~P1(f341(f341(f242(a881),f2(a881)),x95682))+~P1(f341(f60(x95681,x95682),f341(f341(f257(a881,a881),x95684),x95685)))+P1(f341(f60(x95681,f341(f341(f92(a881),x95682),x95683)),f341(f341(f257(a881,a881),f341(f341(f38(a881),x95684),x95683)),f341(f341(f91(a881),f341(f341(f92(a881),x95682),f57(a881,x95684,x95683))),x95685)))) % 197.39/197.44 [9610]E(f341(f341(f91(a1),f588(x96101,x96102,x96103,x96104,x96105)),f589(x96101,x96102,x96103,x96104,x96105)),x96105)+~P1(f341(f341(f294(a1),x96104),x96103))+~P1(f341(f341(f294(a1),x96104),f341(f341(f91(a1),x96105),x96101)))+P1(f341(f341(f294(a1),x96104),f341(f341(f91(a1),f341(f341(f3(a1),x96105),x96103)),x96101))) % 197.39/197.44 [9611]E(f341(f341(f3(a1),f594(x96111,x96112,x96113,x96114,x96115)),f595(x96111,x96112,x96113,x96114,x96115)),x96115)+~P1(f341(f341(f294(a1),x96114),x96113))+~P1(f341(f341(f294(a1),x96114),f341(f341(f91(a1),x96115),x96111)))+P1(f341(f341(f294(a1),x96114),f341(f341(f91(a1),f341(f341(f91(a1),x96115),x96113)),x96111))) % 197.39/197.44 [9612]~P72(x96121)+~P1(f341(f72(x96122),x96125))+~P1(f341(f72(x96122),x96124))+E(f341(f341(f92(x96121),f341(f341(f341(f75(x96121,x96122,f92(x96121)),x96123),f89(x96121)),f341(f341(f125(f889(x96122,a874)),x96124),x96125))),f341(f341(f341(f75(x96121,x96122,f92(x96121)),x96123),f89(x96121)),f341(f341(f126(f889(x96122,a874)),x96124),x96125))),f341(f341(f92(x96121),f341(f341(f341(f75(x96121,x96122,f92(x96121)),x96123),f89(x96121)),x96124)),f341(f341(f341(f75(x96121,x96122,f92(x96121)),x96123),f89(x96121)),x96125))) % 197.39/197.44 [9614]~E(f341(f341(f177(x96141),x96145),x96142),f341(f341(f177(x96141),x96145),x96143))+P1(f341(f341(f344(f888(f883(x96141),f883(x96141))),f341(f341(f257(f883(x96141),f883(x96141)),x96142),x96143)),f152(x96141,x96144)))+~P1(f341(f341(f242(a881),x96145),f341(f341(f246(a881),f341(f194(f883(x96141)),x96142)),f341(f194(f883(x96141)),x96143))))+~P1(f341(f341(f344(f888(x96141,x96141)),f341(f341(f257(x96141,x96141),f341(f341(f169(x96141),x96142),x96145)),f341(f341(f169(x96141),x96143),x96145))),x96144)) % 197.39/197.44 [9624]E(f341(f341(f91(a1),f590(x96241,x96242,x96243,x96244,x96245)),f591(x96241,x96242,x96243,x96244,x96245)),x96245)+~P1(f341(f341(f294(a1),x96244),x96243))+P1(f341(f341(f294(a1),x96244),f341(f341(f91(a1),x96245),x96241)))+~P1(f341(f341(f294(a1),x96244),f341(f341(f91(a1),f341(f341(f3(a1),x96245),x96243)),x96241))) % 197.39/197.44 [9625]E(f341(f341(f3(a1),f592(x96251,x96252,x96253,x96254,x96255)),f593(x96251,x96252,x96253,x96254,x96255)),x96255)+~P1(f341(f341(f294(a1),x96254),x96253))+P1(f341(f341(f294(a1),x96254),f341(f341(f91(a1),x96255),x96251)))+~P1(f341(f341(f294(a1),x96254),f341(f341(f91(a1),f341(f341(f91(a1),x96255),x96253)),x96251))) % 197.39/197.44 [9707]~P1(f341(f341(f294(a1),x97074),x97073))+P1(f341(f341(f344(a1),f588(x97071,x97072,x97073,x97074,x97075)),x97072))+~P1(f341(f341(f294(a1),x97074),f341(f341(f91(a1),x97075),x97071)))+P1(f341(f341(f294(a1),x97074),f341(f341(f91(a1),f341(f341(f3(a1),x97075),x97073)),x97071))) % 197.39/197.44 [9708]~P1(f341(f341(f294(a1),x97084),x97083))+P1(f341(f341(f344(a1),f594(x97081,x97082,x97083,x97084,x97085)),x97082))+~P1(f341(f341(f294(a1),x97084),f341(f341(f91(a1),x97085),x97081)))+P1(f341(f341(f294(a1),x97084),f341(f341(f91(a1),f341(f341(f91(a1),x97085),x97083)),x97081))) % 197.39/197.44 [9715]~P1(f341(f341(f294(a1),x97154),x97153))+P1(f341(f341(f344(a1),f589(x97151,x97152,x97153,x97154,x97155)),f310(a1,f89(a1),x97153)))+~P1(f341(f341(f294(a1),x97154),f341(f341(f91(a1),x97155),x97151)))+P1(f341(f341(f294(a1),x97154),f341(f341(f91(a1),f341(f341(f3(a1),x97155),x97153)),x97151))) % 197.39/197.44 [9716]~P1(f341(f341(f294(a1),x97164),x97163))+P1(f341(f341(f344(a1),f595(x97161,x97162,x97163,x97164,x97165)),f310(a1,f89(a1),x97163)))+~P1(f341(f341(f294(a1),x97164),f341(f341(f91(a1),x97165),x97161)))+P1(f341(f341(f294(a1),x97164),f341(f341(f91(a1),f341(f341(f91(a1),x97165),x97163)),x97161))) % 197.39/197.44 [9718]~P2(x97185)+~P79(x97185)+P1(f341(f341(f344(x97181),f597(x97182,x97183,x97184,x97181,x97185)),x97184))+P1(f341(f341(f241(x97185),f341(f341(f8(x97181,x97185),x97183),x97184)),f341(f341(f92(x97185),f341(f116(x97185),f341(f37(x97181),x97184))),x97182))) % 197.39/197.44 [9719]~P1(f341(f341(f294(a1),x97194),x97193))+P1(f341(f341(f344(a1),f592(x97191,x97192,x97193,x97194,x97195)),x97192))+P1(f341(f341(f294(a1),x97194),f341(f341(f91(a1),x97195),x97191)))+~P1(f341(f341(f294(a1),x97194),f341(f341(f91(a1),f341(f341(f91(a1),x97195),x97193)),x97191))) % 197.39/197.44 [9720]~P1(f341(f341(f294(a1),x97204),x97203))+P1(f341(f341(f344(a1),f590(x97201,x97202,x97203,x97204,x97205)),x97202))+P1(f341(f341(f294(a1),x97204),f341(f341(f91(a1),x97205),x97201)))+~P1(f341(f341(f294(a1),x97204),f341(f341(f91(a1),f341(f341(f3(a1),x97205),x97203)),x97201))) % 197.39/197.44 [9723]~P1(f341(f341(f294(a1),x97231),x97235))+P1(f341(f341(f344(a1),f593(x97233,x97234,x97235,x97231,x97232)),f310(a1,f89(a1),x97235)))+P1(f341(f341(f294(a1),x97231),f341(f341(f91(a1),x97232),x97233)))+~P1(f341(f341(f294(a1),x97231),f341(f341(f91(a1),f341(f341(f91(a1),x97232),x97235)),x97233))) % 197.39/197.44 [9724]~P1(f341(f341(f294(a1),x97241),x97245))+P1(f341(f341(f344(a1),f591(x97243,x97244,x97245,x97241,x97242)),f310(a1,f89(a1),x97245)))+P1(f341(f341(f294(a1),x97241),f341(f341(f91(a1),x97242),x97243)))+~P1(f341(f341(f294(a1),x97241),f341(f341(f91(a1),f341(f341(f3(a1),x97242),x97245)),x97243))) % 197.39/197.44 [9890]~P2(x98901)+~P79(x98901)+~P1(f341(f341(f241(x98901),f341(x98903,f597(x98905,x98903,x98904,x98902,x98901))),x98905))+P1(f341(f341(f241(x98901),f341(f341(f8(x98902,x98901),x98903),x98904)),f341(f341(f92(x98901),f341(f116(x98901),f341(f37(x98902),x98904))),x98905))) % 197.39/197.44 [8696]E(f341(f341(f137(x86961),x86962),x86963),f341(f341(f137(x86961),x86964),x86965))+~E(f341(f341(f177(x86961),f341(f194(f883(x86961)),x86962)),x86964),x86962)+~E(f341(f341(f137(x86961),f341(f341(f143(x86961),f341(f194(f883(x86961)),x86962)),x86964)),x86965),x86963)+P1(f341(f341(f241(a881),f341(f194(f883(x86961)),x86964)),f341(f194(f883(x86961)),x86962))) % 197.39/197.44 [8829]E(f341(f341(f137(x88291),x88292),x88293),f341(f341(f137(x88291),x88294),x88295))+~E(f341(f341(f177(x88291),f341(f194(f883(x88291)),x88292)),x88294),x88292)+~E(x88293,f341(f341(f137(x88291),f341(f341(f143(x88291),f341(f194(f883(x88291)),x88292)),x88294)),x88295))+~P1(f341(f341(f241(a881),f341(f194(f883(x88291)),x88292)),f341(f194(f883(x88291)),x88294))) % 197.39/197.44 [10074]~P1(f341(x100745,x100744))+~P1(f341(f72(x100742),f341(f267(x100742),x100745)))+P1(f341(f72(x100741),f341(f267(x100741),f341(f341(f9(x100741,x100742,a874),x100743),x100744))))+~P1(f341(f72(x100741),f341(f267(x100741),f341(f341(f10(f889(x100742,a874),a874,x100741),f98(x100742)),f341(f341(f10(f889(x100742,a874),f889(x100742,a874),x100741),f341(f20(x100742,a874,a874),f341(f341(f10(a874,f889(a874,a874),x100742),a339),x100745))),x100743))))) % 197.39/197.44 [10156]~P1(f341(f72(x101562),x101565))+~P1(f341(f341(f344(x101562),x101564),x101565))+P1(f341(f72(x101561),f341(f267(x101561),f341(f341(f9(x101561,x101562,a874),x101563),x101564))))+~P1(f341(f72(x101561),f341(f267(x101561),f341(f341(f10(f889(x101562,a874),a874,x101561),f98(x101562)),f341(f341(f10(f889(x101562,a874),f889(x101562,a874),x101561),f341(f20(x101562,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101562),a339),f341(f341(f9(x101562,f889(x101562,a874),a874),f344(x101562)),x101565)))),x101563))))) % 197.39/197.44 [8027]~P23(x80275,x80271,x80276,x80272)+E(f341(f341(f82(x80271,x80271,x80271),f341(x80272,x80273)),f341(x80272,x80274)),f341(f341(f82(x80271,x80271,x80271),f341(x80272,x80274)),f341(x80272,x80273)))+~P1(f341(f72(x80275),x80274))+~P1(f341(f72(x80275),x80273)) % 197.39/197.44 [7704]~P24(x77046,x77041,x77044,x77042)+E(f341(f341(f82(x77041,x77041,x77041),f341(x77042,x77043)),f341(x77044,x77045)),f341(x77042,x77043))+~P1(f341(f72(x77046),x77043))+~P1(f341(f341(f344(x77046),x77045),x77043)) % 197.39/197.44 [7872]~P18(x78721,x78722,x78724,x78723)+~E(f341(x78724,x78726),x78725)+E(f341(f88(x78721,x78722,x78723,x78724),x78725),x78726)+~P1(f341(f341(f344(x78721),x78726),x78723)) % 197.39/197.44 [9256]~P23(x92563,x92561,x92566,x92562)+E(f341(f341(f82(x92561,x92561,x92561),f341(x92562,f341(f341(f3(f889(x92563,a874)),x92564),f341(f341(f318(x92563),x92565),f193(f889(x92563,a874)))))),f341(x92566,x92565)),f341(x92562,x92564))+~P1(f341(f72(x92563),x92564))+~P1(f341(f341(f344(x92563),x92565),x92564)) % 197.39/197.44 [10072]~P10(x100724,x100725)+P1(f341(x100721,f341(x100722,x100723)))+~P1(f341(f341(f344(f889(x100724,x100724)),x100722),f277(f889(x100724,x100724),f276(x100724,x100724,x100724,x100724,x100726,x100725))))+~P1(f341(x100721,f341(f829(x100723,x100721,x100726,x100725,x100724),x100723))) % 197.39/197.44 [6972]~P59(x69721)+~E(f57(x69721,x69723,x69724),f57(x69721,x69726,x69724))+~E(f57(x69721,x69722,x69724),f57(x69721,x69725,x69724))+E(f57(x69721,f341(f341(f91(x69721),x69722),x69723),x69724),f57(x69721,f341(f341(f91(x69721),x69725),x69726),x69724)) % 197.39/197.44 [6973]~P59(x69731)+~E(f57(x69731,x69733,x69734),f57(x69731,x69736,x69734))+~E(f57(x69731,x69732,x69734),f57(x69731,x69735,x69734))+E(f57(x69731,f341(f341(f92(x69731),x69732),x69733),x69734),f57(x69731,f341(f341(f92(x69731),x69735),x69736),x69734)) % 197.39/197.44 [6974]~P7(x69741)+~E(f57(x69741,x69743,x69744),f57(x69741,x69746,x69744))+~E(f57(x69741,x69742,x69744),f57(x69741,x69745,x69744))+E(f57(x69741,f341(f341(f3(x69741),x69742),x69743),x69744),f57(x69741,f341(f341(f3(x69741),x69745),x69746),x69744)) % 197.39/197.44 [7761]~P23(x77612,x77615,x77616,x77611)+~P1(f341(f72(x77612),x77614))+E(f341(x77611,f341(f341(f318(x77612),x77613),x77614)),f341(f341(f82(x77615,x77615,x77615),f341(x77611,x77614)),f341(x77616,x77613)))+P1(f341(f341(f344(x77612),x77613),x77614)) % 197.39/197.44 [7830]~P8(x78301)+P1(f341(f341(f241(x78301),x78302),f341(x78303,x78304)))+~P1(f341(f341(f344(x78305),x78304),x78306))+~P1(f341(f341(f241(x78301),x78302),f341(f341(f43(x78305,x78301),x78306),x78303))) % 197.39/197.44 [8088]~P101(x80883)+~P1(f341(x80882,x80885))+~P16(x80883,f341(f341(f159(x80881,x80883),x80884),x80886))+E(f341(f141(x80881,x80882),f341(f341(f154(x80881,x80883,x80884),x80885),x80886)),f341(f341(f154(x80881,x80883,x80884),x80885),f341(f141(x80881,x80882),x80886))) % 197.39/197.44 [8111]E(x81111,x81112)+E(x81113,f2(a1))+~P1(f341(f61(x81114,x81113),f341(f341(f257(a1,a1),x81115),x81112)))+~P1(f341(f61(x81114,x81113),f341(f341(f257(a1,a1),x81116),x81111))) % 197.39/197.44 [8112]E(x81121,x81122)+E(x81123,f2(a1))+~P1(f341(f61(x81124,x81123),f341(f341(f257(a1,a1),x81122),x81125)))+~P1(f341(f61(x81124,x81123),f341(f341(f257(a1,a1),x81121),x81126))) % 197.39/197.44 [8119]~P24(x81195,x81191,x81196,x81192)+E(f341(f341(f82(x81191,x81191,x81191),f341(x81192,x81193)),f341(x81192,x81194)),f341(x81192,x81193))+~P1(f341(f72(x81195),x81193))+~P1(f341(f341(f241(f889(x81195,a874)),x81194),x81193)) % 197.39/197.44 [9477]~P18(x94771,x94772,x94774,x94773)+~P1(f341(f341(f344(x94772),x94775),f341(f341(f317(x94771,x94772),x94774),x94773)))+P1(f341(f341(f344(x94771),f341(f88(x94771,x94772,x94773,x94774),x94775)),x94776))+~P1(f341(f341(f241(f889(x94771,a874)),x94773),x94776)) % 197.39/197.44 [10101]~P35(f889(f888(x101014,x101015),a874),f889(f888(x101014,x101015),a874),x101016)+~P1(f341(f341(x101011,f498(x101011,x101016,x101013,x101012,x101015,x101014)),f499(x101011,x101016,x101013,x101012,x101015,x101014)))+P1(f341(f341(x101011,x101012),x101013))+~P1(f341(f341(f344(f888(x101014,x101015)),f341(f341(f257(x101014,x101015),x101012),x101013)),f112(f889(f888(x101014,x101015),a874),x101016))) % 197.39/197.44 [10152]~P72(x101521)+~P1(f341(f72(x101522),x101526))+E(f341(f341(f341(f75(x101521,x101522,f92(x101521)),f341(f341(f20(x101522,f889(x101523,a874),x101521),f341(f341(f9(x101522,x101521,f889(f889(x101523,a874),x101521)),f341(f341(f10(f889(x101523,x101521),f889(x101521,f889(f889(x101523,a874),x101521)),x101522),f75(x101521,x101523,f92(x101521))),x101524)),f89(x101521))),x101525)),f89(x101521)),x101526),f341(f341(f341(f75(x101521,f888(x101522,x101523),f92(x101521)),f341(f262(x101522,x101523,x101521),x101524)),f89(x101521)),f341(f341(f259(x101522,x101523),x101526),x101525)))+P1(f341(f341(f344(x101522),f737(x101524,x101525,x101523,x101526,x101522,x101521)),x101526)) % 197.39/197.44 [10172]~P72(x101721)+~P1(f341(f72(x101722),x101726))+E(f341(f341(f341(f75(x101721,x101722,f92(x101721)),f341(f341(f20(x101722,f889(x101723,a874),x101721),f341(f341(f9(x101722,x101721,f889(f889(x101723,a874),x101721)),f341(f341(f10(f889(x101723,x101721),f889(x101721,f889(f889(x101723,a874),x101721)),x101722),f75(x101721,x101723,f92(x101721))),x101724)),f89(x101721))),x101725)),f89(x101721)),x101726),f341(f341(f341(f75(x101721,f888(x101722,x101723),f92(x101721)),f341(f262(x101722,x101723,x101721),x101724)),f89(x101721)),f341(f341(f259(x101722,x101723),x101726),x101725)))+~P1(f341(f72(x101723),f341(x101725,f737(x101724,x101725,x101723,x101726,x101722,x101721)))) % 197.39/197.44 [7981]~P24(x79812,x79815,x79816,x79811)+~P1(f341(f72(x79812),x79814))+~P1(f341(f72(x79812),x79813))+E(f341(x79811,f341(f341(f125(f889(x79812,a874)),x79813),x79814)),f341(f341(f82(x79815,x79815,x79815),f341(x79811,x79813)),f341(x79811,x79814))) % 197.39/197.44 [8486]~P8(x84861)+P1(f341(f341(f241(x84861),f341(x84862,x84863)),x84864))+~P1(f341(f341(f344(x84865),x84863),x84866))+~P1(f341(f341(f241(x84861),f341(f341(f42(x84865,x84861),x84866),x84862)),x84864)) % 197.39/197.44 [8846]~P18(x88462,x88461,x88463,x88466)+E(f341(f341(f3(f889(x88461,a874)),f341(f341(f317(x88462,x88461),x88463),x88464)),f341(f341(f317(x88462,x88461),x88463),x88465)),f341(f341(f317(x88462,x88461),x88463),f341(f341(f3(f889(x88462,a874)),x88464),x88465)))+~P1(f341(f341(f241(f889(x88462,a874)),x88465),x88466))+~P1(f341(f341(f241(f889(x88462,a874)),x88464),x88466)) % 197.39/197.44 [8847]~P18(x88472,x88471,x88473,x88476)+E(f341(f341(f126(f889(x88471,a874)),f341(f341(f317(x88472,x88471),x88473),x88474)),f341(f341(f317(x88472,x88471),x88473),x88475)),f341(f341(f317(x88472,x88471),x88473),f341(f341(f126(f889(x88472,a874)),x88474),x88475)))+~P1(f341(f341(f241(f889(x88472,a874)),x88475),x88476))+~P1(f341(f341(f241(f889(x88472,a874)),x88474),x88476)) % 197.39/197.44 [8947]~P1(f341(x89471,x89473))+~P1(f341(f341(f341(f341(a201,x89472),x89473),x89474),x89476))+~P1(f341(f341(f341(f341(a201,f32(x89471,x89472)),x89476),x89474),x89475))+P1(f341(f341(f341(f341(a201,f32(x89471,x89472)),x89473),x89474),x89475)) % 197.39/197.44 [9172]E(x91721,x91722)+~P53(x91723,x91724,x91725)+~P1(f341(f341(f344(f888(x91723,x91724)),f341(f341(f257(x91723,x91724),x91726),x91722)),x91725))+~P1(f341(f341(f344(f888(x91723,x91724)),f341(f341(f257(x91723,x91724),x91726),x91721)),x91725)) % 197.39/197.44 [9679]~P70(x96791)+~P1(f341(f72(x96793),x96796))+~P1(f341(f72(x96792),x96795))+E(f341(f341(f91(x96791),f341(f341(f8(x96792,x96791),f341(f341(f82(f887(x96792,x96793),x96791,x96792),x96794),f319(x96792,x96793))),x96795)),f341(f341(f8(x96793,x96791),f341(f341(f82(f887(x96792,x96793),x96791,x96793),x96794),f323(x96793,x96792))),x96796)),f341(f341(f8(f887(x96792,x96793),x96791),x96794),f324(x96792,x96793,x96795,x96796))) % 197.39/197.44 [9827]~P70(x98272)+~E(f623(x98271,x98273,x98275,x98276,x98274,x98272),f624(x98271,x98273,x98275,x98276,x98274,x98272))+~P1(f341(f72(x98274),x98276))+E(f341(f341(f8(x98271,x98272),x98273),f341(f341(f317(x98274,x98271),x98275),x98276)),f341(f341(f8(x98274,x98272),f341(f341(f82(x98271,x98272,x98274),x98273),x98275)),x98276)) % 197.39/197.44 [9870]~P70(x98706)+E(f341(x98701,f623(x98702,x98703,x98701,x98704,x98705,x98706)),f341(x98701,f624(x98702,x98703,x98701,x98704,x98705,x98706)))+~P1(f341(f72(x98705),x98704))+E(f341(f341(f8(x98702,x98706),x98703),f341(f341(f317(x98705,x98702),x98701),x98704)),f341(f341(f8(x98705,x98706),f341(f341(f82(x98702,x98706,x98705),x98703),x98701)),x98704)) % 197.39/197.44 [9920]~P70(x99202)+~E(f341(x99203,f341(x99205,f624(x99201,x99203,x99205,x99206,x99204,x99202))),f2(x99202))+~P1(f341(f72(x99204),x99206))+E(f341(f341(f8(x99201,x99202),x99203),f341(f341(f317(x99204,x99201),x99205),x99206)),f341(f341(f8(x99204,x99202),f341(f341(f82(x99201,x99202,x99204),x99203),x99205)),x99206)) % 197.39/197.44 [9978]~P70(x99782)+~P1(f341(f72(x99784),x99786))+E(f341(f341(f8(x99781,x99782),x99783),f341(f341(f317(x99784,x99781),x99785),x99786)),f341(f341(f8(x99784,x99782),f341(f341(f82(x99781,x99782,x99784),x99783),x99785)),x99786))+P1(f341(f341(f344(x99784),f624(x99781,x99783,x99785,x99786,x99784,x99782)),x99786)) % 197.39/197.44 [9979]~P70(x99792)+~P1(f341(f72(x99794),x99796))+E(f341(f341(f8(x99791,x99792),x99793),f341(f341(f317(x99794,x99791),x99795),x99796)),f341(f341(f8(x99794,x99792),f341(f341(f82(x99791,x99792,x99794),x99793),x99795)),x99796))+P1(f341(f341(f344(x99794),f623(x99791,x99793,x99795,x99796,x99794,x99792)),x99796)) % 197.39/197.44 [8711]~P67(x87111)+~P1(f341(f72(x87112),x87116))+P1(f341(f341(f344(x87112),x87115),x87116))+E(f341(f341(f341(f75(x87111,x87112,f92(x87111)),x87113),x87114),f341(f341(f318(x87112),x87115),x87116)),f341(f341(f92(x87111),f341(x87113,x87115)),f341(f341(f341(f75(x87111,x87112,f92(x87111)),x87113),x87114),x87116))) % 197.39/197.44 [8766]~P11(x87661,x87666,x87663)+~P14(x87661,f889(x87662,a874),x87663,x87665)+~P1(f341(f341(f344(x87661),x87664),x87666))+E(f341(f341(f42(x87661,f889(x87662,a874)),f341(f292(x87661,x87661,x87663),f341(f341(f318(x87661),x87664),f193(f889(x87661,a874))))),x87665),f341(x87665,x87664)) % 197.39/197.44 [9051]~P23(x90513,x90511,x90516,x90512)+~P1(f341(f72(x90513),x90515))+~P1(f341(f72(x90513),x90514))+E(f341(f341(f82(x90511,x90511,x90511),f341(x90512,f341(f341(f125(f889(x90513,a874)),x90514),x90515))),f341(x90512,f341(f341(f126(f889(x90513,a874)),x90514),x90515))),f341(f341(f82(x90511,x90511,x90511),f341(x90512,x90514)),f341(x90512,x90515))) % 197.39/197.44 [10183]~P35(f889(f888(x101834,x101835),a874),f889(f888(x101834,x101835),a874),x101836)+P1(f341(f341(x101831,x101832),x101833))+~P1(f341(f341(f344(f888(x101834,x101835)),f341(f341(f257(x101834,x101835),x101832),x101833)),f112(f889(f888(x101834,x101835),a874),x101836)))+P1(f341(f341(f344(f888(x101834,x101835)),f341(f341(f257(x101834,x101835),f498(x101831,x101836,x101833,x101832,x101835,x101834)),f499(x101831,x101836,x101833,x101832,x101835,x101834))),f341(x101836,f341(f341(f126(f889(f888(x101834,x101835),a874)),f112(f889(f888(x101834,x101835),a874),x101836)),f341(f267(f888(x101834,x101835)),f341(f262(x101834,x101835,a874),x101831)))))) % 197.39/197.44 [9512]~E(x95123,f341(f341(f164(x95121,x95122),x95125),x95126))+P1(f341(f341(f344(f888(f883(x95121),f883(x95121))),f341(f341(f257(f883(x95121),f883(x95121)),x95122),x95123)),f162(x95121,x95124)))+~P1(f341(f341(f242(a881),x95125),f341(f194(f883(x95121)),x95122)))+~P1(f341(f341(f344(f888(x95121,x95121)),f341(f341(f257(x95121,x95121),f341(f341(f169(x95121),x95122),x95125)),x95126)),x95124)) % 197.39/197.44 [9998]~P70(x99982)+~P1(f341(f72(x99981),x99986))+P1(f341(f341(f344(x99981),f704(x99984,x99985,x99983,x99986,x99981,x99982)),x99986))+E(f341(f341(f8(x99981,x99982),f341(f341(f20(x99981,f889(x99983,a874),x99982),f341(f341(f10(f889(x99983,x99982),f889(f889(x99983,a874),x99982),x99981),f8(x99983,x99982)),x99984)),x99985)),x99986),f341(f341(f8(f888(x99981,x99983),x99982),f341(f262(x99981,x99983,x99982),x99984)),f341(f341(f259(x99981,x99983),x99986),x99985))) % 197.39/197.44 [9999]~P72(x99992)+~P1(f341(f72(x99991),x99996))+P1(f341(f341(f344(x99991),f705(x99994,x99995,x99993,x99996,x99991,x99992)),x99996))+E(f341(f341(f11(x99991,x99992),f341(f341(f20(x99991,f889(x99993,a874),x99992),f341(f341(f10(f889(x99993,x99992),f889(f889(x99993,a874),x99992),x99991),f11(x99993,x99992)),x99994)),x99995)),x99996),f341(f341(f11(f888(x99991,x99993),x99992),f341(f262(x99991,x99993,x99992),x99994)),f341(f341(f259(x99991,x99993),x99996),x99995))) % 197.39/197.44 [10069]~P70(x100692)+~P1(f341(f72(x100691),x100696))+~P1(f341(f72(x100693),f341(x100695,f704(x100694,x100695,x100693,x100696,x100691,x100692))))+E(f341(f341(f8(x100691,x100692),f341(f341(f20(x100691,f889(x100693,a874),x100692),f341(f341(f10(f889(x100693,x100692),f889(f889(x100693,a874),x100692),x100691),f8(x100693,x100692)),x100694)),x100695)),x100696),f341(f341(f8(f888(x100691,x100693),x100692),f341(f262(x100691,x100693,x100692),x100694)),f341(f341(f259(x100691,x100693),x100696),x100695))) % 197.39/197.44 [10070]~P72(x100702)+~P1(f341(f72(x100701),x100706))+~P1(f341(f72(x100703),f341(x100705,f705(x100704,x100705,x100703,x100706,x100701,x100702))))+E(f341(f341(f11(x100701,x100702),f341(f341(f20(x100701,f889(x100703,a874),x100702),f341(f341(f10(f889(x100703,x100702),f889(f889(x100703,a874),x100702),x100701),f11(x100703,x100702)),x100704)),x100705)),x100706),f341(f341(f11(f888(x100701,x100703),x100702),f341(f262(x100701,x100703,x100702),x100704)),f341(f341(f259(x100701,x100703),x100706),x100705))) % 197.39/197.44 [10020]~P72(x100202)+~P1(f341(f72(x100201),x100206))+P1(f341(f341(f344(x100201),x100203),x100206))+E(f341(f341(f11(x100201,x100202),f341(f341(f9(x100201,x100202,x100202),f341(f341(f20(x100201,x100202,f889(x100202,x100202)),f341(f341(f10(a874,f889(x100202,f889(x100202,x100202)),x100201),f111(x100202)),f341(f341(f9(x100201,x100201,a874),a338),x100203))),x100204)),x100205)),x100206),f341(f341(f251(x100202),x100205),f341(f37(x100201),x100206))) % 197.39/197.44 [10023]~P72(x100232)+~P1(f341(f72(x100231),x100236))+~P1(f341(f341(f344(x100231),x100233),x100236))+E(f341(f341(f11(x100231,x100232),f341(f341(f9(x100231,x100232,x100232),f341(f341(f20(x100231,x100232,f889(x100232,x100232)),f341(f341(f10(a874,f889(x100232,f889(x100232,x100232)),x100231),f111(x100232)),f341(f341(f9(x100231,x100231,a874),a338),x100233))),x100234)),x100235)),x100236),f341(f341(f92(x100232),f341(x100234,x100233)),f341(f341(f251(x100232),x100235),f341(f341(f3(a881),f341(f37(x100231),x100236)),f89(a881))))) % 197.39/197.44 [10142]~P1(f341(f72(x101421),x101425))+~P1(f341(f72(x101422),x101423))+P1(f341(f341(f344(x101422),f620(x101426,x101424,x101423,x101422,x101425,x101421)),x101423))+E(f341(f341(f8(x101421,a881),f341(f341(f10(f889(x101422,a874),a881,x101421),f37(x101422)),f341(f341(f10(f889(x101422,a874),f889(x101422,a874),x101421),f267(x101422)),f341(f341(f10(f889(x101422,a874),f889(x101422,a874),x101421),f341(f20(x101422,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101422),a339),f341(f341(f9(x101422,f889(x101422,a874),a874),f344(x101422)),x101423)))),x101424)))),x101425),f341(f341(f92(a881),x101426),f341(f37(x101422),x101423))) % 197.39/197.44 [10143]~P1(f341(f72(x101431),x101435))+~P1(f341(f72(x101432),x101433))+P1(f341(f341(f344(x101432),f625(x101436,x101434,x101433,x101432,x101435,x101431)),x101433))+E(f341(f341(f8(x101431,a881),f341(f341(f10(f889(x101432,a874),a881,x101431),f37(x101432)),f341(f341(f10(f889(x101432,a874),f889(x101432,a874),x101431),f267(x101432)),f341(f341(f10(f889(x101432,a874),f889(x101432,a874),x101431),f341(f20(x101432,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101432),a339),f341(f341(f9(x101432,f889(x101432,a874),a874),f344(x101432)),x101433)))),x101434)))),x101435),f341(f341(f8(x101432,a881),x101436),x101433)) % 197.39/197.44 [10187]~P1(f341(f72(x101872),x101873))+~P1(f341(f72(x101871),x101875))+~E(f341(f37(x101871),f341(f267(x101871),f341(f341(f20(x101871,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101871),a339),f341(f341(f9(x101871,f889(x101871,a874),a874),f344(x101871)),x101875))),f341(f341(f9(x101871,x101872,a874),x101874),f620(x101876,x101874,x101873,x101872,x101875,x101871))))),x101876)+E(f341(f341(f8(x101871,a881),f341(f341(f10(f889(x101872,a874),a881,x101871),f37(x101872)),f341(f341(f10(f889(x101872,a874),f889(x101872,a874),x101871),f267(x101872)),f341(f341(f10(f889(x101872,a874),f889(x101872,a874),x101871),f341(f20(x101872,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101872),a339),f341(f341(f9(x101872,f889(x101872,a874),a874),f344(x101872)),x101873)))),x101874)))),x101875),f341(f341(f92(a881),x101876),f341(f37(x101872),x101873))) % 197.39/197.44 [10190]~P1(f341(f72(x101902),x101903))+~P1(f341(f72(x101901),x101905))+~E(f341(f37(x101901),f341(f267(x101901),f341(f341(f20(x101901,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101901),a339),f341(f341(f9(x101901,f889(x101901,a874),a874),f344(x101901)),x101905))),f341(f341(f9(x101901,x101902,a874),x101904),f625(x101906,x101904,x101903,x101902,x101905,x101901))))),f341(x101906,f625(x101906,x101904,x101903,x101902,x101905,x101901)))+E(f341(f341(f8(x101901,a881),f341(f341(f10(f889(x101902,a874),a881,x101901),f37(x101902)),f341(f341(f10(f889(x101902,a874),f889(x101902,a874),x101901),f267(x101902)),f341(f341(f10(f889(x101902,a874),f889(x101902,a874),x101901),f341(f20(x101902,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101902),a339),f341(f341(f9(x101902,f889(x101902,a874),a874),f344(x101902)),x101903)))),x101904)))),x101905),f341(f341(f8(x101902,a881),x101906),x101903)) % 197.39/197.44 [9586]P1(f341(x95861,x95862))+~P1(f341(f341(f344(x95867),x95862),f341(x95866,x95864)))+~P1(f341(x95861,f713(x95861,x95866,x95865,x95863,x95867)))+~P1(f341(f341(f344(x95863),x95864),x95865)) % 197.39/197.44 [10107]~P10(x101076,x101075)+~P1(f341(x101071,f341(x101077,x101072)))+~P1(f341(f341(f344(f889(x101074,x101076)),x101077),f277(f889(x101074,x101076),f276(x101074,x101074,x101076,x101076,x101073,x101075))))+P1(f341(x101071,f341(f830(x101072,x101071,x101073,x101074,x101075,x101076),x101072))) % 197.39/197.44 [10140]~P47(x101402,x101401,x101404,x101403,x101406)+~E(f561(x101405,x101406,x101403,x101404,x101401,x101402,x101407),x101407)+~P1(f341(x101405,x101407))+P1(f341(f341(f87(f889(x101401,a874),f889(x101402,a874),a874,a874,f87(x101402,x101401,a874,a874,x101403,f34(a874)),f34(a874)),f279(x101402,x101404)),x101405)) % 197.39/197.44 [10153]~P47(x101537,x101536,x101535,x101534,x101533)+E(x101531,f547(x101532,x101533,x101534,x101535,x101536,x101537))+~P1(f341(x101532,x101531))+~P1(f341(f341(f87(f889(x101536,a874),f889(x101537,a874),a874,a874,f87(x101537,x101536,a874,a874,x101534,f34(a874)),f34(a874)),f279(x101537,x101535)),x101532)) % 197.39/197.44 [10174]~P47(x101746,x101745,x101744,x101743,x101742)+~P1(f341(x101741,x101747))+P1(f341(x101741,f561(x101741,x101742,x101743,x101744,x101745,x101746,x101747)))+P1(f341(f341(f87(f889(x101745,a874),f889(x101746,a874),a874,a874,f87(x101746,x101745,a874,a874,x101743,f34(a874)),f34(a874)),f279(x101746,x101744)),x101741)) % 197.39/197.44 [10061]~P47(x100611,x100612,x100616,x100613,x100617)+~P1(f341(x100614,f680(x100614,x100617,x100613,x100616,x100612,x100611)))+~P1(f341(f341(f344(x100611),x100615),f277(x100611,x100616)))+P1(f341(f341(f87(x100611,x100612,a874,a874,x100613,f34(a874)),x100614),x100615)) % 197.39/197.44 [10087]~P47(x100876,x100875,x100874,x100873,x100872)+P1(f341(x100871,f437(x100871,x100872,x100873,x100874,x100875,x100876)))+~P1(f341(f341(f344(x100876),x100877),f277(x100876,x100874)))+~P1(f341(f341(f87(x100876,x100875,a874,a874,x100873,f34(a874)),x100871),x100877)) % 197.39/197.44 [9664]~P19(x96641,x96641,x96644,x96642,x96643,x96647)+~E(f341(f341(f318(x96641),x96645),x96646),f341(f341(f318(x96641),x96642),x96643))+P1(f341(f341(f344(x96641),x96642),x96643))+P1(f341(f73(x96641,x96644,f341(f341(f318(x96641),x96645),x96646)),x96647)) % 197.39/197.44 [9689]P1(f341(x96891,x96892))+~P1(f341(f341(f344(x96893),x96892),f341(x96894,x96897)))+~P1(f341(f341(f344(x96896),x96897),x96895))+P1(f341(f341(f344(x96893),f713(x96891,x96894,x96895,x96896,x96893)),f341(f341(f42(x96896,f889(x96893,a874)),x96895),x96894))) % 197.39/197.44 [9268]~P67(x92681)+~P18(x92685,x92682,x92686,x92687)+~P1(f341(f72(x92685),x92687))+E(f341(f341(f341(f75(x92681,x92682,f92(x92681)),x92683),x92684),f341(f341(f317(x92685,x92682),x92686),x92687)),f341(f341(f341(f75(x92681,x92685,f92(x92681)),f341(f341(f82(x92682,x92681,x92685),x92683),x92686)),x92684),x92687)) % 197.39/197.44 [9606]~P18(x96062,x96061,x96065,x96064)+~P18(x96061,x96063,x96066,f341(f341(f317(x96062,x96061),x96065),x96064))+E(f341(f341(f341(f82(x96061,x96062,x96063),f88(x96062,x96061,x96064,x96065)),f88(x96061,x96063,f341(f341(f317(x96062,x96061),x96065),x96064),x96066)),x96067),f341(f88(x96062,x96063,x96064,f341(f341(f82(x96061,x96063,x96062),x96066),x96065)),x96067))+~P1(f341(f341(f344(x96063),x96067),f341(f341(f317(x96061,x96063),x96066),f341(f341(f317(x96062,x96061),x96065),x96064)))) % 197.39/197.44 [9759]E(x97591,f2(a1))+~P1(f341(f61(x97593,x97591),f341(f341(f257(a1,a1),x97595),x97597)))+~P1(f341(f61(x97592,x97591),f341(f341(f257(a1,a1),x97594),x97596)))+P1(f341(f61(f341(f341(f91(a1),x97592),x97593),x97591),f341(f341(f257(a1,a1),f341(f341(f91(a1),f341(f341(f91(a1),x97594),x97595)),f341(f341(f38(a1),f341(f341(f91(a1),x97596),x97597)),x97591))),f57(a1,f341(f341(f91(a1),x97596),x97597),x97591)))) % 197.39/197.44 [9761]~P1(f341(f341(f242(a881),f2(a881)),x97613))+~P1(f341(f60(x97612,x97613),f341(f341(f257(a881,a881),x97615),x97617)))+~P1(f341(f60(x97611,x97613),f341(f341(f257(a881,a881),x97614),x97616)))+P1(f341(f60(f341(f341(f91(a881),x97611),x97612),x97613),f341(f341(f257(a881,a881),f341(f341(f91(a881),f341(f341(f91(a881),x97614),x97615)),f341(f341(f38(a881),f341(f341(f91(a881),x97616),x97617)),x97613))),f57(a881,f341(f341(f91(a881),x97616),x97617),x97613)))) % 197.39/197.44 [10186]~P70(x101862)+~P1(f341(f72(x101863),x101865))+~P1(f341(f72(x101861),x101867))+E(f341(f341(f8(x101861,x101862),f341(f341(f20(x101861,f889(x101863,a874),x101862),f341(f341(f10(f889(x101863,x101862),f889(f889(x101863,a874),x101862),x101861),f8(x101863,x101862)),x101864)),f341(f341(f10(f889(x101863,a874),f889(x101863,a874),x101861),f267(x101863)),f341(f341(f10(f889(x101863,a874),f889(x101863,a874),x101861),f341(f20(x101863,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101863),a339),f341(f341(f9(x101863,f889(x101863,a874),a874),f344(x101863)),x101865)))),x101866)))),x101867),f341(f341(f8(x101863,x101862),f341(f341(f20(x101863,f889(x101861,a874),x101862),f341(f341(f10(f889(x101861,x101862),f889(f889(x101861,a874),x101862),x101863),f8(x101861,x101862)),f341(f9(x101861,x101863,x101862),x101864))),f341(f341(f10(f889(x101861,a874),f889(x101861,a874),x101863),f267(x101861)),f341(f341(f10(f889(x101861,a874),f889(x101861,a874),x101863),f341(f20(x101861,a874,a874),f341(f341(f10(a874,f889(a874,a874),x101861),a339),f341(f341(f9(x101861,f889(x101861,a874),a874),f344(x101861)),x101867)))),f341(f9(x101861,x101863,a874),x101866))))),x101865)) % 197.39/197.44 [9648]~P15(x96486,x96481,x96482,x96488,x96483,x96484)+~P11(x96486,x96487,x96488)+P14(x96481,x96482,x96483,f341(x96484,x96485))+~P1(f341(f341(f344(x96486),x96485),x96487)) % 197.39/197.44 [8089]~P27(x80898,x80897,f341(f341(f341(f103(x80898),x80894),x80896),x80891))+P1(f341(f341(x80891,x80892),x80893))+~P1(f341(f341(x80894,x80892),x80895))+~P1(f341(f341(f341(f341(a201,x80896),x80895),x80897),x80893)) % 197.39/197.44 [8837]~P23(x88377,x88371,x88378,x88373)+~P1(f341(f72(x88377),x88375))+~P1(f341(f72(x88377),x88374))+E(f341(f341(f82(x88371,x88371,x88372),f341(x88373,x88374)),f341(f341(f82(x88371,x88371,x88372),f341(x88373,x88375)),x88376)),f341(f341(f82(x88371,x88371,x88372),f341(x88373,x88375)),f341(f341(f82(x88371,x88371,x88372),f341(x88373,x88374)),x88376))) % 197.39/197.44 [9287]~P32(x92871,x92872,x92873,x92874,x92877)+P32(x92871,x92872,x92873,f341(f341(f164(x92871,x92874),x92875),x92876),f341(f341(f164(x92872,x92877),x92875),x92878))+~P1(f341(f341(x92873,x92876),x92878))+~P1(f341(f341(f242(a881),x92875),f341(f194(f883(x92871)),x92874))) % 197.39/197.44 [9288]~P32(x92881,x92882,x92883,x92884,x92887)+P32(x92881,x92882,x92883,f341(f341(f164(x92881,x92884),x92885),x92886),f341(f341(f164(x92882,x92887),x92885),x92888))+~P1(f341(f341(x92883,x92886),x92888))+~P1(f341(f341(f242(a881),x92885),f341(f194(f883(x92882)),x92887))) % 197.39/197.44 [9646]~P26(x96467,x96462,x96465,x96468,x96466,x96461)+~P1(f341(f72(x96462),x96464))+E(f341(x96461,f341(f341(f318(x96462),x96463),x96464)),f341(f341(x96465,f341(x96466,x96463)),f341(x96461,x96464)))+P1(f341(f341(f344(x96462),x96463),x96464)) % 197.39/197.44 [9229]~P18(x92292,x92292,x92295,x92296)+~P25(x92293,x92292,x92297,x92298,x92291)+~P1(f341(f72(x92292),x92296))+E(f341(f341(x92291,f341(f341(f82(x92292,x92293,x92292),x92294),x92295)),x92296),f341(f341(x92291,x92294),f341(f341(f317(x92292,x92292),x92295),x92296))) % 197.39/197.44 [9269]P1(f341(f341(f344(f888(f883(x92691),f883(x92691))),f341(f341(f257(f883(x92691),f883(x92691)),x92692),x92693)),f162(x92691,x92694)))+~E(x92693,f341(f341(f137(x92691),x92695),f341(f341(f156(x92691),x92696),x92697)))+~E(x92692,f341(f341(f137(x92691),x92695),f341(f341(f156(x92691),x92698),x92697)))+~P1(f341(f341(f344(f888(x92691,x92691)),f341(f341(f257(x92691,x92691),x92698),x92696)),x92694)) % 197.39/197.44 [10219]~P18(x102194,x102192,x102195,x102198)+E(f341(f341(f43(x102191,f889(x102192,a874)),x102193),f341(f341(f10(f889(x102194,a874),f889(x102192,a874),x102191),f341(f317(x102194,x102192),x102195)),x102196)),f341(f341(f317(x102194,x102192),x102195),f341(f341(f43(x102191,f889(x102194,a874)),x102193),x102196)))+~P1(f341(f341(f344(x102191),x102197),x102193))+P1(f341(f341(f344(x102191),f796(x102197,x102196,x102193,x102191,x102198,x102195,x102192,x102194)),x102193)) % 197.39/197.44 [10242]~P18(x102424,x102422,x102425,x102427)+E(f341(f341(f43(x102421,f889(x102422,a874)),x102423),f341(f341(f10(f889(x102424,a874),f889(x102422,a874),x102421),f341(f317(x102424,x102422),x102425)),x102426)),f341(f341(f317(x102424,x102422),x102425),f341(f341(f43(x102421,f889(x102424,a874)),x102423),x102426)))+~P1(f341(f341(f344(x102421),x102428),x102423))+~P1(f341(f341(f241(f889(x102424,a874)),f341(x102426,f796(x102428,x102426,x102423,x102421,x102427,x102425,x102422,x102424))),x102427)) % 197.39/197.44 [9704]~P26(x97047,x97045,x97041,x97048,x97042,x97044)+~P1(f341(f72(x97045),x97046))+~P1(f341(f341(f344(x97045),x97043),x97046))+E(f341(f341(x97041,f341(x97042,x97043)),f341(x97044,f341(f341(f3(f889(x97045,a874)),x97046),f341(f341(f318(x97045),x97043),f193(f889(x97045,a874)))))),f341(x97044,x97046)) % 197.39/197.44 [9713]~P26(x97136,x97133,x97131,x97137,x97138,x97132)+~P1(f341(f72(x97133),x97135))+~P1(f341(f72(x97133),x97134))+E(f341(f341(x97131,f341(x97132,f341(f341(f125(f889(x97133,a874)),x97134),x97135))),f341(x97132,f341(f341(f126(f889(x97133,a874)),x97134),x97135))),f341(f341(x97131,f341(x97132,x97134)),f341(x97132,x97135))) % 197.39/197.44 [9798]P38(x97981,x97982,x97983,x97984,x97985,f341(f341(x97983,x97986),x97987))+~P38(x97981,x97982,x97983,x97984,f341(f341(f3(f889(x97981,a874)),x97985),f341(f341(f318(x97981),x97988),f193(f889(x97981,a874)))),x97989)+~E(f341(f341(x97983,x97986),x97987),f341(f341(x97983,x97988),x97989))+~P1(f341(f341(f344(x97981),x97988),x97985)) % 197.39/197.44 [9743]~P15(x97436,x97437,x97438,x97439,x974310,x97431)+E(f341(f341(x97431,x97432),x97433),f341(f341(x97431,x97434),x97435))+~P1(f341(f341(f344(f888(x97437,x97437)),f341(f341(f257(x97437,x97437),x97433),x97435)),x974310))+~P1(f341(f341(f344(f888(x97436,x97436)),f341(f341(f257(x97436,x97436),x97432),x97434)),x97439)) % 197.39/197.44 [10132]~P47(x101324,x101322,x1013213,x1013212,x101328)+~P47(x101323,x101321,x1013214,x101327,x1013210)+~P47(x101325,x101326,x1013215,x101329,x1013211)+E(f341(f87(f889(x101321,x101322),f889(x101323,x101324),f889(f889(x101325,x101323),f889(x101325,x101324)),f889(f889(x101326,x101321),f889(x101326,x101322)),f87(x101323,x101321,x101322,x101324,x101327,x101328),f87(f889(x101326,x101321),f889(x101325,x101323),f889(x101325,x101324),f889(x101326,x101322),f87(x101325,x101326,x101321,x101323,x101329,x1013210),f87(x101326,x101325,x101324,x101322,x1013211,x1013212))),f82(x101323,x101324,x101325)),f82(x101321,x101322,x101326)) % 197.39/197.44 [10117]~P47(x101177,x101178,x101179,x1011710,x1011711)+~P47(x1011712,x1011713,x1011714,x1011715,x1011716)+~P47(x101173,x101174,x1011717,x101175,x101176)+E(f341(f87(f889(x101171,x101172),f889(x101171,x101172),f889(f889(x101173,x101171),f889(x101173,x101172)),f889(f889(x101174,x101171),f889(x101174,x101172)),f34(f889(x101171,x101172)),f87(f889(x101174,x101171),f889(x101173,x101171),f889(x101173,x101172),f889(x101174,x101172),f87(x101173,x101174,x101171,x101171,x101175,f34(x101171)),f87(x101174,x101173,x101172,x101172,x101176,f34(x101172)))),f82(x101171,x101172,x101173)),f82(x101171,x101172,x101174)) % 197.39/197.44 [6895]E(x68951,x68952)+~P1(f341(f341(f241(a1),f2(a1)),x68952))+~P1(f341(f341(f241(a1),f2(a1)),x68951))+~P1(f341(f341(f294(a1),x68952),x68951))+~P1(f341(f341(f294(a1),x68951),x68952)) % 197.39/197.44 [9356]~P95(x93562)+E(x93561,f193(f889(x93562,a874)))+~P1(f341(f72(x93562),x93561))+P1(f341(f341(f344(x93562),f12(x93562,x93561)),x93561))+~P1(f341(f341(f344(x93562),f341(f341(f125(x93562),f656(x93561,x93562)),f657(x93561,x93562))),f341(f341(f318(x93562),f656(x93561,x93562)),f341(f341(f318(x93562),f657(x93561,x93562)),f193(f889(x93562,a874)))))) % 197.39/197.44 [9357]~P95(x93572)+E(x93571,f193(f889(x93572,a874)))+~P1(f341(f72(x93572),x93571))+P1(f341(f341(f344(x93572),f13(x93572,x93571)),x93571))+~P1(f341(f341(f344(x93572),f341(f341(f126(x93572),f658(x93571,x93572)),f659(x93571,x93572))),f341(f341(f318(x93572),f658(x93571,x93572)),f341(f341(f318(x93572),f659(x93571,x93572)),f193(f889(x93572,a874)))))) % 197.39/197.44 [9389]~P67(x93892)+E(x93891,f193(f889(x93892,a874)))+~P1(f341(f72(x93892),x93891))+P1(f341(f341(f344(x93892),f341(f74(x93892,f92(x93892)),x93891)),x93891))+~P1(f341(f341(f344(x93892),f341(f341(f92(x93892),f790(x93891,x93892)),f791(x93891,x93892))),f341(f341(f318(x93892),f790(x93891,x93892)),f341(f341(f318(x93892),f791(x93891,x93892)),f193(f889(x93892,a874)))))) % 197.39/197.44 [9397]~P101(x93972)+E(x93971,f193(f889(x93972,a874)))+~P1(f341(f72(x93972),x93971))+P1(f341(f341(f344(x93972),f14(x93972,f246(x93972),x93971)),x93971))+~P1(f341(f341(f344(x93972),f341(f341(f246(x93972),f651(x93971,x93972)),f654(x93971,x93972))),f341(f341(f318(x93972),f651(x93971,x93972)),f341(f341(f318(x93972),f654(x93971,x93972)),f193(f889(x93972,a874)))))) % 197.39/197.44 [9398]~P101(x93982)+E(x93981,f193(f889(x93982,a874)))+~P1(f341(f72(x93982),x93981))+P1(f341(f341(f344(x93982),f15(x93982,f192(x93982),x93981)),x93981))+~P1(f341(f341(f344(x93982),f341(f341(f192(x93982),f652(x93981,x93982)),f653(x93981,x93982))),f341(f341(f318(x93982),f652(x93981,x93982)),f341(f341(f318(x93982),f653(x93981,x93982)),f193(f889(x93982,a874)))))) % 197.39/197.44 [6518]~P83(x65182)+E(x65181,f2(x65182))+~E(f341(f341(f91(x65182),x65183),x65181),f2(x65182))+~P1(f341(f341(f241(x65182),f2(x65182)),x65183))+~P1(f341(f341(f241(x65182),f2(x65182)),x65181)) % 197.39/197.44 [6519]~P83(x65192)+E(x65191,f2(x65192))+~E(f341(f341(f91(x65192),x65191),x65193),f2(x65192))+~P1(f341(f341(f241(x65192),f2(x65192)),x65193))+~P1(f341(f341(f241(x65192),f2(x65192)),x65191)) % 197.39/197.44 [7069]~P101(x70692)+~P16(x70692,x70691)+E(x70691,f129(x70692))+~P1(f341(f341(f344(x70692),x70693),f341(f176(x70692),f728(x70691,x70692))))+P1(f341(f341(f241(x70692),f752(x70691,x70692)),x70693)) % 197.39/197.44 [7262]~P101(x72621)+~P16(x72621,x72622)+~P16(x72621,x72623)+P16(x72621,f341(f341(f137(x72621),x72622),x72623))+P1(f341(f341(f344(x72621),f673(x72623,x72622,x72621)),f341(f176(x72621),x72622))) % 197.39/197.44 [7263]~P101(x72631)+~P16(x72631,x72632)+~P16(x72631,x72633)+P16(x72631,f341(f341(f137(x72631),x72632),x72633))+P1(f341(f341(f344(x72631),f674(x72633,x72632,x72631)),f341(f176(x72631),x72633))) % 197.39/197.44 [8222]~P101(x82221)+~P16(x82221,x82222)+~P16(x82221,x82223)+P16(x82221,f341(f341(f137(x82221),x82222),x82223))+~P1(f341(f341(f241(x82221),f673(x82223,x82222,x82221)),f674(x82223,x82222,x82221))) % 197.39/197.44 [9169]~P61(x91691)+~P61(x91692)+~P1(f341(f68(f887(x91692,x91691)),x91693))+P1(f341(f68(x91692),f341(f341(f10(f887(x91692,x91691),a874,x91692),x91693),f319(x91692,x91691))))+P1(f341(f68(x91691),f341(f341(f10(f887(x91692,x91691),a874,x91691),x91693),f323(x91691,x91692)))) % 197.39/197.44 [6532]~P67(x65322)+E(x65321,f193(f889(x65322,a874)))+~P1(f341(f72(x65322),x65321))+E(f341(f74(x65322,f92(x65322)),f341(f341(f318(x65322),x65323),x65321)),f341(f341(f92(x65322),x65323),f341(f74(x65322,f92(x65322)),x65321)))+P1(f341(f341(f344(x65322),x65323),x65321)) % 197.39/197.44 [7076]~P101(x70762)+E(f341(f341(f246(x70762),f16(x70762,x70761)),f16(x70762,x70763)),f16(x70762,x70763))+E(x70761,f193(f889(x70762,a874)))+~P1(f341(f72(x70762),x70763))+~P1(f341(f341(f241(f889(x70762,a874)),x70761),x70763)) % 197.39/197.44 [7077]~P101(x70772)+E(f341(f341(f192(x70772),f17(x70772,x70771)),f17(x70772,x70773)),f17(x70772,x70773))+E(x70771,f193(f889(x70772,a874)))+~P1(f341(f72(x70772),x70773))+~P1(f341(f341(f241(f889(x70772,a874)),x70771),x70773)) % 197.39/197.44 [7078]~P95(x70782)+E(f341(f341(f125(x70782),f12(x70782,x70781)),f12(x70782,x70783)),f12(x70782,x70783))+E(x70781,f193(f889(x70782,a874)))+~P1(f341(f72(x70782),x70783))+~P1(f341(f341(f241(f889(x70782,a874)),x70781),x70783)) % 197.39/197.44 [7079]~P95(x70792)+E(f341(f341(f126(x70792),f13(x70792,x70791)),f13(x70792,x70793)),f13(x70792,x70793))+E(x70791,f193(f889(x70792,a874)))+~P1(f341(f72(x70792),x70793))+~P1(f341(f341(f241(f889(x70792,a874)),x70791),x70793)) % 197.39/197.44 [7377]~P101(x73772)+E(x73771,f193(f889(x73772,a874)))+~P1(f341(f72(x73772),x73773))+P1(f341(f341(f241(x73772),f16(x73772,x73773)),f16(x73772,x73771)))+~P1(f341(f341(f241(f889(x73772,a874)),x73771),x73773)) % 197.39/197.44 [7378]~P101(x73782)+E(x73781,f193(f889(x73782,a874)))+~P1(f341(f72(x73782),x73783))+P1(f341(f341(f241(x73782),f17(x73782,x73781)),f17(x73782,x73783)))+~P1(f341(f341(f241(f889(x73782,a874)),x73781),x73783)) % 197.39/197.44 [7429]~P95(x74291)+E(f12(x74291,x74292),x74293)+~P1(f341(f72(x74291),x74292))+~E(f341(f341(f3(f889(x74291,a874)),x74292),f341(f341(f318(x74291),x74293),f193(f889(x74291,a874)))),f193(f889(x74291,a874)))+~P1(f341(f341(f344(x74291),x74293),x74292)) % 197.39/197.44 [7430]~P95(x74301)+E(f13(x74301,x74302),x74303)+~P1(f341(f72(x74301),x74302))+~E(f341(f341(f3(f889(x74301,a874)),x74302),f341(f341(f318(x74301),x74303),f193(f889(x74301,a874)))),f193(f889(x74301,a874)))+~P1(f341(f341(f344(x74301),x74303),x74302)) % 197.39/197.44 [7431]~P101(x74311)+E(f16(x74311,x74312),x74313)+~P1(f341(f72(x74311),x74312))+~E(f341(f341(f3(f889(x74311,a874)),x74312),f341(f341(f318(x74311),x74313),f193(f889(x74311,a874)))),f193(f889(x74311,a874)))+~P1(f341(f341(f344(x74311),x74313),x74312)) % 197.39/197.44 [7432]~P101(x74321)+E(f17(x74321,x74322),x74323)+~P1(f341(f72(x74321),x74322))+~E(f341(f341(f3(f889(x74321,a874)),x74322),f341(f341(f318(x74321),x74323),f193(f889(x74321,a874)))),f193(f889(x74321,a874)))+~P1(f341(f341(f344(x74321),x74323),x74322)) % 197.39/197.44 [7528]~P101(x75281)+E(f14(x75281,f246(x75281),x75282),x75283)+~P1(f341(f72(x75281),x75282))+~E(f341(f341(f3(f889(x75281,a874)),x75282),f341(f341(f318(x75281),x75283),f193(f889(x75281,a874)))),f193(f889(x75281,a874)))+~P1(f341(f341(f344(x75281),x75283),x75282)) % 197.39/197.44 [7529]~P101(x75291)+E(f15(x75291,f192(x75291),x75292),x75293)+~P1(f341(f72(x75291),x75292))+~E(f341(f341(f3(f889(x75291,a874)),x75292),f341(f341(f318(x75291),x75293),f193(f889(x75291,a874)))),f193(f889(x75291,a874)))+~P1(f341(f341(f344(x75291),x75293),x75292)) % 197.39/197.44 [7564]~P101(x75642)+E(x75641,f193(f889(x75642,a874)))+~P1(f341(f72(x75642),x75641))+~P1(f341(f341(f242(x75642),x75643),f783(x75643,x75641,x75642)))+P1(f341(f341(f242(x75642),x75643),f341(f74(x75642,f246(x75642)),x75641))) % 197.39/197.44 [7565]~P101(x75652)+E(x75651,f193(f889(x75652,a874)))+~P1(f341(f72(x75652),x75651))+~P1(f341(f341(f241(x75652),x75653),f784(x75653,x75651,x75652)))+P1(f341(f341(f241(x75652),x75653),f341(f74(x75652,f246(x75652)),x75651))) % 197.39/197.44 [7566]~P100(x75662)+E(x75661,f193(f889(x75662,a874)))+~P1(f341(f72(x75662),x75661))+~P1(f341(f341(f241(x75662),x75663),f785(x75663,x75661,x75662)))+P1(f341(f341(f241(x75662),x75663),f341(f74(x75662,f126(x75662)),x75661))) % 197.39/197.44 [7650]~P100(x76502)+E(x76501,f193(f889(x76502,a874)))+~P1(f341(f72(x76502),x76501))+P1(f341(f341(f344(x76502),f785(x76503,x76501,x76502)),x76501))+P1(f341(f341(f241(x76502),x76503),f341(f74(x76502,f126(x76502)),x76501))) % 197.39/197.44 [7651]~P101(x76512)+E(x76511,f193(f889(x76512,a874)))+~P1(f341(f72(x76512),x76511))+P1(f341(f341(f344(x76512),f784(x76513,x76511,x76512)),x76511))+P1(f341(f341(f241(x76512),x76513),f341(f74(x76512,f246(x76512)),x76511))) % 197.39/197.44 [7652]~P101(x76522)+E(x76521,f193(f889(x76522,a874)))+~P1(f341(f72(x76522),x76521))+P1(f341(f341(f344(x76522),f783(x76523,x76521,x76522)),x76521))+P1(f341(f341(f242(x76522),x76523),f341(f74(x76522,f246(x76522)),x76521))) % 197.39/197.44 [7772]~P101(x77722)+E(x77721,f193(f889(x77722,a874)))+E(f341(f341(f246(x77722),f14(x77722,f246(x77722),x77721)),f14(x77722,f246(x77722),x77723)),f14(x77722,f246(x77722),x77723))+~P1(f341(f72(x77722),x77723))+~P1(f341(f341(f241(f889(x77722,a874)),x77721),x77723)) % 197.39/197.44 [7773]~P101(x77732)+E(x77731,f193(f889(x77732,a874)))+E(f341(f341(f192(x77732),f15(x77732,f192(x77732),x77731)),f15(x77732,f192(x77732),x77733)),f15(x77732,f192(x77732),x77733))+~P1(f341(f72(x77732),x77733))+~P1(f341(f341(f241(f889(x77732,a874)),x77731),x77733)) % 197.39/197.44 [7969]~E(f760(x79691,x79693,x79692),f761(x79691,x79693,x79692))+~E(f341(f37(x79692),f762(x79691,x79693,x79692)),x79691)+E(f341(f341(f92(a881),x79691),f341(f37(f889(x79692,a874)),x79693)),f341(f37(x79692),f39(f889(x79692,a874),x79693)))+~P1(f341(f72(x79692),f39(f889(x79692,a874),x79693)))+~P1(f341(f72(f889(x79692,a874)),x79693)) % 197.39/197.44 [8155]~P101(x81552)+E(x81551,f193(f889(x81552,a874)))+~P1(f341(f72(x81552),x81553))+P1(f341(f341(f241(x81552),f341(f74(x81552,f246(x81552)),x81553)),f341(f74(x81552,f246(x81552)),x81551)))+~P1(f341(f341(f241(f889(x81552,a874)),x81551),x81553)) % 197.39/197.44 [8463]~E(f760(x84631,x84633,x84632),f761(x84631,x84633,x84632))+E(f341(f341(f92(a881),x84631),f341(f37(f889(x84632,a874)),x84633)),f341(f37(x84632),f39(f889(x84632,a874),x84633)))+P1(f341(f341(f344(f889(x84632,a874)),f762(x84631,x84633,x84632)),x84633))+~P1(f341(f72(x84632),f39(f889(x84632,a874),x84633)))+~P1(f341(f72(f889(x84632,a874)),x84633)) % 197.39/197.44 [8483]~E(f341(f37(x84832),f762(x84831,x84833,x84832)),x84831)+E(f341(f341(f92(a881),x84831),f341(f37(f889(x84832,a874)),x84833)),f341(f37(x84832),f39(f889(x84832,a874),x84833)))+P1(f341(f341(f344(f889(x84832,a874)),f761(x84831,x84833,x84832)),x84833))+~P1(f341(f72(x84832),f39(f889(x84832,a874),x84833)))+~P1(f341(f72(f889(x84832,a874)),x84833)) % 197.39/197.44 [8484]~E(f341(f37(x84842),f762(x84841,x84843,x84842)),x84841)+E(f341(f341(f92(a881),x84841),f341(f37(f889(x84842,a874)),x84843)),f341(f37(x84842),f39(f889(x84842,a874),x84843)))+P1(f341(f341(f344(f889(x84842,a874)),f760(x84841,x84843,x84842)),x84843))+~P1(f341(f72(x84842),f39(f889(x84842,a874),x84843)))+~P1(f341(f72(f889(x84842,a874)),x84843)) % 197.39/197.44 [8515]~E(f341(f37(x85152),f762(x85151,x85153,x85152)),x85151)+~E(f341(f341(f126(f889(x85152,a874)),f761(x85151,x85153,x85152)),f760(x85151,x85153,x85152)),f193(f889(x85152,a874)))+E(f341(f341(f92(a881),x85151),f341(f37(f889(x85152,a874)),x85153)),f341(f37(x85152),f39(f889(x85152,a874),x85153)))+~P1(f341(f72(f889(x85152,a874)),x85153))+~P1(f341(f72(x85152),f39(f889(x85152,a874),x85153))) % 197.39/197.44 [8770]E(f341(f341(f92(a881),x87701),f341(f37(f889(x87702,a874)),x87703)),f341(f37(x87702),f39(f889(x87702,a874),x87703)))+P1(f341(f341(f344(f889(x87702,a874)),f762(x87701,x87703,x87702)),x87703))+P1(f341(f341(f344(f889(x87702,a874)),f761(x87701,x87703,x87702)),x87703))+~P1(f341(f72(f889(x87702,a874)),x87703))+~P1(f341(f72(x87702),f39(f889(x87702,a874),x87703))) % 197.39/197.44 [8771]E(f341(f341(f92(a881),x87711),f341(f37(f889(x87712,a874)),x87713)),f341(f37(x87712),f39(f889(x87712,a874),x87713)))+P1(f341(f341(f344(f889(x87712,a874)),f762(x87711,x87713,x87712)),x87713))+P1(f341(f341(f344(f889(x87712,a874)),f760(x87711,x87713,x87712)),x87713))+~P1(f341(f72(f889(x87712,a874)),x87713))+~P1(f341(f72(x87712),f39(f889(x87712,a874),x87713))) % 197.39/197.44 [8795]~E(f341(f341(f126(f889(x87952,a874)),f761(x87951,x87953,x87952)),f760(x87951,x87953,x87952)),f193(f889(x87952,a874)))+E(f341(f341(f92(a881),x87951),f341(f37(f889(x87952,a874)),x87953)),f341(f37(x87952),f39(f889(x87952,a874),x87953)))+~P1(f341(f72(f889(x87952,a874)),x87953))+P1(f341(f341(f344(f889(x87952,a874)),f762(x87951,x87953,x87952)),x87953))+~P1(f341(f72(x87952),f39(f889(x87952,a874),x87953))) % 197.39/197.44 [8988]~P95(x89882)+E(x89881,f193(f889(x89882,a874)))+~E(f341(f341(f125(x89882),f341(x89883,f730(x89881,x89883,x89882))),f341(x89883,f747(x89881,x89883,x89882))),f341(x89883,f341(f341(f125(x89882),f730(x89881,x89883,x89882)),f747(x89881,x89883,x89882))))+~P1(f341(f72(x89882),x89881))+E(f12(x89882,f341(f341(f317(x89882,x89882),x89883),x89881)),f341(x89883,f12(x89882,x89881))) % 197.39/197.44 [8989]~P95(x89892)+E(x89891,f193(f889(x89892,a874)))+~E(f341(f341(f126(x89892),f341(x89893,f731(x89891,x89893,x89892))),f341(x89893,f745(x89891,x89893,x89892))),f341(x89893,f341(f341(f126(x89892),f731(x89891,x89893,x89892)),f745(x89891,x89893,x89892))))+~P1(f341(f72(x89892),x89891))+E(f13(x89892,f341(f341(f317(x89892,x89892),x89893),x89891)),f341(x89893,f13(x89892,x89891))) % 197.39/197.44 [8990]~P101(x89902)+E(x89901,f193(f889(x89902,a874)))+~E(f341(f341(f246(x89902),f341(x89903,f732(x89901,x89903,x89902))),f341(x89903,f744(x89901,x89903,x89902))),f341(x89903,f341(f341(f246(x89902),f732(x89901,x89903,x89902)),f744(x89901,x89903,x89902))))+~P1(f341(f72(x89902),x89901))+E(f16(x89902,f341(f341(f317(x89902,x89902),x89903),x89901)),f341(x89903,f16(x89902,x89901))) % 197.39/197.44 [8991]~P101(x89912)+E(x89911,f193(f889(x89912,a874)))+~E(f341(f341(f192(x89912),f341(x89913,f733(x89911,x89913,x89912))),f341(x89913,f743(x89911,x89913,x89912))),f341(x89913,f341(f341(f192(x89912),f733(x89911,x89913,x89912)),f743(x89911,x89913,x89912))))+~P1(f341(f72(x89912),x89911))+E(f17(x89912,f341(f341(f317(x89912,x89912),x89913),x89911)),f341(x89913,f17(x89912,x89911))) % 197.39/197.44 [9036]~P93(x90362)+E(x90361,f193(f889(x90362,a874)))+~E(f341(f341(f92(x90362),f341(x90363,f799(x90361,x90363,x90362))),f341(x90363,f800(x90361,x90363,x90362))),f341(x90363,f341(f341(f92(x90362),f799(x90361,x90363,x90362)),f800(x90361,x90363,x90362))))+~P1(f341(f72(x90362),x90361))+E(f341(f74(x90362,f92(x90362)),f341(f341(f317(x90362,x90362),x90363),x90361)),f341(x90363,f341(f74(x90362,f92(x90362)),x90361))) % 197.39/197.44 [9047]~P101(x90472)+E(x90471,f193(f889(x90472,a874)))+~E(f341(f341(f246(x90472),f341(x90473,f734(x90471,x90473,x90472))),f341(x90473,f742(x90471,x90473,x90472))),f341(x90473,f341(f341(f246(x90472),f734(x90471,x90473,x90472)),f742(x90471,x90473,x90472))))+~P1(f341(f72(x90472),x90471))+E(f14(x90472,f246(x90472),f341(f341(f317(x90472,x90472),x90473),x90471)),f341(x90473,f14(x90472,f246(x90472),x90471))) % 197.39/197.44 [9048]~P101(x90482)+E(x90481,f193(f889(x90482,a874)))+~E(f341(f341(f192(x90482),f341(x90483,f735(x90481,x90483,x90482))),f341(x90483,f741(x90481,x90483,x90482))),f341(x90483,f341(f341(f192(x90482),f735(x90481,x90483,x90482)),f741(x90481,x90483,x90482))))+~P1(f341(f72(x90482),x90481))+E(f15(x90482,f192(x90482),f341(f341(f317(x90482,x90482),x90483),x90481)),f341(x90483,f15(x90482,f192(x90482),x90481))) % 197.39/197.44 [9954]P1(f341(f341(x99541,x99542),x99543))+P1(f341(f341(f242(a1),f354(x99541,x99543,x99542)),f355(x99541,x99543,x99542)))+P1(f341(f341(f241(a1),f355(x99541,x99543,x99542)),f2(a1)))+P1(f341(f341(x99541,f354(x99541,x99543,x99542)),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f355(x99541,x99543,x99542))))+~P1(f341(f329(f888(a1,a1),a69),f341(f341(f257(a1,a1),x99542),x99543))) % 197.39/197.44 [9960]P1(f341(f341(x99601,x99602),x99603))+P1(f341(f341(f241(a1),f353(x99601,x99603,x99602)),f2(a1)))+P1(f341(f341(x99601,f871(x99601,x99603,x99602)),f341(f341(f92(a1),f341(f118(a1),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f353(x99601,x99603,x99602))))+P1(f341(f341(f241(a1),f2(a1)),f341(f341(f91(a1),f871(x99601,x99603,x99602)),f353(x99601,x99603,x99602))))+~P1(f341(f329(f888(a1,a1),a64),f341(f341(f257(a1,a1),x99602),x99603))) % 197.39/197.44 [7937]~P114(x79371)+~P1(f341(f341(f241(x79371),x79372),f89(x79371)))+~P1(f341(f341(f241(x79371),f2(x79371)),x79372))+~P1(f341(f341(f241(x79371),f2(x79371)),x79373))+P1(f341(f341(f241(x79371),f341(f341(f92(x79371),x79372),x79373)),x79373)) % 197.39/197.44 [7938]~P114(x79381)+~P1(f341(f341(f241(x79381),x79383),f89(x79381)))+~P1(f341(f341(f241(x79381),f2(x79381)),x79383))+~P1(f341(f341(f241(x79381),f2(x79381)),x79382))+P1(f341(f341(f241(x79381),f341(f341(f92(x79381),x79382),x79383)),x79382)) % 197.39/197.44 [8299]~P101(x82992)+E(x82991,f193(f889(x82992,a874)))+~P1(f341(f72(x82992),x82991))+P1(f341(f341(f344(x82992),f788(x82993,x82991,x82992)),x82991))+~P1(f341(f341(f241(x82992),f341(f74(x82992,f246(x82992)),x82991)),x82993)) % 197.39/197.44 [8300]~P101(x83002)+E(x83001,f193(f889(x83002,a874)))+~P1(f341(f72(x83002),x83001))+P1(f341(f341(f344(x83002),f789(x83003,x83001,x83002)),x83001))+~P1(f341(f341(f242(x83002),f341(f74(x83002,f246(x83002)),x83001)),x83003)) % 197.39/197.44 [8301]~P101(x83012)+E(x83011,f193(f889(x83012,a874)))+~P1(f341(f72(x83012),x83011))+P1(f341(f341(f242(x83012),f789(x83013,x83011,x83012)),x83013))+~P1(f341(f341(f242(x83012),f341(f74(x83012,f246(x83012)),x83011)),x83013)) % 197.39/197.44 [8302]~P101(x83022)+E(x83021,f193(f889(x83022,a874)))+~P1(f341(f72(x83022),x83021))+P1(f341(f341(f241(x83022),f788(x83023,x83021,x83022)),x83023))+~P1(f341(f341(f241(x83022),f341(f74(x83022,f246(x83022)),x83021)),x83023)) % 197.39/197.44 [8383]~P1(f341(x83831,x83833))+P1(f341(x83831,f578(x83831,x83832)))+P1(f341(x83831,f562(x83831,x83832)))+~P1(f341(f341(f242(a1),f2(a1)),x83832))+P1(f341(x83831,f341(f341(f3(a1),f562(x83831,x83832)),f341(f341(f92(a1),f579(x83831,x83832)),x83832)))) % 197.39/197.44 [8617]~P1(f341(x86171,x86173))+P1(f341(x86171,f562(x86171,x86172)))+~P1(f341(f341(f242(a1),f2(a1)),x86172))+P1(f341(f341(f344(a1),f578(x86171,x86172)),f310(a1,f89(a1),x86172)))+P1(f341(x86171,f341(f341(f3(a1),f562(x86171,x86172)),f341(f341(f92(a1),f579(x86171,x86172)),x86172)))) % 197.39/197.44 [8822]~P1(f341(x88221,x88223))+~P1(f341(x88221,f562(x88221,x88222)))+P1(f341(x88221,f578(x88221,x88222)))+~P1(f341(f341(f242(a1),f2(a1)),x88222))+~P1(f341(x88221,f341(f341(f3(a1),f562(x88221,x88222)),f341(f341(f92(a1),f579(x88221,x88222)),x88222)))) % 197.39/197.44 [8945]~P1(f341(x89451,x89453))+~P1(f341(x89451,f562(x89451,x89452)))+~P1(f341(f341(f242(a1),f2(a1)),x89452))+P1(f341(f341(f344(a1),f578(x89451,x89452)),f310(a1,f89(a1),x89452)))+~P1(f341(x89451,f341(f341(f3(a1),f562(x89451,x89452)),f341(f341(f92(a1),f579(x89451,x89452)),x89452)))) % 197.39/197.44 [8727]~P95(x87271)+~P1(f341(f72(x87271),x87272))+E(f341(f341(f3(f889(x87271,a874)),x87272),f341(f341(f318(x87271),x87273),f193(f889(x87271,a874)))),f193(f889(x87271,a874)))+~P1(f341(f341(f344(x87271),x87273),x87272))+E(f341(f341(f125(x87271),x87273),f12(x87271,f341(f341(f3(f889(x87271,a874)),x87272),f341(f341(f318(x87271),x87273),f193(f889(x87271,a874)))))),f12(x87271,x87272)) % 197.39/197.44 [8728]~P95(x87281)+~P1(f341(f72(x87281),x87282))+E(f341(f341(f3(f889(x87281,a874)),x87282),f341(f341(f318(x87281),x87283),f193(f889(x87281,a874)))),f193(f889(x87281,a874)))+~P1(f341(f341(f344(x87281),x87283),x87282))+E(f341(f341(f126(x87281),x87283),f13(x87281,f341(f341(f3(f889(x87281,a874)),x87282),f341(f341(f318(x87281),x87283),f193(f889(x87281,a874)))))),f13(x87281,x87282)) % 197.39/197.44 [8729]~P101(x87291)+~P1(f341(f72(x87291),x87292))+E(f341(f341(f3(f889(x87291,a874)),x87292),f341(f341(f318(x87291),x87293),f193(f889(x87291,a874)))),f193(f889(x87291,a874)))+~P1(f341(f341(f344(x87291),x87293),x87292))+E(f341(f341(f246(x87291),x87293),f16(x87291,f341(f341(f3(f889(x87291,a874)),x87292),f341(f341(f318(x87291),x87293),f193(f889(x87291,a874)))))),f16(x87291,x87292)) % 197.39/197.44 [8730]~P101(x87301)+~P1(f341(f72(x87301),x87302))+E(f341(f341(f3(f889(x87301,a874)),x87302),f341(f341(f318(x87301),x87303),f193(f889(x87301,a874)))),f193(f889(x87301,a874)))+~P1(f341(f341(f344(x87301),x87303),x87302))+E(f341(f341(f192(x87301),x87303),f17(x87301,f341(f341(f3(f889(x87301,a874)),x87302),f341(f341(f318(x87301),x87303),f193(f889(x87301,a874)))))),f17(x87301,x87302)) % 197.39/197.44 [8790]~P101(x87901)+~P1(f341(f72(x87901),x87902))+E(f341(f341(f3(f889(x87901,a874)),x87902),f341(f341(f318(x87901),x87903),f193(f889(x87901,a874)))),f193(f889(x87901,a874)))+~P1(f341(f341(f344(x87901),x87903),x87902))+E(f341(f341(f246(x87901),x87903),f14(x87901,f246(x87901),f341(f341(f3(f889(x87901,a874)),x87902),f341(f341(f318(x87901),x87903),f193(f889(x87901,a874)))))),f14(x87901,f246(x87901),x87902)) % 197.39/197.44 [8791]~P101(x87911)+~P1(f341(f72(x87911),x87912))+E(f341(f341(f3(f889(x87911,a874)),x87912),f341(f341(f318(x87911),x87913),f193(f889(x87911,a874)))),f193(f889(x87911,a874)))+~P1(f341(f341(f344(x87911),x87913),x87912))+E(f341(f341(f192(x87911),x87913),f15(x87911,f192(x87911),f341(f341(f3(f889(x87911,a874)),x87912),f341(f341(f318(x87911),x87913),f193(f889(x87911,a874)))))),f15(x87911,f192(x87911),x87912)) % 197.39/197.44 [8809]~P101(x88091)+~P1(f341(f72(x88091),x88093))+~P1(f341(f72(x88091),x88092))+E(f341(f341(f126(f889(x88091,a874)),x88092),x88093),f193(f889(x88091,a874)))+E(f341(f341(f246(x88091),f16(x88091,f341(f341(f125(f889(x88091,a874)),x88092),x88093))),f16(x88091,f341(f341(f126(f889(x88091,a874)),x88092),x88093))),f341(f341(f246(x88091),f16(x88091,x88092)),f16(x88091,x88093))) % 197.39/197.44 [8810]~P101(x88101)+~P1(f341(f72(x88101),x88103))+~P1(f341(f72(x88101),x88102))+E(f341(f341(f126(f889(x88101,a874)),x88102),x88103),f193(f889(x88101,a874)))+E(f341(f341(f192(x88101),f17(x88101,f341(f341(f125(f889(x88101,a874)),x88102),x88103))),f17(x88101,f341(f341(f126(f889(x88101,a874)),x88102),x88103))),f341(f341(f192(x88101),f17(x88101,x88102)),f17(x88101,x88103))) % 197.39/197.44 [8811]~P95(x88111)+~P1(f341(f72(x88111),x88113))+~P1(f341(f72(x88111),x88112))+E(f341(f341(f126(f889(x88111,a874)),x88112),x88113),f193(f889(x88111,a874)))+E(f341(f341(f125(x88111),f12(x88111,f341(f341(f125(f889(x88111,a874)),x88112),x88113))),f12(x88111,f341(f341(f126(f889(x88111,a874)),x88112),x88113))),f341(f341(f125(x88111),f12(x88111,x88112)),f12(x88111,x88113))) % 197.39/197.44 [8812]~P95(x88121)+~P1(f341(f72(x88121),x88123))+~P1(f341(f72(x88121),x88122))+E(f341(f341(f126(f889(x88121,a874)),x88122),x88123),f193(f889(x88121,a874)))+E(f341(f341(f126(x88121),f13(x88121,f341(f341(f125(f889(x88121,a874)),x88122),x88123))),f13(x88121,f341(f341(f126(f889(x88121,a874)),x88122),x88123))),f341(f341(f126(x88121),f13(x88121,x88122)),f13(x88121,x88123))) % 197.39/197.44 [9031]~P101(x90311)+~P1(f341(f72(x90311),x90313))+~P1(f341(f72(x90311),x90312))+E(f341(f341(f126(f889(x90311,a874)),x90312),x90313),f193(f889(x90311,a874)))+E(f341(f341(f246(x90311),f14(x90311,f246(x90311),f341(f341(f125(f889(x90311,a874)),x90312),x90313))),f14(x90311,f246(x90311),f341(f341(f126(f889(x90311,a874)),x90312),x90313))),f341(f341(f246(x90311),f14(x90311,f246(x90311),x90312)),f14(x90311,f246(x90311),x90313))) % 197.39/197.44 [9032]~P101(x90321)+~P1(f341(f72(x90321),x90323))+~P1(f341(f72(x90321),x90322))+E(f341(f341(f126(f889(x90321,a874)),x90322),x90323),f193(f889(x90321,a874)))+E(f341(f341(f192(x90321),f15(x90321,f192(x90321),f341(f341(f125(f889(x90321,a874)),x90322),x90323))),f15(x90321,f192(x90321),f341(f341(f126(f889(x90321,a874)),x90322),x90323))),f341(f341(f192(x90321),f15(x90321,f192(x90321),x90322)),f15(x90321,f192(x90321),x90323))) % 197.39/197.44 [9795]~P121(x97953)+E(x97951,x97952)+~P1(f341(f341(f241(x97953),f2(x97953)),x97952))+~P1(f341(f341(f241(x97953),f2(x97953)),x97951))+~E(f341(f341(f251(x97953),x97951),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)))),f341(f341(f251(x97953),x97952),f341(f118(a881),f341(f341(f91(a1),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100)),f341(f341(f3(a1),f341(f341(f91(a1),a94),a94)),a100))))) % 197.39/197.44 [5853]~P59(x58532)+E(x58531,f2(x58532))+~E(f341(f341(f38(x58532),x58533),x58531),x58534)+E(x58533,f341(f341(f92(x58532),x58534),x58531))+~P1(f341(f341(f294(x58532),x58531),x58533)) % 197.39/197.44 [5854]~P59(x58542)+E(x58541,f2(x58542))+~E(x58543,f341(f341(f92(x58542),x58544),x58541))+E(f341(f341(f38(x58542),x58543),x58541),x58544)+~P1(f341(f341(f294(x58542),x58541),x58543)) % 197.39/197.44 [6318]E(f605(x63181,x63182,x63183),x63184)+E(f341(x63181,x63184),f2(a881))+~E(f341(f341(f8(x63183,a881),x63181),x63182),f89(a881))+~P1(f341(f72(x63183),x63182))+~P1(f341(f341(f344(x63183),x63184),x63182)) % 197.39/197.44 [6393]E(f607(x63931,x63932,x63933),x63934)+E(f341(x63931,x63934),f2(a881))+~E(f341(f341(f8(x63933,a881),x63931),x63932),f341(a128,f2(a881)))+~P1(f341(f72(x63933),x63932))+~P1(f341(f341(f344(x63933),x63934),x63932)) % 197.39/197.44 [6504]~P101(x65041)+~P8(x65041)+P1(f341(f341(f242(x65041),x65042),f39(x65041,x65043)))+~P1(f341(f341(f242(x65041),x65042),x65044))+~P1(f341(f341(f344(x65041),x65044),x65043)) % 197.39/197.44 [6684]~P101(x66841)+~P8(x66841)+~P1(f341(f341(f242(x66841),x66844),x66843))+P1(f341(f341(f242(x66841),f40(x66841,x66842)),x66843))+~P1(f341(f341(f344(x66841),x66844),x66842)) % 197.39/197.44 [6953]~P121(x69533)+E(x69531,x69532)+~E(f341(f341(f251(x69533),x69531),f341(a128,x69534)),f341(f341(f251(x69533),x69532),f341(a128,x69534)))+~P1(f341(f341(f241(x69533),f2(x69533)),x69532))+~P1(f341(f341(f241(x69533),f2(x69533)),x69531)) % 197.39/197.44 [7168]~E(f610(x71682,x71683,x71681,x71684),x71684)+~E(f341(x71682,x71684),f89(a881))+E(f341(f341(f8(x71681,a881),x71682),x71683),f89(a881))+~P1(f341(f72(x71681),x71683))+~P1(f341(f341(f344(x71681),x71684),x71683)) % 197.39/197.44 [7176]~P108(x71764)+~P127(x71764)+E(f341(x71761,f611(x71761,x71762,x71763,x71764)),f2(x71764))+~E(f341(f341(f11(x71763,x71764),x71761),x71762),f2(x71764))+~P1(f341(f72(x71763),x71762)) % 197.39/197.44 [7254]~E(f608(x72542,x72543,x72541,x72544),x72544)+~E(f341(x72542,x72544),f341(a128,f2(a881)))+E(f341(f341(f8(x72541,a881),x72542),x72543),f341(a128,f2(a881)))+~P1(f341(f72(x72541),x72543))+~P1(f341(f341(f344(x72541),x72544),x72543)) % 197.39/197.44 [7979]~E(f341(x79792,x79794),f89(a881))+~E(f341(x79792,f610(x79792,x79793,x79791,x79794)),f2(a881))+E(f341(f341(f8(x79791,a881),x79792),x79793),f89(a881))+~P1(f341(f72(x79791),x79793))+~P1(f341(f341(f344(x79791),x79794),x79793)) % 197.39/197.44 [8023]~E(f341(x80232,x80234),f341(a128,f2(a881)))+~E(f341(x80232,f608(x80232,x80233,x80231,x80234)),f2(a881))+E(f341(f341(f8(x80231,a881),x80232),x80233),f341(a128,f2(a881)))+~P1(f341(f72(x80231),x80233))+~P1(f341(f341(f344(x80231),x80234),x80233)) % 197.39/197.44 [8110]~P139(x81102)+~P117(x81102)+~P1(f341(x81101,x81104))+~P1(f341(f341(f294(x81102),x81103),f341(f341(f91(x81102),x81104),f2(x81102))))+P1(f341(x81101,f341(f341(f92(x81102),x81103),f430(x81103,x81101,x81102)))) % 197.39/197.44 [8591]~P101(x85911)+~P16(x85911,x85914)+P16(x85911,x85912)+~E(x85912,f341(f341(f156(x85911),x85913),x85914))+~P1(f341(f341(f241(x85911),x85913),f764(x85912,x85911,x85914,x85913))) % 197.39/197.44 [8620]E(x86201,x86202)+E(f341(f341(f91(a1),f563(x86203,x86202,x86204,x86201)),f564(x86203,x86202,x86204,x86201)),x86201)+~E(f341(f341(f3(a1),x86201),x86204),x86202)+~P1(f341(f341(f242(a1),f2(a1)),x86204))+~P1(f341(f341(f344(a1),x86202),x86203)) % 197.39/197.44 [8621]E(x86211,x86212)+E(f341(f341(f3(a1),f565(x86213,x86212,x86214,x86211)),f566(x86213,x86212,x86214,x86211)),x86211)+~E(f341(f341(f91(a1),x86211),x86214),x86212)+~P1(f341(f341(f242(a1),f2(a1)),x86214))+~P1(f341(f341(f344(a1),x86212),x86213)) % 197.39/197.44 [8805]E(f341(x88051,f386(x88052,x88051,x88053,x88054)),x88052)+P1(f341(f341(f241(a881),x88054),f387(x88052,x88051,x88053,x88054)))+~P1(f341(f341(f241(a1),x88052),f341(x88051,x88053)))+~P1(f341(f341(f242(a881),x88054),x88053))+~P1(f341(f341(f241(a1),f341(x88051,x88054)),x88052)) % 197.39/197.44 [8808]~P101(x88081)+~P16(x88081,x88083)+P16(x88081,x88082)+~E(x88082,f341(f341(f156(x88081),x88084),x88083))+P1(f341(f341(f344(x88081),f764(x88082,x88081,x88083,x88084)),f341(f176(x88081),x88083))) % 197.39/197.44 [8825]~P108(x88254)+~P127(x88254)+~E(f341(f341(f11(x88251,x88254),x88252),x88253),f2(x88254))+~P1(f341(f72(x88251),x88253))+P1(f341(f341(f344(x88251),f611(x88252,x88253,x88251,x88254)),x88253)) % 197.39/197.44 [8869]~E(f341(x88692,x88694),f89(a881))+E(f341(f341(f8(x88691,a881),x88692),x88693),f89(a881))+~P1(f341(f72(x88691),x88693))+~P1(f341(f341(f344(x88691),x88694),x88693))+P1(f341(f341(f344(x88691),f610(x88692,x88693,x88691,x88694)),x88693)) % 197.39/197.44 [8883]E(x88831,x88832)+~E(f341(f341(f91(a1),x88832),x88834),x88831)+~P1(f341(f341(f242(a1),f2(a1)),x88834))+~P1(f341(f341(f344(a1),x88831),x88833))+P1(f341(f341(f344(a1),f565(x88833,x88831,x88834,x88832)),x88833)) % 197.39/197.44 [8884]E(x88841,x88842)+~E(f341(f341(f3(a1),x88842),x88844),x88841)+~P1(f341(f341(f242(a1),f2(a1)),x88844))+~P1(f341(f341(f344(a1),x88841),x88843))+P1(f341(f341(f344(a1),f563(x88843,x88841,x88844,x88842)),x88843)) % 197.39/197.44 [8886]~E(f341(x88862,x88864),f341(a128,f2(a881)))+E(f341(f341(f8(x88861,a881),x88862),x88863),f341(a128,f2(a881)))+~P1(f341(f72(x88861),x88863))+~P1(f341(f341(f344(x88861),x88864),x88863))+P1(f341(f341(f344(x88861),f608(x88862,x88863,x88861,x88864)),x88863)) % 197.39/197.44 [8889]P57(x88892,x88893,x88894,x88891)+E(x88891,f193(f889(x88892,a874)))+~P1(f341(f72(x88892),x88894))+~P1(f341(f72(x88892),x88891))+P1(f341(f341(f344(x88892),f648(x88893,x88891,x88894,x88892)),x88894)) % 197.39/197.44 [8890]P57(x88902,x88903,x88904,x88901)+E(x88901,f193(f889(x88902,a874)))+~P1(f341(f72(x88902),x88904))+~P1(f341(f72(x88902),x88901))+P1(f341(f341(f344(x88902),f669(x88901,x88904,x88903,x88902)),x88904)) % 197.39/197.44 [8891]P57(x88912,x88913,x88914,x88911)+E(x88911,f193(f889(x88912,a874)))+~P1(f341(f72(x88912),x88914))+~P1(f341(f72(x88912),x88911))+P1(f341(f341(f344(x88912),f798(x88911,x88914,x88913,x88912)),x88914)) % 197.39/197.44 [8959]E(x89591,x89592)+~E(f341(f341(f91(a1),x89592),x89594),x89591)+~P1(f341(f341(f242(a1),f2(a1)),x89594))+~P1(f341(f341(f344(a1),x89591),x89593))+P1(f341(f341(f344(a1),f566(x89593,x89591,x89594,x89592)),f310(a1,f89(a1),x89594))) % 197.39/197.44 [8960]E(x89601,x89602)+~E(f341(f341(f3(a1),x89602),x89604),x89601)+~P1(f341(f341(f242(a1),f2(a1)),x89604))+~P1(f341(f341(f344(a1),x89601),x89603))+P1(f341(f341(f344(a1),f564(x89603,x89601,x89604,x89602)),f310(a1,f89(a1),x89604))) % 197.39/197.44 [9035]P1(f341(f341(f241(a881),x90351),f386(x90352,x90353,x90354,x90351)))+~P1(f341(f341(f241(a1),x90352),f341(x90353,x90354)))+P1(f341(f341(f241(a881),x90351),f387(x90352,x90353,x90354,x90351)))+~P1(f341(f341(f242(a881),x90351),x90354))+~P1(f341(f341(f241(a1),f341(x90353,x90351)),x90352)) % 197.39/197.44 [9143]E(f341(x91431,f386(x91432,x91431,x91433,x91434)),x91432)+~P1(f341(f341(f241(a1),x91432),f341(x91431,x91433)))+P1(f341(f341(f242(a881),f387(x91432,x91431,x91433,x91434)),x91433))+~P1(f341(f341(f242(a881),x91434),x91433))+~P1(f341(f341(f241(a1),f341(x91431,x91434)),x91432)) % 197.39/197.44 [9259]~P1(f341(f341(f294(a881),x92594),x92591))+~P1(f341(f341(f294(a881),x92594),x92593))+~P1(f341(f341(f294(a881),x92592),x92591))+P1(f341(f341(f294(a881),x92591),x92592))+P1(f341(f341(f242(f889(a881,a874)),f297(a881,f294(a881),x92593,x92592)),f297(a881,f294(a881),x92594,x92591))) % 197.39/197.44 [9260]~P1(f341(f341(f294(a881),x92602),x92601))+~P1(f341(f341(f294(a881),x92603),x92604))+~P1(f341(f341(f294(a881),x92602),x92604))+P1(f341(f341(f294(a881),x92601),x92602))+P1(f341(f341(f242(f889(a881,a874)),f297(a881,f294(a881),x92601,x92603)),f297(a881,f294(a881),x92602,x92604))) % 197.39/197.44 [9280]~P1(f341(f341(f241(a1),x92802),f341(x92803,x92804)))+P1(f341(f341(f241(a881),x92801),f387(x92802,x92803,x92804,x92801)))+P1(f341(f341(f241(a881),f386(x92802,x92803,x92804,x92801)),x92804))+~P1(f341(f341(f242(a881),x92801),x92804))+~P1(f341(f341(f241(a1),f341(x92803,x92801)),x92802)) % 197.39/197.44 [9281]~P1(f341(f341(f241(a1),x92812),f341(x92813,x92814)))+P1(f341(f341(f241(a881),x92811),f386(x92812,x92813,x92814,x92811)))+P1(f341(f341(f242(a881),f387(x92812,x92813,x92814,x92811)),x92814))+~P1(f341(f341(f242(a881),x92811),x92814))+~P1(f341(f341(f241(a1),f341(x92813,x92811)),x92812)) % 197.39/197.44 [9371]~P1(f341(f341(f241(a1),x93711),f341(x93712,x93713)))+P1(f341(f341(f241(a881),f386(x93711,x93712,x93713,x93714)),x93713))+~P1(f341(f341(f242(a881),x93714),x93713))+~P1(f341(f341(f241(a1),f341(x93712,x93714)),x93711))+P1(f341(f341(f242(a881),f387(x93711,x93712,x93713,x93714)),x93713)) % 197.39/197.44 [9461]E(x94611,f193(f889(x94612,a874)))+~P1(f341(f72(x94612),x94614))+~P1(f341(f72(x94612),x94611))+P1(f341(f341(f344(f888(f889(x94612,a874),f889(x94612,a874))),f341(f341(f257(f889(x94612,a874),f889(x94612,a874)),x94614),x94611)),f332(x94612,x94613)))+P1(f341(f341(f344(x94612),f809(x94613,x94611,x94614,x94612)),x94614)) % 197.39/197.44 [10157]E(f341(x101571,f386(x101572,x101571,x101573,x101574)),x101572)+~P1(f341(f341(f241(a1),x101572),f341(x101571,x101573)))+~P1(f341(f341(f241(a1),f341(f85(a1),f341(f341(f3(a1),f341(x101571,f341(f341(f91(a881),f387(x101572,x101571,x101573,x101574)),f89(a881)))),f341(x101571,f387(x101572,x101571,x101573,x101574))))),f89(a1)))+~P1(f341(f341(f242(a881),x101574),x101573))+~P1(f341(f341(f241(a1),f341(x101571,x101574)),x101572)) % 197.39/197.44 [10158]~P1(f341(f341(f241(a1),x101582),f341(x101583,x101584)))+P1(f341(f341(f241(a881),x101581),f386(x101582,x101583,x101584,x101581)))+~P1(f341(f341(f241(a1),f341(f85(a1),f341(f341(f3(a1),f341(x101583,f341(f341(f91(a881),f387(x101582,x101583,x101584,x101581)),f89(a881)))),f341(x101583,f387(x101582,x101583,x101584,x101581))))),f89(a1)))+~P1(f341(f341(f242(a881),x101581),x101584))+~P1(f341(f341(f241(a1),f341(x101583,x101581)),x101582)) % 197.39/197.44 [10159]~P1(f341(f341(f241(a1),x101591),f341(x101592,x101593)))+~P1(f341(f341(f241(a1),f341(f85(a1),f341(f341(f3(a1),f341(x101592,f341(f341(f91(a881),f387(x101591,x101592,x101593,x101594)),f89(a881)))),f341(x101592,f387(x101591,x101592,x101593,x101594))))),f89(a1)))+~P1(f341(f341(f242(a881),x101594),x101593))+~P1(f341(f341(f241(a1),f341(x101592,x101594)),x101591))+P1(f341(f341(f241(a881),f386(x101591,x101592,x101593,x101594)),x101593)) % 197.39/197.44 [7222]~P65(x72221)+P1(f341(f341(f242(x72221),x72222),f2(x72221)))+~P1(f341(f341(f242(x72221),x72223),f2(x72221)))+P1(f341(f341(f242(x72221),f2(x72221)),x72222))+P1(f341(f341(f242(x72221),x72223),f341(f341(f298(x72221),x72224),x72222))) % 197.39/197.44 [7223]~P65(x72231)+P1(f341(f341(f242(x72231),x72232),f2(x72231)))+~P1(f341(f341(f241(x72231),x72233),f2(x72231)))+P1(f341(f341(f242(x72231),f2(x72231)),x72232))+P1(f341(f341(f241(x72231),x72233),f341(f341(f298(x72231),x72234),x72232))) % 197.39/197.44 [7462]~P65(x74621)+P1(f341(f341(f242(x74621),x74622),f2(x74621)))+P1(f341(f341(f242(x74621),x74623),f2(x74621)))+P1(f341(f341(f242(x74621),f2(x74621)),x74623))+~P1(f341(f341(f242(x74621),x74622),f341(f341(f298(x74621),x74624),x74623))) % 197.39/197.44 [7463]~P65(x74631)+P1(f341(f341(f242(x74631),x74632),f2(x74631)))+P1(f341(f341(f241(x74631),x74633),f2(x74631)))+P1(f341(f341(f242(x74631),f2(x74631)),x74632))+~P1(f341(f341(f241(x74631),x74633),f341(f341(f298(x74631),x74634),x74632))) % 197.39/197.44 [7582]E(x75821,x75822)+~E(f341(f341(f169(x75823),x75824),x75821),f341(f341(f169(x75823),x75824),x75822))+~P1(f341(f142(x75823),x75824))+~P1(f341(f341(f242(a881),x75822),f341(f194(f883(x75823)),x75824)))+~P1(f341(f341(f242(a881),x75821),f341(f194(f883(x75823)),x75824))) % 197.39/197.44 [7939]~P65(x79391)+~P1(f341(f341(f242(x79391),x79393),f2(x79391)))+P1(f341(f341(f242(x79391),f2(x79391)),x79392))+~P1(f341(f341(f242(x79391),x79394),f341(f341(f92(x79391),x79393),x79392)))+P1(f341(f341(f242(x79391),x79393),f341(f341(f298(x79391),x79394),x79392))) % 197.39/197.44 [7940]~P65(x79401)+~P1(f341(f341(f241(x79401),x79403),f2(x79401)))+P1(f341(f341(f242(x79401),f2(x79401)),x79402))+~P1(f341(f341(f241(x79401),x79404),f341(f341(f92(x79401),x79403),x79402)))+P1(f341(f341(f241(x79401),x79403),f341(f341(f298(x79401),x79404),x79402))) % 197.39/197.44 [7941]~P65(x79411)+~P1(f341(f341(f242(x79411),x79412),f2(x79411)))+P1(f341(f341(f242(x79411),f2(x79411)),x79412))+~P1(f341(f341(f242(x79411),x79414),f341(f341(f92(x79411),x79413),x79412)))+P1(f341(f341(f242(x79411),x79413),f341(f341(f298(x79411),x79414),x79412))) % 197.39/197.44 [7942]~P65(x79421)+~P1(f341(f341(f242(x79421),x79422),f2(x79421)))+P1(f341(f341(f242(x79421),f2(x79421)),x79422))+~P1(f341(f341(f242(x79421),x79424),f341(f341(f298(x79421),x79423),x79422)))+P1(f341(f341(f242(x79421),x79423),f341(f341(f92(x79421),x79424),x79422))) % 197.39/197.44 [7943]~P65(x79431)+~P1(f341(f341(f242(x79431),x79432),f2(x79431)))+P1(f341(f341(f242(x79431),f2(x79431)),x79432))+~P1(f341(f341(f241(x79431),x79434),f341(f341(f92(x79431),x79433),x79432)))+P1(f341(f341(f241(x79431),x79433),f341(f341(f298(x79431),x79434),x79432))) % 197.39/197.44 [7944]~P65(x79441)+~P1(f341(f341(f242(x79441),x79442),f2(x79441)))+P1(f341(f341(f242(x79441),f2(x79441)),x79442))+~P1(f341(f341(f241(x79441),x79444),f341(f341(f298(x79441),x79443),x79442)))+P1(f341(f341(f241(x79441),x79443),f341(f341(f92(x79441),x79444),x79442))) % 197.39/197.44 [8077]~P59(x80771)+~P1(f341(f341(f294(x80771),x80773),x80774))+~P1(f341(f341(f294(x80771),x80773),x80772))+~P1(f341(f341(f294(x80771),x80772),x80774))+P1(f341(f341(f294(x80771),f341(f341(f38(x80771),x80772),x80773)),f341(f341(f38(x80771),x80774),x80773))) % 197.39/197.44 [8093]~P101(x80931)+~P16(x80931,x80932)+~P1(f341(f341(f241(a881),x80933),x80934))+P1(f341(f341(f241(x80931),f341(f341(f169(x80931),x80932),x80933)),f341(f341(f169(x80931),x80932),x80934)))+~P1(f341(f341(f242(a881),x80934),f341(f194(f883(x80931)),x80932))) % 197.39/197.44 [8146]~P121(x81461)+~P1(f341(f341(f242(x81461),x81462),f89(x81461)))+~P1(f341(f341(f242(x81461),f2(x81461)),x81462))+~P1(f341(f341(f242(a881),x81464),x81463))+P1(f341(f341(f242(x81461),f341(f341(f251(x81461),x81462),x81463)),f341(f341(f251(x81461),x81462),x81464))) % 197.39/197.44 [8147]~P121(x81471)+~P1(f341(f341(f241(x81471),x81472),f89(x81471)))+~P1(f341(f341(f241(x81471),f2(x81471)),x81472))+~P1(f341(f341(f241(a881),x81474),x81473))+P1(f341(f341(f241(x81471),f341(f341(f251(x81471),x81472),x81473)),f341(f341(f251(x81471),x81472),x81474))) % 197.39/197.44 [8148]~P121(x81481)+~P1(f341(f341(f241(x81481),f2(x81481)),x81482))+~P1(f341(f341(f242(a881),f2(a881)),x81483))+~P1(f341(f341(f242(x81481),x81482),x81484))+P1(f341(f341(f242(x81481),f341(f341(f251(x81481),x81482),x81483)),f341(f341(f251(x81481),x81484),x81483))) % 197.39/197.44 [8168]~P101(x81681)+~P16(x81681,f341(f173(x81681),x81682))+~P1(f341(f341(f241(a881),x81684),x81683))+P1(f341(f341(f241(x81681),f341(f341(f169(x81681),x81682),x81683)),f341(f341(f169(x81681),x81682),x81684)))+~P1(f341(f341(f242(a881),x81683),f341(f194(f883(x81681)),x81682))) % 197.39/197.44 [8390]~P59(x83901)+P1(f341(f341(f294(x83901),x83902),x83903))+~P1(f341(f341(f294(x83901),x83904),x83903))+~P1(f341(f341(f294(x83901),x83904),x83902))+~P1(f341(f341(f294(x83901),f341(f341(f38(x83901),x83902),x83904)),f341(f341(f38(x83901),x83903),x83904))) % 197.39/197.44 [8413]~P66(x84131)+~P1(f341(f341(f242(x84131),x84132),f2(x84131)))+~P1(f341(f341(f242(x84131),x84133),x84134))+~P1(f341(f341(f242(x84131),f2(x84131)),f341(f341(f92(x84131),x84133),x84134)))+P1(f341(f341(f242(x84131),f341(f341(f298(x84131),x84132),x84133)),f341(f341(f298(x84131),x84132),x84134))) % 197.39/197.44 [8414]~P65(x84141)+~P1(f341(f341(f241(x84141),x84142),f2(x84141)))+~P1(f341(f341(f241(x84141),x84143),x84144))+~P1(f341(f341(f242(x84141),f2(x84141)),f341(f341(f92(x84141),x84143),x84144)))+P1(f341(f341(f241(x84141),f341(f341(f298(x84141),x84142),x84143)),f341(f341(f298(x84141),x84142),x84144))) % 197.39/197.44 [8423]~P66(x84231)+~P1(f341(f341(f242(x84231),x84234),x84233))+~P1(f341(f341(f242(x84231),f2(x84231)),x84232))+~P1(f341(f341(f242(x84231),f2(x84231)),f341(f341(f92(x84231),x84233),x84234)))+P1(f341(f341(f242(x84231),f341(f341(f298(x84231),x84232),x84233)),f341(f341(f298(x84231),x84232),x84234))) % 197.39/197.44 [8424]~P66(x84241)+~P1(f341(f341(f241(x84241),x84244),x84243))+~P1(f341(f341(f241(x84241),f2(x84241)),x84242))+~P1(f341(f341(f242(x84241),f2(x84241)),f341(f341(f92(x84241),x84243),x84244)))+P1(f341(f341(f241(x84241),f341(f341(f298(x84241),x84242),x84243)),f341(f341(f298(x84241),x84242),x84244))) % 197.39/197.44 [8535]P1(f341(x85351,x85352))+~P1(f341(f72(x85354),x85352))+P1(f341(x85351,f768(x85351,x85353,x85352,x85354)))+~P1(f341(x85351,f193(f889(x85354,a874))))+~P1(f341(f341(f241(f889(x85354,a874)),x85352),x85353)) % 197.39/197.44 [8541]P1(f341(x85411,x85412))+P1(f341(f72(x85413),f768(x85411,x85414,x85412,x85413)))+~P1(f341(f72(x85413),x85412))+~P1(f341(x85411,f193(f889(x85413,a874))))+~P1(f341(f341(f241(f889(x85413,a874)),x85412),x85414)) % 197.39/197.44 [8797]E(f341(f341(f91(a1),f567(x87971,x87972,x87973,x87974)),f568(x87971,x87972,x87973,x87974)),x87974)+~P1(f341(f341(f242(a1),f2(a1)),x87973))+~P1(f341(f341(f242(a1),x87972),x87974))+~P1(f341(f341(f344(a1),x87972),x87971))+P1(f341(f341(f242(a1),x87972),f341(f341(f3(a1),x87974),x87973))) % 197.39/197.44 [9016]~P1(f341(f341(f242(a1),f2(a1)),x90163))+~P1(f341(f341(f242(a1),x90162),x90164))+~P1(f341(f341(f344(a1),x90162),x90161))+P1(f341(f341(f344(a1),f567(x90161,x90162,x90163,x90164)),x90161))+P1(f341(f341(f242(a1),x90162),f341(f341(f3(a1),x90164),x90163))) % 197.39/197.44 [9030]P1(f341(x90301,x90302))+~P1(f341(f72(x90303),x90302))+P1(f341(f341(f344(x90303),f769(x90301,x90304,x90302,x90303)),x90304))+~P1(f341(x90301,f193(f889(x90303,a874))))+~P1(f341(f341(f241(f889(x90303,a874)),x90302),x90304)) % 197.39/197.44 [9044]E(f341(f341(f91(a1),f557(x90441,x90442,x90443,x90444)),f558(x90441,x90442,x90443,x90444)),x90444)+~P1(f341(f341(f242(a1),f2(a1)),x90443))+~P1(f341(f341(f241(a1),x90442),x90444))+P1(f341(f341(f241(a1),x90442),f341(f341(f3(a1),x90444),x90443)))+~P1(f341(f341(f344(a1),f341(f341(f3(a1),x90442),f89(a1))),x90441)) % 197.39/197.44 [9092]~P1(f341(f341(f242(a1),f2(a1)),x90923))+~P1(f341(f341(f242(a1),x90921),x90922))+~P1(f341(f341(f344(a1),x90921),x90924))+P1(f341(f341(f344(a1),f568(x90924,x90921,x90923,x90922)),f310(a1,f89(a1),x90923)))+P1(f341(f341(f242(a1),x90921),f341(f341(f3(a1),x90922),x90923))) % 197.39/197.44 [9189]~P1(f341(f341(f242(a1),f2(a1)),x91893))+~P1(f341(f341(f241(a1),x91892),x91894))+P1(f341(f341(f344(a1),f557(x91891,x91892,x91893,x91894)),x91891))+P1(f341(f341(f241(a1),x91892),f341(f341(f3(a1),x91894),x91893)))+~P1(f341(f341(f344(a1),f341(f341(f3(a1),x91892),f89(a1))),x91891)) % 197.39/197.44 [9231]~P1(f341(f341(f242(a1),f2(a1)),x92313))+~P1(f341(f341(f241(a1),x92311),x92312))+P1(f341(f341(f344(a1),f558(x92314,x92311,x92313,x92312)),f310(a1,f89(a1),x92313)))+P1(f341(f341(f241(a1),x92311),f341(f341(f3(a1),x92312),x92313)))+~P1(f341(f341(f344(a1),f341(f341(f3(a1),x92311),f89(a1))),x92314)) % 197.39/197.44 [9464]P1(f341(x94641,x94642))+~P1(f341(f341(f344(x94643),f769(x94641,x94644,x94642,x94643)),f768(x94641,x94644,x94642,x94643)))+~P1(f341(f72(x94643),x94642))+~P1(f341(x94641,f193(f889(x94643,a874))))+~P1(f341(f341(f241(f889(x94643,a874)),x94642),x94644)) % 197.39/197.44 [9668]P1(f341(x96681,x96682))+~P1(f341(f72(x96683),x96682))+~P1(f341(x96681,f341(f341(f318(x96683),f769(x96681,x96684,x96682,x96683)),f768(x96681,x96684,x96682,x96683))))+~P1(f341(x96681,f193(f889(x96683,a874))))+~P1(f341(f341(f241(f889(x96683,a874)),x96682),x96684)) % 197.39/197.44 [9988]~P105(x99883)+~P45(a881,x99883,f341(f341(f20(a881,f889(a881,a874),f889(a881,a874)),f341(f341(f10(f889(a881,f889(a874,a874)),f889(f889(a881,a874),f889(a881,a874)),a881),f20(a881,a874,a874)),f341(f341(f10(f889(a881,a874),f889(a881,f889(a874,a874)),a881),f341(f10(a874,f889(a874,a874),a881),a339)),f294(a881)))),f341(f341(f10(f889(a881,a874),f889(a881,a874),a881),f341(f10(a874,a874,a881),a336)),f341(f9(a881,a881,a874),f294(a881)))),x99884)+P1(f341(f341(f242(x99883),f341(x99884,x99882)),f341(x99884,x99881)))+~P1(f341(f341(f294(a881),x99882),x99881))+P1(f341(f341(f294(a881),x99881),x99882)) % 197.39/197.44 [7721]~P65(x77211)+P1(f341(f341(f242(x77211),x77212),f2(x77211)))+P1(f341(f341(f242(x77211),f2(x77211)),x77212))+~P1(f341(f341(f242(x77211),f2(x77211)),x77214))+P1(f341(f341(f242(x77211),f341(f341(f298(x77211),x77213),x77212)),x77214)) % 197.39/197.44 [7722]~P65(x77221)+P1(f341(f341(f242(x77221),x77222),f2(x77221)))+~P1(f341(f341(f241(x77221),f2(x77221)),x77224))+P1(f341(f341(f242(x77221),f2(x77221)),x77222))+P1(f341(f341(f241(x77221),f341(f341(f298(x77221),x77223),x77222)),x77224)) % 197.39/197.44 [7926]~P8(x79261)+~P35(x79261,x79261,x79264)+~E(x79263,f113(x79261,x79264))+P1(f341(f341(f241(x79261),x79262),x79263))+~P1(f341(f341(f241(x79261),x79262),f341(x79264,f341(f341(f125(x79261),x79262),x79263)))) % 197.39/197.44 [7996]~P1(f341(f341(f241(a1),x79964),f2(a1)))+~E(x79962,f341(f341(f91(a1),f341(f341(f92(a1),x79961),x79963)),x79964))+P1(f341(f341(f242(a1),f2(a1)),x79961))+~P1(f341(f341(f242(a1),x79961),x79964))+P1(f341(f61(x79962,x79961),f341(f341(f257(a1,a1),x79963),x79964))) % 197.39/197.44 [8034]~P1(f341(x80341,x80344))+P1(f341(x80341,f352(x80342,x80341,x80343)))+~P1(f341(f341(f242(a1),f2(a1)),x80343))+~P1(f341(f341(f241(a1),f2(a1)),x80342))+P1(f341(x80341,f341(f341(f3(a1),x80344),f341(f341(f92(a1),x80342),x80343)))) % 197.39/197.44 [8035]~P1(f341(x80351,x80354))+P1(f341(x80351,f360(x80352,x80351,x80353)))+~P1(f341(f341(f242(a1),f2(a1)),x80353))+~P1(f341(f341(f241(a1),f2(a1)),x80352))+P1(f341(x80351,f341(f341(f91(a1),x80354),f341(f341(f92(a1),x80352),x80353)))) % 197.39/197.44 [8036]~P65(x80361)+P1(f341(f341(f242(x80361),x80362),f2(x80361)))+P1(f341(f341(f242(x80361),f2(x80361)),x80362))+P1(f341(f341(f242(x80361),f2(x80361)),x80363))+~P1(f341(f341(f242(x80361),f341(f341(f298(x80361),x80364),x80362)),x80363)) % 197.39/197.44 [8037]~P65(x80371)+P1(f341(f341(f242(x80371),x80372),f2(x80371)))+P1(f341(f341(f242(x80371),f2(x80371)),x80372))+P1(f341(f341(f241(x80371),f2(x80371)),x80373))+~P1(f341(f341(f241(x80371),f341(f341(f298(x80371),x80374),x80372)),x80373)) % 197.39/197.44 [8087]~E(x80871,f341(f341(f91(a1),f341(f341(f92(a1),x80872),x80873)),x80874))+~P1(f341(f341(f242(a1),f2(a1)),x80872))+~P1(f341(f341(f241(a1),f2(a1)),x80874))+~P1(f341(f341(f242(a1),x80874),x80872))+P1(f341(f61(x80871,x80872),f341(f341(f257(a1,a1),x80873),x80874))) % 197.39/197.44 [8211]~P65(x82111)+P1(f341(f341(f242(x82111),x82112),f2(x82111)))+~P1(f341(f341(f242(x82111),f2(x82111)),x82114))+~P1(f341(f341(f242(x82111),x82113),f341(f341(f92(x82111),x82114),x82112)))+P1(f341(f341(f242(x82111),f341(f341(f298(x82111),x82113),x82112)),x82114)) % 197.39/197.44 [8212]~P65(x82121)+P1(f341(f341(f242(x82121),x82122),f2(x82121)))+~P1(f341(f341(f241(x82121),f2(x82121)),x82124))+~P1(f341(f341(f241(x82121),x82123),f341(f341(f92(x82121),x82124),x82122)))+P1(f341(f341(f241(x82121),f341(f341(f298(x82121),x82123),x82122)),x82124)) % 197.39/197.44 [8287]~P65(x82871)+P1(f341(f341(f242(x82871),x82872),f2(x82871)))+~P1(f341(f341(f242(x82871),x82873),f2(x82871)))+P1(f341(f341(f242(x82871),x82873),f341(f341(f298(x82871),x82874),x82872)))+~P1(f341(f341(f242(x82871),f341(f341(f92(x82871),x82873),x82872)),x82874)) % 197.39/197.44 [8288]~P65(x82881)+P1(f341(f341(f242(x82881),x82882),f2(x82881)))+~P1(f341(f341(f241(x82881),x82883),f2(x82881)))+P1(f341(f341(f241(x82881),x82883),f341(f341(f298(x82881),x82884),x82882)))+~P1(f341(f341(f241(x82881),f341(f341(f92(x82881),x82883),x82882)),x82884)) % 197.39/197.44 [8452]~P65(x84521)+~P1(f341(f341(f242(x84521),x84522),f2(x84521)))+P1(f341(f341(f242(x84521),f2(x84521)),x84522))+~P1(f341(f341(f242(x84521),f341(f341(f298(x84521),x84524),x84522)),x84523))+P1(f341(f341(f242(x84521),f341(f341(f92(x84521),x84523),x84522)),x84524)) % 197.39/197.44 [8453]~P65(x84531)+~P1(f341(f341(f242(x84531),x84532),f2(x84531)))+P1(f341(f341(f242(x84531),f2(x84531)),x84532))+~P1(f341(f341(f242(x84531),f341(f341(f92(x84531),x84534),x84532)),x84533))+P1(f341(f341(f242(x84531),f341(f341(f298(x84531),x84533),x84532)),x84534)) % 197.39/197.44 [8454]~P65(x84541)+~P1(f341(f341(f242(x84541),x84542),f2(x84541)))+P1(f341(f341(f242(x84541),f2(x84541)),x84542))+~P1(f341(f341(f241(x84541),f341(f341(f298(x84541),x84544),x84542)),x84543))+P1(f341(f341(f241(x84541),f341(f341(f92(x84541),x84543),x84542)),x84544)) % 197.39/197.44 [8455]~P65(x84551)+~P1(f341(f341(f242(x84551),x84552),f2(x84551)))+P1(f341(f341(f242(x84551),f2(x84551)),x84552))+~P1(f341(f341(f241(x84551),f341(f341(f92(x84551),x84554),x84552)),x84553))+P1(f341(f341(f241(x84551),f341(f341(f298(x84551),x84553),x84552)),x84554)) % 197.39/197.44 [8473]~P65(x84731)+~P1(f341(f341(f242(x84731),f2(x84731)),x84734))+P1(f341(f341(f242(x84731),f2(x84731)),x84732))+~P1(f341(f341(f242(x84731),f341(f341(f92(x84731),x84734),x84732)),x84733))+P1(f341(f341(f242(x84731),f341(f341(f298(x84731),x84733),x84732)),x84734)) % 197.39/197.44 [8474]~P65(x84741)+~P1(f341(f341(f241(x84741),f2(x84741)),x84744))+P1(f341(f341(f242(x84741),f2(x84741)),x84742))+~P1(f341(f341(f241(x84741),f341(f341(f92(x84741),x84744),x84742)),x84743))+P1(f341(f341(f241(x84741),f341(f341(f298(x84741),x84743),x84742)),x84744)) % 197.39/197.44 [8549]~P65(x85491)+~P1(f341(f341(f242(x85491),x85494),f2(x85491)))+~P1(f341(f341(f242(x85491),x85493),f341(f341(f92(x85491),x85492),x85494)))+P1(f341(f341(f242(x85491),x85492),f341(f341(f298(x85491),x85493),x85494)))+~P1(f341(f341(f242(x85491),f341(f341(f92(x85491),x85492),x85494)),x85493)) % 197.39/197.44 [8550]~P65(x85501)+~P1(f341(f341(f242(x85501),x85502),f2(x85501)))+~P1(f341(f341(f242(x85501),x85503),f341(f341(f92(x85501),x85502),x85504)))+P1(f341(f341(f242(x85501),x85502),f341(f341(f298(x85501),x85503),x85504)))+~P1(f341(f341(f242(x85501),f341(f341(f92(x85501),x85502),x85504)),x85503)) % 197.39/197.44 [8551]~P65(x85511)+~P1(f341(f341(f242(x85511),x85514),f2(x85511)))+~P1(f341(f341(f241(x85511),x85513),f341(f341(f92(x85511),x85512),x85514)))+P1(f341(f341(f241(x85511),x85512),f341(f341(f298(x85511),x85513),x85514)))+~P1(f341(f341(f241(x85511),f341(f341(f92(x85511),x85512),x85514)),x85513)) % 197.39/197.44 [8552]~P65(x85521)+~P1(f341(f341(f241(x85521),x85522),f2(x85521)))+~P1(f341(f341(f241(x85521),x85523),f341(f341(f92(x85521),x85522),x85524)))+P1(f341(f341(f241(x85521),x85522),f341(f341(f298(x85521),x85523),x85524)))+~P1(f341(f341(f241(x85521),f341(f341(f92(x85521),x85522),x85524)),x85523)) % 197.39/197.44 [8667]~P65(x86671)+~P1(f341(f341(f242(x86671),x86673),f2(x86671)))+~P1(f341(f341(f242(x86671),x86672),f341(f341(f92(x86671),x86674),x86673)))+~P1(f341(f341(f242(x86671),f341(f341(f92(x86671),x86674),x86673)),x86672))+P1(f341(f341(f242(x86671),f341(f341(f298(x86671),x86672),x86673)),x86674)) % 197.39/197.44 [8668]~P65(x86681)+~P1(f341(f341(f242(x86681),x86683),f2(x86681)))+~P1(f341(f341(f241(x86681),x86682),f341(f341(f92(x86681),x86684),x86683)))+~P1(f341(f341(f241(x86681),f341(f341(f92(x86681),x86684),x86683)),x86682))+P1(f341(f341(f241(x86681),f341(f341(f298(x86681),x86682),x86683)),x86684)) % 197.39/197.44 [8681]~P65(x86811)+~P1(f341(f341(f242(x86811),f2(x86811)),x86814))+~P1(f341(f341(f242(x86811),x86812),f341(f341(f92(x86811),x86814),x86813)))+~P1(f341(f341(f242(x86811),f341(f341(f92(x86811),x86814),x86813)),x86812))+P1(f341(f341(f242(x86811),f341(f341(f298(x86811),x86812),x86813)),x86814)) % 197.39/197.44 [8682]~P65(x86821)+~P1(f341(f341(f241(x86821),f2(x86821)),x86824))+~P1(f341(f341(f241(x86821),x86822),f341(f341(f92(x86821),x86824),x86823)))+~P1(f341(f341(f241(x86821),f341(f341(f92(x86821),x86824),x86823)),x86822))+P1(f341(f341(f241(x86821),f341(f341(f298(x86821),x86822),x86823)),x86824)) % 197.39/197.44 [8875]E(f341(f341(f3(a1),f569(x88751,x88752,x88753,x88754)),f570(x88751,x88752,x88753,x88754)),x88754)+~P1(f341(f341(f242(a1),f2(a1)),x88753))+~P1(f341(f341(f344(a1),x88752),x88751))+~P1(f341(f341(f242(a1),x88754),x88752))+P1(f341(f341(f242(a1),f341(f341(f91(a1),x88754),x88753)),x88752)) % 197.39/197.44 [8941]~P1(f341(x89411,x89412))+~P1(f341(f341(f242(a1),f2(a1)),x89414))+~P1(f341(f341(f241(a1),f2(a1)),x89413))+~P1(f341(x89411,f341(f341(f91(a1),f360(x89413,x89411,x89414)),x89414)))+P1(f341(x89411,f341(f341(f91(a1),x89412),f341(f341(f92(a1),x89413),x89414)))) % 197.39/197.44 [8942]~P1(f341(x89421,x89422))+~P1(f341(f341(f242(a1),f2(a1)),x89424))+~P1(f341(f341(f241(a1),f2(a1)),x89423))+~P1(f341(x89421,f341(f341(f3(a1),f352(x89423,x89421,x89424)),x89424)))+P1(f341(x89421,f341(f341(f3(a1),x89422),f341(f341(f92(a1),x89423),x89424)))) % 197.39/197.44 [9084]~P1(f341(f341(f242(a1),f2(a1)),x90843))+~P1(f341(f341(f344(a1),x90842),x90841))+~P1(f341(f341(f242(a1),x90844),x90842))+P1(f341(f341(f344(a1),f569(x90841,x90842,x90843,x90844)),x90841))+P1(f341(f341(f242(a1),f341(f341(f91(a1),x90844),x90843)),x90842)) % 197.39/197.44 [9104]E(f341(f341(f3(a1),f559(x91041,x91042,x91043,x91044)),f560(x91041,x91042,x91043,x91044)),x91044)+~P1(f341(f341(f242(a1),f2(a1)),x91043))+~P1(f341(f341(f241(a1),x91044),x91042))+~P1(f341(f341(f344(a1),f341(f341(f91(a1),x91042),f89(a1))),x91041))+P1(f341(f341(f241(a1),f341(f341(f91(a1),x91044),x91043)),x91042)) % 197.39/197.44 [9131]~P1(f341(f341(f242(a1),f2(a1)),x91312))+~P1(f341(f341(f344(a1),x91313),x91314))+~P1(f341(f341(f242(a1),x91311),x91313))+P1(f341(f341(f344(a1),f570(x91314,x91313,x91312,x91311)),f310(a1,f89(a1),x91312)))+P1(f341(f341(f242(a1),f341(f341(f91(a1),x91311),x91312)),x91313)) % 197.39/197.44 [9222]~P1(f341(f341(f242(a1),f2(a1)),x92223))+~P1(f341(f341(f241(a1),x92224),x92222))+P1(f341(f341(f344(a1),f559(x92221,x92222,x92223,x92224)),x92221))+~P1(f341(f341(f344(a1),f341(f341(f91(a1),x92222),f89(a1))),x92221))+P1(f341(f341(f241(a1),f341(f341(f91(a1),x92224),x92223)),x92222)) % 197.39/197.44 [9275]~P1(f341(f341(f242(a1),f2(a1)),x92752))+~P1(f341(f341(f241(a1),x92751),x92753))+P1(f341(f341(f344(a1),f560(x92754,x92753,x92752,x92751)),f310(a1,f89(a1),x92752)))+~P1(f341(f341(f344(a1),f341(f341(f91(a1),x92753),f89(a1))),x92754))+P1(f341(f341(f241(a1),f341(f341(f91(a1),x92751),x92752)),x92753)) % 197.39/197.44 [9555]~P34(x95551,x95553)+~P20(x95551,x95554)+P34(x95551,f341(f341(f125(f889(f888(x95551,x95551),a874)),x95552),x95553))+~P1(f341(f341(f241(f889(f888(x95551,x95551),a874)),x95552),f341(f256(f889(f888(x95551,x95551),a874),f889(f888(x95551,x95551),a874)),x95554)))+~P1(f341(f341(f241(f889(f888(x95551,x95551),a874)),x95553),f341(f261(f889(f888(x95551,x95551),a874),f889(f888(x95551,x95551),a874)),x95554))) % 197.39/197.44 [9923]~P22(x99232,x99234,x99233)+E(x99231,f193(f889(x99232,a874)))+~P1(f341(f72(x99232),x99231))+P1(f341(f341(f344(x99232),f341(x99233,x99231)),x99231))+~P1(f341(f341(f344(x99232),f341(f341(x99234,f695(x99231,x99233,x99234,x99232)),f696(x99231,x99233,x99234,x99232))),f341(f341(f318(x99232),f695(x99231,x99233,x99234,x99232)),f341(f341(f318(x99232),f696(x99231,x99233,x99234,x99232)),f193(f889(x99232,a874)))))) % 197.39/197.44 [8582]~P8(x85821)+~P35(x85821,x85821,x85824)+~E(x85822,f112(x85821,x85824))+P1(f341(f341(f241(x85821),x85822),x85823))+~P1(f341(f341(f241(x85821),f341(x85824,f341(f341(f126(x85821),x85822),x85823))),x85823)) % 197.39/197.44 [9851]~P105(x98512)+~P61(x98511)+~P1(f341(f341(f241(f889(x98511,x98512)),x98513),x98514))+P1(f341(f341(f242(f889(x98511,x98512)),x98513),x98514))+~P1(f341(f68(x98511),f341(f341(f10(a874,a874,x98511),a336),f341(f341(f20(x98511,x98512,a874),f341(f341(f10(x98512,f889(x98512,a874),x98511),a338),x98513)),x98514)))) % 197.39/197.44 [9472]~P53(x94721,x94721,x94724)+P1(f341(f341(f344(f888(x94721,x94721)),f341(f341(f257(x94721,x94721),x94722),x94723)),f315(x94721,x94724)))+P1(f341(f341(f344(f888(x94721,x94721)),f341(f341(f257(x94721,x94721),x94723),x94722)),f315(x94721,x94724)))+~P1(f341(f341(f344(f888(x94721,x94721)),f341(f341(f257(x94721,x94721),x94725),x94722)),f315(x94721,x94724)))+~P1(f341(f341(f344(f888(x94721,x94721)),f341(f341(f257(x94721,x94721),x94725),x94723)),f315(x94721,x94724))) % 197.39/197.44 [5583]E(x55831,f2(a881))+~E(f341(f37(x55832),x55835),x55831)+E(f341(f37(x55832),x55833),f341(a128,x55831))+~E(x55833,f341(f341(f318(x55832),x55834),x55835))+P1(f341(f341(f344(x55832),x55834),x55835)) % 197.39/197.44 [5703]~P64(x57032)+E(x57031,f2(x57032))+E(x57033,f2(x57032))+~E(f341(f341(f298(x57032),x57034),x57033),f341(f341(f298(x57032),x57035),x57031))+E(f341(f341(f92(x57032),x57034),x57031),f341(f341(f92(x57032),x57035),x57033)) % 197.39/197.44 [5704]~P64(x57042)+E(x57041,f2(x57042))+E(x57043,f2(x57042))+~E(f341(f341(f92(x57042),x57044),x57043),f341(f341(f92(x57042),x57045),x57041))+E(f341(f341(f298(x57042),x57044),x57041),f341(f341(f298(x57042),x57045),x57043)) % 197.39/197.44 [5789]~E(f341(f37(x57891),x57895),x57893)+~E(x57895,f193(f889(x57891,a874)))+E(f341(f37(x57891),x57892),f341(a128,x57893))+~E(x57892,f341(f341(f318(x57891),x57894),x57895))+P1(f341(f341(f344(x57891),x57894),x57895)) % 197.39/197.44 [6024]~P108(x60242)+~E(f341(x60243,x60245),f2(x60242))+E(f341(f341(f11(x60241,x60242),x60243),x60244),f2(x60242))+~P1(f341(f72(x60241),x60244))+~P1(f341(f341(f344(x60241),x60245),x60244)) % 197.39/197.44 [6402]~P101(x64023)+E(x64021,x64022)+~E(f341(f309(x64023,x64024),x64021),f341(f309(x64023,x64025),x64022))+~P1(f341(f341(f242(x64023),x64025),x64022))+~P1(f341(f341(f242(x64023),x64024),x64021)) % 197.39/197.44 [6403]~P101(x64033)+E(x64031,x64032)+~E(f341(f309(x64033,x64031),x64034),f341(f309(x64033,x64032),x64035))+~P1(f341(f341(f242(x64033),x64032),x64035))+~P1(f341(f341(f242(x64033),x64031),x64034)) % 197.39/197.44 [6576]~P105(x65761)+~P35(x65765,x65761,x65762)+~P105(x65765)+P1(f341(f341(f241(x65761),f341(x65762,x65763)),f341(x65762,x65764)))+~P1(f341(f341(f241(x65765),x65763),x65764)) % 197.39/197.44 [7478]~P101(x74781)+~P16(x74781,f341(f341(f137(x74781),x74784),x74785))+~P1(f341(f341(f344(x74781),x74783),f341(f176(x74781),x74785)))+~P1(f341(f341(f344(x74781),x74782),f341(f176(x74781),x74784)))+P1(f341(f341(f241(x74781),x74782),x74783)) % 197.39/197.44 [8593]~P105(x85931)+~P1(f341(f341(f242(f889(x85931,a874)),f310(x85931,x85935,x85932)),f310(x85931,x85934,x85933)))+~P1(f341(f341(f241(x85931),x85935),x85932))+P1(f341(f341(f242(x85931),x85932),x85933))+P1(f341(f341(f242(x85931),x85934),x85935)) % 197.39/197.44 [9393]P47(x93934,x93935,x93933,x93931,x93932)+E(f341(x93931,f411(x93932,x93931,x93933)),f341(x93931,f425(x93932,x93931,x93933)))+~E(f341(x93931,f341(x93932,f391(x93932,x93931,x93933))),f391(x93932,x93931,x93933))+P1(f341(f341(x93933,f411(x93932,x93931,x93933)),f425(x93932,x93931,x93933)))+~P1(f341(f341(x93933,f341(x93932,f401(x93932,x93931,x93933))),f341(x93932,f401(x93932,x93931,x93933)))) % 197.39/197.44 [9459]P47(x94591,x94592,x94593,x94594,x94595)+~E(f341(x94594,f341(x94595,f391(x94595,x94594,x94593))),f391(x94595,x94594,x94593))+P1(f341(f341(x94593,f411(x94595,x94594,x94593)),f411(x94595,x94594,x94593)))+P1(f341(f341(x94593,f411(x94595,x94594,x94593)),f425(x94595,x94594,x94593)))+~P1(f341(f341(x94593,f341(x94595,f401(x94595,x94594,x94593))),f341(x94595,f401(x94595,x94594,x94593)))) % 197.39/197.44 [9460]P47(x94601,x94602,x94603,x94604,x94605)+~E(f341(x94604,f341(x94605,f391(x94605,x94604,x94603))),f391(x94605,x94604,x94603))+P1(f341(f341(x94603,f411(x94605,x94604,x94603)),f425(x94605,x94604,x94603)))+P1(f341(f341(x94603,f425(x94605,x94604,x94603)),f425(x94605,x94604,x94603)))+~P1(f341(f341(x94603,f341(x94605,f401(x94605,x94604,x94603))),f341(x94605,f401(x94605,x94604,x94603)))) % 197.39/197.44 [9585]~P35(f889(x95854,a874),f889(x95854,a874),x95855)+P1(f341(x95851,x95852))+~E(x95853,f112(f889(x95854,a874),x95855))+~P1(f341(x95851,f494(x95851,x95852,x95855,x95854,x95853)))+~P1(f341(f341(f344(x95854),x95852),x95853)) % 197.39/197.44 [10040]~E(f577(x100401,x100402,x100403,x100404,x100405),x100405)+~P1(f341(x100402,x100405))+~P1(f341(f341(f344(x100404),x100405),f277(x100404,x100403)))+P1(f341(x100401,f585(x100401,x100402,x100403,x100404)))+~P1(f341(f341(f276(x100404,x100404,a874,a874,x100403,a338),x100402),x100401)) % 197.39/197.44 [10041]~E(f596(x100412,x100411,x100413,x100414,x100415),x100415)+~P1(f341(x100412,x100415))+~P1(f341(f341(f344(x100414),x100415),f277(x100414,x100413)))+P1(f341(x100411,f603(x100412,x100411,x100413,x100414)))+~P1(f341(f341(f276(x100414,x100414,a874,a874,x100413,a338),x100411),x100412)) % 197.39/197.44 [10042]~E(f577(x100422,x100423,x100424,x100421,x100425),x100425)+~P1(f341(x100423,x100425))+~P1(f341(f341(f344(x100421),x100425),f277(x100421,x100424)))+P1(f341(f341(f344(x100421),f585(x100422,x100423,x100424,x100421)),f277(x100421,x100424)))+~P1(f341(f341(f276(x100421,x100421,a874,a874,x100424,a338),x100423),x100422)) % 197.39/197.44 [10043]~E(f596(x100432,x100433,x100434,x100431,x100435),x100435)+~P1(f341(x100432,x100435))+~P1(f341(f341(f344(x100431),x100435),f277(x100431,x100434)))+P1(f341(f341(f344(x100431),f603(x100432,x100433,x100434,x100431)),f277(x100431,x100434)))+~P1(f341(f341(f276(x100431,x100431,a874,a874,x100434,a338),x100433),x100432)) % 197.39/197.44 [10046]~P1(f341(x100462,x100465))+~P1(f341(f341(f344(x100464),x100465),f277(x100464,x100463)))+P1(f341(x100461,f585(x100461,x100462,x100463,x100464)))+P1(f341(x100462,f577(x100461,x100462,x100463,x100464,x100465)))+~P1(f341(f341(f276(x100464,x100464,a874,a874,x100463,a338),x100462),x100461)) % 197.39/197.44 [10047]~P1(f341(x100472,x100475))+~P1(f341(f341(f344(x100474),x100475),f277(x100474,x100473)))+P1(f341(x100471,f603(x100472,x100471,x100473,x100474)))+P1(f341(x100472,f596(x100472,x100471,x100473,x100474,x100475)))+~P1(f341(f341(f276(x100474,x100474,a874,a874,x100473,a338),x100471),x100472)) % 197.39/197.44 [10049]~P1(f341(x100491,x100495))+P1(f341(f341(f344(x100494),f585(x100492,x100491,x100493,x100494)),f277(x100494,x100493)))+~P1(f341(f341(f344(x100494),x100495),f277(x100494,x100493)))+P1(f341(x100491,f577(x100492,x100491,x100493,x100494,x100495)))+~P1(f341(f341(f276(x100494,x100494,a874,a874,x100493,a338),x100491),x100492)) % 197.39/197.44 [10050]~P1(f341(x100501,x100505))+P1(f341(f341(f344(x100504),f603(x100501,x100502,x100503,x100504)),f277(x100504,x100503)))+~P1(f341(f341(f344(x100504),x100505),f277(x100504,x100503)))+P1(f341(x100501,f596(x100501,x100502,x100503,x100504,x100505)))+~P1(f341(f341(f276(x100504,x100504,a874,a874,x100503,a338),x100502),x100501)) % 197.39/197.44 [10056]~P1(f341(x100562,x100565))+~P1(f341(f341(f344(x100564),x100565),f277(x100564,x100563)))+P1(f341(f341(f344(x100564),f577(x100561,x100562,x100563,x100564,x100565)),f277(x100564,x100563)))+P1(f341(x100561,f585(x100561,x100562,x100563,x100564)))+~P1(f341(f341(f276(x100564,x100564,a874,a874,x100563,a338),x100562),x100561)) % 197.39/197.44 [10057]~P1(f341(x100572,x100575))+~P1(f341(f341(f344(x100574),x100575),f277(x100574,x100573)))+P1(f341(f341(f344(x100574),f596(x100572,x100571,x100573,x100574,x100575)),f277(x100574,x100573)))+P1(f341(x100571,f603(x100572,x100571,x100573,x100574)))+~P1(f341(f341(f276(x100574,x100574,a874,a874,x100573,a338),x100571),x100572)) % 197.39/197.44 [10059]~P1(f341(x100593,x100595))+~P1(f341(f341(f344(x100591),x100595),f277(x100591,x100594)))+P1(f341(f341(f344(x100591),f585(x100592,x100593,x100594,x100591)),f277(x100591,x100594)))+P1(f341(f341(f344(x100591),f577(x100592,x100593,x100594,x100591,x100595)),f277(x100591,x100594)))+~P1(f341(f341(f276(x100591,x100591,a874,a874,x100594,a338),x100593),x100592)) % 197.39/197.44 [10060]~P1(f341(x100602,x100605))+~P1(f341(f341(f344(x100601),x100605),f277(x100601,x100604)))+P1(f341(f341(f344(x100601),f603(x100602,x100603,x100604,x100601)),f277(x100601,x100604)))+P1(f341(f341(f344(x100601),f596(x100602,x100603,x100604,x100601,x100605)),f277(x100601,x100604)))+~P1(f341(f341(f276(x100601,x100601,a874,a874,x100604,a338),x100603),x100602)) % 197.39/197.44 [6399]~P22(x63992,x63995,x63993)+E(x63991,f193(f889(x63992,a874)))+~P1(f341(f72(x63992),x63991))+E(f341(x63993,f341(f341(f318(x63992),x63994),x63991)),f341(f341(x63995,x63994),f341(x63993,x63991)))+P1(f341(f341(f344(x63992),x63994),x63991)) % 197.39/197.44 [7245]~P21(x72452,x72453,x72454)+E(f341(f341(x72453,f341(x72454,x72451)),f341(x72454,x72455)),f341(x72454,x72455))+E(x72451,f193(f889(x72452,a874)))+~P1(f341(f72(x72452),x72455))+~P1(f341(f341(f241(f889(x72452,a874)),x72451),x72455)) % 197.39/197.44 [7617]~P22(x76174,x76175,x76171)+E(f341(x76171,x76172),x76173)+~P1(f341(f72(x76174),x76172))+~E(f341(f341(f3(f889(x76174,a874)),x76172),f341(f341(f318(x76174),x76173),f193(f889(x76174,a874)))),f193(f889(x76174,a874)))+~P1(f341(f341(f344(x76174),x76173),x76172)) % 197.39/197.44 [8507]~P72(x85071)+~P117(x85071)+~P1(f341(f72(x85072),x85075))+P1(f341(f341(f294(x85071),f341(f341(f11(x85072,x85071),x85073),x85074)),f341(f341(f11(x85072,x85071),x85073),x85075)))+~P1(f341(f341(f241(f889(x85072,a874)),x85074),x85075)) % 197.39/197.44 [8557]E(x85571,x85572)+~P11(x85573,x85574,x85575)+E(f341(f341(f126(f889(x85573,a874)),x85571),x85572),f193(f889(x85573,a874)))+~P1(f341(f341(f344(f889(x85573,a874)),x85572),f341(f341(f71(x85573),x85574),x85575)))+~P1(f341(f341(f344(f889(x85573,a874)),x85571),f341(f341(f71(x85573),x85574),x85575))) % 197.39/197.44 [9347]~P70(x93472)+~E(f341(x93473,f636(x93473,x93474,x93475,x93471,x93472)),f2(x93472))+E(f341(f341(f8(x93471,x93472),x93473),x93474),f341(f341(f8(x93471,x93472),x93473),x93475))+~P1(f341(f72(x93471),x93475))+~P1(f341(f341(f241(f889(x93471,a874)),x93474),x93475)) % 197.39/197.44 [9348]~P70(x93482)+~E(f341(x93483,f637(x93483,x93484,x93485,x93481,x93482)),f2(x93482))+E(f341(f341(f8(x93481,x93482),x93483),x93484),f341(f341(f8(x93481,x93482),x93483),x93485))+~P1(f341(f72(x93481),x93485))+~P1(f341(f341(f241(f889(x93481,a874)),x93484),x93485)) % 197.39/197.44 [9349]~P72(x93492)+~E(f341(x93493,f632(x93493,x93494,x93495,x93491,x93492)),f89(x93492))+E(f341(f341(f11(x93491,x93492),x93493),x93494),f341(f341(f11(x93491,x93492),x93493),x93495))+~P1(f341(f72(x93491),x93495))+~P1(f341(f341(f241(f889(x93491,a874)),x93494),x93495)) % 197.39/197.44 [9350]~P72(x93502)+~E(f341(x93503,f635(x93503,x93504,x93505,x93501,x93502)),f89(x93502))+E(f341(f341(f11(x93501,x93502),x93503),x93504),f341(f341(f11(x93501,x93502),x93503),x93505))+~P1(f341(f72(x93501),x93505))+~P1(f341(f341(f241(f889(x93501,a874)),x93504),x93505)) % 197.39/197.44 [9749]~P35(f889(x97491,a874),f889(x97491,a874),f341(f341(f10(f889(x97491,a874),f889(x97491,a874),f889(x97491,a874)),f267(x97491)),x97494))+~P1(f341(f341(x97494,f341(f341(f125(f889(x97491,a874)),x97495),x97493)),f473(x97495,x97492,x97494,x97491,x97493)))+~E(x97493,f113(f889(x97491,a874),f341(f341(f10(f889(x97491,a874),f889(x97491,a874),f889(x97491,a874)),f267(x97491)),x97494)))+P1(f341(f341(f344(x97491),x97492),x97493))+~P1(f341(f341(f344(x97491),x97492),x97495)) % 197.39/197.44 [9753]~P35(f889(x97531,a874),f889(x97531,a874),f341(f341(f10(f889(x97531,a874),f889(x97531,a874),f889(x97531,a874)),f267(x97531)),x97535))+~E(x97533,f113(f889(x97531,a874),f341(f341(f10(f889(x97531,a874),f889(x97531,a874),f889(x97531,a874)),f267(x97531)),x97535)))+~P1(f341(f341(f344(x97531),x97532),x97534))+P1(f341(f341(f344(x97531),f473(x97534,x97532,x97535,x97531,x97533)),x97534))+P1(f341(f341(f344(x97531),x97532),x97533)) % 197.39/197.44 [9803]~P83(x98031)+~P1(f341(f72(x98032),x98035))+~P1(f341(f341(f241(x98031),f2(x98031)),f341(x98033,f619(x98033,x98034,x98035,x98032,x98031))))+P1(f341(f341(f241(x98031),f341(f341(f8(x98032,x98031),x98033),x98034)),f341(f341(f8(x98032,x98031),x98033),x98035)))+~P1(f341(f341(f241(f889(x98032,a874)),x98034),x98035)) % 197.39/197.44 [9966]~P21(x99662,x99665,x99663)+E(x99661,f193(f889(x99662,a874)))+~E(f341(f341(x99665,f341(x99664,f814(x99661,x99664,x99663,x99665,x99662))),f341(x99664,f816(x99661,x99664,x99663,x99665,x99662))),f341(x99664,f341(f341(x99665,f814(x99661,x99664,x99663,x99665,x99662)),f816(x99661,x99664,x99663,x99665,x99662))))+~P1(f341(f72(x99662),x99661))+E(f341(x99663,f341(f341(f317(x99662,x99662),x99664),x99661)),f341(x99664,f341(x99663,x99661))) % 197.39/197.44 [7474]E(x74741,f2(a881))+P1(f341(x74742,x74743))+~E(x74744,f341(f341(f91(a881),f341(f341(f92(a881),x74741),x74743)),x74745))+~P1(f341(f341(f242(a881),x74745),x74741))+~P1(f341(x74742,f341(f341(f38(a881),x74744),x74741))) % 197.39/197.44 [7557]E(x75571,f2(a881))+P1(f341(x75572,x75573))+~P1(f341(x75572,f57(a881,x75574,x75571)))+~E(x75574,f341(f341(f91(a881),f341(f341(f92(a881),x75571),x75575)),x75573))+~P1(f341(f341(f242(a881),x75573),x75571)) % 197.39/197.44 [7844]~P64(x78443)+E(f341(x78441,x78442),f2(x78443))+~P1(f341(f72(x78444),x78445))+E(f341(f341(f11(x78444,x78443),x78441),f341(f341(f3(f889(x78444,a874)),x78445),f341(f341(f318(x78444),x78442),f193(f889(x78444,a874))))),f341(f341(f11(x78444,x78443),x78441),x78445))+P1(f341(f341(f344(x78444),x78442),x78445)) % 197.39/197.44 [8247]~P70(x82471)+~P1(f341(f72(x82472),x82475))+~P1(f341(f72(x82472),x82474))+~E(f341(f341(f126(f889(x82472,a874)),x82474),x82475),f193(f889(x82472,a874)))+E(f341(f341(f91(x82471),f341(f341(f8(x82472,x82471),x82473),x82474)),f341(f341(f8(x82472,x82471),x82473),x82475)),f341(f341(f8(x82472,x82471),x82473),f341(f341(f125(f889(x82472,a874)),x82474),x82475))) % 197.39/197.44 [8249]~P72(x82491)+~P1(f341(f72(x82492),x82495))+~P1(f341(f72(x82492),x82494))+~E(f341(f341(f126(f889(x82492,a874)),x82494),x82495),f193(f889(x82492,a874)))+E(f341(f341(f92(x82491),f341(f341(f11(x82492,x82491),x82493),x82494)),f341(f341(f11(x82492,x82491),x82493),x82495)),f341(f341(f11(x82492,x82491),x82493),f341(f341(f125(f889(x82492,a874)),x82494),x82495))) % 197.39/197.44 [8342]~P64(x83423)+E(f341(x83421,x83422),f2(x83423))+~P1(f341(f72(x83424),x83425))+E(f341(f341(f11(x83424,x83423),x83421),f341(f341(f3(f889(x83424,a874)),x83425),f341(f341(f318(x83424),x83422),f193(f889(x83424,a874))))),f341(f341(f298(x83423),f341(f341(f11(x83424,x83423),x83421),x83425)),f341(x83421,x83422)))+~P1(f341(f341(f344(x83424),x83422),x83425)) % 197.39/197.44 [9069]~P11(x90691,x90695,x90694)+~E(f341(f341(f71(x90691),f341(f341(f318(x90691),x90692),f193(f889(x90691,a874)))),x90694),f341(f341(f71(x90691),f341(f341(f318(x90691),x90693),f193(f889(x90691,a874)))),x90694))+~P1(f341(f341(f344(x90691),x90693),x90695))+~P1(f341(f341(f344(x90691),x90692),x90695))+P1(f341(f341(f344(f888(x90691,x90691)),f341(f341(f257(x90691,x90691),x90692),x90693)),x90694)) % 197.39/197.44 [9083]~P11(x90831,x90835,x90833)+E(f341(f341(f71(x90831),f341(f341(f318(x90831),x90832),f193(f889(x90831,a874)))),x90833),f341(f341(f71(x90831),f341(f341(f318(x90831),x90834),f193(f889(x90831,a874)))),x90833))+~P1(f341(f341(f344(x90831),x90834),x90835))+~P1(f341(f341(f344(x90831),x90832),x90835))+~P1(f341(f341(f344(f888(x90831,x90831)),f341(f341(f257(x90831,x90831),x90832),x90834)),x90833)) % 197.39/197.44 [9370]~P72(x93701)+~P1(f341(f72(x93702),x93705))+~P1(f341(f72(x93702),x93704))+~E(f341(f341(f126(f889(x93702,a874)),x93704),x93705),f193(f889(x93702,a874)))+E(f341(f341(f92(x93701),f341(f341(f341(f75(x93701,x93702,f92(x93701)),x93703),f89(x93701)),x93704)),f341(f341(f341(f75(x93701,x93702,f92(x93701)),x93703),f89(x93701)),x93705)),f341(f341(f341(f75(x93701,x93702,f92(x93701)),x93703),f89(x93701)),f341(f341(f125(f889(x93702,a874)),x93704),x93705))) % 197.39/197.44 [9380]~P70(x93801)+~E(f341(x93803,f617(x93803,x93805,x93804,x93802,x93801)),f2(x93801))+~P1(f341(f72(x93802),x93804))+~P1(f341(f72(x93802),x93805))+E(f341(f341(f91(x93801),f341(f341(f8(x93802,x93801),x93803),x93804)),f341(f341(f8(x93802,x93801),x93803),x93805)),f341(f341(f8(x93802,x93801),x93803),f341(f341(f125(f889(x93802,a874)),x93804),x93805))) % 197.39/197.44 [9381]~P70(x93811)+~E(f341(x93813,f621(x93813,x93815,x93814,x93812,x93811)),f2(x93811))+~P1(f341(f72(x93812),x93814))+~P1(f341(f72(x93812),x93815))+E(f341(f341(f91(x93811),f341(f341(f8(x93812,x93811),x93813),x93814)),f341(f341(f8(x93812,x93811),x93813),x93815)),f341(f341(f8(x93812,x93811),x93813),f341(f341(f125(f889(x93812,a874)),x93814),x93815))) % 197.39/197.44 [9382]~P72(x93821)+~E(f341(x93823,f630(x93823,x93825,x93824,x93822,x93821)),f89(x93821))+~P1(f341(f72(x93822),x93824))+~P1(f341(f72(x93822),x93825))+E(f341(f341(f92(x93821),f341(f341(f11(x93822,x93821),x93823),x93824)),f341(f341(f11(x93822,x93821),x93823),x93825)),f341(f341(f11(x93822,x93821),x93823),f341(f341(f125(f889(x93822,a874)),x93824),x93825))) % 197.39/197.44 [9383]~P72(x93831)+~E(f341(x93833,f633(x93833,x93835,x93834,x93832,x93831)),f89(x93831))+~P1(f341(f72(x93832),x93834))+~P1(f341(f72(x93832),x93835))+E(f341(f341(f92(x93831),f341(f341(f11(x93832,x93831),x93833),x93834)),f341(f341(f11(x93832,x93831),x93833),x93835)),f341(f341(f11(x93832,x93831),x93833),f341(f341(f125(f889(x93832,a874)),x93834),x93835))) % 197.39/197.44 [9593]~P72(x95931)+~E(f341(x95933,f736(x95933,x95935,x95934,x95932,x95931)),f89(x95931))+~P1(f341(f72(x95932),x95934))+~P1(f341(f72(x95932),x95935))+E(f341(f341(f92(x95931),f341(f341(f341(f75(x95931,x95932,f92(x95931)),x95933),f89(x95931)),x95934)),f341(f341(f341(f75(x95931,x95932,f92(x95931)),x95933),f89(x95931)),x95935)),f341(f341(f341(f75(x95931,x95932,f92(x95931)),x95933),f89(x95931)),f341(f341(f125(f889(x95932,a874)),x95934),x95935))) % 197.39/197.44 [9692]~P70(x96922)+E(f341(f341(f8(x96921,x96922),x96923),x96924),f341(f341(f8(x96921,x96922),x96923),x96925))+~P1(f341(f72(x96921),x96925))+~P1(f341(f341(f241(f889(x96921,a874)),x96924),x96925))+P1(f341(f341(f344(x96921),f636(x96923,x96924,x96925,x96921,x96922)),f341(f341(f3(f889(x96921,a874)),x96925),x96924))) % 197.39/197.44 [9693]~P70(x96932)+E(f341(f341(f8(x96931,x96932),x96933),x96934),f341(f341(f8(x96931,x96932),x96933),x96935))+~P1(f341(f72(x96931),x96935))+~P1(f341(f341(f241(f889(x96931,a874)),x96934),x96935))+P1(f341(f341(f344(x96931),f637(x96933,x96934,x96935,x96931,x96932)),f341(f341(f3(f889(x96931,a874)),x96935),x96934))) % 197.39/197.44 [9694]~P72(x96942)+E(f341(f341(f11(x96941,x96942),x96943),x96944),f341(f341(f11(x96941,x96942),x96943),x96945))+~P1(f341(f72(x96941),x96945))+~P1(f341(f341(f241(f889(x96941,a874)),x96944),x96945))+P1(f341(f341(f344(x96941),f632(x96943,x96944,x96945,x96941,x96942)),f341(f341(f3(f889(x96941,a874)),x96945),x96944))) % 197.39/197.44 [9695]~P72(x96952)+E(f341(f341(f11(x96951,x96952),x96953),x96954),f341(f341(f11(x96951,x96952),x96953),x96955))+~P1(f341(f72(x96951),x96955))+~P1(f341(f341(f241(f889(x96951,a874)),x96954),x96955))+P1(f341(f341(f344(x96951),f635(x96953,x96954,x96955,x96951,x96952)),f341(f341(f3(f889(x96951,a874)),x96955),x96954))) % 197.39/197.44 [9709]~P70(x97091)+~P1(f341(f72(x97092),x97094))+~P1(f341(f72(x97092),x97095))+E(f341(f341(f91(x97091),f341(f341(f8(x97092,x97091),x97093),x97094)),f341(f341(f8(x97092,x97091),x97093),x97095)),f341(f341(f8(x97092,x97091),x97093),f341(f341(f125(f889(x97092,a874)),x97094),x97095)))+P1(f341(f341(f344(x97092),f617(x97093,x97095,x97094,x97092,x97091)),f341(f341(f126(f889(x97092,a874)),x97094),x97095))) % 197.39/197.44 [9710]~P70(x97101)+~P1(f341(f72(x97102),x97104))+~P1(f341(f72(x97102),x97105))+E(f341(f341(f91(x97101),f341(f341(f8(x97102,x97101),x97103),x97104)),f341(f341(f8(x97102,x97101),x97103),x97105)),f341(f341(f8(x97102,x97101),x97103),f341(f341(f125(f889(x97102,a874)),x97104),x97105)))+P1(f341(f341(f344(x97102),f621(x97103,x97105,x97104,x97102,x97101)),f341(f341(f126(f889(x97102,a874)),x97104),x97105))) % 197.39/197.44 [9711]~P72(x97111)+~P1(f341(f72(x97112),x97114))+~P1(f341(f72(x97112),x97115))+E(f341(f341(f92(x97111),f341(f341(f11(x97112,x97111),x97113),x97114)),f341(f341(f11(x97112,x97111),x97113),x97115)),f341(f341(f11(x97112,x97111),x97113),f341(f341(f125(f889(x97112,a874)),x97114),x97115)))+P1(f341(f341(f344(x97112),f630(x97113,x97115,x97114,x97112,x97111)),f341(f341(f126(f889(x97112,a874)),x97114),x97115))) % 197.39/197.44 [9712]~P72(x97121)+~P1(f341(f72(x97122),x97124))+~P1(f341(f72(x97122),x97125))+E(f341(f341(f92(x97121),f341(f341(f11(x97122,x97121),x97123),x97124)),f341(f341(f11(x97122,x97121),x97123),x97125)),f341(f341(f11(x97122,x97121),x97123),f341(f341(f125(f889(x97122,a874)),x97124),x97125)))+P1(f341(f341(f344(x97122),f633(x97123,x97125,x97124,x97122,x97121)),f341(f341(f126(f889(x97122,a874)),x97124),x97125))) % 197.39/197.44 [9717]~P35(f889(x97173,a874),f889(x97173,a874),x97174)+P1(f341(x97171,x97172))+~E(x97175,f112(f889(x97173,a874),x97174))+~P1(f341(f341(f344(x97173),x97172),x97175))+P1(f341(f341(f344(x97173),f494(x97171,x97172,x97174,x97173,x97175)),f341(x97174,f341(f341(f126(f889(x97173,a874)),x97175),f341(f267(x97173),x97171))))) % 197.39/197.44 [9727]~P83(x97275)+~P1(f341(f72(x97271),x97274))+P1(f341(f341(f241(x97275),f341(f341(f8(x97271,x97275),x97272),x97273)),f341(f341(f8(x97271,x97275),x97272),x97274)))+~P1(f341(f341(f241(f889(x97271,a874)),x97273),x97274))+P1(f341(f341(f344(x97271),f619(x97272,x97273,x97274,x97271,x97275)),f341(f341(f3(f889(x97271,a874)),x97274),x97273))) % 197.39/197.44 [9769]~P72(x97691)+~P1(f341(f72(x97692),x97694))+~P1(f341(f72(x97692),x97695))+E(f341(f341(f92(x97691),f341(f341(f341(f75(x97691,x97692,f92(x97691)),x97693),f89(x97691)),x97694)),f341(f341(f341(f75(x97691,x97692,f92(x97691)),x97693),f89(x97691)),x97695)),f341(f341(f341(f75(x97691,x97692,f92(x97691)),x97693),f89(x97691)),f341(f341(f125(f889(x97692,a874)),x97694),x97695)))+P1(f341(f341(f344(x97692),f736(x97693,x97695,x97694,x97692,x97691)),f341(f341(f126(f889(x97692,a874)),x97694),x97695))) % 197.39/197.44 [9805]~P67(x98051)+~P19(x98051,x98051,f92(x98051),x98052,x98053,x98055)+P19(x98051,x98051,f92(x98051),x98054,f341(f341(f318(x98051),x98052),f341(f341(f3(f889(x98051,a874)),x98053),f341(f341(f318(x98051),x98054),f193(f889(x98051,a874))))),x98055)+~P1(f341(f341(f344(x98051),x98054),x98053))+P1(f341(f341(f344(x98051),x98052),x98053)) % 197.39/197.44 [8761]~P22(x87611,x87614,x87615)+~P1(f341(f72(x87611),x87612))+E(f341(f341(f3(f889(x87611,a874)),x87612),f341(f341(f318(x87611),x87613),f193(f889(x87611,a874)))),f193(f889(x87611,a874)))+~P1(f341(f341(f344(x87611),x87613),x87612))+E(f341(f341(x87614,x87613),f341(x87615,f341(f341(f3(f889(x87611,a874)),x87612),f341(f341(f318(x87611),x87613),f193(f889(x87611,a874)))))),f341(x87615,x87612)) % 197.39/197.44 [8834]~P22(x88341,x88344,x88345)+~P1(f341(f72(x88341),x88343))+~P1(f341(f72(x88341),x88342))+E(f341(f341(f126(f889(x88341,a874)),x88342),x88343),f193(f889(x88341,a874)))+E(f341(f341(x88344,f341(x88345,f341(f341(f125(f889(x88341,a874)),x88342),x88343))),f341(x88345,f341(f341(f126(f889(x88341,a874)),x88342),x88343))),f341(f341(x88344,f341(x88345,x88342)),f341(x88345,x88343))) % 197.39/197.44 [9019]~P35(f889(x90191,a874),f889(x90191,a874),x90194)+~E(x90193,f113(f889(x90191,a874),x90194))+P1(f341(f341(f344(x90191),x90192),x90193))+~P1(f341(f341(f344(x90191),x90192),x90195))+~P1(f341(f341(f241(f889(x90191,a874)),x90195),f341(x90194,f341(f341(f125(f889(x90191,a874)),x90195),x90193)))) % 197.39/197.44 [9385]~P1(f341(f341(f241(a1),x93854),f2(a1)))+~P1(f341(f341(f242(a1),x93853),x93855))+P1(f341(f341(f241(a1),x93851),x93852))+~P1(f341(f341(f242(a1),x93853),x93854))+~P1(f341(f341(f241(a1),f341(f341(f91(a1),f341(f341(f92(a1),x93853),x93852)),x93855)),f341(f341(f91(a1),f341(f341(f92(a1),x93853),x93851)),x93854))) % 197.39/197.44 [9387]~P1(f341(f341(f241(a1),f2(a1)),x93875))+P1(f341(f341(f241(a1),x93871),x93872))+~P1(f341(f341(f242(a1),x93873),x93874))+~P1(f341(f341(f242(a1),x93875),x93874))+~P1(f341(f341(f241(a1),f341(f341(f91(a1),f341(f341(f92(a1),x93874),x93871)),x93875)),f341(f341(f91(a1),f341(f341(f92(a1),x93874),x93872)),x93873))) % 197.39/197.44 [9503]~P64(x95035)+E(f341(x95031,f631(x95031,x95032,x95033,x95034,x95035)),f2(x95035))+~P1(f341(f72(x95034),x95033))+~P1(f341(f72(x95034),x95032))+E(f341(f341(f298(x95035),f341(f341(f92(x95035),f341(f341(f11(x95034,x95035),x95031),x95033)),f341(f341(f11(x95034,x95035),x95031),x95032))),f341(f341(f11(x95034,x95035),x95031),f341(f341(f126(f889(x95034,a874)),x95033),x95032))),f341(f341(f11(x95034,x95035),x95031),f341(f341(f125(f889(x95034,a874)),x95033),x95032))) % 197.39/197.44 [9760]~P64(x97601)+~P1(f341(f72(x97602),x97604))+~P1(f341(f72(x97602),x97605))+E(f341(f341(f298(x97601),f341(f341(f92(x97601),f341(f341(f11(x97602,x97601),x97603),x97604)),f341(f341(f11(x97602,x97601),x97603),x97605))),f341(f341(f11(x97602,x97601),x97603),f341(f341(f126(f889(x97602,a874)),x97604),x97605))),f341(f341(f11(x97602,x97601),x97603),f341(f341(f125(f889(x97602,a874)),x97604),x97605)))+P1(f341(f341(f344(x97602),f631(x97603,x97605,x97604,x97602,x97601)),f341(f341(f126(f889(x97602,a874)),x97604),x97605))) % 197.39/197.44 [9103]E(f341(f341(f137(x91031),x91032),x91033),f341(f341(f137(x91031),x91034),x91035))+~E(f341(f341(f177(x91031),f341(f194(f883(x91031)),x91034)),x91032),x91034)+~E(f341(f341(f177(x91031),f341(f194(f883(x91031)),x91032)),x91034),x91032)+~E(x91035,f341(f341(f137(x91031),f341(f341(f143(x91031),f341(f194(f883(x91031)),x91034)),x91032)),x91033))+~E(f341(f341(f137(x91031),f341(f341(f143(x91031),f341(f194(f883(x91031)),x91032)),x91034)),x91035),x91033) % 197.39/197.44 [9501]~P101(x95012)+E(f341(f341(f154(x95011,x95012,x95013),x95014),f174(x95011,x95014,x95015)),x95015)+~P16(x95012,f341(f341(f159(x95011,x95012),x95013),x95015))+~P1(f341(f341(f344(x95011),x95014),f341(f176(x95011),x95015)))+~E(f341(f146(x95011),f341(f141(x95011,f341(f341(f10(x95012,a874,x95011),f341(a338,f341(x95013,x95014))),x95013)),x95015)),x95014) % 197.39/197.44 [10215]~P35(f889(x102151,a874),f889(x102151,a874),x102154)+~E(x102153,f113(f889(x102151,a874),x102154))+P1(f341(f341(f344(x102151),x102152),x102153))+~P1(f341(f341(f344(x102151),x102152),x102155))+~P1(f341(f341(f241(f889(x102151,a874)),x102155),f341(x102154,f112(f889(x102151,a874),f341(f341(f9(f889(x102151,a874),f889(x102151,a874),f889(x102151,a874)),f341(f341(f10(f889(x102151,a874),f889(f889(x102151,a874),f889(x102151,a874)),f889(x102151,a874)),f125(f889(x102151,a874))),f341(f341(f9(f889(x102151,a874),f889(x102151,a874),f889(x102151,a874)),f341(f341(f10(f889(x102151,a874),f889(f889(x102151,a874),f889(x102151,a874)),f889(x102151,a874)),f125(f889(x102151,a874))),x102154)),x102155))),x102153))))) % 197.39/197.44 [7253]E(x72531,x72532)+~P18(x72534,x72535,x72533,x72536)+~E(f341(x72533,x72531),f341(x72533,x72532))+~P1(f341(f341(f344(x72534),x72532),x72536))+~P1(f341(f341(f344(x72534),x72531),x72536)) % 197.39/197.44 [6498]~P140(x64984)+E(x64981,x64982)+~E(x64985,x64986)+E(x64983,f2(x64984))+~E(f341(f341(f91(x64984),x64985),f341(f341(f92(x64984),x64983),x64981)),f341(f341(f91(x64984),x64986),f341(f341(f92(x64984),x64983),x64982))) % 197.39/197.44 [7537]~P101(x75371)+~P8(x75371)+~P1(f341(f341(f242(x75371),x75372),f341(x75375,x75376)))+~P1(f341(f341(f344(x75373),x75376),x75374))+P1(f341(f341(f242(x75371),x75372),f341(f341(f42(x75373,x75371),x75374),x75375))) % 197.39/197.44 [8223]~P101(x82231)+~P8(x82231)+~P1(f341(f341(f242(x82231),f341(x82234,x82236)),x82235))+~P1(f341(f341(f344(x82232),x82236),x82233))+P1(f341(f341(f242(x82231),f341(f341(f43(x82232,x82231),x82233),x82234)),x82235)) % 197.39/197.44 [8275]~P23(x82752,x82755,x82756,x82751)+~P1(f341(f72(x82752),x82754))+~P1(f341(f72(x82752),x82753))+~E(f341(f341(f126(f889(x82752,a874)),x82753),x82754),f193(f889(x82752,a874)))+E(f341(x82751,f341(f341(f125(f889(x82752,a874)),x82753),x82754)),f341(f341(f82(x82755,x82755,x82755),f341(x82751,x82753)),f341(x82751,x82754))) % 197.39/197.44 [9197]~P117(x91971)+~P112(x91971)+~P1(f341(f341(f294(x91971),x91972),x91975))+~P1(f341(f341(f294(x91971),x91972),f341(f341(f91(x91971),x91973),x91976)))+P1(f341(f341(f294(x91971),x91972),f341(f341(f91(x91971),f341(f341(f3(x91971),x91973),f341(f341(f92(x91971),x91974),x91975))),x91976))) % 197.39/197.44 [9375]~P117(x93751)+~P112(x93751)+~P1(f341(f341(f294(x93751),x93752),x93755))+P1(f341(f341(f294(x93751),x93752),f341(f341(f91(x93751),x93753),x93754)))+~P1(f341(f341(f294(x93751),x93752),f341(f341(f91(x93751),f341(f341(f3(x93751),x93753),f341(f341(f92(x93751),x93756),x93755))),x93754))) % 197.39/197.44 [8804]~P47(x88045,x88046,x88041,x88044,x88047)+~E(f341(x88044,x88042),f341(x88044,x88043))+~P1(f341(f341(x88041,x88043),x88043))+~P1(f341(f341(x88041,x88042),x88042))+P1(f341(f341(x88041,x88042),x88043)) % 197.39/197.44 [8802]E(x88021,x88022)+~P55(x88024,x88025,x88026,x88023,x88027)+~E(f341(x88023,x88021),f341(x88023,x88022))+~P1(f341(f341(f344(x88025),x88022),x88027))+~P1(f341(f341(f344(x88025),x88021),x88027)) % 197.39/197.44 [10162]~P11(x101621,x101627,x101626)+~P14(x101621,f889(x101625,a874),x101626,x101624)+P1(f341(f341(f344(x101621),f724(x101622,x101623,x101624,x101625,x101626,x101627,x101621)),x101627))+~P1(f341(f341(f344(f889(x101621,a874)),x101623),f341(f341(f71(x101621),x101627),x101626)))+P1(f341(f341(f344(f889(x101625,a874)),f341(f341(f42(x101621,f889(x101625,a874)),x101623),x101624)),x101622)) % 197.39/197.44 [10211]~P11(x102112,x102116,x102117)+~P14(x102112,f889(x102111,a874),x102117,x102114)+~P1(f341(f341(f344(f889(x102112,a874)),x102113),f341(f341(f71(x102112),x102116),x102117)))+~P1(f341(f341(f344(f889(x102111,a874)),f341(x102114,f724(x102115,x102113,x102114,x102111,x102117,x102116,x102112))),x102115))+P1(f341(f341(f344(f889(x102111,a874)),f341(f341(f42(x102112,f889(x102111,a874)),x102113),x102114)),x102115)) % 197.39/197.44 [7945]~P72(x79452)+~P18(x79451,x79455,x79458,x79454)+~E(x79453,f341(f341(f82(x79455,x79452,x79451),x79456),x79458))+E(f341(f341(f11(x79451,x79452),x79453),x79454),f341(f341(f11(x79455,x79452),x79456),x79457))+~E(x79457,f341(f341(f317(x79451,x79455),x79458),x79454)) % 197.39/197.44 [10214]~P72(x102142)+~P18(x102145,x102141,x102148,x102147)+~E(f341(x102146,f749(x102143,x102146,x102144,x102147,x102148,x102141,x102145,x102142)),f341(f341(f341(f82(x102141,x102142,x102145),x102143),x102148),f749(x102143,x102146,x102144,x102147,x102148,x102141,x102145,x102142)))+E(f341(f341(f11(x102141,x102142),x102143),x102144),f341(f341(f11(x102145,x102142),x102146),x102147))+~E(x102144,f341(f341(f317(x102145,x102141),x102148),x102147)) % 197.39/197.44 [10218]~P72(x102182)+~P18(x102181,x102185,x102188,x102184)+~E(x102187,f341(f341(f317(x102181,x102185),x102188),x102184))+E(f341(f341(f11(x102181,x102182),x102183),x102184),f341(f341(f11(x102185,x102182),x102186),x102187))+P1(f341(f341(f344(x102181),f749(x102186,x102183,x102187,x102184,x102188,x102185,x102181,x102182)),x102184)) % 197.39/197.44 [9661]~P26(x96616,x96612,x96615,x96617,x96618,x96611)+~P1(f341(f72(x96612),x96614))+~P1(f341(f72(x96612),x96613))+~E(f341(f341(f126(f889(x96612,a874)),x96613),x96614),f193(f889(x96612,a874)))+E(f341(x96611,f341(f341(f125(f889(x96612,a874)),x96613),x96614)),f341(f341(x96615,f341(x96611,x96613)),f341(x96611,x96614))) % 197.39/197.44 [8841]~P47(x88414,x88415,x88411,x88416,x88417)+~P1(f341(f341(x88411,x88419),x88418))+P1(f341(f341(x88411,x88412),x88413))+~P1(f341(f341(x88411,x88413),x88418))+~P1(f341(f341(x88411,x88412),x88419)) % 197.39/197.44 [8842]~P47(x88424,x88425,x88421,x88426,x88427)+P1(f341(f341(x88421,x88422),x88423))+~P1(f341(f341(x88421,x88428),x88423))+~P1(f341(f341(x88421,x88429),x88422))+~P1(f341(f341(x88421,x88429),x88428)) % 197.39/197.44 [9806]~P11(x98064,x98068,x98065)+~P11(x98061,x98069,x98063)+~P15(x98061,x98064,f889(x98062,a874),x98063,x98065,x98067)+P14(x98061,f889(x98062,a874),x98063,f341(f341(f10(f889(x98064,f889(x98062,a874)),f889(x98062,a874),x98061),f341(f42(x98064,f889(x98062,a874)),f341(f292(x98064,x98064,x98065),f341(f341(f318(x98064),x98066),f193(f889(x98064,a874)))))),x98067))+~P1(f341(f341(f344(x98064),x98066),x98068)) % 197.39/197.44 [5024]~P141(x50242)+~P109(x50242)+~P127(x50242)+~P128(x50242)+E(x50241,f2(x50242))+~E(f341(f341(f251(x50242),x50241),x50243),f2(x50242)) % 197.39/197.44 [5025]~P141(x50252)+~P109(x50252)+~P127(x50252)+~P128(x50252)+~E(x50251,f2(a881))+~E(f341(f341(f251(x50252),x50253),x50251),f2(x50252)) % 197.39/197.44 [6480]~P83(x64801)+~E(x64803,f2(x64801))+~E(x64802,f2(x64801))+E(f341(f341(f91(x64801),x64802),x64803),f2(x64801))+~P1(f341(f341(f241(x64801),f2(x64801)),x64803))+~P1(f341(f341(f241(x64801),f2(x64801)),x64802)) % 197.39/197.44 [8881]~E(f341(f256(a881,a881),x88813),f2(a881))+~E(x88811,f341(f341(f91(a881),f341(f341(f92(a881),f341(f256(a881,a881),x88813)),x88812)),f341(f261(a881,a881),x88813)))+P1(f341(f60(x88811,x88812),x88813))+~P1(f341(f341(f241(a881),f341(f261(a881,a881),x88813)),f2(a881)))+P1(f341(f341(f242(a881),f2(a881)),x88812))+~P1(f341(f341(f242(a881),x88812),f341(f261(a881,a881),x88813))) % 197.39/197.44 [8887]E(x88871,f2(a881))+~E(x88872,f341(f341(f91(a881),f341(f341(f92(a881),f341(f256(a881,a881),x88873)),x88871)),f341(f261(a881,a881),x88873)))+P1(f341(f60(x88872,x88871),x88873))+~P1(f341(f341(f242(a881),f2(a881)),x88871))+~P1(f341(f341(f241(a881),f2(a881)),f341(f261(a881,a881),x88873)))+~P1(f341(f341(f242(a881),f341(f261(a881,a881),x88873)),x88871)) % 197.39/197.44 [8906]~E(f341(f256(a881,a881),x89063),f2(a881))+~E(x89061,f341(f341(f91(a881),f341(f341(f92(a881),f341(f256(a881,a881),x89063)),x89062)),f341(f261(a881,a881),x89063)))+P1(f341(f60(x89061,x89062),x89063))+~P1(f341(f341(f242(a881),f2(a881)),x89062))+~P1(f341(f341(f241(a881),f2(a881)),f341(f261(a881,a881),x89063)))+~P1(f341(f341(f242(a881),f341(f261(a881,a881),x89063)),x89062)) % 197.39/197.44 [6870]~P95(x68702)+E(x68701,f193(f889(x68702,a874)))+E(x68703,f193(f889(x68702,a874)))+~P1(f341(f72(x68702),x68701))+~P1(f341(f72(x68702),x68703))+E(f12(x68702,f341(f341(f125(f889(x68702,a874)),x68703),x68701)),f341(f341(f125(x68702),f12(x68702,x68703)),f12(x68702,x68701))) % 197.39/197.44 [6871]~P95(x68712)+E(x68711,f193(f889(x68712,a874)))+E(x68713,f193(f889(x68712,a874)))+~P1(f341(f72(x68712),x68711))+~P1(f341(f72(x68712),x68713))+E(f13(x68712,f341(f341(f125(f889(x68712,a874)),x68713),x68711)),f341(f341(f126(x68712),f13(x68712,x68713)),f13(x68712,x68711))) % 197.39/197.44 [6872]~P101(x68722)+E(x68721,f193(f889(x68722,a874)))+E(x68723,f193(f889(x68722,a874)))+~P1(f341(f72(x68722),x68721))+~P1(f341(f72(x68722),x68723))+E(f16(x68722,f341(f341(f125(f889(x68722,a874)),x68723),x68721)),f341(f341(f246(x68722),f16(x68722,x68723)),f16(x68722,x68721))) % 197.39/197.44 [6873]~P101(x68732)+E(x68731,f193(f889(x68732,a874)))+E(x68733,f193(f889(x68732,a874)))+~P1(f341(f72(x68732),x68731))+~P1(f341(f72(x68732),x68733))+E(f17(x68732,f341(f341(f125(f889(x68732,a874)),x68733),x68731)),f341(f341(f192(x68732),f17(x68732,x68733)),f17(x68732,x68731))) % 197.39/197.44 [7512]~P93(x75122)+E(x75121,f193(f889(x75122,a874)))+E(x75123,f193(f889(x75122,a874)))+~P1(f341(f72(x75122),x75121))+~P1(f341(f72(x75122),x75123))+E(f341(f341(f92(x75122),f341(f74(x75122,f92(x75122)),x75123)),f341(f74(x75122,f92(x75122)),x75121)),f341(f74(x75122,f92(x75122)),f341(f341(f125(f889(x75122,a874)),x75123),x75121))) % 197.39/197.44 [7671]~P101(x76712)+E(x76711,f193(f889(x76712,a874)))+E(x76713,f193(f889(x76712,a874)))+~P1(f341(f72(x76712),x76711))+~P1(f341(f72(x76712),x76713))+E(f341(f341(f246(x76712),f14(x76712,f246(x76712),x76713)),f14(x76712,f246(x76712),x76711)),f14(x76712,f246(x76712),f341(f341(f125(f889(x76712,a874)),x76713),x76711))) % 197.39/197.44 [7672]~P101(x76722)+E(x76721,f193(f889(x76722,a874)))+E(x76723,f193(f889(x76722,a874)))+~P1(f341(f72(x76722),x76721))+~P1(f341(f72(x76722),x76723))+E(f341(f341(f192(x76722),f15(x76722,f192(x76722),x76723)),f15(x76722,f192(x76722),x76721)),f15(x76722,f192(x76722),f341(f341(f125(f889(x76722,a874)),x76723),x76721))) % 197.39/197.44 [8704]~P1(f341(x87041,x87043))+P1(f341(x87041,f580(x87041,x87042)))+P1(f341(x87041,f562(x87041,x87042)))+~P1(f341(f341(f242(a1),f2(a1)),x87042))+~P1(f341(f341(f344(a1),x87043),f310(a1,f89(a1),x87042)))+P1(f341(x87041,f341(f341(f3(a1),f562(x87041,x87042)),f341(f341(f92(a1),f579(x87041,x87042)),x87042)))) % 197.39/197.44 [9013]~P1(f341(x90131,x90133))+~P1(f341(x90131,f562(x90131,x90132)))+P1(f341(x90131,f580(x90131,x90132)))+~P1(f341(f341(f242(a1),f2(a1)),x90132))+~P1(f341(f341(f344(a1),x90133),f310(a1,f89(a1),x90132)))+~P1(f341(x90131,f341(f341(f3(a1),f562(x90131,x90132)),f341(f341(f92(a1),f579(x90131,x90132)),x90132)))) % 197.39/197.44 [10247]~P99(x102472)+E(x102471,f193(f889(x102472,a874)))+E(x102473,f193(f889(x102472,a874)))+~P1(f341(f72(x102472),x102471))+~P1(f341(f72(x102472),x102473))+E(f13(x102472,f341(f267(x102472),f341(f341(f10(f889(x102472,a874),a874,x102472),f98(x102472)),f341(f341(f10(f889(x102472,f889(x102472,a874)),f889(x102472,a874),x102472),f341(f10(f889(x102472,a874),a874,x102472),f98(x102472))),f341(f341(f9(x102472,f889(x102472,f889(x102472,a874)),f889(x102472,f889(x102472,a874))),f341(f341(f10(f889(x102472,f889(f889(x102472,a874),f889(x102472,a874))),f889(f889(x102472,f889(x102472,a874)),f889(x102472,f889(x102472,a874))),x102472),f20(x102472,f889(x102472,a874),f889(x102472,a874))),f341(f341(f10(f889(x102472,f889(x102472,f889(a874,a874))),f889(x102472,f889(f889(x102472,a874),f889(x102472,a874))),x102472),f341(f10(f889(x102472,f889(a874,a874)),f889(f889(x102472,a874),f889(x102472,a874)),x102472),f20(x102472,a874,a874))),f341(f341(f10(f889(x102472,f889(x102472,a874)),f889(x102472,f889(x102472,f889(a874,a874))),x102472),f341(f10(f889(x102472,a874),f889(x102472,f889(a874,a874)),x102472),f341(f10(a874,f889(a874,a874),x102472),a339))),f341(f341(f9(x102472,f889(x102472,f889(x102472,x102472)),f889(x102472,f889(x102472,a874))),f341(f341(f10(f889(f889(x102472,x102472),f889(x102472,a874)),f889(f889(x102472,f889(x102472,x102472)),f889(x102472,f889(x102472,a874))),x102472),f10(f889(x102472,x102472),f889(x102472,a874),x102472)),f341(f341(f10(f889(x102472,a874),f889(f889(x102472,x102472),f889(x102472,a874)),x102472),f10(x102472,a874,x102472)),a338))),f125(x102472)))))),f341(f341(f9(x102472,f889(x102472,a874),f889(x102472,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x102472,a874),f889(x102472,a874)),x102472),f10(a874,a874,x102472)),f341(f341(f10(a874,f889(a874,a874),x102472),a339),f341(f341(f9(x102472,f889(x102472,a874),a874),f344(x102472)),x102473)))),f341(f341(f9(x102472,f889(x102472,a874),a874),f344(x102472)),x102471))))))),f341(f341(f125(x102472),f13(x102472,x102473)),f13(x102472,x102471))) % 197.39/197.44 [10248]~P99(x102482)+E(x102481,f193(f889(x102482,a874)))+E(x102483,f193(f889(x102482,a874)))+~P1(f341(f72(x102482),x102481))+~P1(f341(f72(x102482),x102483))+E(f12(x102482,f341(f267(x102482),f341(f341(f10(f889(x102482,a874),a874,x102482),f98(x102482)),f341(f341(f10(f889(x102482,f889(x102482,a874)),f889(x102482,a874),x102482),f341(f10(f889(x102482,a874),a874,x102482),f98(x102482))),f341(f341(f9(x102482,f889(x102482,f889(x102482,a874)),f889(x102482,f889(x102482,a874))),f341(f341(f10(f889(x102482,f889(f889(x102482,a874),f889(x102482,a874))),f889(f889(x102482,f889(x102482,a874)),f889(x102482,f889(x102482,a874))),x102482),f20(x102482,f889(x102482,a874),f889(x102482,a874))),f341(f341(f10(f889(x102482,f889(x102482,f889(a874,a874))),f889(x102482,f889(f889(x102482,a874),f889(x102482,a874))),x102482),f341(f10(f889(x102482,f889(a874,a874)),f889(f889(x102482,a874),f889(x102482,a874)),x102482),f20(x102482,a874,a874))),f341(f341(f10(f889(x102482,f889(x102482,a874)),f889(x102482,f889(x102482,f889(a874,a874))),x102482),f341(f10(f889(x102482,a874),f889(x102482,f889(a874,a874)),x102482),f341(f10(a874,f889(a874,a874),x102482),a339))),f341(f341(f9(x102482,f889(x102482,f889(x102482,x102482)),f889(x102482,f889(x102482,a874))),f341(f341(f10(f889(f889(x102482,x102482),f889(x102482,a874)),f889(f889(x102482,f889(x102482,x102482)),f889(x102482,f889(x102482,a874))),x102482),f10(f889(x102482,x102482),f889(x102482,a874),x102482)),f341(f341(f10(f889(x102482,a874),f889(f889(x102482,x102482),f889(x102482,a874)),x102482),f10(x102482,a874,x102482)),a338))),f126(x102482)))))),f341(f341(f9(x102482,f889(x102482,a874),f889(x102482,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x102482,a874),f889(x102482,a874)),x102482),f10(a874,a874,x102482)),f341(f341(f10(a874,f889(a874,a874),x102482),a339),f341(f341(f9(x102482,f889(x102482,a874),a874),f344(x102482)),x102483)))),f341(f341(f9(x102482,f889(x102482,a874),a874),f344(x102482)),x102481))))))),f341(f341(f126(x102482),f12(x102482,x102483)),f12(x102482,x102481))) % 197.39/197.44 [10249]~P101(x102492)+E(x102491,f193(f889(x102492,a874)))+E(x102493,f193(f889(x102492,a874)))+~P1(f341(f72(x102492),x102491))+~P1(f341(f72(x102492),x102493))+E(f15(x102492,f192(x102492),f341(f267(x102492),f341(f341(f10(f889(x102492,a874),a874,x102492),f98(x102492)),f341(f341(f10(f889(x102492,f889(x102492,a874)),f889(x102492,a874),x102492),f341(f10(f889(x102492,a874),a874,x102492),f98(x102492))),f341(f341(f9(x102492,f889(x102492,f889(x102492,a874)),f889(x102492,f889(x102492,a874))),f341(f341(f10(f889(x102492,f889(f889(x102492,a874),f889(x102492,a874))),f889(f889(x102492,f889(x102492,a874)),f889(x102492,f889(x102492,a874))),x102492),f20(x102492,f889(x102492,a874),f889(x102492,a874))),f341(f341(f10(f889(x102492,f889(x102492,f889(a874,a874))),f889(x102492,f889(f889(x102492,a874),f889(x102492,a874))),x102492),f341(f10(f889(x102492,f889(a874,a874)),f889(f889(x102492,a874),f889(x102492,a874)),x102492),f20(x102492,a874,a874))),f341(f341(f10(f889(x102492,f889(x102492,a874)),f889(x102492,f889(x102492,f889(a874,a874))),x102492),f341(f10(f889(x102492,a874),f889(x102492,f889(a874,a874)),x102492),f341(f10(a874,f889(a874,a874),x102492),a339))),f341(f341(f9(x102492,f889(x102492,f889(x102492,x102492)),f889(x102492,f889(x102492,a874))),f341(f341(f10(f889(f889(x102492,x102492),f889(x102492,a874)),f889(f889(x102492,f889(x102492,x102492)),f889(x102492,f889(x102492,a874))),x102492),f10(f889(x102492,x102492),f889(x102492,a874),x102492)),f341(f341(f10(f889(x102492,a874),f889(f889(x102492,x102492),f889(x102492,a874)),x102492),f10(x102492,a874,x102492)),a338))),f246(x102492)))))),f341(f341(f9(x102492,f889(x102492,a874),f889(x102492,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x102492,a874),f889(x102492,a874)),x102492),f10(a874,a874,x102492)),f341(f341(f10(a874,f889(a874,a874),x102492),a339),f341(f341(f9(x102492,f889(x102492,a874),a874),f344(x102492)),x102493)))),f341(f341(f9(x102492,f889(x102492,a874),a874),f344(x102492)),x102491))))))),f341(f341(f246(x102492),f15(x102492,f192(x102492),x102493)),f15(x102492,f192(x102492),x102491))) % 197.39/197.44 [10250]~P101(x102502)+E(x102501,f193(f889(x102502,a874)))+E(x102503,f193(f889(x102502,a874)))+~P1(f341(f72(x102502),x102501))+~P1(f341(f72(x102502),x102503))+E(f14(x102502,f246(x102502),f341(f267(x102502),f341(f341(f10(f889(x102502,a874),a874,x102502),f98(x102502)),f341(f341(f10(f889(x102502,f889(x102502,a874)),f889(x102502,a874),x102502),f341(f10(f889(x102502,a874),a874,x102502),f98(x102502))),f341(f341(f9(x102502,f889(x102502,f889(x102502,a874)),f889(x102502,f889(x102502,a874))),f341(f341(f10(f889(x102502,f889(f889(x102502,a874),f889(x102502,a874))),f889(f889(x102502,f889(x102502,a874)),f889(x102502,f889(x102502,a874))),x102502),f20(x102502,f889(x102502,a874),f889(x102502,a874))),f341(f341(f10(f889(x102502,f889(x102502,f889(a874,a874))),f889(x102502,f889(f889(x102502,a874),f889(x102502,a874))),x102502),f341(f10(f889(x102502,f889(a874,a874)),f889(f889(x102502,a874),f889(x102502,a874)),x102502),f20(x102502,a874,a874))),f341(f341(f10(f889(x102502,f889(x102502,a874)),f889(x102502,f889(x102502,f889(a874,a874))),x102502),f341(f10(f889(x102502,a874),f889(x102502,f889(a874,a874)),x102502),f341(f10(a874,f889(a874,a874),x102502),a339))),f341(f341(f9(x102502,f889(x102502,f889(x102502,x102502)),f889(x102502,f889(x102502,a874))),f341(f341(f10(f889(f889(x102502,x102502),f889(x102502,a874)),f889(f889(x102502,f889(x102502,x102502)),f889(x102502,f889(x102502,a874))),x102502),f10(f889(x102502,x102502),f889(x102502,a874),x102502)),f341(f341(f10(f889(x102502,a874),f889(f889(x102502,x102502),f889(x102502,a874)),x102502),f10(x102502,a874,x102502)),a338))),f192(x102502)))))),f341(f341(f9(x102502,f889(x102502,a874),f889(x102502,a874)),f341(f341(f10(f889(a874,a874),f889(f889(x102502,a874),f889(x102502,a874)),x102502),f10(a874,a874,x102502)),f341(f341(f10(a874,f889(a874,a874),x102502),a339),f341(f341(f9(x102502,f889(x102502,a874),a874),f344(x102502)),x102503)))),f341(f341(f9(x102502,f889(x102502,a874),a874),f344(x102502)),x102501))))))),f341(f341(f192(x102502),f14(x102502,f246(x102502),x102503)),f14(x102502,f246(x102502),x102501))) % 197.39/197.44 [7207]~P121(x72073)+E(x72071,x72072)+~E(f341(f341(f251(x72073),x72071),x72074),f341(f341(f251(x72073),x72072),x72074))+~P1(f341(f341(f241(x72073),f2(x72073)),x72072))+~P1(f341(f341(f241(x72073),f2(x72073)),x72071))+~P1(f341(f341(f242(a881),f2(a881)),x72074)) % 197.39/197.44 [9142]~P1(f341(x91422,x91423))+~P1(f341(x91421,x91424))+E(f341(f243(a881),x91421),f341(a128,f341(f243(a881),x91422)))+P1(f341(x91422,f446(x91423,x91422,x91424,x91421)))+P1(f341(x91421,f2(a881)))+P1(f341(x91421,f341(a128,f446(x91423,x91422,x91424,x91421)))) % 197.39/197.44 [9390]~P1(f341(x93902,x93903))+~P1(f341(x93901,x93904))+E(f341(f243(a881),x93901),f341(a128,f341(f243(a881),x93902)))+~P1(f341(x93902,f446(x93903,x93902,x93904,x93901)))+P1(f341(x93901,f2(a881)))+~P1(f341(x93901,f341(a128,f446(x93903,x93902,x93904,x93901)))) % 197.39/197.44 [7468]~P101(x74682)+E(x74681,f193(f889(x74682,a874)))+~P1(f341(f72(x74682),x74681))+~P1(f341(f341(f344(x74682),x74684),x74681))+P1(f341(f341(f242(x74682),x74683),x74684))+~P1(f341(f341(f242(x74682),x74683),f341(f74(x74682,f246(x74682)),x74681))) % 197.39/197.44 [7469]~P101(x74692)+E(x74691,f193(f889(x74692,a874)))+~P1(f341(f72(x74692),x74691))+~P1(f341(f341(f344(x74692),x74694),x74691))+P1(f341(f341(f241(x74692),x74693),x74694))+~P1(f341(f341(f241(x74692),x74693),f341(f74(x74692,f246(x74692)),x74691))) % 197.39/197.44 [7470]~P100(x74702)+E(x74701,f193(f889(x74702,a874)))+~P1(f341(f72(x74702),x74701))+~P1(f341(f341(f344(x74702),x74704),x74701))+P1(f341(f341(f241(x74702),x74703),x74704))+~P1(f341(f341(f241(x74702),x74703),f341(f74(x74702,f126(x74702)),x74701))) % 197.39/197.44 [7381]E(x73811,f2(a1))+E(f341(f341(f38(a1),x73812),x73811),x73813)+~P1(f341(f341(f241(a1),x73814),f2(a1)))+~E(x73812,f341(f341(f91(a1),f341(f341(f92(a1),x73811),x73813)),x73814))+P1(f341(f341(f242(a1),f2(a1)),x73811))+~P1(f341(f341(f242(a1),x73811),x73814)) % 197.39/197.44 [7398]E(f57(a1,x73982,x73981),x73983)+E(x73981,f2(a1))+~P1(f341(f341(f241(a1),x73983),f2(a1)))+~E(x73982,f341(f341(f91(a1),f341(f341(f92(a1),x73981),x73984)),x73983))+P1(f341(f341(f242(a1),f2(a1)),x73981))+~P1(f341(f341(f242(a1),x73981),x73983)) % 197.39/197.44 [7511]E(x75111,f2(a1))+E(f341(f341(f38(a1),x75112),x75111),x75113)+~E(x75112,f341(f341(f91(a1),f341(f341(f92(a1),x75111),x75113)),x75114))+~P1(f341(f341(f242(a1),f2(a1)),x75111))+~P1(f341(f341(f241(a1),f2(a1)),x75114))+~P1(f341(f341(f242(a1),x75114),x75111)) % 197.39/197.44 [7534]E(f57(a1,x75342,x75341),x75343)+E(x75341,f2(a1))+~E(x75342,f341(f341(f91(a1),f341(f341(f92(a1),x75341),x75344)),x75343))+~P1(f341(f341(f242(a1),f2(a1)),x75341))+~P1(f341(f341(f241(a1),f2(a1)),x75343))+~P1(f341(f341(f242(a1),x75343),x75341)) % 197.39/197.44 [7675]~P101(x76752)+E(x76751,f193(f889(x76752,a874)))+~P1(f341(f72(x76752),x76751))+~P1(f341(f341(f242(x76752),x76754),x76753))+~P1(f341(f341(f344(x76752),x76754),x76751))+P1(f341(f341(f242(x76752),f341(f74(x76752,f246(x76752)),x76751)),x76753)) % 197.39/197.44 [7676]~P101(x76762)+E(x76761,f193(f889(x76762,a874)))+~P1(f341(f72(x76762),x76761))+~P1(f341(f341(f241(x76762),x76764),x76763))+~P1(f341(f341(f344(x76762),x76764),x76761))+P1(f341(f341(f241(x76762),f341(f74(x76762,f246(x76762)),x76761)),x76763)) % 197.39/197.44 [8244]~P1(f341(f341(f241(a1),x82444),f2(a1)))+~E(x82441,f341(f341(f91(a1),f341(f341(f92(a1),x82442),x82443)),x82444))+~P1(f341(f341(f241(a1),f2(a1)),x82444))+~P1(f341(f341(f242(a1),x82444),x82442))+~P1(f341(f341(f242(a1),x82442),x82444))+P1(f341(f61(x82441,x82442),f341(f341(f257(a1,a1),x82443),x82444))) % 197.39/197.44 [7351]~P1(f341(x73514,x73512))+~P1(f341(x73514,x73513))+~P1(f341(f341(f344(x73515),x73513),f277(x73515,x73511)))+~P1(f341(f341(f344(x73515),x73512),f277(x73515,x73511)))+P1(f341(f341(x73511,x73512),x73513))+~P1(f341(f279(x73515,x73511),x73514)) % 197.39/197.44 [8409]~P105(x84091)+P1(f341(f341(f242(f889(x84091,a874)),f310(x84091,x84092,x84093)),f310(x84091,x84094,x84095)))+~P1(f341(f341(f242(x84091),x84093),x84095))+~P1(f341(f341(f241(x84091),x84094),x84092))+~P1(f341(f341(f241(x84091),x84094),x84095))+~P1(f341(f341(f241(x84091),x84093),x84095)) % 197.39/197.44 [8410]~P105(x84101)+P1(f341(f341(f242(f889(x84101,a874)),f310(x84101,x84102,x84103)),f310(x84101,x84104,x84105)))+~P1(f341(f341(f242(x84101),x84104),x84102))+~P1(f341(f341(f241(x84101),x84103),x84105))+~P1(f341(f341(f241(x84101),x84104),x84105))+~P1(f341(f341(f241(x84101),x84104),x84102)) % 197.39/197.44 [9270]P57(x92702,x92703,x92704,x92701)+E(x92701,f193(f889(x92702,a874)))+~P1(f341(f72(x92702),x92704))+~P1(f341(f72(x92702),x92701))+~P1(f341(f341(x92703,f648(x92703,x92701,x92704,x92702)),x92705))+~P1(f341(f341(f344(x92702),x92705),x92701)) % 197.39/197.44 [9271]P57(x92712,x92713,x92714,x92711)+E(x92711,f193(f889(x92712,a874)))+~P1(f341(f72(x92712),x92714))+~P1(f341(f72(x92712),x92711))+~P1(f341(f341(x92713,f669(x92711,x92714,x92713,x92712)),x92715))+~P1(f341(f341(f344(x92712),x92715),x92711)) % 197.39/197.44 [9272]P57(x92722,x92723,x92724,x92721)+E(x92721,f193(f889(x92722,a874)))+~P1(f341(f72(x92722),x92724))+~P1(f341(f72(x92722),x92721))+~P1(f341(f341(x92723,f798(x92721,x92724,x92723,x92722)),x92725))+~P1(f341(f341(f344(x92722),x92725),x92721)) % 197.39/197.44 [9406]~E(x94063,x94065)+~P70(x94061)+~P72(x94061)+~P36(x94063)+E(f341(f341(f8(a1,x94061),x94062),x94063),f341(f341(f8(a1,x94061),x94064),x94065))+P1(f341(f341(f241(a1),f2(a1)),f801(x94062,x94064,x94063,x94065,x94061))) % 197.39/197.44 [9407]~E(x94073,x94075)+~P70(x94071)+~P72(x94071)+~P36(x94073)+E(f341(f341(f11(a1,x94071),x94072),x94073),f341(f341(f11(a1,x94071),x94074),x94075))+P1(f341(f341(f241(a1),f2(a1)),f638(x94072,x94074,x94073,x94075,x94071))) % 197.39/197.44 [9576]~E(x95765,x95763)+~P70(x95761)+~P72(x95761)+~P36(x95765)+~E(f341(x95762,f801(x95764,x95762,x95765,x95763,x95761)),f341(x95764,f801(x95764,x95762,x95765,x95763,x95761)))+E(f341(f341(f8(a1,x95761),x95762),x95763),f341(f341(f8(a1,x95761),x95764),x95765)) % 197.39/197.44 [9577]~E(x95775,x95773)+~P70(x95771)+~P72(x95771)+~P36(x95775)+~E(f341(x95772,f638(x95774,x95772,x95775,x95773,x95771)),f341(x95774,f638(x95774,x95772,x95775,x95773,x95771)))+E(f341(f341(f11(a1,x95771),x95772),x95773),f341(f341(f11(a1,x95771),x95774),x95775)) % 197.39/197.44 [9658]~P80(x96583)+E(f341(x96581,x96582),f2(x96583))+~E(f341(f341(f8(x96584,x96583),x96581),x96585),f2(x96583))+~P1(f341(f72(x96584),x96585))+P1(f341(f341(f344(x96584),f626(x96582,x96581,x96585,x96584,x96583)),x96585))+~P1(f341(f341(f344(x96584),x96582),x96585)) % 197.39/197.44 [9782]~P80(x97823)+E(f341(x97821,x97822),f2(x97823))+~E(f341(f341(f8(x97824,x97823),x97821),x97825),f2(x97823))+~P1(f341(f72(x97824),x97825))+~P1(f341(f341(f344(x97824),x97822),x97825))+~P1(f341(f341(f241(x97823),f2(x97823)),f341(x97821,f626(x97822,x97821,x97825,x97824,x97823)))) % 197.39/197.44 [8323]~P129(x83231)+~P1(f341(f341(f241(x83231),f2(x83231)),x83233))+~P1(f341(f341(f242(x83231),x83233),x83235))+~P1(f341(f341(f242(x83231),x83232),x83234))+~P1(f341(f341(f242(x83231),f2(x83231)),x83234))+P1(f341(f341(f242(x83231),f341(f341(f92(x83231),x83232),x83233)),f341(f341(f92(x83231),x83234),x83235))) % 197.39/197.44 [8324]~P129(x83241)+~P1(f341(f341(f241(x83241),f2(x83241)),x83243))+~P1(f341(f341(f241(x83241),f2(x83241)),x83242))+~P1(f341(f341(f242(x83241),x83243),x83245))+~P1(f341(f341(f242(x83241),x83242),x83244))+P1(f341(f341(f242(x83241),f341(f341(f92(x83241),x83242),x83243)),f341(f341(f92(x83241),x83244),x83245))) % 197.39/197.44 [8325]~P129(x83251)+~P1(f341(f341(f241(x83251),x83252),x83254))+~P1(f341(f341(f241(x83251),f2(x83251)),x83253))+~P1(f341(f341(f242(x83251),x83253),x83255))+~P1(f341(f341(f242(x83251),f2(x83251)),x83252))+P1(f341(f341(f242(x83251),f341(f341(f92(x83251),x83252),x83253)),f341(f341(f92(x83251),x83254),x83255))) % 197.39/197.44 [8326]~P129(x83261)+~P1(f341(f341(f241(x83261),x83263),x83265))+~P1(f341(f341(f241(x83261),f2(x83261)),x83262))+~P1(f341(f341(f242(x83261),x83262),x83264))+~P1(f341(f341(f242(x83261),f2(x83261)),x83263))+P1(f341(f341(f242(x83261),f341(f341(f92(x83261),x83262),x83263)),f341(f341(f92(x83261),x83264),x83265))) % 197.39/197.44 [8327]~P66(x83271)+~P1(f341(f341(f241(x83271),x83272),x83274))+~P1(f341(f341(f242(x83271),x83275),x83273))+~P1(f341(f341(f242(x83271),f2(x83271)),x83275))+~P1(f341(f341(f242(x83271),f2(x83271)),x83272))+P1(f341(f341(f242(x83271),f341(f341(f298(x83271),x83272),x83273)),f341(f341(f298(x83271),x83274),x83275))) % 197.39/197.44 [8328]~P66(x83281)+~P1(f341(f341(f241(x83281),x83285),x83283))+~P1(f341(f341(f241(x83281),f2(x83281)),x83282))+~P1(f341(f341(f242(x83281),x83282),x83284))+~P1(f341(f341(f242(x83281),f2(x83281)),x83285))+P1(f341(f341(f242(x83281),f341(f341(f298(x83281),x83282),x83283)),f341(f341(f298(x83281),x83284),x83285))) % 197.39/197.44 [8329]~P133(x83291)+~P1(f341(f341(f241(x83291),x83293),x83295))+~P1(f341(f341(f241(x83291),x83292),x83294))+~P1(f341(f341(f241(x83291),f2(x83291)),x83293))+~P1(f341(f341(f241(x83291),f2(x83291)),x83294))+P1(f341(f341(f241(x83291),f341(f341(f92(x83291),x83292),x83293)),f341(f341(f92(x83291),x83294),x83295))) % 197.39/197.44 [8330]~P133(x83301)+~P1(f341(f341(f241(x83301),x83303),x83305))+~P1(f341(f341(f241(x83301),x83302),x83304))+~P1(f341(f341(f241(x83301),f2(x83301)),x83303))+~P1(f341(f341(f241(x83301),f2(x83301)),x83302))+P1(f341(f341(f241(x83301),f341(f341(f92(x83301),x83302),x83303)),f341(f341(f92(x83301),x83304),x83305))) % 197.39/197.44 [8331]~P66(x83311)+~P1(f341(f341(f242(x83311),f2(x83311)),x83315))+~P1(f341(f341(f241(x83311),x83315),x83313))+~P1(f341(f341(f241(x83311),x83312),x83314))+~P1(f341(f341(f241(x83311),f2(x83311)),x83312))+P1(f341(f341(f241(x83311),f341(f341(f298(x83311),x83312),x83313)),f341(f341(f298(x83311),x83314),x83315))) % 197.39/197.44 [9696]~P70(x96965)+~P82(x96965)+E(x96961,f193(f889(x96962,a874)))+~P1(f341(f72(x96962),x96961))+P1(f341(f341(f344(x96962),f770(x96963,x96964,x96961,x96962,x96965)),x96961))+P1(f341(f341(f242(x96965),f341(f341(f8(x96962,x96965),x96964),x96961)),f341(f341(f8(x96962,x96965),x96963),x96961))) % 197.39/197.44 [9804]~P70(x98041)+~P79(x98041)+~P1(f341(f72(x98042),x98045))+~P1(f341(f341(f241(x98041),f2(x98041)),f341(x98043,f622(x98043,x98044,x98045,x98042,x98041))))+P1(f341(f341(f241(x98041),f341(f341(f8(x98042,x98041),x98043),x98044)),f341(f341(f8(x98042,x98041),x98043),x98045)))+~P1(f341(f341(f241(f889(x98042,a874)),x98044),x98045)) % 197.39/197.44 [9970]~P70(x99703)+~P82(x99703)+E(x99701,f193(f889(x99702,a874)))+~P1(f341(f72(x99702),x99701))+~P1(f341(f341(f242(x99703),f341(x99704,f770(x99705,x99704,x99701,x99702,x99703))),f341(x99705,f770(x99705,x99704,x99701,x99702,x99703))))+P1(f341(f341(f242(x99703),f341(f341(f8(x99702,x99703),x99704),x99701)),f341(f341(f8(x99702,x99703),x99705),x99701))) % 197.39/197.44 [7066]~P21(x70662,x70665,x70664)+E(x70661,f193(f889(x70662,a874)))+E(x70663,f193(f889(x70662,a874)))+~P1(f341(f72(x70662),x70661))+~P1(f341(f72(x70662),x70663))+E(f341(x70664,f341(f341(f125(f889(x70662,a874)),x70663),x70661)),f341(f341(x70665,f341(x70664,x70663)),f341(x70664,x70661))) % 197.39/197.44 [7641]~P143(x76411,x76414,x76413)+P1(f341(x76411,x76412))+~P1(f341(f341(f242(a1),x76414),f2(a1)))+~P1(f341(f341(f241(a1),x76415),f2(a1)))+~E(x76413,f341(f341(f91(a1),f341(f341(f92(a1),x76414),x76412)),x76415))+~P1(f341(f341(f242(a1),x76414),x76415)) % 197.39/197.44 [7642]~P142(x76421,x76424,x76423)+P1(f341(x76421,x76422))+~P1(f341(f341(f242(a1),x76424),f2(a1)))+~P1(f341(f341(f241(a1),x76422),f2(a1)))+~E(x76423,f341(f341(f91(a1),f341(f341(f92(a1),x76424),x76425)),x76422))+~P1(f341(f341(f242(a1),x76424),x76422)) % 197.39/197.44 [7684]~P143(x76841,x76844,x76843)+P1(f341(x76841,x76842))+~E(x76843,f341(f341(f91(a1),f341(f341(f92(a1),x76844),x76842)),x76845))+~P1(f341(f341(f242(a1),f2(a1)),x76844))+~P1(f341(f341(f241(a1),f2(a1)),x76845))+~P1(f341(f341(f242(a1),x76845),x76844)) % 197.39/197.44 [7685]~P142(x76851,x76854,x76853)+P1(f341(x76851,x76852))+~E(x76853,f341(f341(f91(a1),f341(f341(f92(a1),x76854),x76855)),x76852))+~P1(f341(f341(f242(a1),f2(a1)),x76854))+~P1(f341(f341(f241(a1),f2(a1)),x76852))+~P1(f341(f341(f242(a1),x76852),x76854)) % 197.39/197.44 [8626]P1(f341(f341(x86261,x86262),x86263))+~P1(f341(f341(x86261,f341(f341(f38(a1),x86264),x86265)),f57(a1,x86264,x86265)))+~P1(f341(f341(f242(a1),x86265),f2(a1)))+~P1(f341(f341(f241(a1),x86263),f2(a1)))+~E(x86264,f341(f341(f91(a1),f341(f341(f92(a1),x86265),x86262)),x86263))+~P1(f341(f341(f242(a1),x86265),x86263)) % 197.39/197.44 [8637]P1(f341(f341(x86371,x86372),x86373))+~P1(f341(f341(x86371,f341(f341(f38(a1),x86374),x86375)),f57(a1,x86374,x86375)))+~E(x86374,f341(f341(f91(a1),f341(f341(f92(a1),x86375),x86372)),x86373))+~P1(f341(f341(f242(a1),f2(a1)),x86375))+~P1(f341(f341(f241(a1),f2(a1)),x86373))+~P1(f341(f341(f242(a1),x86373),x86375)) % 197.39/197.44 [8895]E(x88951,x88952)+~P54(x88953,x88955,x88954)+~P1(f341(f341(f344(x88953),x88952),x88955))+~P1(f341(f341(f344(x88953),x88951),x88955))+P1(f341(f341(f344(f888(x88953,x88953)),f341(f341(f257(x88953,x88953),x88951),x88952)),x88954))+P1(f341(f341(f344(f888(x88953,x88953)),f341(f341(f257(x88953,x88953),x88952),x88951)),x88954)) % 197.39/197.44 [9676]~P105(x96761)+~P105(x96762)+~P35(x96762,x96761,x96763)+~P1(f341(f341(f241(x96762),x96765),f392(x96764,x96763,x96762,x96761,x96765)))+E(f341(f243(x96761),f341(f341(f9(x96761,f889(x96761,a874),a874),f344(x96761)),f341(f341(f317(x96762,x96761),x96763),x96764))),f341(x96763,f341(f243(x96762),f341(f341(f9(x96762,f889(x96762,a874),a874),f344(x96762)),x96764))))+~P1(f341(f341(f344(x96762),x96765),x96764)) % 197.39/197.44 [9728]~P70(x97285)+~P79(x97285)+~P1(f341(f72(x97281),x97284))+P1(f341(f341(f241(x97285),f341(f341(f8(x97281,x97285),x97282),x97283)),f341(f341(f8(x97281,x97285),x97282),x97284)))+~P1(f341(f341(f241(f889(x97281,a874)),x97283),x97284))+P1(f341(f341(f344(x97281),f622(x97282,x97283,x97284,x97281,x97285)),f341(f341(f3(f889(x97281,a874)),x97284),x97283))) % 197.39/197.44 [9736]~P105(x97361)+~P105(x97362)+~P35(x97362,x97361,x97363)+E(f341(f243(x97361),f341(f341(f9(x97361,f889(x97361,a874),a874),f344(x97361)),f341(f341(f317(x97362,x97361),x97363),x97364))),f341(x97363,f341(f243(x97362),f341(f341(f9(x97362,f889(x97362,a874),a874),f344(x97362)),x97364))))+~P1(f341(f341(f344(x97362),x97365),x97364))+P1(f341(f341(f344(x97362),f392(x97364,x97363,x97362,x97361,x97365)),x97364)) % 197.39/197.44 [9812]E(x98121,f193(f889(x98122,a874)))+~P1(f341(f72(x98122),x98123))+~P1(f341(f72(x98122),x98121))+P1(f341(f341(f344(f888(f889(x98122,a874),f889(x98122,a874))),f341(f341(f257(f889(x98122,a874),f889(x98122,a874)),x98123),x98121)),f332(x98122,x98124)))+~P1(f341(f341(f344(x98122),x98125),x98121))+~P1(f341(f341(f344(f888(x98122,x98122)),f341(f341(f257(x98122,x98122),f809(x98124,x98121,x98123,x98122)),x98125)),x98124)) % 197.39/197.44 [9974]~P80(x99741)+~E(f341(f341(f8(x99745,x99741),x99742),x99746),x99744)+~P1(f341(f72(x99745),x99746))+P1(f341(f341(f344(x99745),f634(x99743,x99744,x99742,x99746,x99745,x99741)),x99746))+P1(f341(f341(f241(x99741),f341(x99742,x99743)),x99744))+~P1(f341(f341(f344(x99745),x99743),x99746)) % 197.39/197.44 [10027]~P80(x100271)+~E(f341(f341(f8(x100275,x100271),x100272),x100276),x100274)+~P1(f341(f72(x100275),x100276))+~P1(f341(f341(f344(x100275),x100273),x100276))+~P1(f341(f341(f241(x100271),f2(x100271)),f341(x100272,f634(x100273,x100274,x100272,x100276,x100275,x100271))))+P1(f341(f341(f241(x100271),f341(x100272,x100273)),x100274)) % 197.39/197.44 [9817]~P11(x98175,x98179,x98176)+~P11(x98171,x981710,x98173)+~P15(x98171,x98175,f889(x98172,a874),x98173,x98176,x98178)+~P1(f341(f341(f344(x98175),x98177),x98179))+~P1(f341(f341(f344(x98171),x98174),x981710))+E(f341(f341(f42(x98171,f889(x98172,a874)),f341(f292(x98171,x98171,x98173),f341(f341(f318(x98171),x98174),f193(f889(x98171,a874))))),f341(f341(f10(f889(x98175,f889(x98172,a874)),f889(x98172,a874),x98171),f341(f42(x98175,f889(x98172,a874)),f341(f292(x98175,x98175,x98176),f341(f341(f318(x98175),x98177),f193(f889(x98175,a874)))))),x98178)),f341(f341(x98178,x98174),x98177)) % 197.39/197.44 [5556]~P101(x55563)+~P16(x55563,x55562)+~P16(x55563,x55561)+E(x55561,x55562)+~E(f341(f176(x55563),x55561),f341(f176(x55563),x55562))+~P1(f341(f142(x55563),x55562))+~P1(f341(f142(x55563),x55561)) % 197.39/197.44 [4910]~P141(x49102)+~P109(x49102)+~P127(x49102)+~P128(x49102)+~E(x49103,f2(x49102))+E(x49101,f2(a881))+E(f341(f341(f251(x49102),x49103),x49101),f2(x49102)) % 197.39/197.44 [9139]E(x91391,f2(a881))+~E(x91392,f341(f341(f91(a881),f341(f341(f92(a881),f341(f256(a881,a881),x91393)),x91391)),f341(f261(a881,a881),x91393)))+P1(f341(f60(x91392,x91391),x91393))+~P1(f341(f341(f241(a881),f341(f261(a881,a881),x91393)),f2(a881)))+~P1(f341(f341(f241(a881),f2(a881)),f341(f261(a881,a881),x91393)))+~P1(f341(f341(f242(a881),x91391),f341(f261(a881,a881),x91393)))+~P1(f341(f341(f242(a881),f341(f261(a881,a881),x91393)),x91391)) % 197.39/197.44 [9150]~E(f341(f256(a881,a881),x91503),f2(a881))+~E(x91501,f341(f341(f91(a881),f341(f341(f92(a881),f341(f256(a881,a881),x91503)),x91502)),f341(f261(a881,a881),x91503)))+P1(f341(f60(x91501,x91502),x91503))+~P1(f341(f341(f241(a881),f341(f261(a881,a881),x91503)),f2(a881)))+~P1(f341(f341(f241(a881),f2(a881)),f341(f261(a881,a881),x91503)))+~P1(f341(f341(f242(a881),x91502),f341(f261(a881,a881),x91503)))+~P1(f341(f341(f242(a881),f341(f261(a881,a881),x91503)),x91502)) % 197.39/197.44 [7991]~P67(x79912)+E(x79911,f193(f889(x79912,a874)))+E(x79913,f193(f889(x79912,a874)))+~P1(f341(f72(x79912),x79911))+~P1(f341(f72(x79912),x79913))+~E(f341(f341(f126(f889(x79912,a874)),x79913),x79911),f193(f889(x79912,a874)))+E(f341(f341(f92(x79912),f341(f74(x79912,f92(x79912)),x79913)),f341(f74(x79912,f92(x79912)),x79911)),f341(f74(x79912,f92(x79912)),f341(f341(f125(f889(x79912,a874)),x79913),x79911))) % 197.39/197.44 [7778]E(x77781,f2(a1))+E(f341(f341(f38(a1),x77782),x77781),x77783)+~P1(f341(f341(f241(a1),x77784),f2(a1)))+~E(x77782,f341(f341(f91(a1),f341(f341(f92(a1),x77781),x77783)),x77784))+~P1(f341(f341(f241(a1),f2(a1)),x77784))+~P1(f341(f341(f242(a1),x77784),x77781))+~P1(f341(f341(f242(a1),x77781),x77784)) % 197.39/197.44 [7784]E(f57(a1,x77842,x77841),x77843)+E(x77841,f2(a1))+~P1(f341(f341(f241(a1),x77843),f2(a1)))+~E(x77842,f341(f341(f91(a1),f341(f341(f92(a1),x77841),x77844)),x77843))+~P1(f341(f341(f241(a1),f2(a1)),x77843))+~P1(f341(f341(f242(a1),x77843),x77841))+~P1(f341(f341(f242(a1),x77841),x77843)) % 197.39/197.44 [6834]~P59(x68342)+E(x68341,f2(x68342))+E(x68343,f2(x68342))+~E(f341(f341(f38(x68342),x68344),x68343),f341(f341(f38(x68342),x68345),x68341))+E(f341(f341(f92(x68342),x68344),x68341),f341(f341(f92(x68342),x68343),x68345))+~P1(f341(f341(f294(x68342),x68341),x68345))+~P1(f341(f341(f294(x68342),x68343),x68344)) % 197.39/197.44 [6835]~P59(x68352)+E(x68351,f2(x68352))+E(x68353,f2(x68352))+~E(f341(f341(f92(x68352),x68354),x68353),f341(f341(f92(x68352),x68351),x68355))+E(f341(f341(f38(x68352),x68354),x68351),f341(f341(f38(x68352),x68355),x68353))+~P1(f341(f341(f294(x68352),x68351),x68354))+~P1(f341(f341(f294(x68352),x68353),x68355)) % 197.39/197.44 [9582]P47(x95821,x95822,x95823,x95824,x95825)+~E(f341(x95824,f411(x95825,x95824,x95823)),f341(x95824,f425(x95825,x95824,x95823)))+~E(f341(x95824,f341(x95825,f391(x95825,x95824,x95823))),f391(x95825,x95824,x95823))+~P1(f341(f341(x95823,f411(x95825,x95824,x95823)),f411(x95825,x95824,x95823)))+~P1(f341(f341(x95823,f411(x95825,x95824,x95823)),f425(x95825,x95824,x95823)))+~P1(f341(f341(x95823,f425(x95825,x95824,x95823)),f425(x95825,x95824,x95823)))+~P1(f341(f341(x95823,f341(x95825,f401(x95825,x95824,x95823))),f341(x95825,f401(x95825,x95824,x95823)))) % 197.39/197.44 [7692]~P22(x76922,x76925,x76924)+E(x76921,f193(f889(x76922,a874)))+E(x76923,f193(f889(x76922,a874)))+~P1(f341(f72(x76922),x76921))+~P1(f341(f72(x76922),x76923))+~E(f341(f341(f126(f889(x76922,a874)),x76923),x76921),f193(f889(x76922,a874)))+E(f341(x76924,f341(f341(f125(f889(x76922,a874)),x76923),x76921)),f341(f341(x76925,f341(x76924,x76923)),f341(x76924,x76921))) % 197.39/197.44 [10038]E(x100381,f585(x100382,x100383,x100384,x100385))+~E(f577(x100382,x100383,x100384,x100385,x100386),x100386)+~P1(f341(x100383,x100386))+~P1(f341(x100382,x100381))+~P1(f341(f341(f344(x100385),x100386),f277(x100385,x100384)))+~P1(f341(f341(f344(x100385),x100381),f277(x100385,x100384)))+~P1(f341(f341(f276(x100385,x100385,a874,a874,x100384,a338),x100383),x100382)) % 197.39/197.44 [10039]E(x100391,f603(x100392,x100393,x100394,x100395))+~E(f596(x100392,x100393,x100394,x100395,x100396),x100396)+~P1(f341(x100392,x100396))+~P1(f341(x100393,x100391))+~P1(f341(f341(f344(x100395),x100396),f277(x100395,x100394)))+~P1(f341(f341(f344(x100395),x100391),f277(x100395,x100394)))+~P1(f341(f341(f276(x100395,x100395,a874,a874,x100394,a338),x100393),x100392)) % 197.39/197.44 [10044]E(x100441,f585(x100442,x100443,x100444,x100445))+~P1(f341(x100443,x100446))+~P1(f341(x100442,x100441))+~P1(f341(f341(f344(x100445),x100446),f277(x100445,x100444)))+~P1(f341(f341(f344(x100445),x100441),f277(x100445,x100444)))+P1(f341(x100443,f577(x100442,x100443,x100444,x100445,x100446)))+~P1(f341(f341(f276(x100445,x100445,a874,a874,x100444,a338),x100443),x100442)) % 197.39/197.44 [10045]E(x100451,f603(x100452,x100453,x100454,x100455))+~P1(f341(x100452,x100456))+~P1(f341(x100453,x100451))+~P1(f341(f341(f344(x100455),x100456),f277(x100455,x100454)))+~P1(f341(f341(f344(x100455),x100451),f277(x100455,x100454)))+P1(f341(x100452,f596(x100452,x100453,x100454,x100455,x100456)))+~P1(f341(f341(f276(x100455,x100455,a874,a874,x100454,a338),x100453),x100452)) % 197.39/197.44 [10053]E(x100531,f585(x100532,x100533,x100534,x100535))+~P1(f341(x100533,x100536))+~P1(f341(x100532,x100531))+~P1(f341(f341(f344(x100535),x100536),f277(x100535,x100534)))+~P1(f341(f341(f344(x100535),x100531),f277(x100535,x100534)))+P1(f341(f341(f344(x100535),f577(x100532,x100533,x100534,x100535,x100536)),f277(x100535,x100534)))+~P1(f341(f341(f276(x100535,x100535,a874,a874,x100534,a338),x100533),x100532)) % 197.39/197.44 [10054]E(x100541,f603(x100542,x100543,x100544,x100545))+~P1(f341(x100542,x100546))+~P1(f341(x100543,x100541))+~P1(f341(f341(f344(x100545),x100546),f277(x100545,x100544)))+~P1(f341(f341(f344(x100545),x100541),f277(x100545,x100544)))+P1(f341(f341(f344(x100545),f596(x100542,x100543,x100544,x100545,x100546)),f277(x100545,x100544)))+~P1(f341(f341(f276(x100545,x100545,a874,a874,x100544,a338),x100543),x100542)) % 197.39/197.44 [9305]~P18(x93053,x93051,x93055,x93054)+~P18(x93051,x93053,x93056,x93052)+E(f341(f37(x93051),x93052),f341(f37(x93053),x93054))+~P1(f341(f72(x93053),x93054))+~P1(f341(f72(x93051),x93052))+~P1(f341(f341(f241(f889(x93053,a874)),f341(f341(f317(x93051,x93053),x93056),x93052)),x93054))+~P1(f341(f341(f241(f889(x93051,a874)),f341(f341(f317(x93053,x93051),x93055),x93054)),x93052)) % 197.39/197.44 [9327]~P1(f341(f341(f242(a1),f341(f341(f91(a1),f341(f341(f92(a1),x93275),x93271)),x93276)),f2(a1)))+~E(f341(f341(f91(a1),f341(f341(f92(a1),x93273),x93272)),x93274),f341(f341(f91(a1),f341(f341(f92(a1),x93275),x93271)),x93276))+~P1(f341(f341(f242(a1),f2(a1)),x93275))+~P1(f341(f341(f241(a1),f2(a1)),x93276))+~P1(f341(f341(f242(a1),x93274),x93273))+~P1(f341(f341(f241(a1),x93275),x93273))+P1(f341(f341(f241(a1),x93271),x93272)) % 197.39/197.44 [9090]~E(f341(f341(f91(a1),f341(f341(f92(a1),x90903),x90901)),x90904),f341(f341(f91(a1),f341(f341(f92(a1),x90905),x90902)),x90906))+~P1(f341(f341(f242(a1),f2(a1)),x90905))+~P1(f341(f341(f241(a1),f2(a1)),x90904))+~P1(f341(f341(f242(a1),x90906),x90905))+~P1(f341(f341(f241(a1),x90905),x90903))+P1(f341(f341(f241(a1),x90901),x90902))+~P1(f341(f341(f241(a1),f2(a1)),f341(f341(f91(a1),f341(f341(f92(a1),x90905),x90902)),x90906))) % 197.39/197.44 [9276]~P124(x92761)+~E(f341(f341(f91(x92761),x92762),x92764),f89(x92761))+~P1(f341(f341(f241(x92761),f2(x92761)),x92764))+~P1(f341(f341(f241(x92761),f2(x92761)),x92762))+~P1(f341(f341(f242(x92761),x92765),x92766))+~P1(f341(f341(f242(x92761),x92763),x92766))+P1(f341(f341(f242(x92761),f341(f341(f91(x92761),f341(f341(f92(x92761),x92762),x92763)),f341(f341(f92(x92761),x92764),x92765))),x92766)) % 197.39/197.44 [9277]~P126(x92771)+~E(f341(f341(f91(x92771),x92772),x92774),f89(x92771))+~P1(f341(f341(f241(x92771),x92775),x92776))+~P1(f341(f341(f241(x92771),x92773),x92776))+~P1(f341(f341(f241(x92771),f2(x92771)),x92774))+~P1(f341(f341(f241(x92771),f2(x92771)),x92772))+P1(f341(f341(f241(x92771),f341(f341(f91(x92771),f341(f341(f92(x92771),x92772),x92773)),f341(f341(f92(x92771),x92774),x92775))),x92776)) % 197.39/197.44 [10106]~P11(x101067,x101066,x101065)+E(x101061,x101062)+~P14(x101067,f889(x101064,a874),x101065,x101063)+E(f341(x101063,f723(x101061,x101062,x101063,x101064,x101065,x101066,x101067)),f341(x101063,f721(x101061,x101062,x101063,x101064,x101065,x101066,x101067)))+~E(f341(f341(f42(x101067,f889(x101064,a874)),x101061),x101063),f341(f341(f42(x101067,f889(x101064,a874)),x101062),x101063))+~P1(f341(f341(f344(f889(x101067,a874)),x101062),f341(f341(f71(x101067),x101066),x101065)))+~P1(f341(f341(f344(f889(x101067,a874)),x101061),f341(f341(f71(x101067),x101066),x101065))) % 197.39/197.44 [10160]~P11(x101603,x101607,x101606)+E(x101601,x101602)+~P14(x101603,f889(x101605,a874),x101606,x101604)+~E(f341(f341(f42(x101603,f889(x101605,a874)),x101601),x101604),f341(f341(f42(x101603,f889(x101605,a874)),x101602),x101604))+P1(f341(f341(f344(x101603),f721(x101601,x101602,x101604,x101605,x101606,x101607,x101603)),x101607))+~P1(f341(f341(f344(f889(x101603,a874)),x101602),f341(f341(f71(x101603),x101607),x101606)))+~P1(f341(f341(f344(f889(x101603,a874)),x101601),f341(f341(f71(x101603),x101607),x101606))) % 197.39/197.44 [10161]~P11(x101613,x101617,x101616)+E(x101611,x101612)+~P14(x101613,f889(x101615,a874),x101616,x101614)+~E(f341(f341(f42(x101613,f889(x101615,a874)),x101611),x101614),f341(f341(f42(x101613,f889(x101615,a874)),x101612),x101614))+P1(f341(f341(f344(x101613),f723(x101611,x101612,x101614,x101615,x101616,x101617,x101613)),x101617))+~P1(f341(f341(f344(f889(x101613,a874)),x101612),f341(f341(f71(x101613),x101617),x101616)))+~P1(f341(f341(f344(f889(x101613,a874)),x101611),f341(f341(f71(x101613),x101617),x101616))) % 197.39/197.44 [10231]E(x102311,x102312)+~P11(x102313,x102316,x102317)+~P14(x102313,f889(x102314,a874),x102317,x102315)+~E(f341(f341(f42(x102313,f889(x102314,a874)),x102311),x102315),f341(f341(f42(x102313,f889(x102314,a874)),x102312),x102315))+~P1(f341(f341(f344(f888(x102313,x102313)),f341(f341(f257(x102313,x102313),f721(x102311,x102312,x102315,x102314,x102317,x102316,x102313)),f723(x102311,x102312,x102315,x102314,x102317,x102316,x102313))),x102317))+~P1(f341(f341(f344(f889(x102313,a874)),x102312),f341(f341(f71(x102313),x102316),x102317)))+~P1(f341(f341(f344(f889(x102313,a874)),x102311),f341(f341(f71(x102313),x102316),x102317))) % 197.39/197.44 [9089]~P11(x90891,x90897,x90894)+~E(x90895,x90896)+~P1(f341(f341(f344(x90891),x90893),x90896))+~P1(f341(f341(f344(x90891),x90892),x90895))+~P1(f341(f341(f344(f889(x90891,a874)),x90896),f341(f341(f71(x90891),x90897),x90894)))+~P1(f341(f341(f344(f889(x90891,a874)),x90895),f341(f341(f71(x90891),x90897),x90894)))+P1(f341(f341(f344(f888(x90891,x90891)),f341(f341(f257(x90891,x90891),x90892),x90893)),x90894)) % 197.39/197.44 [9228]E(x92281,x92282)+~P11(x92283,x92284,x92285)+~P1(f341(f341(f344(x92283),x92286),x92282))+~P1(f341(f341(f344(x92283),x92287),x92281))+~P1(f341(f341(f344(f889(x92283,a874)),x92282),f341(f341(f71(x92283),x92284),x92285)))+~P1(f341(f341(f344(f889(x92283,a874)),x92281),f341(f341(f71(x92283),x92284),x92285)))+~P1(f341(f341(f344(f888(x92283,x92283)),f341(f341(f257(x92283,x92283),x92287),x92286)),x92285)) % 197.39/197.44 [10254]~P11(x102549,x102548,x102547)+~P11(x102541,x1025411,x1025410)+~P15(x102541,x102549,f889(x102546,a874),x1025410,x102547,x102545)+P1(f341(f341(f344(x102541),f726(x102542,x102543,x102544,x102545,x102546,x102547,x102548,x102549,x1025410,x1025411,x102541)),x1025411))+~P1(f341(f341(f344(f889(x102549,a874)),x102543),f341(f341(f71(x102549),x102548),x102547)))+~P1(f341(f341(f344(f889(x102541,a874)),x102544),f341(f341(f71(x102541),x1025411),x1025410)))+P1(f341(f341(f344(f889(x102546,a874)),f341(f341(f42(x102541,f889(x102546,a874)),x102544),f341(f341(f10(f889(x102549,f889(x102546,a874)),f889(x102546,a874),x102541),f341(f42(x102549,f889(x102546,a874)),x102543)),x102545))),x102542)) % 197.39/197.44 [10255]~P11(x1025511,x1025510,x102559)+~P11(x102551,x102558,x102557)+~P15(x1025511,x102551,f889(x102556,a874),x102559,x102557,x102555)+P1(f341(f341(f344(x102551),f727(x102552,x102553,x102554,x102555,x102556,x102557,x102558,x102551,x102559,x1025510,x1025511)),x102558))+~P1(f341(f341(f344(f889(x1025511,a874)),x102554),f341(f341(f71(x1025511),x1025510),x102559)))+~P1(f341(f341(f344(f889(x102551,a874)),x102553),f341(f341(f71(x102551),x102558),x102557)))+P1(f341(f341(f344(f889(x102556,a874)),f341(f341(f42(x1025511,f889(x102556,a874)),x102554),f341(f341(f10(f889(x102551,f889(x102556,a874)),f889(x102556,a874),x1025511),f341(f42(x102551,f889(x102556,a874)),x102553)),x102555))),x102552)) % 197.39/197.44 [10256]~P11(x102562,x102568,x102569)+~P11(x102564,x1025610,x1025611)+~P15(x102562,x102564,f889(x102561,a874),x102569,x1025611,x102566)+~P1(f341(f341(f344(f889(x102562,a874)),x102563),f341(f341(f71(x102562),x102568),x102569)))+~P1(f341(f341(f344(f889(x102564,a874)),x102565),f341(f341(f71(x102564),x1025610),x1025611)))+~P1(f341(f341(f344(f889(x102561,a874)),f341(f341(x102566,f726(x102567,x102565,x102563,x102566,x102561,x1025611,x1025610,x102564,x102569,x102568,x102562)),f727(x102567,x102565,x102563,x102566,x102561,x1025611,x1025610,x102564,x102569,x102568,x102562))),x102567))+P1(f341(f341(f344(f889(x102561,a874)),f341(f341(f42(x102562,f889(x102561,a874)),x102563),f341(f341(f10(f889(x102564,f889(x102561,a874)),f889(x102561,a874),x102562),f341(f42(x102564,f889(x102561,a874)),x102565)),x102566))),x102567)) % 197.39/197.44 [9123]E(x91231,x91232)+~P101(x91234)+~P18(x91233,x91234,x91235,f341(f341(f125(f889(x91233,a874)),f341(f176(x91233),x91231)),f341(f176(x91233),x91232)))+~E(f341(f176(x91233),x91231),f341(f176(x91233),x91232))+~P16(x91234,f341(f341(f159(x91233,x91234),x91235),x91232))+~P16(x91234,f341(f341(f159(x91233,x91234),x91235),x91231))+~P1(f341(f142(x91234),f341(f341(f159(x91233,x91234),x91235),x91232)))+~P1(f341(f142(x91234),f341(f341(f159(x91233,x91234),x91235),x91231))) % 197.39/197.44 %EqnAxiom % 197.39/197.44 [1]E(x11,x11) % 197.39/197.44 [2]E(x22,x21)+~E(x21,x22) % 197.39/197.44 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 197.39/197.44 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 197.39/197.44 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 197.39/197.44 [6]~E(x61,x62)+E(f116(x61),f116(x62)) % 197.39/197.44 [7]~E(x71,x72)+E(f31(x71),f31(x72)) % 197.39/197.44 [8]~E(x81,x82)+E(f341(x81,x83),f341(x82,x83)) % 197.39/197.44 [9]~E(x91,x92)+E(f341(x93,x91),f341(x93,x92)) % 197.39/197.44 [10]~E(x101,x102)+E(f95(x101),f95(x102)) % 197.39/197.44 [11]~E(x111,x112)+E(f889(x111,x113),f889(x112,x113)) % 197.39/197.44 [12]~E(x121,x122)+E(f889(x123,x121),f889(x123,x122)) % 197.39/197.44 [13]~E(x131,x132)+E(f169(x131),f169(x132)) % 197.39/197.44 [14]~E(x141,x142)+E(f888(x141,x143),f888(x142,x143)) % 197.39/197.44 [15]~E(x151,x152)+E(f888(x153,x151),f888(x153,x152)) % 197.39/197.44 [16]~E(x161,x162)+E(f117(x161),f117(x162)) % 197.39/197.44 [17]~E(x171,x172)+E(f34(x171),f34(x172)) % 197.39/197.44 [18]~E(x181,x182)+E(f192(x181),f192(x182)) % 197.39/197.44 [19]~E(x191,x192)+E(f125(x191),f125(x192)) % 197.39/197.44 [20]~E(x201,x202)+E(f246(x201),f246(x202)) % 197.39/197.44 [21]~E(x211,x212)+E(f126(x211),f126(x212)) % 197.39/197.44 [22]~E(x221,x222)+E(f193(x221),f193(x222)) % 197.39/197.44 [23]~E(x231,x232)+E(f727(x231,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f727(x232,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312)) % 197.39/197.44 [24]~E(x241,x242)+E(f727(x243,x241,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f727(x243,x242,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412)) % 197.39/197.44 [25]~E(x251,x252)+E(f727(x253,x254,x251,x255,x256,x257,x258,x259,x2510,x2511,x2512),f727(x253,x254,x252,x255,x256,x257,x258,x259,x2510,x2511,x2512)) % 197.39/197.44 [26]~E(x261,x262)+E(f727(x263,x264,x265,x261,x266,x267,x268,x269,x2610,x2611,x2612),f727(x263,x264,x265,x262,x266,x267,x268,x269,x2610,x2611,x2612)) % 197.39/197.44 [27]~E(x271,x272)+E(f727(x273,x274,x275,x276,x271,x277,x278,x279,x2710,x2711,x2712),f727(x273,x274,x275,x276,x272,x277,x278,x279,x2710,x2711,x2712)) % 197.39/197.44 [28]~E(x281,x282)+E(f727(x283,x284,x285,x286,x287,x281,x288,x289,x2810,x2811,x2812),f727(x283,x284,x285,x286,x287,x282,x288,x289,x2810,x2811,x2812)) % 197.39/197.44 [29]~E(x291,x292)+E(f727(x293,x294,x295,x296,x297,x298,x291,x299,x2910,x2911,x2912),f727(x293,x294,x295,x296,x297,x298,x292,x299,x2910,x2911,x2912)) % 197.39/197.44 [30]~E(x301,x302)+E(f727(x303,x304,x305,x306,x307,x308,x309,x301,x3010,x3011,x3012),f727(x303,x304,x305,x306,x307,x308,x309,x302,x3010,x3011,x3012)) % 197.39/197.44 [31]~E(x311,x312)+E(f727(x313,x314,x315,x316,x317,x318,x319,x3110,x311,x3111,x3112),f727(x313,x314,x315,x316,x317,x318,x319,x3110,x312,x3111,x3112)) % 197.39/197.44 [32]~E(x321,x322)+E(f727(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x321,x3212),f727(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x322,x3212)) % 197.39/197.44 [33]~E(x331,x332)+E(f727(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x331),f727(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x332)) % 197.39/197.44 [34]~E(x341,x342)+E(f9(x341,x343,x344),f9(x342,x343,x344)) % 197.39/197.44 [35]~E(x351,x352)+E(f9(x353,x351,x354),f9(x353,x352,x354)) % 197.39/197.44 [36]~E(x361,x362)+E(f9(x363,x364,x361),f9(x363,x364,x362)) % 197.39/197.44 [37]~E(x371,x372)+E(f89(x371),f89(x372)) % 197.39/197.44 [38]~E(x381,x382)+E(f726(x381,x383,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f726(x382,x383,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812)) % 197.39/197.44 [39]~E(x391,x392)+E(f726(x393,x391,x394,x395,x396,x397,x398,x399,x3910,x3911,x3912),f726(x393,x392,x394,x395,x396,x397,x398,x399,x3910,x3911,x3912)) % 197.39/197.44 [40]~E(x401,x402)+E(f726(x403,x404,x401,x405,x406,x407,x408,x409,x4010,x4011,x4012),f726(x403,x404,x402,x405,x406,x407,x408,x409,x4010,x4011,x4012)) % 197.39/197.44 [41]~E(x411,x412)+E(f726(x413,x414,x415,x411,x416,x417,x418,x419,x4110,x4111,x4112),f726(x413,x414,x415,x412,x416,x417,x418,x419,x4110,x4111,x4112)) % 197.39/197.44 [42]~E(x421,x422)+E(f726(x423,x424,x425,x426,x421,x427,x428,x429,x4210,x4211,x4212),f726(x423,x424,x425,x426,x422,x427,x428,x429,x4210,x4211,x4212)) % 197.39/197.44 [43]~E(x431,x432)+E(f726(x433,x434,x435,x436,x437,x431,x438,x439,x4310,x4311,x4312),f726(x433,x434,x435,x436,x437,x432,x438,x439,x4310,x4311,x4312)) % 197.39/197.44 [44]~E(x441,x442)+E(f726(x443,x444,x445,x446,x447,x448,x441,x449,x4410,x4411,x4412),f726(x443,x444,x445,x446,x447,x448,x442,x449,x4410,x4411,x4412)) % 197.39/197.44 [45]~E(x451,x452)+E(f726(x453,x454,x455,x456,x457,x458,x459,x451,x4510,x4511,x4512),f726(x453,x454,x455,x456,x457,x458,x459,x452,x4510,x4511,x4512)) % 197.39/197.44 [46]~E(x461,x462)+E(f726(x463,x464,x465,x466,x467,x468,x469,x4610,x461,x4611,x4612),f726(x463,x464,x465,x466,x467,x468,x469,x4610,x462,x4611,x4612)) % 197.39/197.44 [47]~E(x471,x472)+E(f726(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x471,x4712),f726(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x472,x4712)) % 197.39/197.44 [48]~E(x481,x482)+E(f726(x483,x484,x485,x486,x487,x488,x489,x4810,x4811,x4812,x481),f726(x483,x484,x485,x486,x487,x488,x489,x4810,x4811,x4812,x482)) % 197.39/197.44 [49]~E(x491,x492)+E(f127(x491),f127(x492)) % 197.39/197.44 [50]~E(x501,x502)+E(f344(x501),f344(x502)) % 197.39/197.44 [51]~E(x511,x512)+E(f883(x511),f883(x512)) % 197.39/197.44 [52]~E(x521,x522)+E(f6(x521),f6(x522)) % 197.39/197.44 [53]~E(x531,x532)+E(f72(x531),f72(x532)) % 197.39/197.44 [54]~E(x541,x542)+E(f880(x541),f880(x542)) % 197.39/197.44 [55]~E(x551,x552)+E(f882(x551),f882(x552)) % 197.39/197.44 [56]~E(x561,x562)+E(f885(x561),f885(x562)) % 197.39/197.44 [57]~E(x571,x572)+E(f10(x571,x573,x574),f10(x572,x573,x574)) % 197.39/197.44 [58]~E(x581,x582)+E(f10(x583,x581,x584),f10(x583,x582,x584)) % 197.39/197.44 [59]~E(x591,x592)+E(f10(x593,x594,x591),f10(x593,x594,x592)) % 197.39/197.44 [60]~E(x601,x602)+E(f90(x601),f90(x602)) % 197.39/197.44 [61]~E(x611,x612)+E(f194(x611),f194(x612)) % 197.39/197.44 [62]~E(x621,x622)+E(f92(x621),f92(x622)) % 197.39/197.44 [63]~E(x631,x632)+E(f294(x631),f294(x632)) % 197.39/197.44 [64]~E(x641,x642)+E(f118(x641),f118(x642)) % 197.39/197.44 [65]~E(x651,x652)+E(f241(x651),f241(x652)) % 197.39/197.44 [66]~E(x661,x662)+E(f805(x661,x663,x664),f805(x662,x663,x664)) % 197.39/197.44 [67]~E(x671,x672)+E(f805(x673,x671,x674),f805(x673,x672,x674)) % 197.39/197.44 [68]~E(x681,x682)+E(f805(x683,x684,x681),f805(x683,x684,x682)) % 197.39/197.44 [69]~E(x691,x692)+E(f37(x691),f37(x692)) % 197.39/197.44 [70]~E(x701,x702)+E(f683(x701,x703,x704,x705,x706,x707,x708),f683(x702,x703,x704,x705,x706,x707,x708)) % 197.39/197.44 [71]~E(x711,x712)+E(f683(x713,x711,x714,x715,x716,x717,x718),f683(x713,x712,x714,x715,x716,x717,x718)) % 197.39/197.44 [72]~E(x721,x722)+E(f683(x723,x724,x721,x725,x726,x727,x728),f683(x723,x724,x722,x725,x726,x727,x728)) % 197.39/197.44 [73]~E(x731,x732)+E(f683(x733,x734,x735,x731,x736,x737,x738),f683(x733,x734,x735,x732,x736,x737,x738)) % 197.39/197.44 [74]~E(x741,x742)+E(f683(x743,x744,x745,x746,x741,x747,x748),f683(x743,x744,x745,x746,x742,x747,x748)) % 197.39/197.44 [75]~E(x751,x752)+E(f683(x753,x754,x755,x756,x757,x751,x758),f683(x753,x754,x755,x756,x757,x752,x758)) % 197.39/197.44 [76]~E(x761,x762)+E(f683(x763,x764,x765,x766,x767,x768,x761),f683(x763,x764,x765,x766,x767,x768,x762)) % 197.39/197.44 [77]~E(x771,x772)+E(f71(x771),f71(x772)) % 197.39/197.44 [78]~E(x781,x782)+E(f130(x781,x783),f130(x782,x783)) % 197.39/197.44 [79]~E(x791,x792)+E(f130(x793,x791),f130(x793,x792)) % 197.39/197.44 [80]~E(x801,x802)+E(f173(x801),f173(x802)) % 197.39/197.44 [81]~E(x811,x812)+E(f298(x811),f298(x812)) % 197.39/197.44 [82]~E(x821,x822)+E(f682(x821,x823,x824,x825,x826,x827,x828),f682(x822,x823,x824,x825,x826,x827,x828)) % 197.39/197.44 [83]~E(x831,x832)+E(f682(x833,x831,x834,x835,x836,x837,x838),f682(x833,x832,x834,x835,x836,x837,x838)) % 197.39/197.44 [84]~E(x841,x842)+E(f682(x843,x844,x841,x845,x846,x847,x848),f682(x843,x844,x842,x845,x846,x847,x848)) % 197.39/197.44 [85]~E(x851,x852)+E(f682(x853,x854,x855,x851,x856,x857,x858),f682(x853,x854,x855,x852,x856,x857,x858)) % 197.39/197.44 [86]~E(x861,x862)+E(f682(x863,x864,x865,x866,x861,x867,x868),f682(x863,x864,x865,x866,x862,x867,x868)) % 197.39/197.44 [87]~E(x871,x872)+E(f682(x873,x874,x875,x876,x877,x871,x878),f682(x873,x874,x875,x876,x877,x872,x878)) % 197.39/197.44 [88]~E(x881,x882)+E(f682(x883,x884,x885,x886,x887,x888,x881),f682(x883,x884,x885,x886,x887,x888,x882)) % 197.39/197.44 [89]~E(x891,x892)+E(f7(x891),f7(x892)) % 197.39/197.44 [90]~E(x901,x902)+E(f296(x901,x903,x904),f296(x902,x903,x904)) % 197.39/197.44 [91]~E(x911,x912)+E(f296(x913,x911,x914),f296(x913,x912,x914)) % 197.39/197.44 [92]~E(x921,x922)+E(f296(x923,x924,x921),f296(x923,x924,x922)) % 197.39/197.44 [93]~E(x931,x932)+E(f318(x931),f318(x932)) % 197.39/197.44 [94]~E(x941,x942)+E(f242(x941),f242(x942)) % 197.39/197.44 [95]~E(x951,x952)+E(f257(x951,x953),f257(x952,x953)) % 197.39/197.44 [96]~E(x961,x962)+E(f257(x963,x961),f257(x963,x962)) % 197.39/197.44 [97]~E(x971,x972)+E(f103(x971),f103(x972)) % 197.39/197.44 [98]~E(x981,x982)+E(f129(x981),f129(x982)) % 197.39/197.44 [99]~E(x991,x992)+E(f68(x991),f68(x992)) % 197.39/197.44 [100]~E(x1001,x1002)+E(f536(x1001,x1003,x1004,x1005),f536(x1002,x1003,x1004,x1005)) % 197.39/197.44 [101]~E(x1011,x1012)+E(f536(x1013,x1011,x1014,x1015),f536(x1013,x1012,x1014,x1015)) % 197.39/197.44 [102]~E(x1021,x1022)+E(f536(x1023,x1024,x1021,x1025),f536(x1023,x1024,x1022,x1025)) % 197.39/197.44 [103]~E(x1031,x1032)+E(f536(x1033,x1034,x1035,x1031),f536(x1033,x1034,x1035,x1032)) % 197.39/197.44 [104]~E(x1041,x1042)+E(f20(x1041,x1043,x1044),f20(x1042,x1043,x1044)) % 197.39/197.44 [105]~E(x1051,x1052)+E(f20(x1053,x1051,x1054),f20(x1053,x1052,x1054)) % 197.39/197.44 [106]~E(x1061,x1062)+E(f20(x1063,x1064,x1061),f20(x1063,x1064,x1062)) % 197.39/197.44 [107]~E(x1071,x1072)+E(f91(x1071),f91(x1072)) % 197.39/197.44 [108]~E(x1081,x1082)+E(f551(x1081,x1083),f551(x1082,x1083)) % 197.39/197.44 [109]~E(x1091,x1092)+E(f551(x1093,x1091),f551(x1093,x1092)) % 197.39/197.44 [110]~E(x1101,x1102)+E(f698(x1101,x1103,x1104),f698(x1102,x1103,x1104)) % 197.39/197.44 [111]~E(x1111,x1112)+E(f698(x1113,x1111,x1114),f698(x1113,x1112,x1114)) % 197.39/197.44 [112]~E(x1121,x1122)+E(f698(x1123,x1124,x1121),f698(x1123,x1124,x1122)) % 197.39/197.44 [113]~E(x1131,x1132)+E(f272(x1131,x1133),f272(x1132,x1133)) % 197.39/197.44 [114]~E(x1141,x1142)+E(f272(x1143,x1141),f272(x1143,x1142)) % 197.39/197.44 [115]~E(x1151,x1152)+E(f155(x1151,x1153,x1154,x1155,x1156),f155(x1152,x1153,x1154,x1155,x1156)) % 197.39/197.44 [116]~E(x1161,x1162)+E(f155(x1163,x1161,x1164,x1165,x1166),f155(x1163,x1162,x1164,x1165,x1166)) % 197.39/197.44 [117]~E(x1171,x1172)+E(f155(x1173,x1174,x1171,x1175,x1176),f155(x1173,x1174,x1172,x1175,x1176)) % 197.39/197.44 [118]~E(x1181,x1182)+E(f155(x1183,x1184,x1185,x1181,x1186),f155(x1183,x1184,x1185,x1182,x1186)) % 197.39/197.44 [119]~E(x1191,x1192)+E(f155(x1193,x1194,x1195,x1196,x1191),f155(x1193,x1194,x1195,x1196,x1192)) % 197.39/197.44 [120]~E(x1201,x1202)+E(f111(x1201),f111(x1202)) % 197.39/197.44 [121]~E(x1211,x1212)+E(f38(x1211),f38(x1212)) % 197.39/197.44 [122]~E(x1221,x1222)+E(f163(x1221,x1223),f163(x1222,x1223)) % 197.39/197.44 [123]~E(x1231,x1232)+E(f163(x1233,x1231),f163(x1233,x1232)) % 197.39/197.44 [124]~E(x1241,x1242)+E(f610(x1241,x1243,x1244,x1245),f610(x1242,x1243,x1244,x1245)) % 197.39/197.44 [125]~E(x1251,x1252)+E(f610(x1253,x1251,x1254,x1255),f610(x1253,x1252,x1254,x1255)) % 197.39/197.44 [126]~E(x1261,x1262)+E(f610(x1263,x1264,x1261,x1265),f610(x1263,x1264,x1262,x1265)) % 197.39/197.44 [127]~E(x1271,x1272)+E(f610(x1273,x1274,x1275,x1271),f610(x1273,x1274,x1275,x1272)) % 197.39/197.44 [128]~E(x1281,x1282)+E(f62(x1281,x1283),f62(x1282,x1283)) % 197.39/197.44 [129]~E(x1291,x1292)+E(f62(x1293,x1291),f62(x1293,x1292)) % 197.39/197.44 [130]~E(x1301,x1302)+E(f164(x1301,x1303),f164(x1302,x1303)) % 197.39/197.44 [131]~E(x1311,x1312)+E(f164(x1313,x1311),f164(x1313,x1312)) % 197.39/197.44 [132]~E(x1321,x1322)+E(f513(x1321,x1323),f513(x1322,x1323)) % 197.39/197.44 [133]~E(x1331,x1332)+E(f513(x1333,x1331),f513(x1333,x1332)) % 197.39/197.44 [134]~E(x1341,x1342)+E(f57(x1341,x1343,x1344),f57(x1342,x1343,x1344)) % 197.39/197.44 [135]~E(x1351,x1352)+E(f57(x1353,x1351,x1354),f57(x1353,x1352,x1354)) % 197.39/197.44 [136]~E(x1361,x1362)+E(f57(x1363,x1364,x1361),f57(x1363,x1364,x1362)) % 197.39/197.44 [137]~E(x1371,x1372)+E(f42(x1371,x1373),f42(x1372,x1373)) % 197.39/197.44 [138]~E(x1381,x1382)+E(f42(x1383,x1381),f42(x1383,x1382)) % 197.39/197.44 [139]~E(x1391,x1392)+E(f646(x1391,x1393,x1394),f646(x1392,x1393,x1394)) % 197.39/197.44 [140]~E(x1401,x1402)+E(f646(x1403,x1401,x1404),f646(x1403,x1402,x1404)) % 197.39/197.44 [141]~E(x1411,x1412)+E(f646(x1413,x1414,x1411),f646(x1413,x1414,x1412)) % 197.39/197.44 [142]~E(x1421,x1422)+E(f259(x1421,x1423),f259(x1422,x1423)) % 197.39/197.44 [143]~E(x1431,x1432)+E(f259(x1433,x1431),f259(x1433,x1432)) % 197.39/197.44 [144]~E(x1441,x1442)+E(f317(x1441,x1443),f317(x1442,x1443)) % 197.39/197.44 [145]~E(x1451,x1452)+E(f317(x1453,x1451),f317(x1453,x1452)) % 197.39/197.44 [146]~E(x1461,x1462)+E(f879(x1461,x1463),f879(x1462,x1463)) % 197.39/197.44 [147]~E(x1471,x1472)+E(f879(x1473,x1471),f879(x1473,x1472)) % 197.39/197.44 [148]~E(x1481,x1482)+E(f411(x1481,x1483,x1484),f411(x1482,x1483,x1484)) % 197.39/197.44 [149]~E(x1491,x1492)+E(f411(x1493,x1491,x1494),f411(x1493,x1492,x1494)) % 197.39/197.44 [150]~E(x1501,x1502)+E(f411(x1503,x1504,x1501),f411(x1503,x1504,x1502)) % 197.39/197.44 [151]~E(x1511,x1512)+E(f199(x1511),f199(x1512)) % 197.39/197.44 [152]~E(x1521,x1522)+E(f330(x1521,x1523),f330(x1522,x1523)) % 197.39/197.44 [153]~E(x1531,x1532)+E(f330(x1533,x1531),f330(x1533,x1532)) % 197.39/197.44 [154]~E(x1541,x1542)+E(f120(x1541),f120(x1542)) % 197.39/197.44 [155]~E(x1551,x1552)+E(f122(x1551),f122(x1552)) % 197.39/197.44 [156]~E(x1561,x1562)+E(f342(x1561),f342(x1562)) % 197.39/197.44 [157]~E(x1571,x1572)+E(f725(x1571,x1573,x1574,x1575,x1576,x1577,x1578),f725(x1572,x1573,x1574,x1575,x1576,x1577,x1578)) % 197.39/197.44 [158]~E(x1581,x1582)+E(f725(x1583,x1581,x1584,x1585,x1586,x1587,x1588),f725(x1583,x1582,x1584,x1585,x1586,x1587,x1588)) % 197.39/197.44 [159]~E(x1591,x1592)+E(f725(x1593,x1594,x1591,x1595,x1596,x1597,x1598),f725(x1593,x1594,x1592,x1595,x1596,x1597,x1598)) % 197.39/197.44 [160]~E(x1601,x1602)+E(f725(x1603,x1604,x1605,x1601,x1606,x1607,x1608),f725(x1603,x1604,x1605,x1602,x1606,x1607,x1608)) % 197.39/197.44 [161]~E(x1611,x1612)+E(f725(x1613,x1614,x1615,x1616,x1611,x1617,x1618),f725(x1613,x1614,x1615,x1616,x1612,x1617,x1618)) % 197.39/197.44 [162]~E(x1621,x1622)+E(f725(x1623,x1624,x1625,x1626,x1627,x1621,x1628),f725(x1623,x1624,x1625,x1626,x1627,x1622,x1628)) % 197.39/197.44 [163]~E(x1631,x1632)+E(f725(x1633,x1634,x1635,x1636,x1637,x1638,x1631),f725(x1633,x1634,x1635,x1636,x1637,x1638,x1632)) % 197.39/197.44 [164]~E(x1641,x1642)+E(f97(x1641,x1643),f97(x1642,x1643)) % 197.39/197.44 [165]~E(x1651,x1652)+E(f97(x1653,x1651),f97(x1653,x1652)) % 197.39/197.44 [166]~E(x1661,x1662)+E(f248(x1661,x1663),f248(x1662,x1663)) % 197.39/197.44 [167]~E(x1671,x1672)+E(f248(x1673,x1671),f248(x1673,x1672)) % 197.39/197.44 [168]~E(x1681,x1682)+E(f287(x1681,x1683,x1684,x1685),f287(x1682,x1683,x1684,x1685)) % 197.39/197.44 [169]~E(x1691,x1692)+E(f287(x1693,x1691,x1694,x1695),f287(x1693,x1692,x1694,x1695)) % 197.39/197.44 [170]~E(x1701,x1702)+E(f287(x1703,x1704,x1701,x1705),f287(x1703,x1704,x1702,x1705)) % 197.39/197.44 [171]~E(x1711,x1712)+E(f287(x1713,x1714,x1715,x1711),f287(x1713,x1714,x1715,x1712)) % 197.39/197.44 [172]~E(x1721,x1722)+E(f156(x1721),f156(x1722)) % 197.39/197.44 [173]~E(x1731,x1732)+E(f401(x1731,x1733,x1734),f401(x1732,x1733,x1734)) % 197.39/197.44 [174]~E(x1741,x1742)+E(f401(x1743,x1741,x1744),f401(x1743,x1742,x1744)) % 197.39/197.44 [175]~E(x1751,x1752)+E(f401(x1753,x1754,x1751),f401(x1753,x1754,x1752)) % 197.39/197.44 [176]~E(x1761,x1762)+E(f43(x1761,x1763),f43(x1762,x1763)) % 197.39/197.44 [177]~E(x1771,x1772)+E(f43(x1773,x1771),f43(x1773,x1772)) % 197.39/197.44 [178]~E(x1781,x1782)+E(f147(x1781,x1783,x1784,x1785),f147(x1782,x1783,x1784,x1785)) % 197.39/197.44 [179]~E(x1791,x1792)+E(f147(x1793,x1791,x1794,x1795),f147(x1793,x1792,x1794,x1795)) % 197.39/197.44 [180]~E(x1801,x1802)+E(f147(x1803,x1804,x1801,x1805),f147(x1803,x1804,x1802,x1805)) % 197.39/197.44 [181]~E(x1811,x1812)+E(f147(x1813,x1814,x1815,x1811),f147(x1813,x1814,x1815,x1812)) % 197.39/197.44 [182]~E(x1821,x1822)+E(f142(x1821),f142(x1822)) % 197.39/197.44 [183]~E(x1831,x1832)+E(f93(x1831,x1833),f93(x1832,x1833)) % 197.39/197.44 [184]~E(x1841,x1842)+E(f93(x1843,x1841),f93(x1843,x1842)) % 197.39/197.44 [185]~E(x1851,x1852)+E(f165(x1851,x1853),f165(x1852,x1853)) % 197.39/197.44 [186]~E(x1861,x1862)+E(f165(x1863,x1861),f165(x1863,x1862)) % 197.39/197.44 [187]~E(x1871,x1872)+E(f312(x1871,x1873,x1874),f312(x1872,x1873,x1874)) % 197.39/197.44 [188]~E(x1881,x1882)+E(f312(x1883,x1881,x1884),f312(x1883,x1882,x1884)) % 197.39/197.44 [189]~E(x1891,x1892)+E(f312(x1893,x1894,x1891),f312(x1893,x1894,x1892)) % 197.39/197.44 [190]~E(x1901,x1902)+E(f622(x1901,x1903,x1904,x1905,x1906),f622(x1902,x1903,x1904,x1905,x1906)) % 197.39/197.44 [191]~E(x1911,x1912)+E(f622(x1913,x1911,x1914,x1915,x1916),f622(x1913,x1912,x1914,x1915,x1916)) % 197.39/197.44 [192]~E(x1921,x1922)+E(f622(x1923,x1924,x1921,x1925,x1926),f622(x1923,x1924,x1922,x1925,x1926)) % 197.39/197.44 [193]~E(x1931,x1932)+E(f622(x1933,x1934,x1935,x1931,x1936),f622(x1933,x1934,x1935,x1932,x1936)) % 197.39/197.44 [194]~E(x1941,x1942)+E(f622(x1943,x1944,x1945,x1946,x1941),f622(x1943,x1944,x1945,x1946,x1942)) % 197.39/197.44 [195]~E(x1951,x1952)+E(f267(x1951),f267(x1952)) % 197.39/197.44 [196]~E(x1961,x1962)+E(f468(x1961,x1963,x1964),f468(x1962,x1963,x1964)) % 197.39/197.44 [197]~E(x1971,x1972)+E(f468(x1973,x1971,x1974),f468(x1973,x1972,x1974)) % 197.39/197.44 [198]~E(x1981,x1982)+E(f468(x1983,x1984,x1981),f468(x1983,x1984,x1982)) % 197.39/197.44 [199]~E(x1991,x1992)+E(f295(x1991,x1993),f295(x1992,x1993)) % 197.39/197.44 [200]~E(x2001,x2002)+E(f295(x2003,x2001),f295(x2003,x2002)) % 197.39/197.44 [201]~E(x2011,x2012)+E(f251(x2011),f251(x2012)) % 197.39/197.44 [202]~E(x2021,x2022)+E(f301(x2021,x2023,x2024),f301(x2022,x2023,x2024)) % 197.39/197.44 [203]~E(x2031,x2032)+E(f301(x2033,x2031,x2034),f301(x2033,x2032,x2034)) % 197.39/197.44 [204]~E(x2041,x2042)+E(f301(x2043,x2044,x2041),f301(x2043,x2044,x2042)) % 197.39/197.44 [205]~E(x2051,x2052)+E(f56(x2051),f56(x2052)) % 197.39/197.44 [206]~E(x2061,x2062)+E(f58(x2061,x2063),f58(x2062,x2063)) % 197.39/197.44 [207]~E(x2071,x2072)+E(f58(x2073,x2071),f58(x2073,x2072)) % 197.39/197.44 [208]~E(x2081,x2082)+E(f292(x2081,x2083,x2084),f292(x2082,x2083,x2084)) % 197.39/197.44 [209]~E(x2091,x2092)+E(f292(x2093,x2091,x2094),f292(x2093,x2092,x2094)) % 197.39/197.44 [210]~E(x2101,x2102)+E(f292(x2103,x2104,x2101),f292(x2103,x2104,x2102)) % 197.39/197.44 [211]~E(x2111,x2112)+E(f30(x2111,x2113,x2114),f30(x2112,x2113,x2114)) % 197.39/197.44 [212]~E(x2121,x2122)+E(f30(x2123,x2121,x2124),f30(x2123,x2122,x2124)) % 197.39/197.44 [213]~E(x2131,x2132)+E(f30(x2133,x2134,x2131),f30(x2133,x2134,x2132)) % 197.39/197.44 [214]~E(x2141,x2142)+E(f85(x2141),f85(x2142)) % 197.39/197.44 [215]~E(x2151,x2152)+E(f263(x2151,x2153,x2154,x2155,x2156,x2157),f263(x2152,x2153,x2154,x2155,x2156,x2157)) % 197.39/197.44 [216]~E(x2161,x2162)+E(f263(x2163,x2161,x2164,x2165,x2166,x2167),f263(x2163,x2162,x2164,x2165,x2166,x2167)) % 197.39/197.44 [217]~E(x2171,x2172)+E(f263(x2173,x2174,x2171,x2175,x2176,x2177),f263(x2173,x2174,x2172,x2175,x2176,x2177)) % 197.39/197.44 [218]~E(x2181,x2182)+E(f263(x2183,x2184,x2185,x2181,x2186,x2187),f263(x2183,x2184,x2185,x2182,x2186,x2187)) % 197.39/197.44 [219]~E(x2191,x2192)+E(f263(x2193,x2194,x2195,x2196,x2191,x2197),f263(x2193,x2194,x2195,x2196,x2192,x2197)) % 197.39/197.44 [220]~E(x2201,x2202)+E(f263(x2203,x2204,x2205,x2206,x2207,x2201),f263(x2203,x2204,x2205,x2206,x2207,x2202)) % 197.39/197.44 [221]~E(x2211,x2212)+E(f88(x2211,x2213,x2214,x2215),f88(x2212,x2213,x2214,x2215)) % 197.39/197.44 [222]~E(x2221,x2222)+E(f88(x2223,x2221,x2224,x2225),f88(x2223,x2222,x2224,x2225)) % 197.39/197.44 [223]~E(x2231,x2232)+E(f88(x2233,x2234,x2231,x2235),f88(x2233,x2234,x2232,x2235)) % 197.39/197.44 [224]~E(x2241,x2242)+E(f88(x2243,x2244,x2245,x2241),f88(x2243,x2244,x2245,x2242)) % 197.39/197.44 [225]~E(x2251,x2252)+E(f96(x2251,x2253),f96(x2252,x2253)) % 197.39/197.44 [226]~E(x2261,x2262)+E(f96(x2263,x2261),f96(x2263,x2262)) % 197.39/197.44 [227]~E(x2271,x2272)+E(f777(x2271,x2273),f777(x2272,x2273)) % 197.39/197.44 [228]~E(x2281,x2282)+E(f777(x2283,x2281),f777(x2283,x2282)) % 197.39/197.44 [229]~E(x2291,x2292)+E(f445(x2291,x2293,x2294,x2295),f445(x2292,x2293,x2294,x2295)) % 197.39/197.44 [230]~E(x2301,x2302)+E(f445(x2303,x2301,x2304,x2305),f445(x2303,x2302,x2304,x2305)) % 197.39/197.44 [231]~E(x2311,x2312)+E(f445(x2313,x2314,x2311,x2315),f445(x2313,x2314,x2312,x2315)) % 197.39/197.44 [232]~E(x2321,x2322)+E(f445(x2323,x2324,x2325,x2321),f445(x2323,x2324,x2325,x2322)) % 197.39/197.44 [233]~E(x2331,x2332)+E(f187(x2331),f187(x2332)) % 197.39/197.44 [234]~E(x2341,x2342)+E(f112(x2341,x2343),f112(x2342,x2343)) % 197.39/197.44 [235]~E(x2351,x2352)+E(f112(x2353,x2351),f112(x2353,x2352)) % 197.39/197.44 [236]~E(x2361,x2362)+E(f580(x2361,x2363),f580(x2362,x2363)) % 197.39/197.44 [237]~E(x2371,x2372)+E(f580(x2373,x2371),f580(x2373,x2372)) % 197.39/197.44 [238]~E(x2381,x2382)+E(f8(x2381,x2383),f8(x2382,x2383)) % 197.39/197.44 [239]~E(x2391,x2392)+E(f8(x2393,x2391),f8(x2393,x2392)) % 197.39/197.44 [240]~E(x2401,x2402)+E(f33(x2401,x2403),f33(x2402,x2403)) % 197.39/197.44 [241]~E(x2411,x2412)+E(f33(x2413,x2411),f33(x2413,x2412)) % 197.39/197.44 [242]~E(x2421,x2422)+E(f39(x2421,x2423),f39(x2422,x2423)) % 197.39/197.44 [243]~E(x2431,x2432)+E(f39(x2433,x2431),f39(x2433,x2432)) % 197.39/197.44 [244]~E(x2441,x2442)+E(f309(x2441,x2443),f309(x2442,x2443)) % 197.39/197.44 [245]~E(x2451,x2452)+E(f309(x2453,x2451),f309(x2453,x2452)) % 197.39/197.44 [246]~E(x2461,x2462)+E(f315(x2461,x2463),f315(x2462,x2463)) % 197.39/197.44 [247]~E(x2471,x2472)+E(f315(x2473,x2471),f315(x2473,x2472)) % 197.39/197.44 [248]~E(x2481,x2482)+E(f176(x2481),f176(x2482)) % 197.39/197.44 [249]~E(x2491,x2492)+E(f175(x2491),f175(x2492)) % 197.39/197.44 [250]~E(x2501,x2502)+E(f82(x2501,x2503,x2504),f82(x2502,x2503,x2504)) % 197.39/197.44 [251]~E(x2511,x2512)+E(f82(x2513,x2511,x2514),f82(x2513,x2512,x2514)) % 197.39/197.44 [252]~E(x2521,x2522)+E(f82(x2523,x2524,x2521),f82(x2523,x2524,x2522)) % 197.39/197.44 [253]~E(x2531,x2532)+E(f262(x2531,x2533,x2534),f262(x2532,x2533,x2534)) % 197.39/197.44 [254]~E(x2541,x2542)+E(f262(x2543,x2541,x2544),f262(x2543,x2542,x2544)) % 197.39/197.44 [255]~E(x2551,x2552)+E(f262(x2553,x2554,x2551),f262(x2553,x2554,x2552)) % 197.39/197.44 [256]~E(x2561,x2562)+E(f17(x2561,x2563),f17(x2562,x2563)) % 197.39/197.44 [257]~E(x2571,x2572)+E(f17(x2573,x2571),f17(x2573,x2572)) % 197.39/197.44 [258]~E(x2581,x2582)+E(f144(x2581,x2583),f144(x2582,x2583)) % 197.39/197.44 [259]~E(x2591,x2592)+E(f144(x2593,x2591),f144(x2593,x2592)) % 197.39/197.44 [260]~E(x2601,x2602)+E(f186(x2601,x2603),f186(x2602,x2603)) % 197.39/197.44 [261]~E(x2611,x2612)+E(f186(x2613,x2611),f186(x2613,x2612)) % 197.39/197.44 [262]~E(x2621,x2622)+E(f32(x2621,x2623),f32(x2622,x2623)) % 197.39/197.44 [263]~E(x2631,x2632)+E(f32(x2633,x2631),f32(x2633,x2632)) % 197.39/197.44 [264]~E(x2641,x2642)+E(f261(x2641,x2643),f261(x2642,x2643)) % 197.39/197.44 [265]~E(x2651,x2652)+E(f261(x2653,x2651),f261(x2653,x2652)) % 197.39/197.44 [266]~E(x2661,x2662)+E(f363(x2661,x2663,x2664,x2665,x2666),f363(x2662,x2663,x2664,x2665,x2666)) % 197.39/197.44 [267]~E(x2671,x2672)+E(f363(x2673,x2671,x2674,x2675,x2676),f363(x2673,x2672,x2674,x2675,x2676)) % 197.39/197.44 [268]~E(x2681,x2682)+E(f363(x2683,x2684,x2681,x2685,x2686),f363(x2683,x2684,x2682,x2685,x2686)) % 197.39/197.44 [269]~E(x2691,x2692)+E(f363(x2693,x2694,x2695,x2691,x2696),f363(x2693,x2694,x2695,x2692,x2696)) % 197.39/197.44 [270]~E(x2701,x2702)+E(f363(x2703,x2704,x2705,x2706,x2701),f363(x2703,x2704,x2705,x2706,x2702)) % 197.39/197.44 [271]~E(x2711,x2712)+E(f537(x2711,x2713,x2714,x2715,x2716),f537(x2712,x2713,x2714,x2715,x2716)) % 197.39/197.44 [272]~E(x2721,x2722)+E(f537(x2723,x2721,x2724,x2725,x2726),f537(x2723,x2722,x2724,x2725,x2726)) % 197.39/197.44 [273]~E(x2731,x2732)+E(f537(x2733,x2734,x2731,x2735,x2736),f537(x2733,x2734,x2732,x2735,x2736)) % 197.39/197.44 [274]~E(x2741,x2742)+E(f537(x2743,x2744,x2745,x2741,x2746),f537(x2743,x2744,x2745,x2742,x2746)) % 197.39/197.44 [275]~E(x2751,x2752)+E(f537(x2753,x2754,x2755,x2756,x2751),f537(x2753,x2754,x2755,x2756,x2752)) % 197.39/197.44 [276]~E(x2761,x2762)+E(f157(x2761,x2763),f157(x2762,x2763)) % 197.39/197.44 [277]~E(x2771,x2772)+E(f157(x2773,x2771),f157(x2773,x2772)) % 197.39/197.44 [278]~E(x2781,x2782)+E(f178(x2781,x2783,x2784),f178(x2782,x2783,x2784)) % 197.39/197.44 [279]~E(x2791,x2792)+E(f178(x2793,x2791,x2794),f178(x2793,x2792,x2794)) % 197.39/197.44 [280]~E(x2801,x2802)+E(f178(x2803,x2804,x2801),f178(x2803,x2804,x2802)) % 197.39/197.44 [281]~E(x2811,x2812)+E(f196(x2811),f196(x2812)) % 197.39/197.44 [282]~E(x2821,x2822)+E(f67(x2821,x2823,x2824),f67(x2822,x2823,x2824)) % 197.39/197.44 [283]~E(x2831,x2832)+E(f67(x2833,x2831,x2834),f67(x2833,x2832,x2834)) % 197.39/197.44 [284]~E(x2841,x2842)+E(f67(x2843,x2844,x2841),f67(x2843,x2844,x2842)) % 197.39/197.44 [285]~E(x2851,x2852)+E(f131(x2851),f131(x2852)) % 197.39/197.44 [286]~E(x2861,x2862)+E(f591(x2861,x2863,x2864,x2865,x2866),f591(x2862,x2863,x2864,x2865,x2866)) % 197.39/197.44 [287]~E(x2871,x2872)+E(f591(x2873,x2871,x2874,x2875,x2876),f591(x2873,x2872,x2874,x2875,x2876)) % 197.39/197.44 [288]~E(x2881,x2882)+E(f591(x2883,x2884,x2881,x2885,x2886),f591(x2883,x2884,x2882,x2885,x2886)) % 197.39/197.44 [289]~E(x2891,x2892)+E(f591(x2893,x2894,x2895,x2891,x2896),f591(x2893,x2894,x2895,x2892,x2896)) % 197.39/197.44 [290]~E(x2901,x2902)+E(f591(x2903,x2904,x2905,x2906,x2901),f591(x2903,x2904,x2905,x2906,x2902)) % 197.39/197.44 [291]~E(x2911,x2912)+E(f137(x2911),f137(x2912)) % 197.39/197.44 [292]~E(x2921,x2922)+E(f319(x2921,x2923),f319(x2922,x2923)) % 197.39/197.44 [293]~E(x2931,x2932)+E(f319(x2933,x2931),f319(x2933,x2932)) % 197.39/197.44 [294]~E(x2941,x2942)+E(f886(x2941,x2943),f886(x2942,x2943)) % 197.39/197.44 [295]~E(x2951,x2952)+E(f886(x2953,x2951),f886(x2953,x2952)) % 197.39/197.44 [296]~E(x2961,x2962)+E(f887(x2961,x2963),f887(x2962,x2963)) % 197.39/197.44 [297]~E(x2971,x2972)+E(f887(x2973,x2971),f887(x2973,x2972)) % 197.39/197.44 [298]~E(x2981,x2982)+E(f170(x2981),f170(x2982)) % 197.39/197.44 [299]~E(x2991,x2992)+E(f172(x2991),f172(x2992)) % 197.39/197.44 [300]~E(x3001,x3002)+E(f718(x3001,x3003,x3004,x3005,x3006),f718(x3002,x3003,x3004,x3005,x3006)) % 197.39/197.44 [301]~E(x3011,x3012)+E(f718(x3013,x3011,x3014,x3015,x3016),f718(x3013,x3012,x3014,x3015,x3016)) % 197.39/197.44 [302]~E(x3021,x3022)+E(f718(x3023,x3024,x3021,x3025,x3026),f718(x3023,x3024,x3022,x3025,x3026)) % 197.39/197.44 [303]~E(x3031,x3032)+E(f718(x3033,x3034,x3035,x3031,x3036),f718(x3033,x3034,x3035,x3032,x3036)) % 197.39/197.44 [304]~E(x3041,x3042)+E(f718(x3043,x3044,x3045,x3046,x3041),f718(x3043,x3044,x3045,x3046,x3042)) % 197.39/197.44 [305]~E(x3051,x3052)+E(f525(x3051,x3053,x3054),f525(x3052,x3053,x3054)) % 197.39/197.44 [306]~E(x3061,x3062)+E(f525(x3063,x3061,x3064),f525(x3063,x3062,x3064)) % 197.39/197.44 [307]~E(x3071,x3072)+E(f525(x3073,x3074,x3071),f525(x3073,x3074,x3072)) % 197.39/197.44 [308]~E(x3081,x3082)+E(f310(x3081,x3083,x3084),f310(x3082,x3083,x3084)) % 197.39/197.44 [309]~E(x3091,x3092)+E(f310(x3093,x3091,x3094),f310(x3093,x3092,x3094)) % 197.39/197.44 [310]~E(x3101,x3102)+E(f310(x3103,x3104,x3101),f310(x3103,x3104,x3102)) % 197.39/197.44 [311]~E(x3111,x3112)+E(f113(x3111,x3113),f113(x3112,x3113)) % 197.39/197.44 [312]~E(x3121,x3122)+E(f113(x3123,x3121),f113(x3123,x3122)) % 197.39/197.44 [313]~E(x3131,x3132)+E(f18(x3131,x3133),f18(x3132,x3133)) % 197.39/197.44 [314]~E(x3141,x3142)+E(f18(x3143,x3141),f18(x3143,x3142)) % 197.39/197.44 [315]~E(x3151,x3152)+E(f141(x3151,x3153),f141(x3152,x3153)) % 197.39/197.44 [316]~E(x3161,x3162)+E(f141(x3163,x3161),f141(x3163,x3162)) % 197.39/197.44 [317]~E(x3171,x3172)+E(f159(x3171,x3173),f159(x3172,x3173)) % 197.39/197.44 [318]~E(x3181,x3182)+E(f159(x3183,x3181),f159(x3183,x3182)) % 197.39/197.44 [319]~E(x3191,x3192)+E(f293(x3191,x3193),f293(x3192,x3193)) % 197.39/197.44 [320]~E(x3201,x3202)+E(f293(x3203,x3201),f293(x3203,x3202)) % 197.39/197.44 [321]~E(x3211,x3212)+E(f231(x3211,x3213),f231(x3212,x3213)) % 197.39/197.44 [322]~E(x3221,x3222)+E(f231(x3223,x3221),f231(x3223,x3222)) % 197.39/197.44 [323]~E(x3231,x3232)+E(f425(x3231,x3233,x3234),f425(x3232,x3233,x3234)) % 197.39/197.44 [324]~E(x3241,x3242)+E(f425(x3243,x3241,x3244),f425(x3243,x3242,x3244)) % 197.39/197.44 [325]~E(x3251,x3252)+E(f425(x3253,x3254,x3251),f425(x3253,x3254,x3252)) % 197.39/197.44 [326]~E(x3261,x3262)+E(f388(x3261,x3263,x3264,x3265),f388(x3262,x3263,x3264,x3265)) % 197.39/197.44 [327]~E(x3271,x3272)+E(f388(x3273,x3271,x3274,x3275),f388(x3273,x3272,x3274,x3275)) % 197.39/197.44 [328]~E(x3281,x3282)+E(f388(x3283,x3284,x3281,x3285),f388(x3283,x3284,x3282,x3285)) % 197.39/197.44 [329]~E(x3291,x3292)+E(f388(x3293,x3294,x3295,x3291),f388(x3293,x3294,x3295,x3292)) % 197.39/197.44 [330]~E(x3301,x3302)+E(f452(x3301,x3303),f452(x3302,x3303)) % 197.39/197.44 [331]~E(x3311,x3312)+E(f452(x3313,x3311),f452(x3313,x3312)) % 197.39/197.44 [332]~E(x3321,x3322)+E(f149(x3321,x3323),f149(x3322,x3323)) % 197.39/197.44 [333]~E(x3331,x3332)+E(f149(x3333,x3331),f149(x3333,x3332)) % 197.39/197.44 [334]~E(x3341,x3342)+E(f836(x3341),f836(x3342)) % 197.39/197.44 [335]~E(x3351,x3352)+E(f256(x3351,x3353),f256(x3352,x3353)) % 197.39/197.44 [336]~E(x3361,x3362)+E(f256(x3363,x3361),f256(x3363,x3362)) % 197.39/197.44 [337]~E(x3371,x3372)+E(f180(x3371,x3373,x3374),f180(x3372,x3373,x3374)) % 197.39/197.44 [338]~E(x3381,x3382)+E(f180(x3383,x3381,x3384),f180(x3383,x3382,x3384)) % 197.39/197.44 [339]~E(x3391,x3392)+E(f180(x3393,x3394,x3391),f180(x3393,x3394,x3392)) % 197.39/197.44 [340]~E(x3401,x3402)+E(f332(x3401,x3403),f332(x3402,x3403)) % 197.39/197.44 [341]~E(x3411,x3412)+E(f332(x3413,x3411),f332(x3413,x3412)) % 197.39/197.44 [342]~E(x3421,x3422)+E(f107(x3421,x3423,x3424,x3425),f107(x3422,x3423,x3424,x3425)) % 197.39/197.44 [343]~E(x3431,x3432)+E(f107(x3433,x3431,x3434,x3435),f107(x3433,x3432,x3434,x3435)) % 197.39/197.44 [344]~E(x3441,x3442)+E(f107(x3443,x3444,x3441,x3445),f107(x3443,x3444,x3442,x3445)) % 197.39/197.44 [345]~E(x3451,x3452)+E(f107(x3453,x3454,x3455,x3451),f107(x3453,x3454,x3455,x3452)) % 197.39/197.44 [346]~E(x3461,x3462)+E(f334(x3461,x3463),f334(x3462,x3463)) % 197.39/197.44 [347]~E(x3471,x3472)+E(f334(x3473,x3471),f334(x3473,x3472)) % 197.39/197.44 [348]~E(x3481,x3482)+E(f15(x3481,x3483,x3484),f15(x3482,x3483,x3484)) % 197.39/197.44 [349]~E(x3491,x3492)+E(f15(x3493,x3491,x3494),f15(x3493,x3492,x3494)) % 197.39/197.44 [350]~E(x3501,x3502)+E(f15(x3503,x3504,x3501),f15(x3503,x3504,x3502)) % 197.39/197.44 [351]~E(x3511,x3512)+E(f581(x3511,x3513,x3514,x3515),f581(x3512,x3513,x3514,x3515)) % 197.39/197.44 [352]~E(x3521,x3522)+E(f581(x3523,x3521,x3524,x3525),f581(x3523,x3522,x3524,x3525)) % 197.39/197.44 [353]~E(x3531,x3532)+E(f581(x3533,x3534,x3531,x3535),f581(x3533,x3534,x3532,x3535)) % 197.39/197.44 [354]~E(x3541,x3542)+E(f581(x3543,x3544,x3545,x3541),f581(x3543,x3544,x3545,x3542)) % 197.39/197.44 [355]~E(x3551,x3552)+E(f249(x3551),f249(x3552)) % 197.39/197.44 [356]~E(x3561,x3562)+E(f11(x3561,x3563),f11(x3562,x3563)) % 197.39/197.44 [357]~E(x3571,x3572)+E(f11(x3573,x3571),f11(x3573,x3572)) % 197.39/197.44 [358]~E(x3581,x3582)+E(f329(x3581,x3583),f329(x3582,x3583)) % 197.39/197.44 [359]~E(x3591,x3592)+E(f329(x3593,x3591),f329(x3593,x3592)) % 197.39/197.44 [360]~E(x3601,x3602)+E(f50(x3601,x3603),f50(x3602,x3603)) % 197.39/197.44 [361]~E(x3611,x3612)+E(f50(x3613,x3611),f50(x3613,x3612)) % 197.39/197.44 [362]~E(x3621,x3622)+E(f168(x3621,x3623,x3624,x3625),f168(x3622,x3623,x3624,x3625)) % 197.39/197.44 [363]~E(x3631,x3632)+E(f168(x3633,x3631,x3634,x3635),f168(x3633,x3632,x3634,x3635)) % 197.39/197.44 [364]~E(x3641,x3642)+E(f168(x3643,x3644,x3641,x3645),f168(x3643,x3644,x3642,x3645)) % 197.39/197.44 [365]~E(x3651,x3652)+E(f168(x3653,x3654,x3655,x3651),f168(x3653,x3654,x3655,x3652)) % 197.39/197.44 [366]~E(x3661,x3662)+E(f822(x3661,x3663,x3664),f822(x3662,x3663,x3664)) % 197.39/197.44 [367]~E(x3671,x3672)+E(f822(x3673,x3671,x3674),f822(x3673,x3672,x3674)) % 197.39/197.44 [368]~E(x3681,x3682)+E(f822(x3683,x3684,x3681),f822(x3683,x3684,x3682)) % 197.39/197.44 [369]~E(x3691,x3692)+E(f375(x3691,x3693,x3694,x3695,x3696),f375(x3692,x3693,x3694,x3695,x3696)) % 197.39/197.44 [370]~E(x3701,x3702)+E(f375(x3703,x3701,x3704,x3705,x3706),f375(x3703,x3702,x3704,x3705,x3706)) % 197.39/197.44 [371]~E(x3711,x3712)+E(f375(x3713,x3714,x3711,x3715,x3716),f375(x3713,x3714,x3712,x3715,x3716)) % 197.39/197.44 [372]~E(x3721,x3722)+E(f375(x3723,x3724,x3725,x3721,x3726),f375(x3723,x3724,x3725,x3722,x3726)) % 197.39/197.44 [373]~E(x3731,x3732)+E(f375(x3733,x3734,x3735,x3736,x3731),f375(x3733,x3734,x3735,x3736,x3732)) % 197.39/197.44 [374]~E(x3741,x3742)+E(f60(x3741,x3743),f60(x3742,x3743)) % 197.39/197.44 [375]~E(x3751,x3752)+E(f60(x3753,x3751),f60(x3753,x3752)) % 197.39/197.44 [376]~E(x3761,x3762)+E(f681(x3761,x3763,x3764),f681(x3762,x3763,x3764)) % 197.39/197.44 [377]~E(x3771,x3772)+E(f681(x3773,x3771,x3774),f681(x3773,x3772,x3774)) % 197.39/197.44 [378]~E(x3781,x3782)+E(f681(x3783,x3784,x3781),f681(x3783,x3784,x3782)) % 197.39/197.44 [379]~E(x3791,x3792)+E(f522(x3791,x3793,x3794,x3795),f522(x3792,x3793,x3794,x3795)) % 197.39/197.44 [380]~E(x3801,x3802)+E(f522(x3803,x3801,x3804,x3805),f522(x3803,x3802,x3804,x3805)) % 197.39/197.44 [381]~E(x3811,x3812)+E(f522(x3813,x3814,x3811,x3815),f522(x3813,x3814,x3812,x3815)) % 197.39/197.44 [382]~E(x3821,x3822)+E(f522(x3823,x3824,x3825,x3821),f522(x3823,x3824,x3825,x3822)) % 197.39/197.44 [383]~E(x3831,x3832)+E(f87(x3831,x3833,x3834,x3835,x3836,x3837),f87(x3832,x3833,x3834,x3835,x3836,x3837)) % 197.39/197.44 [384]~E(x3841,x3842)+E(f87(x3843,x3841,x3844,x3845,x3846,x3847),f87(x3843,x3842,x3844,x3845,x3846,x3847)) % 197.39/197.44 [385]~E(x3851,x3852)+E(f87(x3853,x3854,x3851,x3855,x3856,x3857),f87(x3853,x3854,x3852,x3855,x3856,x3857)) % 197.39/197.44 [386]~E(x3861,x3862)+E(f87(x3863,x3864,x3865,x3861,x3866,x3867),f87(x3863,x3864,x3865,x3862,x3866,x3867)) % 197.39/197.44 [387]~E(x3871,x3872)+E(f87(x3873,x3874,x3875,x3876,x3871,x3877),f87(x3873,x3874,x3875,x3876,x3872,x3877)) % 197.39/197.44 [388]~E(x3881,x3882)+E(f87(x3883,x3884,x3885,x3886,x3887,x3881),f87(x3883,x3884,x3885,x3886,x3887,x3882)) % 197.39/197.44 [389]~E(x3891,x3892)+E(f608(x3891,x3893,x3894,x3895),f608(x3892,x3893,x3894,x3895)) % 197.39/197.44 [390]~E(x3901,x3902)+E(f608(x3903,x3901,x3904,x3905),f608(x3903,x3902,x3904,x3905)) % 197.39/197.44 [391]~E(x3911,x3912)+E(f608(x3913,x3914,x3911,x3915),f608(x3913,x3914,x3912,x3915)) % 197.39/197.44 [392]~E(x3921,x3922)+E(f608(x3923,x3924,x3925,x3921),f608(x3923,x3924,x3925,x3922)) % 197.39/197.44 [393]~E(x3931,x3932)+E(f174(x3931,x3933,x3934),f174(x3932,x3933,x3934)) % 197.39/197.44 [394]~E(x3941,x3942)+E(f174(x3943,x3941,x3944),f174(x3943,x3942,x3944)) % 197.39/197.44 [395]~E(x3951,x3952)+E(f174(x3953,x3954,x3951),f174(x3953,x3954,x3952)) % 197.39/197.44 [396]~E(x3961,x3962)+E(f14(x3961,x3963,x3964),f14(x3962,x3963,x3964)) % 197.39/197.44 [397]~E(x3971,x3972)+E(f14(x3973,x3971,x3974),f14(x3973,x3972,x3974)) % 197.39/197.44 [398]~E(x3981,x3982)+E(f14(x3983,x3984,x3981),f14(x3983,x3984,x3982)) % 197.39/197.44 [399]~E(x3991,x3992)+E(f109(x3991,x3993,x3994,x3995),f109(x3992,x3993,x3994,x3995)) % 197.39/197.44 [400]~E(x4001,x4002)+E(f109(x4003,x4001,x4004,x4005),f109(x4003,x4002,x4004,x4005)) % 197.39/197.44 [401]~E(x4011,x4012)+E(f109(x4013,x4014,x4011,x4015),f109(x4013,x4014,x4012,x4015)) % 197.39/197.44 [402]~E(x4021,x4022)+E(f109(x4023,x4024,x4025,x4021),f109(x4023,x4024,x4025,x4022)) % 197.39/197.44 [403]~E(x4031,x4032)+E(f350(x4031,x4033,x4034),f350(x4032,x4033,x4034)) % 197.39/197.44 [404]~E(x4041,x4042)+E(f350(x4043,x4041,x4044),f350(x4043,x4042,x4044)) % 197.39/197.44 [405]~E(x4051,x4052)+E(f350(x4053,x4054,x4051),f350(x4053,x4054,x4052)) % 197.39/197.44 [406]~E(x4061,x4062)+E(f102(x4061,x4063),f102(x4062,x4063)) % 197.39/197.44 [407]~E(x4071,x4072)+E(f102(x4073,x4071),f102(x4073,x4072)) % 197.39/197.44 [408]~E(x4081,x4082)+E(f181(x4081,x4083),f181(x4082,x4083)) % 197.39/197.44 [409]~E(x4091,x4092)+E(f181(x4093,x4091),f181(x4093,x4092)) % 197.39/197.44 [410]~E(x4101,x4102)+E(f158(x4101,x4103),f158(x4102,x4103)) % 197.39/197.44 [411]~E(x4111,x4112)+E(f158(x4113,x4111),f158(x4113,x4112)) % 197.39/197.44 [412]~E(x4121,x4122)+E(f74(x4121,x4123),f74(x4122,x4123)) % 197.39/197.44 [413]~E(x4131,x4132)+E(f74(x4133,x4131),f74(x4133,x4132)) % 197.39/197.44 [414]~E(x4141,x4142)+E(f29(x4141,x4143,x4144),f29(x4142,x4143,x4144)) % 197.39/197.44 [415]~E(x4151,x4152)+E(f29(x4153,x4151,x4154),f29(x4153,x4152,x4154)) % 197.39/197.44 [416]~E(x4161,x4162)+E(f29(x4163,x4164,x4161),f29(x4163,x4164,x4162)) % 197.39/197.44 [417]~E(x4171,x4172)+E(f243(x4171),f243(x4172)) % 197.39/197.44 [418]~E(x4181,x4182)+E(f573(x4181,x4183,x4184,x4185),f573(x4182,x4183,x4184,x4185)) % 197.39/197.44 [419]~E(x4191,x4192)+E(f573(x4193,x4191,x4194,x4195),f573(x4193,x4192,x4194,x4195)) % 197.39/197.44 [420]~E(x4201,x4202)+E(f573(x4203,x4204,x4201,x4205),f573(x4203,x4204,x4202,x4205)) % 197.39/197.44 [421]~E(x4211,x4212)+E(f573(x4213,x4214,x4215,x4211),f573(x4213,x4214,x4215,x4212)) % 197.39/197.44 [422]~E(x4221,x4222)+E(f51(x4221,x4223),f51(x4222,x4223)) % 197.39/197.44 [423]~E(x4231,x4232)+E(f51(x4233,x4231),f51(x4233,x4232)) % 197.39/197.44 [424]~E(x4241,x4242)+E(f811(x4241,x4243,x4244,x4245,x4246),f811(x4242,x4243,x4244,x4245,x4246)) % 197.39/197.44 [425]~E(x4251,x4252)+E(f811(x4253,x4251,x4254,x4255,x4256),f811(x4253,x4252,x4254,x4255,x4256)) % 197.39/197.44 [426]~E(x4261,x4262)+E(f811(x4263,x4264,x4261,x4265,x4266),f811(x4263,x4264,x4262,x4265,x4266)) % 197.39/197.44 [427]~E(x4271,x4272)+E(f811(x4273,x4274,x4275,x4271,x4276),f811(x4273,x4274,x4275,x4272,x4276)) % 197.39/197.44 [428]~E(x4281,x4282)+E(f811(x4283,x4284,x4285,x4286,x4281),f811(x4283,x4284,x4285,x4286,x4282)) % 197.39/197.44 [429]~E(x4291,x4292)+E(f189(x4291),f189(x4292)) % 197.39/197.44 [430]~E(x4301,x4302)+E(f162(x4301,x4303),f162(x4302,x4303)) % 197.39/197.44 [431]~E(x4311,x4312)+E(f162(x4313,x4311),f162(x4313,x4312)) % 197.39/197.44 [432]~E(x4321,x4322)+E(f54(x4321,x4323),f54(x4322,x4323)) % 197.39/197.44 [433]~E(x4331,x4332)+E(f54(x4333,x4331),f54(x4333,x4332)) % 197.39/197.44 [434]~E(x4341,x4342)+E(f304(x4341,x4343,x4344,x4345,x4346),f304(x4342,x4343,x4344,x4345,x4346)) % 197.39/197.44 [435]~E(x4351,x4352)+E(f304(x4353,x4351,x4354,x4355,x4356),f304(x4353,x4352,x4354,x4355,x4356)) % 197.39/197.44 [436]~E(x4361,x4362)+E(f304(x4363,x4364,x4361,x4365,x4366),f304(x4363,x4364,x4362,x4365,x4366)) % 197.39/197.44 [437]~E(x4371,x4372)+E(f304(x4373,x4374,x4375,x4371,x4376),f304(x4373,x4374,x4375,x4372,x4376)) % 197.39/197.44 [438]~E(x4381,x4382)+E(f304(x4383,x4384,x4385,x4386,x4381),f304(x4383,x4384,x4385,x4386,x4382)) % 197.39/197.44 [439]~E(x4391,x4392)+E(f821(x4391,x4393,x4394),f821(x4392,x4393,x4394)) % 197.39/197.44 [440]~E(x4401,x4402)+E(f821(x4403,x4401,x4404),f821(x4403,x4402,x4404)) % 197.39/197.44 [441]~E(x4411,x4412)+E(f821(x4413,x4414,x4411),f821(x4413,x4414,x4412)) % 197.39/197.44 [442]~E(x4421,x4422)+E(f12(x4421,x4423),f12(x4422,x4423)) % 197.39/197.44 [443]~E(x4431,x4432)+E(f12(x4433,x4431),f12(x4433,x4432)) % 197.39/197.44 [444]~E(x4441,x4442)+E(f99(x4441),f99(x4442)) % 197.39/197.44 [445]~E(x4451,x4452)+E(f283(x4451,x4453,x4454,x4455),f283(x4452,x4453,x4454,x4455)) % 197.39/197.44 [446]~E(x4461,x4462)+E(f283(x4463,x4461,x4464,x4465),f283(x4463,x4462,x4464,x4465)) % 197.39/197.44 [447]~E(x4471,x4472)+E(f283(x4473,x4474,x4471,x4475),f283(x4473,x4474,x4472,x4475)) % 197.39/197.44 [448]~E(x4481,x4482)+E(f283(x4483,x4484,x4485,x4481),f283(x4483,x4484,x4485,x4482)) % 197.39/197.44 [449]~E(x4491,x4492)+E(f664(x4491,x4493),f664(x4492,x4493)) % 197.39/197.44 [450]~E(x4501,x4502)+E(f664(x4503,x4501),f664(x4503,x4502)) % 197.39/197.44 [451]~E(x4511,x4512)+E(f423(x4511,x4513,x4514,x4515),f423(x4512,x4513,x4514,x4515)) % 197.39/197.44 [452]~E(x4521,x4522)+E(f423(x4523,x4521,x4524,x4525),f423(x4523,x4522,x4524,x4525)) % 197.39/197.44 [453]~E(x4531,x4532)+E(f423(x4533,x4534,x4531,x4535),f423(x4533,x4534,x4532,x4535)) % 197.39/197.44 [454]~E(x4541,x4542)+E(f423(x4543,x4544,x4545,x4541),f423(x4543,x4544,x4545,x4542)) % 197.39/197.44 [455]~E(x4551,x4552)+E(f182(x4551,x4553),f182(x4552,x4553)) % 197.39/197.44 [456]~E(x4561,x4562)+E(f182(x4563,x4561),f182(x4563,x4562)) % 197.39/197.44 [457]~E(x4571,x4572)+E(f514(x4571,x4573,x4574),f514(x4572,x4573,x4574)) % 197.39/197.44 [458]~E(x4581,x4582)+E(f514(x4583,x4581,x4584),f514(x4583,x4582,x4584)) % 197.39/197.44 [459]~E(x4591,x4592)+E(f514(x4593,x4594,x4591),f514(x4593,x4594,x4592)) % 197.39/197.44 [460]~E(x4601,x4602)+E(f870(x4601,x4603,x4604),f870(x4602,x4603,x4604)) % 197.39/197.44 [461]~E(x4611,x4612)+E(f870(x4613,x4611,x4614),f870(x4613,x4612,x4614)) % 197.39/197.44 [462]~E(x4621,x4622)+E(f870(x4623,x4624,x4621),f870(x4623,x4624,x4622)) % 197.39/197.44 [463]~E(x4631,x4632)+E(f349(x4631,x4633,x4634),f349(x4632,x4633,x4634)) % 197.39/197.44 [464]~E(x4641,x4642)+E(f349(x4643,x4641,x4644),f349(x4643,x4642,x4644)) % 197.39/197.44 [465]~E(x4651,x4652)+E(f349(x4653,x4654,x4651),f349(x4653,x4654,x4652)) % 197.39/197.44 [466]~E(x4661,x4662)+E(f277(x4661,x4663),f277(x4662,x4663)) % 197.39/197.44 [467]~E(x4671,x4672)+E(f277(x4673,x4671),f277(x4673,x4672)) % 197.39/197.44 [468]~E(x4681,x4682)+E(f98(x4681),f98(x4682)) % 197.39/197.44 [469]~E(x4691,x4692)+E(f649(x4691,x4693,x4694),f649(x4692,x4693,x4694)) % 197.39/197.44 [470]~E(x4701,x4702)+E(f649(x4703,x4701,x4704),f649(x4703,x4702,x4704)) % 197.39/197.44 [471]~E(x4711,x4712)+E(f649(x4713,x4714,x4711),f649(x4713,x4714,x4712)) % 197.39/197.44 [472]~E(x4721,x4722)+E(f154(x4721,x4723,x4724),f154(x4722,x4723,x4724)) % 197.39/197.44 [473]~E(x4731,x4732)+E(f154(x4733,x4731,x4734),f154(x4733,x4732,x4734)) % 197.39/197.44 [474]~E(x4741,x4742)+E(f154(x4743,x4744,x4741),f154(x4743,x4744,x4742)) % 197.39/197.44 [475]~E(x4751,x4752)+E(f314(x4751),f314(x4752)) % 197.39/197.44 [476]~E(x4761,x4762)+E(f66(x4761,x4763),f66(x4762,x4763)) % 197.39/197.44 [477]~E(x4771,x4772)+E(f66(x4773,x4771),f66(x4773,x4772)) % 197.39/197.44 [478]~E(x4781,x4782)+E(f146(x4781),f146(x4782)) % 197.39/197.44 [479]~E(x4791,x4792)+E(f184(x4791,x4793),f184(x4792,x4793)) % 197.39/197.44 [480]~E(x4801,x4802)+E(f184(x4803,x4801),f184(x4803,x4802)) % 197.39/197.44 [481]~E(x4811,x4812)+E(f360(x4811,x4813,x4814),f360(x4812,x4813,x4814)) % 197.39/197.44 [482]~E(x4821,x4822)+E(f360(x4823,x4821,x4824),f360(x4823,x4822,x4824)) % 197.39/197.44 [483]~E(x4831,x4832)+E(f360(x4833,x4834,x4831),f360(x4833,x4834,x4832)) % 197.39/197.44 [484]~E(x4841,x4842)+E(f446(x4841,x4843,x4844,x4845),f446(x4842,x4843,x4844,x4845)) % 197.39/197.44 [485]~E(x4851,x4852)+E(f446(x4853,x4851,x4854,x4855),f446(x4853,x4852,x4854,x4855)) % 197.39/197.44 [486]~E(x4861,x4862)+E(f446(x4863,x4864,x4861,x4865),f446(x4863,x4864,x4862,x4865)) % 197.39/197.44 [487]~E(x4871,x4872)+E(f446(x4873,x4874,x4875,x4871),f446(x4873,x4874,x4875,x4872)) % 197.39/197.44 [488]~E(x4881,x4882)+E(f270(x4881,x4883),f270(x4882,x4883)) % 197.39/197.44 [489]~E(x4891,x4892)+E(f270(x4893,x4891),f270(x4893,x4892)) % 197.39/197.44 [490]~E(x4901,x4902)+E(f268(x4901),f268(x4902)) % 197.39/197.44 [491]~E(x4911,x4912)+E(f166(x4911,x4913),f166(x4912,x4913)) % 197.39/197.44 [492]~E(x4921,x4922)+E(f166(x4923,x4921),f166(x4923,x4922)) % 197.39/197.44 [493]~E(x4931,x4932)+E(f209(x4931,x4933),f209(x4932,x4933)) % 197.39/197.44 [494]~E(x4941,x4942)+E(f209(x4943,x4941),f209(x4943,x4942)) % 197.39/197.44 [495]~E(x4951,x4952)+E(f463(x4951,x4953,x4954,x4955),f463(x4952,x4953,x4954,x4955)) % 197.39/197.44 [496]~E(x4961,x4962)+E(f463(x4963,x4961,x4964,x4965),f463(x4963,x4962,x4964,x4965)) % 197.39/197.44 [497]~E(x4971,x4972)+E(f463(x4973,x4974,x4971,x4975),f463(x4973,x4974,x4972,x4975)) % 197.39/197.44 [498]~E(x4981,x4982)+E(f463(x4983,x4984,x4985,x4981),f463(x4983,x4984,x4985,x4982)) % 197.39/197.44 [499]~E(x4991,x4992)+E(f843(x4991),f843(x4992)) % 197.39/197.44 [500]~E(x5001,x5002)+E(f269(x5001),f269(x5002)) % 197.39/197.44 [501]~E(x5011,x5012)+E(f599(x5011),f599(x5012)) % 197.39/197.44 [502]~E(x5021,x5022)+E(f505(x5021,x5023,x5024,x5025),f505(x5022,x5023,x5024,x5025)) % 197.39/197.44 [503]~E(x5031,x5032)+E(f505(x5033,x5031,x5034,x5035),f505(x5033,x5032,x5034,x5035)) % 197.39/197.44 [504]~E(x5041,x5042)+E(f505(x5043,x5044,x5041,x5045),f505(x5043,x5044,x5042,x5045)) % 197.39/197.44 [505]~E(x5051,x5052)+E(f505(x5053,x5054,x5055,x5051),f505(x5053,x5054,x5055,x5052)) % 197.39/197.44 [506]~E(x5061,x5062)+E(f685(x5061,x5063,x5064,x5065),f685(x5062,x5063,x5064,x5065)) % 197.39/197.44 [507]~E(x5071,x5072)+E(f685(x5073,x5071,x5074,x5075),f685(x5073,x5072,x5074,x5075)) % 197.39/197.44 [508]~E(x5081,x5082)+E(f685(x5083,x5084,x5081,x5085),f685(x5083,x5084,x5082,x5085)) % 197.39/197.44 [509]~E(x5091,x5092)+E(f685(x5093,x5094,x5095,x5091),f685(x5093,x5094,x5095,x5092)) % 197.39/197.44 [510]~E(x5101,x5102)+E(f460(x5101,x5103,x5104,x5105),f460(x5102,x5103,x5104,x5105)) % 197.39/197.44 [511]~E(x5111,x5112)+E(f460(x5113,x5111,x5114,x5115),f460(x5113,x5112,x5114,x5115)) % 197.39/197.44 [512]~E(x5121,x5122)+E(f460(x5123,x5124,x5121,x5125),f460(x5123,x5124,x5122,x5125)) % 197.39/197.44 [513]~E(x5131,x5132)+E(f460(x5133,x5134,x5135,x5131),f460(x5133,x5134,x5135,x5132)) % 197.39/197.44 [514]~E(x5141,x5142)+E(f361(x5141,x5143,x5144,x5145,x5146),f361(x5142,x5143,x5144,x5145,x5146)) % 197.39/197.44 [515]~E(x5151,x5152)+E(f361(x5153,x5151,x5154,x5155,x5156),f361(x5153,x5152,x5154,x5155,x5156)) % 197.39/197.44 [516]~E(x5161,x5162)+E(f361(x5163,x5164,x5161,x5165,x5166),f361(x5163,x5164,x5162,x5165,x5166)) % 197.39/197.44 [517]~E(x5171,x5172)+E(f361(x5173,x5174,x5175,x5171,x5176),f361(x5173,x5174,x5175,x5172,x5176)) % 197.39/197.44 [518]~E(x5181,x5182)+E(f361(x5183,x5184,x5185,x5186,x5181),f361(x5183,x5184,x5185,x5186,x5182)) % 197.39/197.44 [519]~E(x5191,x5192)+E(f526(x5191,x5193,x5194,x5195),f526(x5192,x5193,x5194,x5195)) % 197.39/197.44 [520]~E(x5201,x5202)+E(f526(x5203,x5201,x5204,x5205),f526(x5203,x5202,x5204,x5205)) % 197.39/197.44 [521]~E(x5211,x5212)+E(f526(x5213,x5214,x5211,x5215),f526(x5213,x5214,x5212,x5215)) % 197.39/197.44 [522]~E(x5221,x5222)+E(f526(x5223,x5224,x5225,x5221),f526(x5223,x5224,x5225,x5222)) % 197.39/197.44 [523]~E(x5231,x5232)+E(f544(x5231,x5233),f544(x5232,x5233)) % 197.39/197.44 [524]~E(x5241,x5242)+E(f544(x5243,x5241),f544(x5243,x5242)) % 197.39/197.44 [525]~E(x5251,x5252)+E(f316(x5251),f316(x5252)) % 197.39/197.44 [526]~E(x5261,x5262)+E(f276(x5261,x5263,x5264,x5265,x5266,x5267),f276(x5262,x5263,x5264,x5265,x5266,x5267)) % 197.39/197.44 [527]~E(x5271,x5272)+E(f276(x5273,x5271,x5274,x5275,x5276,x5277),f276(x5273,x5272,x5274,x5275,x5276,x5277)) % 197.39/197.44 [528]~E(x5281,x5282)+E(f276(x5283,x5284,x5281,x5285,x5286,x5287),f276(x5283,x5284,x5282,x5285,x5286,x5287)) % 197.39/197.44 [529]~E(x5291,x5292)+E(f276(x5293,x5294,x5295,x5291,x5296,x5297),f276(x5293,x5294,x5295,x5292,x5296,x5297)) % 197.39/197.44 [530]~E(x5301,x5302)+E(f276(x5303,x5304,x5305,x5306,x5301,x5307),f276(x5303,x5304,x5305,x5306,x5302,x5307)) % 197.39/197.44 [531]~E(x5311,x5312)+E(f276(x5313,x5314,x5315,x5316,x5317,x5311),f276(x5313,x5314,x5315,x5316,x5317,x5312)) % 197.39/197.44 [532]~E(x5321,x5322)+E(f313(x5321,x5323,x5324),f313(x5322,x5323,x5324)) % 197.39/197.44 [533]~E(x5331,x5332)+E(f313(x5333,x5331,x5334),f313(x5333,x5332,x5334)) % 197.39/197.44 [534]~E(x5341,x5342)+E(f313(x5343,x5344,x5341),f313(x5343,x5344,x5342)) % 197.39/197.44 [535]~E(x5351,x5352)+E(f834(x5351,x5353,x5354,x5355),f834(x5352,x5353,x5354,x5355)) % 197.39/197.44 [536]~E(x5361,x5362)+E(f834(x5363,x5361,x5364,x5365),f834(x5363,x5362,x5364,x5365)) % 197.39/197.44 [537]~E(x5371,x5372)+E(f834(x5373,x5374,x5371,x5375),f834(x5373,x5374,x5372,x5375)) % 197.39/197.44 [538]~E(x5381,x5382)+E(f834(x5383,x5384,x5385,x5381),f834(x5383,x5384,x5385,x5382)) % 197.39/197.44 [539]~E(x5391,x5392)+E(f75(x5391,x5393,x5394),f75(x5392,x5393,x5394)) % 197.39/197.44 [540]~E(x5401,x5402)+E(f75(x5403,x5401,x5404),f75(x5403,x5402,x5404)) % 197.39/197.44 [541]~E(x5411,x5412)+E(f75(x5413,x5414,x5411),f75(x5413,x5414,x5412)) % 197.39/197.44 [542]~E(x5421,x5422)+E(f728(x5421,x5423),f728(x5422,x5423)) % 197.39/197.44 [543]~E(x5431,x5432)+E(f728(x5433,x5431),f728(x5433,x5432)) % 197.39/197.44 [544]~E(x5441,x5442)+E(f576(x5441,x5443,x5444,x5445),f576(x5442,x5443,x5444,x5445)) % 197.39/197.44 [545]~E(x5451,x5452)+E(f576(x5453,x5451,x5454,x5455),f576(x5453,x5452,x5454,x5455)) % 197.39/197.44 [546]~E(x5461,x5462)+E(f576(x5463,x5464,x5461,x5465),f576(x5463,x5464,x5462,x5465)) % 197.39/197.44 [547]~E(x5471,x5472)+E(f576(x5473,x5474,x5475,x5471),f576(x5473,x5474,x5475,x5472)) % 197.39/197.44 [548]~E(x5481,x5482)+E(f143(x5481),f143(x5482)) % 197.39/197.44 [549]~E(x5491,x5492)+E(f84(x5491,x5493,x5494,x5495,x5496),f84(x5492,x5493,x5494,x5495,x5496)) % 197.39/197.44 [550]~E(x5501,x5502)+E(f84(x5503,x5501,x5504,x5505,x5506),f84(x5503,x5502,x5504,x5505,x5506)) % 197.39/197.44 [551]~E(x5511,x5512)+E(f84(x5513,x5514,x5511,x5515,x5516),f84(x5513,x5514,x5512,x5515,x5516)) % 197.39/197.44 [552]~E(x5521,x5522)+E(f84(x5523,x5524,x5525,x5521,x5526),f84(x5523,x5524,x5525,x5522,x5526)) % 197.39/197.44 [553]~E(x5531,x5532)+E(f84(x5533,x5534,x5535,x5536,x5531),f84(x5533,x5534,x5535,x5536,x5532)) % 197.39/197.44 [554]~E(x5541,x5542)+E(f230(x5541,x5543,x5544),f230(x5542,x5543,x5544)) % 197.39/197.44 [555]~E(x5551,x5552)+E(f230(x5553,x5551,x5554),f230(x5553,x5552,x5554)) % 197.39/197.44 [556]~E(x5561,x5562)+E(f230(x5563,x5564,x5561),f230(x5563,x5564,x5562)) % 197.39/197.44 [557]~E(x5571,x5572)+E(f367(x5571,x5573,x5574),f367(x5572,x5573,x5574)) % 197.39/197.44 [558]~E(x5581,x5582)+E(f367(x5583,x5581,x5584),f367(x5583,x5582,x5584)) % 197.39/197.44 [559]~E(x5591,x5592)+E(f367(x5593,x5594,x5591),f367(x5593,x5594,x5592)) % 197.39/197.44 [560]~E(x5601,x5602)+E(f679(x5601,x5603,x5604,x5605),f679(x5602,x5603,x5604,x5605)) % 197.39/197.44 [561]~E(x5611,x5612)+E(f679(x5613,x5611,x5614,x5615),f679(x5613,x5612,x5614,x5615)) % 197.39/197.44 [562]~E(x5621,x5622)+E(f679(x5623,x5624,x5621,x5625),f679(x5623,x5624,x5622,x5625)) % 197.39/197.44 [563]~E(x5631,x5632)+E(f679(x5633,x5634,x5635,x5631),f679(x5633,x5634,x5635,x5632)) % 197.39/197.44 [564]~E(x5641,x5642)+E(f548(x5641),f548(x5642)) % 197.39/197.44 [565]~E(x5651,x5652)+E(f73(x5651,x5653,x5654),f73(x5652,x5653,x5654)) % 197.39/197.44 [566]~E(x5661,x5662)+E(f73(x5663,x5661,x5664),f73(x5663,x5662,x5664)) % 197.39/197.44 [567]~E(x5671,x5672)+E(f73(x5673,x5674,x5671),f73(x5673,x5674,x5672)) % 197.39/197.44 [568]~E(x5681,x5682)+E(f621(x5681,x5683,x5684,x5685,x5686),f621(x5682,x5683,x5684,x5685,x5686)) % 197.39/197.44 [569]~E(x5691,x5692)+E(f621(x5693,x5691,x5694,x5695,x5696),f621(x5693,x5692,x5694,x5695,x5696)) % 197.39/197.44 [570]~E(x5701,x5702)+E(f621(x5703,x5704,x5701,x5705,x5706),f621(x5703,x5704,x5702,x5705,x5706)) % 197.39/197.44 [571]~E(x5711,x5712)+E(f621(x5713,x5714,x5715,x5711,x5716),f621(x5713,x5714,x5715,x5712,x5716)) % 197.39/197.44 [572]~E(x5721,x5722)+E(f621(x5723,x5724,x5725,x5726,x5721),f621(x5723,x5724,x5725,x5726,x5722)) % 197.39/197.44 [573]~E(x5731,x5732)+E(f518(x5731,x5733,x5734,x5735),f518(x5732,x5733,x5734,x5735)) % 197.39/197.44 [574]~E(x5741,x5742)+E(f518(x5743,x5741,x5744,x5745),f518(x5743,x5742,x5744,x5745)) % 197.39/197.44 [575]~E(x5751,x5752)+E(f518(x5753,x5754,x5751,x5755),f518(x5753,x5754,x5752,x5755)) % 197.39/197.44 [576]~E(x5761,x5762)+E(f518(x5763,x5764,x5765,x5761),f518(x5763,x5764,x5765,x5762)) % 197.39/197.44 [577]~E(x5771,x5772)+E(f222(x5771,x5773),f222(x5772,x5773)) % 197.39/197.44 [578]~E(x5781,x5782)+E(f222(x5783,x5781),f222(x5783,x5782)) % 197.39/197.44 [579]~E(x5791,x5792)+E(f177(x5791),f177(x5792)) % 197.39/197.44 [580]~E(x5801,x5802)+E(f291(x5801),f291(x5802)) % 197.39/197.44 [581]~E(x5811,x5812)+E(f323(x5811,x5813),f323(x5812,x5813)) % 197.39/197.44 [582]~E(x5821,x5822)+E(f323(x5823,x5821),f323(x5823,x5822)) % 197.39/197.44 [583]~E(x5831,x5832)+E(f827(x5831,x5833,x5834,x5835,x5836),f827(x5832,x5833,x5834,x5835,x5836)) % 197.39/197.44 [584]~E(x5841,x5842)+E(f827(x5843,x5841,x5844,x5845,x5846),f827(x5843,x5842,x5844,x5845,x5846)) % 197.39/197.44 [585]~E(x5851,x5852)+E(f827(x5853,x5854,x5851,x5855,x5856),f827(x5853,x5854,x5852,x5855,x5856)) % 197.39/197.44 [586]~E(x5861,x5862)+E(f827(x5863,x5864,x5865,x5861,x5866),f827(x5863,x5864,x5865,x5862,x5866)) % 197.39/197.44 [587]~E(x5871,x5872)+E(f827(x5873,x5874,x5875,x5876,x5871),f827(x5873,x5874,x5875,x5876,x5872)) % 197.39/197.44 [588]~E(x5881,x5882)+E(f476(x5881,x5883,x5884,x5885),f476(x5882,x5883,x5884,x5885)) % 197.39/197.44 [589]~E(x5891,x5892)+E(f476(x5893,x5891,x5894,x5895),f476(x5893,x5892,x5894,x5895)) % 197.39/197.44 [590]~E(x5901,x5902)+E(f476(x5903,x5904,x5901,x5905),f476(x5903,x5904,x5902,x5905)) % 197.39/197.44 [591]~E(x5911,x5912)+E(f476(x5913,x5914,x5915,x5911),f476(x5913,x5914,x5915,x5912)) % 197.39/197.44 [592]~E(x5921,x5922)+E(f510(x5921,x5923,x5924,x5925,x5926),f510(x5922,x5923,x5924,x5925,x5926)) % 197.39/197.44 [593]~E(x5931,x5932)+E(f510(x5933,x5931,x5934,x5935,x5936),f510(x5933,x5932,x5934,x5935,x5936)) % 197.39/197.44 [594]~E(x5941,x5942)+E(f510(x5943,x5944,x5941,x5945,x5946),f510(x5943,x5944,x5942,x5945,x5946)) % 197.39/197.44 [595]~E(x5951,x5952)+E(f510(x5953,x5954,x5955,x5951,x5956),f510(x5953,x5954,x5955,x5952,x5956)) % 197.39/197.44 [596]~E(x5961,x5962)+E(f510(x5963,x5964,x5965,x5966,x5961),f510(x5963,x5964,x5965,x5966,x5962)) % 197.39/197.44 [597]~E(x5971,x5972)+E(f824(x5971,x5973,x5974),f824(x5972,x5973,x5974)) % 197.39/197.44 [598]~E(x5981,x5982)+E(f824(x5983,x5981,x5984),f824(x5983,x5982,x5984)) % 197.39/197.44 [599]~E(x5991,x5992)+E(f824(x5993,x5994,x5991),f824(x5993,x5994,x5992)) % 197.39/197.44 [600]~E(x6001,x6002)+E(f772(x6001,x6003),f772(x6002,x6003)) % 197.39/197.44 [601]~E(x6011,x6012)+E(f772(x6013,x6011),f772(x6013,x6012)) % 197.39/197.44 [602]~E(x6021,x6022)+E(f320(x6021,x6023,x6024),f320(x6022,x6023,x6024)) % 197.39/197.44 [603]~E(x6031,x6032)+E(f320(x6033,x6031,x6034),f320(x6033,x6032,x6034)) % 197.39/197.44 [604]~E(x6041,x6042)+E(f320(x6043,x6044,x6041),f320(x6043,x6044,x6042)) % 197.39/197.44 [605]~E(x6051,x6052)+E(f560(x6051,x6053,x6054,x6055),f560(x6052,x6053,x6054,x6055)) % 197.39/197.44 [606]~E(x6061,x6062)+E(f560(x6063,x6061,x6064,x6065),f560(x6063,x6062,x6064,x6065)) % 197.39/197.44 [607]~E(x6071,x6072)+E(f560(x6073,x6074,x6071,x6075),f560(x6073,x6074,x6072,x6075)) % 197.39/197.44 [608]~E(x6081,x6082)+E(f560(x6083,x6084,x6085,x6081),f560(x6083,x6084,x6085,x6082)) % 197.39/197.44 [609]~E(x6091,x6092)+E(f335(x6091,x6093,x6094),f335(x6092,x6093,x6094)) % 197.39/197.44 [610]~E(x6101,x6102)+E(f335(x6103,x6101,x6104),f335(x6103,x6102,x6104)) % 197.39/197.44 [611]~E(x6111,x6112)+E(f335(x6113,x6114,x6111),f335(x6113,x6114,x6112)) % 197.39/197.44 [612]~E(x6121,x6122)+E(f59(x6121,x6123),f59(x6122,x6123)) % 197.39/197.44 [613]~E(x6131,x6132)+E(f59(x6133,x6131),f59(x6133,x6132)) % 197.39/197.44 [614]~E(x6141,x6142)+E(f754(x6141),f754(x6142)) % 197.39/197.44 [615]~E(x6151,x6152)+E(f795(x6151,x6153,x6154,x6155,x6156),f795(x6152,x6153,x6154,x6155,x6156)) % 197.39/197.44 [616]~E(x6161,x6162)+E(f795(x6163,x6161,x6164,x6165,x6166),f795(x6163,x6162,x6164,x6165,x6166)) % 197.39/197.44 [617]~E(x6171,x6172)+E(f795(x6173,x6174,x6171,x6175,x6176),f795(x6173,x6174,x6172,x6175,x6176)) % 197.39/197.44 [618]~E(x6181,x6182)+E(f795(x6183,x6184,x6185,x6181,x6186),f795(x6183,x6184,x6185,x6182,x6186)) % 197.39/197.44 [619]~E(x6191,x6192)+E(f795(x6193,x6194,x6195,x6196,x6191),f795(x6193,x6194,x6195,x6196,x6192)) % 197.39/197.44 [620]~E(x6201,x6202)+E(f300(x6201,x6203),f300(x6202,x6203)) % 197.39/197.44 [621]~E(x6211,x6212)+E(f300(x6213,x6211),f300(x6213,x6212)) % 197.39/197.44 [622]~E(x6221,x6222)+E(f850(x6221,x6223,x6224),f850(x6222,x6223,x6224)) % 197.39/197.44 [623]~E(x6231,x6232)+E(f850(x6233,x6231,x6234),f850(x6233,x6232,x6234)) % 197.39/197.44 [624]~E(x6241,x6242)+E(f850(x6243,x6244,x6241),f850(x6243,x6244,x6242)) % 197.39/197.44 [625]~E(x6251,x6252)+E(f384(x6251,x6253,x6254,x6255),f384(x6252,x6253,x6254,x6255)) % 197.39/197.44 [626]~E(x6261,x6262)+E(f384(x6263,x6261,x6264,x6265),f384(x6263,x6262,x6264,x6265)) % 197.39/197.44 [627]~E(x6271,x6272)+E(f384(x6273,x6274,x6271,x6275),f384(x6273,x6274,x6272,x6275)) % 197.39/197.44 [628]~E(x6281,x6282)+E(f384(x6283,x6284,x6285,x6281),f384(x6283,x6284,x6285,x6282)) % 197.39/197.44 [629]~E(x6291,x6292)+E(f856(x6291,x6293,x6294),f856(x6292,x6293,x6294)) % 197.39/197.44 [630]~E(x6301,x6302)+E(f856(x6303,x6301,x6304),f856(x6303,x6302,x6304)) % 197.39/197.44 [631]~E(x6311,x6312)+E(f856(x6313,x6314,x6311),f856(x6313,x6314,x6312)) % 197.39/197.44 [632]~E(x6321,x6322)+E(f806(x6321,x6323,x6324),f806(x6322,x6323,x6324)) % 197.39/197.44 [633]~E(x6331,x6332)+E(f806(x6333,x6331,x6334),f806(x6333,x6332,x6334)) % 197.39/197.44 [634]~E(x6341,x6342)+E(f806(x6343,x6344,x6341),f806(x6343,x6344,x6342)) % 197.39/197.44 [635]~E(x6351,x6352)+E(f864(x6351,x6353,x6354,x6355,x6356,x6357,x6358,x6359),f864(x6352,x6353,x6354,x6355,x6356,x6357,x6358,x6359)) % 197.39/197.44 [636]~E(x6361,x6362)+E(f864(x6363,x6361,x6364,x6365,x6366,x6367,x6368,x6369),f864(x6363,x6362,x6364,x6365,x6366,x6367,x6368,x6369)) % 197.39/197.44 [637]~E(x6371,x6372)+E(f864(x6373,x6374,x6371,x6375,x6376,x6377,x6378,x6379),f864(x6373,x6374,x6372,x6375,x6376,x6377,x6378,x6379)) % 197.39/197.44 [638]~E(x6381,x6382)+E(f864(x6383,x6384,x6385,x6381,x6386,x6387,x6388,x6389),f864(x6383,x6384,x6385,x6382,x6386,x6387,x6388,x6389)) % 197.39/197.44 [639]~E(x6391,x6392)+E(f864(x6393,x6394,x6395,x6396,x6391,x6397,x6398,x6399),f864(x6393,x6394,x6395,x6396,x6392,x6397,x6398,x6399)) % 197.39/197.44 [640]~E(x6401,x6402)+E(f864(x6403,x6404,x6405,x6406,x6407,x6401,x6408,x6409),f864(x6403,x6404,x6405,x6406,x6407,x6402,x6408,x6409)) % 197.39/197.44 [641]~E(x6411,x6412)+E(f864(x6413,x6414,x6415,x6416,x6417,x6418,x6411,x6419),f864(x6413,x6414,x6415,x6416,x6417,x6418,x6412,x6419)) % 197.39/197.44 [642]~E(x6421,x6422)+E(f864(x6423,x6424,x6425,x6426,x6427,x6428,x6429,x6421),f864(x6423,x6424,x6425,x6426,x6427,x6428,x6429,x6422)) % 197.39/197.44 [643]~E(x6431,x6432)+E(f648(x6431,x6433,x6434,x6435),f648(x6432,x6433,x6434,x6435)) % 197.39/197.44 [644]~E(x6441,x6442)+E(f648(x6443,x6441,x6444,x6445),f648(x6443,x6442,x6444,x6445)) % 197.39/197.44 [645]~E(x6451,x6452)+E(f648(x6453,x6454,x6451,x6455),f648(x6453,x6454,x6452,x6455)) % 197.39/197.44 [646]~E(x6461,x6462)+E(f648(x6463,x6464,x6465,x6461),f648(x6463,x6464,x6465,x6462)) % 197.39/197.44 [647]~E(x6471,x6472)+E(f478(x6471,x6473,x6474,x6475,x6476),f478(x6472,x6473,x6474,x6475,x6476)) % 197.39/197.44 [648]~E(x6481,x6482)+E(f478(x6483,x6481,x6484,x6485,x6486),f478(x6483,x6482,x6484,x6485,x6486)) % 197.39/197.44 [649]~E(x6491,x6492)+E(f478(x6493,x6494,x6491,x6495,x6496),f478(x6493,x6494,x6492,x6495,x6496)) % 197.39/197.44 [650]~E(x6501,x6502)+E(f478(x6503,x6504,x6505,x6501,x6506),f478(x6503,x6504,x6505,x6502,x6506)) % 197.39/197.44 [651]~E(x6511,x6512)+E(f478(x6513,x6514,x6515,x6516,x6511),f478(x6513,x6514,x6515,x6516,x6512)) % 197.39/197.44 [652]~E(x6521,x6522)+E(f556(x6521,x6523,x6524),f556(x6522,x6523,x6524)) % 197.39/197.44 [653]~E(x6531,x6532)+E(f556(x6533,x6531,x6534),f556(x6533,x6532,x6534)) % 197.39/197.44 [654]~E(x6541,x6542)+E(f556(x6543,x6544,x6541),f556(x6543,x6544,x6542)) % 197.39/197.44 [655]~E(x6551,x6552)+E(f625(x6551,x6553,x6554,x6555,x6556,x6557),f625(x6552,x6553,x6554,x6555,x6556,x6557)) % 197.39/197.44 [656]~E(x6561,x6562)+E(f625(x6563,x6561,x6564,x6565,x6566,x6567),f625(x6563,x6562,x6564,x6565,x6566,x6567)) % 197.39/197.44 [657]~E(x6571,x6572)+E(f625(x6573,x6574,x6571,x6575,x6576,x6577),f625(x6573,x6574,x6572,x6575,x6576,x6577)) % 197.39/197.44 [658]~E(x6581,x6582)+E(f625(x6583,x6584,x6585,x6581,x6586,x6587),f625(x6583,x6584,x6585,x6582,x6586,x6587)) % 197.39/197.44 [659]~E(x6591,x6592)+E(f625(x6593,x6594,x6595,x6596,x6591,x6597),f625(x6593,x6594,x6595,x6596,x6592,x6597)) % 197.39/197.44 [660]~E(x6601,x6602)+E(f625(x6603,x6604,x6605,x6606,x6607,x6601),f625(x6603,x6604,x6605,x6606,x6607,x6602)) % 197.39/197.44 [661]~E(x6611,x6612)+E(f846(x6611),f846(x6612)) % 197.39/197.44 [662]~E(x6621,x6622)+E(f557(x6621,x6623,x6624,x6625),f557(x6622,x6623,x6624,x6625)) % 197.39/197.44 [663]~E(x6631,x6632)+E(f557(x6633,x6631,x6634,x6635),f557(x6633,x6632,x6634,x6635)) % 197.39/197.44 [664]~E(x6641,x6642)+E(f557(x6643,x6644,x6641,x6645),f557(x6643,x6644,x6642,x6645)) % 197.39/197.44 [665]~E(x6651,x6652)+E(f557(x6653,x6654,x6655,x6651),f557(x6653,x6654,x6655,x6652)) % 197.39/197.44 [666]~E(x6661,x6662)+E(f469(x6661,x6663,x6664,x6665),f469(x6662,x6663,x6664,x6665)) % 197.39/197.44 [667]~E(x6671,x6672)+E(f469(x6673,x6671,x6674,x6675),f469(x6673,x6672,x6674,x6675)) % 197.39/197.44 [668]~E(x6681,x6682)+E(f469(x6683,x6684,x6681,x6685),f469(x6683,x6684,x6682,x6685)) % 197.39/197.44 [669]~E(x6691,x6692)+E(f469(x6693,x6694,x6695,x6691),f469(x6693,x6694,x6695,x6692)) % 197.39/197.44 [670]~E(x6701,x6702)+E(f297(x6701,x6703,x6704,x6705),f297(x6702,x6703,x6704,x6705)) % 197.39/197.44 [671]~E(x6711,x6712)+E(f297(x6713,x6711,x6714,x6715),f297(x6713,x6712,x6714,x6715)) % 197.39/197.44 [672]~E(x6721,x6722)+E(f297(x6723,x6724,x6721,x6725),f297(x6723,x6724,x6722,x6725)) % 197.39/197.44 [673]~E(x6731,x6732)+E(f297(x6733,x6734,x6735,x6731),f297(x6733,x6734,x6735,x6732)) % 197.39/197.44 [674]~E(x6741,x6742)+E(f387(x6741,x6743,x6744,x6745),f387(x6742,x6743,x6744,x6745)) % 197.39/197.44 [675]~E(x6751,x6752)+E(f387(x6753,x6751,x6754,x6755),f387(x6753,x6752,x6754,x6755)) % 197.39/197.44 [676]~E(x6761,x6762)+E(f387(x6763,x6764,x6761,x6765),f387(x6763,x6764,x6762,x6765)) % 197.39/197.44 [677]~E(x6771,x6772)+E(f387(x6773,x6774,x6775,x6771),f387(x6773,x6774,x6775,x6772)) % 197.39/197.44 [678]~E(x6781,x6782)+E(f585(x6781,x6783,x6784,x6785),f585(x6782,x6783,x6784,x6785)) % 197.39/197.44 [679]~E(x6791,x6792)+E(f585(x6793,x6791,x6794,x6795),f585(x6793,x6792,x6794,x6795)) % 197.39/197.44 [680]~E(x6801,x6802)+E(f585(x6803,x6804,x6801,x6805),f585(x6803,x6804,x6802,x6805)) % 197.39/197.44 [681]~E(x6811,x6812)+E(f585(x6813,x6814,x6815,x6811),f585(x6813,x6814,x6815,x6812)) % 197.39/197.44 [682]~E(x6821,x6822)+E(f274(x6821,x6823),f274(x6822,x6823)) % 197.39/197.44 [683]~E(x6831,x6832)+E(f274(x6833,x6831),f274(x6833,x6832)) % 197.39/197.44 [684]~E(x6841,x6842)+E(f872(x6841,x6843,x6844,x6845,x6846),f872(x6842,x6843,x6844,x6845,x6846)) % 197.39/197.44 [685]~E(x6851,x6852)+E(f872(x6853,x6851,x6854,x6855,x6856),f872(x6853,x6852,x6854,x6855,x6856)) % 197.39/197.44 [686]~E(x6861,x6862)+E(f872(x6863,x6864,x6861,x6865,x6866),f872(x6863,x6864,x6862,x6865,x6866)) % 197.39/197.44 [687]~E(x6871,x6872)+E(f872(x6873,x6874,x6875,x6871,x6876),f872(x6873,x6874,x6875,x6872,x6876)) % 197.39/197.44 [688]~E(x6881,x6882)+E(f872(x6883,x6884,x6885,x6886,x6881),f872(x6883,x6884,x6885,x6886,x6882)) % 197.39/197.44 [689]~E(x6891,x6892)+E(f13(x6891,x6893),f13(x6892,x6893)) % 197.39/197.44 [690]~E(x6901,x6902)+E(f13(x6903,x6901),f13(x6903,x6902)) % 197.39/197.44 [691]~E(x6911,x6912)+E(f61(x6911,x6913),f61(x6912,x6913)) % 197.39/197.44 [692]~E(x6921,x6922)+E(f61(x6923,x6921),f61(x6923,x6922)) % 197.39/197.44 [693]~E(x6931,x6932)+E(f605(x6931,x6933,x6934),f605(x6932,x6933,x6934)) % 197.39/197.44 [694]~E(x6941,x6942)+E(f605(x6943,x6941,x6944),f605(x6943,x6942,x6944)) % 197.39/197.44 [695]~E(x6951,x6952)+E(f605(x6953,x6954,x6951),f605(x6953,x6954,x6952)) % 197.39/197.44 [696]~E(x6961,x6962)+E(f324(x6961,x6963,x6964,x6965),f324(x6962,x6963,x6964,x6965)) % 197.39/197.44 [697]~E(x6971,x6972)+E(f324(x6973,x6971,x6974,x6975),f324(x6973,x6972,x6974,x6975)) % 197.39/197.44 [698]~E(x6981,x6982)+E(f324(x6983,x6984,x6981,x6985),f324(x6983,x6984,x6982,x6985)) % 197.39/197.44 [699]~E(x6991,x6992)+E(f324(x6993,x6994,x6995,x6991),f324(x6993,x6994,x6995,x6992)) % 197.39/197.44 [700]~E(x7001,x7002)+E(f381(x7001,x7003,x7004),f381(x7002,x7003,x7004)) % 197.39/197.44 [701]~E(x7011,x7012)+E(f381(x7013,x7011,x7014),f381(x7013,x7012,x7014)) % 197.39/197.44 [702]~E(x7021,x7022)+E(f381(x7023,x7024,x7021),f381(x7023,x7024,x7022)) % 197.39/197.44 [703]~E(x7031,x7032)+E(f586(x7031,x7033,x7034),f586(x7032,x7033,x7034)) % 197.39/197.44 [704]~E(x7041,x7042)+E(f586(x7043,x7041,x7044),f586(x7043,x7042,x7044)) % 197.39/197.44 [705]~E(x7051,x7052)+E(f586(x7053,x7054,x7051),f586(x7053,x7054,x7052)) % 197.39/197.44 [706]~E(x7061,x7062)+E(f678(x7061,x7063,x7064),f678(x7062,x7063,x7064)) % 197.39/197.44 [707]~E(x7071,x7072)+E(f678(x7073,x7071,x7074),f678(x7073,x7072,x7074)) % 197.39/197.44 [708]~E(x7081,x7082)+E(f678(x7083,x7084,x7081),f678(x7083,x7084,x7082)) % 197.39/197.44 [709]~E(x7091,x7092)+E(f702(x7091,x7093,x7094,x7095),f702(x7092,x7093,x7094,x7095)) % 197.39/197.44 [710]~E(x7101,x7102)+E(f702(x7103,x7101,x7104,x7105),f702(x7103,x7102,x7104,x7105)) % 197.39/197.44 [711]~E(x7111,x7112)+E(f702(x7113,x7114,x7111,x7115),f702(x7113,x7114,x7112,x7115)) % 197.39/197.44 [712]~E(x7121,x7122)+E(f702(x7123,x7124,x7125,x7121),f702(x7123,x7124,x7125,x7122)) % 197.39/197.44 [713]~E(x7131,x7132)+E(f553(x7131,x7133,x7134),f553(x7132,x7133,x7134)) % 197.39/197.44 [714]~E(x7141,x7142)+E(f553(x7143,x7141,x7144),f553(x7143,x7142,x7144)) % 197.39/197.44 [715]~E(x7151,x7152)+E(f553(x7153,x7154,x7151),f553(x7153,x7154,x7152)) % 197.39/197.44 [716]~E(x7161,x7162)+E(f205(x7161,x7163,x7164,x7165),f205(x7162,x7163,x7164,x7165)) % 197.39/197.44 [717]~E(x7171,x7172)+E(f205(x7173,x7171,x7174,x7175),f205(x7173,x7172,x7174,x7175)) % 197.39/197.44 [718]~E(x7181,x7182)+E(f205(x7183,x7184,x7181,x7185),f205(x7183,x7184,x7182,x7185)) % 197.39/197.44 [719]~E(x7191,x7192)+E(f205(x7193,x7194,x7195,x7191),f205(x7193,x7194,x7195,x7192)) % 197.39/197.44 [720]~E(x7201,x7202)+E(f65(x7201,x7203),f65(x7202,x7203)) % 197.39/197.44 [721]~E(x7211,x7212)+E(f65(x7213,x7211),f65(x7213,x7212)) % 197.39/197.44 [722]~E(x7221,x7222)+E(f696(x7221,x7223,x7224,x7225),f696(x7222,x7223,x7224,x7225)) % 197.39/197.44 [723]~E(x7231,x7232)+E(f696(x7233,x7231,x7234,x7235),f696(x7233,x7232,x7234,x7235)) % 197.39/197.44 [724]~E(x7241,x7242)+E(f696(x7243,x7244,x7241,x7245),f696(x7243,x7244,x7242,x7245)) % 197.39/197.44 [725]~E(x7251,x7252)+E(f696(x7253,x7254,x7255,x7251),f696(x7253,x7254,x7255,x7252)) % 197.39/197.44 [726]~E(x7261,x7262)+E(f238(x7261,x7263,x7264,x7265),f238(x7262,x7263,x7264,x7265)) % 197.39/197.44 [727]~E(x7271,x7272)+E(f238(x7273,x7271,x7274,x7275),f238(x7273,x7272,x7274,x7275)) % 197.39/197.44 [728]~E(x7281,x7282)+E(f238(x7283,x7284,x7281,x7285),f238(x7283,x7284,x7282,x7285)) % 197.39/197.44 [729]~E(x7291,x7292)+E(f238(x7293,x7294,x7295,x7291),f238(x7293,x7294,x7295,x7292)) % 197.39/197.44 [730]~E(x7301,x7302)+E(f152(x7301,x7303),f152(x7302,x7303)) % 197.39/197.44 [731]~E(x7311,x7312)+E(f152(x7313,x7311),f152(x7313,x7312)) % 197.39/197.44 [732]~E(x7321,x7322)+E(f600(x7321,x7323),f600(x7322,x7323)) % 197.39/197.44 [733]~E(x7331,x7332)+E(f600(x7333,x7331),f600(x7333,x7332)) % 197.39/197.44 [734]~E(x7341,x7342)+E(f333(x7341,x7343,x7344,x7345),f333(x7342,x7343,x7344,x7345)) % 197.39/197.44 [735]~E(x7351,x7352)+E(f333(x7353,x7351,x7354,x7355),f333(x7353,x7352,x7354,x7355)) % 197.39/197.44 [736]~E(x7361,x7362)+E(f333(x7363,x7364,x7361,x7365),f333(x7363,x7364,x7362,x7365)) % 197.39/197.44 [737]~E(x7371,x7372)+E(f333(x7373,x7374,x7375,x7371),f333(x7373,x7374,x7375,x7372)) % 197.39/197.44 [738]~E(x7381,x7382)+E(f86(x7381,x7383,x7384,x7385,x7386),f86(x7382,x7383,x7384,x7385,x7386)) % 197.39/197.44 [739]~E(x7391,x7392)+E(f86(x7393,x7391,x7394,x7395,x7396),f86(x7393,x7392,x7394,x7395,x7396)) % 197.39/197.44 [740]~E(x7401,x7402)+E(f86(x7403,x7404,x7401,x7405,x7406),f86(x7403,x7404,x7402,x7405,x7406)) % 197.39/197.44 [741]~E(x7411,x7412)+E(f86(x7413,x7414,x7415,x7411,x7416),f86(x7413,x7414,x7415,x7412,x7416)) % 197.39/197.44 [742]~E(x7421,x7422)+E(f86(x7423,x7424,x7425,x7426,x7421),f86(x7423,x7424,x7425,x7426,x7422)) % 197.39/197.44 [743]~E(x7431,x7432)+E(f508(x7431,x7433,x7434,x7435),f508(x7432,x7433,x7434,x7435)) % 197.39/197.44 [744]~E(x7441,x7442)+E(f508(x7443,x7441,x7444,x7445),f508(x7443,x7442,x7444,x7445)) % 197.39/197.44 [745]~E(x7451,x7452)+E(f508(x7453,x7454,x7451,x7455),f508(x7453,x7454,x7452,x7455)) % 197.39/197.44 [746]~E(x7461,x7462)+E(f508(x7463,x7464,x7465,x7461),f508(x7463,x7464,x7465,x7462)) % 197.39/197.44 [747]~E(x7471,x7472)+E(f857(x7471,x7473,x7474),f857(x7472,x7473,x7474)) % 197.39/197.44 [748]~E(x7481,x7482)+E(f857(x7483,x7481,x7484),f857(x7483,x7482,x7484)) % 197.39/197.44 [749]~E(x7491,x7492)+E(f857(x7493,x7494,x7491),f857(x7493,x7494,x7492)) % 197.39/197.44 [750]~E(x7501,x7502)+E(f250(x7501,x7503,x7504),f250(x7502,x7503,x7504)) % 197.39/197.44 [751]~E(x7511,x7512)+E(f250(x7513,x7511,x7514),f250(x7513,x7512,x7514)) % 197.39/197.44 [752]~E(x7521,x7522)+E(f250(x7523,x7524,x7521),f250(x7523,x7524,x7522)) % 197.39/197.44 [753]~E(x7531,x7532)+E(f203(x7531,x7533,x7534,x7535),f203(x7532,x7533,x7534,x7535)) % 197.39/197.44 [754]~E(x7541,x7542)+E(f203(x7543,x7541,x7544,x7545),f203(x7543,x7542,x7544,x7545)) % 197.39/197.44 [755]~E(x7551,x7552)+E(f203(x7553,x7554,x7551,x7555),f203(x7553,x7554,x7552,x7555)) % 197.39/197.44 [756]~E(x7561,x7562)+E(f203(x7563,x7564,x7565,x7561),f203(x7563,x7564,x7565,x7562)) % 197.39/197.44 [757]~E(x7571,x7572)+E(f285(x7571,x7573),f285(x7572,x7573)) % 197.39/197.44 [758]~E(x7581,x7582)+E(f285(x7583,x7581),f285(x7583,x7582)) % 197.39/197.44 [759]~E(x7591,x7592)+E(f618(x7591,x7593,x7594,x7595,x7596),f618(x7592,x7593,x7594,x7595,x7596)) % 197.39/197.44 [760]~E(x7601,x7602)+E(f618(x7603,x7601,x7604,x7605,x7606),f618(x7603,x7602,x7604,x7605,x7606)) % 197.39/197.44 [761]~E(x7611,x7612)+E(f618(x7613,x7614,x7611,x7615,x7616),f618(x7613,x7614,x7612,x7615,x7616)) % 197.39/197.44 [762]~E(x7621,x7622)+E(f618(x7623,x7624,x7625,x7621,x7626),f618(x7623,x7624,x7625,x7622,x7626)) % 197.39/197.44 [763]~E(x7631,x7632)+E(f618(x7633,x7634,x7635,x7636,x7631),f618(x7633,x7634,x7635,x7636,x7632)) % 197.39/197.44 [764]~E(x7641,x7642)+E(f419(x7641,x7643),f419(x7642,x7643)) % 197.39/197.44 [765]~E(x7651,x7652)+E(f419(x7653,x7651),f419(x7653,x7652)) % 197.39/197.44 [766]~E(x7661,x7662)+E(f461(x7661,x7663,x7664,x7665),f461(x7662,x7663,x7664,x7665)) % 197.39/197.44 [767]~E(x7671,x7672)+E(f461(x7673,x7671,x7674,x7675),f461(x7673,x7672,x7674,x7675)) % 197.39/197.44 [768]~E(x7681,x7682)+E(f461(x7683,x7684,x7681,x7685),f461(x7683,x7684,x7682,x7685)) % 197.39/197.44 [769]~E(x7691,x7692)+E(f461(x7693,x7694,x7695,x7691),f461(x7693,x7694,x7695,x7692)) % 197.39/197.44 [770]~E(x7701,x7702)+E(f762(x7701,x7703,x7704),f762(x7702,x7703,x7704)) % 197.39/197.44 [771]~E(x7711,x7712)+E(f762(x7713,x7711,x7714),f762(x7713,x7712,x7714)) % 197.39/197.44 [772]~E(x7721,x7722)+E(f762(x7723,x7724,x7721),f762(x7723,x7724,x7722)) % 197.39/197.44 [773]~E(x7731,x7732)+E(f374(x7731,x7733,x7734,x7735,x7736),f374(x7732,x7733,x7734,x7735,x7736)) % 197.39/197.44 [774]~E(x7741,x7742)+E(f374(x7743,x7741,x7744,x7745,x7746),f374(x7743,x7742,x7744,x7745,x7746)) % 197.39/197.44 [775]~E(x7751,x7752)+E(f374(x7753,x7754,x7751,x7755,x7756),f374(x7753,x7754,x7752,x7755,x7756)) % 197.39/197.44 [776]~E(x7761,x7762)+E(f374(x7763,x7764,x7765,x7761,x7766),f374(x7763,x7764,x7765,x7762,x7766)) % 197.39/197.44 [777]~E(x7771,x7772)+E(f374(x7773,x7774,x7775,x7776,x7771),f374(x7773,x7774,x7775,x7776,x7772)) % 197.39/197.44 [778]~E(x7781,x7782)+E(f719(x7781,x7783,x7784,x7785,x7786),f719(x7782,x7783,x7784,x7785,x7786)) % 197.39/197.44 [779]~E(x7791,x7792)+E(f719(x7793,x7791,x7794,x7795,x7796),f719(x7793,x7792,x7794,x7795,x7796)) % 197.39/197.44 [780]~E(x7801,x7802)+E(f719(x7803,x7804,x7801,x7805,x7806),f719(x7803,x7804,x7802,x7805,x7806)) % 197.39/197.44 [781]~E(x7811,x7812)+E(f719(x7813,x7814,x7815,x7811,x7816),f719(x7813,x7814,x7815,x7812,x7816)) % 197.39/197.44 [782]~E(x7821,x7822)+E(f719(x7823,x7824,x7825,x7826,x7821),f719(x7823,x7824,x7825,x7826,x7822)) % 197.39/197.44 [783]~E(x7831,x7832)+E(f859(x7831,x7833,x7834),f859(x7832,x7833,x7834)) % 197.39/197.44 [784]~E(x7841,x7842)+E(f859(x7843,x7841,x7844),f859(x7843,x7842,x7844)) % 197.39/197.44 [785]~E(x7851,x7852)+E(f859(x7853,x7854,x7851),f859(x7853,x7854,x7852)) % 197.39/197.44 [786]~E(x7861,x7862)+E(f562(x7861,x7863),f562(x7862,x7863)) % 197.39/197.44 [787]~E(x7871,x7872)+E(f562(x7873,x7871),f562(x7873,x7872)) % 197.39/197.44 [788]~E(x7881,x7882)+E(f579(x7881,x7883),f579(x7882,x7883)) % 197.39/197.44 [789]~E(x7891,x7892)+E(f579(x7893,x7891),f579(x7893,x7892)) % 197.39/197.44 [790]~E(x7901,x7902)+E(f645(x7901,x7903),f645(x7902,x7903)) % 197.39/197.44 [791]~E(x7911,x7912)+E(f645(x7913,x7911),f645(x7913,x7912)) % 197.39/197.44 [792]~E(x7921,x7922)+E(f408(x7921,x7923),f408(x7922,x7923)) % 197.39/197.44 [793]~E(x7931,x7932)+E(f408(x7933,x7931),f408(x7933,x7932)) % 197.39/197.44 [794]~E(x7941,x7942)+E(f44(x7941),f44(x7942)) % 197.39/197.44 [795]~E(x7951,x7952)+E(f812(x7951,x7953,x7954,x7955,x7956),f812(x7952,x7953,x7954,x7955,x7956)) % 197.39/197.44 [796]~E(x7961,x7962)+E(f812(x7963,x7961,x7964,x7965,x7966),f812(x7963,x7962,x7964,x7965,x7966)) % 197.39/197.44 [797]~E(x7971,x7972)+E(f812(x7973,x7974,x7971,x7975,x7976),f812(x7973,x7974,x7972,x7975,x7976)) % 197.39/197.44 [798]~E(x7981,x7982)+E(f812(x7983,x7984,x7985,x7981,x7986),f812(x7983,x7984,x7985,x7982,x7986)) % 197.39/197.44 [799]~E(x7991,x7992)+E(f812(x7993,x7994,x7995,x7996,x7991),f812(x7993,x7994,x7995,x7996,x7992)) % 197.39/197.44 [800]~E(x8001,x8002)+E(f774(x8001,x8003),f774(x8002,x8003)) % 197.39/197.44 [801]~E(x8011,x8012)+E(f774(x8013,x8011),f774(x8013,x8012)) % 197.39/197.44 [802]~E(x8021,x8022)+E(f48(x8021,x8023),f48(x8022,x8023)) % 197.39/197.44 [803]~E(x8031,x8032)+E(f48(x8033,x8031),f48(x8033,x8032)) % 197.39/197.44 [804]~E(x8041,x8042)+E(f311(x8041),f311(x8042)) % 197.39/197.44 [805]~E(x8051,x8052)+E(f606(x8051,x8053,x8054),f606(x8052,x8053,x8054)) % 197.39/197.44 [806]~E(x8061,x8062)+E(f606(x8063,x8061,x8064),f606(x8063,x8062,x8064)) % 197.39/197.44 [807]~E(x8071,x8072)+E(f606(x8073,x8074,x8071),f606(x8073,x8074,x8072)) % 197.39/197.44 [808]~E(x8081,x8082)+E(f428(x8081,x8083,x8084,x8085,x8086,x8087),f428(x8082,x8083,x8084,x8085,x8086,x8087)) % 197.39/197.44 [809]~E(x8091,x8092)+E(f428(x8093,x8091,x8094,x8095,x8096,x8097),f428(x8093,x8092,x8094,x8095,x8096,x8097)) % 197.39/197.44 [810]~E(x8101,x8102)+E(f428(x8103,x8104,x8101,x8105,x8106,x8107),f428(x8103,x8104,x8102,x8105,x8106,x8107)) % 197.39/197.44 [811]~E(x8111,x8112)+E(f428(x8113,x8114,x8115,x8111,x8116,x8117),f428(x8113,x8114,x8115,x8112,x8116,x8117)) % 197.39/197.44 [812]~E(x8121,x8122)+E(f428(x8123,x8124,x8125,x8126,x8121,x8127),f428(x8123,x8124,x8125,x8126,x8122,x8127)) % 197.39/197.44 [813]~E(x8131,x8132)+E(f428(x8133,x8134,x8135,x8136,x8137,x8131),f428(x8133,x8134,x8135,x8136,x8137,x8132)) % 197.39/197.44 [814]~E(x8141,x8142)+E(f695(x8141,x8143,x8144,x8145),f695(x8142,x8143,x8144,x8145)) % 197.39/197.44 [815]~E(x8151,x8152)+E(f695(x8153,x8151,x8154,x8155),f695(x8153,x8152,x8154,x8155)) % 197.39/197.44 [816]~E(x8161,x8162)+E(f695(x8163,x8164,x8161,x8165),f695(x8163,x8164,x8162,x8165)) % 197.39/197.44 [817]~E(x8171,x8172)+E(f695(x8173,x8174,x8175,x8171),f695(x8173,x8174,x8175,x8172)) % 197.39/197.44 [818]~E(x8181,x8182)+E(f161(x8181,x8183,x8184,x8185),f161(x8182,x8183,x8184,x8185)) % 197.39/197.44 [819]~E(x8191,x8192)+E(f161(x8193,x8191,x8194,x8195),f161(x8193,x8192,x8194,x8195)) % 197.39/197.44 [820]~E(x8201,x8202)+E(f161(x8203,x8204,x8201,x8205),f161(x8203,x8204,x8202,x8205)) % 197.39/197.44 [821]~E(x8211,x8212)+E(f161(x8213,x8214,x8215,x8211),f161(x8213,x8214,x8215,x8212)) % 197.39/197.44 [822]~E(x8221,x8222)+E(f563(x8221,x8223,x8224,x8225),f563(x8222,x8223,x8224,x8225)) % 197.39/197.44 [823]~E(x8231,x8232)+E(f563(x8233,x8231,x8234,x8235),f563(x8233,x8232,x8234,x8235)) % 197.39/197.44 [824]~E(x8241,x8242)+E(f563(x8243,x8244,x8241,x8245),f563(x8243,x8244,x8242,x8245)) % 197.39/197.44 [825]~E(x8251,x8252)+E(f563(x8253,x8254,x8255,x8251),f563(x8253,x8254,x8255,x8252)) % 197.39/197.44 [826]~E(x8261,x8262)+E(f239(x8261),f239(x8262)) % 197.39/197.44 [827]~E(x8271,x8272)+E(f530(x8271,x8273,x8274),f530(x8272,x8273,x8274)) % 197.39/197.44 [828]~E(x8281,x8282)+E(f530(x8283,x8281,x8284),f530(x8283,x8282,x8284)) % 197.39/197.44 [829]~E(x8291,x8292)+E(f530(x8293,x8294,x8291),f530(x8293,x8294,x8292)) % 197.39/197.44 [830]~E(x8301,x8302)+E(f619(x8301,x8303,x8304,x8305,x8306),f619(x8302,x8303,x8304,x8305,x8306)) % 197.39/197.44 [831]~E(x8311,x8312)+E(f619(x8313,x8311,x8314,x8315,x8316),f619(x8313,x8312,x8314,x8315,x8316)) % 197.39/197.44 [832]~E(x8321,x8322)+E(f619(x8323,x8324,x8321,x8325,x8326),f619(x8323,x8324,x8322,x8325,x8326)) % 197.39/197.44 [833]~E(x8331,x8332)+E(f619(x8333,x8334,x8335,x8331,x8336),f619(x8333,x8334,x8335,x8332,x8336)) % 197.39/197.44 [834]~E(x8341,x8342)+E(f619(x8343,x8344,x8345,x8346,x8341),f619(x8343,x8344,x8345,x8346,x8342)) % 197.39/197.44 [835]~E(x8351,x8352)+E(f420(x8351,x8353,x8354),f420(x8352,x8353,x8354)) % 197.39/197.44 [836]~E(x8361,x8362)+E(f420(x8363,x8361,x8364),f420(x8363,x8362,x8364)) % 197.39/197.44 [837]~E(x8371,x8372)+E(f420(x8373,x8374,x8371),f420(x8373,x8374,x8372)) % 197.39/197.44 [838]~E(x8381,x8382)+E(f264(x8381,x8383,x8384,x8385),f264(x8382,x8383,x8384,x8385)) % 197.39/197.44 [839]~E(x8391,x8392)+E(f264(x8393,x8391,x8394,x8395),f264(x8393,x8392,x8394,x8395)) % 197.39/197.44 [840]~E(x8401,x8402)+E(f264(x8403,x8404,x8401,x8405),f264(x8403,x8404,x8402,x8405)) % 197.39/197.44 [841]~E(x8411,x8412)+E(f264(x8413,x8414,x8415,x8411),f264(x8413,x8414,x8415,x8412)) % 197.39/197.44 [842]~E(x8421,x8422)+E(f195(x8421,x8423,x8424,x8425),f195(x8422,x8423,x8424,x8425)) % 197.39/197.44 [843]~E(x8431,x8432)+E(f195(x8433,x8431,x8434,x8435),f195(x8433,x8432,x8434,x8435)) % 197.39/197.44 [844]~E(x8441,x8442)+E(f195(x8443,x8444,x8441,x8445),f195(x8443,x8444,x8442,x8445)) % 197.39/197.44 [845]~E(x8451,x8452)+E(f195(x8453,x8454,x8455,x8451),f195(x8453,x8454,x8455,x8452)) % 197.39/197.44 [846]~E(x8461,x8462)+E(f487(x8461,x8463,x8464,x8465,x8466),f487(x8462,x8463,x8464,x8465,x8466)) % 197.39/197.44 [847]~E(x8471,x8472)+E(f487(x8473,x8471,x8474,x8475,x8476),f487(x8473,x8472,x8474,x8475,x8476)) % 197.39/197.44 [848]~E(x8481,x8482)+E(f487(x8483,x8484,x8481,x8485,x8486),f487(x8483,x8484,x8482,x8485,x8486)) % 197.39/197.44 [849]~E(x8491,x8492)+E(f487(x8493,x8494,x8495,x8491,x8496),f487(x8493,x8494,x8495,x8492,x8496)) % 197.39/197.44 [850]~E(x8501,x8502)+E(f487(x8503,x8504,x8505,x8506,x8501),f487(x8503,x8504,x8505,x8506,x8502)) % 197.39/197.44 [851]~E(x8511,x8512)+E(f671(x8511,x8513,x8514,x8515,x8516,x8517),f671(x8512,x8513,x8514,x8515,x8516,x8517)) % 197.39/197.44 [852]~E(x8521,x8522)+E(f671(x8523,x8521,x8524,x8525,x8526,x8527),f671(x8523,x8522,x8524,x8525,x8526,x8527)) % 197.39/197.44 [853]~E(x8531,x8532)+E(f671(x8533,x8534,x8531,x8535,x8536,x8537),f671(x8533,x8534,x8532,x8535,x8536,x8537)) % 197.39/197.44 [854]~E(x8541,x8542)+E(f671(x8543,x8544,x8545,x8541,x8546,x8547),f671(x8543,x8544,x8545,x8542,x8546,x8547)) % 197.39/197.44 [855]~E(x8551,x8552)+E(f671(x8553,x8554,x8555,x8556,x8551,x8557),f671(x8553,x8554,x8555,x8556,x8552,x8557)) % 197.39/197.44 [856]~E(x8561,x8562)+E(f671(x8563,x8564,x8565,x8566,x8567,x8561),f671(x8563,x8564,x8565,x8566,x8567,x8562)) % 197.39/197.44 [857]~E(x8571,x8572)+E(f197(x8571,x8573),f197(x8572,x8573)) % 197.39/197.44 [858]~E(x8581,x8582)+E(f197(x8583,x8581),f197(x8583,x8582)) % 197.39/197.44 [859]~E(x8591,x8592)+E(f760(x8591,x8593,x8594),f760(x8592,x8593,x8594)) % 197.39/197.44 [860]~E(x8601,x8602)+E(f760(x8603,x8601,x8604),f760(x8603,x8602,x8604)) % 197.39/197.44 [861]~E(x8611,x8612)+E(f760(x8613,x8614,x8611),f760(x8613,x8614,x8612)) % 197.39/197.44 [862]~E(x8621,x8622)+E(f134(x8621,x8623),f134(x8622,x8623)) % 197.39/197.44 [863]~E(x8631,x8632)+E(f134(x8633,x8631),f134(x8633,x8632)) % 197.39/197.44 [864]~E(x8641,x8642)+E(f183(x8641),f183(x8642)) % 197.39/197.44 [865]~E(x8651,x8652)+E(f775(x8651,x8653),f775(x8652,x8653)) % 197.39/197.44 [866]~E(x8661,x8662)+E(f775(x8663,x8661),f775(x8663,x8662)) % 197.39/197.44 [867]~E(x8671,x8672)+E(f441(x8671,x8673,x8674,x8675),f441(x8672,x8673,x8674,x8675)) % 197.39/197.44 [868]~E(x8681,x8682)+E(f441(x8683,x8681,x8684,x8685),f441(x8683,x8682,x8684,x8685)) % 197.39/197.44 [869]~E(x8691,x8692)+E(f441(x8693,x8694,x8691,x8695),f441(x8693,x8694,x8692,x8695)) % 197.39/197.44 [870]~E(x8701,x8702)+E(f441(x8703,x8704,x8705,x8701),f441(x8703,x8704,x8705,x8702)) % 197.39/197.44 [871]~E(x8711,x8712)+E(f588(x8711,x8713,x8714,x8715,x8716),f588(x8712,x8713,x8714,x8715,x8716)) % 197.39/197.44 [872]~E(x8721,x8722)+E(f588(x8723,x8721,x8724,x8725,x8726),f588(x8723,x8722,x8724,x8725,x8726)) % 197.39/197.44 [873]~E(x8731,x8732)+E(f588(x8733,x8734,x8731,x8735,x8736),f588(x8733,x8734,x8732,x8735,x8736)) % 197.39/197.44 [874]~E(x8741,x8742)+E(f588(x8743,x8744,x8745,x8741,x8746),f588(x8743,x8744,x8745,x8742,x8746)) % 197.39/197.44 [875]~E(x8751,x8752)+E(f588(x8753,x8754,x8755,x8756,x8751),f588(x8753,x8754,x8755,x8756,x8752)) % 197.39/197.44 [876]~E(x8761,x8762)+E(f810(x8761,x8763,x8764,x8765,x8766),f810(x8762,x8763,x8764,x8765,x8766)) % 197.39/197.44 [877]~E(x8771,x8772)+E(f810(x8773,x8771,x8774,x8775,x8776),f810(x8773,x8772,x8774,x8775,x8776)) % 197.39/197.44 [878]~E(x8781,x8782)+E(f810(x8783,x8784,x8781,x8785,x8786),f810(x8783,x8784,x8782,x8785,x8786)) % 197.39/197.44 [879]~E(x8791,x8792)+E(f810(x8793,x8794,x8795,x8791,x8796),f810(x8793,x8794,x8795,x8792,x8796)) % 197.39/197.44 [880]~E(x8801,x8802)+E(f810(x8803,x8804,x8805,x8806,x8801),f810(x8803,x8804,x8805,x8806,x8802)) % 197.39/197.44 [881]~E(x8811,x8812)+E(f543(x8811,x8813),f543(x8812,x8813)) % 197.39/197.44 [882]~E(x8821,x8822)+E(f543(x8823,x8821),f543(x8823,x8822)) % 197.39/197.44 [883]~E(x8831,x8832)+E(f448(x8831,x8833,x8834,x8835,x8836,x8837),f448(x8832,x8833,x8834,x8835,x8836,x8837)) % 197.39/197.44 [884]~E(x8841,x8842)+E(f448(x8843,x8841,x8844,x8845,x8846,x8847),f448(x8843,x8842,x8844,x8845,x8846,x8847)) % 197.39/197.44 [885]~E(x8851,x8852)+E(f448(x8853,x8854,x8851,x8855,x8856,x8857),f448(x8853,x8854,x8852,x8855,x8856,x8857)) % 197.39/197.44 [886]~E(x8861,x8862)+E(f448(x8863,x8864,x8865,x8861,x8866,x8867),f448(x8863,x8864,x8865,x8862,x8866,x8867)) % 197.39/197.44 [887]~E(x8871,x8872)+E(f448(x8873,x8874,x8875,x8876,x8871,x8877),f448(x8873,x8874,x8875,x8876,x8872,x8877)) % 197.39/197.44 [888]~E(x8881,x8882)+E(f448(x8883,x8884,x8885,x8886,x8887,x8881),f448(x8883,x8884,x8885,x8886,x8887,x8882)) % 197.39/197.44 [889]~E(x8891,x8892)+E(f558(x8891,x8893,x8894,x8895),f558(x8892,x8893,x8894,x8895)) % 197.39/197.44 [890]~E(x8901,x8902)+E(f558(x8903,x8901,x8904,x8905),f558(x8903,x8902,x8904,x8905)) % 197.39/197.44 [891]~E(x8911,x8912)+E(f558(x8913,x8914,x8911,x8915),f558(x8913,x8914,x8912,x8915)) % 197.39/197.44 [892]~E(x8921,x8922)+E(f558(x8923,x8924,x8925,x8921),f558(x8923,x8924,x8925,x8922)) % 197.39/197.44 [893]~E(x8931,x8932)+E(f650(x8931,x8933,x8934,x8935),f650(x8932,x8933,x8934,x8935)) % 197.39/197.44 [894]~E(x8941,x8942)+E(f650(x8943,x8941,x8944,x8945),f650(x8943,x8942,x8944,x8945)) % 197.39/197.44 [895]~E(x8951,x8952)+E(f650(x8953,x8954,x8951,x8955),f650(x8953,x8954,x8952,x8955)) % 197.39/197.44 [896]~E(x8961,x8962)+E(f650(x8963,x8964,x8965,x8961),f650(x8963,x8964,x8965,x8962)) % 197.39/197.44 [897]~E(x8971,x8972)+E(f694(x8971,x8973,x8974,x8975,x8976),f694(x8972,x8973,x8974,x8975,x8976)) % 197.39/197.44 [898]~E(x8981,x8982)+E(f694(x8983,x8981,x8984,x8985,x8986),f694(x8983,x8982,x8984,x8985,x8986)) % 197.39/197.44 [899]~E(x8991,x8992)+E(f694(x8993,x8994,x8991,x8995,x8996),f694(x8993,x8994,x8992,x8995,x8996)) % 197.39/197.44 [900]~E(x9001,x9002)+E(f694(x9003,x9004,x9005,x9001,x9006),f694(x9003,x9004,x9005,x9002,x9006)) % 197.39/197.44 [901]~E(x9011,x9012)+E(f694(x9013,x9014,x9015,x9016,x9011),f694(x9013,x9014,x9015,x9016,x9012)) % 197.39/197.44 [902]~E(x9021,x9022)+E(f837(x9021,x9023),f837(x9022,x9023)) % 197.39/197.44 [903]~E(x9031,x9032)+E(f837(x9033,x9031),f837(x9033,x9032)) % 197.39/197.44 [904]~E(x9041,x9042)+E(f357(x9041,x9043,x9044),f357(x9042,x9043,x9044)) % 197.39/197.44 [905]~E(x9051,x9052)+E(f357(x9053,x9051,x9054),f357(x9053,x9052,x9054)) % 197.39/197.44 [906]~E(x9061,x9062)+E(f357(x9063,x9064,x9061),f357(x9063,x9064,x9062)) % 197.39/197.44 [907]~E(x9071,x9072)+E(f150(x9071,x9073),f150(x9072,x9073)) % 197.39/197.44 [908]~E(x9081,x9082)+E(f150(x9083,x9081),f150(x9083,x9082)) % 197.39/197.44 [909]~E(x9091,x9092)+E(f723(x9091,x9093,x9094,x9095,x9096,x9097,x9098),f723(x9092,x9093,x9094,x9095,x9096,x9097,x9098)) % 197.39/197.44 [910]~E(x9101,x9102)+E(f723(x9103,x9101,x9104,x9105,x9106,x9107,x9108),f723(x9103,x9102,x9104,x9105,x9106,x9107,x9108)) % 197.39/197.44 [911]~E(x9111,x9112)+E(f723(x9113,x9114,x9111,x9115,x9116,x9117,x9118),f723(x9113,x9114,x9112,x9115,x9116,x9117,x9118)) % 197.39/197.44 [912]~E(x9121,x9122)+E(f723(x9123,x9124,x9125,x9121,x9126,x9127,x9128),f723(x9123,x9124,x9125,x9122,x9126,x9127,x9128)) % 197.39/197.44 [913]~E(x9131,x9132)+E(f723(x9133,x9134,x9135,x9136,x9131,x9137,x9138),f723(x9133,x9134,x9135,x9136,x9132,x9137,x9138)) % 197.39/197.44 [914]~E(x9141,x9142)+E(f723(x9143,x9144,x9145,x9146,x9147,x9141,x9148),f723(x9143,x9144,x9145,x9146,x9147,x9142,x9148)) % 197.39/197.44 [915]~E(x9151,x9152)+E(f723(x9153,x9154,x9155,x9156,x9157,x9158,x9151),f723(x9153,x9154,x9155,x9156,x9157,x9158,x9152)) % 197.39/197.44 [916]~E(x9161,x9162)+E(f255(x9161,x9163),f255(x9162,x9163)) % 197.39/197.44 [917]~E(x9171,x9172)+E(f255(x9173,x9171),f255(x9173,x9172)) % 197.39/197.44 [918]~E(x9181,x9182)+E(f433(x9181,x9183),f433(x9182,x9183)) % 197.39/197.44 [919]~E(x9191,x9192)+E(f433(x9193,x9191),f433(x9193,x9192)) % 197.39/197.44 [920]~E(x9201,x9202)+E(f271(x9201,x9203),f271(x9202,x9203)) % 197.39/197.44 [921]~E(x9211,x9212)+E(f271(x9213,x9211),f271(x9213,x9212)) % 197.39/197.44 [922]~E(x9221,x9222)+E(f458(x9221,x9223),f458(x9222,x9223)) % 197.39/197.44 [923]~E(x9231,x9232)+E(f458(x9233,x9231),f458(x9233,x9232)) % 197.39/197.44 [924]~E(x9241,x9242)+E(f40(x9241,x9243),f40(x9242,x9243)) % 197.39/197.44 [925]~E(x9251,x9252)+E(f40(x9253,x9251),f40(x9253,x9252)) % 197.39/197.44 [926]~E(x9261,x9262)+E(f351(x9261,x9263,x9264),f351(x9262,x9263,x9264)) % 197.39/197.44 [927]~E(x9271,x9272)+E(f351(x9273,x9271,x9274),f351(x9273,x9272,x9274)) % 197.39/197.44 [928]~E(x9281,x9282)+E(f351(x9283,x9284,x9281),f351(x9283,x9284,x9282)) % 197.39/197.44 [929]~E(x9291,x9292)+E(f308(x9291),f308(x9292)) % 197.39/197.44 [930]~E(x9301,x9302)+E(f630(x9301,x9303,x9304,x9305,x9306),f630(x9302,x9303,x9304,x9305,x9306)) % 197.39/197.44 [931]~E(x9311,x9312)+E(f630(x9313,x9311,x9314,x9315,x9316),f630(x9313,x9312,x9314,x9315,x9316)) % 197.39/197.44 [932]~E(x9321,x9322)+E(f630(x9323,x9324,x9321,x9325,x9326),f630(x9323,x9324,x9322,x9325,x9326)) % 197.39/197.44 [933]~E(x9331,x9332)+E(f630(x9333,x9334,x9335,x9331,x9336),f630(x9333,x9334,x9335,x9332,x9336)) % 197.39/197.44 [934]~E(x9341,x9342)+E(f630(x9343,x9344,x9345,x9346,x9341),f630(x9343,x9344,x9345,x9346,x9342)) % 197.39/197.44 [935]~E(x9351,x9352)+E(f260(x9351,x9353,x9354,x9355),f260(x9352,x9353,x9354,x9355)) % 197.39/197.44 [936]~E(x9361,x9362)+E(f260(x9363,x9361,x9364,x9365),f260(x9363,x9362,x9364,x9365)) % 197.39/197.44 [937]~E(x9371,x9372)+E(f260(x9373,x9374,x9371,x9375),f260(x9373,x9374,x9372,x9375)) % 197.39/197.44 [938]~E(x9381,x9382)+E(f260(x9383,x9384,x9385,x9381),f260(x9383,x9384,x9385,x9382)) % 197.39/197.44 [939]~E(x9391,x9392)+E(f353(x9391,x9393,x9394),f353(x9392,x9393,x9394)) % 197.39/197.44 [940]~E(x9401,x9402)+E(f353(x9403,x9401,x9404),f353(x9403,x9402,x9404)) % 197.39/197.44 [941]~E(x9411,x9412)+E(f353(x9413,x9414,x9411),f353(x9413,x9414,x9412)) % 197.39/197.44 [942]~E(x9421,x9422)+E(f223(x9421,x9423),f223(x9422,x9423)) % 197.39/197.44 [943]~E(x9431,x9432)+E(f223(x9433,x9431),f223(x9433,x9432)) % 197.39/197.44 [944]~E(x9441,x9442)+E(f559(x9441,x9443,x9444,x9445),f559(x9442,x9443,x9444,x9445)) % 197.39/197.44 [945]~E(x9451,x9452)+E(f559(x9453,x9451,x9454,x9455),f559(x9453,x9452,x9454,x9455)) % 197.39/197.44 [946]~E(x9461,x9462)+E(f559(x9463,x9464,x9461,x9465),f559(x9463,x9464,x9462,x9465)) % 197.39/197.44 [947]~E(x9471,x9472)+E(f559(x9473,x9474,x9475,x9471),f559(x9473,x9474,x9475,x9472)) % 197.39/197.44 [948]~E(x9481,x9482)+E(f819(x9481,x9483,x9484),f819(x9482,x9483,x9484)) % 197.39/197.44 [949]~E(x9491,x9492)+E(f819(x9493,x9491,x9494),f819(x9493,x9492,x9494)) % 197.39/197.44 [950]~E(x9501,x9502)+E(f819(x9503,x9504,x9501),f819(x9503,x9504,x9502)) % 197.39/197.44 [951]~E(x9511,x9512)+E(f307(x9511,x9513,x9514,x9515,x9516),f307(x9512,x9513,x9514,x9515,x9516)) % 197.39/197.44 [952]~E(x9521,x9522)+E(f307(x9523,x9521,x9524,x9525,x9526),f307(x9523,x9522,x9524,x9525,x9526)) % 197.39/197.44 [953]~E(x9531,x9532)+E(f307(x9533,x9534,x9531,x9535,x9536),f307(x9533,x9534,x9532,x9535,x9536)) % 197.39/197.44 [954]~E(x9541,x9542)+E(f307(x9543,x9544,x9545,x9541,x9546),f307(x9543,x9544,x9545,x9542,x9546)) % 197.39/197.44 [955]~E(x9551,x9552)+E(f307(x9553,x9554,x9555,x9556,x9551),f307(x9553,x9554,x9555,x9556,x9552)) % 197.39/197.44 [956]~E(x9561,x9562)+E(f279(x9561,x9563),f279(x9562,x9563)) % 197.39/197.44 [957]~E(x9571,x9572)+E(f279(x9573,x9571),f279(x9573,x9572)) % 197.39/197.44 [958]~E(x9581,x9582)+E(f804(x9581,x9583,x9584),f804(x9582,x9583,x9584)) % 197.39/197.44 [959]~E(x9591,x9592)+E(f804(x9593,x9591,x9594),f804(x9593,x9592,x9594)) % 197.39/197.44 [960]~E(x9601,x9602)+E(f804(x9603,x9604,x9601),f804(x9603,x9604,x9602)) % 197.39/197.44 [961]~E(x9611,x9612)+E(f603(x9611,x9613,x9614,x9615),f603(x9612,x9613,x9614,x9615)) % 197.39/197.44 [962]~E(x9621,x9622)+E(f603(x9623,x9621,x9624,x9625),f603(x9623,x9622,x9624,x9625)) % 197.39/197.44 [963]~E(x9631,x9632)+E(f603(x9633,x9634,x9631,x9635),f603(x9633,x9634,x9632,x9635)) % 197.39/197.44 [964]~E(x9641,x9642)+E(f603(x9643,x9644,x9645,x9641),f603(x9643,x9644,x9645,x9642)) % 197.39/197.44 [965]~E(x9651,x9652)+E(f160(x9651,x9653,x9654),f160(x9652,x9653,x9654)) % 197.39/197.44 [966]~E(x9661,x9662)+E(f160(x9663,x9661,x9664),f160(x9663,x9662,x9664)) % 197.39/197.44 [967]~E(x9671,x9672)+E(f160(x9673,x9674,x9671),f160(x9673,x9674,x9672)) % 197.39/197.44 [968]~E(x9681,x9682)+E(f348(x9681,x9683,x9684),f348(x9682,x9683,x9684)) % 197.39/197.44 [969]~E(x9691,x9692)+E(f348(x9693,x9691,x9694),f348(x9693,x9692,x9694)) % 197.39/197.44 [970]~E(x9701,x9702)+E(f348(x9703,x9704,x9701),f348(x9703,x9704,x9702)) % 197.39/197.44 [971]~E(x9711,x9712)+E(f768(x9711,x9713,x9714,x9715),f768(x9712,x9713,x9714,x9715)) % 197.39/197.44 [972]~E(x9721,x9722)+E(f768(x9723,x9721,x9724,x9725),f768(x9723,x9722,x9724,x9725)) % 197.39/197.44 [973]~E(x9731,x9732)+E(f768(x9733,x9734,x9731,x9735),f768(x9733,x9734,x9732,x9735)) % 197.39/197.44 [974]~E(x9741,x9742)+E(f768(x9743,x9744,x9745,x9741),f768(x9743,x9744,x9745,x9742)) % 197.39/197.44 [975]~E(x9751,x9752)+E(f731(x9751,x9753,x9754),f731(x9752,x9753,x9754)) % 197.39/197.44 [976]~E(x9761,x9762)+E(f731(x9763,x9761,x9764),f731(x9763,x9762,x9764)) % 197.39/197.44 [977]~E(x9771,x9772)+E(f731(x9773,x9774,x9771),f731(x9773,x9774,x9772)) % 197.39/197.44 [978]~E(x9781,x9782)+E(f19(x9781,x9783,x9784,x9785),f19(x9782,x9783,x9784,x9785)) % 197.39/197.44 [979]~E(x9791,x9792)+E(f19(x9793,x9791,x9794,x9795),f19(x9793,x9792,x9794,x9795)) % 197.39/197.44 [980]~E(x9801,x9802)+E(f19(x9803,x9804,x9801,x9805),f19(x9803,x9804,x9802,x9805)) % 197.39/197.44 [981]~E(x9811,x9812)+E(f19(x9813,x9814,x9815,x9811),f19(x9813,x9814,x9815,x9812)) % 197.39/197.44 [982]~E(x9821,x9822)+E(f499(x9821,x9823,x9824,x9825,x9826,x9827),f499(x9822,x9823,x9824,x9825,x9826,x9827)) % 197.39/197.44 [983]~E(x9831,x9832)+E(f499(x9833,x9831,x9834,x9835,x9836,x9837),f499(x9833,x9832,x9834,x9835,x9836,x9837)) % 197.39/197.44 [984]~E(x9841,x9842)+E(f499(x9843,x9844,x9841,x9845,x9846,x9847),f499(x9843,x9844,x9842,x9845,x9846,x9847)) % 197.39/197.44 [985]~E(x9851,x9852)+E(f499(x9853,x9854,x9855,x9851,x9856,x9857),f499(x9853,x9854,x9855,x9852,x9856,x9857)) % 197.39/197.44 [986]~E(x9861,x9862)+E(f499(x9863,x9864,x9865,x9866,x9861,x9867),f499(x9863,x9864,x9865,x9866,x9862,x9867)) % 197.39/197.44 [987]~E(x9871,x9872)+E(f499(x9873,x9874,x9875,x9876,x9877,x9871),f499(x9873,x9874,x9875,x9876,x9877,x9872)) % 197.39/197.44 [988]~E(x9881,x9882)+E(f609(x9881,x9883,x9884),f609(x9882,x9883,x9884)) % 197.39/197.44 [989]~E(x9891,x9892)+E(f609(x9893,x9891,x9894),f609(x9893,x9892,x9894)) % 197.39/197.44 [990]~E(x9901,x9902)+E(f609(x9903,x9904,x9901),f609(x9903,x9904,x9902)) % 197.39/197.44 [991]~E(x9911,x9912)+E(f739(x9911,x9913,x9914,x9915),f739(x9912,x9913,x9914,x9915)) % 197.39/197.44 [992]~E(x9921,x9922)+E(f739(x9923,x9921,x9924,x9925),f739(x9923,x9922,x9924,x9925)) % 197.39/197.44 [993]~E(x9931,x9932)+E(f739(x9933,x9934,x9931,x9935),f739(x9933,x9934,x9932,x9935)) % 197.39/197.44 [994]~E(x9941,x9942)+E(f739(x9943,x9944,x9945,x9941),f739(x9943,x9944,x9945,x9942)) % 197.39/197.44 [995]~E(x9951,x9952)+E(f666(x9951,x9953),f666(x9952,x9953)) % 197.39/197.44 [996]~E(x9961,x9962)+E(f666(x9963,x9961),f666(x9963,x9962)) % 197.39/197.44 [997]~E(x9971,x9972)+E(f854(x9971,x9973,x9974),f854(x9972,x9973,x9974)) % 197.39/197.44 [998]~E(x9981,x9982)+E(f854(x9983,x9981,x9984),f854(x9983,x9982,x9984)) % 197.39/197.44 [999]~E(x9991,x9992)+E(f854(x9993,x9994,x9991),f854(x9993,x9994,x9992)) % 197.39/197.44 [1000]~E(x10001,x10002)+E(f483(x10001,x10003,x10004),f483(x10002,x10003,x10004)) % 197.39/197.44 [1001]~E(x10011,x10012)+E(f483(x10013,x10011,x10014),f483(x10013,x10012,x10014)) % 197.39/197.44 [1002]~E(x10021,x10022)+E(f483(x10023,x10024,x10021),f483(x10023,x10024,x10022)) % 197.39/197.44 [1003]~E(x10031,x10032)+E(f800(x10031,x10033,x10034),f800(x10032,x10033,x10034)) % 197.39/197.44 [1004]~E(x10041,x10042)+E(f800(x10043,x10041,x10044),f800(x10043,x10042,x10044)) % 197.39/197.44 [1005]~E(x10051,x10052)+E(f800(x10053,x10054,x10051),f800(x10053,x10054,x10052)) % 197.39/197.44 [1006]~E(x10061,x10062)+E(f517(x10061,x10063,x10064),f517(x10062,x10063,x10064)) % 197.39/197.44 [1007]~E(x10071,x10072)+E(f517(x10073,x10071,x10074),f517(x10073,x10072,x10074)) % 197.39/197.44 [1008]~E(x10081,x10082)+E(f517(x10083,x10084,x10081),f517(x10083,x10084,x10082)) % 197.39/197.44 [1009]~E(x10091,x10092)+E(f709(x10091,x10093,x10094,x10095),f709(x10092,x10093,x10094,x10095)) % 197.39/197.44 [1010]~E(x10101,x10102)+E(f709(x10103,x10101,x10104,x10105),f709(x10103,x10102,x10104,x10105)) % 197.39/197.44 [1011]~E(x10111,x10112)+E(f709(x10113,x10114,x10111,x10115),f709(x10113,x10114,x10112,x10115)) % 197.39/197.44 [1012]~E(x10121,x10122)+E(f709(x10123,x10124,x10125,x10121),f709(x10123,x10124,x10125,x10122)) % 197.39/197.44 [1013]~E(x10131,x10132)+E(f724(x10131,x10133,x10134,x10135,x10136,x10137,x10138),f724(x10132,x10133,x10134,x10135,x10136,x10137,x10138)) % 197.39/197.44 [1014]~E(x10141,x10142)+E(f724(x10143,x10141,x10144,x10145,x10146,x10147,x10148),f724(x10143,x10142,x10144,x10145,x10146,x10147,x10148)) % 197.39/197.44 [1015]~E(x10151,x10152)+E(f724(x10153,x10154,x10151,x10155,x10156,x10157,x10158),f724(x10153,x10154,x10152,x10155,x10156,x10157,x10158)) % 197.39/197.44 [1016]~E(x10161,x10162)+E(f724(x10163,x10164,x10165,x10161,x10166,x10167,x10168),f724(x10163,x10164,x10165,x10162,x10166,x10167,x10168)) % 197.39/197.44 [1017]~E(x10171,x10172)+E(f724(x10173,x10174,x10175,x10176,x10171,x10177,x10178),f724(x10173,x10174,x10175,x10176,x10172,x10177,x10178)) % 197.39/197.44 [1018]~E(x10181,x10182)+E(f724(x10183,x10184,x10185,x10186,x10187,x10181,x10188),f724(x10183,x10184,x10185,x10186,x10187,x10182,x10188)) % 197.39/197.44 [1019]~E(x10191,x10192)+E(f724(x10193,x10194,x10195,x10196,x10197,x10198,x10191),f724(x10193,x10194,x10195,x10196,x10197,x10198,x10192)) % 197.39/197.44 [1020]~E(x10201,x10202)+E(f404(x10201,x10203,x10204,x10205,x10206,x10207,x10208),f404(x10202,x10203,x10204,x10205,x10206,x10207,x10208)) % 197.39/197.44 [1021]~E(x10211,x10212)+E(f404(x10213,x10211,x10214,x10215,x10216,x10217,x10218),f404(x10213,x10212,x10214,x10215,x10216,x10217,x10218)) % 197.39/197.44 [1022]~E(x10221,x10222)+E(f404(x10223,x10224,x10221,x10225,x10226,x10227,x10228),f404(x10223,x10224,x10222,x10225,x10226,x10227,x10228)) % 197.39/197.44 [1023]~E(x10231,x10232)+E(f404(x10233,x10234,x10235,x10231,x10236,x10237,x10238),f404(x10233,x10234,x10235,x10232,x10236,x10237,x10238)) % 197.39/197.44 [1024]~E(x10241,x10242)+E(f404(x10243,x10244,x10245,x10246,x10241,x10247,x10248),f404(x10243,x10244,x10245,x10246,x10242,x10247,x10248)) % 197.39/197.44 [1025]~E(x10251,x10252)+E(f404(x10253,x10254,x10255,x10256,x10257,x10251,x10258),f404(x10253,x10254,x10255,x10256,x10257,x10252,x10258)) % 197.39/197.44 [1026]~E(x10261,x10262)+E(f404(x10263,x10264,x10265,x10266,x10267,x10268,x10261),f404(x10263,x10264,x10265,x10266,x10267,x10268,x10262)) % 197.39/197.44 [1027]~E(x10271,x10272)+E(f383(x10271,x10273,x10274),f383(x10272,x10273,x10274)) % 197.39/197.44 [1028]~E(x10281,x10282)+E(f383(x10283,x10281,x10284),f383(x10283,x10282,x10284)) % 197.39/197.44 [1029]~E(x10291,x10292)+E(f383(x10293,x10294,x10291),f383(x10293,x10294,x10292)) % 197.39/197.44 [1030]~E(x10301,x10302)+E(f403(x10301,x10303,x10304,x10305,x10306,x10307,x10308),f403(x10302,x10303,x10304,x10305,x10306,x10307,x10308)) % 197.39/197.44 [1031]~E(x10311,x10312)+E(f403(x10313,x10311,x10314,x10315,x10316,x10317,x10318),f403(x10313,x10312,x10314,x10315,x10316,x10317,x10318)) % 197.39/197.44 [1032]~E(x10321,x10322)+E(f403(x10323,x10324,x10321,x10325,x10326,x10327,x10328),f403(x10323,x10324,x10322,x10325,x10326,x10327,x10328)) % 197.39/197.44 [1033]~E(x10331,x10332)+E(f403(x10333,x10334,x10335,x10331,x10336,x10337,x10338),f403(x10333,x10334,x10335,x10332,x10336,x10337,x10338)) % 197.39/197.44 [1034]~E(x10341,x10342)+E(f403(x10343,x10344,x10345,x10346,x10341,x10347,x10348),f403(x10343,x10344,x10345,x10346,x10342,x10347,x10348)) % 197.39/197.44 [1035]~E(x10351,x10352)+E(f403(x10353,x10354,x10355,x10356,x10357,x10351,x10358),f403(x10353,x10354,x10355,x10356,x10357,x10352,x10358)) % 197.39/197.44 [1036]~E(x10361,x10362)+E(f403(x10363,x10364,x10365,x10366,x10367,x10368,x10361),f403(x10363,x10364,x10365,x10366,x10367,x10368,x10362)) % 197.39/197.44 [1037]~E(x10371,x10372)+E(f135(x10371,x10373,x10374,x10375),f135(x10372,x10373,x10374,x10375)) % 197.39/197.44 [1038]~E(x10381,x10382)+E(f135(x10383,x10381,x10384,x10385),f135(x10383,x10382,x10384,x10385)) % 197.39/197.44 [1039]~E(x10391,x10392)+E(f135(x10393,x10394,x10391,x10395),f135(x10393,x10394,x10392,x10395)) % 197.39/197.44 [1040]~E(x10401,x10402)+E(f135(x10403,x10404,x10405,x10401),f135(x10403,x10404,x10405,x10402)) % 197.39/197.44 [1041]~E(x10411,x10412)+E(f258(x10411,x10413,x10414,x10415,x10416),f258(x10412,x10413,x10414,x10415,x10416)) % 197.39/197.44 [1042]~E(x10421,x10422)+E(f258(x10423,x10421,x10424,x10425,x10426),f258(x10423,x10422,x10424,x10425,x10426)) % 197.39/197.44 [1043]~E(x10431,x10432)+E(f258(x10433,x10434,x10431,x10435,x10436),f258(x10433,x10434,x10432,x10435,x10436)) % 197.39/197.44 [1044]~E(x10441,x10442)+E(f258(x10443,x10444,x10445,x10441,x10446),f258(x10443,x10444,x10445,x10442,x10446)) % 197.39/197.44 [1045]~E(x10451,x10452)+E(f258(x10453,x10454,x10455,x10456,x10451),f258(x10453,x10454,x10455,x10456,x10452)) % 197.39/197.44 [1046]~E(x10461,x10462)+E(f417(x10461,x10463),f417(x10462,x10463)) % 197.39/197.44 [1047]~E(x10471,x10472)+E(f417(x10473,x10471),f417(x10473,x10472)) % 197.39/197.44 [1048]~E(x10481,x10482)+E(f637(x10481,x10483,x10484,x10485,x10486),f637(x10482,x10483,x10484,x10485,x10486)) % 197.39/197.44 [1049]~E(x10491,x10492)+E(f637(x10493,x10491,x10494,x10495,x10496),f637(x10493,x10492,x10494,x10495,x10496)) % 197.39/197.44 [1050]~E(x10501,x10502)+E(f637(x10503,x10504,x10501,x10505,x10506),f637(x10503,x10504,x10502,x10505,x10506)) % 197.39/197.44 [1051]~E(x10511,x10512)+E(f637(x10513,x10514,x10515,x10511,x10516),f637(x10513,x10514,x10515,x10512,x10516)) % 197.39/197.44 [1052]~E(x10521,x10522)+E(f637(x10523,x10524,x10525,x10526,x10521),f637(x10523,x10524,x10525,x10526,x10522)) % 197.39/197.44 [1053]~E(x10531,x10532)+E(f171(x10531,x10533,x10534),f171(x10532,x10533,x10534)) % 197.39/197.44 [1054]~E(x10541,x10542)+E(f171(x10543,x10541,x10544),f171(x10543,x10542,x10544)) % 197.39/197.44 [1055]~E(x10551,x10552)+E(f171(x10553,x10554,x10551),f171(x10553,x10554,x10552)) % 197.39/197.44 [1056]~E(x10561,x10562)+E(f866(x10561,x10563,x10564),f866(x10562,x10563,x10564)) % 197.39/197.44 [1057]~E(x10571,x10572)+E(f866(x10573,x10571,x10574),f866(x10573,x10572,x10574)) % 197.39/197.44 [1058]~E(x10581,x10582)+E(f866(x10583,x10584,x10581),f866(x10583,x10584,x10582)) % 197.39/197.44 [1059]~E(x10591,x10592)+E(f577(x10591,x10593,x10594,x10595,x10596),f577(x10592,x10593,x10594,x10595,x10596)) % 197.39/197.44 [1060]~E(x10601,x10602)+E(f577(x10603,x10601,x10604,x10605,x10606),f577(x10603,x10602,x10604,x10605,x10606)) % 197.39/197.44 [1061]~E(x10611,x10612)+E(f577(x10613,x10614,x10611,x10615,x10616),f577(x10613,x10614,x10612,x10615,x10616)) % 197.39/197.44 [1062]~E(x10621,x10622)+E(f577(x10623,x10624,x10625,x10621,x10626),f577(x10623,x10624,x10625,x10622,x10626)) % 197.39/197.44 [1063]~E(x10631,x10632)+E(f577(x10633,x10634,x10635,x10636,x10631),f577(x10633,x10634,x10635,x10636,x10632)) % 197.39/197.44 [1064]~E(x10641,x10642)+E(f832(x10641,x10643,x10644,x10645),f832(x10642,x10643,x10644,x10645)) % 197.39/197.44 [1065]~E(x10651,x10652)+E(f832(x10653,x10651,x10654,x10655),f832(x10653,x10652,x10654,x10655)) % 197.39/197.44 [1066]~E(x10661,x10662)+E(f832(x10663,x10664,x10661,x10665),f832(x10663,x10664,x10662,x10665)) % 197.39/197.44 [1067]~E(x10671,x10672)+E(f832(x10673,x10674,x10675,x10671),f832(x10673,x10674,x10675,x10672)) % 197.39/197.44 [1068]~E(x10681,x10682)+E(f642(x10681,x10683),f642(x10682,x10683)) % 197.39/197.44 [1069]~E(x10691,x10692)+E(f642(x10693,x10691),f642(x10693,x10692)) % 197.39/197.44 [1070]~E(x10701,x10702)+E(f865(x10701,x10703,x10704),f865(x10702,x10703,x10704)) % 197.39/197.44 [1071]~E(x10711,x10712)+E(f865(x10713,x10711,x10714),f865(x10713,x10712,x10714)) % 197.39/197.44 [1072]~E(x10721,x10722)+E(f865(x10723,x10724,x10721),f865(x10723,x10724,x10722)) % 197.39/197.44 [1073]~E(x10731,x10732)+E(f220(x10731),f220(x10732)) % 197.39/197.44 [1074]~E(x10741,x10742)+E(f607(x10741,x10743,x10744),f607(x10742,x10743,x10744)) % 197.39/197.44 [1075]~E(x10751,x10752)+E(f607(x10753,x10751,x10754),f607(x10753,x10752,x10754)) % 197.39/197.44 [1076]~E(x10761,x10762)+E(f607(x10763,x10764,x10761),f607(x10763,x10764,x10762)) % 197.39/197.44 [1077]~E(x10771,x10772)+E(f21(x10771,x10773,x10774,x10775),f21(x10772,x10773,x10774,x10775)) % 197.39/197.44 [1078]~E(x10781,x10782)+E(f21(x10783,x10781,x10784,x10785),f21(x10783,x10782,x10784,x10785)) % 197.39/197.44 [1079]~E(x10791,x10792)+E(f21(x10793,x10794,x10791,x10795),f21(x10793,x10794,x10792,x10795)) % 197.39/197.44 [1080]~E(x10801,x10802)+E(f21(x10803,x10804,x10805,x10801),f21(x10803,x10804,x10805,x10802)) % 197.39/197.44 [1081]~E(x10811,x10812)+E(f638(x10811,x10813,x10814,x10815,x10816),f638(x10812,x10813,x10814,x10815,x10816)) % 197.39/197.44 [1082]~E(x10821,x10822)+E(f638(x10823,x10821,x10824,x10825,x10826),f638(x10823,x10822,x10824,x10825,x10826)) % 197.39/197.44 [1083]~E(x10831,x10832)+E(f638(x10833,x10834,x10831,x10835,x10836),f638(x10833,x10834,x10832,x10835,x10836)) % 197.39/197.44 [1084]~E(x10841,x10842)+E(f638(x10843,x10844,x10845,x10841,x10846),f638(x10843,x10844,x10845,x10842,x10846)) % 197.39/197.44 [1085]~E(x10851,x10852)+E(f638(x10853,x10854,x10855,x10856,x10851),f638(x10853,x10854,x10855,x10856,x10852)) % 197.39/197.44 [1086]~E(x10861,x10862)+E(f658(x10861,x10863),f658(x10862,x10863)) % 197.39/197.44 [1087]~E(x10871,x10872)+E(f658(x10873,x10871),f658(x10873,x10872)) % 197.39/197.44 [1088]~E(x10881,x10882)+E(f490(x10881,x10883,x10884,x10885),f490(x10882,x10883,x10884,x10885)) % 197.39/197.44 [1089]~E(x10891,x10892)+E(f490(x10893,x10891,x10894,x10895),f490(x10893,x10892,x10894,x10895)) % 197.39/197.44 [1090]~E(x10901,x10902)+E(f490(x10903,x10904,x10901,x10905),f490(x10903,x10904,x10902,x10905)) % 197.39/197.44 [1091]~E(x10911,x10912)+E(f490(x10913,x10914,x10915,x10911),f490(x10913,x10914,x10915,x10912)) % 197.39/197.44 [1092]~E(x10921,x10922)+E(f823(x10921,x10923,x10924),f823(x10922,x10923,x10924)) % 197.39/197.44 [1093]~E(x10931,x10932)+E(f823(x10933,x10931,x10934),f823(x10933,x10932,x10934)) % 197.39/197.44 [1094]~E(x10941,x10942)+E(f823(x10943,x10944,x10941),f823(x10943,x10944,x10942)) % 197.39/197.44 [1095]~E(x10951,x10952)+E(f464(x10951,x10953,x10954,x10955),f464(x10952,x10953,x10954,x10955)) % 197.39/197.44 [1096]~E(x10961,x10962)+E(f464(x10963,x10961,x10964,x10965),f464(x10963,x10962,x10964,x10965)) % 197.39/197.44 [1097]~E(x10971,x10972)+E(f464(x10973,x10974,x10971,x10975),f464(x10973,x10974,x10972,x10975)) % 197.39/197.44 [1098]~E(x10981,x10982)+E(f464(x10983,x10984,x10985,x10981),f464(x10983,x10984,x10985,x10982)) % 197.39/197.44 [1099]~E(x10991,x10992)+E(f789(x10991,x10993,x10994),f789(x10992,x10993,x10994)) % 197.39/197.44 [1100]~E(x11001,x11002)+E(f789(x11003,x11001,x11004),f789(x11003,x11002,x11004)) % 197.39/197.44 [1101]~E(x11011,x11012)+E(f789(x11013,x11014,x11011),f789(x11013,x11014,x11012)) % 197.39/197.44 [1102]~E(x11021,x11022)+E(f16(x11021,x11023),f16(x11022,x11023)) % 197.39/197.44 [1103]~E(x11031,x11032)+E(f16(x11033,x11031),f16(x11033,x11032)) % 197.39/197.44 [1104]~E(x11041,x11042)+E(f227(x11041),f227(x11042)) % 197.39/197.44 [1105]~E(x11051,x11052)+E(f218(x11051),f218(x11052)) % 197.39/197.44 [1106]~E(x11061,x11062)+E(f450(x11061,x11063,x11064,x11065,x11066,x11067),f450(x11062,x11063,x11064,x11065,x11066,x11067)) % 197.39/197.44 [1107]~E(x11071,x11072)+E(f450(x11073,x11071,x11074,x11075,x11076,x11077),f450(x11073,x11072,x11074,x11075,x11076,x11077)) % 197.39/197.44 [1108]~E(x11081,x11082)+E(f450(x11083,x11084,x11081,x11085,x11086,x11087),f450(x11083,x11084,x11082,x11085,x11086,x11087)) % 197.39/197.44 [1109]~E(x11091,x11092)+E(f450(x11093,x11094,x11095,x11091,x11096,x11097),f450(x11093,x11094,x11095,x11092,x11096,x11097)) % 197.39/197.44 [1110]~E(x11101,x11102)+E(f450(x11103,x11104,x11105,x11106,x11101,x11107),f450(x11103,x11104,x11105,x11106,x11102,x11107)) % 197.39/197.44 [1111]~E(x11111,x11112)+E(f450(x11113,x11114,x11115,x11116,x11117,x11111),f450(x11113,x11114,x11115,x11116,x11117,x11112)) % 197.39/197.44 [1112]~E(x11121,x11122)+E(f721(x11121,x11123,x11124,x11125,x11126,x11127,x11128),f721(x11122,x11123,x11124,x11125,x11126,x11127,x11128)) % 197.39/197.44 [1113]~E(x11131,x11132)+E(f721(x11133,x11131,x11134,x11135,x11136,x11137,x11138),f721(x11133,x11132,x11134,x11135,x11136,x11137,x11138)) % 197.39/197.44 [1114]~E(x11141,x11142)+E(f721(x11143,x11144,x11141,x11145,x11146,x11147,x11148),f721(x11143,x11144,x11142,x11145,x11146,x11147,x11148)) % 197.39/197.44 [1115]~E(x11151,x11152)+E(f721(x11153,x11154,x11155,x11151,x11156,x11157,x11158),f721(x11153,x11154,x11155,x11152,x11156,x11157,x11158)) % 197.39/197.44 [1116]~E(x11161,x11162)+E(f721(x11163,x11164,x11165,x11166,x11161,x11167,x11168),f721(x11163,x11164,x11165,x11166,x11162,x11167,x11168)) % 197.39/197.44 [1117]~E(x11171,x11172)+E(f721(x11173,x11174,x11175,x11176,x11177,x11171,x11178),f721(x11173,x11174,x11175,x11176,x11177,x11172,x11178)) % 197.39/197.44 [1118]~E(x11181,x11182)+E(f721(x11183,x11184,x11185,x11186,x11187,x11188,x11181),f721(x11183,x11184,x11185,x11186,x11187,x11188,x11182)) % 197.39/197.44 [1119]~E(x11191,x11192)+E(f206(x11191,x11193),f206(x11192,x11193)) % 197.39/197.44 [1120]~E(x11201,x11202)+E(f206(x11203,x11201),f206(x11203,x11202)) % 197.39/197.44 [1121]~E(x11211,x11212)+E(f151(x11211,x11213),f151(x11212,x11213)) % 197.39/197.44 [1122]~E(x11221,x11222)+E(f151(x11223,x11221),f151(x11223,x11222)) % 197.39/197.44 [1123]~E(x11231,x11232)+E(f138(x11231),f138(x11232)) % 197.39/197.44 [1124]~E(x11241,x11242)+E(f77(x11241,x11243,x11244),f77(x11242,x11243,x11244)) % 197.39/197.44 [1125]~E(x11251,x11252)+E(f77(x11253,x11251,x11254),f77(x11253,x11252,x11254)) % 197.39/197.44 [1126]~E(x11261,x11262)+E(f77(x11263,x11264,x11261),f77(x11263,x11264,x11262)) % 197.39/197.44 [1127]~E(x11271,x11272)+E(f380(x11271,x11273,x11274,x11275,x11276),f380(x11272,x11273,x11274,x11275,x11276)) % 197.39/197.44 [1128]~E(x11281,x11282)+E(f380(x11283,x11281,x11284,x11285,x11286),f380(x11283,x11282,x11284,x11285,x11286)) % 197.39/197.44 [1129]~E(x11291,x11292)+E(f380(x11293,x11294,x11291,x11295,x11296),f380(x11293,x11294,x11292,x11295,x11296)) % 197.39/197.44 [1130]~E(x11301,x11302)+E(f380(x11303,x11304,x11305,x11301,x11306),f380(x11303,x11304,x11305,x11302,x11306)) % 197.39/197.44 [1131]~E(x11311,x11312)+E(f380(x11313,x11314,x11315,x11316,x11311),f380(x11313,x11314,x11315,x11316,x11312)) % 197.39/197.44 [1132]~E(x11321,x11322)+E(f495(x11321,x11323,x11324),f495(x11322,x11323,x11324)) % 197.39/197.44 [1133]~E(x11331,x11332)+E(f495(x11333,x11331,x11334),f495(x11333,x11332,x11334)) % 197.39/197.44 [1134]~E(x11341,x11342)+E(f495(x11343,x11344,x11341),f495(x11343,x11344,x11342)) % 197.39/197.44 [1135]~E(x11351,x11352)+E(f745(x11351,x11353,x11354),f745(x11352,x11353,x11354)) % 197.39/197.44 [1136]~E(x11361,x11362)+E(f745(x11363,x11361,x11364),f745(x11363,x11362,x11364)) % 197.39/197.44 [1137]~E(x11371,x11372)+E(f745(x11373,x11374,x11371),f745(x11373,x11374,x11372)) % 197.39/197.44 [1138]~E(x11381,x11382)+E(f47(x11381,x11383),f47(x11382,x11383)) % 197.39/197.44 [1139]~E(x11391,x11392)+E(f47(x11393,x11391),f47(x11393,x11392)) % 197.39/197.44 [1140]~E(x11401,x11402)+E(f153(x11401,x11403,x11404,x11405),f153(x11402,x11403,x11404,x11405)) % 197.39/197.44 [1141]~E(x11411,x11412)+E(f153(x11413,x11411,x11414,x11415),f153(x11413,x11412,x11414,x11415)) % 197.39/197.44 [1142]~E(x11421,x11422)+E(f153(x11423,x11424,x11421,x11425),f153(x11423,x11424,x11422,x11425)) % 197.39/197.44 [1143]~E(x11431,x11432)+E(f153(x11433,x11434,x11435,x11431),f153(x11433,x11434,x11435,x11432)) % 197.39/197.44 [1144]~E(x11441,x11442)+E(f41(x11441,x11443),f41(x11442,x11443)) % 197.39/197.44 [1145]~E(x11451,x11452)+E(f41(x11453,x11451),f41(x11453,x11452)) % 197.39/197.44 [1146]~E(x11461,x11462)+E(f106(x11461,x11463,x11464),f106(x11462,x11463,x11464)) % 197.39/197.44 [1147]~E(x11471,x11472)+E(f106(x11473,x11471,x11474),f106(x11473,x11472,x11474)) % 197.39/197.44 [1148]~E(x11481,x11482)+E(f106(x11483,x11484,x11481),f106(x11483,x11484,x11482)) % 197.39/197.44 [1149]~E(x11491,x11492)+E(f76(x11491,x11493,x11494),f76(x11492,x11493,x11494)) % 197.39/197.44 [1150]~E(x11501,x11502)+E(f76(x11503,x11501,x11504),f76(x11503,x11502,x11504)) % 197.39/197.44 [1151]~E(x11511,x11512)+E(f76(x11513,x11514,x11511),f76(x11513,x11514,x11512)) % 197.39/197.44 [1152]~E(x11521,x11522)+E(f669(x11521,x11523,x11524,x11525),f669(x11522,x11523,x11524,x11525)) % 197.39/197.44 [1153]~E(x11531,x11532)+E(f669(x11533,x11531,x11534,x11535),f669(x11533,x11532,x11534,x11535)) % 197.39/197.44 [1154]~E(x11541,x11542)+E(f669(x11543,x11544,x11541,x11545),f669(x11543,x11544,x11542,x11545)) % 197.39/197.44 [1155]~E(x11551,x11552)+E(f669(x11553,x11554,x11555,x11551),f669(x11553,x11554,x11555,x11552)) % 197.39/197.44 [1156]~E(x11561,x11562)+E(f442(x11561,x11563,x11564,x11565),f442(x11562,x11563,x11564,x11565)) % 197.39/197.44 [1157]~E(x11571,x11572)+E(f442(x11573,x11571,x11574,x11575),f442(x11573,x11572,x11574,x11575)) % 197.39/197.44 [1158]~E(x11581,x11582)+E(f442(x11583,x11584,x11581,x11585),f442(x11583,x11584,x11582,x11585)) % 197.39/197.44 [1159]~E(x11591,x11592)+E(f442(x11593,x11594,x11595,x11591),f442(x11593,x11594,x11595,x11592)) % 197.39/197.44 [1160]~E(x11601,x11602)+E(f229(x11601,x11603,x11604,x11605),f229(x11602,x11603,x11604,x11605)) % 197.39/197.44 [1161]~E(x11611,x11612)+E(f229(x11613,x11611,x11614,x11615),f229(x11613,x11612,x11614,x11615)) % 197.39/197.44 [1162]~E(x11621,x11622)+E(f229(x11623,x11624,x11621,x11625),f229(x11623,x11624,x11622,x11625)) % 197.39/197.44 [1163]~E(x11631,x11632)+E(f229(x11633,x11634,x11635,x11631),f229(x11633,x11634,x11635,x11632)) % 197.39/197.44 [1164]~E(x11641,x11642)+E(f46(x11641),f46(x11642)) % 197.39/197.44 [1165]~E(x11651,x11652)+E(f817(x11651,x11653,x11654),f817(x11652,x11653,x11654)) % 197.39/197.44 [1166]~E(x11661,x11662)+E(f817(x11663,x11661,x11664),f817(x11663,x11662,x11664)) % 197.39/197.44 [1167]~E(x11671,x11672)+E(f817(x11673,x11674,x11671),f817(x11673,x11674,x11672)) % 197.39/197.44 [1168]~E(x11681,x11682)+E(f749(x11681,x11683,x11684,x11685,x11686,x11687,x11688,x11689),f749(x11682,x11683,x11684,x11685,x11686,x11687,x11688,x11689)) % 197.39/197.44 [1169]~E(x11691,x11692)+E(f749(x11693,x11691,x11694,x11695,x11696,x11697,x11698,x11699),f749(x11693,x11692,x11694,x11695,x11696,x11697,x11698,x11699)) % 197.39/197.44 [1170]~E(x11701,x11702)+E(f749(x11703,x11704,x11701,x11705,x11706,x11707,x11708,x11709),f749(x11703,x11704,x11702,x11705,x11706,x11707,x11708,x11709)) % 197.39/197.44 [1171]~E(x11711,x11712)+E(f749(x11713,x11714,x11715,x11711,x11716,x11717,x11718,x11719),f749(x11713,x11714,x11715,x11712,x11716,x11717,x11718,x11719)) % 197.39/197.44 [1172]~E(x11721,x11722)+E(f749(x11723,x11724,x11725,x11726,x11721,x11727,x11728,x11729),f749(x11723,x11724,x11725,x11726,x11722,x11727,x11728,x11729)) % 197.39/197.44 [1173]~E(x11731,x11732)+E(f749(x11733,x11734,x11735,x11736,x11737,x11731,x11738,x11739),f749(x11733,x11734,x11735,x11736,x11737,x11732,x11738,x11739)) % 197.39/197.44 [1174]~E(x11741,x11742)+E(f749(x11743,x11744,x11745,x11746,x11747,x11748,x11741,x11749),f749(x11743,x11744,x11745,x11746,x11747,x11748,x11742,x11749)) % 197.39/197.44 [1175]~E(x11751,x11752)+E(f749(x11753,x11754,x11755,x11756,x11757,x11758,x11759,x11751),f749(x11753,x11754,x11755,x11756,x11757,x11758,x11759,x11752)) % 197.39/197.44 [1176]~E(x11761,x11762)+E(f289(x11761,x11763,x11764,x11765),f289(x11762,x11763,x11764,x11765)) % 197.39/197.44 [1177]~E(x11771,x11772)+E(f289(x11773,x11771,x11774,x11775),f289(x11773,x11772,x11774,x11775)) % 197.39/197.44 [1178]~E(x11781,x11782)+E(f289(x11783,x11784,x11781,x11785),f289(x11783,x11784,x11782,x11785)) % 197.39/197.44 [1179]~E(x11791,x11792)+E(f289(x11793,x11794,x11795,x11791),f289(x11793,x11794,x11795,x11792)) % 197.39/197.44 [1180]~E(x11801,x11802)+E(f761(x11801,x11803,x11804),f761(x11802,x11803,x11804)) % 197.39/197.44 [1181]~E(x11811,x11812)+E(f761(x11813,x11811,x11814),f761(x11813,x11812,x11814)) % 197.39/197.44 [1182]~E(x11821,x11822)+E(f761(x11823,x11824,x11821),f761(x11823,x11824,x11822)) % 197.39/197.44 [1183]~E(x11831,x11832)+E(f28(x11831,x11833,x11834),f28(x11832,x11833,x11834)) % 197.39/197.44 [1184]~E(x11841,x11842)+E(f28(x11843,x11841,x11844),f28(x11843,x11842,x11844)) % 197.39/197.44 [1185]~E(x11851,x11852)+E(f28(x11853,x11854,x11851),f28(x11853,x11854,x11852)) % 197.39/197.44 [1186]~E(x11861,x11862)+E(f145(x11861,x11863,x11864),f145(x11862,x11863,x11864)) % 197.39/197.44 [1187]~E(x11871,x11872)+E(f145(x11873,x11871,x11874),f145(x11873,x11872,x11874)) % 197.39/197.44 [1188]~E(x11881,x11882)+E(f145(x11883,x11884,x11881),f145(x11883,x11884,x11882)) % 197.39/197.44 [1189]~E(x11891,x11892)+E(f629(x11891,x11893,x11894),f629(x11892,x11893,x11894)) % 197.39/197.44 [1190]~E(x11901,x11902)+E(f629(x11903,x11901,x11904),f629(x11903,x11902,x11904)) % 197.39/197.44 [1191]~E(x11911,x11912)+E(f629(x11913,x11914,x11911),f629(x11913,x11914,x11912)) % 197.39/197.44 [1192]~E(x11921,x11922)+E(f528(x11921,x11923,x11924,x11925,x11926),f528(x11922,x11923,x11924,x11925,x11926)) % 197.39/197.44 [1193]~E(x11931,x11932)+E(f528(x11933,x11931,x11934,x11935,x11936),f528(x11933,x11932,x11934,x11935,x11936)) % 197.39/197.44 [1194]~E(x11941,x11942)+E(f528(x11943,x11944,x11941,x11945,x11946),f528(x11943,x11944,x11942,x11945,x11946)) % 197.39/197.44 [1195]~E(x11951,x11952)+E(f528(x11953,x11954,x11955,x11951,x11956),f528(x11953,x11954,x11955,x11952,x11956)) % 197.39/197.44 [1196]~E(x11961,x11962)+E(f528(x11963,x11964,x11965,x11966,x11961),f528(x11963,x11964,x11965,x11966,x11962)) % 197.39/197.44 [1197]~E(x11971,x11972)+E(f49(x11971,x11973),f49(x11972,x11973)) % 197.39/197.44 [1198]~E(x11981,x11982)+E(f49(x11983,x11981),f49(x11983,x11982)) % 197.39/197.44 [1199]~E(x11991,x11992)+E(f626(x11991,x11993,x11994,x11995,x11996),f626(x11992,x11993,x11994,x11995,x11996)) % 197.39/197.44 [1200]~E(x12001,x12002)+E(f626(x12003,x12001,x12004,x12005,x12006),f626(x12003,x12002,x12004,x12005,x12006)) % 197.39/197.44 [1201]~E(x12011,x12012)+E(f626(x12013,x12014,x12011,x12015,x12016),f626(x12013,x12014,x12012,x12015,x12016)) % 197.39/197.44 [1202]~E(x12021,x12022)+E(f626(x12023,x12024,x12025,x12021,x12026),f626(x12023,x12024,x12025,x12022,x12026)) % 197.39/197.44 [1203]~E(x12031,x12032)+E(f626(x12033,x12034,x12035,x12036,x12031),f626(x12033,x12034,x12035,x12036,x12032)) % 197.39/197.44 [1204]~E(x12041,x12042)+E(f299(x12041,x12043),f299(x12042,x12043)) % 197.39/197.44 [1205]~E(x12051,x12052)+E(f299(x12053,x12051),f299(x12053,x12052)) % 197.39/197.44 [1206]~E(x12061,x12062)+E(f869(x12061,x12063,x12064),f869(x12062,x12063,x12064)) % 197.39/197.44 [1207]~E(x12071,x12072)+E(f869(x12073,x12071,x12074),f869(x12073,x12072,x12074)) % 197.39/197.44 [1208]~E(x12081,x12082)+E(f869(x12083,x12084,x12081),f869(x12083,x12084,x12082)) % 197.39/197.44 [1209]~E(x12091,x12092)+E(f820(x12091,x12093,x12094),f820(x12092,x12093,x12094)) % 197.39/197.44 [1210]~E(x12101,x12102)+E(f820(x12103,x12101,x12104),f820(x12103,x12102,x12104)) % 197.39/197.44 [1211]~E(x12111,x12112)+E(f820(x12113,x12114,x12111),f820(x12113,x12114,x12112)) % 197.39/197.44 [1212]~E(x12121,x12122)+E(f429(x12121,x12123,x12124,x12125,x12126,x12127),f429(x12122,x12123,x12124,x12125,x12126,x12127)) % 197.39/197.44 [1213]~E(x12131,x12132)+E(f429(x12133,x12131,x12134,x12135,x12136,x12137),f429(x12133,x12132,x12134,x12135,x12136,x12137)) % 197.39/197.44 [1214]~E(x12141,x12142)+E(f429(x12143,x12144,x12141,x12145,x12146,x12147),f429(x12143,x12144,x12142,x12145,x12146,x12147)) % 197.39/197.44 [1215]~E(x12151,x12152)+E(f429(x12153,x12154,x12155,x12151,x12156,x12157),f429(x12153,x12154,x12155,x12152,x12156,x12157)) % 197.39/197.44 [1216]~E(x12161,x12162)+E(f429(x12163,x12164,x12165,x12166,x12161,x12167),f429(x12163,x12164,x12165,x12166,x12162,x12167)) % 197.39/197.44 [1217]~E(x12171,x12172)+E(f429(x12173,x12174,x12175,x12176,x12177,x12171),f429(x12173,x12174,x12175,x12176,x12177,x12172)) % 197.39/197.44 [1218]~E(x12181,x12182)+E(f807(x12181,x12183,x12184),f807(x12182,x12183,x12184)) % 197.39/197.44 [1219]~E(x12191,x12192)+E(f807(x12193,x12191,x12194),f807(x12193,x12192,x12194)) % 197.39/197.44 [1220]~E(x12201,x12202)+E(f807(x12203,x12204,x12201),f807(x12203,x12204,x12202)) % 197.39/197.44 [1221]~E(x12211,x12212)+E(f516(x12211,x12213,x12214),f516(x12212,x12213,x12214)) % 197.39/197.44 [1222]~E(x12221,x12222)+E(f516(x12223,x12221,x12224),f516(x12223,x12222,x12224)) % 197.39/197.44 [1223]~E(x12231,x12232)+E(f516(x12233,x12234,x12231),f516(x12233,x12234,x12232)) % 197.39/197.44 [1224]~E(x12241,x12242)+E(f848(x12241),f848(x12242)) % 197.39/197.44 [1225]~E(x12251,x12252)+E(f124(x12251),f124(x12252)) % 197.39/197.44 [1226]~E(x12261,x12262)+E(f714(x12261,x12263,x12264,x12265,x12266),f714(x12262,x12263,x12264,x12265,x12266)) % 197.39/197.44 [1227]~E(x12271,x12272)+E(f714(x12273,x12271,x12274,x12275,x12276),f714(x12273,x12272,x12274,x12275,x12276)) % 197.39/197.44 [1228]~E(x12281,x12282)+E(f714(x12283,x12284,x12281,x12285,x12286),f714(x12283,x12284,x12282,x12285,x12286)) % 197.39/197.44 [1229]~E(x12291,x12292)+E(f714(x12293,x12294,x12295,x12291,x12296),f714(x12293,x12294,x12295,x12292,x12296)) % 197.39/197.44 [1230]~E(x12301,x12302)+E(f714(x12303,x12304,x12305,x12306,x12301),f714(x12303,x12304,x12305,x12306,x12302)) % 197.39/197.44 [1231]~E(x12311,x12312)+E(f541(x12311,x12313,x12314),f541(x12312,x12313,x12314)) % 197.39/197.44 [1232]~E(x12321,x12322)+E(f541(x12323,x12321,x12324),f541(x12323,x12322,x12324)) % 197.39/197.44 [1233]~E(x12331,x12332)+E(f541(x12333,x12334,x12331),f541(x12333,x12334,x12332)) % 197.39/197.44 [1234]~E(x12341,x12342)+E(f733(x12341,x12343,x12344),f733(x12342,x12343,x12344)) % 197.39/197.44 [1235]~E(x12351,x12352)+E(f733(x12353,x12351,x12354),f733(x12353,x12352,x12354)) % 197.39/197.44 [1236]~E(x12361,x12362)+E(f733(x12363,x12364,x12361),f733(x12363,x12364,x12362)) % 197.39/197.44 [1237]~E(x12371,x12372)+E(f254(x12371,x12373,x12374),f254(x12372,x12373,x12374)) % 197.39/197.44 [1238]~E(x12381,x12382)+E(f254(x12383,x12381,x12384),f254(x12383,x12382,x12384)) % 197.39/197.44 [1239]~E(x12391,x12392)+E(f254(x12393,x12394,x12391),f254(x12393,x12394,x12392)) % 197.39/197.44 [1240]~E(x12401,x12402)+E(f799(x12401,x12403,x12404),f799(x12402,x12403,x12404)) % 197.39/197.44 [1241]~E(x12411,x12412)+E(f799(x12413,x12411,x12414),f799(x12413,x12412,x12414)) % 197.39/197.44 [1242]~E(x12421,x12422)+E(f799(x12423,x12424,x12421),f799(x12423,x12424,x12422)) % 197.39/197.44 [1243]~E(x12431,x12432)+E(f328(x12431,x12433,x12434,x12435,x12436,x12437),f328(x12432,x12433,x12434,x12435,x12436,x12437)) % 197.39/197.44 [1244]~E(x12441,x12442)+E(f328(x12443,x12441,x12444,x12445,x12446,x12447),f328(x12443,x12442,x12444,x12445,x12446,x12447)) % 197.39/197.44 [1245]~E(x12451,x12452)+E(f328(x12453,x12454,x12451,x12455,x12456,x12457),f328(x12453,x12454,x12452,x12455,x12456,x12457)) % 197.39/197.44 [1246]~E(x12461,x12462)+E(f328(x12463,x12464,x12465,x12461,x12466,x12467),f328(x12463,x12464,x12465,x12462,x12466,x12467)) % 197.39/197.44 [1247]~E(x12471,x12472)+E(f328(x12473,x12474,x12475,x12476,x12471,x12477),f328(x12473,x12474,x12475,x12476,x12472,x12477)) % 197.39/197.44 [1248]~E(x12481,x12482)+E(f328(x12483,x12484,x12485,x12486,x12487,x12481),f328(x12483,x12484,x12485,x12486,x12487,x12482)) % 197.39/197.44 [1249]~E(x12491,x12492)+E(f582(x12491,x12493,x12494,x12495),f582(x12492,x12493,x12494,x12495)) % 197.39/197.44 [1250]~E(x12501,x12502)+E(f582(x12503,x12501,x12504,x12505),f582(x12503,x12502,x12504,x12505)) % 197.39/197.44 [1251]~E(x12511,x12512)+E(f582(x12513,x12514,x12511,x12515),f582(x12513,x12514,x12512,x12515)) % 197.39/197.44 [1252]~E(x12521,x12522)+E(f582(x12523,x12524,x12525,x12521),f582(x12523,x12524,x12525,x12522)) % 197.39/197.44 [1253]~E(x12531,x12532)+E(f497(x12531,x12533,x12534,x12535,x12536),f497(x12532,x12533,x12534,x12535,x12536)) % 197.39/197.44 [1254]~E(x12541,x12542)+E(f497(x12543,x12541,x12544,x12545,x12546),f497(x12543,x12542,x12544,x12545,x12546)) % 197.39/197.44 [1255]~E(x12551,x12552)+E(f497(x12553,x12554,x12551,x12555,x12556),f497(x12553,x12554,x12552,x12555,x12556)) % 197.39/197.44 [1256]~E(x12561,x12562)+E(f497(x12563,x12564,x12565,x12561,x12566),f497(x12563,x12564,x12565,x12562,x12566)) % 197.39/197.44 [1257]~E(x12571,x12572)+E(f497(x12573,x12574,x12575,x12576,x12571),f497(x12573,x12574,x12575,x12576,x12572)) % 197.39/197.44 [1258]~E(x12581,x12582)+E(f715(x12581,x12583,x12584,x12585,x12586),f715(x12582,x12583,x12584,x12585,x12586)) % 197.39/197.44 [1259]~E(x12591,x12592)+E(f715(x12593,x12591,x12594,x12595,x12596),f715(x12593,x12592,x12594,x12595,x12596)) % 197.39/197.44 [1260]~E(x12601,x12602)+E(f715(x12603,x12604,x12601,x12605,x12606),f715(x12603,x12604,x12602,x12605,x12606)) % 197.39/197.44 [1261]~E(x12611,x12612)+E(f715(x12613,x12614,x12615,x12611,x12616),f715(x12613,x12614,x12615,x12612,x12616)) % 197.39/197.44 [1262]~E(x12621,x12622)+E(f715(x12623,x12624,x12625,x12626,x12621),f715(x12623,x12624,x12625,x12626,x12622)) % 197.39/197.44 [1263]~E(x12631,x12632)+E(f555(x12631,x12633,x12634),f555(x12632,x12633,x12634)) % 197.39/197.44 [1264]~E(x12641,x12642)+E(f555(x12643,x12641,x12644),f555(x12643,x12642,x12644)) % 197.39/197.44 [1265]~E(x12651,x12652)+E(f555(x12653,x12654,x12651),f555(x12653,x12654,x12652)) % 197.39/197.44 [1266]~E(x12661,x12662)+E(f45(x12661),f45(x12662)) % 197.39/197.44 [1267]~E(x12671,x12672)+E(f706(x12671,x12673,x12674),f706(x12672,x12673,x12674)) % 197.39/197.44 [1268]~E(x12681,x12682)+E(f706(x12683,x12681,x12684),f706(x12683,x12682,x12684)) % 197.39/197.44 [1269]~E(x12691,x12692)+E(f706(x12693,x12694,x12691),f706(x12693,x12694,x12692)) % 197.39/197.44 [1270]~E(x12701,x12702)+E(f407(x12701,x12703,x12704),f407(x12702,x12703,x12704)) % 197.39/197.44 [1271]~E(x12711,x12712)+E(f407(x12713,x12711,x12714),f407(x12713,x12712,x12714)) % 197.39/197.44 [1272]~E(x12721,x12722)+E(f407(x12723,x12724,x12721),f407(x12723,x12724,x12722)) % 197.39/197.44 [1273]~E(x12731,x12732)+E(f615(x12731,x12733,x12734,x12735),f615(x12732,x12733,x12734,x12735)) % 197.39/197.44 [1274]~E(x12741,x12742)+E(f615(x12743,x12741,x12744,x12745),f615(x12743,x12742,x12744,x12745)) % 197.39/197.44 [1275]~E(x12751,x12752)+E(f615(x12753,x12754,x12751,x12755),f615(x12753,x12754,x12752,x12755)) % 197.39/197.44 [1276]~E(x12761,x12762)+E(f615(x12763,x12764,x12765,x12761),f615(x12763,x12764,x12765,x12762)) % 197.39/197.44 [1277]~E(x12771,x12772)+E(f574(x12771,x12773,x12774,x12775),f574(x12772,x12773,x12774,x12775)) % 197.39/197.44 [1278]~E(x12781,x12782)+E(f574(x12783,x12781,x12784,x12785),f574(x12783,x12782,x12784,x12785)) % 197.39/197.44 [1279]~E(x12791,x12792)+E(f574(x12793,x12794,x12791,x12795),f574(x12793,x12794,x12792,x12795)) % 197.39/197.44 [1280]~E(x12801,x12802)+E(f574(x12803,x12804,x12805,x12801),f574(x12803,x12804,x12805,x12802)) % 197.39/197.44 [1281]~E(x12811,x12812)+E(f275(x12811),f275(x12812)) % 197.39/197.44 [1282]~E(x12821,x12822)+E(f747(x12821,x12823,x12824),f747(x12822,x12823,x12824)) % 197.39/197.44 [1283]~E(x12831,x12832)+E(f747(x12833,x12831,x12834),f747(x12833,x12832,x12834)) % 197.39/197.44 [1284]~E(x12841,x12842)+E(f747(x12843,x12844,x12841),f747(x12843,x12844,x12842)) % 197.39/197.44 [1285]~E(x12851,x12852)+E(f796(x12851,x12853,x12854,x12855,x12856,x12857,x12858,x12859),f796(x12852,x12853,x12854,x12855,x12856,x12857,x12858,x12859)) % 197.39/197.44 [1286]~E(x12861,x12862)+E(f796(x12863,x12861,x12864,x12865,x12866,x12867,x12868,x12869),f796(x12863,x12862,x12864,x12865,x12866,x12867,x12868,x12869)) % 197.39/197.44 [1287]~E(x12871,x12872)+E(f796(x12873,x12874,x12871,x12875,x12876,x12877,x12878,x12879),f796(x12873,x12874,x12872,x12875,x12876,x12877,x12878,x12879)) % 197.39/197.44 [1288]~E(x12881,x12882)+E(f796(x12883,x12884,x12885,x12881,x12886,x12887,x12888,x12889),f796(x12883,x12884,x12885,x12882,x12886,x12887,x12888,x12889)) % 197.39/197.44 [1289]~E(x12891,x12892)+E(f796(x12893,x12894,x12895,x12896,x12891,x12897,x12898,x12899),f796(x12893,x12894,x12895,x12896,x12892,x12897,x12898,x12899)) % 197.39/197.44 [1290]~E(x12901,x12902)+E(f796(x12903,x12904,x12905,x12906,x12907,x12901,x12908,x12909),f796(x12903,x12904,x12905,x12906,x12907,x12902,x12908,x12909)) % 197.39/197.44 [1291]~E(x12911,x12912)+E(f796(x12913,x12914,x12915,x12916,x12917,x12918,x12911,x12919),f796(x12913,x12914,x12915,x12916,x12917,x12918,x12912,x12919)) % 197.39/197.44 [1292]~E(x12921,x12922)+E(f796(x12923,x12924,x12925,x12926,x12927,x12928,x12929,x12921),f796(x12923,x12924,x12925,x12926,x12927,x12928,x12929,x12922)) % 197.39/197.44 [1293]~E(x12931,x12932)+E(f584(x12931,x12933,x12934,x12935),f584(x12932,x12933,x12934,x12935)) % 197.39/197.44 [1294]~E(x12941,x12942)+E(f584(x12943,x12941,x12944,x12945),f584(x12943,x12942,x12944,x12945)) % 197.39/197.44 [1295]~E(x12951,x12952)+E(f584(x12953,x12954,x12951,x12955),f584(x12953,x12954,x12952,x12955)) % 197.39/197.44 [1296]~E(x12961,x12962)+E(f584(x12963,x12964,x12965,x12961),f584(x12963,x12964,x12965,x12962)) % 197.39/197.44 [1297]~E(x12971,x12972)+E(f550(x12971,x12973),f550(x12972,x12973)) % 197.39/197.44 [1298]~E(x12981,x12982)+E(f550(x12983,x12981),f550(x12983,x12982)) % 197.39/197.44 [1299]~E(x12991,x12992)+E(f855(x12991,x12993,x12994),f855(x12992,x12993,x12994)) % 197.39/197.44 [1300]~E(x13001,x13002)+E(f855(x13003,x13001,x13004),f855(x13003,x13002,x13004)) % 197.39/197.44 [1301]~E(x13011,x13012)+E(f855(x13013,x13014,x13011),f855(x13013,x13014,x13012)) % 197.39/197.44 [1302]~E(x13021,x13022)+E(f611(x13021,x13023,x13024,x13025),f611(x13022,x13023,x13024,x13025)) % 197.39/197.44 [1303]~E(x13031,x13032)+E(f611(x13033,x13031,x13034,x13035),f611(x13033,x13032,x13034,x13035)) % 197.39/197.44 [1304]~E(x13041,x13042)+E(f611(x13043,x13044,x13041,x13045),f611(x13043,x13044,x13042,x13045)) % 197.39/197.44 [1305]~E(x13051,x13052)+E(f611(x13053,x13054,x13055,x13051),f611(x13053,x13054,x13055,x13052)) % 197.39/197.44 [1306]~E(x13061,x13062)+E(f657(x13061,x13063),f657(x13062,x13063)) % 197.39/197.44 [1307]~E(x13071,x13072)+E(f657(x13073,x13071),f657(x13073,x13072)) % 197.39/197.44 [1308]~E(x13081,x13082)+E(f492(x13081,x13083,x13084,x13085),f492(x13082,x13083,x13084,x13085)) % 197.39/197.44 [1309]~E(x13091,x13092)+E(f492(x13093,x13091,x13094,x13095),f492(x13093,x13092,x13094,x13095)) % 197.39/197.44 [1310]~E(x13101,x13102)+E(f492(x13103,x13104,x13101,x13105),f492(x13103,x13104,x13102,x13105)) % 197.39/197.44 [1311]~E(x13111,x13112)+E(f492(x13113,x13114,x13115,x13111),f492(x13113,x13114,x13115,x13112)) % 197.39/197.44 [1312]~E(x13121,x13122)+E(f488(x13121,x13123,x13124,x13125,x13126),f488(x13122,x13123,x13124,x13125,x13126)) % 197.39/197.44 [1313]~E(x13131,x13132)+E(f488(x13133,x13131,x13134,x13135,x13136),f488(x13133,x13132,x13134,x13135,x13136)) % 197.39/197.44 [1314]~E(x13141,x13142)+E(f488(x13143,x13144,x13141,x13145,x13146),f488(x13143,x13144,x13142,x13145,x13146)) % 197.39/197.44 [1315]~E(x13151,x13152)+E(f488(x13153,x13154,x13155,x13151,x13156),f488(x13153,x13154,x13155,x13152,x13156)) % 197.39/197.44 [1316]~E(x13161,x13162)+E(f488(x13163,x13164,x13165,x13166,x13161),f488(x13163,x13164,x13165,x13166,x13162)) % 197.39/197.44 [1317]~E(x13171,x13172)+E(f456(x13171,x13173,x13174,x13175),f456(x13172,x13173,x13174,x13175)) % 197.39/197.44 [1318]~E(x13181,x13182)+E(f456(x13183,x13181,x13184,x13185),f456(x13183,x13182,x13184,x13185)) % 197.39/197.44 [1319]~E(x13191,x13192)+E(f456(x13193,x13194,x13191,x13195),f456(x13193,x13194,x13192,x13195)) % 197.39/197.44 [1320]~E(x13201,x13202)+E(f456(x13203,x13204,x13205,x13201),f456(x13203,x13204,x13205,x13202)) % 197.39/197.44 [1321]~E(x13211,x13212)+E(f489(x13211,x13213,x13214,x13215,x13216),f489(x13212,x13213,x13214,x13215,x13216)) % 197.39/197.44 [1322]~E(x13221,x13222)+E(f489(x13223,x13221,x13224,x13225,x13226),f489(x13223,x13222,x13224,x13225,x13226)) % 197.39/197.44 [1323]~E(x13231,x13232)+E(f489(x13233,x13234,x13231,x13235,x13236),f489(x13233,x13234,x13232,x13235,x13236)) % 197.39/197.44 [1324]~E(x13241,x13242)+E(f489(x13243,x13244,x13245,x13241,x13246),f489(x13243,x13244,x13245,x13242,x13246)) % 197.39/197.44 [1325]~E(x13251,x13252)+E(f489(x13253,x13254,x13255,x13256,x13251),f489(x13253,x13254,x13255,x13256,x13252)) % 197.39/197.44 [1326]~E(x13261,x13262)+E(f861(x13261,x13263,x13264),f861(x13262,x13263,x13264)) % 197.39/197.44 [1327]~E(x13271,x13272)+E(f861(x13273,x13271,x13274),f861(x13273,x13272,x13274)) % 197.39/197.44 [1328]~E(x13281,x13282)+E(f861(x13283,x13284,x13281),f861(x13283,x13284,x13282)) % 197.39/197.44 [1329]~E(x13291,x13292)+E(f561(x13291,x13293,x13294,x13295,x13296,x13297,x13298),f561(x13292,x13293,x13294,x13295,x13296,x13297,x13298)) % 197.39/197.44 [1330]~E(x13301,x13302)+E(f561(x13303,x13301,x13304,x13305,x13306,x13307,x13308),f561(x13303,x13302,x13304,x13305,x13306,x13307,x13308)) % 197.39/197.44 [1331]~E(x13311,x13312)+E(f561(x13313,x13314,x13311,x13315,x13316,x13317,x13318),f561(x13313,x13314,x13312,x13315,x13316,x13317,x13318)) % 197.39/197.44 [1332]~E(x13321,x13322)+E(f561(x13323,x13324,x13325,x13321,x13326,x13327,x13328),f561(x13323,x13324,x13325,x13322,x13326,x13327,x13328)) % 197.39/197.44 [1333]~E(x13331,x13332)+E(f561(x13333,x13334,x13335,x13336,x13331,x13337,x13338),f561(x13333,x13334,x13335,x13336,x13332,x13337,x13338)) % 197.39/197.44 [1334]~E(x13341,x13342)+E(f561(x13343,x13344,x13345,x13346,x13347,x13341,x13348),f561(x13343,x13344,x13345,x13346,x13347,x13342,x13348)) % 197.39/197.44 [1335]~E(x13351,x13352)+E(f561(x13353,x13354,x13355,x13356,x13357,x13358,x13351),f561(x13353,x13354,x13355,x13356,x13357,x13358,x13352)) % 197.39/197.44 [1336]~E(x13361,x13362)+E(f769(x13361,x13363,x13364,x13365),f769(x13362,x13363,x13364,x13365)) % 197.39/197.44 [1337]~E(x13371,x13372)+E(f769(x13373,x13371,x13374,x13375),f769(x13373,x13372,x13374,x13375)) % 197.39/197.44 [1338]~E(x13381,x13382)+E(f769(x13383,x13384,x13381,x13385),f769(x13383,x13384,x13382,x13385)) % 197.39/197.44 [1339]~E(x13391,x13392)+E(f769(x13393,x13394,x13395,x13391),f769(x13393,x13394,x13395,x13392)) % 197.39/197.44 [1340]~E(x13401,x13402)+E(f687(x13401,x13403,x13404,x13405),f687(x13402,x13403,x13404,x13405)) % 197.39/197.44 [1341]~E(x13411,x13412)+E(f687(x13413,x13411,x13414,x13415),f687(x13413,x13412,x13414,x13415)) % 197.39/197.44 [1342]~E(x13421,x13422)+E(f687(x13423,x13424,x13421,x13425),f687(x13423,x13424,x13422,x13425)) % 197.39/197.44 [1343]~E(x13431,x13432)+E(f687(x13433,x13434,x13435,x13431),f687(x13433,x13434,x13435,x13432)) % 197.39/197.44 [1344]~E(x13441,x13442)+E(f474(x13441,x13443,x13444),f474(x13442,x13443,x13444)) % 197.39/197.44 [1345]~E(x13451,x13452)+E(f474(x13453,x13451,x13454),f474(x13453,x13452,x13454)) % 197.39/197.44 [1346]~E(x13461,x13462)+E(f474(x13463,x13464,x13461),f474(x13463,x13464,x13462)) % 197.39/197.44 [1347]~E(x13471,x13472)+E(f305(x13471,x13473,x13474),f305(x13472,x13473,x13474)) % 197.39/197.44 [1348]~E(x13481,x13482)+E(f305(x13483,x13481,x13484),f305(x13483,x13482,x13484)) % 197.39/197.44 [1349]~E(x13491,x13492)+E(f305(x13493,x13494,x13491),f305(x13493,x13494,x13492)) % 197.39/197.44 [1350]~E(x13501,x13502)+E(f691(x13501,x13503,x13504),f691(x13502,x13503,x13504)) % 197.39/197.44 [1351]~E(x13511,x13512)+E(f691(x13513,x13511,x13514),f691(x13513,x13512,x13514)) % 197.39/197.44 [1352]~E(x13521,x13522)+E(f691(x13523,x13524,x13521),f691(x13523,x13524,x13522)) % 197.39/197.44 [1353]~E(x13531,x13532)+E(f589(x13531,x13533,x13534,x13535,x13536),f589(x13532,x13533,x13534,x13535,x13536)) % 197.39/197.44 [1354]~E(x13541,x13542)+E(f589(x13543,x13541,x13544,x13545,x13546),f589(x13543,x13542,x13544,x13545,x13546)) % 197.39/197.44 [1355]~E(x13551,x13552)+E(f589(x13553,x13554,x13551,x13555,x13556),f589(x13553,x13554,x13552,x13555,x13556)) % 197.39/197.44 [1356]~E(x13561,x13562)+E(f589(x13563,x13564,x13565,x13561,x13566),f589(x13563,x13564,x13565,x13562,x13566)) % 197.39/197.44 [1357]~E(x13571,x13572)+E(f589(x13573,x13574,x13575,x13576,x13571),f589(x13573,x13574,x13575,x13576,x13572)) % 197.39/197.44 [1358]~E(x13581,x13582)+E(f502(x13581,x13583,x13584),f502(x13582,x13583,x13584)) % 197.39/197.44 [1359]~E(x13591,x13592)+E(f502(x13593,x13591,x13594),f502(x13593,x13592,x13594)) % 197.39/197.44 [1360]~E(x13601,x13602)+E(f502(x13603,x13604,x13601),f502(x13603,x13604,x13602)) % 197.39/197.44 [1361]~E(x13611,x13612)+E(f674(x13611,x13613,x13614),f674(x13612,x13613,x13614)) % 197.39/197.44 [1362]~E(x13621,x13622)+E(f674(x13623,x13621,x13624),f674(x13623,x13622,x13624)) % 197.39/197.44 [1363]~E(x13631,x13632)+E(f674(x13633,x13634,x13631),f674(x13633,x13634,x13632)) % 197.39/197.44 [1364]~E(x13641,x13642)+E(f689(x13641,x13643,x13644,x13645),f689(x13642,x13643,x13644,x13645)) % 197.39/197.44 [1365]~E(x13651,x13652)+E(f689(x13653,x13651,x13654,x13655),f689(x13653,x13652,x13654,x13655)) % 197.39/197.44 [1366]~E(x13661,x13662)+E(f689(x13663,x13664,x13661,x13665),f689(x13663,x13664,x13662,x13665)) % 197.39/197.44 [1367]~E(x13671,x13672)+E(f689(x13673,x13674,x13675,x13671),f689(x13673,x13674,x13675,x13672)) % 197.39/197.44 [1368]~E(x13681,x13682)+E(f634(x13681,x13683,x13684,x13685,x13686,x13687),f634(x13682,x13683,x13684,x13685,x13686,x13687)) % 197.39/197.44 [1369]~E(x13691,x13692)+E(f634(x13693,x13691,x13694,x13695,x13696,x13697),f634(x13693,x13692,x13694,x13695,x13696,x13697)) % 197.39/197.44 [1370]~E(x13701,x13702)+E(f634(x13703,x13704,x13701,x13705,x13706,x13707),f634(x13703,x13704,x13702,x13705,x13706,x13707)) % 197.39/197.44 [1371]~E(x13711,x13712)+E(f634(x13713,x13714,x13715,x13711,x13716,x13717),f634(x13713,x13714,x13715,x13712,x13716,x13717)) % 197.39/197.44 [1372]~E(x13721,x13722)+E(f634(x13723,x13724,x13725,x13726,x13721,x13727),f634(x13723,x13724,x13725,x13726,x13722,x13727)) % 197.39/197.44 [1373]~E(x13731,x13732)+E(f634(x13733,x13734,x13735,x13736,x13737,x13731),f634(x13733,x13734,x13735,x13736,x13737,x13732)) % 197.39/197.44 [1374]~E(x13741,x13742)+E(f221(x13741,x13743),f221(x13742,x13743)) % 197.39/197.44 [1375]~E(x13751,x13752)+E(f221(x13753,x13751),f221(x13753,x13752)) % 197.39/197.44 [1376]~E(x13761,x13762)+E(f783(x13761,x13763,x13764),f783(x13762,x13763,x13764)) % 197.39/197.44 [1377]~E(x13771,x13772)+E(f783(x13773,x13771,x13774),f783(x13773,x13772,x13774)) % 197.39/197.44 [1378]~E(x13781,x13782)+E(f783(x13783,x13784,x13781),f783(x13783,x13784,x13782)) % 197.39/197.44 [1379]~E(x13791,x13792)+E(f624(x13791,x13793,x13794,x13795,x13796,x13797),f624(x13792,x13793,x13794,x13795,x13796,x13797)) % 197.39/197.44 [1380]~E(x13801,x13802)+E(f624(x13803,x13801,x13804,x13805,x13806,x13807),f624(x13803,x13802,x13804,x13805,x13806,x13807)) % 197.39/197.44 [1381]~E(x13811,x13812)+E(f624(x13813,x13814,x13811,x13815,x13816,x13817),f624(x13813,x13814,x13812,x13815,x13816,x13817)) % 197.39/197.44 [1382]~E(x13821,x13822)+E(f624(x13823,x13824,x13825,x13821,x13826,x13827),f624(x13823,x13824,x13825,x13822,x13826,x13827)) % 197.39/197.44 [1383]~E(x13831,x13832)+E(f624(x13833,x13834,x13835,x13836,x13831,x13837),f624(x13833,x13834,x13835,x13836,x13832,x13837)) % 197.39/197.44 [1384]~E(x13841,x13842)+E(f624(x13843,x13844,x13845,x13846,x13847,x13841),f624(x13843,x13844,x13845,x13846,x13847,x13842)) % 197.39/197.44 [1385]~E(x13851,x13852)+E(f782(x13851,x13853,x13854,x13855),f782(x13852,x13853,x13854,x13855)) % 197.39/197.44 [1386]~E(x13861,x13862)+E(f782(x13863,x13861,x13864,x13865),f782(x13863,x13862,x13864,x13865)) % 197.39/197.44 [1387]~E(x13871,x13872)+E(f782(x13873,x13874,x13871,x13875),f782(x13873,x13874,x13872,x13875)) % 197.39/197.44 [1388]~E(x13881,x13882)+E(f782(x13883,x13884,x13885,x13881),f782(x13883,x13884,x13885,x13882)) % 197.39/197.44 [1389]~E(x13891,x13892)+E(f531(x13891,x13893,x13894,x13895),f531(x13892,x13893,x13894,x13895)) % 197.39/197.44 [1390]~E(x13901,x13902)+E(f531(x13903,x13901,x13904,x13905),f531(x13903,x13902,x13904,x13905)) % 197.39/197.44 [1391]~E(x13911,x13912)+E(f531(x13913,x13914,x13911,x13915),f531(x13913,x13914,x13912,x13915)) % 197.39/197.44 [1392]~E(x13921,x13922)+E(f531(x13923,x13924,x13925,x13921),f531(x13923,x13924,x13925,x13922)) % 197.39/197.44 [1393]~E(x13931,x13932)+E(f797(x13931,x13933,x13934),f797(x13932,x13933,x13934)) % 197.39/197.44 [1394]~E(x13941,x13942)+E(f797(x13943,x13941,x13944),f797(x13943,x13942,x13944)) % 197.39/197.44 [1395]~E(x13951,x13952)+E(f797(x13953,x13954,x13951),f797(x13953,x13954,x13952)) % 197.39/197.44 [1396]~E(x13961,x13962)+E(f835(x13961,x13963,x13964,x13965),f835(x13962,x13963,x13964,x13965)) % 197.39/197.44 [1397]~E(x13971,x13972)+E(f835(x13973,x13971,x13974,x13975),f835(x13973,x13972,x13974,x13975)) % 197.39/197.44 [1398]~E(x13981,x13982)+E(f835(x13983,x13984,x13981,x13985),f835(x13983,x13984,x13982,x13985)) % 197.39/197.44 [1399]~E(x13991,x13992)+E(f835(x13993,x13994,x13995,x13991),f835(x13993,x13994,x13995,x13992)) % 197.39/197.44 [1400]~E(x14001,x14002)+E(f370(x14001,x14003,x14004),f370(x14002,x14003,x14004)) % 197.39/197.44 [1401]~E(x14011,x14012)+E(f370(x14013,x14011,x14014),f370(x14013,x14012,x14014)) % 197.39/197.44 [1402]~E(x14021,x14022)+E(f370(x14023,x14024,x14021),f370(x14023,x14024,x14022)) % 197.39/197.44 [1403]~E(x14031,x14032)+E(f851(x14031,x14033,x14034),f851(x14032,x14033,x14034)) % 197.39/197.44 [1404]~E(x14041,x14042)+E(f851(x14043,x14041,x14044),f851(x14043,x14042,x14044)) % 197.39/197.44 [1405]~E(x14051,x14052)+E(f851(x14053,x14054,x14051),f851(x14053,x14054,x14052)) % 197.39/197.44 [1406]~E(x14061,x14062)+E(f764(x14061,x14063,x14064,x14065),f764(x14062,x14063,x14064,x14065)) % 197.39/197.44 [1407]~E(x14071,x14072)+E(f764(x14073,x14071,x14074,x14075),f764(x14073,x14072,x14074,x14075)) % 197.39/197.44 [1408]~E(x14081,x14082)+E(f764(x14083,x14084,x14081,x14085),f764(x14083,x14084,x14082,x14085)) % 197.39/197.44 [1409]~E(x14091,x14092)+E(f764(x14093,x14094,x14095,x14091),f764(x14093,x14094,x14095,x14092)) % 197.39/197.44 [1410]~E(x14101,x14102)+E(f355(x14101,x14103,x14104),f355(x14102,x14103,x14104)) % 197.39/197.44 [1411]~E(x14111,x14112)+E(f355(x14113,x14111,x14114),f355(x14113,x14112,x14114)) % 197.39/197.44 [1412]~E(x14121,x14122)+E(f355(x14123,x14124,x14121),f355(x14123,x14124,x14122)) % 197.39/197.44 [1413]~E(x14131,x14132)+E(f717(x14131,x14133,x14134,x14135,x14136),f717(x14132,x14133,x14134,x14135,x14136)) % 197.39/197.44 [1414]~E(x14141,x14142)+E(f717(x14143,x14141,x14144,x14145,x14146),f717(x14143,x14142,x14144,x14145,x14146)) % 197.39/197.44 [1415]~E(x14151,x14152)+E(f717(x14153,x14154,x14151,x14155,x14156),f717(x14153,x14154,x14152,x14155,x14156)) % 197.39/197.44 [1416]~E(x14161,x14162)+E(f717(x14163,x14164,x14165,x14161,x14166),f717(x14163,x14164,x14165,x14162,x14166)) % 197.39/197.44 [1417]~E(x14171,x14172)+E(f717(x14173,x14174,x14175,x14176,x14171),f717(x14173,x14174,x14175,x14176,x14172)) % 197.39/197.44 [1418]~E(x14181,x14182)+E(f278(x14181,x14183,x14184,x14185),f278(x14182,x14183,x14184,x14185)) % 197.39/197.44 [1419]~E(x14191,x14192)+E(f278(x14193,x14191,x14194,x14195),f278(x14193,x14192,x14194,x14195)) % 197.39/197.44 [1420]~E(x14201,x14202)+E(f278(x14203,x14204,x14201,x14205),f278(x14203,x14204,x14202,x14205)) % 197.39/197.44 [1421]~E(x14211,x14212)+E(f278(x14213,x14214,x14215,x14211),f278(x14213,x14214,x14215,x14212)) % 197.39/197.44 [1422]~E(x14221,x14222)+E(f751(x14221),f751(x14222)) % 197.39/197.44 [1423]~E(x14231,x14232)+E(f815(x14231,x14233,x14234,x14235,x14236,x14237,x14238,x14239),f815(x14232,x14233,x14234,x14235,x14236,x14237,x14238,x14239)) % 197.39/197.44 [1424]~E(x14241,x14242)+E(f815(x14243,x14241,x14244,x14245,x14246,x14247,x14248,x14249),f815(x14243,x14242,x14244,x14245,x14246,x14247,x14248,x14249)) % 197.39/197.44 [1425]~E(x14251,x14252)+E(f815(x14253,x14254,x14251,x14255,x14256,x14257,x14258,x14259),f815(x14253,x14254,x14252,x14255,x14256,x14257,x14258,x14259)) % 197.39/197.44 [1426]~E(x14261,x14262)+E(f815(x14263,x14264,x14265,x14261,x14266,x14267,x14268,x14269),f815(x14263,x14264,x14265,x14262,x14266,x14267,x14268,x14269)) % 197.39/197.44 [1427]~E(x14271,x14272)+E(f815(x14273,x14274,x14275,x14276,x14271,x14277,x14278,x14279),f815(x14273,x14274,x14275,x14276,x14272,x14277,x14278,x14279)) % 197.39/197.44 [1428]~E(x14281,x14282)+E(f815(x14283,x14284,x14285,x14286,x14287,x14281,x14288,x14289),f815(x14283,x14284,x14285,x14286,x14287,x14282,x14288,x14289)) % 197.39/197.44 [1429]~E(x14291,x14292)+E(f815(x14293,x14294,x14295,x14296,x14297,x14298,x14291,x14299),f815(x14293,x14294,x14295,x14296,x14297,x14298,x14292,x14299)) % 197.39/197.44 [1430]~E(x14301,x14302)+E(f815(x14303,x14304,x14305,x14306,x14307,x14308,x14309,x14301),f815(x14303,x14304,x14305,x14306,x14307,x14308,x14309,x14302)) % 197.39/197.44 [1431]~E(x14311,x14312)+E(f524(x14311,x14313,x14314),f524(x14312,x14313,x14314)) % 197.39/197.44 [1432]~E(x14321,x14322)+E(f524(x14323,x14321,x14324),f524(x14323,x14322,x14324)) % 197.39/197.44 [1433]~E(x14331,x14332)+E(f524(x14333,x14334,x14331),f524(x14333,x14334,x14332)) % 197.39/197.44 [1434]~E(x14341,x14342)+E(f391(x14341,x14343,x14344),f391(x14342,x14343,x14344)) % 197.39/197.44 [1435]~E(x14351,x14352)+E(f391(x14353,x14351,x14354),f391(x14353,x14352,x14354)) % 197.39/197.44 [1436]~E(x14361,x14362)+E(f391(x14363,x14364,x14361),f391(x14363,x14364,x14362)) % 197.39/197.44 [1437]~E(x14371,x14372)+E(f778(x14371,x14373,x14374,x14375),f778(x14372,x14373,x14374,x14375)) % 197.39/197.44 [1438]~E(x14381,x14382)+E(f778(x14383,x14381,x14384,x14385),f778(x14383,x14382,x14384,x14385)) % 197.39/197.44 [1439]~E(x14391,x14392)+E(f778(x14393,x14394,x14391,x14395),f778(x14393,x14394,x14392,x14395)) % 197.39/197.44 [1440]~E(x14401,x14402)+E(f778(x14403,x14404,x14405,x14401),f778(x14403,x14404,x14405,x14402)) % 197.39/197.44 [1441]~E(x14411,x14412)+E(f677(x14411,x14413,x14414),f677(x14412,x14413,x14414)) % 197.39/197.44 [1442]~E(x14421,x14422)+E(f677(x14423,x14421,x14424),f677(x14423,x14422,x14424)) % 197.39/197.44 [1443]~E(x14431,x14432)+E(f677(x14433,x14434,x14431),f677(x14433,x14434,x14432)) % 197.39/197.44 [1444]~E(x14441,x14442)+E(f693(x14441,x14443,x14444,x14445),f693(x14442,x14443,x14444,x14445)) % 197.39/197.44 [1445]~E(x14451,x14452)+E(f693(x14453,x14451,x14454,x14455),f693(x14453,x14452,x14454,x14455)) % 197.39/197.45 [1446]~E(x14461,x14462)+E(f693(x14463,x14464,x14461,x14465),f693(x14463,x14464,x14462,x14465)) % 197.39/197.45 [1447]~E(x14471,x14472)+E(f693(x14473,x14474,x14475,x14471),f693(x14473,x14474,x14475,x14472)) % 197.39/197.45 [1448]~E(x14481,x14482)+E(f453(x14481,x14483,x14484),f453(x14482,x14483,x14484)) % 197.39/197.45 [1449]~E(x14491,x14492)+E(f453(x14493,x14491,x14494),f453(x14493,x14492,x14494)) % 197.39/197.45 [1450]~E(x14501,x14502)+E(f453(x14503,x14504,x14501),f453(x14503,x14504,x14502)) % 197.39/197.45 [1451]~E(x14511,x14512)+E(f686(x14511,x14513,x14514,x14515),f686(x14512,x14513,x14514,x14515)) % 197.39/197.45 [1452]~E(x14521,x14522)+E(f686(x14523,x14521,x14524,x14525),f686(x14523,x14522,x14524,x14525)) % 197.39/197.45 [1453]~E(x14531,x14532)+E(f686(x14533,x14534,x14531,x14535),f686(x14533,x14534,x14532,x14535)) % 197.39/197.45 [1454]~E(x14541,x14542)+E(f686(x14543,x14544,x14545,x14541),f686(x14543,x14544,x14545,x14542)) % 197.39/197.45 [1455]~E(x14551,x14552)+E(f410(x14551,x14553,x14554,x14555,x14556,x14557,x14558,x14559),f410(x14552,x14553,x14554,x14555,x14556,x14557,x14558,x14559)) % 197.39/197.45 [1456]~E(x14561,x14562)+E(f410(x14563,x14561,x14564,x14565,x14566,x14567,x14568,x14569),f410(x14563,x14562,x14564,x14565,x14566,x14567,x14568,x14569)) % 197.39/197.45 [1457]~E(x14571,x14572)+E(f410(x14573,x14574,x14571,x14575,x14576,x14577,x14578,x14579),f410(x14573,x14574,x14572,x14575,x14576,x14577,x14578,x14579)) % 197.39/197.45 [1458]~E(x14581,x14582)+E(f410(x14583,x14584,x14585,x14581,x14586,x14587,x14588,x14589),f410(x14583,x14584,x14585,x14582,x14586,x14587,x14588,x14589)) % 197.39/197.45 [1459]~E(x14591,x14592)+E(f410(x14593,x14594,x14595,x14596,x14591,x14597,x14598,x14599),f410(x14593,x14594,x14595,x14596,x14592,x14597,x14598,x14599)) % 197.39/197.45 [1460]~E(x14601,x14602)+E(f410(x14603,x14604,x14605,x14606,x14607,x14601,x14608,x14609),f410(x14603,x14604,x14605,x14606,x14607,x14602,x14608,x14609)) % 197.39/197.45 [1461]~E(x14611,x14612)+E(f410(x14613,x14614,x14615,x14616,x14617,x14618,x14611,x14619),f410(x14613,x14614,x14615,x14616,x14617,x14618,x14612,x14619)) % 197.39/197.45 [1462]~E(x14621,x14622)+E(f410(x14623,x14624,x14625,x14626,x14627,x14628,x14629,x14621),f410(x14623,x14624,x14625,x14626,x14627,x14628,x14629,x14622)) % 197.39/197.45 [1463]~E(x14631,x14632)+E(f752(x14631,x14633),f752(x14632,x14633)) % 197.39/197.45 [1464]~E(x14641,x14642)+E(f752(x14643,x14641),f752(x14643,x14642)) % 197.39/197.45 [1465]~E(x14651,x14652)+E(f776(x14651,x14653),f776(x14652,x14653)) % 197.39/197.45 [1466]~E(x14661,x14662)+E(f776(x14663,x14661),f776(x14663,x14662)) % 197.39/197.45 [1467]~E(x14671,x14672)+E(f542(x14671,x14673),f542(x14672,x14673)) % 197.39/197.45 [1468]~E(x14681,x14682)+E(f542(x14683,x14681),f542(x14683,x14682)) % 197.39/197.45 [1469]~E(x14691,x14692)+E(f280(x14691,x14693),f280(x14692,x14693)) % 197.39/197.45 [1470]~E(x14701,x14702)+E(f280(x14703,x14701),f280(x14703,x14702)) % 197.39/197.45 [1471]~E(x14711,x14712)+E(f110(x14711,x14713,x14714,x14715),f110(x14712,x14713,x14714,x14715)) % 197.39/197.45 [1472]~E(x14721,x14722)+E(f110(x14723,x14721,x14724,x14725),f110(x14723,x14722,x14724,x14725)) % 197.39/197.45 [1473]~E(x14731,x14732)+E(f110(x14733,x14734,x14731,x14735),f110(x14733,x14734,x14732,x14735)) % 197.39/197.45 [1474]~E(x14741,x14742)+E(f110(x14743,x14744,x14745,x14741),f110(x14743,x14744,x14745,x14742)) % 197.39/197.45 [1475]~E(x14751,x14752)+E(f803(x14751,x14753,x14754),f803(x14752,x14753,x14754)) % 197.39/197.45 [1476]~E(x14761,x14762)+E(f803(x14763,x14761,x14764),f803(x14763,x14762,x14764)) % 197.39/197.45 [1477]~E(x14771,x14772)+E(f803(x14773,x14774,x14771),f803(x14773,x14774,x14772)) % 197.39/197.45 [1478]~E(x14781,x14782)+E(f578(x14781,x14783),f578(x14782,x14783)) % 197.39/197.45 [1479]~E(x14791,x14792)+E(f578(x14793,x14791),f578(x14793,x14792)) % 197.39/197.45 [1480]~E(x14801,x14802)+E(f712(x14801,x14803,x14804,x14805),f712(x14802,x14803,x14804,x14805)) % 197.39/197.45 [1481]~E(x14811,x14812)+E(f712(x14813,x14811,x14814,x14815),f712(x14813,x14812,x14814,x14815)) % 197.39/197.45 [1482]~E(x14821,x14822)+E(f712(x14823,x14824,x14821,x14825),f712(x14823,x14824,x14822,x14825)) % 197.39/197.45 [1483]~E(x14831,x14832)+E(f712(x14833,x14834,x14835,x14831),f712(x14833,x14834,x14835,x14832)) % 197.39/197.45 [1484]~E(x14841,x14842)+E(f692(x14841,x14843,x14844,x14845),f692(x14842,x14843,x14844,x14845)) % 197.39/197.45 [1485]~E(x14851,x14852)+E(f692(x14853,x14851,x14854,x14855),f692(x14853,x14852,x14854,x14855)) % 197.39/197.45 [1486]~E(x14861,x14862)+E(f692(x14863,x14864,x14861,x14865),f692(x14863,x14864,x14862,x14865)) % 197.39/197.45 [1487]~E(x14871,x14872)+E(f692(x14873,x14874,x14875,x14871),f692(x14873,x14874,x14875,x14872)) % 197.39/197.45 [1488]~E(x14881,x14882)+E(f532(x14881,x14883,x14884,x14885),f532(x14882,x14883,x14884,x14885)) % 197.39/197.45 [1489]~E(x14891,x14892)+E(f532(x14893,x14891,x14894,x14895),f532(x14893,x14892,x14894,x14895)) % 197.39/197.45 [1490]~E(x14901,x14902)+E(f532(x14903,x14904,x14901,x14905),f532(x14903,x14904,x14902,x14905)) % 197.39/197.45 [1491]~E(x14911,x14912)+E(f532(x14913,x14914,x14915,x14911),f532(x14913,x14914,x14915,x14912)) % 197.39/197.45 [1492]~E(x14921,x14922)+E(f549(x14921,x14923),f549(x14922,x14923)) % 197.39/197.45 [1493]~E(x14931,x14932)+E(f549(x14933,x14931),f549(x14933,x14932)) % 197.39/197.45 [1494]~E(x14941,x14942)+E(f386(x14941,x14943,x14944,x14945),f386(x14942,x14943,x14944,x14945)) % 197.39/197.45 [1495]~E(x14951,x14952)+E(f386(x14953,x14951,x14954,x14955),f386(x14953,x14952,x14954,x14955)) % 197.39/197.45 [1496]~E(x14961,x14962)+E(f386(x14963,x14964,x14961,x14965),f386(x14963,x14964,x14962,x14965)) % 197.39/197.45 [1497]~E(x14971,x14972)+E(f386(x14973,x14974,x14975,x14971),f386(x14973,x14974,x14975,x14972)) % 197.39/197.45 [1498]~E(x14981,x14982)+E(f529(x14981,x14983,x14984),f529(x14982,x14983,x14984)) % 197.39/197.45 [1499]~E(x14991,x14992)+E(f529(x14993,x14991,x14994),f529(x14993,x14992,x14994)) % 197.39/197.45 [1500]~E(x15001,x15002)+E(f529(x15003,x15004,x15001),f529(x15003,x15004,x15002)) % 197.39/197.45 [1501]~E(x15011,x15012)+E(f232(x15011,x15013,x15014),f232(x15012,x15013,x15014)) % 197.39/197.45 [1502]~E(x15021,x15022)+E(f232(x15023,x15021,x15024),f232(x15023,x15022,x15024)) % 197.39/197.45 [1503]~E(x15031,x15032)+E(f232(x15033,x15034,x15031),f232(x15033,x15034,x15032)) % 197.39/197.45 [1504]~E(x15041,x15042)+E(f675(x15041,x15043),f675(x15042,x15043)) % 197.39/197.45 [1505]~E(x15051,x15052)+E(f675(x15053,x15051),f675(x15053,x15052)) % 197.39/197.45 [1506]~E(x15061,x15062)+E(f593(x15061,x15063,x15064,x15065,x15066),f593(x15062,x15063,x15064,x15065,x15066)) % 197.39/197.45 [1507]~E(x15071,x15072)+E(f593(x15073,x15071,x15074,x15075,x15076),f593(x15073,x15072,x15074,x15075,x15076)) % 197.39/197.45 [1508]~E(x15081,x15082)+E(f593(x15083,x15084,x15081,x15085,x15086),f593(x15083,x15084,x15082,x15085,x15086)) % 197.39/197.45 [1509]~E(x15091,x15092)+E(f593(x15093,x15094,x15095,x15091,x15096),f593(x15093,x15094,x15095,x15092,x15096)) % 197.39/197.45 [1510]~E(x15101,x15102)+E(f593(x15103,x15104,x15105,x15106,x15101),f593(x15103,x15104,x15105,x15106,x15102)) % 197.39/197.45 [1511]~E(x15111,x15112)+E(f132(x15111,x15113,x15114),f132(x15112,x15113,x15114)) % 197.39/197.45 [1512]~E(x15121,x15122)+E(f132(x15123,x15121,x15124),f132(x15123,x15122,x15124)) % 197.39/197.45 [1513]~E(x15131,x15132)+E(f132(x15133,x15134,x15131),f132(x15133,x15134,x15132)) % 197.39/197.45 [1514]~E(x15141,x15142)+E(f554(x15141,x15143,x15144),f554(x15142,x15143,x15144)) % 197.39/197.45 [1515]~E(x15151,x15152)+E(f554(x15153,x15151,x15154),f554(x15153,x15152,x15154)) % 197.39/197.45 [1516]~E(x15161,x15162)+E(f554(x15163,x15164,x15161),f554(x15163,x15164,x15162)) % 197.39/197.45 [1517]~E(x15171,x15172)+E(f620(x15171,x15173,x15174,x15175,x15176,x15177),f620(x15172,x15173,x15174,x15175,x15176,x15177)) % 197.39/197.45 [1518]~E(x15181,x15182)+E(f620(x15183,x15181,x15184,x15185,x15186,x15187),f620(x15183,x15182,x15184,x15185,x15186,x15187)) % 197.39/197.45 [1519]~E(x15191,x15192)+E(f620(x15193,x15194,x15191,x15195,x15196,x15197),f620(x15193,x15194,x15192,x15195,x15196,x15197)) % 197.39/197.45 [1520]~E(x15201,x15202)+E(f620(x15203,x15204,x15205,x15201,x15206,x15207),f620(x15203,x15204,x15205,x15202,x15206,x15207)) % 197.39/197.45 [1521]~E(x15211,x15212)+E(f620(x15213,x15214,x15215,x15216,x15211,x15217),f620(x15213,x15214,x15215,x15216,x15212,x15217)) % 197.39/197.45 [1522]~E(x15221,x15222)+E(f620(x15223,x15224,x15225,x15226,x15227,x15221),f620(x15223,x15224,x15225,x15226,x15227,x15222)) % 197.39/197.45 [1523]~E(x15231,x15232)+E(f756(x15231,x15233,x15234),f756(x15232,x15233,x15234)) % 197.39/197.45 [1524]~E(x15241,x15242)+E(f756(x15243,x15241,x15244),f756(x15243,x15242,x15244)) % 197.39/197.45 [1525]~E(x15251,x15252)+E(f756(x15253,x15254,x15251),f756(x15253,x15254,x15252)) % 197.39/197.45 [1526]~E(x15261,x15262)+E(f472(x15261,x15263),f472(x15262,x15263)) % 197.39/197.45 [1527]~E(x15271,x15272)+E(f472(x15273,x15271),f472(x15273,x15272)) % 197.39/197.45 [1528]~E(x15281,x15282)+E(f596(x15281,x15283,x15284,x15285,x15286),f596(x15282,x15283,x15284,x15285,x15286)) % 197.39/197.45 [1529]~E(x15291,x15292)+E(f596(x15293,x15291,x15294,x15295,x15296),f596(x15293,x15292,x15294,x15295,x15296)) % 197.39/197.45 [1530]~E(x15301,x15302)+E(f596(x15303,x15304,x15301,x15305,x15306),f596(x15303,x15304,x15302,x15305,x15306)) % 197.39/197.45 [1531]~E(x15311,x15312)+E(f596(x15313,x15314,x15315,x15311,x15316),f596(x15313,x15314,x15315,x15312,x15316)) % 197.39/197.45 [1532]~E(x15321,x15322)+E(f596(x15323,x15324,x15325,x15326,x15321),f596(x15323,x15324,x15325,x15326,x15322)) % 197.39/197.45 [1533]~E(x15331,x15332)+E(f729(x15331,x15333,x15334),f729(x15332,x15333,x15334)) % 197.39/197.45 [1534]~E(x15341,x15342)+E(f729(x15343,x15341,x15344),f729(x15343,x15342,x15344)) % 197.39/197.45 [1535]~E(x15351,x15352)+E(f729(x15353,x15354,x15351),f729(x15353,x15354,x15352)) % 197.39/197.45 [1536]~E(x15361,x15362)+E(f595(x15361,x15363,x15364,x15365,x15366),f595(x15362,x15363,x15364,x15365,x15366)) % 197.39/197.45 [1537]~E(x15371,x15372)+E(f595(x15373,x15371,x15374,x15375,x15376),f595(x15373,x15372,x15374,x15375,x15376)) % 197.39/197.45 [1538]~E(x15381,x15382)+E(f595(x15383,x15384,x15381,x15385,x15386),f595(x15383,x15384,x15382,x15385,x15386)) % 197.39/197.45 [1539]~E(x15391,x15392)+E(f595(x15393,x15394,x15395,x15391,x15396),f595(x15393,x15394,x15395,x15392,x15396)) % 197.39/197.45 [1540]~E(x15401,x15402)+E(f595(x15403,x15404,x15405,x15406,x15401),f595(x15403,x15404,x15405,x15406,x15402)) % 197.39/197.45 [1541]~E(x15411,x15412)+E(f430(x15411,x15413,x15414),f430(x15412,x15413,x15414)) % 197.39/197.45 [1542]~E(x15421,x15422)+E(f430(x15423,x15421,x15424),f430(x15423,x15422,x15424)) % 197.39/197.45 [1543]~E(x15431,x15432)+E(f430(x15433,x15434,x15431),f430(x15433,x15434,x15432)) % 197.39/197.45 [1544]~E(x15441,x15442)+E(f485(x15441,x15443,x15444,x15445),f485(x15442,x15443,x15444,x15445)) % 197.39/197.45 [1545]~E(x15451,x15452)+E(f485(x15453,x15451,x15454,x15455),f485(x15453,x15452,x15454,x15455)) % 197.39/197.45 [1546]~E(x15461,x15462)+E(f485(x15463,x15464,x15461,x15465),f485(x15463,x15464,x15462,x15465)) % 197.39/197.45 [1547]~E(x15471,x15472)+E(f485(x15473,x15474,x15475,x15471),f485(x15473,x15474,x15475,x15472)) % 197.39/197.45 [1548]~E(x15481,x15482)+E(f758(x15481,x15483,x15484),f758(x15482,x15483,x15484)) % 197.39/197.45 [1549]~E(x15491,x15492)+E(f758(x15493,x15491,x15494),f758(x15493,x15492,x15494)) % 197.39/197.45 [1550]~E(x15501,x15502)+E(f758(x15503,x15504,x15501),f758(x15503,x15504,x15502)) % 197.39/197.45 [1551]~E(x15511,x15512)+E(f462(x15511,x15513,x15514,x15515),f462(x15512,x15513,x15514,x15515)) % 197.39/197.45 [1552]~E(x15521,x15522)+E(f462(x15523,x15521,x15524,x15525),f462(x15523,x15522,x15524,x15525)) % 197.39/197.45 [1553]~E(x15531,x15532)+E(f462(x15533,x15534,x15531,x15535),f462(x15533,x15534,x15532,x15535)) % 197.39/197.45 [1554]~E(x15541,x15542)+E(f462(x15543,x15544,x15545,x15541),f462(x15543,x15544,x15545,x15542)) % 197.39/197.45 [1555]~E(x15551,x15552)+E(f202(x15551,x15553,x15554,x15555),f202(x15552,x15553,x15554,x15555)) % 197.39/197.45 [1556]~E(x15561,x15562)+E(f202(x15563,x15561,x15564,x15565),f202(x15563,x15562,x15564,x15565)) % 197.39/197.45 [1557]~E(x15571,x15572)+E(f202(x15573,x15574,x15571,x15575),f202(x15573,x15574,x15572,x15575)) % 197.39/197.45 [1558]~E(x15581,x15582)+E(f202(x15583,x15584,x15585,x15581),f202(x15583,x15584,x15585,x15582)) % 197.39/197.45 [1559]~E(x15591,x15592)+E(f207(x15591),f207(x15592)) % 197.39/197.45 [1560]~E(x15601,x15602)+E(f809(x15601,x15603,x15604,x15605),f809(x15602,x15603,x15604,x15605)) % 197.39/197.45 [1561]~E(x15611,x15612)+E(f809(x15613,x15611,x15614,x15615),f809(x15613,x15612,x15614,x15615)) % 197.39/197.45 [1562]~E(x15621,x15622)+E(f809(x15623,x15624,x15621,x15625),f809(x15623,x15624,x15622,x15625)) % 197.39/197.45 [1563]~E(x15631,x15632)+E(f809(x15633,x15634,x15635,x15631),f809(x15633,x15634,x15635,x15632)) % 197.39/197.45 [1564]~E(x15641,x15642)+E(f672(x15641,x15643,x15644),f672(x15642,x15643,x15644)) % 197.39/197.45 [1565]~E(x15651,x15652)+E(f672(x15653,x15651,x15654),f672(x15653,x15652,x15654)) % 197.39/197.45 [1566]~E(x15661,x15662)+E(f672(x15663,x15664,x15661),f672(x15663,x15664,x15662)) % 197.39/197.45 [1567]~E(x15671,x15672)+E(f808(x15671,x15673,x15674,x15675),f808(x15672,x15673,x15674,x15675)) % 197.39/197.45 [1568]~E(x15681,x15682)+E(f808(x15683,x15681,x15684,x15685),f808(x15683,x15682,x15684,x15685)) % 197.39/197.45 [1569]~E(x15691,x15692)+E(f808(x15693,x15694,x15691,x15695),f808(x15693,x15694,x15692,x15695)) % 197.39/197.45 [1570]~E(x15701,x15702)+E(f808(x15703,x15704,x15705,x15701),f808(x15703,x15704,x15705,x15702)) % 197.39/197.45 [1571]~E(x15711,x15712)+E(f656(x15711,x15713),f656(x15712,x15713)) % 197.39/197.45 [1572]~E(x15721,x15722)+E(f656(x15723,x15721),f656(x15723,x15722)) % 197.39/197.45 [1573]~E(x15731,x15732)+E(f343(x15731,x15733,x15734),f343(x15732,x15733,x15734)) % 197.39/197.45 [1574]~E(x15741,x15742)+E(f343(x15743,x15741,x15744),f343(x15743,x15742,x15744)) % 197.39/197.45 [1575]~E(x15751,x15752)+E(f343(x15753,x15754,x15751),f343(x15753,x15754,x15752)) % 197.39/197.45 [1576]~E(x15761,x15762)+E(f860(x15761,x15763,x15764),f860(x15762,x15763,x15764)) % 197.39/197.45 [1577]~E(x15771,x15772)+E(f860(x15773,x15771,x15774),f860(x15773,x15772,x15774)) % 197.39/197.45 [1578]~E(x15781,x15782)+E(f860(x15783,x15784,x15781),f860(x15783,x15784,x15782)) % 197.39/197.45 [1579]~E(x15791,x15792)+E(f479(x15791,x15793,x15794,x15795,x15796),f479(x15792,x15793,x15794,x15795,x15796)) % 197.39/197.45 [1580]~E(x15801,x15802)+E(f479(x15803,x15801,x15804,x15805,x15806),f479(x15803,x15802,x15804,x15805,x15806)) % 197.39/197.45 [1581]~E(x15811,x15812)+E(f479(x15813,x15814,x15811,x15815,x15816),f479(x15813,x15814,x15812,x15815,x15816)) % 197.39/197.45 [1582]~E(x15821,x15822)+E(f479(x15823,x15824,x15825,x15821,x15826),f479(x15823,x15824,x15825,x15822,x15826)) % 197.39/197.45 [1583]~E(x15831,x15832)+E(f479(x15833,x15834,x15835,x15836,x15831),f479(x15833,x15834,x15835,x15836,x15832)) % 197.39/197.45 [1584]~E(x15841,x15842)+E(f847(x15841,x15843),f847(x15842,x15843)) % 197.39/197.45 [1585]~E(x15851,x15852)+E(f847(x15853,x15851),f847(x15853,x15852)) % 197.39/197.45 [1586]~E(x15861,x15862)+E(f481(x15861,x15863,x15864,x15865,x15866),f481(x15862,x15863,x15864,x15865,x15866)) % 197.39/197.45 [1587]~E(x15871,x15872)+E(f481(x15873,x15871,x15874,x15875,x15876),f481(x15873,x15872,x15874,x15875,x15876)) % 197.39/197.45 [1588]~E(x15881,x15882)+E(f481(x15883,x15884,x15881,x15885,x15886),f481(x15883,x15884,x15882,x15885,x15886)) % 197.39/197.45 [1589]~E(x15891,x15892)+E(f481(x15893,x15894,x15895,x15891,x15896),f481(x15893,x15894,x15895,x15892,x15896)) % 197.39/197.45 [1590]~E(x15901,x15902)+E(f481(x15903,x15904,x15905,x15906,x15901),f481(x15903,x15904,x15905,x15906,x15902)) % 197.39/197.45 [1591]~E(x15911,x15912)+E(f853(x15911,x15913,x15914,x15915,x15916,x15917,x15918,x15919),f853(x15912,x15913,x15914,x15915,x15916,x15917,x15918,x15919)) % 197.39/197.45 [1592]~E(x15921,x15922)+E(f853(x15923,x15921,x15924,x15925,x15926,x15927,x15928,x15929),f853(x15923,x15922,x15924,x15925,x15926,x15927,x15928,x15929)) % 197.39/197.45 [1593]~E(x15931,x15932)+E(f853(x15933,x15934,x15931,x15935,x15936,x15937,x15938,x15939),f853(x15933,x15934,x15932,x15935,x15936,x15937,x15938,x15939)) % 197.39/197.45 [1594]~E(x15941,x15942)+E(f853(x15943,x15944,x15945,x15941,x15946,x15947,x15948,x15949),f853(x15943,x15944,x15945,x15942,x15946,x15947,x15948,x15949)) % 197.39/197.45 [1595]~E(x15951,x15952)+E(f853(x15953,x15954,x15955,x15956,x15951,x15957,x15958,x15959),f853(x15953,x15954,x15955,x15956,x15952,x15957,x15958,x15959)) % 197.39/197.45 [1596]~E(x15961,x15962)+E(f853(x15963,x15964,x15965,x15966,x15967,x15961,x15968,x15969),f853(x15963,x15964,x15965,x15966,x15967,x15962,x15968,x15969)) % 197.39/197.45 [1597]~E(x15971,x15972)+E(f853(x15973,x15974,x15975,x15976,x15977,x15978,x15971,x15979),f853(x15973,x15974,x15975,x15976,x15977,x15978,x15972,x15979)) % 197.39/197.45 [1598]~E(x15981,x15982)+E(f853(x15983,x15984,x15985,x15986,x15987,x15988,x15989,x15981),f853(x15983,x15984,x15985,x15986,x15987,x15988,x15989,x15982)) % 197.39/197.45 [1599]~E(x15991,x15992)+E(f771(x15991,x15993,x15994),f771(x15992,x15993,x15994)) % 197.39/197.45 [1600]~E(x16001,x16002)+E(f771(x16003,x16001,x16004),f771(x16003,x16002,x16004)) % 197.39/197.45 [1601]~E(x16011,x16012)+E(f771(x16013,x16014,x16011),f771(x16013,x16014,x16012)) % 197.39/197.45 [1602]~E(x16021,x16022)+E(f708(x16021,x16023,x16024,x16025),f708(x16022,x16023,x16024,x16025)) % 197.39/197.45 [1603]~E(x16031,x16032)+E(f708(x16033,x16031,x16034,x16035),f708(x16033,x16032,x16034,x16035)) % 197.39/197.45 [1604]~E(x16041,x16042)+E(f708(x16043,x16044,x16041,x16045),f708(x16043,x16044,x16042,x16045)) % 197.39/197.45 [1605]~E(x16051,x16052)+E(f708(x16053,x16054,x16055,x16051),f708(x16053,x16054,x16055,x16052)) % 197.39/197.45 [1606]~E(x16061,x16062)+E(f447(x16061,x16063),f447(x16062,x16063)) % 197.39/197.45 [1607]~E(x16071,x16072)+E(f447(x16073,x16071),f447(x16073,x16072)) % 197.39/197.45 [1608]~E(x16081,x16082)+E(f188(x16081,x16083,x16084),f188(x16082,x16083,x16084)) % 197.39/197.45 [1609]~E(x16091,x16092)+E(f188(x16093,x16091,x16094),f188(x16093,x16092,x16094)) % 197.39/197.45 [1610]~E(x16101,x16102)+E(f188(x16103,x16104,x16101),f188(x16103,x16104,x16102)) % 197.39/197.45 [1611]~E(x16111,x16112)+E(f519(x16111,x16113,x16114),f519(x16112,x16113,x16114)) % 197.39/197.45 [1612]~E(x16121,x16122)+E(f519(x16123,x16121,x16124),f519(x16123,x16122,x16124)) % 197.39/197.45 [1613]~E(x16131,x16132)+E(f519(x16133,x16134,x16131),f519(x16133,x16134,x16132)) % 197.39/197.45 [1614]~E(x16141,x16142)+E(f390(x16141,x16143,x16144,x16145,x16146),f390(x16142,x16143,x16144,x16145,x16146)) % 197.39/197.45 [1615]~E(x16151,x16152)+E(f390(x16153,x16151,x16154,x16155,x16156),f390(x16153,x16152,x16154,x16155,x16156)) % 197.39/197.45 [1616]~E(x16161,x16162)+E(f390(x16163,x16164,x16161,x16165,x16166),f390(x16163,x16164,x16162,x16165,x16166)) % 197.39/197.45 [1617]~E(x16171,x16172)+E(f390(x16173,x16174,x16175,x16171,x16176),f390(x16173,x16174,x16175,x16172,x16176)) % 197.39/197.45 [1618]~E(x16181,x16182)+E(f390(x16183,x16184,x16185,x16186,x16181),f390(x16183,x16184,x16185,x16186,x16182)) % 197.39/197.45 [1619]~E(x16191,x16192)+E(f841(x16191),f841(x16192)) % 197.39/197.45 [1620]~E(x16201,x16202)+E(f668(x16201,x16203,x16204),f668(x16202,x16203,x16204)) % 197.39/197.45 [1621]~E(x16211,x16212)+E(f668(x16213,x16211,x16214),f668(x16213,x16212,x16214)) % 197.39/197.45 [1622]~E(x16221,x16222)+E(f668(x16223,x16224,x16221),f668(x16223,x16224,x16222)) % 197.39/197.45 [1623]~E(x16231,x16232)+E(f592(x16231,x16233,x16234,x16235,x16236),f592(x16232,x16233,x16234,x16235,x16236)) % 197.39/197.45 [1624]~E(x16241,x16242)+E(f592(x16243,x16241,x16244,x16245,x16246),f592(x16243,x16242,x16244,x16245,x16246)) % 197.39/197.45 [1625]~E(x16251,x16252)+E(f592(x16253,x16254,x16251,x16255,x16256),f592(x16253,x16254,x16252,x16255,x16256)) % 197.39/197.45 [1626]~E(x16261,x16262)+E(f592(x16263,x16264,x16265,x16261,x16266),f592(x16263,x16264,x16265,x16262,x16266)) % 197.39/197.45 [1627]~E(x16271,x16272)+E(f592(x16273,x16274,x16275,x16276,x16271),f592(x16273,x16274,x16275,x16276,x16272)) % 197.39/197.45 [1628]~E(x16281,x16282)+E(f302(x16281,x16283,x16284),f302(x16282,x16283,x16284)) % 197.39/197.45 [1629]~E(x16291,x16292)+E(f302(x16293,x16291,x16294),f302(x16293,x16292,x16294)) % 197.39/197.45 [1630]~E(x16301,x16302)+E(f302(x16303,x16304,x16301),f302(x16303,x16304,x16302)) % 197.39/197.45 [1631]~E(x16311,x16312)+E(f436(x16311,x16313,x16314,x16315,x16316,x16317),f436(x16312,x16313,x16314,x16315,x16316,x16317)) % 197.39/197.45 [1632]~E(x16321,x16322)+E(f436(x16323,x16321,x16324,x16325,x16326,x16327),f436(x16323,x16322,x16324,x16325,x16326,x16327)) % 197.39/197.45 [1633]~E(x16331,x16332)+E(f436(x16333,x16334,x16331,x16335,x16336,x16337),f436(x16333,x16334,x16332,x16335,x16336,x16337)) % 197.39/197.45 [1634]~E(x16341,x16342)+E(f436(x16343,x16344,x16345,x16341,x16346,x16347),f436(x16343,x16344,x16345,x16342,x16346,x16347)) % 197.39/197.45 [1635]~E(x16351,x16352)+E(f436(x16353,x16354,x16355,x16356,x16351,x16357),f436(x16353,x16354,x16355,x16356,x16352,x16357)) % 197.39/197.45 [1636]~E(x16361,x16362)+E(f436(x16363,x16364,x16365,x16366,x16367,x16361),f436(x16363,x16364,x16365,x16366,x16367,x16362)) % 197.39/197.45 [1637]~E(x16371,x16372)+E(f652(x16371,x16373),f652(x16372,x16373)) % 197.39/197.45 [1638]~E(x16381,x16382)+E(f652(x16383,x16381),f652(x16383,x16382)) % 197.39/197.45 [1639]~E(x16391,x16392)+E(f710(x16391,x16393,x16394,x16395),f710(x16392,x16393,x16394,x16395)) % 197.39/197.45 [1640]~E(x16401,x16402)+E(f710(x16403,x16401,x16404,x16405),f710(x16403,x16402,x16404,x16405)) % 197.39/197.45 [1641]~E(x16411,x16412)+E(f710(x16413,x16414,x16411,x16415),f710(x16413,x16414,x16412,x16415)) % 197.39/197.45 [1642]~E(x16421,x16422)+E(f710(x16423,x16424,x16425,x16421),f710(x16423,x16424,x16425,x16422)) % 197.39/197.45 [1643]~E(x16431,x16432)+E(f571(x16431,x16433,x16434),f571(x16432,x16433,x16434)) % 197.39/197.45 [1644]~E(x16441,x16442)+E(f571(x16443,x16441,x16444),f571(x16443,x16442,x16444)) % 197.39/197.45 [1645]~E(x16451,x16452)+E(f571(x16453,x16454,x16451),f571(x16453,x16454,x16452)) % 197.39/197.45 [1646]~E(x16461,x16462)+E(f813(x16461,x16463,x16464,x16465,x16466),f813(x16462,x16463,x16464,x16465,x16466)) % 197.39/197.45 [1647]~E(x16471,x16472)+E(f813(x16473,x16471,x16474,x16475,x16476),f813(x16473,x16472,x16474,x16475,x16476)) % 197.39/197.45 [1648]~E(x16481,x16482)+E(f813(x16483,x16484,x16481,x16485,x16486),f813(x16483,x16484,x16482,x16485,x16486)) % 197.39/197.45 [1649]~E(x16491,x16492)+E(f813(x16493,x16494,x16495,x16491,x16496),f813(x16493,x16494,x16495,x16492,x16496)) % 197.39/197.45 [1650]~E(x16501,x16502)+E(f813(x16503,x16504,x16505,x16506,x16501),f813(x16503,x16504,x16505,x16506,x16502)) % 197.39/197.45 [1651]~E(x16511,x16512)+E(f454(x16511,x16513,x16514,x16515),f454(x16512,x16513,x16514,x16515)) % 197.39/197.45 [1652]~E(x16521,x16522)+E(f454(x16523,x16521,x16524,x16525),f454(x16523,x16522,x16524,x16525)) % 197.39/197.45 [1653]~E(x16531,x16532)+E(f454(x16533,x16534,x16531,x16535),f454(x16533,x16534,x16532,x16535)) % 197.39/197.45 [1654]~E(x16541,x16542)+E(f454(x16543,x16544,x16545,x16541),f454(x16543,x16544,x16545,x16542)) % 197.39/197.45 [1655]~E(x16551,x16552)+E(f491(x16551,x16553,x16554,x16555),f491(x16552,x16553,x16554,x16555)) % 197.39/197.45 [1656]~E(x16561,x16562)+E(f491(x16563,x16561,x16564,x16565),f491(x16563,x16562,x16564,x16565)) % 197.39/197.45 [1657]~E(x16571,x16572)+E(f491(x16573,x16574,x16571,x16575),f491(x16573,x16574,x16572,x16575)) % 197.39/197.45 [1658]~E(x16581,x16582)+E(f491(x16583,x16584,x16585,x16581),f491(x16583,x16584,x16585,x16582)) % 197.39/197.45 [1659]~E(x16591,x16592)+E(f359(x16591,x16593,x16594),f359(x16592,x16593,x16594)) % 197.39/197.45 [1660]~E(x16601,x16602)+E(f359(x16603,x16601,x16604),f359(x16603,x16602,x16604)) % 197.39/197.45 [1661]~E(x16611,x16612)+E(f359(x16613,x16614,x16611),f359(x16613,x16614,x16612)) % 197.39/197.45 [1662]~E(x16621,x16622)+E(f288(x16621),f288(x16622)) % 197.39/197.45 [1663]~E(x16631,x16632)+E(f392(x16631,x16633,x16634,x16635,x16636),f392(x16632,x16633,x16634,x16635,x16636)) % 197.39/197.45 [1664]~E(x16641,x16642)+E(f392(x16643,x16641,x16644,x16645,x16646),f392(x16643,x16642,x16644,x16645,x16646)) % 197.39/197.45 [1665]~E(x16651,x16652)+E(f392(x16653,x16654,x16651,x16655,x16656),f392(x16653,x16654,x16652,x16655,x16656)) % 197.39/197.45 [1666]~E(x16661,x16662)+E(f392(x16663,x16664,x16665,x16661,x16666),f392(x16663,x16664,x16665,x16662,x16666)) % 197.39/197.45 [1667]~E(x16671,x16672)+E(f392(x16673,x16674,x16675,x16676,x16671),f392(x16673,x16674,x16675,x16676,x16672)) % 197.39/197.45 [1668]~E(x16681,x16682)+E(f755(x16681,x16683,x16684),f755(x16682,x16683,x16684)) % 197.39/197.45 [1669]~E(x16691,x16692)+E(f755(x16693,x16691,x16694),f755(x16693,x16692,x16694)) % 197.39/197.45 [1670]~E(x16701,x16702)+E(f755(x16703,x16704,x16701),f755(x16703,x16704,x16702)) % 197.39/197.45 [1671]~E(x16711,x16712)+E(f327(x16711,x16713,x16714,x16715,x16716),f327(x16712,x16713,x16714,x16715,x16716)) % 197.39/197.45 [1672]~E(x16721,x16722)+E(f327(x16723,x16721,x16724,x16725,x16726),f327(x16723,x16722,x16724,x16725,x16726)) % 197.39/197.45 [1673]~E(x16731,x16732)+E(f327(x16733,x16734,x16731,x16735,x16736),f327(x16733,x16734,x16732,x16735,x16736)) % 197.39/197.45 [1674]~E(x16741,x16742)+E(f327(x16743,x16744,x16745,x16741,x16746),f327(x16743,x16744,x16745,x16742,x16746)) % 197.39/197.45 [1675]~E(x16751,x16752)+E(f327(x16753,x16754,x16755,x16756,x16751),f327(x16753,x16754,x16755,x16756,x16752)) % 197.39/197.45 [1676]~E(x16761,x16762)+E(f521(x16761,x16763,x16764),f521(x16762,x16763,x16764)) % 197.39/197.45 [1677]~E(x16771,x16772)+E(f521(x16773,x16771,x16774),f521(x16773,x16772,x16774)) % 197.39/197.45 [1678]~E(x16781,x16782)+E(f521(x16783,x16784,x16781),f521(x16783,x16784,x16782)) % 197.39/197.45 [1679]~E(x16791,x16792)+E(f572(x16791,x16793,x16794,x16795),f572(x16792,x16793,x16794,x16795)) % 197.39/197.45 [1680]~E(x16801,x16802)+E(f572(x16803,x16801,x16804,x16805),f572(x16803,x16802,x16804,x16805)) % 197.39/197.45 [1681]~E(x16811,x16812)+E(f572(x16813,x16814,x16811,x16815),f572(x16813,x16814,x16812,x16815)) % 197.39/197.45 [1682]~E(x16821,x16822)+E(f572(x16823,x16824,x16825,x16821),f572(x16823,x16824,x16825,x16822)) % 197.39/197.45 [1683]~E(x16831,x16832)+E(f743(x16831,x16833,x16834),f743(x16832,x16833,x16834)) % 197.39/197.45 [1684]~E(x16841,x16842)+E(f743(x16843,x16841,x16844),f743(x16843,x16842,x16844)) % 197.39/197.45 [1685]~E(x16851,x16852)+E(f743(x16853,x16854,x16851),f743(x16853,x16854,x16852)) % 197.39/197.45 [1686]~E(x16861,x16862)+E(f684(x16861,x16863),f684(x16862,x16863)) % 197.39/197.45 [1687]~E(x16871,x16872)+E(f684(x16873,x16871),f684(x16873,x16872)) % 197.39/197.45 [1688]~E(x16881,x16882)+E(f52(x16881,x16883,x16884),f52(x16882,x16883,x16884)) % 197.39/197.45 [1689]~E(x16891,x16892)+E(f52(x16893,x16891,x16894),f52(x16893,x16892,x16894)) % 197.39/197.45 [1690]~E(x16901,x16902)+E(f52(x16903,x16904,x16901),f52(x16903,x16904,x16902)) % 197.39/197.45 [1691]~E(x16911,x16912)+E(f382(x16911,x16913,x16914),f382(x16912,x16913,x16914)) % 197.39/197.45 [1692]~E(x16921,x16922)+E(f382(x16923,x16921,x16924),f382(x16923,x16922,x16924)) % 197.39/197.45 [1693]~E(x16931,x16932)+E(f382(x16933,x16934,x16931),f382(x16933,x16934,x16932)) % 197.39/197.45 [1694]~E(x16941,x16942)+E(f792(x16941,x16943,x16944,x16945,x16946,x16947,x16948),f792(x16942,x16943,x16944,x16945,x16946,x16947,x16948)) % 197.39/197.45 [1695]~E(x16951,x16952)+E(f792(x16953,x16951,x16954,x16955,x16956,x16957,x16958),f792(x16953,x16952,x16954,x16955,x16956,x16957,x16958)) % 197.39/197.45 [1696]~E(x16961,x16962)+E(f792(x16963,x16964,x16961,x16965,x16966,x16967,x16968),f792(x16963,x16964,x16962,x16965,x16966,x16967,x16968)) % 197.39/197.45 [1697]~E(x16971,x16972)+E(f792(x16973,x16974,x16975,x16971,x16976,x16977,x16978),f792(x16973,x16974,x16975,x16972,x16976,x16977,x16978)) % 197.39/197.45 [1698]~E(x16981,x16982)+E(f792(x16983,x16984,x16985,x16986,x16981,x16987,x16988),f792(x16983,x16984,x16985,x16986,x16982,x16987,x16988)) % 197.39/197.45 [1699]~E(x16991,x16992)+E(f792(x16993,x16994,x16995,x16996,x16997,x16991,x16998),f792(x16993,x16994,x16995,x16996,x16997,x16992,x16998)) % 197.39/197.45 [1700]~E(x17001,x17002)+E(f792(x17003,x17004,x17005,x17006,x17007,x17008,x17001),f792(x17003,x17004,x17005,x17006,x17007,x17008,x17002)) % 197.39/197.45 [1701]~E(x17011,x17012)+E(f663(x17011,x17013),f663(x17012,x17013)) % 197.39/197.45 [1702]~E(x17021,x17022)+E(f663(x17023,x17021),f663(x17023,x17022)) % 197.39/197.45 [1703]~E(x17031,x17032)+E(f565(x17031,x17033,x17034,x17035),f565(x17032,x17033,x17034,x17035)) % 197.39/197.45 [1704]~E(x17041,x17042)+E(f565(x17043,x17041,x17044,x17045),f565(x17043,x17042,x17044,x17045)) % 197.39/197.45 [1705]~E(x17051,x17052)+E(f565(x17053,x17054,x17051,x17055),f565(x17053,x17054,x17052,x17055)) % 197.39/197.45 [1706]~E(x17061,x17062)+E(f565(x17063,x17064,x17065,x17061),f565(x17063,x17064,x17065,x17062)) % 197.39/197.45 [1707]~E(x17071,x17072)+E(f667(x17071,x17073),f667(x17072,x17073)) % 197.39/197.45 [1708]~E(x17081,x17082)+E(f667(x17083,x17081),f667(x17083,x17082)) % 197.39/197.45 [1709]~E(x17091,x17092)+E(f633(x17091,x17093,x17094,x17095,x17096),f633(x17092,x17093,x17094,x17095,x17096)) % 197.39/197.45 [1710]~E(x17101,x17102)+E(f633(x17103,x17101,x17104,x17105,x17106),f633(x17103,x17102,x17104,x17105,x17106)) % 197.39/197.45 [1711]~E(x17111,x17112)+E(f633(x17113,x17114,x17111,x17115,x17116),f633(x17113,x17114,x17112,x17115,x17116)) % 197.39/197.45 [1712]~E(x17121,x17122)+E(f633(x17123,x17124,x17125,x17121,x17126),f633(x17123,x17124,x17125,x17122,x17126)) % 197.39/197.45 [1713]~E(x17131,x17132)+E(f633(x17133,x17134,x17135,x17136,x17131),f633(x17133,x17134,x17135,x17136,x17132)) % 197.39/197.45 [1714]~E(x17141,x17142)+E(f788(x17141,x17143,x17144),f788(x17142,x17143,x17144)) % 197.39/197.45 [1715]~E(x17151,x17152)+E(f788(x17153,x17151,x17154),f788(x17153,x17152,x17154)) % 197.39/197.45 [1716]~E(x17161,x17162)+E(f788(x17163,x17164,x17161),f788(x17163,x17164,x17162)) % 197.39/197.45 [1717]~E(x17171,x17172)+E(f863(x17171,x17173,x17174),f863(x17172,x17173,x17174)) % 197.39/197.45 [1718]~E(x17181,x17182)+E(f863(x17183,x17181,x17184),f863(x17183,x17182,x17184)) % 197.39/197.45 [1719]~E(x17191,x17192)+E(f863(x17193,x17194,x17191),f863(x17193,x17194,x17192)) % 197.39/197.45 [1720]~E(x17201,x17202)+E(f415(x17201),f415(x17202)) % 197.39/197.45 [1721]~E(x17211,x17212)+E(f511(x17211,x17213),f511(x17212,x17213)) % 197.39/197.45 [1722]~E(x17221,x17222)+E(f511(x17223,x17221),f511(x17223,x17222)) % 197.39/197.45 [1723]~E(x17231,x17232)+E(f482(x17231,x17233),f482(x17232,x17233)) % 197.39/197.45 [1724]~E(x17241,x17242)+E(f482(x17243,x17241),f482(x17243,x17242)) % 197.39/197.45 [1725]~E(x17251,x17252)+E(f635(x17251,x17253,x17254,x17255,x17256),f635(x17252,x17253,x17254,x17255,x17256)) % 197.39/197.45 [1726]~E(x17261,x17262)+E(f635(x17263,x17261,x17264,x17265,x17266),f635(x17263,x17262,x17264,x17265,x17266)) % 197.39/197.45 [1727]~E(x17271,x17272)+E(f635(x17273,x17274,x17271,x17275,x17276),f635(x17273,x17274,x17272,x17275,x17276)) % 197.39/197.45 [1728]~E(x17281,x17282)+E(f635(x17283,x17284,x17285,x17281,x17286),f635(x17283,x17284,x17285,x17282,x17286)) % 197.39/197.45 [1729]~E(x17291,x17292)+E(f635(x17293,x17294,x17295,x17296,x17291),f635(x17293,x17294,x17295,x17296,x17292)) % 197.39/197.45 [1730]~E(x17301,x17302)+E(f826(x17301,x17303,x17304,x17305,x17306),f826(x17302,x17303,x17304,x17305,x17306)) % 197.39/197.45 [1731]~E(x17311,x17312)+E(f826(x17313,x17311,x17314,x17315,x17316),f826(x17313,x17312,x17314,x17315,x17316)) % 197.39/197.45 [1732]~E(x17321,x17322)+E(f826(x17323,x17324,x17321,x17325,x17326),f826(x17323,x17324,x17322,x17325,x17326)) % 197.39/197.45 [1733]~E(x17331,x17332)+E(f826(x17333,x17334,x17335,x17331,x17336),f826(x17333,x17334,x17335,x17332,x17336)) % 197.39/197.45 [1734]~E(x17341,x17342)+E(f826(x17343,x17344,x17345,x17346,x17341),f826(x17343,x17344,x17345,x17346,x17342)) % 197.39/197.45 [1735]~E(x17351,x17352)+E(f688(x17351,x17353,x17354,x17355),f688(x17352,x17353,x17354,x17355)) % 197.39/197.45 [1736]~E(x17361,x17362)+E(f688(x17363,x17361,x17364,x17365),f688(x17363,x17362,x17364,x17365)) % 197.39/197.45 [1737]~E(x17371,x17372)+E(f688(x17373,x17374,x17371,x17375),f688(x17373,x17374,x17372,x17375)) % 197.39/197.45 [1738]~E(x17381,x17382)+E(f688(x17383,x17384,x17385,x17381),f688(x17383,x17384,x17385,x17382)) % 197.39/197.45 [1739]~E(x17391,x17392)+E(f457(x17391,x17393,x17394,x17395),f457(x17392,x17393,x17394,x17395)) % 197.39/197.45 [1740]~E(x17401,x17402)+E(f457(x17403,x17401,x17404,x17405),f457(x17403,x17402,x17404,x17405)) % 197.39/197.45 [1741]~E(x17411,x17412)+E(f457(x17413,x17414,x17411,x17415),f457(x17413,x17414,x17412,x17415)) % 197.39/197.45 [1742]~E(x17421,x17422)+E(f457(x17423,x17424,x17425,x17421),f457(x17423,x17424,x17425,x17422)) % 197.39/197.45 [1743]~E(x17431,x17432)+E(f225(x17431,x17433),f225(x17432,x17433)) % 197.39/197.45 [1744]~E(x17441,x17442)+E(f225(x17443,x17441),f225(x17443,x17442)) % 197.39/197.45 [1745]~E(x17451,x17452)+E(f55(x17451,x17453,x17454,x17455,x17456),f55(x17452,x17453,x17454,x17455,x17456)) % 197.39/197.45 [1746]~E(x17461,x17462)+E(f55(x17463,x17461,x17464,x17465,x17466),f55(x17463,x17462,x17464,x17465,x17466)) % 197.39/197.45 [1747]~E(x17471,x17472)+E(f55(x17473,x17474,x17471,x17475,x17476),f55(x17473,x17474,x17472,x17475,x17476)) % 197.39/197.45 [1748]~E(x17481,x17482)+E(f55(x17483,x17484,x17485,x17481,x17486),f55(x17483,x17484,x17485,x17482,x17486)) % 197.39/197.45 [1749]~E(x17491,x17492)+E(f55(x17493,x17494,x17495,x17496,x17491),f55(x17493,x17494,x17495,x17496,x17492)) % 197.39/197.45 [1750]~E(x17501,x17502)+E(f486(x17501,x17503,x17504,x17505,x17506),f486(x17502,x17503,x17504,x17505,x17506)) % 197.39/197.45 [1751]~E(x17511,x17512)+E(f486(x17513,x17511,x17514,x17515,x17516),f486(x17513,x17512,x17514,x17515,x17516)) % 197.39/197.45 [1752]~E(x17521,x17522)+E(f486(x17523,x17524,x17521,x17525,x17526),f486(x17523,x17524,x17522,x17525,x17526)) % 197.39/197.45 [1753]~E(x17531,x17532)+E(f486(x17533,x17534,x17535,x17531,x17536),f486(x17533,x17534,x17535,x17532,x17536)) % 197.39/197.45 [1754]~E(x17541,x17542)+E(f486(x17543,x17544,x17545,x17546,x17541),f486(x17543,x17544,x17545,x17546,x17542)) % 197.39/197.45 [1755]~E(x17551,x17552)+E(f594(x17551,x17553,x17554,x17555,x17556),f594(x17552,x17553,x17554,x17555,x17556)) % 197.39/197.45 [1756]~E(x17561,x17562)+E(f594(x17563,x17561,x17564,x17565,x17566),f594(x17563,x17562,x17564,x17565,x17566)) % 197.39/197.45 [1757]~E(x17571,x17572)+E(f594(x17573,x17574,x17571,x17575,x17576),f594(x17573,x17574,x17572,x17575,x17576)) % 197.39/197.45 [1758]~E(x17581,x17582)+E(f594(x17583,x17584,x17585,x17581,x17586),f594(x17583,x17584,x17585,x17582,x17586)) % 197.39/197.45 [1759]~E(x17591,x17592)+E(f594(x17593,x17594,x17595,x17596,x17591),f594(x17593,x17594,x17595,x17596,x17592)) % 197.39/197.45 [1760]~E(x17601,x17602)+E(f506(x17601,x17603,x17604,x17605),f506(x17602,x17603,x17604,x17605)) % 197.39/197.45 [1761]~E(x17611,x17612)+E(f506(x17613,x17611,x17614,x17615),f506(x17613,x17612,x17614,x17615)) % 197.39/197.45 [1762]~E(x17621,x17622)+E(f506(x17623,x17624,x17621,x17625),f506(x17623,x17624,x17622,x17625)) % 197.39/197.45 [1763]~E(x17631,x17632)+E(f506(x17633,x17634,x17635,x17631),f506(x17633,x17634,x17635,x17632)) % 197.39/197.45 [1764]~E(x17641,x17642)+E(f641(x17641,x17643),f641(x17642,x17643)) % 197.39/197.45 [1765]~E(x17651,x17652)+E(f641(x17653,x17651),f641(x17653,x17652)) % 197.39/197.45 [1766]~E(x17661,x17662)+E(f435(x17661,x17663,x17664,x17665),f435(x17662,x17663,x17664,x17665)) % 197.39/197.45 [1767]~E(x17671,x17672)+E(f435(x17673,x17671,x17674,x17675),f435(x17673,x17672,x17674,x17675)) % 197.39/197.45 [1768]~E(x17681,x17682)+E(f435(x17683,x17684,x17681,x17685),f435(x17683,x17684,x17682,x17685)) % 197.39/197.45 [1769]~E(x17691,x17692)+E(f435(x17693,x17694,x17695,x17691),f435(x17693,x17694,x17695,x17692)) % 197.39/197.45 [1770]~E(x17701,x17702)+E(f794(x17701,x17703,x17704),f794(x17702,x17703,x17704)) % 197.39/197.45 [1771]~E(x17711,x17712)+E(f794(x17713,x17711,x17714),f794(x17713,x17712,x17714)) % 197.39/197.45 [1772]~E(x17721,x17722)+E(f794(x17723,x17724,x17721),f794(x17723,x17724,x17722)) % 197.39/197.45 [1773]~E(x17731,x17732)+E(f753(x17731,x17733),f753(x17732,x17733)) % 197.39/197.45 [1774]~E(x17741,x17742)+E(f753(x17743,x17741),f753(x17743,x17742)) % 197.39/197.45 [1775]~E(x17751,x17752)+E(f437(x17751,x17753,x17754,x17755,x17756,x17757),f437(x17752,x17753,x17754,x17755,x17756,x17757)) % 197.39/197.45 [1776]~E(x17761,x17762)+E(f437(x17763,x17761,x17764,x17765,x17766,x17767),f437(x17763,x17762,x17764,x17765,x17766,x17767)) % 197.39/197.45 [1777]~E(x17771,x17772)+E(f437(x17773,x17774,x17771,x17775,x17776,x17777),f437(x17773,x17774,x17772,x17775,x17776,x17777)) % 197.39/197.45 [1778]~E(x17781,x17782)+E(f437(x17783,x17784,x17785,x17781,x17786,x17787),f437(x17783,x17784,x17785,x17782,x17786,x17787)) % 197.39/197.45 [1779]~E(x17791,x17792)+E(f437(x17793,x17794,x17795,x17796,x17791,x17797),f437(x17793,x17794,x17795,x17796,x17792,x17797)) % 197.39/197.45 [1780]~E(x17801,x17802)+E(f437(x17803,x17804,x17805,x17806,x17807,x17801),f437(x17803,x17804,x17805,x17806,x17807,x17802)) % 197.39/197.45 [1781]~E(x17811,x17812)+E(f653(x17811,x17813),f653(x17812,x17813)) % 197.39/197.45 [1782]~E(x17821,x17822)+E(f653(x17823,x17821),f653(x17823,x17822)) % 197.39/197.45 [1783]~E(x17831,x17832)+E(f713(x17831,x17833,x17834,x17835,x17836),f713(x17832,x17833,x17834,x17835,x17836)) % 197.39/197.45 [1784]~E(x17841,x17842)+E(f713(x17843,x17841,x17844,x17845,x17846),f713(x17843,x17842,x17844,x17845,x17846)) % 197.39/197.45 [1785]~E(x17851,x17852)+E(f713(x17853,x17854,x17851,x17855,x17856),f713(x17853,x17854,x17852,x17855,x17856)) % 197.39/197.45 [1786]~E(x17861,x17862)+E(f713(x17863,x17864,x17865,x17861,x17866),f713(x17863,x17864,x17865,x17862,x17866)) % 197.39/197.45 [1787]~E(x17871,x17872)+E(f713(x17873,x17874,x17875,x17876,x17871),f713(x17873,x17874,x17875,x17876,x17872)) % 197.39/197.45 [1788]~E(x17881,x17882)+E(f422(x17881,x17883,x17884,x17885),f422(x17882,x17883,x17884,x17885)) % 197.39/197.45 [1789]~E(x17891,x17892)+E(f422(x17893,x17891,x17894,x17895),f422(x17893,x17892,x17894,x17895)) % 197.39/197.45 [1790]~E(x17901,x17902)+E(f422(x17903,x17904,x17901,x17905),f422(x17903,x17904,x17902,x17905)) % 197.39/197.45 [1791]~E(x17911,x17912)+E(f422(x17913,x17914,x17915,x17911),f422(x17913,x17914,x17915,x17912)) % 197.39/197.45 [1792]~E(x17921,x17922)+E(f208(x17921),f208(x17922)) % 197.39/197.45 [1793]~E(x17931,x17932)+E(f547(x17931,x17933,x17934,x17935,x17936,x17937),f547(x17932,x17933,x17934,x17935,x17936,x17937)) % 197.39/197.45 [1794]~E(x17941,x17942)+E(f547(x17943,x17941,x17944,x17945,x17946,x17947),f547(x17943,x17942,x17944,x17945,x17946,x17947)) % 197.39/197.45 [1795]~E(x17951,x17952)+E(f547(x17953,x17954,x17951,x17955,x17956,x17957),f547(x17953,x17954,x17952,x17955,x17956,x17957)) % 197.39/197.45 [1796]~E(x17961,x17962)+E(f547(x17963,x17964,x17965,x17961,x17966,x17967),f547(x17963,x17964,x17965,x17962,x17966,x17967)) % 197.39/197.45 [1797]~E(x17971,x17972)+E(f547(x17973,x17974,x17975,x17976,x17971,x17977),f547(x17973,x17974,x17975,x17976,x17972,x17977)) % 197.39/197.45 [1798]~E(x17981,x17982)+E(f547(x17983,x17984,x17985,x17986,x17987,x17981),f547(x17983,x17984,x17985,x17986,x17987,x17982)) % 197.39/197.45 [1799]~E(x17991,x17992)+E(f862(x17991,x17993,x17994),f862(x17992,x17993,x17994)) % 197.39/197.45 [1800]~E(x18001,x18002)+E(f862(x18003,x18001,x18004),f862(x18003,x18002,x18004)) % 197.39/197.45 [1801]~E(x18011,x18012)+E(f862(x18013,x18014,x18011),f862(x18013,x18014,x18012)) % 197.39/197.45 [1802]~E(x18021,x18022)+E(f373(x18021,x18023,x18024,x18025,x18026),f373(x18022,x18023,x18024,x18025,x18026)) % 197.39/197.45 [1803]~E(x18031,x18032)+E(f373(x18033,x18031,x18034,x18035,x18036),f373(x18033,x18032,x18034,x18035,x18036)) % 197.39/197.45 [1804]~E(x18041,x18042)+E(f373(x18043,x18044,x18041,x18045,x18046),f373(x18043,x18044,x18042,x18045,x18046)) % 197.39/197.45 [1805]~E(x18051,x18052)+E(f373(x18053,x18054,x18055,x18051,x18056),f373(x18053,x18054,x18055,x18052,x18056)) % 197.39/197.45 [1806]~E(x18061,x18062)+E(f373(x18063,x18064,x18065,x18066,x18061),f373(x18063,x18064,x18065,x18066,x18062)) % 197.39/197.45 [1807]~E(x18071,x18072)+E(f838(x18071),f838(x18072)) % 197.39/197.45 [1808]~E(x18081,x18082)+E(f814(x18081,x18083,x18084,x18085,x18086),f814(x18082,x18083,x18084,x18085,x18086)) % 197.39/197.45 [1809]~E(x18091,x18092)+E(f814(x18093,x18091,x18094,x18095,x18096),f814(x18093,x18092,x18094,x18095,x18096)) % 197.39/197.45 [1810]~E(x18101,x18102)+E(f814(x18103,x18104,x18101,x18105,x18106),f814(x18103,x18104,x18102,x18105,x18106)) % 197.39/197.45 [1811]~E(x18111,x18112)+E(f814(x18113,x18114,x18115,x18111,x18116),f814(x18113,x18114,x18115,x18112,x18116)) % 197.39/197.45 [1812]~E(x18121,x18122)+E(f814(x18123,x18124,x18125,x18126,x18121),f814(x18123,x18124,x18125,x18126,x18122)) % 197.39/197.45 [1813]~E(x18131,x18132)+E(f570(x18131,x18133,x18134,x18135),f570(x18132,x18133,x18134,x18135)) % 197.39/197.45 [1814]~E(x18141,x18142)+E(f570(x18143,x18141,x18144,x18145),f570(x18143,x18142,x18144,x18145)) % 197.39/197.45 [1815]~E(x18151,x18152)+E(f570(x18153,x18154,x18151,x18155),f570(x18153,x18154,x18152,x18155)) % 197.39/197.45 [1816]~E(x18161,x18162)+E(f570(x18163,x18164,x18165,x18161),f570(x18163,x18164,x18165,x18162)) % 197.39/197.45 [1817]~E(x18171,x18172)+E(f737(x18171,x18173,x18174,x18175,x18176,x18177),f737(x18172,x18173,x18174,x18175,x18176,x18177)) % 197.39/197.45 [1818]~E(x18181,x18182)+E(f737(x18183,x18181,x18184,x18185,x18186,x18187),f737(x18183,x18182,x18184,x18185,x18186,x18187)) % 197.39/197.45 [1819]~E(x18191,x18192)+E(f737(x18193,x18194,x18191,x18195,x18196,x18197),f737(x18193,x18194,x18192,x18195,x18196,x18197)) % 197.39/197.45 [1820]~E(x18201,x18202)+E(f737(x18203,x18204,x18205,x18201,x18206,x18207),f737(x18203,x18204,x18205,x18202,x18206,x18207)) % 197.39/197.45 [1821]~E(x18211,x18212)+E(f737(x18213,x18214,x18215,x18216,x18211,x18217),f737(x18213,x18214,x18215,x18216,x18212,x18217)) % 197.39/197.45 [1822]~E(x18221,x18222)+E(f737(x18223,x18224,x18225,x18226,x18227,x18221),f737(x18223,x18224,x18225,x18226,x18227,x18222)) % 197.39/197.45 [1823]~E(x18231,x18232)+E(f628(x18231,x18233,x18234),f628(x18232,x18233,x18234)) % 197.39/197.45 [1824]~E(x18241,x18242)+E(f628(x18243,x18241,x18244),f628(x18243,x18242,x18244)) % 197.39/197.45 [1825]~E(x18251,x18252)+E(f628(x18253,x18254,x18251),f628(x18253,x18254,x18252)) % 197.39/197.45 [1826]~E(x18261,x18262)+E(f632(x18261,x18263,x18264,x18265,x18266),f632(x18262,x18263,x18264,x18265,x18266)) % 197.39/197.45 [1827]~E(x18271,x18272)+E(f632(x18273,x18271,x18274,x18275,x18276),f632(x18273,x18272,x18274,x18275,x18276)) % 197.39/197.45 [1828]~E(x18281,x18282)+E(f632(x18283,x18284,x18281,x18285,x18286),f632(x18283,x18284,x18282,x18285,x18286)) % 197.39/197.45 [1829]~E(x18291,x18292)+E(f632(x18293,x18294,x18295,x18291,x18296),f632(x18293,x18294,x18295,x18292,x18296)) % 197.39/197.45 [1830]~E(x18301,x18302)+E(f632(x18303,x18304,x18305,x18306,x18301),f632(x18303,x18304,x18305,x18306,x18302)) % 197.39/197.45 [1831]~E(x18311,x18312)+E(f636(x18311,x18313,x18314,x18315,x18316),f636(x18312,x18313,x18314,x18315,x18316)) % 197.39/197.45 [1832]~E(x18321,x18322)+E(f636(x18323,x18321,x18324,x18325,x18326),f636(x18323,x18322,x18324,x18325,x18326)) % 197.39/197.45 [1833]~E(x18331,x18332)+E(f636(x18333,x18334,x18331,x18335,x18336),f636(x18333,x18334,x18332,x18335,x18336)) % 197.39/197.45 [1834]~E(x18341,x18342)+E(f636(x18343,x18344,x18345,x18341,x18346),f636(x18343,x18344,x18345,x18342,x18346)) % 197.39/197.45 [1835]~E(x18351,x18352)+E(f636(x18353,x18354,x18355,x18356,x18351),f636(x18353,x18354,x18355,x18356,x18352)) % 197.39/197.45 [1836]~E(x18361,x18362)+E(f284(x18361,x18363,x18364),f284(x18362,x18363,x18364)) % 197.39/197.45 [1837]~E(x18371,x18372)+E(f284(x18373,x18371,x18374),f284(x18373,x18372,x18374)) % 197.39/197.45 [1838]~E(x18381,x18382)+E(f284(x18383,x18384,x18381),f284(x18383,x18384,x18382)) % 197.39/197.45 [1839]~E(x18391,x18392)+E(f699(x18391,x18393,x18394),f699(x18392,x18393,x18394)) % 197.39/197.45 [1840]~E(x18401,x18402)+E(f699(x18403,x18401,x18404),f699(x18403,x18402,x18404)) % 197.39/197.45 [1841]~E(x18411,x18412)+E(f699(x18413,x18414,x18411),f699(x18413,x18414,x18412)) % 197.39/197.45 [1842]~E(x18421,x18422)+E(f210(x18421),f210(x18422)) % 197.39/197.45 [1843]~E(x18431,x18432)+E(f598(x18431,x18433,x18434),f598(x18432,x18433,x18434)) % 197.39/197.45 [1844]~E(x18441,x18442)+E(f598(x18443,x18441,x18444),f598(x18443,x18442,x18444)) % 197.39/197.45 [1845]~E(x18451,x18452)+E(f598(x18453,x18454,x18451),f598(x18453,x18454,x18452)) % 197.39/197.45 [1846]~E(x18461,x18462)+E(f281(x18461,x18463),f281(x18462,x18463)) % 197.39/197.45 [1847]~E(x18471,x18472)+E(f281(x18473,x18471),f281(x18473,x18472)) % 197.39/197.45 [1848]~E(x18481,x18482)+E(f504(x18481,x18483,x18484,x18485),f504(x18482,x18483,x18484,x18485)) % 197.39/197.45 [1849]~E(x18491,x18492)+E(f504(x18493,x18491,x18494,x18495),f504(x18493,x18492,x18494,x18495)) % 197.39/197.45 [1850]~E(x18501,x18502)+E(f504(x18503,x18504,x18501,x18505),f504(x18503,x18504,x18502,x18505)) % 197.39/197.45 [1851]~E(x18511,x18512)+E(f504(x18513,x18514,x18515,x18511),f504(x18513,x18514,x18515,x18512)) % 197.39/197.45 [1852]~E(x18521,x18522)+E(f385(x18521,x18523),f385(x18522,x18523)) % 197.39/197.45 [1853]~E(x18531,x18532)+E(f385(x18533,x18531),f385(x18533,x18532)) % 197.39/197.45 [1854]~E(x18541,x18542)+E(f566(x18541,x18543,x18544,x18545),f566(x18542,x18543,x18544,x18545)) % 197.39/197.45 [1855]~E(x18551,x18552)+E(f566(x18553,x18551,x18554,x18555),f566(x18553,x18552,x18554,x18555)) % 197.39/197.45 [1856]~E(x18561,x18562)+E(f566(x18563,x18564,x18561,x18565),f566(x18563,x18564,x18562,x18565)) % 197.39/197.45 [1857]~E(x18571,x18572)+E(f566(x18573,x18574,x18575,x18571),f566(x18573,x18574,x18575,x18572)) % 197.39/197.45 [1858]~E(x18581,x18582)+E(f852(x18581,x18583,x18584),f852(x18582,x18583,x18584)) % 197.39/197.45 [1859]~E(x18591,x18592)+E(f852(x18593,x18591,x18594),f852(x18593,x18592,x18594)) % 197.39/197.45 [1860]~E(x18601,x18602)+E(f852(x18603,x18604,x18601),f852(x18603,x18604,x18602)) % 197.39/197.45 [1861]~E(x18611,x18612)+E(f520(x18611,x18613,x18614,x18615),f520(x18612,x18613,x18614,x18615)) % 197.39/197.45 [1862]~E(x18621,x18622)+E(f520(x18623,x18621,x18624,x18625),f520(x18623,x18622,x18624,x18625)) % 197.39/197.45 [1863]~E(x18631,x18632)+E(f520(x18633,x18634,x18631,x18635),f520(x18633,x18634,x18632,x18635)) % 197.39/197.45 [1864]~E(x18641,x18642)+E(f520(x18643,x18644,x18645,x18641),f520(x18643,x18644,x18645,x18642)) % 197.39/197.45 [1865]~E(x18651,x18652)+E(f770(x18651,x18653,x18654,x18655,x18656),f770(x18652,x18653,x18654,x18655,x18656)) % 197.39/197.45 [1866]~E(x18661,x18662)+E(f770(x18663,x18661,x18664,x18665,x18666),f770(x18663,x18662,x18664,x18665,x18666)) % 197.39/197.45 [1867]~E(x18671,x18672)+E(f770(x18673,x18674,x18671,x18675,x18676),f770(x18673,x18674,x18672,x18675,x18676)) % 197.39/197.45 [1868]~E(x18681,x18682)+E(f770(x18683,x18684,x18685,x18681,x18686),f770(x18683,x18684,x18685,x18682,x18686)) % 197.39/197.45 [1869]~E(x18691,x18692)+E(f770(x18693,x18694,x18695,x18696,x18691),f770(x18693,x18694,x18695,x18696,x18692)) % 197.39/197.45 [1870]~E(x18701,x18702)+E(f237(x18701,x18703,x18704),f237(x18702,x18703,x18704)) % 197.39/197.45 [1871]~E(x18711,x18712)+E(f237(x18713,x18711,x18714),f237(x18713,x18712,x18714)) % 197.39/197.45 [1872]~E(x18721,x18722)+E(f237(x18723,x18724,x18721),f237(x18723,x18724,x18722)) % 197.39/197.45 [1873]~E(x18731,x18732)+E(f631(x18731,x18733,x18734,x18735,x18736),f631(x18732,x18733,x18734,x18735,x18736)) % 197.39/197.45 [1874]~E(x18741,x18742)+E(f631(x18743,x18741,x18744,x18745,x18746),f631(x18743,x18742,x18744,x18745,x18746)) % 197.39/197.45 [1875]~E(x18751,x18752)+E(f631(x18753,x18754,x18751,x18755,x18756),f631(x18753,x18754,x18752,x18755,x18756)) % 197.39/197.45 [1876]~E(x18761,x18762)+E(f631(x18763,x18764,x18765,x18761,x18766),f631(x18763,x18764,x18765,x18762,x18766)) % 197.39/197.45 [1877]~E(x18771,x18772)+E(f631(x18773,x18774,x18775,x18776,x18771),f631(x18773,x18774,x18775,x18776,x18772)) % 197.39/197.45 [1878]~E(x18781,x18782)+E(f597(x18781,x18783,x18784,x18785,x18786),f597(x18782,x18783,x18784,x18785,x18786)) % 197.39/197.45 [1879]~E(x18791,x18792)+E(f597(x18793,x18791,x18794,x18795,x18796),f597(x18793,x18792,x18794,x18795,x18796)) % 197.39/197.45 [1880]~E(x18801,x18802)+E(f597(x18803,x18804,x18801,x18805,x18806),f597(x18803,x18804,x18802,x18805,x18806)) % 197.39/197.45 [1881]~E(x18811,x18812)+E(f597(x18813,x18814,x18815,x18811,x18816),f597(x18813,x18814,x18815,x18812,x18816)) % 197.39/197.45 [1882]~E(x18821,x18822)+E(f597(x18823,x18824,x18825,x18826,x18821),f597(x18823,x18824,x18825,x18826,x18822)) % 197.39/197.45 [1883]~E(x18831,x18832)+E(f494(x18831,x18833,x18834,x18835,x18836),f494(x18832,x18833,x18834,x18835,x18836)) % 197.39/197.45 [1884]~E(x18841,x18842)+E(f494(x18843,x18841,x18844,x18845,x18846),f494(x18843,x18842,x18844,x18845,x18846)) % 197.39/197.45 [1885]~E(x18851,x18852)+E(f494(x18853,x18854,x18851,x18855,x18856),f494(x18853,x18854,x18852,x18855,x18856)) % 197.39/197.45 [1886]~E(x18861,x18862)+E(f494(x18863,x18864,x18865,x18861,x18866),f494(x18863,x18864,x18865,x18862,x18866)) % 197.39/197.45 [1887]~E(x18871,x18872)+E(f494(x18873,x18874,x18875,x18876,x18871),f494(x18873,x18874,x18875,x18876,x18872)) % 197.39/197.45 [1888]~E(x18881,x18882)+E(f377(x18881,x18883,x18884,x18885,x18886,x18887),f377(x18882,x18883,x18884,x18885,x18886,x18887)) % 197.39/197.45 [1889]~E(x18891,x18892)+E(f377(x18893,x18891,x18894,x18895,x18896,x18897),f377(x18893,x18892,x18894,x18895,x18896,x18897)) % 197.39/197.45 [1890]~E(x18901,x18902)+E(f377(x18903,x18904,x18901,x18905,x18906,x18907),f377(x18903,x18904,x18902,x18905,x18906,x18907)) % 197.39/197.45 [1891]~E(x18911,x18912)+E(f377(x18913,x18914,x18915,x18911,x18916,x18917),f377(x18913,x18914,x18915,x18912,x18916,x18917)) % 197.39/197.45 [1892]~E(x18921,x18922)+E(f377(x18923,x18924,x18925,x18926,x18921,x18927),f377(x18923,x18924,x18925,x18926,x18922,x18927)) % 197.39/197.45 [1893]~E(x18931,x18932)+E(f377(x18933,x18934,x18935,x18936,x18937,x18931),f377(x18933,x18934,x18935,x18936,x18937,x18932)) % 197.39/197.45 [1894]~E(x18941,x18942)+E(f378(x18941,x18943,x18944,x18945,x18946,x18947),f378(x18942,x18943,x18944,x18945,x18946,x18947)) % 197.39/197.45 [1895]~E(x18951,x18952)+E(f378(x18953,x18951,x18954,x18955,x18956,x18957),f378(x18953,x18952,x18954,x18955,x18956,x18957)) % 197.39/197.45 [1896]~E(x18961,x18962)+E(f378(x18963,x18964,x18961,x18965,x18966,x18967),f378(x18963,x18964,x18962,x18965,x18966,x18967)) % 197.39/197.45 [1897]~E(x18971,x18972)+E(f378(x18973,x18974,x18975,x18971,x18976,x18977),f378(x18973,x18974,x18975,x18972,x18976,x18977)) % 197.39/197.45 [1898]~E(x18981,x18982)+E(f378(x18983,x18984,x18985,x18986,x18981,x18987),f378(x18983,x18984,x18985,x18986,x18982,x18987)) % 197.39/197.45 [1899]~E(x18991,x18992)+E(f378(x18993,x18994,x18995,x18996,x18997,x18991),f378(x18993,x18994,x18995,x18996,x18997,x18992)) % 197.39/197.45 [1900]~E(x19001,x19002)+E(f393(x19001,x19003),f393(x19002,x19003)) % 197.39/197.45 [1901]~E(x19011,x19012)+E(f393(x19013,x19011),f393(x19013,x19012)) % 197.39/197.45 [1902]~E(x19021,x19022)+E(f568(x19021,x19023,x19024,x19025),f568(x19022,x19023,x19024,x19025)) % 197.39/197.45 [1903]~E(x19031,x19032)+E(f568(x19033,x19031,x19034,x19035),f568(x19033,x19032,x19034,x19035)) % 197.39/197.45 [1904]~E(x19041,x19042)+E(f568(x19043,x19044,x19041,x19045),f568(x19043,x19044,x19042,x19045)) % 197.39/197.45 [1905]~E(x19051,x19052)+E(f568(x19053,x19054,x19055,x19051),f568(x19053,x19054,x19055,x19052)) % 197.39/197.45 [1906]~E(x19061,x19062)+E(f306(x19061,x19063,x19064,x19065),f306(x19062,x19063,x19064,x19065)) % 197.39/197.45 [1907]~E(x19071,x19072)+E(f306(x19073,x19071,x19074,x19075),f306(x19073,x19072,x19074,x19075)) % 197.39/197.45 [1908]~E(x19081,x19082)+E(f306(x19083,x19084,x19081,x19085),f306(x19083,x19084,x19082,x19085)) % 197.39/197.45 [1909]~E(x19091,x19092)+E(f306(x19093,x19094,x19095,x19091),f306(x19093,x19094,x19095,x19092)) % 197.39/197.45 [1910]~E(x19101,x19102)+E(f690(x19101,x19103,x19104),f690(x19102,x19103,x19104)) % 197.39/197.45 [1911]~E(x19111,x19112)+E(f690(x19113,x19111,x19114),f690(x19113,x19112,x19114)) % 197.39/197.45 [1912]~E(x19121,x19122)+E(f690(x19123,x19124,x19121),f690(x19123,x19124,x19122)) % 197.39/197.45 [1913]~E(x19131,x19132)+E(f507(x19131,x19133,x19134,x19135),f507(x19132,x19133,x19134,x19135)) % 197.39/197.45 [1914]~E(x19141,x19142)+E(f507(x19143,x19141,x19144,x19145),f507(x19143,x19142,x19144,x19145)) % 197.39/197.45 [1915]~E(x19151,x19152)+E(f507(x19153,x19154,x19151,x19155),f507(x19153,x19154,x19152,x19155)) % 197.39/197.45 [1916]~E(x19161,x19162)+E(f507(x19163,x19164,x19165,x19161),f507(x19163,x19164,x19165,x19162)) % 197.39/197.45 [1917]~E(x19171,x19172)+E(f136(x19171),f136(x19172)) % 197.39/197.45 [1918]~E(x19181,x19182)+E(f108(x19181,x19183,x19184),f108(x19182,x19183,x19184)) % 197.39/197.45 [1919]~E(x19191,x19192)+E(f108(x19193,x19191,x19194),f108(x19193,x19192,x19194)) % 197.39/197.45 [1920]~E(x19201,x19202)+E(f108(x19203,x19204,x19201),f108(x19203,x19204,x19202)) % 197.39/197.45 [1921]~E(x19211,x19212)+E(f480(x19211,x19213,x19214,x19215,x19216),f480(x19212,x19213,x19214,x19215,x19216)) % 197.39/197.45 [1922]~E(x19221,x19222)+E(f480(x19223,x19221,x19224,x19225,x19226),f480(x19223,x19222,x19224,x19225,x19226)) % 197.39/197.45 [1923]~E(x19231,x19232)+E(f480(x19233,x19234,x19231,x19235,x19236),f480(x19233,x19234,x19232,x19235,x19236)) % 197.39/197.45 [1924]~E(x19241,x19242)+E(f480(x19243,x19244,x19245,x19241,x19246),f480(x19243,x19244,x19245,x19242,x19246)) % 197.39/197.45 [1925]~E(x19251,x19252)+E(f480(x19253,x19254,x19255,x19256,x19251),f480(x19253,x19254,x19255,x19256,x19252)) % 197.39/197.45 [1926]~E(x19261,x19262)+E(f590(x19261,x19263,x19264,x19265,x19266),f590(x19262,x19263,x19264,x19265,x19266)) % 197.39/197.45 [1927]~E(x19271,x19272)+E(f590(x19273,x19271,x19274,x19275,x19276),f590(x19273,x19272,x19274,x19275,x19276)) % 197.39/197.45 [1928]~E(x19281,x19282)+E(f590(x19283,x19284,x19281,x19285,x19286),f590(x19283,x19284,x19282,x19285,x19286)) % 197.39/197.45 [1929]~E(x19291,x19292)+E(f590(x19293,x19294,x19295,x19291,x19296),f590(x19293,x19294,x19295,x19292,x19296)) % 197.39/197.45 [1930]~E(x19301,x19302)+E(f590(x19303,x19304,x19305,x19306,x19301),f590(x19303,x19304,x19305,x19306,x19302)) % 197.39/197.45 [1931]~E(x19311,x19312)+E(f70(x19311,x19313,x19314,x19315),f70(x19312,x19313,x19314,x19315)) % 197.39/197.45 [1932]~E(x19321,x19322)+E(f70(x19323,x19321,x19324,x19325),f70(x19323,x19322,x19324,x19325)) % 197.39/197.45 [1933]~E(x19331,x19332)+E(f70(x19333,x19334,x19331,x19335),f70(x19333,x19334,x19332,x19335)) % 197.39/197.45 [1934]~E(x19341,x19342)+E(f70(x19343,x19344,x19345,x19341),f70(x19343,x19344,x19345,x19342)) % 197.39/197.45 [1935]~E(x19351,x19352)+E(f816(x19351,x19353,x19354,x19355,x19356),f816(x19352,x19353,x19354,x19355,x19356)) % 197.39/197.45 [1936]~E(x19361,x19362)+E(f816(x19363,x19361,x19364,x19365,x19366),f816(x19363,x19362,x19364,x19365,x19366)) % 197.39/197.45 [1937]~E(x19371,x19372)+E(f816(x19373,x19374,x19371,x19375,x19376),f816(x19373,x19374,x19372,x19375,x19376)) % 197.39/197.45 [1938]~E(x19381,x19382)+E(f816(x19383,x19384,x19385,x19381,x19386),f816(x19383,x19384,x19385,x19382,x19386)) % 197.39/197.45 [1939]~E(x19391,x19392)+E(f816(x19393,x19394,x19395,x19396,x19391),f816(x19393,x19394,x19395,x19396,x19392)) % 197.39/197.45 [1940]~E(x19401,x19402)+E(f362(x19401,x19403,x19404,x19405,x19406),f362(x19402,x19403,x19404,x19405,x19406)) % 197.39/197.45 [1941]~E(x19411,x19412)+E(f362(x19413,x19411,x19414,x19415,x19416),f362(x19413,x19412,x19414,x19415,x19416)) % 197.39/197.45 [1942]~E(x19421,x19422)+E(f362(x19423,x19424,x19421,x19425,x19426),f362(x19423,x19424,x19422,x19425,x19426)) % 197.39/197.45 [1943]~E(x19431,x19432)+E(f362(x19433,x19434,x19435,x19431,x19436),f362(x19433,x19434,x19435,x19432,x19436)) % 197.39/197.45 [1944]~E(x19441,x19442)+E(f362(x19443,x19444,x19445,x19446,x19441),f362(x19443,x19444,x19445,x19446,x19442)) % 197.39/197.45 [1945]~E(x19451,x19452)+E(f786(x19451,x19453,x19454,x19455),f786(x19452,x19453,x19454,x19455)) % 197.39/197.45 [1946]~E(x19461,x19462)+E(f786(x19463,x19461,x19464,x19465),f786(x19463,x19462,x19464,x19465)) % 197.39/197.45 [1947]~E(x19471,x19472)+E(f786(x19473,x19474,x19471,x19475),f786(x19473,x19474,x19472,x19475)) % 197.39/197.45 [1948]~E(x19481,x19482)+E(f786(x19483,x19484,x19485,x19481),f786(x19483,x19484,x19485,x19482)) % 197.39/197.45 [1949]~E(x19491,x19492)+E(f252(x19491,x19493,x19494),f252(x19492,x19493,x19494)) % 197.39/197.45 [1950]~E(x19501,x19502)+E(f252(x19503,x19501,x19504),f252(x19503,x19502,x19504)) % 197.39/197.45 [1951]~E(x19511,x19512)+E(f252(x19513,x19514,x19511),f252(x19513,x19514,x19512)) % 197.39/197.45 [1952]~E(x19521,x19522)+E(f784(x19521,x19523,x19524),f784(x19522,x19523,x19524)) % 197.39/197.45 [1953]~E(x19531,x19532)+E(f784(x19533,x19531,x19534),f784(x19533,x19532,x19534)) % 197.39/197.45 [1954]~E(x19541,x19542)+E(f784(x19543,x19544,x19541),f784(x19543,x19544,x19542)) % 197.39/197.45 [1955]~E(x19551,x19552)+E(f473(x19551,x19553,x19554,x19555,x19556),f473(x19552,x19553,x19554,x19555,x19556)) % 197.39/197.45 [1956]~E(x19561,x19562)+E(f473(x19563,x19561,x19564,x19565,x19566),f473(x19563,x19562,x19564,x19565,x19566)) % 197.39/197.45 [1957]~E(x19571,x19572)+E(f473(x19573,x19574,x19571,x19575,x19576),f473(x19573,x19574,x19572,x19575,x19576)) % 197.39/197.45 [1958]~E(x19581,x19582)+E(f473(x19583,x19584,x19585,x19581,x19586),f473(x19583,x19584,x19585,x19582,x19586)) % 197.39/197.45 [1959]~E(x19591,x19592)+E(f473(x19593,x19594,x19595,x19596,x19591),f473(x19593,x19594,x19595,x19596,x19592)) % 197.39/197.45 [1960]~E(x19601,x19602)+E(f500(x19601,x19603,x19604,x19605,x19606),f500(x19602,x19603,x19604,x19605,x19606)) % 197.39/197.45 [1961]~E(x19611,x19612)+E(f500(x19613,x19611,x19614,x19615,x19616),f500(x19613,x19612,x19614,x19615,x19616)) % 197.39/197.45 [1962]~E(x19621,x19622)+E(f500(x19623,x19624,x19621,x19625,x19626),f500(x19623,x19624,x19622,x19625,x19626)) % 197.39/197.45 [1963]~E(x19631,x19632)+E(f500(x19633,x19634,x19635,x19631,x19636),f500(x19633,x19634,x19635,x19632,x19636)) % 197.39/197.45 [1964]~E(x19641,x19642)+E(f500(x19643,x19644,x19645,x19646,x19641),f500(x19643,x19644,x19645,x19646,x19642)) % 197.39/197.45 [1965]~E(x19651,x19652)+E(f785(x19651,x19653,x19654),f785(x19652,x19653,x19654)) % 197.39/197.45 [1966]~E(x19661,x19662)+E(f785(x19663,x19661,x19664),f785(x19663,x19662,x19664)) % 197.39/197.45 [1967]~E(x19671,x19672)+E(f785(x19673,x19674,x19671),f785(x19673,x19674,x19672)) % 197.39/197.45 [1968]~E(x19681,x19682)+E(f644(x19681,x19683,x19684),f644(x19682,x19683,x19684)) % 197.39/197.45 [1969]~E(x19691,x19692)+E(f644(x19693,x19691,x19694),f644(x19693,x19692,x19694)) % 197.39/197.45 [1970]~E(x19701,x19702)+E(f644(x19703,x19704,x19701),f644(x19703,x19704,x19702)) % 197.39/197.45 [1971]~E(x19711,x19712)+E(f416(x19711,x19713),f416(x19712,x19713)) % 197.39/197.45 [1972]~E(x19721,x19722)+E(f416(x19723,x19721),f416(x19723,x19722)) % 197.39/197.45 [1973]~E(x19731,x19732)+E(f282(x19731,x19733),f282(x19732,x19733)) % 197.39/197.45 [1974]~E(x19741,x19742)+E(f282(x19743,x19741),f282(x19743,x19742)) % 197.39/197.45 [1975]~E(x19751,x19752)+E(f470(x19751,x19753,x19754),f470(x19752,x19753,x19754)) % 197.39/197.45 [1976]~E(x19761,x19762)+E(f470(x19763,x19761,x19764),f470(x19763,x19762,x19764)) % 197.39/197.45 [1977]~E(x19771,x19772)+E(f470(x19773,x19774,x19771),f470(x19773,x19774,x19772)) % 197.39/197.45 [1978]~E(x19781,x19782)+E(f703(x19781,x19783,x19784,x19785),f703(x19782,x19783,x19784,x19785)) % 197.39/197.45 [1979]~E(x19791,x19792)+E(f703(x19793,x19791,x19794,x19795),f703(x19793,x19792,x19794,x19795)) % 197.39/197.45 [1980]~E(x19801,x19802)+E(f703(x19803,x19804,x19801,x19805),f703(x19803,x19804,x19802,x19805)) % 197.39/197.45 [1981]~E(x19811,x19812)+E(f703(x19813,x19814,x19815,x19811),f703(x19813,x19814,x19815,x19812)) % 197.39/197.45 [1982]~E(x19821,x19822)+E(f552(x19821,x19823),f552(x19822,x19823)) % 197.39/197.45 [1983]~E(x19831,x19832)+E(f552(x19833,x19831),f552(x19833,x19832)) % 197.39/197.45 [1984]~E(x19841,x19842)+E(f670(x19841,x19843,x19844,x19845,x19846),f670(x19842,x19843,x19844,x19845,x19846)) % 197.39/197.45 [1985]~E(x19851,x19852)+E(f670(x19853,x19851,x19854,x19855,x19856),f670(x19853,x19852,x19854,x19855,x19856)) % 197.39/197.45 [1986]~E(x19861,x19862)+E(f670(x19863,x19864,x19861,x19865,x19866),f670(x19863,x19864,x19862,x19865,x19866)) % 197.39/197.45 [1987]~E(x19871,x19872)+E(f670(x19873,x19874,x19875,x19871,x19876),f670(x19873,x19874,x19875,x19872,x19876)) % 197.39/197.45 [1988]~E(x19881,x19882)+E(f670(x19883,x19884,x19885,x19886,x19881),f670(x19883,x19884,x19885,x19886,x19882)) % 197.39/197.45 [1989]~E(x19891,x19892)+E(f321(x19891,x19893),f321(x19892,x19893)) % 197.39/197.45 [1990]~E(x19901,x19902)+E(f321(x19903,x19901),f321(x19903,x19902)) % 197.39/197.45 [1991]~E(x19911,x19912)+E(f365(x19911,x19913,x19914,x19915,x19916),f365(x19912,x19913,x19914,x19915,x19916)) % 197.39/197.45 [1992]~E(x19921,x19922)+E(f365(x19923,x19921,x19924,x19925,x19926),f365(x19923,x19922,x19924,x19925,x19926)) % 197.39/197.45 [1993]~E(x19931,x19932)+E(f365(x19933,x19934,x19931,x19935,x19936),f365(x19933,x19934,x19932,x19935,x19936)) % 197.39/197.45 [1994]~E(x19941,x19942)+E(f365(x19943,x19944,x19945,x19941,x19946),f365(x19943,x19944,x19945,x19942,x19946)) % 197.39/197.45 [1995]~E(x19951,x19952)+E(f365(x19953,x19954,x19955,x19956,x19951),f365(x19953,x19954,x19955,x19956,x19952)) % 197.39/197.45 [1996]~E(x19961,x19962)+E(f748(x19961,x19963,x19964),f748(x19962,x19963,x19964)) % 197.39/197.45 [1997]~E(x19971,x19972)+E(f748(x19973,x19971,x19974),f748(x19973,x19972,x19974)) % 197.39/197.45 [1998]~E(x19981,x19982)+E(f748(x19983,x19984,x19981),f748(x19983,x19984,x19982)) % 197.39/197.45 [1999]~E(x19991,x19992)+E(f451(x19991,x19993,x19994,x19995,x19996,x19997),f451(x19992,x19993,x19994,x19995,x19996,x19997)) % 197.39/197.45 [2000]~E(x20001,x20002)+E(f451(x20003,x20001,x20004,x20005,x20006,x20007),f451(x20003,x20002,x20004,x20005,x20006,x20007)) % 197.39/197.45 [2001]~E(x20011,x20012)+E(f451(x20013,x20014,x20011,x20015,x20016,x20017),f451(x20013,x20014,x20012,x20015,x20016,x20017)) % 197.39/197.45 [2002]~E(x20021,x20022)+E(f451(x20023,x20024,x20025,x20021,x20026,x20027),f451(x20023,x20024,x20025,x20022,x20026,x20027)) % 197.39/197.45 [2003]~E(x20031,x20032)+E(f451(x20033,x20034,x20035,x20036,x20031,x20037),f451(x20033,x20034,x20035,x20036,x20032,x20037)) % 197.39/197.45 [2004]~E(x20041,x20042)+E(f451(x20043,x20044,x20045,x20046,x20047,x20041),f451(x20043,x20044,x20045,x20046,x20047,x20042)) % 197.39/197.45 [2005]~E(x20051,x20052)+E(f471(x20051,x20053),f471(x20052,x20053)) % 197.39/197.45 [2006]~E(x20061,x20062)+E(f471(x20063,x20061),f471(x20063,x20062)) % 197.39/197.45 [2007]~E(x20071,x20072)+E(f614(x20071,x20073,x20074,x20075),f614(x20072,x20073,x20074,x20075)) % 197.39/197.45 [2008]~E(x20081,x20082)+E(f614(x20083,x20081,x20084,x20085),f614(x20083,x20082,x20084,x20085)) % 197.39/197.45 [2009]~E(x20091,x20092)+E(f614(x20093,x20094,x20091,x20095),f614(x20093,x20094,x20092,x20095)) % 197.39/197.45 [2010]~E(x20101,x20102)+E(f614(x20103,x20104,x20105,x20101),f614(x20103,x20104,x20105,x20102)) % 197.39/197.45 [2011]~E(x20111,x20112)+E(f366(x20111,x20113,x20114),f366(x20112,x20113,x20114)) % 197.39/197.45 [2012]~E(x20121,x20122)+E(f366(x20123,x20121,x20124),f366(x20123,x20122,x20124)) % 197.39/197.45 [2013]~E(x20131,x20132)+E(f366(x20133,x20134,x20131),f366(x20133,x20134,x20132)) % 197.39/197.45 [2014]~E(x20141,x20142)+E(f757(x20141,x20143,x20144),f757(x20142,x20143,x20144)) % 197.39/197.45 [2015]~E(x20151,x20152)+E(f757(x20153,x20151,x20154),f757(x20153,x20152,x20154)) % 197.39/197.45 [2016]~E(x20161,x20162)+E(f757(x20163,x20164,x20161),f757(x20163,x20164,x20162)) % 197.39/197.45 [2017]~E(x20171,x20172)+E(f660(x20171,x20173),f660(x20172,x20173)) % 197.39/197.45 [2018]~E(x20181,x20182)+E(f660(x20183,x20181),f660(x20183,x20182)) % 197.39/197.45 [2019]~E(x20191,x20192)+E(f744(x20191,x20193,x20194),f744(x20192,x20193,x20194)) % 197.39/197.45 [2020]~E(x20201,x20202)+E(f744(x20203,x20201,x20204),f744(x20203,x20202,x20204)) % 197.39/197.45 [2021]~E(x20211,x20212)+E(f744(x20213,x20214,x20211),f744(x20213,x20214,x20212)) % 197.39/197.45 [2022]~E(x20221,x20222)+E(f200(x20221,x20223),f200(x20222,x20223)) % 197.39/197.45 [2023]~E(x20231,x20232)+E(f200(x20233,x20231),f200(x20233,x20232)) % 197.39/197.45 [2024]~E(x20241,x20242)+E(f467(x20241,x20243),f467(x20242,x20243)) % 197.39/197.45 [2025]~E(x20251,x20252)+E(f467(x20253,x20251),f467(x20253,x20252)) % 197.39/197.45 [2026]~E(x20261,x20262)+E(f211(x20261,x20263,x20264,x20265),f211(x20262,x20263,x20264,x20265)) % 197.39/197.45 [2027]~E(x20271,x20272)+E(f211(x20273,x20271,x20274,x20275),f211(x20273,x20272,x20274,x20275)) % 197.39/197.45 [2028]~E(x20281,x20282)+E(f211(x20283,x20284,x20281,x20285),f211(x20283,x20284,x20282,x20285)) % 197.39/197.45 [2029]~E(x20291,x20292)+E(f211(x20293,x20294,x20295,x20291),f211(x20293,x20294,x20295,x20292)) % 197.39/197.45 [2030]~E(x20301,x20302)+E(f148(x20301,x20303),f148(x20302,x20303)) % 197.39/197.45 [2031]~E(x20311,x20312)+E(f148(x20313,x20311),f148(x20313,x20312)) % 197.39/197.45 [2032]~E(x20321,x20322)+E(f825(x20321,x20323,x20324,x20325,x20326),f825(x20322,x20323,x20324,x20325,x20326)) % 197.39/197.45 [2033]~E(x20331,x20332)+E(f825(x20333,x20331,x20334,x20335,x20336),f825(x20333,x20332,x20334,x20335,x20336)) % 197.39/197.45 [2034]~E(x20341,x20342)+E(f825(x20343,x20344,x20341,x20345,x20346),f825(x20343,x20344,x20342,x20345,x20346)) % 197.39/197.45 [2035]~E(x20351,x20352)+E(f825(x20353,x20354,x20355,x20351,x20356),f825(x20353,x20354,x20355,x20352,x20356)) % 197.39/197.45 [2036]~E(x20361,x20362)+E(f825(x20363,x20364,x20365,x20366,x20361),f825(x20363,x20364,x20365,x20366,x20362)) % 197.39/197.45 [2037]~E(x20371,x20372)+E(f389(x20371,x20373,x20374,x20375),f389(x20372,x20373,x20374,x20375)) % 197.39/197.45 [2038]~E(x20381,x20382)+E(f389(x20383,x20381,x20384,x20385),f389(x20383,x20382,x20384,x20385)) % 197.39/197.45 [2039]~E(x20391,x20392)+E(f389(x20393,x20394,x20391,x20395),f389(x20393,x20394,x20392,x20395)) % 197.39/197.45 [2040]~E(x20401,x20402)+E(f389(x20403,x20404,x20405,x20401),f389(x20403,x20404,x20405,x20402)) % 197.39/197.45 [2041]~E(x20411,x20412)+E(f303(x20411,x20413,x20414),f303(x20412,x20413,x20414)) % 197.39/197.45 [2042]~E(x20421,x20422)+E(f303(x20423,x20421,x20424),f303(x20423,x20422,x20424)) % 197.39/197.45 [2043]~E(x20431,x20432)+E(f303(x20433,x20434,x20431),f303(x20433,x20434,x20432)) % 197.39/197.45 [2044]~E(x20441,x20442)+E(f840(x20441,x20443,x20444,x20445),f840(x20442,x20443,x20444,x20445)) % 197.39/197.45 [2045]~E(x20451,x20452)+E(f840(x20453,x20451,x20454,x20455),f840(x20453,x20452,x20454,x20455)) % 197.39/197.45 [2046]~E(x20461,x20462)+E(f840(x20463,x20464,x20461,x20465),f840(x20463,x20464,x20462,x20465)) % 197.39/197.45 [2047]~E(x20471,x20472)+E(f840(x20473,x20474,x20475,x20471),f840(x20473,x20474,x20475,x20472)) % 197.39/197.45 [2048]~E(x20481,x20482)+E(f791(x20481,x20483),f791(x20482,x20483)) % 197.39/197.45 [2049]~E(x20491,x20492)+E(f791(x20493,x20491),f791(x20493,x20492)) % 197.39/197.45 [2050]~E(x20501,x20502)+E(f623(x20501,x20503,x20504,x20505,x20506,x20507),f623(x20502,x20503,x20504,x20505,x20506,x20507)) % 197.39/197.45 [2051]~E(x20511,x20512)+E(f623(x20513,x20511,x20514,x20515,x20516,x20517),f623(x20513,x20512,x20514,x20515,x20516,x20517)) % 197.39/197.45 [2052]~E(x20521,x20522)+E(f623(x20523,x20524,x20521,x20525,x20526,x20527),f623(x20523,x20524,x20522,x20525,x20526,x20527)) % 197.39/197.45 [2053]~E(x20531,x20532)+E(f623(x20533,x20534,x20535,x20531,x20536,x20537),f623(x20533,x20534,x20535,x20532,x20536,x20537)) % 197.39/197.45 [2054]~E(x20541,x20542)+E(f623(x20543,x20544,x20545,x20546,x20541,x20547),f623(x20543,x20544,x20545,x20546,x20542,x20547)) % 197.39/197.45 [2055]~E(x20551,x20552)+E(f623(x20553,x20554,x20555,x20556,x20557,x20551),f623(x20553,x20554,x20555,x20556,x20557,x20552)) % 197.39/197.45 [2056]~E(x20561,x20562)+E(f833(x20561,x20563,x20564,x20565),f833(x20562,x20563,x20564,x20565)) % 197.39/197.45 [2057]~E(x20571,x20572)+E(f833(x20573,x20571,x20574,x20575),f833(x20573,x20572,x20574,x20575)) % 197.39/197.45 [2058]~E(x20581,x20582)+E(f833(x20583,x20584,x20581,x20585),f833(x20583,x20584,x20582,x20585)) % 197.39/197.45 [2059]~E(x20591,x20592)+E(f833(x20593,x20594,x20595,x20591),f833(x20593,x20594,x20595,x20592)) % 197.39/197.45 [2060]~E(x20601,x20602)+E(f364(x20601,x20603,x20604,x20605,x20606),f364(x20602,x20603,x20604,x20605,x20606)) % 197.39/197.45 [2061]~E(x20611,x20612)+E(f364(x20613,x20611,x20614,x20615,x20616),f364(x20613,x20612,x20614,x20615,x20616)) % 197.39/197.45 [2062]~E(x20621,x20622)+E(f364(x20623,x20624,x20621,x20625,x20626),f364(x20623,x20624,x20622,x20625,x20626)) % 197.39/197.45 [2063]~E(x20631,x20632)+E(f364(x20633,x20634,x20635,x20631,x20636),f364(x20633,x20634,x20635,x20632,x20636)) % 197.39/197.45 [2064]~E(x20641,x20642)+E(f364(x20643,x20644,x20645,x20646,x20641),f364(x20643,x20644,x20645,x20646,x20642)) % 197.39/197.45 [2065]~E(x20651,x20652)+E(f352(x20651,x20653,x20654),f352(x20652,x20653,x20654)) % 197.39/197.45 [2066]~E(x20661,x20662)+E(f352(x20663,x20661,x20664),f352(x20663,x20662,x20664)) % 197.39/197.45 [2067]~E(x20671,x20672)+E(f352(x20673,x20674,x20671),f352(x20673,x20674,x20672)) % 197.39/197.45 [2068]~E(x20681,x20682)+E(f759(x20681,x20683,x20684),f759(x20682,x20683,x20684)) % 197.39/197.45 [2069]~E(x20691,x20692)+E(f759(x20693,x20691,x20694),f759(x20693,x20692,x20694)) % 197.39/197.45 [2070]~E(x20701,x20702)+E(f759(x20703,x20704,x20701),f759(x20703,x20704,x20702)) % 197.39/197.45 [2071]~E(x20711,x20712)+E(f643(x20711),f643(x20712)) % 197.39/197.45 [2072]~E(x20721,x20722)+E(f676(x20721,x20723),f676(x20722,x20723)) % 197.39/197.45 [2073]~E(x20731,x20732)+E(f676(x20733,x20731),f676(x20733,x20732)) % 197.39/197.45 [2074]~E(x20741,x20742)+E(f583(x20741,x20743,x20744,x20745),f583(x20742,x20743,x20744,x20745)) % 197.39/197.45 [2075]~E(x20751,x20752)+E(f583(x20753,x20751,x20754,x20755),f583(x20753,x20752,x20754,x20755)) % 197.39/197.45 [2076]~E(x20761,x20762)+E(f583(x20763,x20764,x20761,x20765),f583(x20763,x20764,x20762,x20765)) % 197.39/197.45 [2077]~E(x20771,x20772)+E(f583(x20773,x20774,x20775,x20771),f583(x20773,x20774,x20775,x20772)) % 197.39/197.45 [2078]~E(x20781,x20782)+E(f828(x20781,x20783,x20784,x20785,x20786,x20787),f828(x20782,x20783,x20784,x20785,x20786,x20787)) % 197.39/197.45 [2079]~E(x20791,x20792)+E(f828(x20793,x20791,x20794,x20795,x20796,x20797),f828(x20793,x20792,x20794,x20795,x20796,x20797)) % 197.39/197.45 [2080]~E(x20801,x20802)+E(f828(x20803,x20804,x20801,x20805,x20806,x20807),f828(x20803,x20804,x20802,x20805,x20806,x20807)) % 197.39/197.45 [2081]~E(x20811,x20812)+E(f828(x20813,x20814,x20815,x20811,x20816,x20817),f828(x20813,x20814,x20815,x20812,x20816,x20817)) % 197.39/197.45 [2082]~E(x20821,x20822)+E(f828(x20823,x20824,x20825,x20826,x20821,x20827),f828(x20823,x20824,x20825,x20826,x20822,x20827)) % 197.39/197.45 [2083]~E(x20831,x20832)+E(f828(x20833,x20834,x20835,x20836,x20837,x20831),f828(x20833,x20834,x20835,x20836,x20837,x20832)) % 197.39/197.45 [2084]~E(x20841,x20842)+E(f53(x20841,x20843,x20844),f53(x20842,x20843,x20844)) % 197.39/197.45 [2085]~E(x20851,x20852)+E(f53(x20853,x20851,x20854),f53(x20853,x20852,x20854)) % 197.39/197.45 [2086]~E(x20861,x20862)+E(f53(x20863,x20864,x20861),f53(x20863,x20864,x20862)) % 197.39/197.45 [2087]~E(x20871,x20872)+E(f369(x20871,x20873,x20874),f369(x20872,x20873,x20874)) % 197.39/197.45 [2088]~E(x20881,x20882)+E(f369(x20883,x20881,x20884),f369(x20883,x20882,x20884)) % 197.39/197.45 [2089]~E(x20891,x20892)+E(f369(x20893,x20894,x20891),f369(x20893,x20894,x20892)) % 197.39/197.45 [2090]~E(x20901,x20902)+E(f587(x20901,x20903,x20904,x20905,x20906),f587(x20902,x20903,x20904,x20905,x20906)) % 197.39/197.45 [2091]~E(x20911,x20912)+E(f587(x20913,x20911,x20914,x20915,x20916),f587(x20913,x20912,x20914,x20915,x20916)) % 197.39/197.45 [2092]~E(x20921,x20922)+E(f587(x20923,x20924,x20921,x20925,x20926),f587(x20923,x20924,x20922,x20925,x20926)) % 197.39/197.45 [2093]~E(x20931,x20932)+E(f587(x20933,x20934,x20935,x20931,x20936),f587(x20933,x20934,x20935,x20932,x20936)) % 197.39/197.45 [2094]~E(x20941,x20942)+E(f587(x20943,x20944,x20945,x20946,x20941),f587(x20943,x20944,x20945,x20946,x20942)) % 197.39/197.45 [2095]~E(x20951,x20952)+E(f849(x20951),f849(x20952)) % 197.39/197.45 [2096]~E(x20961,x20962)+E(f700(x20961,x20963),f700(x20962,x20963)) % 197.39/197.45 [2097]~E(x20971,x20972)+E(f700(x20973,x20971),f700(x20973,x20972)) % 197.39/197.45 [2098]~E(x20981,x20982)+E(f266(x20981,x20983,x20984,x20985,x20986),f266(x20982,x20983,x20984,x20985,x20986)) % 197.39/197.45 [2099]~E(x20991,x20992)+E(f266(x20993,x20991,x20994,x20995,x20996),f266(x20993,x20992,x20994,x20995,x20996)) % 197.39/197.45 [2100]~E(x21001,x21002)+E(f266(x21003,x21004,x21001,x21005,x21006),f266(x21003,x21004,x21002,x21005,x21006)) % 197.39/197.45 [2101]~E(x21011,x21012)+E(f266(x21013,x21014,x21015,x21011,x21016),f266(x21013,x21014,x21015,x21012,x21016)) % 197.39/197.45 [2102]~E(x21021,x21022)+E(f266(x21023,x21024,x21025,x21026,x21021),f266(x21023,x21024,x21025,x21026,x21022)) % 197.39/197.45 [2103]~E(x21031,x21032)+E(f444(x21031,x21033,x21034,x21035),f444(x21032,x21033,x21034,x21035)) % 197.39/197.45 [2104]~E(x21041,x21042)+E(f444(x21043,x21041,x21044,x21045),f444(x21043,x21042,x21044,x21045)) % 197.39/197.45 [2105]~E(x21051,x21052)+E(f444(x21053,x21054,x21051,x21055),f444(x21053,x21054,x21052,x21055)) % 197.39/197.45 [2106]~E(x21061,x21062)+E(f444(x21063,x21064,x21065,x21061),f444(x21063,x21064,x21065,x21062)) % 197.39/197.45 [2107]~E(x21071,x21072)+E(f722(x21071,x21073,x21074,x21075),f722(x21072,x21073,x21074,x21075)) % 197.39/197.45 [2108]~E(x21081,x21082)+E(f722(x21083,x21081,x21084,x21085),f722(x21083,x21082,x21084,x21085)) % 197.39/197.45 [2109]~E(x21091,x21092)+E(f722(x21093,x21094,x21091,x21095),f722(x21093,x21094,x21092,x21095)) % 197.39/197.45 [2110]~E(x21101,x21102)+E(f722(x21103,x21104,x21105,x21101),f722(x21103,x21104,x21105,x21102)) % 197.39/197.45 [2111]~E(x21111,x21112)+E(f216(x21111,x21113,x21114,x21115),f216(x21112,x21113,x21114,x21115)) % 197.39/197.45 [2112]~E(x21121,x21122)+E(f216(x21123,x21121,x21124,x21125),f216(x21123,x21122,x21124,x21125)) % 197.39/197.45 [2113]~E(x21131,x21132)+E(f216(x21133,x21134,x21131,x21135),f216(x21133,x21134,x21132,x21135)) % 197.39/197.45 [2114]~E(x21141,x21142)+E(f216(x21143,x21144,x21145,x21141),f216(x21143,x21144,x21145,x21142)) % 197.39/197.45 [2115]~E(x21151,x21152)+E(f779(x21151,x21153,x21154,x21155,x21156),f779(x21152,x21153,x21154,x21155,x21156)) % 197.39/197.45 [2116]~E(x21161,x21162)+E(f779(x21163,x21161,x21164,x21165,x21166),f779(x21163,x21162,x21164,x21165,x21166)) % 197.39/197.45 [2117]~E(x21171,x21172)+E(f779(x21173,x21174,x21171,x21175,x21176),f779(x21173,x21174,x21172,x21175,x21176)) % 197.39/197.45 [2118]~E(x21181,x21182)+E(f779(x21183,x21184,x21185,x21181,x21186),f779(x21183,x21184,x21185,x21182,x21186)) % 197.39/197.45 [2119]~E(x21191,x21192)+E(f779(x21193,x21194,x21195,x21196,x21191),f779(x21193,x21194,x21195,x21196,x21192)) % 197.39/197.45 [2120]~E(x21201,x21202)+E(f735(x21201,x21203,x21204),f735(x21202,x21203,x21204)) % 197.39/197.45 [2121]~E(x21211,x21212)+E(f735(x21213,x21211,x21214),f735(x21213,x21212,x21214)) % 197.39/197.45 [2122]~E(x21221,x21222)+E(f735(x21223,x21224,x21221),f735(x21223,x21224,x21222)) % 197.39/197.45 [2123]~E(x21231,x21232)+E(f655(x21231,x21233,x21234),f655(x21232,x21233,x21234)) % 197.39/197.45 [2124]~E(x21241,x21242)+E(f655(x21243,x21241,x21244),f655(x21243,x21242,x21244)) % 197.39/197.45 [2125]~E(x21251,x21252)+E(f655(x21253,x21254,x21251),f655(x21253,x21254,x21252)) % 197.39/197.45 [2126]~E(x21261,x21262)+E(f798(x21261,x21263,x21264,x21265),f798(x21262,x21263,x21264,x21265)) % 197.39/197.45 [2127]~E(x21271,x21272)+E(f798(x21273,x21271,x21274,x21275),f798(x21273,x21272,x21274,x21275)) % 197.39/197.45 [2128]~E(x21281,x21282)+E(f798(x21283,x21284,x21281,x21285),f798(x21283,x21284,x21282,x21285)) % 197.39/197.45 [2129]~E(x21291,x21292)+E(f798(x21293,x21294,x21295,x21291),f798(x21293,x21294,x21295,x21292)) % 197.39/197.45 [2130]~E(x21301,x21302)+E(f564(x21301,x21303,x21304,x21305),f564(x21302,x21303,x21304,x21305)) % 197.39/197.45 [2131]~E(x21311,x21312)+E(f564(x21313,x21311,x21314,x21315),f564(x21313,x21312,x21314,x21315)) % 197.39/197.45 [2132]~E(x21321,x21322)+E(f564(x21323,x21324,x21321,x21325),f564(x21323,x21324,x21322,x21325)) % 197.39/197.45 [2133]~E(x21331,x21332)+E(f564(x21333,x21334,x21335,x21331),f564(x21333,x21334,x21335,x21332)) % 197.39/197.45 [2134]~E(x21341,x21342)+E(f346(x21341),f346(x21342)) % 197.39/197.45 [2135]~E(x21351,x21352)+E(f780(x21351,x21353,x21354,x21355,x21356),f780(x21352,x21353,x21354,x21355,x21356)) % 197.39/197.45 [2136]~E(x21361,x21362)+E(f780(x21363,x21361,x21364,x21365,x21366),f780(x21363,x21362,x21364,x21365,x21366)) % 197.39/197.45 [2137]~E(x21371,x21372)+E(f780(x21373,x21374,x21371,x21375,x21376),f780(x21373,x21374,x21372,x21375,x21376)) % 197.39/197.45 [2138]~E(x21381,x21382)+E(f780(x21383,x21384,x21385,x21381,x21386),f780(x21383,x21384,x21385,x21382,x21386)) % 197.39/197.45 [2139]~E(x21391,x21392)+E(f780(x21393,x21394,x21395,x21396,x21391),f780(x21393,x21394,x21395,x21396,x21392)) % 197.39/197.45 [2140]~E(x21401,x21402)+E(f358(x21401,x21403,x21404),f358(x21402,x21403,x21404)) % 197.39/197.45 [2141]~E(x21411,x21412)+E(f358(x21413,x21411,x21414),f358(x21413,x21412,x21414)) % 197.39/197.45 [2142]~E(x21421,x21422)+E(f358(x21423,x21424,x21421),f358(x21423,x21424,x21422)) % 197.39/197.45 [2143]~E(x21431,x21432)+E(f376(x21431,x21433,x21434,x21435,x21436,x21437),f376(x21432,x21433,x21434,x21435,x21436,x21437)) % 197.39/197.45 [2144]~E(x21441,x21442)+E(f376(x21443,x21441,x21444,x21445,x21446,x21447),f376(x21443,x21442,x21444,x21445,x21446,x21447)) % 197.39/197.45 [2145]~E(x21451,x21452)+E(f376(x21453,x21454,x21451,x21455,x21456,x21457),f376(x21453,x21454,x21452,x21455,x21456,x21457)) % 197.39/197.45 [2146]~E(x21461,x21462)+E(f376(x21463,x21464,x21465,x21461,x21466,x21467),f376(x21463,x21464,x21465,x21462,x21466,x21467)) % 197.39/197.45 [2147]~E(x21471,x21472)+E(f376(x21473,x21474,x21475,x21476,x21471,x21477),f376(x21473,x21474,x21475,x21476,x21472,x21477)) % 197.39/197.45 [2148]~E(x21481,x21482)+E(f376(x21483,x21484,x21485,x21486,x21487,x21481),f376(x21483,x21484,x21485,x21486,x21487,x21482)) % 197.39/197.45 [2149]~E(x21491,x21492)+E(f214(x21491),f214(x21492)) % 197.39/197.45 [2150]~E(x21501,x21502)+E(f527(x21501,x21503,x21504,x21505),f527(x21502,x21503,x21504,x21505)) % 197.39/197.45 [2151]~E(x21511,x21512)+E(f527(x21513,x21511,x21514,x21515),f527(x21513,x21512,x21514,x21515)) % 197.39/197.45 [2152]~E(x21521,x21522)+E(f527(x21523,x21524,x21521,x21525),f527(x21523,x21524,x21522,x21525)) % 197.39/197.45 [2153]~E(x21531,x21532)+E(f527(x21533,x21534,x21535,x21531),f527(x21533,x21534,x21535,x21532)) % 197.39/197.45 [2154]~E(x21541,x21542)+E(f431(x21541,x21543),f431(x21542,x21543)) % 197.39/197.45 [2155]~E(x21551,x21552)+E(f431(x21553,x21551),f431(x21553,x21552)) % 197.39/197.45 [2156]~E(x21561,x21562)+E(f245(x21561,x21563),f245(x21562,x21563)) % 197.39/197.45 [2157]~E(x21571,x21572)+E(f245(x21573,x21571),f245(x21573,x21572)) % 197.39/197.45 [2158]~E(x21581,x21582)+E(f763(x21581,x21583,x21584,x21585),f763(x21582,x21583,x21584,x21585)) % 197.39/197.45 [2159]~E(x21591,x21592)+E(f763(x21593,x21591,x21594,x21595),f763(x21593,x21592,x21594,x21595)) % 197.39/197.45 [2160]~E(x21601,x21602)+E(f763(x21603,x21604,x21601,x21605),f763(x21603,x21604,x21602,x21605)) % 197.39/197.45 [2161]~E(x21611,x21612)+E(f763(x21613,x21614,x21615,x21611),f763(x21613,x21614,x21615,x21612)) % 197.39/197.45 [2162]~E(x21621,x21622)+E(f697(x21621,x21623,x21624),f697(x21622,x21623,x21624)) % 197.39/197.45 [2163]~E(x21631,x21632)+E(f697(x21633,x21631,x21634),f697(x21633,x21632,x21634)) % 197.39/197.45 [2164]~E(x21641,x21642)+E(f697(x21643,x21644,x21641),f697(x21643,x21644,x21642)) % 197.39/197.45 [2165]~E(x21651,x21652)+E(f741(x21651,x21653,x21654),f741(x21652,x21653,x21654)) % 197.39/197.45 [2166]~E(x21661,x21662)+E(f741(x21663,x21661,x21664),f741(x21663,x21662,x21664)) % 197.39/197.45 [2167]~E(x21671,x21672)+E(f741(x21673,x21674,x21671),f741(x21673,x21674,x21672)) % 197.39/197.45 [2168]~E(x21681,x21682)+E(f539(x21681,x21683,x21684,x21685,x21686),f539(x21682,x21683,x21684,x21685,x21686)) % 197.39/197.45 [2169]~E(x21691,x21692)+E(f539(x21693,x21691,x21694,x21695,x21696),f539(x21693,x21692,x21694,x21695,x21696)) % 197.39/197.45 [2170]~E(x21701,x21702)+E(f539(x21703,x21704,x21701,x21705,x21706),f539(x21703,x21704,x21702,x21705,x21706)) % 197.39/197.45 [2171]~E(x21711,x21712)+E(f539(x21713,x21714,x21715,x21711,x21716),f539(x21713,x21714,x21715,x21712,x21716)) % 197.39/197.45 [2172]~E(x21721,x21722)+E(f539(x21723,x21724,x21725,x21726,x21721),f539(x21723,x21724,x21725,x21726,x21722)) % 197.39/197.45 [2173]~E(x21731,x21732)+E(f244(x21731,x21733),f244(x21732,x21733)) % 197.39/197.45 [2174]~E(x21741,x21742)+E(f244(x21743,x21741),f244(x21743,x21742)) % 197.39/197.45 [2175]~E(x21751,x21752)+E(f647(x21751,x21753,x21754),f647(x21752,x21753,x21754)) % 197.39/197.45 [2176]~E(x21761,x21762)+E(f647(x21763,x21761,x21764),f647(x21763,x21762,x21764)) % 197.39/197.45 [2177]~E(x21771,x21772)+E(f647(x21773,x21774,x21771),f647(x21773,x21774,x21772)) % 197.39/197.45 [2178]~E(x21781,x21782)+E(f104(x21781,x21783,x21784),f104(x21782,x21783,x21784)) % 197.39/197.45 [2179]~E(x21791,x21792)+E(f104(x21793,x21791,x21794),f104(x21793,x21792,x21794)) % 197.39/197.45 [2180]~E(x21801,x21802)+E(f104(x21803,x21804,x21801),f104(x21803,x21804,x21802)) % 197.39/197.45 [2181]~E(x21811,x21812)+E(f459(x21811,x21813),f459(x21812,x21813)) % 197.39/197.45 [2182]~E(x21821,x21822)+E(f459(x21823,x21821),f459(x21823,x21822)) % 197.39/197.45 [2183]~E(x21831,x21832)+E(f523(x21831,x21833,x21834),f523(x21832,x21833,x21834)) % 197.39/197.45 [2184]~E(x21841,x21842)+E(f523(x21843,x21841,x21844),f523(x21843,x21842,x21844)) % 197.39/197.45 [2185]~E(x21851,x21852)+E(f523(x21853,x21854,x21851),f523(x21853,x21854,x21852)) % 197.39/197.45 [2186]~E(x21861,x21862)+E(f509(x21861,x21863,x21864),f509(x21862,x21863,x21864)) % 197.39/197.45 [2187]~E(x21871,x21872)+E(f509(x21873,x21871,x21874),f509(x21873,x21872,x21874)) % 197.39/197.45 [2188]~E(x21881,x21882)+E(f509(x21883,x21884,x21881),f509(x21883,x21884,x21882)) % 197.39/197.45 [2189]~E(x21891,x21892)+E(f790(x21891,x21893),f790(x21892,x21893)) % 197.39/197.45 [2190]~E(x21901,x21902)+E(f790(x21903,x21901),f790(x21903,x21902)) % 197.39/197.45 [2191]~E(x21911,x21912)+E(f651(x21911,x21913),f651(x21912,x21913)) % 197.39/197.45 [2192]~E(x21921,x21922)+E(f651(x21923,x21921),f651(x21923,x21922)) % 197.39/197.45 [2193]~E(x21931,x21932)+E(f322(x21931,x21933,x21934),f322(x21932,x21933,x21934)) % 197.39/197.45 [2194]~E(x21941,x21942)+E(f322(x21943,x21941,x21944),f322(x21943,x21942,x21944)) % 197.39/197.45 [2195]~E(x21951,x21952)+E(f322(x21953,x21954,x21951),f322(x21953,x21954,x21952)) % 197.39/197.45 [2196]~E(x21961,x21962)+E(f356(x21961,x21963,x21964),f356(x21962,x21963,x21964)) % 197.39/197.45 [2197]~E(x21971,x21972)+E(f356(x21973,x21971,x21974),f356(x21973,x21972,x21974)) % 197.39/197.45 [2198]~E(x21981,x21982)+E(f356(x21983,x21984,x21981),f356(x21983,x21984,x21982)) % 197.39/197.45 [2199]~E(x21991,x21992)+E(f167(x21991,x21993),f167(x21992,x21993)) % 197.39/197.45 [2200]~E(x22001,x22002)+E(f167(x22003,x22001),f167(x22003,x22002)) % 197.39/197.45 [2201]~E(x22011,x22012)+E(f535(x22011,x22013),f535(x22012,x22013)) % 197.39/197.45 [2202]~E(x22021,x22022)+E(f535(x22023,x22021),f535(x22023,x22022)) % 197.39/197.45 [2203]~E(x22031,x22032)+E(f545(x22031,x22033,x22034),f545(x22032,x22033,x22034)) % 197.39/197.45 [2204]~E(x22041,x22042)+E(f545(x22043,x22041,x22044),f545(x22043,x22042,x22044)) % 197.39/197.45 [2205]~E(x22051,x22052)+E(f545(x22053,x22054,x22051),f545(x22053,x22054,x22052)) % 197.39/197.45 [2206]~E(x22061,x22062)+E(f179(x22061,x22063,x22064),f179(x22062,x22063,x22064)) % 197.39/197.45 [2207]~E(x22071,x22072)+E(f179(x22073,x22071,x22074),f179(x22073,x22072,x22074)) % 197.39/197.45 [2208]~E(x22081,x22082)+E(f179(x22083,x22084,x22081),f179(x22083,x22084,x22082)) % 197.39/197.45 [2209]~E(x22091,x22092)+E(f540(x22091,x22093,x22094),f540(x22092,x22093,x22094)) % 197.39/197.45 [2210]~E(x22101,x22102)+E(f540(x22103,x22101,x22104),f540(x22103,x22102,x22104)) % 197.39/197.45 [2211]~E(x22111,x22112)+E(f540(x22113,x22114,x22111),f540(x22113,x22114,x22112)) % 197.39/197.45 [2212]~E(x22121,x22122)+E(f498(x22121,x22123,x22124,x22125,x22126,x22127),f498(x22122,x22123,x22124,x22125,x22126,x22127)) % 197.39/197.45 [2213]~E(x22131,x22132)+E(f498(x22133,x22131,x22134,x22135,x22136,x22137),f498(x22133,x22132,x22134,x22135,x22136,x22137)) % 197.39/197.45 [2214]~E(x22141,x22142)+E(f498(x22143,x22144,x22141,x22145,x22146,x22147),f498(x22143,x22144,x22142,x22145,x22146,x22147)) % 197.39/197.45 [2215]~E(x22151,x22152)+E(f498(x22153,x22154,x22155,x22151,x22156,x22157),f498(x22153,x22154,x22155,x22152,x22156,x22157)) % 197.39/197.45 [2216]~E(x22161,x22162)+E(f498(x22163,x22164,x22165,x22166,x22161,x22167),f498(x22163,x22164,x22165,x22166,x22162,x22167)) % 197.39/197.45 [2217]~E(x22171,x22172)+E(f498(x22173,x22174,x22175,x22176,x22177,x22171),f498(x22173,x22174,x22175,x22176,x22177,x22172)) % 197.39/197.45 [2218]~E(x22181,x22182)+E(f439(x22181,x22183,x22184),f439(x22182,x22183,x22184)) % 197.39/197.45 [2219]~E(x22191,x22192)+E(f439(x22193,x22191,x22194),f439(x22193,x22192,x22194)) % 197.39/197.45 [2220]~E(x22201,x22202)+E(f439(x22203,x22204,x22201),f439(x22203,x22204,x22202)) % 197.39/197.45 [2221]~E(x22211,x22212)+E(f217(x22211,x22213,x22214,x22215,x22216,x22217,x22218),f217(x22212,x22213,x22214,x22215,x22216,x22217,x22218)) % 197.39/197.45 [2222]~E(x22221,x22222)+E(f217(x22223,x22221,x22224,x22225,x22226,x22227,x22228),f217(x22223,x22222,x22224,x22225,x22226,x22227,x22228)) % 197.39/197.45 [2223]~E(x22231,x22232)+E(f217(x22233,x22234,x22231,x22235,x22236,x22237,x22238),f217(x22233,x22234,x22232,x22235,x22236,x22237,x22238)) % 197.39/197.45 [2224]~E(x22241,x22242)+E(f217(x22243,x22244,x22245,x22241,x22246,x22247,x22248),f217(x22243,x22244,x22245,x22242,x22246,x22247,x22248)) % 197.39/197.45 [2225]~E(x22251,x22252)+E(f217(x22253,x22254,x22255,x22256,x22251,x22257,x22258),f217(x22253,x22254,x22255,x22256,x22252,x22257,x22258)) % 197.39/197.45 [2226]~E(x22261,x22262)+E(f217(x22263,x22264,x22265,x22266,x22267,x22261,x22268),f217(x22263,x22264,x22265,x22266,x22267,x22262,x22268)) % 197.39/197.45 [2227]~E(x22271,x22272)+E(f217(x22273,x22274,x22275,x22276,x22277,x22278,x22271),f217(x22273,x22274,x22275,x22276,x22277,x22278,x22272)) % 197.39/197.45 [2228]~E(x22281,x22282)+E(f871(x22281,x22283,x22284),f871(x22282,x22283,x22284)) % 197.39/197.45 [2229]~E(x22291,x22292)+E(f871(x22293,x22291,x22294),f871(x22293,x22292,x22294)) % 197.39/197.45 [2230]~E(x22301,x22302)+E(f871(x22303,x22304,x22301),f871(x22303,x22304,x22302)) % 197.39/197.45 [2231]~E(x22311,x22312)+E(f533(x22311,x22313,x22314),f533(x22312,x22313,x22314)) % 197.39/197.45 [2232]~E(x22321,x22322)+E(f533(x22323,x22321,x22324),f533(x22323,x22322,x22324)) % 197.39/197.45 [2233]~E(x22331,x22332)+E(f533(x22333,x22334,x22331),f533(x22333,x22334,x22332)) % 197.39/197.45 [2234]~E(x22341,x22342)+E(f730(x22341,x22343,x22344),f730(x22342,x22343,x22344)) % 197.39/197.45 [2235]~E(x22351,x22352)+E(f730(x22353,x22351,x22354),f730(x22353,x22352,x22354)) % 197.39/197.45 [2236]~E(x22361,x22362)+E(f730(x22363,x22364,x22361),f730(x22363,x22364,x22362)) % 197.39/197.45 [2237]~E(x22371,x22372)+E(f732(x22371,x22373,x22374),f732(x22372,x22373,x22374)) % 197.39/197.45 [2238]~E(x22381,x22382)+E(f732(x22383,x22381,x22384),f732(x22383,x22382,x22384)) % 197.39/197.45 [2239]~E(x22391,x22392)+E(f732(x22393,x22394,x22391),f732(x22393,x22394,x22392)) % 197.39/197.45 [2240]~E(x22401,x22402)+E(f612(x22401,x22403,x22404),f612(x22402,x22403,x22404)) % 197.39/197.45 [2241]~E(x22411,x22412)+E(f612(x22413,x22411,x22414),f612(x22413,x22412,x22414)) % 197.39/197.45 [2242]~E(x22421,x22422)+E(f612(x22423,x22424,x22421),f612(x22423,x22424,x22422)) % 197.39/197.45 [2243]~E(x22431,x22432)+E(f736(x22431,x22433,x22434,x22435,x22436),f736(x22432,x22433,x22434,x22435,x22436)) % 197.39/197.45 [2244]~E(x22441,x22442)+E(f736(x22443,x22441,x22444,x22445,x22446),f736(x22443,x22442,x22444,x22445,x22446)) % 197.39/197.45 [2245]~E(x22451,x22452)+E(f736(x22453,x22454,x22451,x22455,x22456),f736(x22453,x22454,x22452,x22455,x22456)) % 197.39/197.45 [2246]~E(x22461,x22462)+E(f736(x22463,x22464,x22465,x22461,x22466),f736(x22463,x22464,x22465,x22462,x22466)) % 197.39/197.45 [2247]~E(x22471,x22472)+E(f736(x22473,x22474,x22475,x22476,x22471),f736(x22473,x22474,x22475,x22476,x22472)) % 197.39/197.45 [2248]~E(x22481,x22482)+E(f673(x22481,x22483,x22484),f673(x22482,x22483,x22484)) % 197.39/197.45 [2249]~E(x22491,x22492)+E(f673(x22493,x22491,x22494),f673(x22493,x22492,x22494)) % 197.39/197.45 [2250]~E(x22501,x22502)+E(f673(x22503,x22504,x22501),f673(x22503,x22504,x22502)) % 197.39/197.45 [2251]~E(x22511,x22512)+E(f406(x22511,x22513),f406(x22512,x22513)) % 197.39/197.45 [2252]~E(x22521,x22522)+E(f406(x22523,x22521),f406(x22523,x22522)) % 197.39/197.45 [2253]~E(x22531,x22532)+E(f212(x22531,x22533,x22534,x22535),f212(x22532,x22533,x22534,x22535)) % 197.39/197.45 [2254]~E(x22541,x22542)+E(f212(x22543,x22541,x22544,x22545),f212(x22543,x22542,x22544,x22545)) % 197.39/197.45 [2255]~E(x22551,x22552)+E(f212(x22553,x22554,x22551,x22555),f212(x22553,x22554,x22552,x22555)) % 197.39/197.45 [2256]~E(x22561,x22562)+E(f212(x22563,x22564,x22565,x22561),f212(x22563,x22564,x22565,x22562)) % 197.39/197.45 [2257]~E(x22571,x22572)+E(f720(x22571,x22573,x22574,x22575,x22576),f720(x22572,x22573,x22574,x22575,x22576)) % 197.39/197.45 [2258]~E(x22581,x22582)+E(f720(x22583,x22581,x22584,x22585,x22586),f720(x22583,x22582,x22584,x22585,x22586)) % 197.39/197.45 [2259]~E(x22591,x22592)+E(f720(x22593,x22594,x22591,x22595,x22596),f720(x22593,x22594,x22592,x22595,x22596)) % 197.39/197.45 [2260]~E(x22601,x22602)+E(f720(x22603,x22604,x22605,x22601,x22606),f720(x22603,x22604,x22605,x22602,x22606)) % 197.39/197.45 [2261]~E(x22611,x22612)+E(f720(x22613,x22614,x22615,x22616,x22611),f720(x22613,x22614,x22615,x22616,x22612)) % 197.39/197.45 [2262]~E(x22621,x22622)+E(f475(x22621,x22623,x22624,x22625),f475(x22622,x22623,x22624,x22625)) % 197.39/197.45 [2263]~E(x22631,x22632)+E(f475(x22633,x22631,x22634,x22635),f475(x22633,x22632,x22634,x22635)) % 197.39/197.45 [2264]~E(x22641,x22642)+E(f475(x22643,x22644,x22641,x22645),f475(x22643,x22644,x22642,x22645)) % 197.39/197.45 [2265]~E(x22651,x22652)+E(f475(x22653,x22654,x22655,x22651),f475(x22653,x22654,x22655,x22652)) % 197.39/197.45 [2266]~E(x22661,x22662)+E(f432(x22661,x22663),f432(x22662,x22663)) % 197.39/197.45 [2267]~E(x22671,x22672)+E(f432(x22673,x22671),f432(x22673,x22672)) % 197.39/197.45 [2268]~E(x22681,x22682)+E(f418(x22681),f418(x22682)) % 197.39/197.45 [2269]~E(x22691,x22692)+E(f421(x22691,x22693,x22694,x22695),f421(x22692,x22693,x22694,x22695)) % 197.39/197.45 [2270]~E(x22701,x22702)+E(f421(x22703,x22701,x22704,x22705),f421(x22703,x22702,x22704,x22705)) % 197.39/197.45 [2271]~E(x22711,x22712)+E(f421(x22713,x22714,x22711,x22715),f421(x22713,x22714,x22712,x22715)) % 197.39/197.45 [2272]~E(x22721,x22722)+E(f421(x22723,x22724,x22725,x22721),f421(x22723,x22724,x22725,x22722)) % 197.39/197.45 [2273]~E(x22731,x22732)+E(f515(x22731,x22733,x22734),f515(x22732,x22733,x22734)) % 197.39/197.45 [2274]~E(x22741,x22742)+E(f515(x22743,x22741,x22744),f515(x22743,x22742,x22744)) % 197.39/197.45 [2275]~E(x22751,x22752)+E(f515(x22753,x22754,x22751),f515(x22753,x22754,x22752)) % 197.39/197.45 [2276]~E(x22761,x22762)+E(f326(x22761,x22763,x22764,x22765,x22766),f326(x22762,x22763,x22764,x22765,x22766)) % 197.39/197.45 [2277]~E(x22771,x22772)+E(f326(x22773,x22771,x22774,x22775,x22776),f326(x22773,x22772,x22774,x22775,x22776)) % 197.39/197.45 [2278]~E(x22781,x22782)+E(f326(x22783,x22784,x22781,x22785,x22786),f326(x22783,x22784,x22782,x22785,x22786)) % 197.39/197.45 [2279]~E(x22791,x22792)+E(f326(x22793,x22794,x22795,x22791,x22796),f326(x22793,x22794,x22795,x22792,x22796)) % 197.39/197.45 [2280]~E(x22801,x22802)+E(f326(x22803,x22804,x22805,x22806,x22801),f326(x22803,x22804,x22805,x22806,x22802)) % 197.39/197.45 [2281]~E(x22811,x22812)+E(f829(x22811,x22813,x22814,x22815,x22816),f829(x22812,x22813,x22814,x22815,x22816)) % 197.39/197.45 [2282]~E(x22821,x22822)+E(f829(x22823,x22821,x22824,x22825,x22826),f829(x22823,x22822,x22824,x22825,x22826)) % 197.39/197.45 [2283]~E(x22831,x22832)+E(f829(x22833,x22834,x22831,x22835,x22836),f829(x22833,x22834,x22832,x22835,x22836)) % 197.39/197.45 [2284]~E(x22841,x22842)+E(f829(x22843,x22844,x22845,x22841,x22846),f829(x22843,x22844,x22845,x22842,x22846)) % 197.39/197.45 [2285]~E(x22851,x22852)+E(f829(x22853,x22854,x22855,x22856,x22851),f829(x22853,x22854,x22855,x22856,x22852)) % 197.39/197.45 [2286]~E(x22861,x22862)+E(f707(x22861,x22863,x22864),f707(x22862,x22863,x22864)) % 197.39/197.45 [2287]~E(x22871,x22872)+E(f707(x22873,x22871,x22874),f707(x22873,x22872,x22874)) % 197.39/197.45 [2288]~E(x22881,x22882)+E(f707(x22883,x22884,x22881),f707(x22883,x22884,x22882)) % 197.39/197.45 [2289]~E(x22891,x22892)+E(f466(x22891,x22893),f466(x22892,x22893)) % 197.39/197.45 [2290]~E(x22901,x22902)+E(f466(x22903,x22901),f466(x22903,x22902)) % 197.39/197.45 [2291]~E(x22911,x22912)+E(f750(x22911),f750(x22912)) % 197.39/197.45 [2292]~E(x22921,x22922)+E(f405(x22921,x22923,x22924,x22925),f405(x22922,x22923,x22924,x22925)) % 197.39/197.45 [2293]~E(x22931,x22932)+E(f405(x22933,x22931,x22934,x22935),f405(x22933,x22932,x22934,x22935)) % 197.39/197.45 [2294]~E(x22941,x22942)+E(f405(x22943,x22944,x22941,x22945),f405(x22943,x22944,x22942,x22945)) % 197.39/197.45 [2295]~E(x22951,x22952)+E(f405(x22953,x22954,x22955,x22951),f405(x22953,x22954,x22955,x22952)) % 197.39/197.45 [2296]~E(x22961,x22962)+E(f787(x22961,x22963,x22964,x22965,x22966),f787(x22962,x22963,x22964,x22965,x22966)) % 197.39/197.45 [2297]~E(x22971,x22972)+E(f787(x22973,x22971,x22974,x22975,x22976),f787(x22973,x22972,x22974,x22975,x22976)) % 197.39/197.45 [2298]~E(x22981,x22982)+E(f787(x22983,x22984,x22981,x22985,x22986),f787(x22983,x22984,x22982,x22985,x22986)) % 197.39/197.45 [2299]~E(x22991,x22992)+E(f787(x22993,x22994,x22995,x22991,x22996),f787(x22993,x22994,x22995,x22992,x22996)) % 197.39/197.45 [2300]~E(x23001,x23002)+E(f787(x23003,x23004,x23005,x23006,x23001),f787(x23003,x23004,x23005,x23006,x23002)) % 197.39/197.45 [2301]~E(x23011,x23012)+E(f867(x23011,x23013),f867(x23012,x23013)) % 197.39/197.45 [2302]~E(x23021,x23022)+E(f867(x23023,x23021),f867(x23023,x23022)) % 197.39/197.45 [2303]~E(x23031,x23032)+E(f831(x23031,x23033),f831(x23032,x23033)) % 197.39/197.45 [2304]~E(x23041,x23042)+E(f831(x23043,x23041),f831(x23043,x23042)) % 197.39/197.45 [2305]~E(x23051,x23052)+E(f215(x23051,x23053,x23054,x23055),f215(x23052,x23053,x23054,x23055)) % 197.39/197.45 [2306]~E(x23061,x23062)+E(f215(x23063,x23061,x23064,x23065),f215(x23063,x23062,x23064,x23065)) % 197.39/197.45 [2307]~E(x23071,x23072)+E(f215(x23073,x23074,x23071,x23075),f215(x23073,x23074,x23072,x23075)) % 197.39/197.45 [2308]~E(x23081,x23082)+E(f215(x23083,x23084,x23085,x23081),f215(x23083,x23084,x23085,x23082)) % 197.39/197.45 [2309]~E(x23091,x23092)+E(f413(x23091,x23093,x23094,x23095),f413(x23092,x23093,x23094,x23095)) % 197.39/197.45 [2310]~E(x23101,x23102)+E(f413(x23103,x23101,x23104,x23105),f413(x23103,x23102,x23104,x23105)) % 197.39/197.45 [2311]~E(x23111,x23112)+E(f413(x23113,x23114,x23111,x23115),f413(x23113,x23114,x23112,x23115)) % 197.39/197.45 [2312]~E(x23121,x23122)+E(f413(x23123,x23124,x23125,x23121),f413(x23123,x23124,x23125,x23122)) % 197.39/197.45 [2313]~E(x23131,x23132)+E(f716(x23131,x23133,x23134,x23135,x23136),f716(x23132,x23133,x23134,x23135,x23136)) % 197.39/197.45 [2314]~E(x23141,x23142)+E(f716(x23143,x23141,x23144,x23145,x23146),f716(x23143,x23142,x23144,x23145,x23146)) % 197.39/197.45 [2315]~E(x23151,x23152)+E(f716(x23153,x23154,x23151,x23155,x23156),f716(x23153,x23154,x23152,x23155,x23156)) % 197.39/197.45 [2316]~E(x23161,x23162)+E(f716(x23163,x23164,x23165,x23161,x23166),f716(x23163,x23164,x23165,x23162,x23166)) % 197.39/197.45 [2317]~E(x23171,x23172)+E(f716(x23173,x23174,x23175,x23176,x23171),f716(x23173,x23174,x23175,x23176,x23172)) % 197.39/197.45 [2318]~E(x23181,x23182)+E(f83(x23181,x23183),f83(x23182,x23183)) % 197.39/197.45 [2319]~E(x23191,x23192)+E(f83(x23193,x23191),f83(x23193,x23192)) % 197.39/197.45 [2320]~E(x23201,x23202)+E(f801(x23201,x23203,x23204,x23205,x23206),f801(x23202,x23203,x23204,x23205,x23206)) % 197.39/197.45 [2321]~E(x23211,x23212)+E(f801(x23213,x23211,x23214,x23215,x23216),f801(x23213,x23212,x23214,x23215,x23216)) % 197.39/197.45 [2322]~E(x23221,x23222)+E(f801(x23223,x23224,x23221,x23225,x23226),f801(x23223,x23224,x23222,x23225,x23226)) % 197.39/197.45 [2323]~E(x23231,x23232)+E(f801(x23233,x23234,x23235,x23231,x23236),f801(x23233,x23234,x23235,x23232,x23236)) % 197.39/197.45 [2324]~E(x23241,x23242)+E(f801(x23243,x23244,x23245,x23246,x23241),f801(x23243,x23244,x23245,x23246,x23242)) % 197.39/197.45 [2325]~E(x23251,x23252)+E(f139(x23251,x23253,x23254,x23255),f139(x23252,x23253,x23254,x23255)) % 197.39/197.45 [2326]~E(x23261,x23262)+E(f139(x23263,x23261,x23264,x23265),f139(x23263,x23262,x23264,x23265)) % 197.39/197.45 [2327]~E(x23271,x23272)+E(f139(x23273,x23274,x23271,x23275),f139(x23273,x23274,x23272,x23275)) % 197.39/197.45 [2328]~E(x23281,x23282)+E(f139(x23283,x23284,x23285,x23281),f139(x23283,x23284,x23285,x23282)) % 197.39/197.45 [2329]~E(x23291,x23292)+E(f793(x23291,x23293,x23294,x23295),f793(x23292,x23293,x23294,x23295)) % 197.39/197.45 [2330]~E(x23301,x23302)+E(f793(x23303,x23301,x23304,x23305),f793(x23303,x23302,x23304,x23305)) % 197.39/197.45 [2331]~E(x23311,x23312)+E(f793(x23313,x23314,x23311,x23315),f793(x23313,x23314,x23312,x23315)) % 197.39/197.45 [2332]~E(x23321,x23322)+E(f793(x23323,x23324,x23325,x23321),f793(x23323,x23324,x23325,x23322)) % 197.39/197.45 [2333]~E(x23331,x23332)+E(f704(x23331,x23333,x23334,x23335,x23336,x23337),f704(x23332,x23333,x23334,x23335,x23336,x23337)) % 197.39/197.45 [2334]~E(x23341,x23342)+E(f704(x23343,x23341,x23344,x23345,x23346,x23347),f704(x23343,x23342,x23344,x23345,x23346,x23347)) % 197.39/197.45 [2335]~E(x23351,x23352)+E(f704(x23353,x23354,x23351,x23355,x23356,x23357),f704(x23353,x23354,x23352,x23355,x23356,x23357)) % 197.39/197.45 [2336]~E(x23361,x23362)+E(f704(x23363,x23364,x23365,x23361,x23366,x23367),f704(x23363,x23364,x23365,x23362,x23366,x23367)) % 197.39/197.45 [2337]~E(x23371,x23372)+E(f704(x23373,x23374,x23375,x23376,x23371,x23377),f704(x23373,x23374,x23375,x23376,x23372,x23377)) % 197.39/197.45 [2338]~E(x23381,x23382)+E(f704(x23383,x23384,x23385,x23386,x23387,x23381),f704(x23383,x23384,x23385,x23386,x23387,x23382)) % 197.39/197.45 [2339]~E(x23391,x23392)+E(f858(x23391,x23393,x23394),f858(x23392,x23393,x23394)) % 197.39/197.45 [2340]~E(x23401,x23402)+E(f858(x23403,x23401,x23404),f858(x23403,x23402,x23404)) % 197.39/197.45 [2341]~E(x23411,x23412)+E(f858(x23413,x23414,x23411),f858(x23413,x23414,x23412)) % 197.39/197.45 [2342]~E(x23421,x23422)+E(f781(x23421,x23423,x23424,x23425,x23426),f781(x23422,x23423,x23424,x23425,x23426)) % 197.39/197.45 [2343]~E(x23431,x23432)+E(f781(x23433,x23431,x23434,x23435,x23436),f781(x23433,x23432,x23434,x23435,x23436)) % 197.39/197.45 [2344]~E(x23441,x23442)+E(f781(x23443,x23444,x23441,x23445,x23446),f781(x23443,x23444,x23442,x23445,x23446)) % 197.39/197.45 [2345]~E(x23451,x23452)+E(f781(x23453,x23454,x23455,x23451,x23456),f781(x23453,x23454,x23455,x23452,x23456)) % 197.39/197.45 [2346]~E(x23461,x23462)+E(f781(x23463,x23464,x23465,x23466,x23461),f781(x23463,x23464,x23465,x23466,x23462)) % 197.39/197.45 [2347]~E(x23471,x23472)+E(f325(x23471,x23473,x23474),f325(x23472,x23473,x23474)) % 197.39/197.45 [2348]~E(x23481,x23482)+E(f325(x23483,x23481,x23484),f325(x23483,x23482,x23484)) % 197.39/197.45 [2349]~E(x23491,x23492)+E(f325(x23493,x23494,x23491),f325(x23493,x23494,x23492)) % 197.39/197.45 [2350]~E(x23501,x23502)+E(f396(x23501,x23503,x23504),f396(x23502,x23503,x23504)) % 197.39/197.45 [2351]~E(x23511,x23512)+E(f396(x23513,x23511,x23514),f396(x23513,x23512,x23514)) % 197.39/197.45 [2352]~E(x23521,x23522)+E(f396(x23523,x23524,x23521),f396(x23523,x23524,x23522)) % 197.39/197.45 [2353]~E(x23531,x23532)+E(f534(x23531,x23533,x23534,x23535,x23536),f534(x23532,x23533,x23534,x23535,x23536)) % 197.39/197.45 [2354]~E(x23541,x23542)+E(f534(x23543,x23541,x23544,x23545,x23546),f534(x23543,x23542,x23544,x23545,x23546)) % 197.39/197.45 [2355]~E(x23551,x23552)+E(f534(x23553,x23554,x23551,x23555,x23556),f534(x23553,x23554,x23552,x23555,x23556)) % 197.39/197.45 [2356]~E(x23561,x23562)+E(f534(x23563,x23564,x23565,x23561,x23566),f534(x23563,x23564,x23565,x23562,x23566)) % 197.39/197.45 [2357]~E(x23571,x23572)+E(f534(x23573,x23574,x23575,x23576,x23571),f534(x23573,x23574,x23575,x23576,x23572)) % 197.39/197.45 [2358]~E(x23581,x23582)+E(f661(x23581,x23583),f661(x23582,x23583)) % 197.39/197.45 [2359]~E(x23591,x23592)+E(f661(x23593,x23591),f661(x23593,x23592)) % 197.39/197.45 [2360]~E(x23601,x23602)+E(f765(x23601,x23603,x23604,x23605,x23606),f765(x23602,x23603,x23604,x23605,x23606)) % 197.39/197.45 [2361]~E(x23611,x23612)+E(f765(x23613,x23611,x23614,x23615,x23616),f765(x23613,x23612,x23614,x23615,x23616)) % 197.39/197.45 [2362]~E(x23621,x23622)+E(f765(x23623,x23624,x23621,x23625,x23626),f765(x23623,x23624,x23622,x23625,x23626)) % 197.39/197.45 [2363]~E(x23631,x23632)+E(f765(x23633,x23634,x23635,x23631,x23636),f765(x23633,x23634,x23635,x23632,x23636)) % 197.39/197.45 [2364]~E(x23641,x23642)+E(f765(x23643,x23644,x23645,x23646,x23641),f765(x23643,x23644,x23645,x23646,x23642)) % 197.39/197.45 [2365]~E(x23651,x23652)+E(f496(x23651,x23653,x23654,x23655,x23656),f496(x23652,x23653,x23654,x23655,x23656)) % 197.39/197.45 [2366]~E(x23661,x23662)+E(f496(x23663,x23661,x23664,x23665,x23666),f496(x23663,x23662,x23664,x23665,x23666)) % 197.39/197.45 [2367]~E(x23671,x23672)+E(f496(x23673,x23674,x23671,x23675,x23676),f496(x23673,x23674,x23672,x23675,x23676)) % 197.39/197.45 [2368]~E(x23681,x23682)+E(f496(x23683,x23684,x23685,x23681,x23686),f496(x23683,x23684,x23685,x23682,x23686)) % 197.39/197.45 [2369]~E(x23691,x23692)+E(f496(x23693,x23694,x23695,x23696,x23691),f496(x23693,x23694,x23695,x23696,x23692)) % 197.39/197.45 [2370]~E(x23701,x23702)+E(f290(x23701,x23703,x23704,x23705),f290(x23702,x23703,x23704,x23705)) % 197.39/197.45 [2371]~E(x23711,x23712)+E(f290(x23713,x23711,x23714,x23715),f290(x23713,x23712,x23714,x23715)) % 197.39/197.45 [2372]~E(x23721,x23722)+E(f290(x23723,x23724,x23721,x23725),f290(x23723,x23724,x23722,x23725)) % 197.39/197.45 [2373]~E(x23731,x23732)+E(f290(x23733,x23734,x23735,x23731),f290(x23733,x23734,x23735,x23732)) % 197.39/197.45 [2374]~E(x23741,x23742)+E(f604(x23741,x23743,x23744),f604(x23742,x23743,x23744)) % 197.39/197.45 [2375]~E(x23751,x23752)+E(f604(x23753,x23751,x23754),f604(x23753,x23752,x23754)) % 197.39/197.45 [2376]~E(x23761,x23762)+E(f604(x23763,x23764,x23761),f604(x23763,x23764,x23762)) % 197.39/197.45 [2377]~E(x23771,x23772)+E(f347(x23771,x23773,x23774),f347(x23772,x23773,x23774)) % 197.39/197.45 [2378]~E(x23781,x23782)+E(f347(x23783,x23781,x23784),f347(x23783,x23782,x23784)) % 197.39/197.45 [2379]~E(x23791,x23792)+E(f347(x23793,x23794,x23791),f347(x23793,x23794,x23792)) % 197.39/197.45 [2380]~E(x23801,x23802)+E(f394(x23801,x23803),f394(x23802,x23803)) % 197.39/197.45 [2381]~E(x23811,x23812)+E(f394(x23813,x23811),f394(x23813,x23812)) % 197.39/197.45 [2382]~E(x23821,x23822)+E(f711(x23821,x23823),f711(x23822,x23823)) % 197.39/197.45 [2383]~E(x23831,x23832)+E(f711(x23833,x23831),f711(x23833,x23832)) % 197.39/197.45 [2384]~E(x23841,x23842)+E(f654(x23841,x23843),f654(x23842,x23843)) % 197.39/197.45 [2385]~E(x23851,x23852)+E(f654(x23853,x23851),f654(x23853,x23852)) % 197.39/197.45 [2386]~E(x23861,x23862)+E(f616(x23861,x23863,x23864,x23865),f616(x23862,x23863,x23864,x23865)) % 197.39/197.45 [2387]~E(x23871,x23872)+E(f616(x23873,x23871,x23874,x23875),f616(x23873,x23872,x23874,x23875)) % 197.39/197.45 [2388]~E(x23881,x23882)+E(f616(x23883,x23884,x23881,x23885),f616(x23883,x23884,x23882,x23885)) % 197.39/197.45 [2389]~E(x23891,x23892)+E(f616(x23893,x23894,x23895,x23891),f616(x23893,x23894,x23895,x23892)) % 197.39/197.45 [2390]~E(x23901,x23902)+E(f213(x23901,x23903,x23904,x23905,x23906,x23907,x23908),f213(x23902,x23903,x23904,x23905,x23906,x23907,x23908)) % 197.39/197.45 [2391]~E(x23911,x23912)+E(f213(x23913,x23911,x23914,x23915,x23916,x23917,x23918),f213(x23913,x23912,x23914,x23915,x23916,x23917,x23918)) % 197.39/197.45 [2392]~E(x23921,x23922)+E(f213(x23923,x23924,x23921,x23925,x23926,x23927,x23928),f213(x23923,x23924,x23922,x23925,x23926,x23927,x23928)) % 197.39/197.45 [2393]~E(x23931,x23932)+E(f213(x23933,x23934,x23935,x23931,x23936,x23937,x23938),f213(x23933,x23934,x23935,x23932,x23936,x23937,x23938)) % 197.39/197.45 [2394]~E(x23941,x23942)+E(f213(x23943,x23944,x23945,x23946,x23941,x23947,x23948),f213(x23943,x23944,x23945,x23946,x23942,x23947,x23948)) % 197.39/197.45 [2395]~E(x23951,x23952)+E(f213(x23953,x23954,x23955,x23956,x23957,x23951,x23958),f213(x23953,x23954,x23955,x23956,x23957,x23952,x23958)) % 197.39/197.45 [2396]~E(x23961,x23962)+E(f213(x23963,x23964,x23965,x23966,x23967,x23968,x23961),f213(x23963,x23964,x23965,x23966,x23967,x23968,x23962)) % 197.39/197.45 [2397]~E(x23971,x23972)+E(f627(x23971,x23973,x23974),f627(x23972,x23973,x23974)) % 197.39/197.45 [2398]~E(x23981,x23982)+E(f627(x23983,x23981,x23984),f627(x23983,x23982,x23984)) % 197.39/197.45 [2399]~E(x23991,x23992)+E(f627(x23993,x23994,x23991),f627(x23993,x23994,x23992)) % 197.39/197.45 [2400]~E(x24001,x24002)+E(f493(x24001,x24003,x24004,x24005),f493(x24002,x24003,x24004,x24005)) % 197.39/197.45 [2401]~E(x24011,x24012)+E(f493(x24013,x24011,x24014,x24015),f493(x24013,x24012,x24014,x24015)) % 197.39/197.45 [2402]~E(x24021,x24022)+E(f493(x24023,x24024,x24021,x24025),f493(x24023,x24024,x24022,x24025)) % 197.39/197.45 [2403]~E(x24031,x24032)+E(f493(x24033,x24034,x24035,x24031),f493(x24033,x24034,x24035,x24032)) % 197.39/197.45 [2404]~E(x24041,x24042)+E(f740(x24041,x24043,x24044,x24045),f740(x24042,x24043,x24044,x24045)) % 197.39/197.45 [2405]~E(x24051,x24052)+E(f740(x24053,x24051,x24054,x24055),f740(x24053,x24052,x24054,x24055)) % 197.39/197.45 [2406]~E(x24061,x24062)+E(f740(x24063,x24064,x24061,x24065),f740(x24063,x24064,x24062,x24065)) % 197.39/197.45 [2407]~E(x24071,x24072)+E(f740(x24073,x24074,x24075,x24071),f740(x24073,x24074,x24075,x24072)) % 197.39/197.45 [2408]~E(x24081,x24082)+E(f639(x24081,x24083,x24084),f639(x24082,x24083,x24084)) % 197.39/197.45 [2409]~E(x24091,x24092)+E(f639(x24093,x24091,x24094),f639(x24093,x24092,x24094)) % 197.39/197.45 [2410]~E(x24101,x24102)+E(f639(x24103,x24104,x24101),f639(x24103,x24104,x24102)) % 197.39/197.45 [2411]~E(x24111,x24112)+E(f133(x24111,x24113,x24114,x24115),f133(x24112,x24113,x24114,x24115)) % 197.39/197.45 [2412]~E(x24121,x24122)+E(f133(x24123,x24121,x24124,x24125),f133(x24123,x24122,x24124,x24125)) % 197.39/197.45 [2413]~E(x24131,x24132)+E(f133(x24133,x24134,x24131,x24135),f133(x24133,x24134,x24132,x24135)) % 197.39/197.45 [2414]~E(x24141,x24142)+E(f133(x24143,x24144,x24145,x24141),f133(x24143,x24144,x24145,x24142)) % 197.39/197.45 [2415]~E(x24151,x24152)+E(f354(x24151,x24153,x24154),f354(x24152,x24153,x24154)) % 197.39/197.45 [2416]~E(x24161,x24162)+E(f354(x24163,x24161,x24164),f354(x24163,x24162,x24164)) % 197.39/197.45 [2417]~E(x24171,x24172)+E(f354(x24173,x24174,x24171),f354(x24173,x24174,x24172)) % 197.39/197.45 [2418]~E(x24181,x24182)+E(f766(x24181,x24183,x24184,x24185,x24186),f766(x24182,x24183,x24184,x24185,x24186)) % 197.39/197.45 [2419]~E(x24191,x24192)+E(f766(x24193,x24191,x24194,x24195,x24196),f766(x24193,x24192,x24194,x24195,x24196)) % 197.39/197.45 [2420]~E(x24201,x24202)+E(f766(x24203,x24204,x24201,x24205,x24206),f766(x24203,x24204,x24202,x24205,x24206)) % 197.39/197.45 [2421]~E(x24211,x24212)+E(f766(x24213,x24214,x24215,x24211,x24216),f766(x24213,x24214,x24215,x24212,x24216)) % 197.39/197.45 [2422]~E(x24221,x24222)+E(f766(x24223,x24224,x24225,x24226,x24221),f766(x24223,x24224,x24225,x24226,x24222)) % 197.39/197.45 [2423]~E(x24231,x24232)+E(f379(x24231,x24233,x24234,x24235,x24236,x24237),f379(x24232,x24233,x24234,x24235,x24236,x24237)) % 197.39/197.45 [2424]~E(x24241,x24242)+E(f379(x24243,x24241,x24244,x24245,x24246,x24247),f379(x24243,x24242,x24244,x24245,x24246,x24247)) % 197.39/197.45 [2425]~E(x24251,x24252)+E(f379(x24253,x24254,x24251,x24255,x24256,x24257),f379(x24253,x24254,x24252,x24255,x24256,x24257)) % 197.39/197.45 [2426]~E(x24261,x24262)+E(f379(x24263,x24264,x24265,x24261,x24266,x24267),f379(x24263,x24264,x24265,x24262,x24266,x24267)) % 197.39/197.45 [2427]~E(x24271,x24272)+E(f379(x24273,x24274,x24275,x24276,x24271,x24277),f379(x24273,x24274,x24275,x24276,x24272,x24277)) % 197.39/197.45 [2428]~E(x24281,x24282)+E(f379(x24283,x24284,x24285,x24286,x24287,x24281),f379(x24283,x24284,x24285,x24286,x24287,x24282)) % 197.39/197.45 [2429]~E(x24291,x24292)+E(f424(x24291,x24293,x24294,x24295),f424(x24292,x24293,x24294,x24295)) % 197.39/197.45 [2430]~E(x24301,x24302)+E(f424(x24303,x24301,x24304,x24305),f424(x24303,x24302,x24304,x24305)) % 197.39/197.45 [2431]~E(x24311,x24312)+E(f424(x24313,x24314,x24311,x24315),f424(x24313,x24314,x24312,x24315)) % 197.39/197.45 [2432]~E(x24321,x24322)+E(f424(x24323,x24324,x24325,x24321),f424(x24323,x24324,x24325,x24322)) % 197.39/197.45 [2433]~E(x24331,x24332)+E(f368(x24331,x24333,x24334,x24335),f368(x24332,x24333,x24334,x24335)) % 197.39/197.45 [2434]~E(x24341,x24342)+E(f368(x24343,x24341,x24344,x24345),f368(x24343,x24342,x24344,x24345)) % 197.39/197.45 [2435]~E(x24351,x24352)+E(f368(x24353,x24354,x24351,x24355),f368(x24353,x24354,x24352,x24355)) % 197.39/197.45 [2436]~E(x24361,x24362)+E(f368(x24363,x24364,x24365,x24361),f368(x24363,x24364,x24365,x24362)) % 197.39/197.45 [2437]~E(x24371,x24372)+E(f399(x24371),f399(x24372)) % 197.39/197.45 [2438]~E(x24381,x24382)+E(f449(x24381,x24383,x24384,x24385),f449(x24382,x24383,x24384,x24385)) % 197.39/197.45 [2439]~E(x24391,x24392)+E(f449(x24393,x24391,x24394,x24395),f449(x24393,x24392,x24394,x24395)) % 197.39/197.45 [2440]~E(x24401,x24402)+E(f449(x24403,x24404,x24401,x24405),f449(x24403,x24404,x24402,x24405)) % 197.39/197.45 [2441]~E(x24411,x24412)+E(f449(x24413,x24414,x24415,x24411),f449(x24413,x24414,x24415,x24412)) % 197.39/197.45 [2442]~E(x24421,x24422)+E(f204(x24421,x24423,x24424,x24425),f204(x24422,x24423,x24424,x24425)) % 197.39/197.45 [2443]~E(x24431,x24432)+E(f204(x24433,x24431,x24434,x24435),f204(x24433,x24432,x24434,x24435)) % 197.39/197.45 [2444]~E(x24441,x24442)+E(f204(x24443,x24444,x24441,x24445),f204(x24443,x24444,x24442,x24445)) % 197.39/197.45 [2445]~E(x24451,x24452)+E(f204(x24453,x24454,x24455,x24451),f204(x24453,x24454,x24455,x24452)) % 197.39/197.45 [2446]~E(x24461,x24462)+E(f105(x24461),f105(x24462)) % 197.39/197.45 [2447]~E(x24471,x24472)+E(f273(x24471,x24473,x24474),f273(x24472,x24473,x24474)) % 197.39/197.45 [2448]~E(x24481,x24482)+E(f273(x24483,x24481,x24484),f273(x24483,x24482,x24484)) % 197.39/197.45 [2449]~E(x24491,x24492)+E(f273(x24493,x24494,x24491),f273(x24493,x24494,x24492)) % 197.39/197.45 [2450]~E(x24501,x24502)+E(f659(x24501,x24503),f659(x24502,x24503)) % 197.39/197.45 [2451]~E(x24511,x24512)+E(f659(x24513,x24511),f659(x24513,x24512)) % 197.39/197.45 [2452]~E(x24521,x24522)+E(f567(x24521,x24523,x24524,x24525),f567(x24522,x24523,x24524,x24525)) % 197.39/197.45 [2453]~E(x24531,x24532)+E(f567(x24533,x24531,x24534,x24535),f567(x24533,x24532,x24534,x24535)) % 197.39/197.45 [2454]~E(x24541,x24542)+E(f567(x24543,x24544,x24541,x24545),f567(x24543,x24544,x24542,x24545)) % 197.39/197.45 [2455]~E(x24551,x24552)+E(f567(x24553,x24554,x24555,x24551),f567(x24553,x24554,x24555,x24552)) % 197.39/197.45 [2456]~E(x24561,x24562)+E(f434(x24561,x24563),f434(x24562,x24563)) % 197.39/197.45 [2457]~E(x24571,x24572)+E(f434(x24573,x24571),f434(x24573,x24572)) % 197.39/197.45 [2458]~E(x24581,x24582)+E(f802(x24581,x24583,x24584,x24585,x24586),f802(x24582,x24583,x24584,x24585,x24586)) % 197.39/197.45 [2459]~E(x24591,x24592)+E(f802(x24593,x24591,x24594,x24595,x24596),f802(x24593,x24592,x24594,x24595,x24596)) % 197.39/197.45 [2460]~E(x24601,x24602)+E(f802(x24603,x24604,x24601,x24605,x24606),f802(x24603,x24604,x24602,x24605,x24606)) % 197.39/197.45 [2461]~E(x24611,x24612)+E(f802(x24613,x24614,x24615,x24611,x24616),f802(x24613,x24614,x24615,x24612,x24616)) % 197.39/197.45 [2462]~E(x24621,x24622)+E(f802(x24623,x24624,x24625,x24626,x24621),f802(x24623,x24624,x24625,x24626,x24622)) % 197.39/197.45 [2463]~E(x24631,x24632)+E(f617(x24631,x24633,x24634,x24635,x24636),f617(x24632,x24633,x24634,x24635,x24636)) % 197.39/197.45 [2464]~E(x24641,x24642)+E(f617(x24643,x24641,x24644,x24645,x24646),f617(x24643,x24642,x24644,x24645,x24646)) % 197.39/197.45 [2465]~E(x24651,x24652)+E(f617(x24653,x24654,x24651,x24655,x24656),f617(x24653,x24654,x24652,x24655,x24656)) % 197.39/197.45 [2466]~E(x24661,x24662)+E(f617(x24663,x24664,x24665,x24661,x24666),f617(x24663,x24664,x24665,x24662,x24666)) % 197.39/197.45 [2467]~E(x24671,x24672)+E(f617(x24673,x24674,x24675,x24676,x24671),f617(x24673,x24674,x24675,x24676,x24672)) % 197.39/197.45 [2468]~E(x24681,x24682)+E(f538(x24681,x24683,x24684,x24685),f538(x24682,x24683,x24684,x24685)) % 197.39/197.45 [2469]~E(x24691,x24692)+E(f538(x24693,x24691,x24694,x24695),f538(x24693,x24692,x24694,x24695)) % 197.39/197.45 [2470]~E(x24701,x24702)+E(f538(x24703,x24704,x24701,x24705),f538(x24703,x24704,x24702,x24705)) % 197.39/197.45 [2471]~E(x24711,x24712)+E(f538(x24713,x24714,x24715,x24711),f538(x24713,x24714,x24715,x24712)) % 197.39/197.45 [2472]~E(x24721,x24722)+E(f409(x24721,x24723,x24724,x24725,x24726,x24727,x24728,x24729),f409(x24722,x24723,x24724,x24725,x24726,x24727,x24728,x24729)) % 197.39/197.45 [2473]~E(x24731,x24732)+E(f409(x24733,x24731,x24734,x24735,x24736,x24737,x24738,x24739),f409(x24733,x24732,x24734,x24735,x24736,x24737,x24738,x24739)) % 197.39/197.45 [2474]~E(x24741,x24742)+E(f409(x24743,x24744,x24741,x24745,x24746,x24747,x24748,x24749),f409(x24743,x24744,x24742,x24745,x24746,x24747,x24748,x24749)) % 197.39/197.45 [2475]~E(x24751,x24752)+E(f409(x24753,x24754,x24755,x24751,x24756,x24757,x24758,x24759),f409(x24753,x24754,x24755,x24752,x24756,x24757,x24758,x24759)) % 197.39/197.45 [2476]~E(x24761,x24762)+E(f409(x24763,x24764,x24765,x24766,x24761,x24767,x24768,x24769),f409(x24763,x24764,x24765,x24766,x24762,x24767,x24768,x24769)) % 197.39/197.45 [2477]~E(x24771,x24772)+E(f409(x24773,x24774,x24775,x24776,x24777,x24771,x24778,x24779),f409(x24773,x24774,x24775,x24776,x24777,x24772,x24778,x24779)) % 197.39/197.45 [2478]~E(x24781,x24782)+E(f409(x24783,x24784,x24785,x24786,x24787,x24788,x24781,x24789),f409(x24783,x24784,x24785,x24786,x24787,x24788,x24782,x24789)) % 197.39/197.45 [2479]~E(x24791,x24792)+E(f409(x24793,x24794,x24795,x24796,x24797,x24798,x24799,x24791),f409(x24793,x24794,x24795,x24796,x24797,x24798,x24799,x24792)) % 197.39/197.45 [2480]~E(x24801,x24802)+E(f738(x24801,x24803,x24804),f738(x24802,x24803,x24804)) % 197.39/197.45 [2481]~E(x24811,x24812)+E(f738(x24813,x24811,x24814),f738(x24813,x24812,x24814)) % 197.39/197.45 [2482]~E(x24821,x24822)+E(f738(x24823,x24824,x24821),f738(x24823,x24824,x24822)) % 197.39/197.45 [2483]~E(x24831,x24832)+E(f443(x24831,x24833),f443(x24832,x24833)) % 197.39/197.45 [2484]~E(x24841,x24842)+E(f443(x24843,x24841),f443(x24843,x24842)) % 197.39/197.45 [2485]~E(x24851,x24852)+E(f440(x24851,x24853,x24854),f440(x24852,x24853,x24854)) % 197.39/197.45 [2486]~E(x24861,x24862)+E(f440(x24863,x24861,x24864),f440(x24863,x24862,x24864)) % 197.39/197.45 [2487]~E(x24871,x24872)+E(f440(x24873,x24874,x24871),f440(x24873,x24874,x24872)) % 197.39/197.45 [2488]~E(x24881,x24882)+E(f371(x24881,x24883,x24884),f371(x24882,x24883,x24884)) % 197.39/197.45 [2489]~E(x24891,x24892)+E(f371(x24893,x24891,x24894),f371(x24893,x24892,x24894)) % 197.39/197.45 [2490]~E(x24901,x24902)+E(f371(x24903,x24904,x24901),f371(x24903,x24904,x24902)) % 197.39/197.45 [2491]~E(x24911,x24912)+E(f773(x24911,x24913),f773(x24912,x24913)) % 197.39/197.45 [2492]~E(x24921,x24922)+E(f773(x24923,x24921),f773(x24923,x24922)) % 197.39/197.45 [2493]~E(x24931,x24932)+E(f503(x24931,x24933,x24934,x24935),f503(x24932,x24933,x24934,x24935)) % 197.39/197.45 [2494]~E(x24941,x24942)+E(f503(x24943,x24941,x24944,x24945),f503(x24943,x24942,x24944,x24945)) % 197.39/197.45 [2495]~E(x24951,x24952)+E(f503(x24953,x24954,x24951,x24955),f503(x24953,x24954,x24952,x24955)) % 197.39/197.45 [2496]~E(x24961,x24962)+E(f503(x24963,x24964,x24965,x24961),f503(x24963,x24964,x24965,x24962)) % 197.39/197.45 [2497]~E(x24971,x24972)+E(f398(x24971,x24973,x24974,x24975),f398(x24972,x24973,x24974,x24975)) % 197.39/197.45 [2498]~E(x24981,x24982)+E(f398(x24983,x24981,x24984,x24985),f398(x24983,x24982,x24984,x24985)) % 197.39/197.45 [2499]~E(x24991,x24992)+E(f398(x24993,x24994,x24991,x24995),f398(x24993,x24994,x24992,x24995)) % 197.39/197.45 [2500]~E(x25001,x25002)+E(f398(x25003,x25004,x25005,x25001),f398(x25003,x25004,x25005,x25002)) % 197.39/197.45 [2501]~E(x25011,x25012)+E(f613(x25011,x25013,x25014),f613(x25012,x25013,x25014)) % 197.39/197.45 [2502]~E(x25021,x25022)+E(f613(x25023,x25021,x25024),f613(x25023,x25022,x25024)) % 197.39/197.45 [2503]~E(x25031,x25032)+E(f613(x25033,x25034,x25031),f613(x25033,x25034,x25032)) % 197.39/197.45 [2504]~E(x25041,x25042)+E(f705(x25041,x25043,x25044,x25045,x25046,x25047),f705(x25042,x25043,x25044,x25045,x25046,x25047)) % 197.39/197.45 [2505]~E(x25051,x25052)+E(f705(x25053,x25051,x25054,x25055,x25056,x25057),f705(x25053,x25052,x25054,x25055,x25056,x25057)) % 197.39/197.45 [2506]~E(x25061,x25062)+E(f705(x25063,x25064,x25061,x25065,x25066,x25067),f705(x25063,x25064,x25062,x25065,x25066,x25067)) % 197.39/197.45 [2507]~E(x25071,x25072)+E(f705(x25073,x25074,x25075,x25071,x25076,x25077),f705(x25073,x25074,x25075,x25072,x25076,x25077)) % 197.39/197.45 [2508]~E(x25081,x25082)+E(f705(x25083,x25084,x25085,x25086,x25081,x25087),f705(x25083,x25084,x25085,x25086,x25082,x25087)) % 197.39/197.45 [2509]~E(x25091,x25092)+E(f705(x25093,x25094,x25095,x25096,x25097,x25091),f705(x25093,x25094,x25095,x25096,x25097,x25092)) % 197.39/197.45 [2510]~E(x25101,x25102)+E(f601(x25101,x25103),f601(x25102,x25103)) % 197.39/197.45 [2511]~E(x25111,x25112)+E(f601(x25113,x25111),f601(x25113,x25112)) % 197.39/197.45 [2512]~E(x25121,x25122)+E(f830(x25121,x25123,x25124,x25125,x25126,x25127),f830(x25122,x25123,x25124,x25125,x25126,x25127)) % 197.39/197.45 [2513]~E(x25131,x25132)+E(f830(x25133,x25131,x25134,x25135,x25136,x25137),f830(x25133,x25132,x25134,x25135,x25136,x25137)) % 197.39/197.45 [2514]~E(x25141,x25142)+E(f830(x25143,x25144,x25141,x25145,x25146,x25147),f830(x25143,x25144,x25142,x25145,x25146,x25147)) % 197.39/197.45 [2515]~E(x25151,x25152)+E(f830(x25153,x25154,x25155,x25151,x25156,x25157),f830(x25153,x25154,x25155,x25152,x25156,x25157)) % 197.39/197.45 [2516]~E(x25161,x25162)+E(f830(x25163,x25164,x25165,x25166,x25161,x25167),f830(x25163,x25164,x25165,x25166,x25162,x25167)) % 197.39/197.45 [2517]~E(x25171,x25172)+E(f830(x25173,x25174,x25175,x25176,x25177,x25171),f830(x25173,x25174,x25175,x25176,x25177,x25172)) % 197.39/197.45 [2518]~E(x25181,x25182)+E(f742(x25181,x25183,x25184),f742(x25182,x25183,x25184)) % 197.39/197.45 [2519]~E(x25191,x25192)+E(f742(x25193,x25191,x25194),f742(x25193,x25192,x25194)) % 197.39/197.45 [2520]~E(x25201,x25202)+E(f742(x25203,x25204,x25201),f742(x25203,x25204,x25202)) % 197.39/197.45 [2521]~E(x25211,x25212)+E(f412(x25211,x25213),f412(x25212,x25213)) % 197.39/197.45 [2522]~E(x25221,x25222)+E(f412(x25223,x25221),f412(x25223,x25222)) % 197.39/197.45 [2523]~E(x25231,x25232)+E(f868(x25231,x25233,x25234),f868(x25232,x25233,x25234)) % 197.39/197.45 [2524]~E(x25241,x25242)+E(f868(x25243,x25241,x25244),f868(x25243,x25242,x25244)) % 197.39/197.45 [2525]~E(x25251,x25252)+E(f868(x25253,x25254,x25251),f868(x25253,x25254,x25252)) % 197.39/197.45 [2526]~E(x25261,x25262)+E(f438(x25261,x25263),f438(x25262,x25263)) % 197.39/197.45 [2527]~E(x25271,x25272)+E(f438(x25273,x25271),f438(x25273,x25272)) % 197.39/197.45 [2528]~E(x25281,x25282)+E(f746(x25281,x25283,x25284,x25285),f746(x25282,x25283,x25284,x25285)) % 197.39/197.45 [2529]~E(x25291,x25292)+E(f746(x25293,x25291,x25294,x25295),f746(x25293,x25292,x25294,x25295)) % 197.39/197.45 [2530]~E(x25301,x25302)+E(f746(x25303,x25304,x25301,x25305),f746(x25303,x25304,x25302,x25305)) % 197.39/197.45 [2531]~E(x25311,x25312)+E(f746(x25313,x25314,x25315,x25311),f746(x25313,x25314,x25315,x25312)) % 197.39/197.45 [2532]~E(x25321,x25322)+E(f546(x25321,x25323,x25324),f546(x25322,x25323,x25324)) % 197.39/197.45 [2533]~E(x25331,x25332)+E(f546(x25333,x25331,x25334),f546(x25333,x25332,x25334)) % 197.39/197.45 [2534]~E(x25341,x25342)+E(f546(x25343,x25344,x25341),f546(x25343,x25344,x25342)) % 197.39/197.45 [2535]~E(x25351,x25352)+E(f427(x25351,x25353,x25354,x25355,x25356,x25357),f427(x25352,x25353,x25354,x25355,x25356,x25357)) % 197.39/197.45 [2536]~E(x25361,x25362)+E(f427(x25363,x25361,x25364,x25365,x25366,x25367),f427(x25363,x25362,x25364,x25365,x25366,x25367)) % 197.39/197.45 [2537]~E(x25371,x25372)+E(f427(x25373,x25374,x25371,x25375,x25376,x25377),f427(x25373,x25374,x25372,x25375,x25376,x25377)) % 197.39/197.45 [2538]~E(x25381,x25382)+E(f427(x25383,x25384,x25385,x25381,x25386,x25387),f427(x25383,x25384,x25385,x25382,x25386,x25387)) % 197.39/197.45 [2539]~E(x25391,x25392)+E(f427(x25393,x25394,x25395,x25396,x25391,x25397),f427(x25393,x25394,x25395,x25396,x25392,x25397)) % 197.39/197.45 [2540]~E(x25401,x25402)+E(f427(x25403,x25404,x25405,x25406,x25407,x25401),f427(x25403,x25404,x25405,x25406,x25407,x25402)) % 197.39/197.45 [2541]~E(x25411,x25412)+E(f465(x25411,x25413,x25414),f465(x25412,x25413,x25414)) % 197.39/197.45 [2542]~E(x25421,x25422)+E(f465(x25423,x25421,x25424),f465(x25423,x25422,x25424)) % 197.39/197.45 [2543]~E(x25431,x25432)+E(f465(x25433,x25434,x25431),f465(x25433,x25434,x25432)) % 197.39/197.45 [2544]~E(x25441,x25442)+E(f372(x25441,x25443,x25444),f372(x25442,x25443,x25444)) % 197.39/197.45 [2545]~E(x25451,x25452)+E(f372(x25453,x25451,x25454),f372(x25453,x25452,x25454)) % 197.39/197.45 [2546]~E(x25461,x25462)+E(f372(x25463,x25464,x25461),f372(x25463,x25464,x25462)) % 197.39/197.45 [2547]~E(x25471,x25472)+E(f680(x25471,x25473,x25474,x25475,x25476,x25477),f680(x25472,x25473,x25474,x25475,x25476,x25477)) % 197.39/197.45 [2548]~E(x25481,x25482)+E(f680(x25483,x25481,x25484,x25485,x25486,x25487),f680(x25483,x25482,x25484,x25485,x25486,x25487)) % 197.39/197.45 [2549]~E(x25491,x25492)+E(f680(x25493,x25494,x25491,x25495,x25496,x25497),f680(x25493,x25494,x25492,x25495,x25496,x25497)) % 197.39/197.45 [2550]~E(x25501,x25502)+E(f680(x25503,x25504,x25505,x25501,x25506,x25507),f680(x25503,x25504,x25505,x25502,x25506,x25507)) % 197.39/197.45 [2551]~E(x25511,x25512)+E(f680(x25513,x25514,x25515,x25516,x25511,x25517),f680(x25513,x25514,x25515,x25516,x25512,x25517)) % 197.39/197.45 [2552]~E(x25521,x25522)+E(f680(x25523,x25524,x25525,x25526,x25527,x25521),f680(x25523,x25524,x25525,x25526,x25527,x25522)) % 197.39/197.45 [2553]~E(x25531,x25532)+E(f662(x25531,x25533),f662(x25532,x25533)) % 197.39/197.45 [2554]~E(x25541,x25542)+E(f662(x25543,x25541),f662(x25543,x25542)) % 197.39/197.45 [2555]~E(x25551,x25552)+E(f234(x25551,x25553,x25554,x25555,x25556),f234(x25552,x25553,x25554,x25555,x25556)) % 197.39/197.45 [2556]~E(x25561,x25562)+E(f234(x25563,x25561,x25564,x25565,x25566),f234(x25563,x25562,x25564,x25565,x25566)) % 197.39/197.45 [2557]~E(x25571,x25572)+E(f234(x25573,x25574,x25571,x25575,x25576),f234(x25573,x25574,x25572,x25575,x25576)) % 197.39/197.45 [2558]~E(x25581,x25582)+E(f234(x25583,x25584,x25585,x25581,x25586),f234(x25583,x25584,x25585,x25582,x25586)) % 197.39/197.45 [2559]~E(x25591,x25592)+E(f234(x25593,x25594,x25595,x25596,x25591),f234(x25593,x25594,x25595,x25596,x25592)) % 197.39/197.45 [2560]~E(x25601,x25602)+E(f455(x25601,x25603,x25604),f455(x25602,x25603,x25604)) % 197.39/197.45 [2561]~E(x25611,x25612)+E(f455(x25613,x25611,x25614),f455(x25613,x25612,x25614)) % 197.39/197.45 [2562]~E(x25621,x25622)+E(f455(x25623,x25624,x25621),f455(x25623,x25624,x25622)) % 197.39/197.45 [2563]~E(x25631,x25632)+E(f140(x25631),f140(x25632)) % 197.39/197.45 [2564]~E(x25641,x25642)+E(f701(x25641,x25643),f701(x25642,x25643)) % 197.39/197.45 [2565]~E(x25651,x25652)+E(f701(x25653,x25651),f701(x25653,x25652)) % 197.39/197.45 [2566]~E(x25661,x25662)+E(f402(x25661,x25663,x25664,x25665),f402(x25662,x25663,x25664,x25665)) % 197.39/197.45 [2567]~E(x25671,x25672)+E(f402(x25673,x25671,x25674,x25675),f402(x25673,x25672,x25674,x25675)) % 197.39/197.45 [2568]~E(x25681,x25682)+E(f402(x25683,x25684,x25681,x25685),f402(x25683,x25684,x25682,x25685)) % 197.39/197.45 [2569]~E(x25691,x25692)+E(f402(x25693,x25694,x25695,x25691),f402(x25693,x25694,x25695,x25692)) % 197.39/197.45 [2570]~E(x25701,x25702)+E(f734(x25701,x25703,x25704),f734(x25702,x25703,x25704)) % 197.39/197.45 [2571]~E(x25711,x25712)+E(f734(x25713,x25711,x25714),f734(x25713,x25712,x25714)) % 197.39/197.45 [2572]~E(x25721,x25722)+E(f734(x25723,x25724,x25721),f734(x25723,x25724,x25722)) % 197.39/197.45 [2573]~E(x25731,x25732)+E(f575(x25731,x25733,x25734,x25735),f575(x25732,x25733,x25734,x25735)) % 197.39/197.45 [2574]~E(x25741,x25742)+E(f575(x25743,x25741,x25744,x25745),f575(x25743,x25742,x25744,x25745)) % 197.39/197.45 [2575]~E(x25751,x25752)+E(f575(x25753,x25754,x25751,x25755),f575(x25753,x25754,x25752,x25755)) % 197.39/197.45 [2576]~E(x25761,x25762)+E(f575(x25763,x25764,x25765,x25761),f575(x25763,x25764,x25765,x25762)) % 197.39/197.45 [2577]~E(x25771,x25772)+E(f240(x25771,x25773,x25774,x25775,x25776),f240(x25772,x25773,x25774,x25775,x25776)) % 197.39/197.45 [2578]~E(x25781,x25782)+E(f240(x25783,x25781,x25784,x25785,x25786),f240(x25783,x25782,x25784,x25785,x25786)) % 197.39/197.45 [2579]~E(x25791,x25792)+E(f240(x25793,x25794,x25791,x25795,x25796),f240(x25793,x25794,x25792,x25795,x25796)) % 197.39/197.45 [2580]~E(x25801,x25802)+E(f240(x25803,x25804,x25805,x25801,x25806),f240(x25803,x25804,x25805,x25802,x25806)) % 197.39/197.45 [2581]~E(x25811,x25812)+E(f240(x25813,x25814,x25815,x25816,x25811),f240(x25813,x25814,x25815,x25816,x25812)) % 197.39/197.45 [2582]~E(x25821,x25822)+E(f286(x25821,x25823,x25824,x25825),f286(x25822,x25823,x25824,x25825)) % 197.39/197.45 [2583]~E(x25831,x25832)+E(f286(x25833,x25831,x25834,x25835),f286(x25833,x25832,x25834,x25835)) % 197.39/197.45 [2584]~E(x25841,x25842)+E(f286(x25843,x25844,x25841,x25845),f286(x25843,x25844,x25842,x25845)) % 197.39/197.45 [2585]~E(x25851,x25852)+E(f286(x25853,x25854,x25855,x25851),f286(x25853,x25854,x25855,x25852)) % 197.39/197.45 [2586]~E(x25861,x25862)+E(f665(x25861),f665(x25862)) % 197.39/197.45 [2587]~E(x25871,x25872)+E(f236(x25871,x25873,x25874,x25875),f236(x25872,x25873,x25874,x25875)) % 197.39/197.45 [2588]~E(x25881,x25882)+E(f236(x25883,x25881,x25884,x25885),f236(x25883,x25882,x25884,x25885)) % 197.39/197.45 [2589]~E(x25891,x25892)+E(f236(x25893,x25894,x25891,x25895),f236(x25893,x25894,x25892,x25895)) % 197.39/197.45 [2590]~E(x25901,x25902)+E(f236(x25903,x25904,x25905,x25901),f236(x25903,x25904,x25905,x25902)) % 197.39/197.45 [2591]~E(x25911,x25912)+E(f501(x25911,x25913,x25914,x25915,x25916),f501(x25912,x25913,x25914,x25915,x25916)) % 197.39/197.45 [2592]~E(x25921,x25922)+E(f501(x25923,x25921,x25924,x25925,x25926),f501(x25923,x25922,x25924,x25925,x25926)) % 197.39/197.45 [2593]~E(x25931,x25932)+E(f501(x25933,x25934,x25931,x25935,x25936),f501(x25933,x25934,x25932,x25935,x25936)) % 197.39/197.45 [2594]~E(x25941,x25942)+E(f501(x25943,x25944,x25945,x25941,x25946),f501(x25943,x25944,x25945,x25942,x25946)) % 197.39/197.45 [2595]~E(x25951,x25952)+E(f501(x25953,x25954,x25955,x25956,x25951),f501(x25953,x25954,x25955,x25956,x25952)) % 197.39/197.45 [2596]~E(x25961,x25962)+E(f426(x25961,x25963,x25964,x25965,x25966,x25967),f426(x25962,x25963,x25964,x25965,x25966,x25967)) % 197.39/197.45 [2597]~E(x25971,x25972)+E(f426(x25973,x25971,x25974,x25975,x25976,x25977),f426(x25973,x25972,x25974,x25975,x25976,x25977)) % 197.39/197.45 [2598]~E(x25981,x25982)+E(f426(x25983,x25984,x25981,x25985,x25986,x25987),f426(x25983,x25984,x25982,x25985,x25986,x25987)) % 197.39/197.45 [2599]~E(x25991,x25992)+E(f426(x25993,x25994,x25995,x25991,x25996,x25997),f426(x25993,x25994,x25995,x25992,x25996,x25997)) % 197.39/197.45 [2600]~E(x26001,x26002)+E(f426(x26003,x26004,x26005,x26006,x26001,x26007),f426(x26003,x26004,x26005,x26006,x26002,x26007)) % 197.39/197.45 [2601]~E(x26011,x26012)+E(f426(x26013,x26014,x26015,x26016,x26017,x26011),f426(x26013,x26014,x26015,x26016,x26017,x26012)) % 197.39/197.45 [2602]~E(x26021,x26022)+E(f414(x26021),f414(x26022)) % 197.39/197.45 [2603]~E(x26031,x26032)+E(f512(x26031,x26033),f512(x26032,x26033)) % 197.39/197.45 [2604]~E(x26041,x26042)+E(f512(x26043,x26041),f512(x26043,x26042)) % 197.39/197.45 [2605]~E(x26051,x26052)+E(f397(x26051,x26053,x26054,x26055),f397(x26052,x26053,x26054,x26055)) % 197.39/197.45 [2606]~E(x26061,x26062)+E(f397(x26063,x26061,x26064,x26065),f397(x26063,x26062,x26064,x26065)) % 197.39/197.45 [2607]~E(x26071,x26072)+E(f397(x26073,x26074,x26071,x26075),f397(x26073,x26074,x26072,x26075)) % 197.39/197.45 [2608]~E(x26081,x26082)+E(f397(x26083,x26084,x26085,x26081),f397(x26083,x26084,x26085,x26082)) % 197.39/197.45 [2609]~E(x26091,x26092)+E(f569(x26091,x26093,x26094,x26095),f569(x26092,x26093,x26094,x26095)) % 197.39/197.45 [2610]~E(x26101,x26102)+E(f569(x26103,x26101,x26104,x26105),f569(x26103,x26102,x26104,x26105)) % 197.39/197.45 [2611]~E(x26111,x26112)+E(f569(x26113,x26114,x26111,x26115),f569(x26113,x26114,x26112,x26115)) % 197.39/197.45 [2612]~E(x26121,x26122)+E(f569(x26123,x26124,x26125,x26121),f569(x26123,x26124,x26125,x26122)) % 197.39/197.45 [2613]~E(x26131,x26132)+E(f640(x26131),f640(x26132)) % 197.39/197.45 [2614]~E(x26141,x26142)+E(f844(x26141,x26143),f844(x26142,x26143)) % 197.39/197.45 [2615]~E(x26151,x26152)+E(f844(x26153,x26151),f844(x26153,x26152)) % 197.39/197.45 [2616]~E(x26161,x26162)+E(f477(x26161,x26163,x26164,x26165),f477(x26162,x26163,x26164,x26165)) % 197.39/197.45 [2617]~E(x26171,x26172)+E(f477(x26173,x26171,x26174,x26175),f477(x26173,x26172,x26174,x26175)) % 197.39/197.45 [2618]~E(x26181,x26182)+E(f477(x26183,x26184,x26181,x26185),f477(x26183,x26184,x26182,x26185)) % 197.39/197.45 [2619]~E(x26191,x26192)+E(f477(x26193,x26194,x26195,x26191),f477(x26193,x26194,x26195,x26192)) % 197.39/197.45 [2620]~E(x26201,x26202)+E(f233(x26201,x26203,x26204,x26205,x26206),f233(x26202,x26203,x26204,x26205,x26206)) % 197.39/197.45 [2621]~E(x26211,x26212)+E(f233(x26213,x26211,x26214,x26215,x26216),f233(x26213,x26212,x26214,x26215,x26216)) % 197.39/197.45 [2622]~E(x26221,x26222)+E(f233(x26223,x26224,x26221,x26225,x26226),f233(x26223,x26224,x26222,x26225,x26226)) % 197.39/197.45 [2623]~E(x26231,x26232)+E(f233(x26233,x26234,x26235,x26231,x26236),f233(x26233,x26234,x26235,x26232,x26236)) % 197.39/197.45 [2624]~E(x26241,x26242)+E(f233(x26243,x26244,x26245,x26246,x26241),f233(x26243,x26244,x26245,x26246,x26242)) % 197.39/197.45 [2625]~E(x26251,x26252)+E(f842(x26251),f842(x26252)) % 197.39/197.45 [2626]~E(x26261,x26262)+E(f253(x26261,x26263,x26264,x26265,x26266,x26267),f253(x26262,x26263,x26264,x26265,x26266,x26267)) % 197.39/197.45 [2627]~E(x26271,x26272)+E(f253(x26273,x26271,x26274,x26275,x26276,x26277),f253(x26273,x26272,x26274,x26275,x26276,x26277)) % 197.39/197.45 [2628]~E(x26281,x26282)+E(f253(x26283,x26284,x26281,x26285,x26286,x26287),f253(x26283,x26284,x26282,x26285,x26286,x26287)) % 197.39/197.45 [2629]~E(x26291,x26292)+E(f253(x26293,x26294,x26295,x26291,x26296,x26297),f253(x26293,x26294,x26295,x26292,x26296,x26297)) % 197.39/197.45 [2630]~E(x26301,x26302)+E(f253(x26303,x26304,x26305,x26306,x26301,x26307),f253(x26303,x26304,x26305,x26306,x26302,x26307)) % 197.39/197.45 [2631]~E(x26311,x26312)+E(f253(x26313,x26314,x26315,x26316,x26317,x26311),f253(x26313,x26314,x26315,x26316,x26317,x26312)) % 197.39/197.45 [2632]~E(x26321,x26322)+E(f602(x26321),f602(x26322)) % 197.39/197.45 [2633]~E(x26331,x26332)+E(f839(x26331),f839(x26332)) % 197.39/197.45 [2634]~E(x26341,x26342)+E(f395(x26341),f395(x26342)) % 197.39/197.45 [2635]~E(x26351,x26352)+E(f845(x26351,x26353),f845(x26352,x26353)) % 197.39/197.45 [2636]~E(x26361,x26362)+E(f845(x26363,x26361),f845(x26363,x26362)) % 197.39/197.45 [2637]~E(x26371,x26372)+E(f484(x26371,x26373,x26374),f484(x26372,x26373,x26374)) % 197.39/197.45 [2638]~E(x26381,x26382)+E(f484(x26383,x26381,x26384),f484(x26383,x26382,x26384)) % 197.39/197.45 [2639]~E(x26391,x26392)+E(f484(x26393,x26394,x26391),f484(x26393,x26394,x26392)) % 197.39/197.45 [2640]~E(x26401,x26402)+E(f767(x26401,x26403,x26404,x26405,x26406),f767(x26402,x26403,x26404,x26405,x26406)) % 197.39/197.45 [2641]~E(x26411,x26412)+E(f767(x26413,x26411,x26414,x26415,x26416),f767(x26413,x26412,x26414,x26415,x26416)) % 197.39/197.45 [2642]~E(x26421,x26422)+E(f767(x26423,x26424,x26421,x26425,x26426),f767(x26423,x26424,x26422,x26425,x26426)) % 197.39/197.45 [2643]~E(x26431,x26432)+E(f767(x26433,x26434,x26435,x26431,x26436),f767(x26433,x26434,x26435,x26432,x26436)) % 197.39/197.45 [2644]~E(x26441,x26442)+E(f767(x26443,x26444,x26445,x26446,x26441),f767(x26443,x26444,x26445,x26446,x26442)) % 197.39/197.45 [2645]~E(x26451,x26452)+E(f24(x26451,x26453),f24(x26452,x26453)) % 197.39/197.45 [2646]~E(x26461,x26462)+E(f24(x26463,x26461),f24(x26463,x26462)) % 197.39/197.45 [2647]~E(x26471,x26472)+E(f400(x26471,x26473),f400(x26472,x26473)) % 197.39/197.45 [2648]~E(x26481,x26482)+E(f400(x26483,x26481),f400(x26483,x26482)) % 197.39/197.45 [2649]~E(x26491,x26492)+E(f818(x26491),f818(x26492)) % 197.39/197.45 [2650]~E(x26501,x26502)+E(f265(x26501,x26503,x26504,x26505,x26506),f265(x26502,x26503,x26504,x26505,x26506)) % 197.39/197.45 [2651]~E(x26511,x26512)+E(f265(x26513,x26511,x26514,x26515,x26516),f265(x26513,x26512,x26514,x26515,x26516)) % 197.39/197.45 [2652]~E(x26521,x26522)+E(f265(x26523,x26524,x26521,x26525,x26526),f265(x26523,x26524,x26522,x26525,x26526)) % 197.39/197.45 [2653]~E(x26531,x26532)+E(f265(x26533,x26534,x26535,x26531,x26536),f265(x26533,x26534,x26535,x26532,x26536)) % 197.39/197.45 [2654]~E(x26541,x26542)+E(f265(x26543,x26544,x26545,x26546,x26541),f265(x26543,x26544,x26545,x26546,x26542)) % 197.39/197.45 [2655]~E(x26551,x26552)+E(f235(x26551,x26553,x26554,x26555,x26556),f235(x26552,x26553,x26554,x26555,x26556)) % 197.39/197.45 [2656]~E(x26561,x26562)+E(f235(x26563,x26561,x26564,x26565,x26566),f235(x26563,x26562,x26564,x26565,x26566)) % 197.39/197.45 [2657]~E(x26571,x26572)+E(f235(x26573,x26574,x26571,x26575,x26576),f235(x26573,x26574,x26572,x26575,x26576)) % 197.39/197.45 [2658]~E(x26581,x26582)+E(f235(x26583,x26584,x26585,x26581,x26586),f235(x26583,x26584,x26585,x26582,x26586)) % 197.39/197.45 [2659]~E(x26591,x26592)+E(f235(x26593,x26594,x26595,x26596,x26591),f235(x26593,x26594,x26595,x26596,x26592)) % 197.39/197.45 [2660]~P1(x26601)+P1(x26602)+~E(x26601,x26602) % 197.39/197.45 [2661]~P2(x26611)+P2(x26612)+~E(x26611,x26612) % 197.39/197.45 [2662]~P101(x26621)+P101(x26622)+~E(x26621,x26622) % 197.39/197.45 [2663]P16(x26632,x26633)+~E(x26631,x26632)+~P16(x26631,x26633) % 197.39/197.45 [2664]P16(x26643,x26642)+~E(x26641,x26642)+~P16(x26643,x26641) % 197.39/197.45 [2665]~P3(x26651)+P3(x26652)+~E(x26651,x26652) % 197.39/197.45 [2666]~P105(x26661)+P105(x26662)+~E(x26661,x26662) % 197.39/197.45 [2667]P44(x26672,x26673,x26674,x26675)+~E(x26671,x26672)+~P44(x26671,x26673,x26674,x26675) % 197.39/197.45 [2668]P44(x26683,x26682,x26684,x26685)+~E(x26681,x26682)+~P44(x26683,x26681,x26684,x26685) % 197.39/197.45 [2669]P44(x26693,x26694,x26692,x26695)+~E(x26691,x26692)+~P44(x26693,x26694,x26691,x26695) % 197.39/197.45 [2670]P44(x26703,x26704,x26705,x26702)+~E(x26701,x26702)+~P44(x26703,x26704,x26705,x26701) % 197.39/197.45 [2671]~P87(x26711)+P87(x26712)+~E(x26711,x26712) % 197.39/197.45 [2672]~P4(x26721)+P4(x26722)+~E(x26721,x26722) % 197.39/197.45 [2673]~P78(x26731)+P78(x26732)+~E(x26731,x26732) % 197.39/197.45 [2674]~P82(x26741)+P82(x26742)+~E(x26741,x26742) % 197.39/197.45 [2675]~P5(x26751)+P5(x26752)+~E(x26751,x26752) % 197.39/197.45 [2676]P142(x26762,x26763,x26764)+~E(x26761,x26762)+~P142(x26761,x26763,x26764) % 197.39/197.45 [2677]P142(x26773,x26772,x26774)+~E(x26771,x26772)+~P142(x26773,x26771,x26774) % 197.39/197.45 [2678]P142(x26783,x26784,x26782)+~E(x26781,x26782)+~P142(x26783,x26784,x26781) % 197.39/197.45 [2679]P143(x26792,x26793,x26794)+~E(x26791,x26792)+~P143(x26791,x26793,x26794) % 197.39/197.45 [2680]P143(x26803,x26802,x26804)+~E(x26801,x26802)+~P143(x26803,x26801,x26804) % 197.39/197.45 [2681]P143(x26813,x26814,x26812)+~E(x26811,x26812)+~P143(x26813,x26814,x26811) % 197.39/197.45 [2682]~P6(x26821)+P6(x26822)+~E(x26821,x26822) % 197.39/197.45 [2683]P18(x26832,x26833,x26834,x26835)+~E(x26831,x26832)+~P18(x26831,x26833,x26834,x26835) % 197.39/197.45 [2684]P18(x26843,x26842,x26844,x26845)+~E(x26841,x26842)+~P18(x26843,x26841,x26844,x26845) % 197.39/197.45 [2685]P18(x26853,x26854,x26852,x26855)+~E(x26851,x26852)+~P18(x26853,x26854,x26851,x26855) % 197.39/197.45 [2686]P18(x26863,x26864,x26865,x26862)+~E(x26861,x26862)+~P18(x26863,x26864,x26865,x26861) % 197.39/197.45 [2687]~P108(x26871)+P108(x26872)+~E(x26871,x26872) % 197.39/197.45 [2688]~P69(x26881)+P69(x26882)+~E(x26881,x26882) % 197.39/197.45 [2689]~P106(x26891)+P106(x26892)+~E(x26891,x26892) % 197.39/197.45 [2690]~P64(x26901)+P64(x26902)+~E(x26901,x26902) % 197.39/197.45 [2691]~P70(x26911)+P70(x26912)+~E(x26911,x26912) % 197.39/197.45 [2692]P46(x26922,x26923,x26924)+~E(x26921,x26922)+~P46(x26921,x26923,x26924) % 197.39/197.45 [2693]P46(x26933,x26932,x26934)+~E(x26931,x26932)+~P46(x26933,x26931,x26934) % 197.39/197.45 [2694]P46(x26943,x26944,x26942)+~E(x26941,x26942)+~P46(x26943,x26944,x26941) % 197.39/197.45 [2695]P20(x26952,x26953)+~E(x26951,x26952)+~P20(x26951,x26953) % 197.39/197.45 [2696]P20(x26963,x26962)+~E(x26961,x26962)+~P20(x26963,x26961) % 197.39/197.45 [2697]~P71(x26971)+P71(x26972)+~E(x26971,x26972) % 197.39/197.45 [2698]~P129(x26981)+P129(x26982)+~E(x26981,x26982) % 197.39/197.45 [2699]~P122(x26991)+P122(x26992)+~E(x26991,x26992) % 197.39/197.45 [2700]~P66(x27001)+P66(x27002)+~E(x27001,x27002) % 197.39/197.45 [2701]~P140(x27011)+P140(x27012)+~E(x27011,x27012) % 197.39/197.45 [2702]~P121(x27021)+P121(x27022)+~E(x27021,x27022) % 197.39/197.45 [2703]~P88(x27031)+P88(x27032)+~E(x27031,x27032) % 197.39/197.45 [2704]~P113(x27041)+P113(x27042)+~E(x27041,x27042) % 197.39/197.45 [2705]~P76(x27051)+P76(x27052)+~E(x27051,x27052) % 197.39/197.45 [2706]~P59(x27061)+P59(x27062)+~E(x27061,x27062) % 197.39/197.45 [2707]~P36(x27071)+P36(x27072)+~E(x27071,x27072) % 197.39/197.45 [2708]~P141(x27081)+P141(x27082)+~E(x27081,x27082) % 197.39/197.45 [2709]~P65(x27091)+P65(x27092)+~E(x27091,x27092) % 197.39/197.45 [2710]~P100(x27101)+P100(x27102)+~E(x27101,x27102) % 197.39/197.45 [2711]~P114(x27111)+P114(x27112)+~E(x27111,x27112) % 197.39/197.45 [2712]~P125(x27121)+P125(x27122)+~E(x27121,x27122) % 197.39/197.45 [2713]~P127(x27131)+P127(x27132)+~E(x27131,x27132) % 197.39/197.45 [2714]P49(x27142,x27143,x27144,x27145)+~E(x27141,x27142)+~P49(x27141,x27143,x27144,x27145) % 197.39/197.45 [2715]P49(x27153,x27152,x27154,x27155)+~E(x27151,x27152)+~P49(x27153,x27151,x27154,x27155) % 197.39/197.45 [2716]P49(x27163,x27164,x27162,x27165)+~E(x27161,x27162)+~P49(x27163,x27164,x27161,x27165) % 197.39/197.45 [2717]P49(x27173,x27174,x27175,x27172)+~E(x27171,x27172)+~P49(x27173,x27174,x27175,x27171) % 197.39/197.45 [2718]~P91(x27181)+P91(x27182)+~E(x27181,x27182) % 197.39/197.45 [2719]P22(x27192,x27193,x27194)+~E(x27191,x27192)+~P22(x27191,x27193,x27194) % 197.39/197.45 [2720]P22(x27203,x27202,x27204)+~E(x27201,x27202)+~P22(x27203,x27201,x27204) % 197.39/197.45 [2721]P22(x27213,x27214,x27212)+~E(x27211,x27212)+~P22(x27213,x27214,x27211) % 197.39/197.45 [2722]P23(x27222,x27223,x27224,x27225)+~E(x27221,x27222)+~P23(x27221,x27223,x27224,x27225) % 197.39/197.45 [2723]P23(x27233,x27232,x27234,x27235)+~E(x27231,x27232)+~P23(x27233,x27231,x27234,x27235) % 197.39/197.45 [2724]P23(x27243,x27244,x27242,x27245)+~E(x27241,x27242)+~P23(x27243,x27244,x27241,x27245) % 197.39/197.45 [2725]P23(x27253,x27254,x27255,x27252)+~E(x27251,x27252)+~P23(x27253,x27254,x27255,x27251) % 197.39/197.45 [2726]P34(x27262,x27263)+~E(x27261,x27262)+~P34(x27261,x27263) % 197.39/197.45 [2727]P34(x27273,x27272)+~E(x27271,x27272)+~P34(x27273,x27271) % 197.39/197.45 [2728]P32(x27282,x27283,x27284,x27285,x27286)+~E(x27281,x27282)+~P32(x27281,x27283,x27284,x27285,x27286) % 197.39/197.45 [2729]P32(x27293,x27292,x27294,x27295,x27296)+~E(x27291,x27292)+~P32(x27293,x27291,x27294,x27295,x27296) % 197.39/197.45 [2730]P32(x27303,x27304,x27302,x27305,x27306)+~E(x27301,x27302)+~P32(x27303,x27304,x27301,x27305,x27306) % 197.39/197.45 [2731]P32(x27313,x27314,x27315,x27312,x27316)+~E(x27311,x27312)+~P32(x27313,x27314,x27315,x27311,x27316) % 197.39/197.45 [2732]P32(x27323,x27324,x27325,x27326,x27322)+~E(x27321,x27322)+~P32(x27323,x27324,x27325,x27326,x27321) % 197.39/197.45 [2733]~P95(x27331)+P95(x27332)+~E(x27331,x27332) % 197.39/197.45 [2734]~P104(x27341)+P104(x27342)+~E(x27341,x27342) % 197.39/197.45 [2735]P35(x27352,x27353,x27354)+~E(x27351,x27352)+~P35(x27351,x27353,x27354) % 197.39/197.45 [2736]P35(x27363,x27362,x27364)+~E(x27361,x27362)+~P35(x27363,x27361,x27364) % 197.39/197.45 [2737]P35(x27373,x27374,x27372)+~E(x27371,x27372)+~P35(x27373,x27374,x27371) % 197.39/197.45 [2738]~P90(x27381)+P90(x27382)+~E(x27381,x27382) % 197.39/197.45 [2739]~P8(x27391)+P8(x27392)+~E(x27391,x27392) % 197.39/197.45 [2740]P24(x27402,x27403,x27404,x27405)+~E(x27401,x27402)+~P24(x27401,x27403,x27404,x27405) % 197.39/197.45 [2741]P24(x27413,x27412,x27414,x27415)+~E(x27411,x27412)+~P24(x27413,x27411,x27414,x27415) % 197.39/197.45 [2742]P24(x27423,x27424,x27422,x27425)+~E(x27421,x27422)+~P24(x27423,x27424,x27421,x27425) % 197.39/197.45 [2743]P24(x27433,x27434,x27435,x27432)+~E(x27431,x27432)+~P24(x27433,x27434,x27435,x27431) % 197.39/197.45 [2744]P31(x27442,x27443,x27444)+~E(x27441,x27442)+~P31(x27441,x27443,x27444) % 197.39/197.45 [2745]P31(x27453,x27452,x27454)+~E(x27451,x27452)+~P31(x27453,x27451,x27454) % 197.39/197.45 [2746]P31(x27463,x27464,x27462)+~E(x27461,x27462)+~P31(x27463,x27464,x27461) % 197.39/197.45 [2747]~P89(x27471)+P89(x27472)+~E(x27471,x27472) % 197.39/197.45 [2748]~P74(x27481)+P74(x27482)+~E(x27481,x27482) % 197.39/197.45 [2749]P56(x27492,x27493)+~E(x27491,x27492)+~P56(x27491,x27493) % 197.39/197.45 [2750]P56(x27503,x27502)+~E(x27501,x27502)+~P56(x27503,x27501) % 197.39/197.45 [2751]~P72(x27511)+P72(x27512)+~E(x27511,x27512) % 197.39/197.45 [2752]~P123(x27521)+P123(x27522)+~E(x27521,x27522) % 197.39/197.45 [2753]~P134(x27531)+P134(x27532)+~E(x27531,x27532) % 197.39/197.45 [2754]~P81(x27541)+P81(x27542)+~E(x27541,x27542) % 197.39/197.45 [2755]~P79(x27551)+P79(x27552)+~E(x27551,x27552) % 197.39/197.45 [2756]~P116(x27561)+P116(x27562)+~E(x27561,x27562) % 197.39/197.45 [2757]~P135(x27571)+P135(x27572)+~E(x27571,x27572) % 197.39/197.45 [2758]~P133(x27581)+P133(x27582)+~E(x27581,x27582) % 197.39/197.45 [2759]~P93(x27591)+P93(x27592)+~E(x27591,x27592) % 197.39/197.45 [2760]~P83(x27601)+P83(x27602)+~E(x27601,x27602) % 197.39/197.45 [2761]~P63(x27611)+P63(x27612)+~E(x27611,x27612) % 197.39/197.45 [2762]~P80(x27621)+P80(x27622)+~E(x27621,x27622) % 197.39/197.45 [2763]~P84(x27631)+P84(x27632)+~E(x27631,x27632) % 197.39/197.45 [2764]P10(x27642,x27643)+~E(x27641,x27642)+~P10(x27641,x27643) % 197.39/197.45 [2765]P10(x27653,x27652)+~E(x27651,x27652)+~P10(x27653,x27651) % 197.39/197.45 [2766]~P126(x27661)+P126(x27662)+~E(x27661,x27662) % 197.39/197.45 [2767]~P111(x27671)+P111(x27672)+~E(x27671,x27672) % 197.39/197.45 [2768]~P124(x27681)+P124(x27682)+~E(x27681,x27682) % 197.39/197.45 [2769]~P109(x27691)+P109(x27692)+~E(x27691,x27692) % 197.39/197.45 [2770]~P139(x27701)+P139(x27702)+~E(x27701,x27702) % 197.39/197.45 [2771]P54(x27712,x27713,x27714)+~E(x27711,x27712)+~P54(x27711,x27713,x27714) % 197.39/197.45 [2772]P54(x27723,x27722,x27724)+~E(x27721,x27722)+~P54(x27723,x27721,x27724) % 197.39/197.45 [2773]P54(x27733,x27734,x27732)+~E(x27731,x27732)+~P54(x27733,x27734,x27731) % 197.39/197.45 [2774]~P77(x27741)+P77(x27742)+~E(x27741,x27742) % 197.39/197.45 [2775]P38(x27752,x27753,x27754,x27755,x27756,x27757)+~E(x27751,x27752)+~P38(x27751,x27753,x27754,x27755,x27756,x27757) % 197.39/197.45 [2776]P38(x27763,x27762,x27764,x27765,x27766,x27767)+~E(x27761,x27762)+~P38(x27763,x27761,x27764,x27765,x27766,x27767) % 197.39/197.45 [2777]P38(x27773,x27774,x27772,x27775,x27776,x27777)+~E(x27771,x27772)+~P38(x27773,x27774,x27771,x27775,x27776,x27777) % 197.39/197.45 [2778]P38(x27783,x27784,x27785,x27782,x27786,x27787)+~E(x27781,x27782)+~P38(x27783,x27784,x27785,x27781,x27786,x27787) % 197.39/197.45 [2779]P38(x27793,x27794,x27795,x27796,x27792,x27797)+~E(x27791,x27792)+~P38(x27793,x27794,x27795,x27796,x27791,x27797) % 197.39/197.45 [2780]P38(x27803,x27804,x27805,x27806,x27807,x27802)+~E(x27801,x27802)+~P38(x27803,x27804,x27805,x27806,x27807,x27801) % 197.39/197.45 [2781]P17(x27812,x27813,x27814)+~E(x27811,x27812)+~P17(x27811,x27813,x27814) % 197.39/197.45 [2782]P17(x27823,x27822,x27824)+~E(x27821,x27822)+~P17(x27823,x27821,x27824) % 197.39/197.45 [2783]P17(x27833,x27834,x27832)+~E(x27831,x27832)+~P17(x27833,x27834,x27831) % 197.39/197.45 [2784]~P136(x27841)+P136(x27842)+~E(x27841,x27842) % 197.39/197.45 [2785]~P94(x27851)+P94(x27852)+~E(x27851,x27852) % 197.39/197.45 [2786]P58(x27862,x27863)+~E(x27861,x27862)+~P58(x27861,x27863) % 197.39/197.45 [2787]P58(x27873,x27872)+~E(x27871,x27872)+~P58(x27873,x27871) % 197.39/197.45 [2788]~P67(x27881)+P67(x27882)+~E(x27881,x27882) % 197.39/197.45 [2789]~P73(x27891)+P73(x27892)+~E(x27891,x27892) % 197.39/197.45 [2790]~P120(x27901)+P120(x27902)+~E(x27901,x27902) % 197.39/197.45 [2791]P30(x27912,x27913,x27914,x27915)+~E(x27911,x27912)+~P30(x27911,x27913,x27914,x27915) % 197.39/197.45 [2792]P30(x27923,x27922,x27924,x27925)+~E(x27921,x27922)+~P30(x27923,x27921,x27924,x27925) % 197.39/197.45 [2793]P30(x27933,x27934,x27932,x27935)+~E(x27931,x27932)+~P30(x27933,x27934,x27931,x27935) % 197.39/197.45 [2794]P30(x27943,x27944,x27945,x27942)+~E(x27941,x27942)+~P30(x27943,x27944,x27945,x27941) % 197.39/197.45 [2795]~P92(x27951)+P92(x27952)+~E(x27951,x27952) % 197.39/197.45 [2796]P14(x27962,x27963,x27964,x27965)+~E(x27961,x27962)+~P14(x27961,x27963,x27964,x27965) % 197.39/197.45 [2797]P14(x27973,x27972,x27974,x27975)+~E(x27971,x27972)+~P14(x27973,x27971,x27974,x27975) % 197.39/197.45 [2798]P14(x27983,x27984,x27982,x27985)+~E(x27981,x27982)+~P14(x27983,x27984,x27981,x27985) % 197.39/197.45 [2799]P14(x27993,x27994,x27995,x27992)+~E(x27991,x27992)+~P14(x27993,x27994,x27995,x27991) % 197.39/197.45 [2800]P50(x28002,x28003,x28004,x28005)+~E(x28001,x28002)+~P50(x28001,x28003,x28004,x28005) % 197.39/197.45 [2801]P50(x28013,x28012,x28014,x28015)+~E(x28011,x28012)+~P50(x28013,x28011,x28014,x28015) % 197.39/197.45 [2802]P50(x28023,x28024,x28022,x28025)+~E(x28021,x28022)+~P50(x28023,x28024,x28021,x28025) % 197.39/197.45 [2803]P50(x28033,x28034,x28035,x28032)+~E(x28031,x28032)+~P50(x28033,x28034,x28035,x28031) % 197.39/197.45 [2804]~P137(x28041)+P137(x28042)+~E(x28041,x28042) % 197.39/197.45 [2805]~P128(x28051)+P128(x28052)+~E(x28051,x28052) % 197.39/197.45 [2806]P47(x28062,x28063,x28064,x28065,x28066)+~E(x28061,x28062)+~P47(x28061,x28063,x28064,x28065,x28066) % 197.39/197.45 [2807]P47(x28073,x28072,x28074,x28075,x28076)+~E(x28071,x28072)+~P47(x28073,x28071,x28074,x28075,x28076) % 197.39/197.45 [2808]P47(x28083,x28084,x28082,x28085,x28086)+~E(x28081,x28082)+~P47(x28083,x28084,x28081,x28085,x28086) % 197.39/197.45 [2809]P47(x28093,x28094,x28095,x28092,x28096)+~E(x28091,x28092)+~P47(x28093,x28094,x28095,x28091,x28096) % 197.39/197.45 [2810]P47(x28103,x28104,x28105,x28106,x28102)+~E(x28101,x28102)+~P47(x28103,x28104,x28105,x28106,x28101) % 197.39/197.45 [2811]~P119(x28111)+P119(x28112)+~E(x28111,x28112) % 197.39/197.45 [2812]~P138(x28121)+P138(x28122)+~E(x28121,x28122) % 197.39/197.45 [2813]~P60(x28131)+P60(x28132)+~E(x28131,x28132) % 197.39/197.45 [2814]P53(x28142,x28143,x28144)+~E(x28141,x28142)+~P53(x28141,x28143,x28144) % 197.39/197.45 [2815]P53(x28153,x28152,x28154)+~E(x28151,x28152)+~P53(x28153,x28151,x28154) % 197.39/197.45 [2816]P53(x28163,x28164,x28162)+~E(x28161,x28162)+~P53(x28163,x28164,x28161) % 197.39/197.45 [2817]~P110(x28171)+P110(x28172)+~E(x28171,x28172) % 197.39/197.45 [2818]~P33(x28181)+P33(x28182)+~E(x28181,x28182) % 197.39/197.45 [2819]P19(x28192,x28193,x28194,x28195,x28196,x28197)+~E(x28191,x28192)+~P19(x28191,x28193,x28194,x28195,x28196,x28197) % 197.39/197.45 [2820]P19(x28203,x28202,x28204,x28205,x28206,x28207)+~E(x28201,x28202)+~P19(x28203,x28201,x28204,x28205,x28206,x28207) % 197.39/197.45 [2821]P19(x28213,x28214,x28212,x28215,x28216,x28217)+~E(x28211,x28212)+~P19(x28213,x28214,x28211,x28215,x28216,x28217) % 197.39/197.45 [2822]P19(x28223,x28224,x28225,x28222,x28226,x28227)+~E(x28221,x28222)+~P19(x28223,x28224,x28225,x28221,x28226,x28227) % 197.39/197.45 [2823]P19(x28233,x28234,x28235,x28236,x28232,x28237)+~E(x28231,x28232)+~P19(x28233,x28234,x28235,x28236,x28231,x28237) % 197.39/197.45 [2824]P19(x28243,x28244,x28245,x28246,x28247,x28242)+~E(x28241,x28242)+~P19(x28243,x28244,x28245,x28246,x28247,x28241) % 197.39/197.45 [2825]P57(x28252,x28253,x28254,x28255)+~E(x28251,x28252)+~P57(x28251,x28253,x28254,x28255) % 197.39/197.45 [2826]P57(x28263,x28262,x28264,x28265)+~E(x28261,x28262)+~P57(x28263,x28261,x28264,x28265) % 197.39/197.45 [2827]P57(x28273,x28274,x28272,x28275)+~E(x28271,x28272)+~P57(x28273,x28274,x28271,x28275) % 197.39/197.45 [2828]P57(x28283,x28284,x28285,x28282)+~E(x28281,x28282)+~P57(x28283,x28284,x28285,x28281) % 197.39/197.45 [2829]~P118(x28291)+P118(x28292)+~E(x28291,x28292) % 197.39/197.45 [2830]P11(x28302,x28303,x28304)+~E(x28301,x28302)+~P11(x28301,x28303,x28304) % 197.39/197.45 [2831]P11(x28313,x28312,x28314)+~E(x28311,x28312)+~P11(x28313,x28311,x28314) % 197.39/197.45 [2832]P11(x28323,x28324,x28322)+~E(x28321,x28322)+~P11(x28323,x28324,x28321) % 197.39/197.45 [2833]~P130(x28331)+P130(x28332)+~E(x28331,x28332) % 197.39/197.45 [2834]~P97(x28341)+P97(x28342)+~E(x28341,x28342) % 197.39/197.45 [2835]~P103(x28351)+P103(x28352)+~E(x28351,x28352) % 197.39/197.45 [2836]~P131(x28361)+P131(x28362)+~E(x28361,x28362) % 197.39/197.45 [2837]~P61(x28371)+P61(x28372)+~E(x28371,x28372) % 197.39/197.45 [2838]P15(x28382,x28383,x28384,x28385,x28386,x28387)+~E(x28381,x28382)+~P15(x28381,x28383,x28384,x28385,x28386,x28387) % 197.39/197.45 [2839]P15(x28393,x28392,x28394,x28395,x28396,x28397)+~E(x28391,x28392)+~P15(x28393,x28391,x28394,x28395,x28396,x28397) % 197.39/197.45 [2840]P15(x28403,x28404,x28402,x28405,x28406,x28407)+~E(x28401,x28402)+~P15(x28403,x28404,x28401,x28405,x28406,x28407) % 197.39/197.45 [2841]P15(x28413,x28414,x28415,x28412,x28416,x28417)+~E(x28411,x28412)+~P15(x28413,x28414,x28415,x28411,x28416,x28417) % 197.39/197.45 [2842]P15(x28423,x28424,x28425,x28426,x28422,x28427)+~E(x28421,x28422)+~P15(x28423,x28424,x28425,x28426,x28421,x28427) % 197.39/197.45 [2843]P15(x28433,x28434,x28435,x28436,x28437,x28432)+~E(x28431,x28432)+~P15(x28433,x28434,x28435,x28436,x28437,x28431) % 197.39/197.45 [2844]P48(x28442,x28443)+~E(x28441,x28442)+~P48(x28441,x28443) % 197.39/197.45 [2845]P48(x28453,x28452)+~E(x28451,x28452)+~P48(x28453,x28451) % 197.39/197.45 [2846]~P132(x28461)+P132(x28462)+~E(x28461,x28462) % 197.39/197.45 [2847]P26(x28472,x28473,x28474,x28475,x28476,x28477)+~E(x28471,x28472)+~P26(x28471,x28473,x28474,x28475,x28476,x28477) % 197.39/197.45 [2848]P26(x28483,x28482,x28484,x28485,x28486,x28487)+~E(x28481,x28482)+~P26(x28483,x28481,x28484,x28485,x28486,x28487) % 197.39/197.45 [2849]P26(x28493,x28494,x28492,x28495,x28496,x28497)+~E(x28491,x28492)+~P26(x28493,x28494,x28491,x28495,x28496,x28497) % 197.39/197.45 [2850]P26(x28503,x28504,x28505,x28502,x28506,x28507)+~E(x28501,x28502)+~P26(x28503,x28504,x28505,x28501,x28506,x28507) % 197.39/197.45 [2851]P26(x28513,x28514,x28515,x28516,x28512,x28517)+~E(x28511,x28512)+~P26(x28513,x28514,x28515,x28516,x28511,x28517) % 197.39/197.45 [2852]P26(x28523,x28524,x28525,x28526,x28527,x28522)+~E(x28521,x28522)+~P26(x28523,x28524,x28525,x28526,x28527,x28521) % 197.39/197.45 [2853]~P96(x28531)+P96(x28532)+~E(x28531,x28532) % 197.39/197.45 [2854]~P62(x28541)+P62(x28542)+~E(x28541,x28542) % 197.39/197.45 [2855]~P117(x28551)+P117(x28552)+~E(x28551,x28552) % 197.39/197.45 [2856]~P115(x28561)+P115(x28562)+~E(x28561,x28562) % 197.39/197.45 [2857]P52(x28572,x28573,x28574,x28575,x28576,x28577,x28578,x28579)+~E(x28571,x28572)+~P52(x28571,x28573,x28574,x28575,x28576,x28577,x28578,x28579) % 197.39/197.45 [2858]P52(x28583,x28582,x28584,x28585,x28586,x28587,x28588,x28589)+~E(x28581,x28582)+~P52(x28583,x28581,x28584,x28585,x28586,x28587,x28588,x28589) % 197.39/197.45 [2859]P52(x28593,x28594,x28592,x28595,x28596,x28597,x28598,x28599)+~E(x28591,x28592)+~P52(x28593,x28594,x28591,x28595,x28596,x28597,x28598,x28599) % 197.39/197.45 [2860]P52(x28603,x28604,x28605,x28602,x28606,x28607,x28608,x28609)+~E(x28601,x28602)+~P52(x28603,x28604,x28605,x28601,x28606,x28607,x28608,x28609) % 197.39/197.45 [2861]P52(x28613,x28614,x28615,x28616,x28612,x28617,x28618,x28619)+~E(x28611,x28612)+~P52(x28613,x28614,x28615,x28616,x28611,x28617,x28618,x28619) % 197.39/197.45 [2862]P52(x28623,x28624,x28625,x28626,x28627,x28622,x28628,x28629)+~E(x28621,x28622)+~P52(x28623,x28624,x28625,x28626,x28627,x28621,x28628,x28629) % 197.39/197.45 [2863]P52(x28633,x28634,x28635,x28636,x28637,x28638,x28632,x28639)+~E(x28631,x28632)+~P52(x28633,x28634,x28635,x28636,x28637,x28638,x28631,x28639) % 197.39/197.45 [2864]P52(x28643,x28644,x28645,x28646,x28647,x28648,x28649,x28642)+~E(x28641,x28642)+~P52(x28643,x28644,x28645,x28646,x28647,x28648,x28649,x28641) % 197.39/197.45 [2865]~P40(x28651)+P40(x28652)+~E(x28651,x28652) % 197.39/197.45 [2866]P29(x28662,x28663)+~E(x28661,x28662)+~P29(x28661,x28663) % 197.39/197.45 [2867]P29(x28673,x28672)+~E(x28671,x28672)+~P29(x28673,x28671) % 197.39/197.45 [2868]P45(x28682,x28683,x28684,x28685)+~E(x28681,x28682)+~P45(x28681,x28683,x28684,x28685) % 197.39/197.45 [2869]P45(x28693,x28692,x28694,x28695)+~E(x28691,x28692)+~P45(x28693,x28691,x28694,x28695) % 197.39/197.45 [2870]P45(x28703,x28704,x28702,x28705)+~E(x28701,x28702)+~P45(x28703,x28704,x28701,x28705) % 197.39/197.45 [2871]P45(x28713,x28714,x28715,x28712)+~E(x28711,x28712)+~P45(x28713,x28714,x28715,x28711) % 197.39/197.45 [2872]P39(x28722,x28723)+~E(x28721,x28722)+~P39(x28721,x28723) % 197.39/197.45 [2873]P39(x28733,x28732)+~E(x28731,x28732)+~P39(x28733,x28731) % 197.39/197.45 [2874]P25(x28742,x28743,x28744,x28745,x28746)+~E(x28741,x28742)+~P25(x28741,x28743,x28744,x28745,x28746) % 197.39/197.45 [2875]P25(x28753,x28752,x28754,x28755,x28756)+~E(x28751,x28752)+~P25(x28753,x28751,x28754,x28755,x28756) % 197.39/197.45 [2876]P25(x28763,x28764,x28762,x28765,x28766)+~E(x28761,x28762)+~P25(x28763,x28764,x28761,x28765,x28766) % 197.39/197.45 [2877]P25(x28773,x28774,x28775,x28772,x28776)+~E(x28771,x28772)+~P25(x28773,x28774,x28775,x28771,x28776) % 197.39/197.45 [2878]P25(x28783,x28784,x28785,x28786,x28782)+~E(x28781,x28782)+~P25(x28783,x28784,x28785,x28786,x28781) % 197.39/197.45 [2879]P28(x28792,x28793,x28794)+~E(x28791,x28792)+~P28(x28791,x28793,x28794) % 197.39/197.45 [2880]P28(x28803,x28802,x28804)+~E(x28801,x28802)+~P28(x28803,x28801,x28804) % 197.39/197.45 [2881]P28(x28813,x28814,x28812)+~E(x28811,x28812)+~P28(x28813,x28814,x28811) % 197.39/197.45 [2882]P13(x28822,x28823,x28824,x28825,x28826)+~E(x28821,x28822)+~P13(x28821,x28823,x28824,x28825,x28826) % 197.39/197.45 [2883]P13(x28833,x28832,x28834,x28835,x28836)+~E(x28831,x28832)+~P13(x28833,x28831,x28834,x28835,x28836) % 197.39/197.45 [2884]P13(x28843,x28844,x28842,x28845,x28846)+~E(x28841,x28842)+~P13(x28843,x28844,x28841,x28845,x28846) % 197.39/197.45 [2885]P13(x28853,x28854,x28855,x28852,x28856)+~E(x28851,x28852)+~P13(x28853,x28854,x28855,x28851,x28856) % 197.39/197.45 [2886]P13(x28863,x28864,x28865,x28866,x28862)+~E(x28861,x28862)+~P13(x28863,x28864,x28865,x28866,x28861) % 197.39/197.45 [2887]~P9(x28871)+P9(x28872)+~E(x28871,x28872) % 197.39/197.45 [2888]~P7(x28881)+P7(x28882)+~E(x28881,x28882) % 197.39/197.45 [2889]P42(x28892,x28893,x28894)+~E(x28891,x28892)+~P42(x28891,x28893,x28894) % 197.39/197.45 [2890]P42(x28903,x28902,x28904)+~E(x28901,x28902)+~P42(x28903,x28901,x28904) % 197.39/197.45 [2891]P42(x28913,x28914,x28912)+~E(x28911,x28912)+~P42(x28913,x28914,x28911) % 197.39/197.45 [2892]P43(x28922,x28923,x28924)+~E(x28921,x28922)+~P43(x28921,x28923,x28924) % 197.39/197.45 [2893]P43(x28933,x28932,x28934)+~E(x28931,x28932)+~P43(x28933,x28931,x28934) % 197.39/197.45 [2894]P43(x28943,x28944,x28942)+~E(x28941,x28942)+~P43(x28943,x28944,x28941) % 197.39/197.45 [2895]~P86(x28951)+P86(x28952)+~E(x28951,x28952) % 197.39/197.45 [2896]P21(x28962,x28963,x28964)+~E(x28961,x28962)+~P21(x28961,x28963,x28964) % 197.39/197.45 [2897]P21(x28973,x28972,x28974)+~E(x28971,x28972)+~P21(x28973,x28971,x28974) % 197.39/197.45 [2898]P21(x28983,x28984,x28982)+~E(x28981,x28982)+~P21(x28983,x28984,x28981) % 197.39/197.45 [2899]~P99(x28991)+P99(x28992)+~E(x28991,x28992) % 197.39/197.45 [2900]P27(x29002,x29003,x29004)+~E(x29001,x29002)+~P27(x29001,x29003,x29004) % 197.39/197.45 [2901]P27(x29013,x29012,x29014)+~E(x29011,x29012)+~P27(x29013,x29011,x29014) % 197.39/197.45 [2902]P27(x29023,x29024,x29022)+~E(x29021,x29022)+~P27(x29023,x29024,x29021) % 197.39/197.45 [2903]P55(x29032,x29033,x29034,x29035,x29036)+~E(x29031,x29032)+~P55(x29031,x29033,x29034,x29035,x29036) % 197.39/197.45 [2904]P55(x29043,x29042,x29044,x29045,x29046)+~E(x29041,x29042)+~P55(x29043,x29041,x29044,x29045,x29046) % 197.39/197.45 [2905]P55(x29053,x29054,x29052,x29055,x29056)+~E(x29051,x29052)+~P55(x29053,x29054,x29051,x29055,x29056) % 197.39/197.45 [2906]P55(x29063,x29064,x29065,x29062,x29066)+~E(x29061,x29062)+~P55(x29063,x29064,x29065,x29061,x29066) % 197.39/197.45 [2907]P55(x29073,x29074,x29075,x29076,x29072)+~E(x29071,x29072)+~P55(x29073,x29074,x29075,x29076,x29071) % 197.39/197.45 [2908]~P107(x29081)+P107(x29082)+~E(x29081,x29082) % 197.39/197.45 [2909]~P102(x29091)+P102(x29092)+~E(x29091,x29092) % 197.39/197.45 [2910]P41(x29102,x29103)+~E(x29101,x29102)+~P41(x29101,x29103) % 197.39/197.45 [2911]P41(x29113,x29112)+~E(x29111,x29112)+~P41(x29113,x29111) % 197.39/197.45 [2912]P37(x29122,x29123,x29124,x29125)+~E(x29121,x29122)+~P37(x29121,x29123,x29124,x29125) % 197.39/197.45 [2913]P37(x29133,x29132,x29134,x29135)+~E(x29131,x29132)+~P37(x29133,x29131,x29134,x29135) % 197.39/197.45 [2914]P37(x29143,x29144,x29142,x29145)+~E(x29141,x29142)+~P37(x29143,x29144,x29141,x29145) % 197.39/197.45 [2915]P37(x29153,x29154,x29155,x29152)+~E(x29151,x29152)+~P37(x29153,x29154,x29155,x29151) % 197.39/197.45 [2916]~P75(x29161)+P75(x29162)+~E(x29161,x29162) % 197.39/197.45 [2917]~P112(x29171)+P112(x29172)+~E(x29171,x29172) % 197.39/197.45 [2918]~P98(x29181)+P98(x29182)+~E(x29181,x29182) % 197.39/197.45 [2919]P51(x29192,x29193)+~E(x29191,x29192)+~P51(x29191,x29193) % 197.39/197.45 [2920]P51(x29203,x29202)+~E(x29201,x29202)+~P51(x29203,x29201) % 197.39/197.45 [2921]~P85(x29211)+P85(x29212)+~E(x29211,x29212) % 197.39/197.45 [2922]~P68(x29221)+P68(x29222)+~E(x29221,x29222) % 197.39/197.45 [2923]P12(x29232,x29233,x29234)+~E(x29231,x29232)+~P12(x29231,x29233,x29234) % 197.39/197.45 [2924]P12(x29243,x29242,x29244)+~E(x29241,x29242)+~P12(x29243,x29241,x29244) % 197.39/197.45 [2925]P12(x29253,x29254,x29252)+~E(x29251,x29252)+~P12(x29253,x29254,x29251) % 197.39/197.45 % 197.39/197.45 %------------------------------------------- % 197.39/197.48 cnf(10260,plain, % 197.39/197.48 (~E(f341(a128,x102601),x102601)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(10269,plain, % 197.39/197.48 (~E(f341(f173(x102691),f341(a128,f341(f173(x102691),x102692))),x102692)), % 197.39/197.48 inference(scs_inference,[],[4476,10260,3118,3154,3165,4555,4592,4618,4662,4667,4694,4709])). % 197.39/197.48 cnf(10270,plain, % 197.39/197.48 (~E(f341(a128,x102701),x102701)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(10281,plain, % 197.39/197.48 (~E(f341(a128,x102811),x102811)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(10286,plain, % 197.39/197.48 (~P1(f341(f73(x102861,x102862,f193(f889(x102861,a874))),x102863))), % 197.39/197.48 inference(rename_variables,[],[4574])). % 197.39/197.48 cnf(10289,plain, % 197.39/197.48 (~P1(f341(f73(x102891,x102892,f193(f889(x102891,a874))),x102893))), % 197.39/197.48 inference(rename_variables,[],[4574])). % 197.39/197.48 cnf(10292,plain, % 197.39/197.48 (~E(f341(a128,x102921),x102921)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(10295,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x102951),f2(a881)))), % 197.39/197.48 inference(rename_variables,[],[4548])). % 197.39/197.48 cnf(10298,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x102981),f2(a881)))), % 197.39/197.48 inference(rename_variables,[],[4548])). % 197.39/197.48 cnf(10311,plain, % 197.39/197.48 (~P1(f341(f193(f889(x103111,a874)),x103112))), % 197.39/197.48 inference(scs_inference,[],[4476,10260,10270,10281,3118,3160,3215,3154,3165,3293,4548,10295,4545,4494,4555,3286,4540,4574,10286,4577,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018])). % 197.39/197.48 cnf(10315,plain, % 197.39/197.48 (~P1(f341(f341(f241(a881),f341(a128,x103151)),x103151))), % 197.39/197.48 inference(rename_variables,[],[4561])). % 197.39/197.48 cnf(10318,plain, % 197.39/197.48 (~E(f341(f341(f54(x103181,x103182),x103183),x103184),f341(f49(x103181,x103182),x103185))), % 197.39/197.48 inference(rename_variables,[],[4559])). % 197.39/197.48 cnf(10324,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x103241),f2(a881)))), % 197.39/197.48 inference(rename_variables,[],[4548])). % 197.39/197.48 cnf(10327,plain, % 197.39/197.48 (E(f341(f270(x103271,x103271),f271(x103271,x103272)),x103272)), % 197.39/197.48 inference(rename_variables,[],[3271])). % 197.39/197.48 cnf(10330,plain, % 197.39/197.48 (E(f341(f270(x103301,x103301),f271(x103301,x103302)),x103302)), % 197.39/197.48 inference(rename_variables,[],[3271])). % 197.39/197.48 cnf(10337,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),f341(f341(f91(a881),x103371),x103372)),x103372))), % 197.39/197.48 inference(rename_variables,[],[4575])). % 197.39/197.48 cnf(10340,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),f341(f341(f91(a881),x103401),x103402)),x103402))), % 197.39/197.48 inference(rename_variables,[],[4575])). % 197.39/197.48 cnf(10347,plain, % 197.39/197.48 (~E(x103471,f341(a128,x103471))), % 197.39/197.48 inference(scs_inference,[],[4476,10260,10270,10281,3118,3271,10327,3160,3215,3154,3182,3165,4559,3384,3293,4548,10295,10298,4545,4494,4561,4123,4555,3286,4540,4574,10286,4577,4575,10337,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163])). % 197.39/197.48 cnf(10361,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x103611),x103611))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(10364,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),f57(a881,x103641,x103642)),x103641))), % 197.39/197.48 inference(rename_variables,[],[3766])). % 197.39/197.48 cnf(10383,plain, % 197.39/197.48 (E(f341(f37(a881),f341(f268(a881),x103831)),x103831)), % 197.39/197.48 inference(rename_variables,[],[3212])). % 197.39/197.48 cnf(10391,plain, % 197.39/197.48 (~E(f341(a128,x103911),x103911)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(10394,plain, % 197.39/197.48 (~E(f341(a128,x103941),x103941)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(10397,plain, % 197.39/197.48 (~E(f341(a128,x103971),x103971)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(10402,plain, % 197.39/197.48 (P1(f341(f341(f242(a881),x104021),f341(a128,x104021)))), % 197.39/197.48 inference(rename_variables,[],[3384])). % 197.39/197.48 cnf(10411,plain, % 197.39/197.48 (P1(f341(f341(f199(a25),x104111),x104111))), % 197.39/197.48 inference(rename_variables,[],[3310])). % 197.39/197.48 cnf(10418,plain, % 197.39/197.48 (E(f341(f270(x104181,x104181),f271(x104181,x104182)),x104182)), % 197.39/197.48 inference(rename_variables,[],[3271])). % 197.39/197.48 cnf(10421,plain, % 197.39/197.48 (E(f341(f270(x104211,x104211),f271(x104211,x104212)),x104212)), % 197.39/197.48 inference(rename_variables,[],[3271])). % 197.39/197.48 cnf(10442,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x104421),f2(a881)))), % 197.39/197.48 inference(rename_variables,[],[4548])). % 197.39/197.48 cnf(10445,plain, % 197.39/197.48 (P1(f341(f341(f276(x104451,x104452,x104451,x104452,x104453,x104453),f34(x104451)),f34(x104452)))), % 197.39/197.48 inference(rename_variables,[],[4400])). % 197.39/197.48 cnf(10449,plain, % 197.39/197.48 (P1(f341(f341(f241(a1),f2(a1)),f751(f341(f242(a881),f341(f116(a1),x104491)))))), % 197.39/197.48 inference(scs_inference,[],[4476,10260,10270,10281,10292,10391,10394,3118,3271,10327,10330,10418,3160,3215,3154,3182,3165,3246,4559,3212,4084,4400,4581,3232,3384,10402,3293,4548,10295,10298,10324,3750,3891,3340,3342,3314,4545,4494,4045,3310,4544,10361,3416,3825,3766,10364,4561,10315,4123,4555,4536,3286,4540,4574,10286,4577,3785,4575,10337,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397])). % 197.39/197.48 cnf(10450,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x104501),x104501))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(10479,plain, % 197.39/197.48 (~E(f341(a26,x104791),f33(x104792,x104793))), % 197.39/197.48 inference(rename_variables,[],[4489])). % 197.39/197.48 cnf(10492,plain, % 197.39/197.48 (P1(f341(f341(f241(a1),x104921),x104921))), % 197.39/197.48 inference(rename_variables,[],[3312])). % 197.39/197.48 cnf(10499,plain, % 197.39/197.48 (P1(f341(f341(f199(a25),x104991),x104991))), % 197.39/197.48 inference(rename_variables,[],[3310])). % 197.39/197.48 cnf(10503,plain, % 197.39/197.48 (~E(f341(f173(x105031),f341(f341(f156(x105031),x105032),x105033)),f129(x105031))), % 197.39/197.48 inference(scs_inference,[],[4476,10260,10270,10281,10292,10391,10394,4489,3118,3271,10327,10330,10418,3160,3215,3154,3182,3165,3246,4559,3212,4084,4400,4581,3232,3673,3384,10402,3293,4548,10295,10298,10324,10442,3750,3891,3340,3342,3314,4545,4494,4045,3310,10411,3311,3312,4544,10361,10450,3416,3825,3766,10364,4561,10315,4123,4555,4536,3286,3287,4540,4574,10286,4577,3785,4575,10337,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623])). % 197.39/197.48 cnf(10510,plain, % 197.39/197.48 (P1(f341(f341(f242(a881),x105101),f341(a128,x105101)))), % 197.39/197.48 inference(rename_variables,[],[3384])). % 197.39/197.48 cnf(10515,plain, % 197.39/197.48 (E(f341(f341(f137(x105151),f129(x105151)),x105152),x105152)), % 197.39/197.48 inference(rename_variables,[],[3266])). % 197.39/197.48 cnf(10536,plain, % 197.39/197.48 (~P1(f341(f73(x105361,x105362,f193(f889(x105361,a874))),x105363))), % 197.39/197.48 inference(rename_variables,[],[4574])). % 197.39/197.48 cnf(10555,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x105551),x105551))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(10562,plain, % 197.39/197.48 (~P1(f341(f73(x105621,x105622,f193(f889(x105621,a874))),x105623))), % 197.39/197.48 inference(rename_variables,[],[4574])). % 197.39/197.48 cnf(10573,plain, % 197.39/197.48 (~E(f341(a26,x105731),f33(x105732,x105733))), % 197.39/197.48 inference(rename_variables,[],[4489])). % 197.39/197.48 cnf(10578,plain, % 197.39/197.48 (P1(f341(f341(f344(x105781),x105782),f249(f889(x105781,a874))))), % 197.39/197.48 inference(rename_variables,[],[3474])). % 197.39/197.48 cnf(10582,plain, % 197.39/197.48 (P1(f341(f341(f242(a881),f2(a881)),f341(a119,f89(a1))))), % 197.39/197.48 inference(scs_inference,[],[4476,10260,10270,10281,10292,10391,10394,4489,10479,3118,3271,10327,10330,10418,3160,3215,3154,3182,3165,3246,3266,10515,4559,3212,4084,4400,10445,4581,3232,3673,3384,10402,10510,3293,4548,10295,10298,10324,10442,4568,3750,3891,3340,3342,3314,4545,4494,4045,3310,10411,3311,3312,4544,10361,10450,3474,3416,3825,3766,10364,4561,10315,4123,4555,4536,3286,3287,4537,4540,4574,10286,10289,10536,4577,3785,4575,10337,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874])). % 197.39/197.48 cnf(10585,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x105851),x105851))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(10590,plain, % 197.39/197.48 (P1(f341(f341(f242(a881),x105901),f341(a128,x105901)))), % 197.39/197.48 inference(rename_variables,[],[3384])). % 197.39/197.48 cnf(10593,plain, % 197.39/197.48 (~P1(f341(f73(x105931,x105932,f193(f889(x105931,a874))),x105933))), % 197.39/197.48 inference(rename_variables,[],[4574])). % 197.39/197.48 cnf(10596,plain, % 197.39/197.48 (~P1(f341(f341(f193(f889(x105961,f889(x105962,a874))),x105963),x105964))), % 197.39/197.48 inference(rename_variables,[],[4579])). % 197.39/197.48 cnf(10599,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x105991),f2(a881)))), % 197.39/197.48 inference(rename_variables,[],[4548])). % 197.39/197.48 cnf(10604,plain, % 197.39/197.48 (~P1(f341(f73(x106041,x106042,f193(f889(x106041,a874))),x106043))), % 197.39/197.48 inference(rename_variables,[],[4574])). % 197.39/197.48 cnf(10615,plain, % 197.39/197.48 (~E(f341(a128,x106151),x106151)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(10622,plain, % 197.39/197.48 (~P1(f341(f73(x106221,x106222,f193(f889(x106221,a874))),x106223))), % 197.39/197.48 inference(rename_variables,[],[4574])). % 197.39/197.48 cnf(10649,plain, % 197.39/197.48 (P1(f341(f341(f199(a25),x106491),x106491))), % 197.39/197.48 inference(rename_variables,[],[3310])). % 197.39/197.48 cnf(10652,plain, % 197.39/197.48 (P1(f341(f341(f242(a881),x106521),f341(a128,f341(f341(f91(a881),x106522),x106521))))), % 197.39/197.48 inference(rename_variables,[],[3760])). % 197.39/197.48 cnf(10655,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),x106551),f341(f341(f92(a881),x106551),x106551)))), % 197.39/197.48 inference(rename_variables,[],[3581])). % 197.39/197.48 cnf(10658,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),x106581),f341(f341(f92(a881),x106581),x106581)))), % 197.39/197.48 inference(rename_variables,[],[3581])). % 197.39/197.48 cnf(10663,plain, % 197.39/197.48 (P1(f341(f341(f242(a881),x106631),f341(a128,x106631)))), % 197.39/197.48 inference(rename_variables,[],[3384])). % 197.39/197.48 cnf(10666,plain, % 197.39/197.48 (P1(f341(f341(f242(a881),x106661),f341(a128,x106661)))), % 197.39/197.48 inference(rename_variables,[],[3384])). % 197.39/197.48 cnf(10669,plain, % 197.39/197.48 (P1(f341(f341(f344(x106691),x106692),f249(f889(x106691,a874))))), % 197.39/197.48 inference(rename_variables,[],[3474])). % 197.39/197.48 cnf(10682,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),f341(f341(f91(a881),x106821),x106822)),x106822))), % 197.39/197.48 inference(rename_variables,[],[4575])). % 197.39/197.48 cnf(10685,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),f341(f341(f91(a881),x106851),x106852)),x106852))), % 197.39/197.48 inference(rename_variables,[],[4575])). % 197.39/197.48 cnf(10688,plain, % 197.39/197.48 (~P1(f341(f341(f241(a881),f341(a128,x106881)),x106881))), % 197.39/197.48 inference(rename_variables,[],[4561])). % 197.39/197.48 cnf(10691,plain, % 197.39/197.48 (~P1(f341(f341(f241(a881),f341(a128,x106911)),x106911))), % 197.39/197.48 inference(rename_variables,[],[4561])). % 197.39/197.48 cnf(10694,plain, % 197.39/197.48 (P1(f341(f249(f889(x106941,a874)),x106942))), % 197.39/197.48 inference(rename_variables,[],[3378])). % 197.39/197.48 cnf(10697,plain, % 197.39/197.48 (E(f341(f37(a881),f341(f268(a881),x106971)),x106971)), % 197.39/197.48 inference(rename_variables,[],[3212])). % 197.39/197.48 cnf(10700,plain, % 197.39/197.48 (P1(f341(f341(f242(a881),x107001),f341(a128,x107001)))), % 197.39/197.48 inference(rename_variables,[],[3384])). % 197.39/197.48 cnf(10707,plain, % 197.39/197.48 (P1(f341(f341(f199(a25),x107071),x107071))), % 197.39/197.48 inference(rename_variables,[],[3310])). % 197.39/197.48 cnf(10712,plain, % 197.39/197.48 (P1(f341(f341(f241(a1),x107121),x107121))), % 197.39/197.48 inference(rename_variables,[],[3312])). % 197.39/197.48 cnf(10721,plain, % 197.39/197.48 (E(f341(f270(x107211,x107211),f271(x107211,x107212)),x107212)), % 197.39/197.48 inference(rename_variables,[],[3271])). % 197.39/197.48 cnf(10724,plain, % 197.39/197.48 (P1(f341(f249(f889(x107241,a874)),x107242))), % 197.39/197.48 inference(rename_variables,[],[3378])). % 197.39/197.48 cnf(10727,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),x107271),f341(f341(f92(a881),x107271),x107271)))), % 197.39/197.48 inference(rename_variables,[],[3581])). % 197.39/197.48 cnf(10769,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),x107691),x107691))), % 197.39/197.48 inference(rename_variables,[],[3311])). % 197.39/197.48 cnf(10782,plain, % 197.39/197.48 (~P1(f341(f341(f193(f889(x107821,f889(x107822,a874))),x107823),x107824))), % 197.39/197.48 inference(rename_variables,[],[4579])). % 197.39/197.48 cnf(10789,plain, % 197.39/197.48 (P1(f341(f341(f242(a881),x107891),f341(a128,x107891)))), % 197.39/197.48 inference(rename_variables,[],[3384])). % 197.39/197.48 cnf(10791,plain, % 197.39/197.48 (P1(f341(f341(f242(a1),f341(f341(f3(a1),x107911),f89(a1))),x107911))), % 197.39/197.48 inference(scs_inference,[],[4476,10260,10270,10281,10292,10391,10394,10397,4489,10479,3118,4325,3271,10327,10330,10418,10421,3160,3549,3215,3154,3182,3165,3246,3266,10515,4559,3212,10383,4446,4084,3934,4400,10445,4581,3232,3673,3619,3384,10402,10510,10590,10663,10666,10700,3762,3293,4548,10295,10298,10324,10442,10599,4568,3750,3524,3891,3340,3342,3314,4545,4494,4045,3310,10411,10499,10649,3311,10769,3312,10492,10712,4544,10361,10450,10555,3474,10578,4564,3378,10694,3416,3825,3766,10364,4561,10315,10688,10691,4123,4555,4536,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,4580,3581,10655,10658,4577,4579,10596,3785,4575,10337,10340,10682,3760,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632])). % 197.39/197.48 cnf(10792,plain, % 197.39/197.48 (P1(f341(f341(f241(a1),x107921),x107921))), % 197.39/197.48 inference(rename_variables,[],[3312])). % 197.39/197.48 cnf(10797,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x107971),f2(a881)))), % 197.39/197.48 inference(rename_variables,[],[4548])). % 197.39/197.48 cnf(10812,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x108121),f2(a881)))), % 197.39/197.48 inference(rename_variables,[],[4548])). % 197.39/197.48 cnf(10815,plain, % 197.39/197.48 (~P1(f341(f341(f242(f889(x108151,a874)),x108152),f193(f889(x108151,a874))))), % 197.39/197.48 inference(rename_variables,[],[4572])). % 197.39/197.48 cnf(10818,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),x108181),x108181))), % 197.39/197.48 inference(rename_variables,[],[3311])). % 197.39/197.48 cnf(10821,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),x108211),x108211))), % 197.39/197.48 inference(rename_variables,[],[3311])). % 197.39/197.48 cnf(10836,plain, % 197.39/197.48 (E(f341(f341(f317(x108361,x108361),f34(x108361)),x108362),x108362)), % 197.39/197.48 inference(rename_variables,[],[3326])). % 197.39/197.48 cnf(10839,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x108391),x108391))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(10848,plain, % 197.39/197.48 (~P1(f341(f341(f344(x108481),x108482),f193(f889(x108481,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(10853,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),x108531),x108531))), % 197.39/197.48 inference(rename_variables,[],[3311])). % 197.39/197.48 cnf(10856,plain, % 197.39/197.48 (~P1(f341(f341(f344(x108561),x108562),f193(f889(x108561,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(10858,plain, % 197.39/197.48 (P1(f341(f341(f294(a1),f341(f116(a1),f341(a119,f341(f85(a1),x108581)))),x108581))), % 197.39/197.48 inference(scs_inference,[],[4476,10260,10270,10281,10292,10391,10394,10397,4489,10479,3118,4325,3271,10327,10330,10418,10421,3160,3549,3215,3154,3182,3165,3326,3246,3266,10515,4559,3212,10383,4446,4084,3934,4400,10445,4581,3232,3673,3619,3384,10402,10510,10590,10663,10666,10700,10789,3762,3293,4548,10295,10298,10324,10442,10599,10797,4568,3750,3524,3891,3340,3342,3314,4545,4494,4052,4045,4572,3310,10411,10499,10649,3311,10769,10818,10821,3312,10492,10712,3313,4544,10361,10450,10555,10585,3474,10578,4564,10848,3378,10694,3416,3825,3766,10364,4561,10315,10688,10691,4123,4555,4536,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,4580,3581,10655,10658,4577,4579,10596,3785,4575,10337,10340,10682,3760,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916])). % 197.39/197.48 cnf(10859,plain, % 197.39/197.48 (P1(f341(f341(f294(a881),x108591),x108591))), % 197.39/197.48 inference(rename_variables,[],[3313])). % 197.39/197.48 cnf(10862,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x108621,a874)),f341(f341(f317(x108622,x108621),x108623),f341(f320(x108622,x108621,x108623),x108624))),x108624))), % 197.39/197.48 inference(rename_variables,[],[4172])). % 197.39/197.48 cnf(10871,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x108711,a874)),f341(f176(x108711),f341(f141(x108711,x108712),x108713))),f341(f176(x108711),x108713)))), % 197.39/197.48 inference(rename_variables,[],[3944])). % 197.39/197.48 cnf(10876,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),f2(a881)),x108761))), % 197.39/197.48 inference(rename_variables,[],[3334])). % 197.39/197.48 cnf(10879,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),x108791),x108791))), % 197.39/197.48 inference(rename_variables,[],[3311])). % 197.39/197.48 cnf(10882,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x108821),x108821))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(10886,plain, % 197.39/197.48 (E(f341(f341(f137(a881),f144(a881,f341(f309(a881,x108861),x108861))),f341(f341(f156(a881),x108861),f129(a881))),f144(a881,f341(f309(a881,x108861),f341(a128,x108861))))), % 197.39/197.48 inference(scs_inference,[],[4476,10260,10270,10281,10292,10391,10394,10397,4489,10479,3118,4325,3271,10327,10330,10418,10421,3160,3549,3215,3154,3182,3165,3326,3246,3266,10515,4559,3212,10383,4446,4084,3934,4400,10445,4581,3232,3514,3673,3619,3384,10402,10510,10590,10663,10666,10700,10789,3762,3293,4548,10295,10298,10324,10442,10599,10797,4568,3750,3524,3891,3340,3342,3314,4545,4494,4052,3944,4045,4572,3310,10411,10499,10649,3311,10769,10818,10821,10853,10879,3312,10492,10712,3313,4544,10361,10450,10555,10585,10839,3474,10578,4564,10848,3378,10694,3416,3825,3766,10364,4561,10315,10688,10691,3334,4123,4555,4536,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,4580,3581,10655,10658,4577,4579,10596,4172,3785,4575,10337,10340,10682,3760,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206])). % 197.39/197.48 cnf(10889,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x108891),x108891))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(10900,plain, % 197.39/197.48 (P1(f341(f341(f242(a881),x109001),f341(a128,f341(f341(f91(a881),x109002),x109001))))), % 197.39/197.48 inference(rename_variables,[],[3760])). % 197.39/197.48 cnf(10903,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),x109031),f341(f341(f92(a881),x109031),x109031)))), % 197.39/197.48 inference(rename_variables,[],[3581])). % 197.39/197.48 cnf(10913,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),x109131),x109131))), % 197.39/197.48 inference(rename_variables,[],[3311])). % 197.39/197.48 cnf(10915,plain, % 197.39/197.48 (P1(f341(f341(f242(a1),x109151),f341(f341(f91(a1),x109151),f89(a1))))), % 197.39/197.48 inference(scs_inference,[],[4476,10260,10270,10281,10292,10391,10394,10397,4489,10479,3118,4325,3271,10327,10330,10418,10421,3160,3549,3215,3154,3182,3165,3326,3246,3266,10515,4559,3212,10383,4446,4084,3934,4400,10445,4581,3232,3514,3673,3619,3384,10402,10510,10590,10663,10666,10700,10789,3762,3293,4548,10295,10298,10324,10442,10599,10797,10812,4568,3750,3524,3891,3340,3342,3314,4545,4494,4052,3944,4045,4572,3310,10411,10499,10649,3311,10769,10818,10821,10853,10879,3312,10492,10712,10792,3313,4544,10361,10450,10555,10585,10839,10882,3474,10578,4564,10848,10856,3378,10694,3416,3825,3766,10364,4561,10315,10688,10691,3334,4123,4555,4536,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,4580,3581,10655,10658,10727,10903,4577,4579,10596,4172,3785,4575,10337,10340,10682,3760,10652,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427])). % 197.39/197.48 cnf(10916,plain, % 197.39/197.48 (P1(f341(f341(f241(a1),x109161),x109161))), % 197.39/197.48 inference(rename_variables,[],[3312])). % 197.39/197.48 cnf(10921,plain, % 197.39/197.48 (P1(f341(f341(f294(a881),x109211),x109211))), % 197.39/197.48 inference(rename_variables,[],[3313])). % 197.39/197.48 cnf(10924,plain, % 197.39/197.48 (P1(f341(f341(f344(x109241),x109242),f249(f889(x109241,a874))))), % 197.39/197.48 inference(rename_variables,[],[3474])). % 197.39/197.48 cnf(10927,plain, % 197.39/197.48 (E(f341(f341(f82(x109271,x109272,x109271),x109273),f34(x109271)),x109273)), % 197.39/197.48 inference(rename_variables,[],[3564])). % 197.39/197.48 cnf(10935,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x109351),f2(a881)))), % 197.39/197.48 inference(rename_variables,[],[4548])). % 197.39/197.48 cnf(10954,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),x109541),x109541))), % 197.39/197.48 inference(rename_variables,[],[3311])). % 197.39/197.48 cnf(10963,plain, % 197.39/197.48 (~P1(f341(f341(f344(x109631),x109632),f193(f889(x109631,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(10971,plain, % 197.39/197.48 (P1(f341(f341(f344(x109711),x109712),f249(f889(x109711,a874))))), % 197.39/197.48 inference(rename_variables,[],[3474])). % 197.39/197.48 cnf(10974,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(f883(x109741),f883(x109741))),f341(f341(f257(f883(x109741),f883(x109741)),x109742),f129(x109741))),f150(x109741,x109743)))), % 197.39/197.48 inference(rename_variables,[],[4581])). % 197.39/197.48 cnf(10980,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(x109801,x109801)),x109802),f271(x109801,f193(f889(x109801,a874)))))), % 197.39/197.48 inference(scs_inference,[],[4476,10260,10270,10281,10292,10391,10394,10397,4489,10479,3118,4325,3271,10327,10330,10418,10421,3564,10927,3160,3549,3215,3154,3182,3165,3326,3246,3266,10515,4559,3212,10383,4446,4084,3934,4400,10445,4581,3232,3514,3673,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,3762,3293,4548,10295,10298,10324,10442,10599,10797,10812,4568,3750,3524,3891,3340,3342,3314,4545,4494,4052,3944,10871,3674,4045,4572,3310,10411,10499,10649,3311,10769,10818,10821,10853,10879,10913,3312,10492,10712,10792,3313,10859,4544,10361,10450,10555,10585,10839,10882,3474,10578,10669,10924,4564,10848,10856,10963,3378,10694,3416,3825,3766,10364,4561,10315,10688,10691,3334,4123,4555,4536,3856,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,4580,3581,10655,10658,10727,10903,4577,4579,10596,4172,3785,4575,10337,10340,10682,3760,10652,4027,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918])). % 197.39/197.48 cnf(10981,plain, % 197.39/197.48 (~P1(f341(f341(f344(x109811),x109812),f193(f889(x109811,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(10983,plain, % 197.39/197.48 (~P1(f341(f341(f344(x109831),x109832),f341(f320(x109831,x109833,x109834),f193(f889(x109833,a874)))))), % 197.39/197.48 inference(scs_inference,[],[4476,10260,10270,10281,10292,10391,10394,10397,4489,10479,3118,4325,3271,10327,10330,10418,10421,3564,10927,3160,3549,3215,3154,3182,3165,3326,3246,3266,10515,4559,3212,10383,4446,4084,3934,4400,10445,4581,3232,3514,3673,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,3762,3293,4548,10295,10298,10324,10442,10599,10797,10812,4568,3750,3524,3891,3340,3342,3314,4545,4494,4052,3944,10871,3674,4045,4572,3310,10411,10499,10649,3311,10769,10818,10821,10853,10879,10913,3312,10492,10712,10792,3313,10859,4544,10361,10450,10555,10585,10839,10882,3474,10578,10669,10924,4564,10848,10856,10963,10981,3378,10694,3416,3825,3766,10364,4561,10315,10688,10691,3334,4123,4555,4536,3856,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,4580,3581,10655,10658,10727,10903,4577,4579,10596,4172,3785,4575,10337,10340,10682,3760,10652,4027,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951])). % 197.39/197.48 cnf(10984,plain, % 197.39/197.48 (~P1(f341(f341(f344(x109841),x109842),f193(f889(x109841,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(10987,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x109871,a874)),x109872),f341(f341(f318(x109871),x109873),x109872)))), % 197.39/197.48 inference(rename_variables,[],[3758])). % 197.39/197.48 cnf(10990,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),x109901),x109901))), % 197.39/197.48 inference(rename_variables,[],[3311])). % 197.39/197.48 cnf(10993,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x109931,a874)),x109932),f341(f341(f318(x109931),x109933),x109932)))), % 197.39/197.48 inference(rename_variables,[],[3758])). % 197.39/197.48 cnf(10999,plain, % 197.39/197.48 (E(f341(x109991,f389(f249(f889(x109992,a874)),x109991,x109992,f341(x109991,x109993))),f341(x109991,x109993))), % 197.39/197.48 inference(scs_inference,[],[4476,10260,10270,10281,10292,10391,10394,10397,4489,10479,3118,4325,3168,3271,10327,10330,10418,10421,3564,10927,3160,3549,3215,3154,3182,3165,3326,3246,3266,10515,4559,3212,10383,4446,4084,3934,4400,10445,4581,3232,3514,3673,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,3762,3293,4548,10295,10298,10324,10442,10599,10797,10812,4568,3750,3524,3891,3340,3342,3314,4545,4494,4052,3944,10871,3674,4045,4572,3310,10411,10499,10649,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,3313,10859,4544,10361,10450,10555,10585,10839,10882,3474,10578,10669,10924,4564,10848,10856,10963,10981,3378,10694,3416,3825,3766,10364,4561,10315,10688,10691,3334,4123,4555,4536,3856,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,4580,3878,3758,10987,3581,10655,10658,10727,10903,4577,4579,10596,4172,3785,4575,10337,10340,10682,3760,10652,4027,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102])). % 197.39/197.48 cnf(11008,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x110081,a874)),x110082),f341(f341(f318(x110081),x110083),x110082)))), % 197.39/197.48 inference(rename_variables,[],[3758])). % 197.39/197.48 cnf(11011,plain, % 197.39/197.48 (~P1(f341(f73(x110111,x110112,f193(f889(x110111,a874))),x110113))), % 197.39/197.48 inference(rename_variables,[],[4574])). % 197.39/197.48 cnf(11024,plain, % 197.39/197.48 (P1(f341(f341(f242(a881),x110241),f341(a128,x110241)))), % 197.39/197.48 inference(rename_variables,[],[3384])). % 197.39/197.48 cnf(11031,plain, % 197.39/197.48 (~P1(f341(f341(f344(x110311),x110312),f193(f889(x110311,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11034,plain, % 197.39/197.48 (P1(f341(f341(f344(f888(x110341,x110341)),f341(f341(f257(x110341,x110341),x110342),x110342)),f315(x110341,x110343)))), % 197.39/197.48 inference(rename_variables,[],[3934])). % 197.39/197.48 cnf(11040,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x110401,a874)),x110402),f249(f889(x110401,a874))))), % 197.39/197.48 inference(rename_variables,[],[3693])). % 197.39/197.48 cnf(11043,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x110431,a874)),f341(f176(x110431),f178(x110431,x110432,x110433))),f341(f176(x110431),x110432)))), % 197.39/197.48 inference(rename_variables,[],[3994])). % 197.39/197.48 cnf(11050,plain, % 197.39/197.48 (~E(f341(a128,x110501),x110501)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11063,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x110631,a874)),f193(f889(x110631,a874))),x110632))), % 197.39/197.48 inference(rename_variables,[],[3759])). % 197.39/197.48 cnf(11074,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(f883(x110741),f883(x110741))),f341(f341(f257(f883(x110741),f883(x110741)),x110742),f129(x110741))),f152(x110741,x110743)))), % 197.39/197.48 inference(rename_variables,[],[4582])). % 197.39/197.48 cnf(11085,plain, % 197.39/197.48 (~E(f341(a128,x110851),x110851)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11088,plain, % 197.39/197.48 (~E(f341(a128,x110881),x110881)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11095,plain, % 197.39/197.48 (~E(f341(a26,x110951),f33(x110952,x110953))), % 197.39/197.48 inference(rename_variables,[],[4489])). % 197.39/197.48 cnf(11105,plain, % 197.39/197.48 (~E(f341(f341(f317(x111051,f889(x111051,a874)),x111052),x111053),f341(f316(x111051),x111053))), % 197.39/197.48 inference(rename_variables,[],[4562])). % 197.39/197.48 cnf(11112,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x111121),x111121))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(11115,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x111151,a874)),x111152),f249(f889(x111151,a874))))), % 197.39/197.48 inference(rename_variables,[],[3693])). % 197.39/197.48 cnf(11127,plain, % 197.39/197.48 (P18(x111271,x111271,f34(x111271),x111272)), % 197.39/197.48 inference(rename_variables,[],[3554])). % 197.39/197.48 cnf(11130,plain, % 197.39/197.48 (~P1(f341(f341(f241(a881),f341(a128,x111301)),x111301))), % 197.39/197.48 inference(rename_variables,[],[4561])). % 197.39/197.48 cnf(11133,plain, % 197.39/197.48 (~P1(f341(f341(f242(f889(x111331,a874)),x111332),f193(f889(x111331,a874))))), % 197.39/197.48 inference(rename_variables,[],[4572])). % 197.39/197.48 cnf(11138,plain, % 197.39/197.48 (~P1(f341(f341(f344(x111381),x111382),f193(f889(x111381,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11148,plain, % 197.39/197.48 (~P1(f341(f341(f344(a881),f341(a128,f341(f147(a881,a881,f91(a881),f2(a881)),x111481))),f341(f176(a881),x111481)))), % 197.39/197.48 inference(scs_inference,[],[3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,4489,10479,10573,11095,3118,4325,3168,3271,10327,10330,10418,10421,3564,10927,3160,3549,3215,3154,3182,3165,3326,3246,3266,10515,4361,4559,3428,3212,10383,4446,4084,3934,11034,4400,10445,4581,10974,4582,3232,3514,3673,4562,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,3762,3293,4548,10295,10298,10324,10442,10599,10797,10812,10935,4568,3750,3524,3891,3340,3342,3314,4545,4494,4052,3944,10871,3994,3674,4045,3693,11040,4572,10815,3310,10411,10499,10649,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,3313,10859,4544,10361,10450,10555,10585,10839,10882,10889,3474,10578,10669,10924,10971,4564,10848,10856,10963,10981,10984,11031,3378,10694,3416,3825,3766,10364,4561,10315,10688,10691,11130,3334,4123,4555,4536,3856,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,10622,4580,3878,3758,10987,10993,3759,3581,10655,10658,10727,10903,4577,4579,10596,4172,3785,4575,10337,10340,10682,3760,10652,4027,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856])). % 197.39/197.48 cnf(11149,plain, % 197.39/197.48 (~P1(f341(f341(f241(a881),f341(a128,x111491)),x111491))), % 197.39/197.48 inference(rename_variables,[],[4561])). % 197.39/197.48 cnf(11152,plain, % 197.39/197.48 (~P1(f341(f341(f344(x111521),x111522),f193(f889(x111521,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11161,plain, % 197.39/197.48 (P1(f341(f341(f344(f888(x111611,x111611)),f341(f341(f257(x111611,x111611),x111612),x111612)),f315(x111611,x111613)))), % 197.39/197.48 inference(rename_variables,[],[3934])). % 197.39/197.48 cnf(11168,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(f883(x111681),f883(x111681))),f341(f341(f257(f883(x111681),f883(x111681)),x111682),f129(x111681))),f150(x111681,x111683)))), % 197.39/197.48 inference(rename_variables,[],[4581])). % 197.39/197.48 cnf(11171,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(f883(x111711),f883(x111711))),f341(f341(f257(f883(x111711),f883(x111711)),x111712),f129(x111711))),f152(x111711,x111713)))), % 197.39/197.48 inference(rename_variables,[],[4582])). % 197.39/197.48 cnf(11174,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(f883(x111741),f883(x111741))),f341(f341(f257(f883(x111741),f883(x111741)),x111742),f129(x111741))),f162(x111741,x111743)))), % 197.39/197.48 inference(rename_variables,[],[4583])). % 197.39/197.48 cnf(11176,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(f883(x111761),f883(x111761))),f341(f341(f257(f883(x111761),f883(x111761)),f129(x111761)),x111762)),f341(f293(f883(x111761),f883(x111761)),f150(x111761,x111763))))), % 197.39/197.48 inference(scs_inference,[],[3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,4489,10479,10573,11095,3118,4325,3168,3271,10327,10330,10418,10421,3564,10927,3160,3549,3215,3154,3182,3165,3326,3246,3266,10515,4361,4559,3428,3212,10383,4446,4084,3934,11034,4400,10445,4581,10974,11168,4582,11074,4583,3232,3514,3673,4562,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,3762,3293,4548,10295,10298,10324,10442,10599,10797,10812,10935,4568,3750,3524,3891,3340,3342,3314,4545,4494,4052,3944,10871,3994,3674,4045,3693,11040,4572,10815,3310,10411,10499,10649,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,3313,10859,4544,10361,10450,10555,10585,10839,10882,10889,3474,10578,10669,10924,10971,4564,10848,10856,10963,10981,10984,11031,11138,3378,10694,3416,3825,3766,10364,4561,10315,10688,10691,11130,3334,4123,4555,4536,3856,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,10622,4580,3878,3758,10987,10993,3759,3581,10655,10658,10727,10903,4577,4579,10596,4172,3785,4575,10337,10340,10682,3760,10652,4027,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068])). % 197.39/197.48 cnf(11185,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x111851,a874)),x111852),f249(f889(x111851,a874))))), % 197.39/197.48 inference(rename_variables,[],[3693])). % 197.39/197.48 cnf(11188,plain, % 197.39/197.48 (~P1(f341(f341(f193(f889(x111881,f889(x111882,a874))),x111883),x111884))), % 197.39/197.48 inference(rename_variables,[],[4579])). % 197.39/197.48 cnf(11190,plain, % 197.39/197.48 (~P56(f883(x111901),f163(x111901,x111902))), % 197.39/197.48 inference(scs_inference,[],[3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,4489,10479,10573,11095,3118,4325,3168,3271,10327,10330,10418,10421,3564,10927,3160,3549,3215,3154,3182,3165,3326,3246,3266,10515,4361,4559,3428,3212,10383,4446,4084,3934,11034,4400,10445,4581,10974,11168,4582,11074,4583,3232,3514,3673,4562,4120,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,3762,3293,4548,10295,10298,10324,10442,10599,10797,10812,10935,4568,3750,3524,3891,3340,3342,3314,4545,4494,4052,3944,10871,3994,3674,4045,3693,11040,11115,4572,10815,3310,10411,10499,10649,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,3313,10859,4544,10361,10450,10555,10585,10839,10882,10889,3474,10578,10669,10924,10971,4564,10848,10856,10963,10981,10984,11031,11138,3378,10694,3416,3825,3766,10364,4561,10315,10688,10691,11130,3334,4123,4555,4536,3856,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,10622,4580,3878,3758,10987,10993,3759,3581,10655,10658,10727,10903,4577,4579,10596,10782,4172,3785,4575,10337,10340,10682,3760,10652,4027,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188])). % 197.39/197.48 cnf(11192,plain, % 197.39/197.48 (E(f341(f341(f317(x111921,x111922),x111923),f390(x111924,x111923,x111921,f341(f341(f317(x111921,x111922),x111923),x111924),x111922)),f341(f341(f317(x111921,x111922),x111923),x111924))), % 197.39/197.48 inference(scs_inference,[],[3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,4489,10479,10573,11095,3118,4325,3168,3271,10327,10330,10418,10421,3564,10927,3160,3549,3215,3154,3182,3165,3326,3246,3266,10515,4361,4559,3428,3212,10383,4446,4084,3934,11034,4400,10445,4581,10974,11168,4582,11074,4583,3232,3514,3673,4562,4120,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,3762,3293,4548,10295,10298,10324,10442,10599,10797,10812,10935,4568,3750,3524,3891,3340,3342,3314,4545,4494,4052,3944,10871,3994,3674,4045,3693,11040,11115,4572,10815,3310,10411,10499,10649,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,3313,10859,4544,10361,10450,10555,10585,10839,10882,10889,3474,10578,10669,10924,10971,4564,10848,10856,10963,10981,10984,11031,11138,3378,10694,3416,3825,3766,10364,4561,10315,10688,10691,11130,3334,4123,4555,4536,3856,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,10622,4580,3878,3758,10987,10993,3613,3759,3581,10655,10658,10727,10903,4577,4579,10596,10782,4172,3785,4575,10337,10340,10682,3760,10652,4027,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211])). % 197.39/197.48 cnf(11193,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x111931,a874)),x111932),x111932))), % 197.39/197.48 inference(rename_variables,[],[3613])). % 197.39/197.48 cnf(11196,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x111961),x111961))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(11199,plain, % 197.39/197.48 (~P1(f341(f341(f344(x111991),x111992),f193(f889(x111991,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11202,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(x112021,x112021)),f341(f341(f257(x112021,x112021),x112022),x112023)),f158(x112021,f129(f889(x112021,a881)))))), % 197.39/197.48 inference(rename_variables,[],[4580])). % 197.39/197.48 cnf(11205,plain, % 197.39/197.48 (E(f327(x112051,x112052,x112053,f341(f341(f10(f887(x112051,x112053),x112052,x112051),x112054),f319(x112051,x112053)),f341(f341(f10(f887(x112051,x112053),x112052,x112053),x112054),f323(x112053,x112051))),x112054)), % 197.39/197.48 inference(rename_variables,[],[4161])). % 197.39/197.48 cnf(11211,plain, % 197.39/197.48 (~P1(f341(f341(f344(x112111),x112112),f193(f889(x112111,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11213,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x112131,a874)),f341(f292(x112132,x112131,f193(f889(f888(x112132,x112131),a874))),x112133)),x112134))), % 197.39/197.48 inference(scs_inference,[],[3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,4489,10479,10573,11095,3118,4325,3168,3271,10327,10330,10418,10421,3564,10927,3160,3549,3215,3154,3182,3165,4161,11205,3326,3246,3266,10515,4361,4559,3428,3212,10383,4446,4084,3934,11034,4400,10445,4581,10974,11168,4582,11074,4583,3232,3514,3673,4562,4120,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,3762,3293,4548,10295,10298,10324,10442,10599,10797,10812,10935,4568,3750,3524,3891,3340,3342,3314,4545,4494,4052,3944,10871,3994,3674,4045,3693,11040,11115,4572,10815,3310,10411,10499,10649,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,3313,10859,4544,10361,10450,10555,10585,10839,10882,10889,11112,3474,10578,10669,10924,10971,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,3378,10694,3416,3825,3766,10364,4561,10315,10688,10691,11130,3334,4123,4555,4536,3856,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,10622,4580,3878,3758,10987,10993,3613,3759,11063,3581,10655,10658,10727,10903,4577,4579,10596,10782,4172,3785,4575,10337,10340,10682,3760,10652,4027,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290])). % 197.39/197.48 cnf(11214,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x112141,a874)),f193(f889(x112141,a874))),x112142))), % 197.39/197.48 inference(rename_variables,[],[3759])). % 197.39/197.48 cnf(11217,plain, % 197.39/197.48 (P1(f341(f341(f344(f888(x112171,x112171)),f341(f341(f257(x112171,x112171),x112172),x112172)),f315(x112171,x112173)))), % 197.39/197.48 inference(rename_variables,[],[3934])). % 197.39/197.48 cnf(11230,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(f883(x112301),f883(x112301))),f341(f341(f257(f883(x112301),f883(x112301)),x112302),f129(x112301))),f162(x112301,x112303)))), % 197.39/197.48 inference(rename_variables,[],[4583])). % 197.39/197.48 cnf(11243,plain, % 197.39/197.48 (P1(f341(f341(f344(x112431),x112432),f249(f889(x112431,a874))))), % 197.39/197.48 inference(rename_variables,[],[3474])). % 197.39/197.48 cnf(11248,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x112481,a874)),f193(f889(x112481,a874))),x112482))), % 197.39/197.48 inference(rename_variables,[],[3759])). % 197.39/197.48 cnf(11251,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x112511,a874)),x112512),f249(f889(x112511,a874))))), % 197.39/197.48 inference(rename_variables,[],[3693])). % 197.39/197.48 cnf(11254,plain, % 197.39/197.48 (~P1(f341(f341(f344(x112541),x112542),f193(f889(x112541,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11259,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x112591,a874)),f193(f889(x112591,a874))),x112592))), % 197.39/197.48 inference(rename_variables,[],[3759])). % 197.39/197.48 cnf(11270,plain, % 197.39/197.48 (~E(f341(f341(f54(x112701,x112702),x112703),x112704),f341(f49(x112701,x112702),x112705))), % 197.39/197.48 inference(rename_variables,[],[4559])). % 197.39/197.48 cnf(11273,plain, % 197.39/197.48 (P1(f341(f249(f889(x112731,a874)),x112732))), % 197.39/197.48 inference(rename_variables,[],[3378])). % 197.39/197.48 cnf(11276,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(f883(x112761),f883(x112761))),f341(f341(f257(f883(x112761),f883(x112761)),x112762),f129(x112761))),f150(x112761,x112763)))), % 197.39/197.48 inference(rename_variables,[],[4581])). % 197.39/197.48 cnf(11279,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(f883(x112791),f883(x112791))),f341(f341(f257(f883(x112791),f883(x112791)),x112792),f129(x112791))),f152(x112791,x112793)))), % 197.39/197.48 inference(rename_variables,[],[4582])). % 197.39/197.48 cnf(11284,plain, % 197.39/197.48 (~E(f341(a128,x112841),x112841)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11287,plain, % 197.39/197.48 (~P1(f341(f341(f344(x112871),x112872),f193(f889(x112871,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11289,plain, % 197.39/197.48 (~P1(f341(f341(f344(x112891),x112892),f341(f292(x112893,x112891,x112894),f341(f292(x112895,x112893,x112896),f193(f889(x112895,a874))))))), % 197.39/197.48 inference(scs_inference,[],[3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,4489,10479,10573,11095,3118,4325,3168,3271,10327,10330,10418,10421,3564,10927,3160,3549,3215,3154,3182,3165,4161,11205,3326,3246,3266,10515,4361,4559,10318,3428,3212,10383,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,4582,11074,11171,4583,11174,4584,4585,3232,3514,3673,4562,4120,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,3762,3293,4548,10295,10298,10324,10442,10599,10797,10812,10935,4568,3750,3524,3891,3340,3342,3314,4545,4494,4052,3944,10871,3994,3674,4045,3693,11040,11115,11185,4572,10815,11133,3310,10411,10499,10649,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,3313,10859,4544,10361,10450,10555,10585,10839,10882,10889,11112,3474,10578,10669,10924,10971,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,3378,10694,10724,3416,3825,3766,10364,4561,10315,10688,10691,11130,3334,4123,4555,4536,3856,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,10622,4580,3878,3758,10987,10993,3613,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,4579,10596,10782,4172,4086,3785,4575,10337,10340,10682,3760,10652,4027,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683])). % 197.39/197.48 cnf(11292,plain, % 197.39/197.48 (P1(f341(f341(f241(f889(x112921,a874)),x112922),x112922))), % 197.39/197.48 inference(rename_variables,[],[3613])). % 197.39/197.48 cnf(11295,plain, % 197.39/197.48 (P1(f341(f341(f344(f888(f883(x112951),f883(x112951))),f341(f341(f257(f883(x112951),f883(x112951)),x112952),x112952)),f163(x112951,f315(x112951,x112953))))), % 197.39/197.48 inference(rename_variables,[],[4078])). % 197.39/197.48 cnf(11303,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(x113031,x113031)),f341(f341(f257(x113031,x113031),x113032),x113033)),f158(x113031,f129(f889(x113031,a881)))))), % 197.39/197.48 inference(rename_variables,[],[4580])). % 197.39/197.48 cnf(11306,plain, % 197.39/197.48 (~P1(f341(f341(f344(x113061),x113062),f193(f889(x113061,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11309,plain, % 197.39/197.48 (~P1(f341(f341(f344(x113091),x113092),f193(f889(x113091,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11312,plain, % 197.39/197.48 (P1(f341(f341(f344(x113121),x113122),f249(f889(x113121,a874))))), % 197.39/197.48 inference(rename_variables,[],[3474])). % 197.39/197.48 cnf(11315,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x113151),f2(a881)))), % 197.39/197.48 inference(rename_variables,[],[4548])). % 197.39/197.48 cnf(11319,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(f883(x113191),f883(x113191))),f341(f341(f257(f883(x113191),f883(x113191)),x113192),x113193)),f162(x113191,f158(x113191,f129(f889(x113191,a881))))))), % 197.39/197.48 inference(scs_inference,[],[3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,4489,10479,10573,11095,3118,4325,3168,3271,10327,10330,10418,10421,3564,10927,3160,3549,3215,3154,3182,3165,4161,11205,3326,3246,3266,10515,4361,4559,10318,3428,3212,10383,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,4582,11074,11171,4583,11174,4584,4585,3232,3514,3673,4562,4120,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,3762,3293,4548,10295,10298,10324,10442,10599,10797,10812,10935,4568,3750,3524,3891,3340,3342,3314,4545,4494,4078,11295,4052,3944,10871,3994,3674,4045,3693,11040,11115,11185,4572,10815,11133,3310,10411,10499,10649,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,3313,10859,4544,10361,10450,10555,10585,10839,10882,10889,11112,3474,10578,10669,10924,10971,11243,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,3378,10694,10724,3416,3825,3766,10364,4561,10315,10688,10691,11130,3334,4123,4555,4536,3856,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,10622,4580,11202,11303,3878,3758,10987,10993,3613,11193,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,4579,10596,10782,4172,4086,3785,4575,10337,10340,10682,3760,10652,4027,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865])). % 197.39/197.48 cnf(11320,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(x113201,x113201)),f341(f341(f257(x113201,x113201),x113202),x113203)),f158(x113201,f129(f889(x113201,a881)))))), % 197.39/197.48 inference(rename_variables,[],[4580])). % 197.39/197.48 cnf(11329,plain, % 197.39/197.48 (~E(f341(f319(x113291,x113292),x113293),f341(f323(x113292,x113291),x113294))), % 197.39/197.48 inference(rename_variables,[],[4533])). % 197.39/197.48 cnf(11332,plain, % 197.39/197.48 (~E(f341(f319(x113321,x113322),x113323),f341(f323(x113322,x113321),x113324))), % 197.39/197.48 inference(rename_variables,[],[4533])). % 197.39/197.48 cnf(11337,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(f883(x113371),f883(x113371))),f341(f341(f257(f883(x113371),f883(x113371)),x113372),f129(x113371))),f150(x113371,x113373)))), % 197.39/197.48 inference(rename_variables,[],[4581])). % 197.39/197.48 cnf(11343,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(f883(x113431),f883(x113431))),f341(f341(f257(f883(x113431),f883(x113431)),x113432),f129(x113431))),f150(x113431,x113433)))), % 197.39/197.48 inference(rename_variables,[],[4581])). % 197.39/197.48 cnf(11346,plain, % 197.39/197.48 (~P1(f341(f341(f344(x113461),x113462),f193(f889(x113461,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11358,plain, % 197.39/197.48 (~P1(f341(f341(f344(f888(x113581,x113582)),x113583),f341(f341(f296(x113581,x113584,x113582),f193(f889(f888(x113581,x113584),a874))),x113585)))), % 197.39/197.48 inference(scs_inference,[],[3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,4489,10479,10573,11095,3118,3493,4325,3168,3271,10327,10330,10418,10421,3564,10927,3160,4533,11329,3549,3215,3154,3182,3165,4161,11205,3326,3246,3266,10515,4361,4559,10318,11270,3428,3212,10383,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,11276,11337,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4562,4120,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,3762,3293,4548,10295,10298,10324,10442,10599,10797,10812,10935,4568,3750,3524,3891,3340,3342,3314,4545,4494,4078,11295,4052,3944,10871,3994,3674,4045,3693,11040,11115,11185,4572,10815,11133,3310,10411,10499,10649,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,3313,10859,10921,4544,10361,10450,10555,10585,10839,10882,10889,11112,3474,10578,10669,10924,10971,11243,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,3378,10694,10724,3416,3825,3766,10364,4561,10315,10688,10691,11130,3334,4123,4555,4536,3856,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,10622,4580,11202,11303,3878,3758,10987,10993,3613,11193,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,4579,10596,10782,4172,4086,3785,4575,10337,10340,10682,3760,10652,4027,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175])). % 197.39/197.48 cnf(11359,plain, % 197.39/197.48 (~P1(f341(f341(f344(x113591),x113592),f193(f889(x113591,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11362,plain, % 197.39/197.48 (~P1(f341(f341(f344(x113621),x113622),f193(f889(x113621,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11365,plain, % 197.39/197.48 (~P1(f341(f341(f344(x113651),x113652),f193(f889(x113651,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11368,plain, % 197.39/197.48 (~P1(f341(f341(f344(x113681),x113682),f193(f889(x113681,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11371,plain, % 197.39/197.48 (P1(f341(f341(f344(x113711),f341(x113712,x113713)),f341(f341(f317(x113714,x113711),x113712),f249(f889(x113714,a874)))))), % 197.39/197.48 inference(rename_variables,[],[3878])). % 197.39/197.48 cnf(11374,plain, % 197.39/197.48 (~P1(f341(f341(f344(x113741),x113742),f193(f889(x113741,a874))))), % 197.39/197.48 inference(rename_variables,[],[4564])). % 197.39/197.48 cnf(11387,plain, % 197.39/197.48 (E(f130(x113871,f129(x113871)),f129(x113871))), % 197.39/197.48 inference(rename_variables,[],[3168])). % 197.39/197.48 cnf(11390,plain, % 197.39/197.48 (~E(f341(a128,x113901),x113901)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11397,plain, % 197.39/197.48 (~E(f341(a128,x113971),x113971)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11402,plain, % 197.39/197.48 (E(f341(f270(x114021,x114021),f271(x114021,x114022)),x114022)), % 197.39/197.48 inference(rename_variables,[],[3271])). % 197.39/197.48 cnf(11405,plain, % 197.39/197.48 (E(f341(f270(x114051,x114051),f271(x114051,x114052)),x114052)), % 197.39/197.48 inference(rename_variables,[],[3271])). % 197.39/197.48 cnf(11411,plain, % 197.39/197.48 (~E(f341(a128,x114111),x114111)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11416,plain, % 197.39/197.48 (~E(f341(f341(f91(a1),x114161),x114161),a100)), % 197.39/197.48 inference(rename_variables,[],[4497])). % 197.39/197.48 cnf(11423,plain, % 197.39/197.48 (E(f341(f341(f3(a881),f2(a881)),x114231),f2(a881))), % 197.39/197.48 inference(rename_variables,[],[3235])). % 197.39/197.48 cnf(11426,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x114261),f2(a881)))), % 197.39/197.48 inference(rename_variables,[],[4548])). % 197.39/197.48 cnf(11431,plain, % 197.39/197.48 (E(f341(f341(f91(a1),f341(f341(f92(a1),x114311),f341(f341(f38(a1),x114312),x114311))),f57(a1,x114312,x114311)),x114312)), % 197.39/197.48 inference(rename_variables,[],[3854])). % 197.39/197.48 cnf(11451,plain, % 197.39/197.48 (~E(f341(a128,x114511),x114511)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11454,plain, % 197.39/197.48 (~E(f341(a128,x114541),x114541)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11476,plain, % 197.39/197.48 (~E(f341(a128,x114761),x114761)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11479,plain, % 197.39/197.48 (~E(f341(f341(f156(x114791),x114792),x114793),x114793)), % 197.39/197.48 inference(rename_variables,[],[4499])). % 197.39/197.48 cnf(11486,plain, % 197.39/197.48 (~P1(f341(f73(x114861,x114862,f193(f889(x114861,a874))),x114863))), % 197.39/197.48 inference(rename_variables,[],[4574])). % 197.39/197.48 cnf(11489,plain, % 197.39/197.48 (~P1(f341(f341(f193(f889(x114891,f889(x114892,a874))),x114893),x114894))), % 197.39/197.48 inference(rename_variables,[],[4579])). % 197.39/197.48 cnf(11492,plain, % 197.39/197.48 (P1(f341(f341(f242(a881),f2(a881)),f341(a128,x114921)))), % 197.39/197.48 inference(rename_variables,[],[3401])). % 197.39/197.48 cnf(11493,plain, % 197.39/197.48 (~E(f341(a128,x114931),x114931)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11496,plain, % 197.39/197.48 (P1(f341(f341(f344(x114961),x114962),f249(f889(x114961,a874))))), % 197.39/197.48 inference(rename_variables,[],[3474])). % 197.39/197.48 cnf(11508,plain, % 197.39/197.48 (P1(f341(f341(f199(a25),x115081),x115081))), % 197.39/197.48 inference(rename_variables,[],[3310])). % 197.39/197.48 cnf(11515,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x115151),f2(a881)))), % 197.39/197.48 inference(rename_variables,[],[4548])). % 197.39/197.48 cnf(11528,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),f341(f341(f91(a881),x115281),x115282)),x115282))), % 197.39/197.48 inference(rename_variables,[],[4575])). % 197.39/197.48 cnf(11531,plain, % 197.39/197.48 (~P1(f341(f341(f242(a1),f341(f116(a1),x115311)),f2(a1)))), % 197.39/197.48 inference(rename_variables,[],[4568])). % 197.39/197.48 cnf(11542,plain, % 197.39/197.48 (~E(f341(f341(f156(x115421),x115422),x115423),x115423)), % 197.39/197.48 inference(rename_variables,[],[4499])). % 197.39/197.48 cnf(11545,plain, % 197.39/197.48 (~E(f341(f341(f156(x115451),x115452),x115453),x115453)), % 197.39/197.48 inference(rename_variables,[],[4499])). % 197.39/197.48 cnf(11553,plain, % 197.39/197.48 (~E(f341(f341(f126(a881),f341(a128,x115531)),x115531),f341(a128,x115531))), % 197.39/197.48 inference(scs_inference,[],[4467,3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,4489,10479,10573,11095,3237,2930,2931,2937,2949,2952,2956,2957,2959,2966,2973,2978,2981,2982,3008,3057,3076,3091,3094,3097,3098,3101,3208,3118,4472,3493,4325,3168,11387,3271,10327,10330,10418,10421,10721,11402,3564,10927,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3326,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,3428,3211,3212,10383,10697,3136,3235,11423,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4562,4120,4497,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,3762,3293,3401,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,4568,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,4052,3944,10871,3994,3674,4045,3693,11040,11115,11185,4572,10815,11133,3310,10411,10499,10649,10707,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,3313,10859,10921,4544,10361,10450,10555,10585,10839,10882,10889,11112,3474,10578,10669,10924,10971,11243,11312,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,3378,10694,10724,3416,3825,3766,10364,4561,10315,10688,10691,11130,11149,3334,4123,4555,4536,3856,4538,3286,3287,4537,4540,4574,10286,10289,10536,10562,10593,10604,10622,11011,4580,11202,11303,3878,3758,10987,10993,3613,11193,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,4579,10596,10782,11188,4172,4086,3785,4575,10337,10340,10682,10685,3760,10652,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342])). % 197.39/197.48 cnf(11560,plain, % 197.39/197.48 (E(f341(f270(x115601,x115601),f271(x115601,x115602)),x115602)), % 197.39/197.48 inference(rename_variables,[],[3271])). % 197.39/197.48 cnf(11563,plain, % 197.39/197.48 (~P1(f341(f341(f242(a1),f341(f116(a1),x115631)),f2(a1)))), % 197.39/197.48 inference(rename_variables,[],[4568])). % 197.39/197.48 cnf(11568,plain, % 197.39/197.48 (~E(f341(a128,x115681),x115681)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11579,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x115791),x115791))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(11602,plain, % 197.39/197.48 (~P1(f341(f341(f242(a1),f341(f116(a1),x116021)),f2(a1)))), % 197.39/197.48 inference(rename_variables,[],[4568])). % 197.39/197.48 cnf(11615,plain, % 197.39/197.48 (P1(f341(f341(f241(a1),x116151),x116151))), % 197.39/197.48 inference(rename_variables,[],[3312])). % 197.39/197.48 cnf(11618,plain, % 197.39/197.48 (~P1(f341(f341(f241(a881),f341(a128,x116181)),x116181))), % 197.39/197.48 inference(rename_variables,[],[4561])). % 197.39/197.48 cnf(11619,plain, % 197.39/197.48 (~E(f341(a128,x116191),x116191)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11629,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),f341(f341(f91(a881),x116291),x116292)),x116291))), % 197.39/197.48 inference(rename_variables,[],[4576])). % 197.39/197.48 cnf(11632,plain, % 197.39/197.48 (~P1(f341(f341(f242(a1),f341(f116(a1),x116321)),f2(a1)))), % 197.39/197.48 inference(rename_variables,[],[4568])). % 197.39/197.48 cnf(11635,plain, % 197.39/197.48 (~E(f341(a128,x116351),x116351)), % 197.39/197.48 inference(rename_variables,[],[4476])). % 197.39/197.48 cnf(11648,plain, % 197.39/197.48 (P1(f341(f341(f344(x116481),x116482),f341(f341(f318(x116481),x116482),x116483)))), % 197.39/197.48 inference(rename_variables,[],[3627])). % 197.39/197.48 cnf(11649,plain, % 197.39/197.48 (~P1(f341(f341(f241(a1),f2(a1)),f341(f90(a1),f341(f116(a1),f341(a128,x116491)))))), % 197.39/197.48 inference(rename_variables,[],[4577])). % 197.39/197.48 cnf(11652,plain, % 197.39/197.48 (P1(f341(f341(f242(a881),f341(f341(f3(a881),x116521),x116522)),f341(a128,x116521)))), % 197.39/197.48 inference(rename_variables,[],[3762])). % 197.39/197.48 cnf(11655,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),f57(a881,x116551,x116552)),x116551))), % 197.39/197.48 inference(rename_variables,[],[3766])). % 197.39/197.48 cnf(11660,plain, % 197.39/197.48 (E(f341(f341(f137(x116601),f341(f270(x116602,x116602),f271(x116602,f341(f341(f137(x116601),x116603),x116604)))),f129(x116601)),f341(f341(f137(x116601),x116603),x116604))), % 197.39/197.48 inference(scs_inference,[],[4467,3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,4489,10479,10573,11095,3237,2930,2931,2937,2949,2952,2954,2956,2957,2959,2966,2973,2974,2978,2981,2982,3008,3054,3057,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3564,10927,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3326,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,3428,3211,3212,10383,10697,3478,3136,3235,11423,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4359,4360,4562,4120,4497,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,3762,3293,3401,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,4568,11531,11563,11602,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,4052,3944,10871,3994,3674,4045,3693,11040,11115,11185,4572,10815,11133,3310,10411,10499,10649,10707,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,10916,3313,10859,10921,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,3474,10578,10669,10924,10971,11243,11312,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,3378,10694,10724,3416,3825,3766,10364,4561,10315,10688,10691,11130,11149,3334,4123,4555,4536,3856,4538,3286,3287,4537,4540,3627,4574,10286,10289,10536,10562,10593,10604,10622,11011,4580,11202,11303,3878,3758,10987,10993,3613,11193,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,4579,10596,10782,11188,4172,4086,3785,4575,10337,10340,10682,10685,4576,3760,10652,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624])). % 197.39/197.48 cnf(11661,plain, % 197.39/197.48 (E(f341(f270(x116611,x116611),f271(x116611,x116612)),x116612)), % 197.39/197.48 inference(rename_variables,[],[3271])). % 197.39/197.48 cnf(11664,plain, % 197.39/197.48 (E(f250(x116641,x116642,f250(x116642,x116641,x116643)),x116643)), % 197.39/197.48 inference(rename_variables,[],[3413])). % 197.39/197.48 cnf(11668,plain, % 197.39/197.48 (~E(f341(f341(f156(x116681),x116682),x116683),x116683)), % 197.39/197.48 inference(rename_variables,[],[4499])). % 197.39/197.48 cnf(11671,plain, % 197.39/197.48 (E(f250(x116711,x116712,f250(x116712,x116711,x116713)),x116713)), % 197.39/197.48 inference(rename_variables,[],[3413])). % 197.39/197.48 cnf(11674,plain, % 197.39/197.48 (~P1(f341(f341(f241(a881),f341(a128,x116741)),x116741))), % 197.39/197.48 inference(rename_variables,[],[4561])). % 197.39/197.48 cnf(11683,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x116831),x116831))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(11686,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),f57(a881,x116861,x116862)),x116861))), % 197.39/197.48 inference(rename_variables,[],[3766])). % 197.39/197.48 cnf(11687,plain, % 197.39/197.48 (P1(f341(f341(f241(a881),f2(a881)),x116871))), % 197.39/197.48 inference(rename_variables,[],[3334])). % 197.39/197.48 cnf(11704,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x117041),x117041))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(11707,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x117071),x117071))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(11710,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),x117101),x117101))), % 197.39/197.48 inference(rename_variables,[],[4544])). % 197.39/197.48 cnf(11713,plain, % 197.39/197.48 (P1(f341(f341(f344(x117131),f341(x117132,x117133)),f341(f341(f317(x117134,x117131),x117132),f249(f889(x117134,a874)))))), % 197.39/197.48 inference(rename_variables,[],[3878])). % 197.39/197.48 cnf(11714,plain, % 197.39/197.48 (~P1(f341(f341(f242(a881),f341(f341(f91(a881),x117141),x117142)),x117142))), % 197.39/197.48 inference(rename_variables,[],[4575])). % 197.39/197.48 cnf(11717,plain, % 197.39/197.48 (P1(f341(f341(f344(x117171),f341(x117172,x117173)),f341(f341(f317(x117174,x117171),x117172),f249(f889(x117174,a874)))))), % 197.39/197.48 inference(rename_variables,[],[3878])). % 197.50/197.48 cnf(11718,plain, % 197.50/197.48 (~P1(f341(f341(f241(a881),f341(a128,x117181)),x117181))), % 197.50/197.48 inference(rename_variables,[],[4561])). % 197.50/197.48 cnf(11723,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),f341(f341(f91(a881),x117231),x117232)),x117231))), % 197.50/197.48 inference(rename_variables,[],[4576])). % 197.50/197.48 cnf(11726,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x117261),x117261))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(11729,plain, % 197.50/197.48 (P1(f341(f341(f199(a25),x117291),x117291))), % 197.50/197.48 inference(rename_variables,[],[3310])). % 197.50/197.48 cnf(11731,plain, % 197.50/197.48 (E(f341(f341(f92(a881),x117311),f341(f341(f38(a881),x117311),x117311)),x117311)), % 197.50/197.48 inference(scs_inference,[],[4467,3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,4489,10479,10573,11095,3237,2930,2931,2937,2949,2952,2954,2956,2957,2959,2966,2973,2974,2977,2978,2981,2982,3008,3054,3057,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3413,11664,3564,10927,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3326,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,3428,3211,3212,10383,10697,3478,3136,3235,11423,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4359,4360,4562,4120,4497,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,3762,11652,3293,3401,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,4568,11531,11563,11602,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,4052,3944,10871,3994,3674,4045,3693,11040,11115,11185,4572,10815,11133,3310,10411,10499,10649,10707,11508,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,10916,3313,10859,10921,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,3474,10578,10669,10924,10971,11243,11312,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,3378,10694,10724,3416,3825,3766,10364,11655,4561,10315,10688,10691,11130,11149,11618,11674,3334,10876,4123,4555,4536,3856,4538,3286,3287,4537,4540,3627,4574,10286,10289,10536,10562,10593,10604,10622,11011,4580,11202,11303,3878,11371,11713,3758,10987,10993,3613,11193,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,4172,4086,3785,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903])). % 197.50/197.48 cnf(11736,plain, % 197.50/197.48 (P1(f341(f341(f344(x117361),x117362),f341(f341(f318(x117361),x117362),x117363)))), % 197.50/197.48 inference(rename_variables,[],[3627])). % 197.50/197.48 cnf(11744,plain, % 197.50/197.48 (~P1(f341(f341(f241(a881),f341(a128,x117441)),f2(a881)))), % 197.50/197.48 inference(scs_inference,[],[4467,3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,4489,10479,10573,11095,3237,2930,2931,2937,2949,2952,2954,2956,2957,2959,2966,2973,2974,2977,2978,2981,2982,3008,3054,3057,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3413,11664,3564,10927,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3326,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,3428,3211,3212,10383,10697,3478,3136,3235,11423,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4359,4360,4562,4120,4497,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,3762,11652,3293,3401,11492,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,4568,11531,11563,11602,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,4052,3944,10871,3994,3674,4045,3693,11040,11115,11185,4572,10815,11133,3310,10411,10499,10649,10707,11508,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,10916,3313,10859,10921,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,3474,10578,10669,10924,10971,11243,11312,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,3378,10694,10724,3416,3825,3766,10364,11655,4561,10315,10688,10691,11130,11149,11618,11674,3334,10876,4123,4555,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,4580,11202,11303,3878,11371,11713,3758,10987,10993,3613,11193,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,4172,4086,3785,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942])). % 197.50/197.48 cnf(11749,plain, % 197.50/197.48 (~P1(f341(f341(f344(x117491),x117492),f193(f889(x117491,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(11752,plain, % 197.50/197.48 (E(f341(f341(f18(x117521,x117522),x117523),x117524),x117523)), % 197.50/197.48 inference(rename_variables,[],[3300])). % 197.50/197.48 cnf(11755,plain, % 197.50/197.48 (E(f341(f341(f18(x117551,x117552),x117553),x117554),x117553)), % 197.50/197.48 inference(rename_variables,[],[3300])). % 197.50/197.48 cnf(11764,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),f341(f341(f38(a881),x117641),x117642)),x117641))), % 197.50/197.48 inference(rename_variables,[],[3736])). % 197.50/197.48 cnf(11765,plain, % 197.50/197.48 (P1(f341(f341(f242(a881),f2(a881)),f341(a128,x117651)))), % 197.50/197.48 inference(rename_variables,[],[3401])). % 197.50/197.48 cnf(11768,plain, % 197.50/197.48 (P1(f341(f341(f199(a25),x117681),x117681))), % 197.50/197.48 inference(rename_variables,[],[3310])). % 197.50/197.48 cnf(11771,plain, % 197.50/197.48 (P1(f341(f341(f241(a1),f341(f90(a1),f341(f116(a1),x117711))),f341(f116(a1),x117712)))), % 197.50/197.48 inference(rename_variables,[],[3786])). % 197.50/197.48 cnf(11774,plain, % 197.50/197.48 (~P1(f341(f341(f344(x117741),x117742),f193(f889(x117741,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(11795,plain, % 197.50/197.48 (P1(f341(f341(f199(a25),x117951),x117951))), % 197.50/197.48 inference(rename_variables,[],[3310])). % 197.50/197.48 cnf(11798,plain, % 197.50/197.48 (P1(f341(f341(f242(a881),x117981),f341(a128,x117981)))), % 197.50/197.48 inference(rename_variables,[],[3384])). % 197.50/197.48 cnf(11801,plain, % 197.50/197.48 (P1(f341(f341(f241(a1),x118011),x118011))), % 197.50/197.48 inference(rename_variables,[],[3312])). % 197.50/197.48 cnf(11812,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x118121),f2(a881)))), % 197.50/197.48 inference(rename_variables,[],[4548])). % 197.50/197.48 cnf(11815,plain, % 197.50/197.48 (P1(f341(f341(f241(a1),x118151),x118151))), % 197.50/197.48 inference(rename_variables,[],[3312])). % 197.50/197.48 cnf(11820,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x118201),f2(a881)))), % 197.50/197.48 inference(rename_variables,[],[4548])). % 197.50/197.48 cnf(11829,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),f2(a881)),x118291))), % 197.50/197.48 inference(rename_variables,[],[3334])). % 197.50/197.48 cnf(11830,plain, % 197.50/197.48 (~P1(f341(f341(f241(a881),f341(a128,x118301)),x118301))), % 197.50/197.48 inference(rename_variables,[],[4561])). % 197.50/197.48 cnf(11833,plain, % 197.50/197.48 (~P1(f341(f73(x118331,x118332,f193(f889(x118331,a874))),x118333))), % 197.50/197.48 inference(rename_variables,[],[4574])). % 197.50/197.48 cnf(11835,plain, % 197.50/197.48 (E(f341(f341(f91(a881),f2(a881)),f859(f2(a881),x118351,f73(x118352,x118353,f193(f889(x118352,a874))))),x118351)), % 197.50/197.48 inference(scs_inference,[],[4467,3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,4489,10479,10573,11095,3237,2930,2931,2937,2949,2952,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2981,2982,2985,3008,3054,3057,3070,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3413,11664,3564,10927,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3326,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,3300,11752,3428,3211,3212,10383,10697,3478,3136,3235,11423,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4359,4360,4562,4120,4497,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,3762,11652,3293,3401,11492,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,4568,11531,11563,11602,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,4052,3944,10871,3994,3674,4045,3693,11040,11115,11185,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,10916,11615,11801,3313,10859,10921,3393,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,3474,10578,10669,10924,10971,11243,11312,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,3378,10694,10724,3416,3825,3766,10364,11655,11686,4561,10315,10688,10691,11130,11149,11618,11674,11718,3334,10876,11687,3786,4123,4555,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,3878,11371,11713,3758,10987,10993,3613,11193,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,4172,4086,3785,3736,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364])). % 197.50/197.48 cnf(11836,plain, % 197.50/197.48 (~P1(f341(f73(x118361,x118362,f193(f889(x118361,a874))),x118363))), % 197.50/197.48 inference(rename_variables,[],[4574])). % 197.50/197.48 cnf(11842,plain, % 197.50/197.48 (~P1(f341(f341(f294(a881),f341(a128,f341(f341(f91(a881),f341(a128,f2(a881))),x118421))),f341(a128,f2(a881))))), % 197.50/197.48 inference(scs_inference,[],[4467,3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,4489,10479,10573,11095,3237,2930,2931,2937,2949,2952,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2981,2982,2985,3008,3054,3057,3070,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3413,11664,3564,10927,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3326,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,3300,11752,3428,3211,3212,10383,10697,3478,3136,3235,11423,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4359,4360,4562,4120,4497,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,3762,11652,3293,3401,11492,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,4568,11531,11563,11602,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,4052,3944,10871,3994,3674,4045,3693,11040,11115,11185,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,10916,11615,11801,3313,10859,10921,3393,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,3474,10578,10669,10924,10971,11243,11312,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,3378,10694,10724,3416,3825,3766,10364,11655,11686,4561,10315,10688,10691,11130,11149,11618,11674,11718,3334,10876,11687,3786,4123,4555,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,3878,11371,11713,3758,10987,10993,3613,11193,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,4172,4086,3785,3736,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387])). % 197.50/197.48 cnf(11844,plain, % 197.50/197.48 (P1(f341(f341(f242(a881),x118441),f341(a128,x118441)))), % 197.50/197.48 inference(rename_variables,[],[3384])). % 197.50/197.48 cnf(11858,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),f341(f341(f192(a881),x118581),x118582)),x118582))), % 197.50/197.48 inference(scs_inference,[],[4467,3554,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,4489,10479,10573,11095,3237,2930,2931,2937,2949,2952,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2981,2982,2985,3008,3054,3057,3058,3070,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3413,11664,3564,10927,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3326,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,3300,11752,3428,3211,3212,10383,10697,3478,3136,3235,11423,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4359,4360,4562,4120,4497,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,3762,11652,3293,3401,11492,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,4568,11531,11563,11602,11632,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,4052,3944,10871,3994,3674,4045,3693,11040,11115,11185,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,3311,10769,10818,10821,10853,10879,10913,10954,3312,10492,10712,10792,10916,11615,11801,3313,10859,10921,3393,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,3474,10578,10669,10924,10971,11243,11312,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,3378,10694,10724,3416,3825,3766,10364,11655,11686,4561,10315,10688,10691,11130,11149,11618,11674,11718,3334,10876,11687,3786,4123,4555,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,3878,11371,11713,3758,10987,10993,3613,11193,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,4172,4086,3785,3736,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448])). % 197.50/197.48 cnf(11859,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x118591),x118591))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(11862,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x118621),x118621))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(11865,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x118651),x118651))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(11868,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x118681),x118681))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(11871,plain, % 197.50/197.48 (~P1(f341(f341(f241(a881),f341(a128,x118711)),x118711))), % 197.50/197.48 inference(rename_variables,[],[4561])). % 197.50/197.48 cnf(11874,plain, % 197.50/197.48 (~P1(f341(f341(f241(a881),f341(a128,x118741)),x118741))), % 197.50/197.48 inference(rename_variables,[],[4561])). % 197.50/197.48 cnf(11877,plain, % 197.50/197.48 (~P1(f341(f341(f241(a881),f341(a128,x118771)),x118771))), % 197.50/197.48 inference(rename_variables,[],[4561])). % 197.50/197.48 cnf(11880,plain, % 197.50/197.48 (~P1(f341(f341(f241(a881),f341(a128,x118801)),x118801))), % 197.50/197.48 inference(rename_variables,[],[4561])). % 197.50/197.48 cnf(11897,plain, % 197.50/197.48 (P1(f341(f341(f199(a25),x118971),x118971))), % 197.50/197.48 inference(rename_variables,[],[3310])). % 197.50/197.48 cnf(11903,plain, % 197.50/197.48 (P1(f341(f341(f241(a1),x119031),x119031))), % 197.50/197.48 inference(rename_variables,[],[3312])). % 197.50/197.48 cnf(11914,plain, % 197.50/197.48 (P1(f341(f341(f241(a1),x119141),x119141))), % 197.50/197.48 inference(rename_variables,[],[3312])). % 197.50/197.48 cnf(11917,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(f888(f883(x119171),f883(x119171)),a874)),f163(x119171,x119172)),f315(f883(x119171),f162(x119171,x119172))))), % 197.50/197.48 inference(rename_variables,[],[4003])). % 197.50/197.48 cnf(11924,plain, % 197.50/197.48 (P1(f341(f341(f242(a881),x119241),f341(a128,x119241)))), % 197.50/197.48 inference(rename_variables,[],[3384])). % 197.50/197.48 cnf(11927,plain, % 197.50/197.48 (P1(f341(f341(f344(f889(x119271,a874)),x119272),f341(f316(x119271),x119272)))), % 197.50/197.48 inference(rename_variables,[],[3674])). % 197.50/197.48 cnf(11928,plain, % 197.50/197.48 (~E(f341(a128,x119281),x119281)), % 197.50/197.48 inference(rename_variables,[],[4476])). % 197.50/197.48 cnf(11935,plain, % 197.50/197.48 (P1(f341(f341(f241(a1),x119351),x119351))), % 197.50/197.48 inference(rename_variables,[],[3312])). % 197.50/197.48 cnf(11940,plain, % 197.50/197.48 (P1(f341(f341(f241(a1),x119401),x119401))), % 197.50/197.48 inference(rename_variables,[],[3312])). % 197.50/197.48 cnf(11949,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x119491,a874)),x119492),f341(f341(f318(x119491),x119493),x119492)))), % 197.50/197.48 inference(rename_variables,[],[3758])). % 197.50/197.48 cnf(11952,plain, % 197.50/197.48 (P1(f341(f341(f199(a25),x119521),x119521))), % 197.50/197.48 inference(rename_variables,[],[3310])). % 197.50/197.48 cnf(11953,plain, % 197.50/197.48 (~E(f341(a128,x119531),x119531)), % 197.50/197.48 inference(rename_variables,[],[4476])). % 197.50/197.48 cnf(11966,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x119661),x119661))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(11967,plain, % 197.50/197.48 (~E(f341(a128,x119671),x119671)), % 197.50/197.48 inference(rename_variables,[],[4476])). % 197.50/197.48 cnf(11970,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),x119701),x119701))), % 197.50/197.48 inference(rename_variables,[],[3311])). % 197.50/197.48 cnf(11973,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),x119731),x119731))), % 197.50/197.48 inference(rename_variables,[],[3311])). % 197.50/197.48 cnf(11976,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),x119761),x119761))), % 197.50/197.48 inference(rename_variables,[],[3311])). % 197.50/197.48 cnf(11979,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),x119791),x119791))), % 197.50/197.48 inference(rename_variables,[],[3311])). % 197.50/197.48 cnf(11982,plain, % 197.50/197.48 (P1(f341(f341(f241(a1),x119821),x119821))), % 197.50/197.48 inference(rename_variables,[],[3312])). % 197.50/197.48 cnf(11985,plain, % 197.50/197.48 (P1(f341(f341(f241(a1),x119851),x119851))), % 197.50/197.48 inference(rename_variables,[],[3312])). % 197.50/197.48 cnf(11988,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x119881),x119881))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(11991,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x119911),x119911))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(11992,plain, % 197.50/197.48 (P1(f341(f341(f242(a881),x119921),f341(a128,x119921)))), % 197.50/197.48 inference(rename_variables,[],[3384])). % 197.50/197.48 cnf(12001,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x120011),x120011))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(12002,plain, % 197.50/197.48 (~E(f341(a128,x120021),x120021)), % 197.50/197.48 inference(rename_variables,[],[4476])). % 197.50/197.48 cnf(12006,plain, % 197.50/197.48 (~P1(f341(f341(f241(a881),f341(a119,f89(a1))),f341(a119,f2(a1))))), % 197.50/197.48 inference(scs_inference,[],[4467,3554,3616,4492,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,4489,10479,10573,11095,3237,2930,2931,2937,2949,2952,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2981,2982,2985,3008,3054,3057,3058,3070,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3257,3413,11664,3564,10927,4073,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3326,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,3300,11752,3428,3211,3212,10383,10697,3478,3136,3235,11423,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4359,4360,4562,4120,4497,3619,3817,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,3762,11652,3293,3401,11492,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,4568,11531,11563,11602,11632,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,4052,4003,3944,10871,3994,3674,4045,3693,11040,11115,11185,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,3313,10859,10921,3393,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,3474,10578,10669,10924,10971,11243,11312,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,3378,10694,10724,3416,3825,3766,10364,11655,11686,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,3334,10876,11687,3786,4123,4555,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,3878,11371,11713,3758,10987,10993,11008,3613,11193,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,4172,4086,3785,3736,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448,6450,6451,6452,6454,6456,6457,6458,6465,6472,6473,6474,6475,6481,6483,6523,6529,6544,6547,6548,6549,6586,6591,6593,6598,6599,6610,6613,6628,6655,6656,6657,6658,6669,6673,6693,6697,6715,6733,6745,6746,6747,6752,6765,6788,6790,6792,6794,6797,6798,6804,6806,6818,6824,6863,6867,6868])). % 197.50/197.48 cnf(12007,plain, % 197.50/197.48 (P1(f341(f341(f241(a1),x120071),x120071))), % 197.50/197.48 inference(rename_variables,[],[3312])). % 197.50/197.48 cnf(12022,plain, % 197.50/197.48 (P1(f341(f341(f241(a1),x120221),x120221))), % 197.50/197.48 inference(rename_variables,[],[3312])). % 197.50/197.48 cnf(12030,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),f2(a881)),x120301))), % 197.50/197.48 inference(rename_variables,[],[3334])). % 197.50/197.48 cnf(12050,plain, % 197.50/197.48 (~P1(f341(f341(f344(x120501),x120502),f193(f889(x120501,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(12053,plain, % 197.50/197.48 (~P1(f341(f341(f344(x120531),x120532),f193(f889(x120531,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(12056,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x120561),x120561))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(12059,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x120591),x120591))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(12062,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x120621),x120621))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(12065,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x120651),x120651))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(12068,plain, % 197.50/197.48 (P1(f341(f341(f242(a881),x120681),f341(a128,x120681)))), % 197.50/197.48 inference(rename_variables,[],[3384])). % 197.50/197.48 cnf(12075,plain, % 197.50/197.48 (P1(f341(f341(f344(f889(x120751,a874)),x120752),f341(f316(x120751),x120752)))), % 197.50/197.48 inference(rename_variables,[],[3674])). % 197.50/197.48 cnf(12080,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x120801,a874)),f341(f176(x120801),f341(f141(x120801,x120802),x120803))),f341(f176(x120801),x120803)))), % 197.50/197.48 inference(rename_variables,[],[3944])). % 197.50/197.48 cnf(12087,plain, % 197.50/197.48 (~P1(f341(f341(f344(x120871),x120872),f193(f889(x120871,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(12096,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x120961,a874)),x120962),f249(f889(x120961,a874))))), % 197.50/197.48 inference(rename_variables,[],[3693])). % 197.50/197.48 cnf(12097,plain, % 197.50/197.48 (~E(f341(a128,x120971),x120971)), % 197.50/197.48 inference(rename_variables,[],[4476])). % 197.50/197.48 cnf(12100,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x121001,a874)),f341(f176(x121001),f341(f141(x121001,x121002),x121003))),f341(f176(x121001),x121003)))), % 197.50/197.48 inference(rename_variables,[],[3944])). % 197.50/197.48 cnf(12103,plain, % 197.50/197.48 (P1(f341(f341(f242(a881),x121031),f341(a128,x121031)))), % 197.50/197.48 inference(rename_variables,[],[3384])). % 197.50/197.48 cnf(12106,plain, % 197.50/197.48 (~P1(f341(f341(f344(x121061),x121062),f193(f889(x121061,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(12109,plain, % 197.50/197.48 (P18(x121091,x121091,f34(x121091),x121092)), % 197.50/197.48 inference(rename_variables,[],[3554])). % 197.50/197.48 cnf(12128,plain, % 197.50/197.48 (P1(f341(f72(x121281),f193(f889(x121281,a874))))), % 197.50/197.48 inference(rename_variables,[],[3393])). % 197.50/197.48 cnf(12129,plain, % 197.50/197.48 (~P1(f341(f341(f344(x121291),x121292),f193(f889(x121291,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(12134,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x121341),f2(a881)))), % 197.50/197.48 inference(rename_variables,[],[4548])). % 197.50/197.48 cnf(12135,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x121351),x121351))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(12140,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x121401,a874)),f341(f176(x121401),f178(x121401,x121402,x121403))),f341(f176(x121401),x121402)))), % 197.50/197.48 inference(rename_variables,[],[3994])). % 197.50/197.48 cnf(12145,plain, % 197.50/197.48 (P1(f341(f341(f344(f889(x121451,a874)),x121452),f341(f316(x121451),x121452)))), % 197.50/197.48 inference(rename_variables,[],[3674])). % 197.50/197.48 cnf(12152,plain, % 197.50/197.48 (P1(f341(f341(f199(a25),x121521),x121521))), % 197.50/197.48 inference(rename_variables,[],[3310])). % 197.50/197.48 cnf(12155,plain, % 197.50/197.48 (~E(f341(a128,x121551),f2(a881))), % 197.50/197.48 inference(rename_variables,[],[4486])). % 197.50/197.48 cnf(12158,plain, % 197.50/197.48 (~P1(f341(f341(f344(x121581),x121582),f193(f889(x121581,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(12161,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x121611,a874)),x121612),f341(f341(f318(x121611),x121613),x121612)))), % 197.50/197.48 inference(rename_variables,[],[3758])). % 197.50/197.48 cnf(12162,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x121621,a874)),x121622),f249(f889(x121621,a874))))), % 197.50/197.48 inference(rename_variables,[],[3693])). % 197.50/197.48 cnf(12168,plain, % 197.50/197.48 (~E(f341(a128,x121681),x121681)), % 197.50/197.48 inference(rename_variables,[],[4476])). % 197.50/197.48 cnf(12173,plain, % 197.50/197.48 (P1(f341(f341(f242(a881),x121731),f341(a128,x121731)))), % 197.50/197.48 inference(rename_variables,[],[3384])). % 197.50/197.48 cnf(12176,plain, % 197.50/197.48 (P1(f341(f341(f242(a881),x121761),f341(a128,x121761)))), % 197.50/197.48 inference(rename_variables,[],[3384])). % 197.50/197.48 cnf(12179,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),x121791),x121791))), % 197.50/197.48 inference(rename_variables,[],[3311])). % 197.50/197.48 cnf(12182,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),x121821),x121821))), % 197.50/197.48 inference(rename_variables,[],[3311])). % 197.50/197.48 cnf(12185,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),x121851),x121851))), % 197.50/197.48 inference(rename_variables,[],[3311])). % 197.50/197.48 cnf(12188,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),x121881),x121881))), % 197.50/197.48 inference(rename_variables,[],[3311])). % 197.50/197.48 cnf(12190,plain, % 197.50/197.48 (P1(f341(f341(f294(a881),x121901),f341(f341(f92(a881),x121902),x121901)))), % 197.50/197.48 inference(scs_inference,[],[4467,3554,11127,3616,4492,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,4489,10479,10573,11095,3237,4486,2930,2931,2937,2949,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2981,2982,2984,2985,3008,3054,3057,3058,3070,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3257,3413,11664,3564,10927,4073,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3326,10836,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,3300,11752,3428,3211,3212,10383,10697,3478,3136,3235,11423,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4359,4360,4562,4120,4497,3619,3817,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,3762,11652,3293,3401,11492,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,4568,11531,11563,11602,11632,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,3355,4052,4003,3944,10871,12080,3994,11043,3674,11927,12075,4045,3693,11040,11115,11185,11251,12096,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,3313,10859,10921,3393,12128,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,3474,10578,10669,10924,10971,11243,11312,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,3378,10694,10724,3416,3825,3766,10364,11655,11686,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,3334,10876,11687,11829,3786,4123,4555,3793,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,3878,11371,11713,3758,10987,10993,11008,11949,3613,11193,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,4172,4086,3785,3736,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448,6450,6451,6452,6454,6456,6457,6458,6465,6472,6473,6474,6475,6481,6483,6523,6529,6544,6547,6548,6549,6586,6591,6593,6598,6599,6610,6613,6628,6655,6656,6657,6658,6669,6673,6693,6697,6715,6733,6745,6746,6747,6752,6765,6788,6790,6792,6794,6797,6798,6804,6806,6818,6824,6863,6867,6868,6884,6885,6886,6887,6910,6911,6928,6956,6977,6982,6991,6993,6994,6996,6998,7031,7032,7033,7037,7038,7040,7042,7043,7044,7070,7080,7081,7092,7103,7144,7153,7159,7166,7178,7183,7185,7191,7198,7224,7231,7234,7241,7243,7314,7316,7317,7318,7325,7326,7328,7353,7397,7425,7448,7479,7486,7510,7535,7536,7552,7555,7556,7559,7567,7583,7584,7586,7588,7590,7592,7593])). % 197.50/197.48 cnf(12191,plain, % 197.50/197.48 (P1(f341(f341(f294(a881),x121911),x121911))), % 197.50/197.48 inference(rename_variables,[],[3313])). % 197.50/197.48 cnf(12194,plain, % 197.50/197.48 (P1(f341(f341(f294(a881),x121941),x121941))), % 197.50/197.48 inference(rename_variables,[],[3313])). % 197.50/197.48 cnf(12197,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x121971,a874)),x121972),x121972))), % 197.50/197.48 inference(rename_variables,[],[3613])). % 197.50/197.48 cnf(12201,plain, % 197.50/197.48 (~P1(f341(f341(f241(a1),f341(f341(f3(a1),a94),a100)),f2(a1)))), % 197.50/197.48 inference(scs_inference,[],[4467,3554,11127,3616,4492,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,4489,10479,10573,11095,3237,4486,2930,2931,2937,2949,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2980,2981,2982,2984,2985,3008,3054,3057,3058,3070,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3257,3413,11664,3564,10927,4073,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3326,10836,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,3300,11752,3428,3211,3212,10383,10697,3478,3136,3235,11423,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4359,4360,4562,4120,4497,3619,3817,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,3762,11652,3293,3401,11492,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,4568,11531,11563,11602,11632,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,3355,4052,4003,3944,10871,12080,3994,11043,3674,11927,12075,4045,3693,11040,11115,11185,11251,12096,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,3313,10859,10921,12191,3393,12128,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,3474,10578,10669,10924,10971,11243,11312,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,3378,10694,10724,3416,3825,3766,10364,11655,11686,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,3334,10876,11687,11829,3786,4123,4555,3793,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,3878,11371,11713,3758,10987,10993,11008,11949,3613,11193,11292,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,4172,4086,3785,3736,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448,6450,6451,6452,6454,6456,6457,6458,6465,6472,6473,6474,6475,6481,6483,6523,6529,6544,6547,6548,6549,6586,6591,6593,6598,6599,6610,6613,6628,6655,6656,6657,6658,6669,6673,6693,6697,6715,6733,6745,6746,6747,6752,6765,6788,6790,6792,6794,6797,6798,6804,6806,6818,6824,6863,6867,6868,6884,6885,6886,6887,6910,6911,6928,6956,6977,6982,6991,6993,6994,6996,6998,7031,7032,7033,7037,7038,7040,7042,7043,7044,7070,7080,7081,7092,7103,7144,7153,7159,7166,7178,7183,7185,7191,7198,7224,7231,7234,7241,7243,7314,7316,7317,7318,7325,7326,7328,7353,7397,7425,7448,7479,7486,7510,7535,7536,7552,7555,7556,7559,7567,7583,7584,7586,7588,7590,7592,7593,7594,7620,7645,7646])). % 197.50/197.48 cnf(12204,plain, % 197.50/197.48 (P1(f341(f341(f344(f889(x122041,a874)),x122042),f341(f316(x122041),x122042)))), % 197.50/197.48 inference(rename_variables,[],[3674])). % 197.50/197.48 cnf(12208,plain, % 197.50/197.48 (~P1(f341(f341(f242(a1),f341(f341(f91(a1),a94),a94)),f2(a1)))), % 197.50/197.48 inference(scs_inference,[],[4467,3554,11127,3616,4492,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,4489,10479,10573,11095,3237,4486,2930,2931,2937,2949,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2980,2981,2982,2984,2985,3008,3054,3057,3058,3070,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3257,3413,11664,3564,10927,4073,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3326,10836,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,3300,11752,3428,3211,3212,10383,10697,3478,3136,3235,11423,4446,4084,3934,11034,11161,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4359,4360,4562,4120,4497,3619,3817,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,3762,11652,3293,3401,11492,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,4568,11531,11563,11602,11632,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,3355,4052,4003,3944,10871,12080,3994,11043,3674,11927,12075,12145,4045,3693,11040,11115,11185,11251,12096,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,3313,10859,10921,12191,3393,12128,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,3474,10578,10669,10924,10971,11243,11312,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,3378,10694,10724,3416,3825,3766,10364,11655,11686,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,3334,10876,11687,11829,3786,4123,4555,3793,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,3878,11371,11713,3758,10987,10993,11008,11949,3613,11193,11292,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,4172,4086,3785,3736,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448,6450,6451,6452,6454,6456,6457,6458,6465,6472,6473,6474,6475,6481,6483,6523,6529,6544,6547,6548,6549,6586,6591,6593,6598,6599,6610,6613,6628,6655,6656,6657,6658,6669,6673,6693,6697,6715,6733,6745,6746,6747,6752,6765,6788,6790,6792,6794,6797,6798,6804,6806,6818,6824,6863,6867,6868,6884,6885,6886,6887,6910,6911,6928,6956,6977,6982,6991,6993,6994,6996,6998,7031,7032,7033,7037,7038,7040,7042,7043,7044,7070,7080,7081,7092,7103,7144,7153,7159,7166,7178,7183,7185,7191,7198,7224,7231,7234,7241,7243,7314,7316,7317,7318,7325,7326,7328,7353,7397,7425,7448,7479,7486,7510,7535,7536,7552,7555,7556,7559,7567,7583,7584,7586,7588,7590,7592,7593,7594,7620,7645,7646,7679,7680,7681])). % 197.50/197.48 cnf(12213,plain, % 197.50/197.48 (P30(x122131,x122132,f129(x122131),f129(x122131))), % 197.50/197.48 inference(rename_variables,[],[3563])). % 197.50/197.48 cnf(12216,plain, % 197.50/197.48 (~E(f341(a128,x122161),x122161)), % 197.50/197.48 inference(rename_variables,[],[4476])). % 197.50/197.48 cnf(12219,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x122191,a874)),f341(f176(x122191),f178(x122191,x122192,x122193))),f341(f176(x122191),x122192)))), % 197.50/197.48 inference(rename_variables,[],[3994])). % 197.50/197.48 cnf(12220,plain, % 197.50/197.48 (P1(f341(f72(x122201),f341(f176(x122201),x122202)))), % 197.50/197.48 inference(rename_variables,[],[3355])). % 197.50/197.48 cnf(12228,plain, % 197.50/197.48 (~P1(f341(f341(f241(f889(x122281,a874)),f249(f889(x122281,a874))),f341(a128,f249(f889(x122281,a874)))))), % 197.50/197.48 inference(scs_inference,[],[4467,3554,11127,3563,3616,4492,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,12168,4489,10479,10573,11095,3237,4486,2930,2931,2937,2949,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2980,2981,2982,2984,2985,3008,3054,3057,3058,3070,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3257,3413,11664,3564,10927,4073,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3326,10836,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,3300,11752,3428,3211,3212,10383,10697,3478,3136,3235,11423,4446,4084,3934,11034,11161,11217,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4359,4360,4562,4120,4497,3619,3817,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,3762,11652,3293,3401,11492,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,4568,11531,11563,11602,11632,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,3355,4052,4003,3944,10871,12080,3994,11043,12140,3674,11927,12075,12145,4045,3693,11040,11115,11185,11251,12096,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,3313,10859,10921,12191,3393,12128,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,3474,10578,10669,10924,10971,11243,11312,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,3378,10694,10724,3416,3825,3766,10364,11655,11686,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,3334,10876,11687,11829,3786,4123,4555,3793,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,3878,11371,11713,3758,10987,10993,11008,11949,3613,11193,11292,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,4172,4086,3785,3736,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448,6450,6451,6452,6454,6456,6457,6458,6465,6472,6473,6474,6475,6481,6483,6523,6529,6544,6547,6548,6549,6586,6591,6593,6598,6599,6610,6613,6628,6655,6656,6657,6658,6669,6673,6693,6697,6715,6733,6745,6746,6747,6752,6765,6788,6790,6792,6794,6797,6798,6804,6806,6818,6824,6863,6867,6868,6884,6885,6886,6887,6910,6911,6928,6956,6977,6982,6991,6993,6994,6996,6998,7031,7032,7033,7037,7038,7040,7042,7043,7044,7070,7080,7081,7092,7103,7144,7153,7159,7166,7178,7183,7185,7191,7198,7224,7231,7234,7241,7243,7314,7316,7317,7318,7325,7326,7328,7353,7397,7425,7448,7479,7486,7510,7535,7536,7552,7555,7556,7559,7567,7583,7584,7586,7588,7590,7592,7593,7594,7620,7645,7646,7679,7680,7681,7682,7710,7717,7728,7733,7738,7740,7746])). % 197.50/197.48 cnf(12231,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x122311),x122311))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(12234,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x122341),x122341))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(12243,plain, % 197.50/197.48 (P16(a881,f341(f173(a881),f341(f341(f159(f883(x122431),a881),f194(f883(x122431))),f182(x122431,x122432))))), % 197.50/197.48 inference(rename_variables,[],[3865])). % 197.50/197.48 cnf(12246,plain, % 197.50/197.48 (P18(x122461,x122461,f34(x122461),x122462)), % 197.50/197.48 inference(rename_variables,[],[3554])). % 197.50/197.48 cnf(12249,plain, % 197.50/197.48 (P1(f341(f341(f344(f883(x122491)),f129(x122491)),f166(x122491,x122492)))), % 197.50/197.48 inference(rename_variables,[],[3514])). % 197.50/197.48 cnf(12252,plain, % 197.50/197.48 (~P1(f341(f341(f193(f889(x122521,f889(x122522,a874))),x122523),x122524))), % 197.50/197.48 inference(rename_variables,[],[4579])). % 197.50/197.48 cnf(12257,plain, % 197.50/197.48 (P18(x122571,x122571,f34(x122571),x122572)), % 197.50/197.48 inference(rename_variables,[],[3554])). % 197.50/197.48 cnf(12259,plain, % 197.50/197.48 (~P1(f341(f72(x122591),f249(f889(x122591,a874))))), % 197.50/197.48 inference(scs_inference,[],[4467,3554,11127,12109,12246,3563,3616,4492,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,12168,4489,10479,10573,11095,3237,4486,2930,2931,2937,2949,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2980,2981,2982,2984,2985,3008,3054,3057,3058,3070,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3257,3413,11664,3564,10927,4073,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3196,3326,10836,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,3300,11752,3428,3211,3212,10383,10697,3478,3136,3235,11423,4455,4446,4084,3934,11034,11161,11217,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4359,4360,4562,4120,4497,3619,3817,3865,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,3762,11652,3293,3401,11492,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,12134,4568,11531,11563,11602,11632,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,3355,4052,4003,3944,10871,12080,3994,11043,12140,3674,11927,12075,12145,12204,4045,3693,11040,11115,11185,11251,12096,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,3313,10859,10921,12191,3393,12128,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,12135,12231,3474,10578,10669,10924,10971,11243,11312,11496,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,3378,10694,10724,3416,3825,3766,10364,11655,11686,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,3334,10876,11687,11829,3786,4123,4555,3793,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,3878,11371,11713,3758,10987,10993,11008,11949,3613,11193,11292,12197,3759,11063,11214,11248,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,11489,4172,4086,3785,3736,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,1025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% 197.50/197.48 cnf(12260,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x122601,a874)),x122602),x122602))), % 197.50/197.48 inference(rename_variables,[],[3613])). % 197.50/197.48 cnf(12263,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),x122631),x122631))), % 197.50/197.48 inference(rename_variables,[],[3311])). % 197.50/197.48 cnf(12264,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),f2(a881)),x122641))), % 197.50/197.48 inference(rename_variables,[],[3334])). % 197.50/197.48 cnf(12267,plain, % 197.50/197.48 (~P1(f341(f341(f193(f889(x122671,f889(x122672,a874))),x122673),x122674))), % 197.50/197.48 inference(rename_variables,[],[4579])). % 197.50/197.48 cnf(12270,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(f888(f883(x122701),f883(x122701)),a874)),f163(x122701,x122702)),f315(f883(x122701),f162(x122701,x122702))))), % 197.50/197.48 inference(rename_variables,[],[4003])). % 197.50/197.48 cnf(12276,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x122761,a874)),f193(f889(x122761,a874))),x122762))), % 197.50/197.48 inference(rename_variables,[],[3759])). % 197.50/197.48 cnf(12278,plain, % 197.50/197.48 (~P1(f341(f341(f242(f889(x122781,a874)),x122782),f341(f341(f317(x122783,x122781),x122784),f341(f320(x122783,x122781,x122784),f193(f889(x122781,a874))))))), % 197.50/197.48 inference(scs_inference,[],[4467,3554,11127,12109,12246,3563,3616,4492,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,12168,4489,10479,10573,11095,3237,4486,2930,2931,2937,2949,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2980,2981,2982,2984,2985,3008,3054,3057,3058,3070,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3257,3413,11664,3564,10927,4073,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3196,3326,10836,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,3300,11752,3428,3211,3212,10383,10697,3478,3136,3235,11423,4455,4446,4084,3934,11034,11161,11217,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,3673,4359,4360,4562,4120,4497,3619,3817,3865,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,3762,11652,3293,3401,11492,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,12134,4568,11531,11563,11602,11632,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,3355,4052,4003,11917,12270,3944,10871,12080,3994,11043,12140,3674,11927,12075,12145,12204,4045,3693,11040,11115,11185,11251,12096,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,12188,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,3313,10859,10921,12191,3393,12128,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,12135,12231,3474,10578,10669,10924,10971,11243,11312,11496,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,3378,10694,10724,3416,3825,3766,10364,11655,11686,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,3334,10876,11687,11829,12030,3786,4123,4555,3793,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,3878,11371,11713,3758,10987,10993,11008,11949,3613,11193,11292,12197,3759,11063,11214,11248,11259,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,11489,12252,4172,10862,4086,3785,3736,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448,6450,6451,6452,6454,6456,6457,6458,6465,6472,6473,6474,6475,6481,6483,6523,6529,6544,6547,6548,6549,6586,6591,6593,6598,6599,6610,6613,6628,6655,6656,6657,6658,6669,6673,6693,6697,6715,6733,6745,6746,6747,6752,6765,6788,6790,6792,6794,6797,6798,6804,6806,6818,6824,6863,6867,6868,6884,6885,6886,6887,6910,6911,6928,6956,6977,6982,6991,6993,6994,6996,6998,7031,7032,7033,7037,7038,7040,7042,7043,7044,7070,7080,7081,7092,7103,7144,7153,7159,7166,7178,7183,7185,7191,7198,7224,7231,7234,7241,7243,7314,7316,7317,7318,7325,7326,7328,7353,7397,7425,7448,7479,7486,7510,7535,7536,7552,7555,7556,7559,7567,7583,7584,7586,7588,7590,7592,7593,7594,7620,7645,7646,7679,7680,7681,7682,7710,7717,7728,7733,7738,7740,7746,7757,7758,7760,7788,7810,7874,7875,7920,7927,7928,7948,7954,7955,7956,7973,7974,8039,8040])). % 197.50/197.48 cnf(12279,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x122791,a874)),f341(f341(f317(x122792,x122791),x122793),f341(f320(x122792,x122791,x122793),x122794))),x122794))), % 197.50/197.48 inference(rename_variables,[],[4172])). % 197.50/197.48 cnf(12282,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x122821,a874)),f341(f176(x122821),f178(x122821,x122822,x122823))),f341(f176(x122821),x122822)))), % 197.50/197.48 inference(rename_variables,[],[3994])). % 197.50/197.48 cnf(12283,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x122831,a874)),f341(f176(x122831),f341(f141(x122831,x122832),x122833))),f341(f176(x122831),x122833)))), % 197.50/197.48 inference(rename_variables,[],[3944])). % 197.50/197.48 cnf(12288,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x122881,a874)),f341(f341(f317(x122882,x122881),x122883),f341(f320(x122882,x122881,x122883),x122884))),x122884))), % 197.50/197.48 inference(rename_variables,[],[4172])). % 197.50/197.48 cnf(12290,plain, % 197.50/197.48 (P1(f341(f341(f344(f888(f883(a881),f883(a881))),f341(f341(f257(f883(a881),f883(a881)),f129(a881)),f130(a881,f129(a881)))),f271(f883(a881),f166(a881,x122901))))), % 197.50/197.48 inference(scs_inference,[],[4467,3554,11127,12109,12246,3563,3616,3281,4492,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,12168,4489,10479,10573,11095,3237,4486,2930,2931,2937,2949,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2980,2981,2982,2984,2985,2988,3008,3054,3057,3058,3070,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3257,3413,11664,3564,10927,4073,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3196,3326,10836,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,3300,11752,3428,3211,3212,10383,10697,3478,3136,3235,11423,4455,4446,4084,3934,11034,11161,11217,4400,10445,4581,10974,11168,11276,11337,11343,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,12249,3673,4359,4360,4562,4120,4497,3619,3817,3865,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,3762,11652,3293,3401,11492,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,12134,4568,11531,11563,11602,11632,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,3355,4052,4003,11917,12270,3944,10871,12080,12100,3994,11043,12140,12219,3674,11927,12075,12145,12204,4045,3693,11040,11115,11185,11251,12096,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,12188,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,3313,10859,10921,12191,3393,12128,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,12135,12231,3474,10578,10669,10924,10971,11243,11312,11496,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,3378,10694,10724,3416,3825,3766,10364,11655,11686,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,3334,10876,11687,11829,12030,3786,4123,4555,3793,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,3878,11371,11713,3758,10987,10993,11008,11949,3613,11193,11292,12197,3759,11063,11214,11248,11259,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,11489,12252,4172,10862,12279,4086,3785,3736,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448,6450,6451,6452,6454,6456,6457,6458,6465,6472,6473,6474,6475,6481,6483,6523,6529,6544,6547,6548,6549,6586,6591,6593,6598,6599,6610,6613,6628,6655,6656,6657,6658,6669,6673,6693,6697,6715,6733,6745,6746,6747,6752,6765,6788,6790,6792,6794,6797,6798,6804,6806,6818,6824,6863,6867,6868,6884,6885,6886,6887,6910,6911,6928,6956,6977,6982,6991,6993,6994,6996,6998,7031,7032,7033,7037,7038,7040,7042,7043,7044,7070,7080,7081,7092,7103,7144,7153,7159,7166,7178,7183,7185,7191,7198,7224,7231,7234,7241,7243,7314,7316,7317,7318,7325,7326,7328,7353,7397,7425,7448,7479,7486,7510,7535,7536,7552,7555,7556,7559,7567,7583,7584,7586,7588,7590,7592,7593,7594,7620,7645,7646,7679,7680,7681,7682,7710,7717,7728,7733,7738,7740,7746,7757,7758,7760,7788,7810,7874,7875,7920,7927,7928,7948,7954,7955,7956,7973,7974,8039,8040,8041,8101,8106,8133])). % 197.50/197.48 cnf(12291,plain, % 197.50/197.48 (P1(f341(f341(f344(f883(x122911)),f129(x122911)),f166(x122911,x122912)))), % 197.50/197.48 inference(rename_variables,[],[3514])). % 197.50/197.48 cnf(12294,plain, % 197.50/197.48 (~P1(f341(f341(f344(f888(f883(x122941),f883(x122941))),f341(f341(f257(f883(x122941),f883(x122941)),x122942),f129(x122941))),f150(x122941,x122943)))), % 197.50/197.48 inference(rename_variables,[],[4581])). % 197.50/197.48 cnf(12297,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x122971),f2(a881)))), % 197.50/197.48 inference(rename_variables,[],[4548])). % 197.50/197.48 cnf(12302,plain, % 197.50/197.48 (~P1(f341(f341(f344(x123021),x123022),f193(f889(x123021,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(12305,plain, % 197.50/197.48 (~P1(f341(f341(f193(f889(x123051,f889(x123052,a874))),x123053),x123054))), % 197.50/197.48 inference(rename_variables,[],[4579])). % 197.50/197.48 cnf(12308,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x123081,a874)),f341(f341(f317(x123082,x123081),x123083),f341(f320(x123082,x123081,x123083),x123084))),x123084))), % 197.50/197.48 inference(rename_variables,[],[4172])). % 197.50/197.48 cnf(12309,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x123091,a874)),x123092),x123092))), % 197.50/197.48 inference(rename_variables,[],[3613])). % 197.50/197.48 cnf(12312,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x123121,a874)),f341(f176(x123121),f178(x123121,x123122,x123123))),f341(f176(x123121),x123122)))), % 197.50/197.48 inference(rename_variables,[],[3994])). % 197.50/197.48 cnf(12313,plain, % 197.50/197.48 (P1(f341(f72(x123131),f341(f176(x123131),x123132)))), % 197.50/197.48 inference(rename_variables,[],[3355])). % 197.50/197.48 cnf(12316,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x123161),x123161))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(12319,plain, % 197.50/197.48 (P1(f341(f341(f199(a25),x123191),x123191))), % 197.50/197.48 inference(rename_variables,[],[3310])). % 197.50/197.48 cnf(12322,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x123221),x123221))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(12337,plain, % 197.50/197.48 (~P1(f341(f341(f344(x123371),x123372),f193(f889(x123371,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(12340,plain, % 197.50/197.48 (P1(f341(f341(f344(f888(x123401,x123401)),f341(f341(f257(x123401,x123401),x123402),x123402)),f315(x123401,x123403)))), % 197.50/197.48 inference(rename_variables,[],[3934])). % 197.50/197.48 cnf(12343,plain, % 197.50/197.48 (~P1(f341(f341(f344(x123431),x123432),f193(f889(x123431,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(12346,plain, % 197.50/197.48 (P1(f341(f341(f344(f888(x123461,x123461)),f341(f341(f257(x123461,x123461),x123462),x123462)),f315(x123461,x123463)))), % 197.50/197.48 inference(rename_variables,[],[3934])). % 197.50/197.48 cnf(12356,plain, % 197.50/197.48 (~E(f341(f341(f54(x123561,x123562),x123563),x123564),f341(f49(x123561,x123562),x123565))), % 197.50/197.48 inference(rename_variables,[],[4559])). % 197.50/197.48 cnf(12359,plain, % 197.50/197.48 (P1(f341(f341(f344(x123591),f341(x123592,x123593)),f341(f341(f317(x123594,x123591),x123592),f249(f889(x123594,a874)))))), % 197.50/197.48 inference(rename_variables,[],[3878])). % 197.50/197.48 cnf(12360,plain, % 197.50/197.48 (P18(x123601,x123601,f34(x123601),x123602)), % 197.50/197.48 inference(rename_variables,[],[3554])). % 197.50/197.48 cnf(12363,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x123631,a874)),x123632),f249(f889(x123631,a874))))), % 197.50/197.48 inference(rename_variables,[],[3693])). % 197.50/197.48 cnf(12364,plain, % 197.50/197.48 (~E(f341(a128,x123641),x123641)), % 197.50/197.48 inference(rename_variables,[],[4476])). % 197.50/197.48 cnf(12367,plain, % 197.50/197.48 (P1(f341(f341(f344(x123671),x123672),f249(f889(x123671,a874))))), % 197.50/197.48 inference(rename_variables,[],[3474])). % 197.50/197.48 cnf(12368,plain, % 197.50/197.48 (~E(f341(a128,x123681),x123681)), % 197.50/197.48 inference(rename_variables,[],[4476])). % 197.50/197.48 cnf(12371,plain, % 197.50/197.48 (P1(f341(f341(f344(f883(x123711)),f129(x123711)),f166(x123711,x123712)))), % 197.50/197.48 inference(rename_variables,[],[3514])). % 197.50/197.48 cnf(12377,plain, % 197.50/197.48 (~P1(f341(f341(f242(f889(x123771,a874)),x123772),f193(f889(x123771,a874))))), % 197.50/197.48 inference(rename_variables,[],[4572])). % 197.50/197.48 cnf(12380,plain, % 197.50/197.48 (~P1(f341(f341(f193(f889(x123801,f889(x123802,a874))),x123803),x123804))), % 197.50/197.48 inference(rename_variables,[],[4579])). % 197.50/197.48 cnf(12383,plain, % 197.50/197.48 (P1(f341(f341(f344(x123831),f341(x123832,x123833)),f341(f341(f317(x123834,x123831),x123832),f249(f889(x123834,a874)))))), % 197.50/197.48 inference(rename_variables,[],[3878])). % 197.50/197.48 cnf(12384,plain, % 197.50/197.48 (P18(x123841,x123841,f34(x123841),x123842)), % 197.50/197.48 inference(rename_variables,[],[3554])). % 197.50/197.48 cnf(12389,plain, % 197.50/197.48 (P1(f341(f341(f341(f341(a201,a25),x123891),x123892),x123891))), % 197.50/197.48 inference(rename_variables,[],[3650])). % 197.50/197.48 cnf(12392,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x123921,a874)),f193(f889(x123921,a874))),x123922))), % 197.50/197.48 inference(rename_variables,[],[3759])). % 197.50/197.48 cnf(12393,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x123931,a874)),x123932),x123932))), % 197.50/197.48 inference(rename_variables,[],[3613])). % 197.50/197.48 cnf(12396,plain, % 197.50/197.48 (P1(f341(f341(f344(f888(f883(x123961),f883(x123961))),f341(f341(f257(f883(x123961),f883(x123961)),f129(x123961)),f129(x123961))),f163(x123961,x123962)))), % 197.50/197.48 inference(rename_variables,[],[4084])). % 197.50/197.48 cnf(12399,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x123991),x123991))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(12400,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x124001),f2(a881)))), % 197.50/197.48 inference(rename_variables,[],[4548])). % 197.50/197.48 cnf(12403,plain, % 197.50/197.48 (~P1(f341(f341(f241(a881),f341(a128,x124031)),x124031))), % 197.50/197.48 inference(rename_variables,[],[4561])). % 197.50/197.48 cnf(12404,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),f2(a881)),x124041))), % 197.50/197.48 inference(rename_variables,[],[3334])). % 197.50/197.48 cnf(12410,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x124101,a874)),x124102),x124102))), % 197.50/197.48 inference(rename_variables,[],[3613])). % 197.50/197.48 cnf(12411,plain, % 197.50/197.48 (P18(x124111,x124111,f34(x124111),x124112)), % 197.50/197.48 inference(rename_variables,[],[3554])). % 197.50/197.48 cnf(12416,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x124161),x124161))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(12417,plain, % 197.50/197.48 (~E(f341(a128,x124171),x124171)), % 197.50/197.48 inference(rename_variables,[],[4476])). % 197.50/197.48 cnf(12420,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x124201,a874)),f193(f889(x124201,a874))),x124202))), % 197.50/197.48 inference(rename_variables,[],[3759])). % 197.50/197.48 cnf(12423,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),x124231),x124231))), % 197.50/197.48 inference(rename_variables,[],[3311])). % 197.50/197.48 cnf(12426,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x124261,a874)),x124262),x124262))), % 197.50/197.48 inference(rename_variables,[],[3613])). % 197.50/197.48 cnf(12431,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x124311,a874)),x124312),f341(f341(f318(x124311),x124313),x124312)))), % 197.50/197.48 inference(rename_variables,[],[3758])). % 197.50/197.48 cnf(12434,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x124341,a874)),x124342),x124342))), % 197.50/197.48 inference(rename_variables,[],[3613])). % 197.50/197.48 cnf(12435,plain, % 197.50/197.48 (~P1(f341(f341(f344(x124351),x124352),f193(f889(x124351,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(12438,plain, % 197.50/197.48 (~P1(f341(f341(f344(x124381),x124382),f193(f889(x124381,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(12441,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x124411,a874)),x124412),f341(f341(f318(x124411),x124413),x124412)))), % 197.50/197.48 inference(rename_variables,[],[3758])). % 197.50/197.48 cnf(12446,plain, % 197.50/197.48 (E(f341(f194(f883(x124461)),f341(f172(x124461),x124462)),f341(f194(f883(x124461)),x124462))), % 197.50/197.48 inference(rename_variables,[],[3323])). % 197.50/197.48 cnf(12449,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x124491),x124491))), % 197.50/197.48 inference(rename_variables,[],[4544])). % 197.50/197.48 cnf(12450,plain, % 197.50/197.48 (P1(f341(f249(f889(x124501,a874)),x124502))), % 197.50/197.48 inference(rename_variables,[],[3378])). % 197.50/197.48 cnf(12453,plain, % 197.50/197.48 (~P1(f341(f341(f344(x124531),x124532),f193(f889(x124531,a874))))), % 197.50/197.48 inference(rename_variables,[],[4564])). % 197.50/197.48 cnf(12456,plain, % 197.50/197.48 (P1(f341(f341(f344(x124561),f341(x124562,x124563)),f341(f341(f317(x124564,x124561),x124562),f249(f889(x124564,a874)))))), % 197.50/197.48 inference(rename_variables,[],[3878])). % 197.50/197.48 cnf(12457,plain, % 197.50/197.48 (P1(f341(f341(f344(f888(x124571,x124571)),f341(f341(f257(x124571,x124571),x124572),x124572)),f315(x124571,x124573)))), % 197.50/197.48 inference(rename_variables,[],[3934])). % 197.50/197.48 cnf(12460,plain, % 197.50/197.48 (P1(f341(f341(f344(f888(x124601,x124601)),f341(f341(f257(x124601,x124601),x124602),x124602)),f315(x124601,x124603)))), % 197.50/197.48 inference(rename_variables,[],[3934])). % 197.50/197.48 cnf(12463,plain, % 197.50/197.48 (P1(f341(f341(f241(a881),x124631),x124631))), % 197.50/197.48 inference(rename_variables,[],[3311])). % 197.50/197.48 cnf(12464,plain, % 197.50/197.48 (P1(f341(f249(f889(x124641,a874)),x124642))), % 197.50/197.48 inference(rename_variables,[],[3378])). % 197.50/197.48 cnf(12467,plain, % 197.50/197.48 (P1(f341(f72(x124671),f341(f176(x124671),x124672)))), % 197.50/197.48 inference(rename_variables,[],[3355])). % 197.50/197.48 cnf(12471,plain, % 197.50/197.48 (P1(f341(f341(f344(f888(x124711,x124711)),f341(f341(f257(x124711,x124711),x124712),x124712)),f341(f341(f296(x124711,x124711,x124711),f315(x124711,x124713)),f315(x124711,f315(x124711,x124713)))))), % 197.50/197.48 inference(scs_inference,[],[4467,3554,11127,12109,12246,12257,12360,12384,3563,3616,3281,4492,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,12168,12216,12364,12368,4489,10479,10573,11095,3373,3237,4486,2930,2931,2937,2949,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2980,2981,2982,2984,2985,2988,3008,3054,3057,3058,3060,3070,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,3247,3257,3413,11664,3564,10927,4073,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3165,4161,11205,3196,3323,3326,10836,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,4508,3300,11752,3428,4529,3211,3212,10383,10697,3478,3136,3235,11423,4455,4446,4084,12396,3934,11034,11161,11217,12340,12346,12457,12460,4400,10445,4581,10974,11168,11276,11337,11343,12294,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,12249,12291,12371,3673,3467,4359,4360,4562,4120,4497,11416,3619,3817,3865,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,12176,3762,11652,3293,3401,11492,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,12134,12297,4568,11531,11563,11602,11632,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,3355,12220,12313,4052,4003,11917,12270,3944,10871,12080,12100,3994,11043,12140,12219,12282,12312,3674,11927,12075,12145,12204,4045,3693,11040,11115,11185,11251,12096,12162,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,12152,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,12188,12263,12423,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,3313,10859,10921,12191,3393,12128,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,12135,12231,12234,12316,12322,12399,12416,3474,10578,10669,10924,10971,11243,11312,11496,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,12158,12302,12337,12343,12435,12438,3378,10694,10724,11273,12450,3416,3825,3766,10364,11655,11686,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,3334,10876,11687,11829,12030,12264,3786,4123,4555,3793,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,3878,11371,11713,11717,12359,12383,3758,10987,10993,11008,11949,12161,12431,3613,11193,11292,12197,12260,12309,12393,12410,12426,3650,3759,11063,11214,11248,11259,12276,12392,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,11489,12252,12267,12305,4172,10862,12279,12288,4086,3785,3736,4575,10337,10340,10682,10685,11528,4576,11629,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448,6450,6451,6452,6454,6456,6457,6458,6465,6472,6473,6474,6475,6481,6483,6523,6529,6544,6547,6548,6549,6586,6591,6593,6598,6599,6610,6613,6628,6655,6656,6657,6658,6669,6673,6693,6697,6715,6733,6745,6746,6747,6752,6765,6788,6790,6792,6794,6797,6798,6804,6806,6818,6824,6863,6867,6868,6884,6885,6886,6887,6910,6911,6928,6956,6977,6982,6991,6993,6994,6996,6998,7031,7032,7033,7037,7038,7040,7042,7043,7044,7070,7080,7081,7092,7103,7144,7153,7159,7166,7178,7183,7185,7191,7198,7224,7231,7234,7241,7243,7314,7316,7317,7318,7325,7326,7328,7353,7397,7425,7448,7479,7486,7510,7535,7536,7552,7555,7556,7559,7567,7583,7584,7586,7588,7590,7592,7593,7594,7620,7645,7646,7679,7680,7681,7682,7710,7717,7728,7733,7738,7740,7746,7757,7758,7760,7788,7810,7874,7875,7920,7927,7928,7948,7954,7955,7956,7973,7974,8039,8040,8041,8101,8106,8133,8165,8170,8186,8192,8209,8216,8304,8316,8317,8336,8364,8388,8461,8462,8466,8479,8573,8574,8575,8576,8602,8632,8659,8693,8701,8703,8720,8724,8726,8749,8756,8794,8800,8831,8853,8860,8862,8905,8992,9087,9112,9121,9149,9151,9154,9158,9161,9162,9170,9195,9209,9266,9285,9330,9331,9337,9395,9437,9447])). % 197.50/197.48 cnf(12474,plain, % 197.50/197.48 (~P1(f341(f341(f193(f889(x124741,f889(x124742,a874))),x124743),x124744))), % 197.50/197.48 inference(rename_variables,[],[4579])). % 197.50/197.48 cnf(12480,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x124801,a874)),x124802),f249(f889(x124801,a874))))), % 197.50/197.48 inference(rename_variables,[],[3693])). % 197.50/197.48 cnf(12483,plain, % 197.50/197.48 (P1(f341(f341(f344(f888(x124831,x124831)),f341(f341(f257(x124831,x124831),x124832),x124832)),f315(x124831,x124833)))), % 197.50/197.48 inference(rename_variables,[],[3934])). % 197.50/197.48 cnf(12486,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),f341(f341(f91(a881),x124861),x124862)),x124862))), % 197.50/197.48 inference(rename_variables,[],[4575])). % 197.50/197.48 cnf(12487,plain, % 197.50/197.48 (P1(f341(f341(f242(a881),x124871),f341(a128,x124871)))), % 197.50/197.48 inference(rename_variables,[],[3384])). % 197.50/197.48 cnf(12492,plain, % 197.50/197.48 (P1(f341(f341(f241(f889(x124921,a874)),x124922),f249(f889(x124921,a874))))), % 197.50/197.48 inference(rename_variables,[],[3693])). % 197.50/197.48 cnf(12495,plain, % 197.50/197.48 (E(f341(f270(x124951,x124951),f271(x124951,x124952)),x124952)), % 197.50/197.48 inference(rename_variables,[],[3271])). % 197.50/197.48 cnf(12505,plain, % 197.50/197.48 (~P1(f341(f341(f242(a881),x125051),f341(f194(f883(x125052)),f129(x125052))))), % 197.50/197.49 inference(scs_inference,[],[4467,3554,11127,12109,12246,12257,12360,12384,3563,3616,3281,4492,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,12168,12216,12364,12368,4489,10479,10573,11095,3373,3237,4486,2930,2931,2937,2949,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2980,2981,2982,2984,2985,2988,3008,3054,3057,3058,3060,3070,3074,3076,3091,3092,3094,3097,3098,3101,3102,3208,3118,4472,3652,3493,4325,3168,11387,3356,3271,10327,10330,10418,10421,10721,11402,11405,11560,11661,3247,3257,3413,11664,3564,10927,4073,3160,4533,11329,11332,3549,3854,11431,3215,3154,3182,3971,3165,4161,11205,3196,3323,3326,10836,3246,3266,10515,4361,4559,10318,11270,4499,11479,11542,11545,4508,3300,11752,3428,4529,3211,3212,10383,10697,3478,3136,3235,11423,4455,4446,4084,12396,3934,11034,11161,11217,12340,12346,12457,12460,12483,4400,10445,4581,10974,11168,11276,11337,11343,12294,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,12249,12291,12371,3673,3467,4359,4360,4562,4120,4497,11416,3619,3817,3865,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,12176,3762,11652,3293,3401,11492,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,12134,12297,4568,11531,11563,11602,11632,3750,3524,3891,3340,3342,3314,4545,4494,3507,4569,4078,11295,3636,3355,12220,12313,4052,4003,11917,12270,3944,10871,12080,12100,3994,11043,12140,12219,12282,12312,3674,11927,12075,12145,12204,4045,3693,11040,11115,11185,11251,12096,12162,12363,12480,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,12152,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,12188,12263,12423,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,3313,10859,10921,12191,3393,12128,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,12135,12231,12234,12316,12322,12399,12416,3474,10578,10669,10924,10971,11243,11312,11496,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,12158,12302,12337,12343,12435,12438,12453,3378,10694,10724,11273,12450,3416,3825,3766,10364,11655,11686,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,3334,10876,11687,11829,12030,12264,3786,4123,4555,3793,4536,3856,4538,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,3878,11371,11713,11717,12359,12383,3758,10987,10993,11008,11949,12161,12431,3613,11193,11292,12197,12260,12309,12393,12410,12426,3650,4081,3759,11063,11214,11248,11259,12276,12392,3581,10655,10658,10727,10903,4577,11649,4579,10596,10782,11188,11489,12252,12267,12305,12380,12474,4172,10862,12279,12288,4086,3785,3736,4575,10337,10340,10682,10685,11528,11714,4576,11629,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,87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% 197.50/197.49 cnf(12506,plain, % 197.50/197.49 (~P1(f341(f341(f344(x125061),x125062),f193(f889(x125061,a874))))), % 197.50/197.49 inference(rename_variables,[],[4564])). % 197.50/197.49 cnf(12507,plain, % 197.50/197.49 (P1(f341(f341(f344(f888(f883(x125071),f883(x125071))),f341(f341(f257(f883(x125071),f883(x125071)),f129(x125071)),f129(x125071))),f163(x125071,x125072)))), % 197.50/197.49 inference(rename_variables,[],[4084])). % 197.50/197.49 cnf(12512,plain, % 197.50/197.49 (~P1(f341(f341(f344(x125121),x125122),f193(f889(x125121,a874))))), % 197.50/197.49 inference(rename_variables,[],[4564])). % 197.50/197.49 cnf(12517,plain, % 197.50/197.49 (~E(f341(f341(f54(x125171,x125172),x125173),x125174),f341(f49(x125171,x125172),x125175))), % 197.50/197.49 inference(rename_variables,[],[4559])). % 197.50/197.49 cnf(12520,plain, % 197.50/197.49 (E(f341(f194(f883(x125201)),f341(f172(x125201),x125202)),f341(f194(f883(x125201)),x125202))), % 197.50/197.49 inference(rename_variables,[],[3323])). % 197.50/197.49 cnf(12523,plain, % 197.50/197.49 (~P1(f341(f341(f344(x125231),x125232),f193(f889(x125231,a874))))), % 197.50/197.49 inference(rename_variables,[],[4564])). % 197.50/197.49 cnf(12526,plain, % 197.50/197.49 (P1(f341(f341(f344(x125261),x125262),f249(f889(x125261,a874))))), % 197.50/197.49 inference(rename_variables,[],[3474])). % 197.50/197.49 cnf(12530,plain, % 197.50/197.49 (~P1(f341(f341(f242(a881),x125301),x125301))), % 197.50/197.49 inference(rename_variables,[],[4544])). % 197.50/197.49 cnf(12533,plain, % 197.50/197.49 (P1(f341(f341(f344(x125331),x125332),f249(f889(x125331,a874))))), % 197.50/197.49 inference(rename_variables,[],[3474])). % 197.50/197.49 cnf(12539,plain, % 197.50/197.49 (~P1(f341(f341(f344(x125391),x125392),f193(f889(x125391,a874))))), % 197.50/197.49 inference(rename_variables,[],[4564])). % 197.50/197.49 cnf(12542,plain, % 197.50/197.49 (P1(f341(f341(f241(a1),f2(a1)),f341(f341(f251(a1),f341(f85(a1),x125421)),x125422)))), % 197.50/197.49 inference(rename_variables,[],[3785])). % 197.50/197.49 cnf(12545,plain, % 197.50/197.49 (~E(f341(a128,x125451),x125451)), % 197.50/197.49 inference(rename_variables,[],[4476])). % 197.50/197.49 cnf(12547,plain, % 197.50/197.49 (E(f341(f270(x125471,x125471),f271(x125471,x125472)),x125472)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(12557,plain, % 197.50/197.49 (P18(x125571,x125571,f34(x125571),x125572)), % 197.50/197.49 inference(rename_variables,[],[3554])). % 197.50/197.49 cnf(12559,plain, % 197.50/197.49 (P18(x125591,x125591,f34(x125591),x125592)), % 197.50/197.49 inference(rename_variables,[],[3554])). % 197.50/197.49 cnf(12562,plain, % 197.50/197.49 (E(f341(f341(x125621,x125622),f341(f188(x125623,x125624,x125621),x125622)),f341(f188(x125623,x125624,x125621),f341(a128,x125622)))), % 197.50/197.49 inference(rename_variables,[],[3709])). % 197.50/197.49 cnf(12564,plain, % 197.50/197.49 (P18(x125641,x125642,x125643,f193(f889(x125641,a874)))), % 197.50/197.49 inference(rename_variables,[],[3615])). % 197.50/197.49 cnf(12566,plain, % 197.50/197.49 (P46(x125661,x125662,f271(x125661,x125662))), % 197.50/197.49 inference(rename_variables,[],[3280])). % 197.50/197.49 cnf(12568,plain, % 197.50/197.49 (P46(x125681,x125682,f271(x125681,x125682))), % 197.50/197.49 inference(rename_variables,[],[3280])). % 197.50/197.49 cnf(12572,plain, % 197.50/197.49 (E(f341(f270(x125721,x125721),f271(x125721,x125722)),x125722)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(12574,plain, % 197.50/197.49 (E(f341(f270(x125741,x125741),f271(x125741,x125742)),x125742)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(12576,plain, % 197.50/197.49 (P34(x125761,f158(x125761,x125762))), % 197.50/197.49 inference(rename_variables,[],[3191])). % 197.50/197.49 cnf(12584,plain, % 197.50/197.49 (E(f341(f270(x125841,x125841),f271(x125841,x125842)),x125842)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(12586,plain, % 197.50/197.49 (E(f341(f270(x125861,x125861),f271(x125861,x125862)),x125862)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(12588,plain, % 197.50/197.49 (P10(x125881,a338)), % 197.50/197.49 inference(rename_variables,[],[3135])). % 197.50/197.49 cnf(12590,plain, % 197.50/197.49 (P54(x125901,f193(f889(x125901,a874)),x125902)), % 197.50/197.49 inference(rename_variables,[],[3332])). % 197.50/197.49 cnf(12594,plain, % 197.50/197.49 (P38(x125941,x125942,x125943,x125944,f193(f889(x125941,a874)),x125944)), % 197.50/197.49 inference(rename_variables,[],[4241])). % 197.50/197.49 cnf(12601,plain, % 197.50/197.49 (P17(x126011,x126012,f193(f889(f880(x126011),a874)))), % 197.50/197.49 inference(rename_variables,[],[3372])). % 197.50/197.49 cnf(12608,plain, % 197.50/197.49 (E(f341(f270(x126081,x126081),f271(x126081,x126082)),x126082)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(12610,plain, % 197.50/197.49 (P30(x126101,x126102,f129(x126101),f129(x126101))), % 197.50/197.49 inference(rename_variables,[],[3563])). % 197.50/197.49 cnf(12612,plain, % 197.50/197.49 (P30(x126121,x126122,f129(x126121),f129(x126121))), % 197.50/197.49 inference(rename_variables,[],[3563])). % 197.50/197.49 cnf(12618,plain, % 197.50/197.49 (P47(x126181,x126181,a338,f34(x126181),f34(x126181))), % 197.50/197.49 inference(rename_variables,[],[3960])). % 197.50/197.49 cnf(12620,plain, % 197.50/197.49 (P47(x126201,x126201,a338,f34(x126201),f34(x126201))), % 197.50/197.49 inference(rename_variables,[],[3960])). % 197.50/197.49 cnf(12624,plain, % 197.50/197.49 (E(f341(f270(x126241,x126241),f271(x126241,x126242)),x126242)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(12626,plain, % 197.50/197.49 (P53(x126261,x126261,f271(x126261,x126262))), % 197.50/197.49 inference(rename_variables,[],[3281])). % 197.50/197.49 cnf(12632,plain, % 197.50/197.49 (P19(x126321,x126322,x126323,x126324,f193(f889(x126321,a874)),x126324)), % 197.50/197.49 inference(rename_variables,[],[4243])). % 197.50/197.49 cnf(12635,plain, % 197.50/197.49 (P19(x126351,x126352,x126353,x126354,f193(f889(x126351,a874)),x126354)), % 197.50/197.49 inference(rename_variables,[],[4243])). % 197.50/197.49 cnf(12637,plain, % 197.50/197.49 (P19(x126371,x126372,x126373,x126374,f193(f889(x126371,a874)),x126374)), % 197.50/197.49 inference(rename_variables,[],[4243])). % 197.50/197.49 cnf(12639,plain, % 197.50/197.49 (P19(x126391,x126392,x126393,x126394,f193(f889(x126391,a874)),x126394)), % 197.50/197.49 inference(rename_variables,[],[4243])). % 197.50/197.49 cnf(12642,plain, % 197.50/197.49 (E(f193(f889(f888(x126421,x126421),a874)),f271(x126421,f193(f889(x126421,a874))))), % 197.50/197.49 inference(rename_variables,[],[3388])). % 197.50/197.49 cnf(12646,plain, % 197.50/197.49 (E(f193(f889(f888(x126461,x126461),a874)),f271(x126461,f193(f889(x126461,a874))))), % 197.50/197.49 inference(rename_variables,[],[3388])). % 197.50/197.49 cnf(12650,plain, % 197.50/197.49 (E(f341(f270(x126501,x126501),f271(x126501,x126502)),x126502)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(12658,plain, % 197.50/197.49 (E(f341(f270(x126581,x126581),f271(x126581,x126582)),x126582)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(12660,plain, % 197.50/197.49 (P27(x126601,f2(a881),f341(f341(f341(f103(x126601),x126602),f341(a26,x126603)),x126604))), % 197.50/197.49 inference(rename_variables,[],[3685])). % 197.50/197.49 cnf(12668,plain, % 197.50/197.49 (E(f341(f270(x126681,x126681),f271(x126681,x126682)),x126682)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(12679,plain, % 197.50/197.49 (~P1(f341(f341(f242(a881),x126791),f2(a881)))), % 197.50/197.49 inference(rename_variables,[],[4548])). % 197.50/197.49 cnf(12692,plain, % 197.50/197.49 (~P1(f341(f341(f242(a1),f341(f116(a1),x126921)),f341(f90(a1),f341(f116(a1),x126922))))), % 197.50/197.49 inference(rename_variables,[],[4573])). % 197.50/197.49 cnf(12702,plain, % 197.50/197.49 (~P1(f341(f341(f242(a881),x127021),f2(a881)))), % 197.50/197.49 inference(rename_variables,[],[4548])). % 197.50/197.49 cnf(12705,plain, % 197.50/197.49 (~P1(f341(f341(f242(a881),x127051),f2(a881)))), % 197.50/197.49 inference(rename_variables,[],[4548])). % 197.50/197.49 cnf(12708,plain, % 197.50/197.49 (P1(f341(f72(a881),f312(a881,x127081,x127082)))), % 197.50/197.49 inference(rename_variables,[],[3525])). % 197.50/197.49 cnf(12711,plain, % 197.50/197.49 (P1(f341(f72(a881),f312(a881,x127111,x127112)))), % 197.50/197.49 inference(rename_variables,[],[3525])). % 197.50/197.49 cnf(12714,plain, % 197.50/197.49 (P1(f341(f72(a881),f312(a881,x127141,x127142)))), % 197.50/197.49 inference(rename_variables,[],[3525])). % 197.50/197.49 cnf(12717,plain, % 197.50/197.49 (P1(f341(f72(a881),f312(a881,x127171,x127172)))), % 197.50/197.49 inference(rename_variables,[],[3525])). % 197.50/197.49 cnf(12724,plain, % 197.50/197.49 (P1(f341(f341(f241(a1),f341(f90(a1),f341(f116(a1),x127241))),f341(f116(a1),x127242)))), % 197.50/197.49 inference(rename_variables,[],[3786])). % 197.50/197.49 cnf(12727,plain, % 197.50/197.49 (~P1(f341(f341(f242(a881),x127271),f2(a881)))), % 197.50/197.49 inference(rename_variables,[],[4548])). % 197.50/197.49 cnf(12728,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x127281),x127281))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(12731,plain, % 197.50/197.49 (P1(f341(f341(f242(a881),x127311),f341(a128,x127311)))), % 197.50/197.49 inference(rename_variables,[],[3384])). % 197.50/197.49 cnf(12736,plain, % 197.50/197.49 (P1(f341(f341(f241(a1),x127361),x127361))), % 197.50/197.49 inference(rename_variables,[],[3312])). % 197.50/197.49 cnf(12739,plain, % 197.50/197.49 (P1(f341(f72(a881),f312(a881,x127391,x127392)))), % 197.50/197.49 inference(rename_variables,[],[3525])). % 197.50/197.49 cnf(12742,plain, % 197.50/197.49 (P1(f341(f72(a881),f312(a881,x127421,x127422)))), % 197.50/197.49 inference(rename_variables,[],[3525])). % 197.50/197.49 cnf(12745,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x127451),x127451))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(12758,plain, % 197.50/197.49 (P1(f341(f341(f242(a881),x127581),f341(a128,x127581)))), % 197.50/197.49 inference(rename_variables,[],[3384])). % 197.50/197.49 cnf(12763,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),f57(a881,x127631,x127632)),x127631))), % 197.50/197.49 inference(rename_variables,[],[3766])). % 197.50/197.49 cnf(12772,plain, % 197.50/197.49 (P1(f341(f341(f242(a881),x127721),f341(a128,x127721)))), % 197.50/197.49 inference(rename_variables,[],[3384])). % 197.50/197.49 cnf(12773,plain, % 197.50/197.49 (~P1(f341(f341(f242(a881),x127731),f2(a881)))), % 197.50/197.49 inference(rename_variables,[],[4548])). % 197.50/197.49 cnf(12782,plain, % 197.50/197.49 (~P1(f341(f341(f242(a1),f341(f116(a1),x127821)),f2(a1)))), % 197.50/197.49 inference(rename_variables,[],[4568])). % 197.50/197.49 cnf(12783,plain, % 197.50/197.49 (P1(f341(f249(f889(x127831,a874)),x127832))), % 197.50/197.49 inference(rename_variables,[],[3378])). % 197.50/197.49 cnf(12786,plain, % 197.50/197.49 (~P1(f341(f341(f242(a1),f341(f116(a1),x127861)),f2(a1)))), % 197.50/197.49 inference(rename_variables,[],[4568])). % 197.50/197.49 cnf(12787,plain, % 197.50/197.49 (P1(f341(f249(f889(x127871,a874)),x127872))), % 197.50/197.49 inference(rename_variables,[],[3378])). % 197.50/197.49 cnf(12790,plain, % 197.50/197.49 (P1(f341(f249(f889(x127901,a874)),x127902))), % 197.50/197.49 inference(rename_variables,[],[3378])). % 197.50/197.49 cnf(12793,plain, % 197.50/197.49 (P1(f341(f249(f889(x127931,a874)),x127932))), % 197.50/197.49 inference(rename_variables,[],[3378])). % 197.50/197.49 cnf(12801,plain, % 197.50/197.49 (P1(f341(f341(f199(a25),x128011),x128011))), % 197.50/197.49 inference(rename_variables,[],[3310])). % 197.50/197.49 cnf(12810,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),f2(a881)),x128101))), % 197.50/197.49 inference(rename_variables,[],[3334])). % 197.50/197.49 cnf(12813,plain, % 197.50/197.49 (P1(f341(f341(f242(a881),x128131),f341(a128,x128131)))), % 197.50/197.49 inference(rename_variables,[],[3384])). % 197.50/197.49 cnf(12814,plain, % 197.50/197.49 (~E(f341(a128,x128141),x128141)), % 197.50/197.49 inference(rename_variables,[],[4476])). % 197.50/197.49 cnf(12817,plain, % 197.50/197.49 (~P1(f341(f341(f344(x128171),x128172),f193(f889(x128171,a874))))), % 197.50/197.49 inference(rename_variables,[],[4564])). % 197.50/197.49 cnf(12820,plain, % 197.50/197.49 (~P1(f341(f341(f344(x128201),x128202),f193(f889(x128201,a874))))), % 197.50/197.49 inference(rename_variables,[],[4564])). % 197.50/197.49 cnf(12825,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x128251),x128251))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(12832,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x128321),x128321))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(12836,plain, % 197.50/197.49 (P1(f341(f341(f242(a881),x128361),f341(a128,x128361)))), % 197.50/197.49 inference(rename_variables,[],[3384])). % 197.50/197.49 cnf(12839,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x128391),x128391))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(12844,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x128441),x128441))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(12847,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x128471),x128471))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(12850,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x128501),x128501))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(12853,plain, % 197.50/197.49 (E(f341(f341(f3(f889(x128531,a874)),f193(f889(x128531,a874))),x128532),f193(f889(x128531,a874)))), % 197.50/197.49 inference(rename_variables,[],[3583])). % 197.50/197.49 cnf(12854,plain, % 197.50/197.49 (P1(f341(f72(x128541),f193(f889(x128541,a874))))), % 197.50/197.49 inference(rename_variables,[],[3393])). % 197.50/197.49 cnf(12857,plain, % 197.50/197.49 (E(f341(f341(f3(f889(x128571,a874)),f193(f889(x128571,a874))),x128572),f193(f889(x128571,a874)))), % 197.50/197.49 inference(rename_variables,[],[3583])). % 197.50/197.49 cnf(12858,plain, % 197.50/197.49 (P1(f341(f72(x128581),f193(f889(x128581,a874))))), % 197.50/197.49 inference(rename_variables,[],[3393])). % 197.50/197.49 cnf(12861,plain, % 197.50/197.49 (E(f341(f341(f3(f889(x128611,a874)),f193(f889(x128611,a874))),x128612),f193(f889(x128611,a874)))), % 197.50/197.49 inference(rename_variables,[],[3583])). % 197.50/197.49 cnf(12862,plain, % 197.50/197.49 (P1(f341(f72(x128621),f193(f889(x128621,a874))))), % 197.50/197.49 inference(rename_variables,[],[3393])). % 197.50/197.49 cnf(12865,plain, % 197.50/197.49 (E(f341(f341(f3(f889(x128651,a874)),f193(f889(x128651,a874))),x128652),f193(f889(x128651,a874)))), % 197.50/197.49 inference(rename_variables,[],[3583])). % 197.50/197.49 cnf(12866,plain, % 197.50/197.49 (P1(f341(f72(x128661),f193(f889(x128661,a874))))), % 197.50/197.49 inference(rename_variables,[],[3393])). % 197.50/197.49 cnf(12870,plain, % 197.50/197.49 (E(f341(f270(x128701,x128701),f271(x128701,x128702)),x128702)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(12875,plain, % 197.50/197.49 (P1(f341(f341(f294(a881),f341(a128,f2(a881))),x128751))), % 197.50/197.49 inference(rename_variables,[],[3475])). % 197.50/197.49 cnf(12876,plain, % 197.50/197.49 (~P1(f341(f341(f241(a881),f341(a128,x128761)),x128761))), % 197.50/197.49 inference(rename_variables,[],[4561])). % 197.50/197.49 cnf(12879,plain, % 197.50/197.49 (E(f341(f341(f3(f889(x128791,a874)),f193(f889(x128791,a874))),x128792),f193(f889(x128791,a874)))), % 197.50/197.49 inference(rename_variables,[],[3583])). % 197.50/197.49 cnf(12880,plain, % 197.50/197.49 (P1(f341(f72(x128801),f193(f889(x128801,a874))))), % 197.50/197.49 inference(rename_variables,[],[3393])). % 197.50/197.49 cnf(12884,plain, % 197.50/197.49 (P1(f341(f72(x128841),f193(f889(x128841,a874))))), % 197.50/197.49 inference(rename_variables,[],[3393])). % 197.50/197.49 cnf(12887,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x128871),x128871))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(12893,plain, % 197.50/197.49 (P1(f341(f341(f241(a1),x128931),x128931))), % 197.50/197.49 inference(rename_variables,[],[3312])). % 197.50/197.49 cnf(12896,plain, % 197.50/197.49 (P1(f341(f341(f242(a881),x128961),f341(a128,x128961)))), % 197.50/197.49 inference(rename_variables,[],[3384])). % 197.50/197.49 cnf(12899,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x128991),x128991))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(12902,plain, % 197.50/197.49 (P1(f341(f341(f242(a881),x129021),f341(a128,x129021)))), % 197.50/197.49 inference(rename_variables,[],[3384])). % 197.50/197.49 cnf(12917,plain, % 197.50/197.49 (P1(f341(f341(f241(a1),x129171),x129171))), % 197.50/197.49 inference(rename_variables,[],[3312])). % 197.50/197.49 cnf(12926,plain, % 197.50/197.49 (~P1(f341(f341(f344(x129261),x129262),f193(f889(x129261,a874))))), % 197.50/197.49 inference(rename_variables,[],[4564])). % 197.50/197.49 cnf(12931,plain, % 197.50/197.49 (~P1(f341(f341(f241(a881),f341(f341(f91(a881),f341(a128,x129311)),x129312)),x129312))), % 197.50/197.49 inference(scs_inference,[],[4467,3554,11127,12109,12246,12257,12360,12384,12411,12557,3563,12213,12610,12612,3616,3280,12566,12568,3281,12626,4241,12594,4243,12632,12635,12637,3960,12618,12620,4039,3135,3191,12576,4492,3615,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,12168,12216,12364,12368,12417,12545,4489,10479,10573,11095,3373,3332,12590,3237,4486,2930,2931,2937,2949,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2980,2981,2982,2984,2985,2988,2991,2994,2997,3008,3028,3032,3041,3047,3054,3057,3058,3059,3060,3070,3071,3074,3075,3076,3086,3091,3092,3093,3094,3097,3098,3101,3102,3208,4471,3118,3190,4472,3652,3493,4325,3168,11387,3291,3356,3268,3271,10327,10330,10418,10421,10721,11402,11405,11560,11661,12495,12547,12572,12574,12584,12586,12608,12624,12650,12658,12668,3638,3247,3257,3413,11664,3564,10927,4073,3160,4533,11329,11332,3549,3854,11431,3372,12601,3215,3154,3182,3685,12660,3863,3690,3971,3165,3145,4161,11205,3196,3323,12446,12520,3326,10836,3246,3266,10515,4361,4559,10318,11270,12356,12517,4499,11479,11542,11545,4508,3300,11752,3709,12562,3428,3637,4529,3388,12642,12646,3211,3212,10383,10697,3478,3205,3136,3235,11423,4455,4446,4084,12396,12507,3934,11034,11161,11217,12340,12346,12457,12460,12483,4400,10445,4581,10974,11168,11276,11337,11343,12294,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,12249,12291,12371,3673,3467,4359,4360,4562,4120,4497,11416,3619,3817,3583,12853,12857,12861,12865,12879,3534,3865,12243,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,12176,12487,12731,12758,12772,12813,12836,12896,12902,3762,11652,3293,3401,11492,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,12134,12297,12400,12679,12702,12705,12727,4568,11531,11563,11602,11632,12782,12786,3750,3524,3525,12708,12711,12714,12717,12739,3891,3340,3342,3314,4545,3210,4494,4004,3507,4569,4078,11295,3636,3355,12220,12313,4052,4003,11917,12270,3944,10871,12080,12100,3994,11043,12140,12219,12282,12312,3674,11927,12075,12145,12204,4045,3693,11040,11115,11185,11251,12096,12162,12363,12480,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,12152,12319,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,12188,12263,12423,12463,12728,12745,12825,12832,12839,12844,12847,12850,12887,12899,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,12022,12736,12893,3313,10859,10921,12191,12194,3393,12128,12854,12858,12862,12866,12880,12884,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,12135,12231,12234,12316,12322,12399,12416,12449,12530,3474,10578,10669,10924,10971,11243,11312,11496,12367,12526,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,12158,12302,12337,12343,12435,12438,12453,12506,12512,12523,12539,12817,12820,3378,10694,10724,11273,12450,12464,12783,12787,12790,3423,3416,3825,3766,10364,11655,11686,12763,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,12403,3334,10876,11687,11829,12030,12264,12404,3426,3786,11771,12724,4123,4555,3793,4536,3856,4538,4539,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,11320,3878,11371,11713,11717,12359,12383,3758,10987,10993,11008,11949,12161,12431,3613,11193,11292,12197,12260,12309,12393,12410,12426,3650,4081,3759,11063,11214,11248,11259,12276,12392,3475,3581,10655,10658,10727,10903,3580,4577,11649,4573,12692,4579,10596,10782,11188,11489,12252,12267,12305,12380,12474,4172,10862,12279,12288,4086,3785,12542,3736,11764,4575,10337,10340,10682,10685,11528,11714,12486,4576,11629,11723,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448,6450,6451,6452,6454,6456,6457,6458,6465,6472,6473,6474,6475,6481,6483,6523,6529,6544,6547,6548,6549,6586,6591,6593,6598,6599,6610,6613,6628,6655,6656,6657,6658,6669,6673,6693,6697,6715,6733,6745,6746,6747,6752,6765,6788,6790,6792,6794,6797,6798,6804,6806,6818,6824,6863,6867,6868,6884,6885,6886,6887,6910,6911,6928,6956,6977,6982,6991,6993,6994,6996,6998,7031,7032,7033,7037,7038,7040,7042,7043,7044,7070,7080,7081,7092,7103,7144,7153,7159,7166,7178,7183,7185,7191,7198,7224,7231,7234,7241,7243,7314,7316,7317,7318,7325,7326,7328,7353,7397,7425,7448,7479,7486,7510,7535,7536,7552,7555,7556,7559,7567,7583,7584,7586,7588,7590,7592,7593,7594,7620,7645,7646,7679,7680,7681,7682,7710,7717,7728,7733,7738,7740,7746,7757,7758,7760,7788,7810,7874,7875,7920,7927,7928,7948,7954,7955,7956,7973,7974,8039,8040,8041,8101,8106,8133,8165,8170,8186,8192,8209,8216,8304,8316,8317,8336,8364,8388,8461,8462,8466,8479,8573,8574,8575,8576,8602,8632,8659,8693,8701,8703,8720,8724,8726,8749,8756,8794,8800,8831,8853,8860,8862,8905,8992,9087,9112,9121,9149,9151,9154,9158,9161,9162,9170,9195,9209,9266,9285,9330,9331,9337,9395,9437,9447,9451,9452,9456,9457,9473,9476,9495,9505,9517,9518,9522,9524,9552,9662,9663,9700,9703,9780,9794,9886,9955,10026,10166,10171,3,2660,2664,2676,2677,2678,2679,2680,2681,2683,2684,2685,2686,2692,2693,2694,2707,2711,2726,2727,2728,2729,2731,2732,2739,2762,2765,2771,2772,2775,2778,2779,2780,2781,2782,2783,2786,2789,2791,2793,2794,2796,2798,2806,2807,2809,2813,2814,2815,2816,2819,2821,2822,2823,2824,2830,2832,2838,2839,2841,2842,2854,2857,2858,2861,2867,2879,2881,2887,2900,2901,2902,2905,2906,2908,2910,2919,2920,5269,5441,5447,5448,5521,5568,5612,5642,5674,5690,5692,5698,5768,5769,5770,5771,5788,5818,5958,6006,6067,6241,6248,6288,6289,6311,6314,6316,6323,6324,6325,6326,6327,6328,6329,6330,6331,6421,6495,6496,6584,6623,6624,6666,6667,6805,6876,6896,6897,6904,6929,6954,6962,6964,6971,7013,7035,7036,7053,7054,7055,7091,7138,7139,7230,7294,7295,7296,7297,7313,7347,7359,7402,7403,7410,7415,7417,7426,7451,7452,7453,7454,7600,7601,7608,7610,7611,7612,7686,7812,7815,7817,7818])). % 197.50/197.49 cnf(12937,plain, % 197.50/197.49 (P1(f341(f341(f344(x129371),x129372),f249(f889(x129371,a874))))), % 197.50/197.49 inference(rename_variables,[],[3474])). % 197.50/197.49 cnf(12941,plain, % 197.50/197.49 (P1(f341(f341(f241(f889(x129411,a874)),f341(f176(x129411),f341(f141(x129411,x129412),x129413))),f341(f176(x129411),x129413)))), % 197.50/197.49 inference(rename_variables,[],[3944])). % 197.50/197.49 cnf(12947,plain, % 197.50/197.49 (~P1(f341(f341(f242(a881),x129471),f2(a881)))), % 197.50/197.49 inference(rename_variables,[],[4548])). % 197.50/197.49 cnf(12948,plain, % 197.50/197.49 (P1(f341(f341(f241(a1),x129481),x129481))), % 197.50/197.49 inference(rename_variables,[],[3312])). % 197.50/197.49 cnf(12952,plain, % 197.50/197.49 (~P1(f341(f341(f242(a881),x129521),f2(a881)))), % 197.50/197.49 inference(rename_variables,[],[4548])). % 197.50/197.49 cnf(12953,plain, % 197.50/197.49 (P1(f341(f341(f241(a1),x129531),x129531))), % 197.50/197.49 inference(rename_variables,[],[3312])). % 197.50/197.49 cnf(12962,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x129621),x129621))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(12969,plain, % 197.50/197.49 (P1(f341(f341(f241(f889(x129691,a874)),f341(f176(x129691),f178(x129691,x129692,x129693))),f341(f176(x129691),x129692)))), % 197.50/197.49 inference(rename_variables,[],[3994])). % 197.50/197.49 cnf(12976,plain, % 197.50/197.49 (~P1(f341(f341(f242(a881),x129761),f2(a881)))), % 197.50/197.49 inference(rename_variables,[],[4548])). % 197.50/197.49 cnf(12977,plain, % 197.50/197.49 (P1(f341(f341(f241(a1),x129771),x129771))), % 197.50/197.49 inference(rename_variables,[],[3312])). % 197.50/197.49 cnf(12982,plain, % 197.50/197.49 (P1(f341(f341(f241(a1),x129821),x129821))), % 197.50/197.49 inference(rename_variables,[],[3312])). % 197.50/197.49 cnf(12987,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x129871),x129871))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(12989,plain, % 197.50/197.49 (~P1(f341(f341(f241(f889(a881,a874)),f310(a881,f341(a128,x129891),f341(a128,x129891))),f310(a881,x129892,x129891)))), % 197.50/197.49 inference(scs_inference,[],[4467,3554,11127,12109,12246,12257,12360,12384,12411,12557,3563,12213,12610,12612,3616,3280,12566,12568,3281,12626,4241,12594,4243,12632,12635,12637,3960,12618,12620,4039,3135,3191,12576,4492,3615,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,12168,12216,12364,12368,12417,12545,4489,10479,10573,11095,3373,3332,12590,3237,4486,2930,2931,2937,2949,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2980,2981,2982,2984,2985,2988,2991,2994,2997,3008,3028,3032,3041,3047,3054,3057,3058,3059,3060,3070,3071,3074,3075,3076,3086,3091,3092,3093,3094,3097,3098,3101,3102,3208,4471,3118,3190,4472,3652,3493,4325,3168,11387,3291,3356,3268,3271,10327,10330,10418,10421,10721,11402,11405,11560,11661,12495,12547,12572,12574,12584,12586,12608,12624,12650,12658,12668,3638,3247,3257,3413,11664,3564,10927,4073,3231,3160,4533,11329,11332,3549,3854,11431,3372,12601,3215,3154,3182,3685,12660,3863,3690,3971,3165,3145,4161,11205,3196,3323,12446,12520,3326,10836,3246,3266,10515,4361,4559,10318,11270,12356,12517,4499,11479,11542,11545,4508,3300,11752,3709,12562,3428,3637,4529,3388,12642,12646,3211,3212,10383,10697,3478,3205,3136,3235,11423,4455,4446,4084,12396,12507,3934,11034,11161,11217,12340,12346,12457,12460,12483,4400,10445,4581,10974,11168,11276,11337,11343,12294,4582,11074,11171,11279,4583,11174,4584,4585,3232,3514,12249,12291,12371,3673,3467,4359,4360,4562,4120,4497,11416,3619,3817,3583,12853,12857,12861,12865,12879,3534,3865,12243,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,12176,12487,12731,12758,12772,12813,12836,12896,12902,3762,11652,3293,3401,11492,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,12134,12297,12400,12679,12702,12705,12727,12773,12947,12952,12976,4568,11531,11563,11602,11632,12782,12786,3750,3524,3525,12708,12711,12714,12717,12739,3891,3340,3342,3314,4545,3210,4494,4004,3507,4569,4078,11295,3636,3355,12220,12313,12467,4052,4003,11917,12270,3944,10871,12080,12100,12283,3994,11043,12140,12219,12282,12312,3674,11927,12075,12145,12204,4045,3693,11040,11115,11185,11251,12096,12162,12363,12480,4572,10815,11133,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,12152,12319,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,12188,12263,12423,12463,12728,12745,12825,12832,12839,12844,12847,12850,12887,12899,12962,12987,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,12022,12736,12893,12917,12948,12953,12977,3313,10859,10921,12191,12194,3393,12128,12854,12858,12862,12866,12880,12884,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,12135,12231,12234,12316,12322,12399,12416,12449,12530,3474,10578,10669,10924,10971,11243,11312,11496,12367,12526,12533,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,12158,12302,12337,12343,12435,12438,12453,12506,12512,12523,12539,12817,12820,3378,10694,10724,11273,12450,12464,12783,12787,12790,12793,3423,3416,3825,3766,10364,11655,11686,12763,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,12403,12876,3334,10876,11687,11829,12030,12264,12404,3426,3786,11771,12724,4123,4555,3793,4536,3856,4538,4539,3286,3287,4537,4540,3627,11648,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,4580,11202,11303,11320,3878,11371,11713,11717,12359,12383,3758,10987,10993,11008,11949,12161,12431,3613,11193,11292,12197,12260,12309,12393,12410,12426,3650,12389,4081,3759,11063,11214,11248,11259,12276,12392,3475,3581,10655,10658,10727,10903,3580,4577,11649,4573,12692,4579,10596,10782,11188,11489,12252,12267,12305,12380,12474,4172,10862,12279,12288,4086,3785,12542,3736,11764,4575,10337,10340,10682,10685,11528,11714,12486,4576,11629,11723,3760,10652,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448,6450,6451,6452,6454,6456,6457,6458,6465,6472,6473,6474,6475,6481,6483,6523,6529,6544,6547,6548,6549,6586,6591,6593,6598,6599,6610,6613,6628,6655,6656,6657,6658,6669,6673,6693,6697,6715,6733,6745,6746,6747,6752,6765,6788,6790,6792,6794,6797,6798,6804,6806,6818,6824,6863,6867,6868,6884,6885,6886,6887,6910,6911,6928,6956,6977,6982,6991,6993,6994,6996,6998,7031,7032,7033,7037,7038,7040,7042,7043,7044,7070,7080,7081,7092,7103,7144,7153,7159,7166,7178,7183,7185,7191,7198,7224,7231,7234,7241,7243,7314,7316,7317,7318,7325,7326,7328,7353,7397,7425,7448,7479,7486,7510,7535,7536,7552,7555,7556,7559,7567,7583,7584,7586,7588,7590,7592,7593,7594,7620,7645,7646,7679,7680,7681,7682,7710,7717,7728,7733,7738,7740,7746,7757,7758,7760,7788,7810,7874,7875,7920,7927,7928,7948,7954,7955,7956,7973,7974,8039,8040,8041,8101,8106,8133,8165,8170,8186,8192,8209,8216,8304,8316,8317,8336,8364,8388,8461,8462,8466,8479,8573,8574,8575,8576,8602,8632,8659,8693,8701,8703,8720,8724,8726,8749,8756,8794,8800,8831,8853,8860,8862,8905,8992,9087,9112,9121,9149,9151,9154,9158,9161,9162,9170,9195,9209,9266,9285,9330,9331,9337,9395,9437,9447,9451,9452,9456,9457,9473,9476,9495,9505,9517,9518,9522,9524,9552,9662,9663,9700,9703,9780,9794,9886,9955,10026,10166,10171,3,2660,2664,2676,2677,2678,2679,2680,2681,2683,2684,2685,2686,2692,2693,2694,2707,2711,2726,2727,2728,2729,2731,2732,2739,2762,2765,2771,2772,2775,2778,2779,2780,2781,2782,2783,2786,2789,2791,2793,2794,2796,2798,2806,2807,2809,2813,2814,2815,2816,2819,2821,2822,2823,2824,2830,2832,2838,2839,2841,2842,2854,2857,2858,2861,2867,2879,2881,2887,2900,2901,2902,2905,2906,2908,2910,2919,2920,5269,5441,5447,5448,5521,5568,5612,5642,5674,5690,5692,5698,5768,5769,5770,5771,5788,5818,5958,6006,6067,6241,6248,6288,6289,6311,6314,6316,6323,6324,6325,6326,6327,6328,6329,6330,6331,6421,6495,6496,6584,6623,6624,6666,6667,6805,6876,6896,6897,6904,6929,6954,6962,6964,6971,7013,7035,7036,7053,7054,7055,7091,7138,7139,7230,7294,7295,7296,7297,7313,7347,7359,7402,7403,7410,7415,7417,7426,7451,7452,7453,7454,7600,7601,7608,7610,7611,7612,7686,7812,7815,7817,7818,7834,7872,7992,8050,8070,8071,8089,8150,8246,8314,8315,8350,8384,8419,8420,8486,8511,8512])). % 197.50/197.49 cnf(12990,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x129901),x129901))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(12993,plain, % 197.50/197.49 (~P1(f341(f341(f241(a881),f341(a128,x129931)),x129931))), % 197.50/197.49 inference(rename_variables,[],[4561])). % 197.50/197.49 cnf(12996,plain, % 197.50/197.49 (~P1(f341(f341(f241(a881),f341(a128,x129961)),x129961))), % 197.50/197.49 inference(rename_variables,[],[4561])). % 197.50/197.49 cnf(12999,plain, % 197.50/197.49 (P1(f341(f341(f344(x129991),f341(x129992,x129993)),f341(f341(f317(x129994,x129991),x129992),f249(f889(x129994,a874)))))), % 197.50/197.49 inference(rename_variables,[],[3878])). % 197.50/197.49 cnf(13000,plain, % 197.50/197.49 (P18(x130001,x130001,f34(x130001),x130002)), % 197.50/197.49 inference(rename_variables,[],[3554])). % 197.50/197.49 cnf(13005,plain, % 197.50/197.49 (P1(f341(f341(f241(f889(x130051,a874)),x130052),f249(f889(x130051,a874))))), % 197.50/197.49 inference(rename_variables,[],[3693])). % 197.50/197.49 cnf(13006,plain, % 197.50/197.49 (P18(x130061,x130061,f34(x130061),x130062)), % 197.50/197.49 inference(rename_variables,[],[3554])). % 197.50/197.49 cnf(13010,plain, % 197.50/197.49 (P1(f341(f341(f241(f889(x130101,a874)),x130102),f249(f889(x130101,a874))))), % 197.50/197.49 inference(rename_variables,[],[3693])). % 197.50/197.49 cnf(13011,plain, % 197.50/197.49 (P18(x130111,x130111,f34(x130111),x130112)), % 197.50/197.49 inference(rename_variables,[],[3554])). % 197.50/197.49 cnf(13015,plain, % 197.50/197.49 (P18(x130151,x130151,f34(x130151),x130152)), % 197.50/197.49 inference(rename_variables,[],[3554])). % 197.50/197.49 cnf(13018,plain, % 197.50/197.49 (P1(f341(f341(f344(x130181),x130182),f249(f889(x130181,a874))))), % 197.50/197.49 inference(rename_variables,[],[3474])). % 197.50/197.49 cnf(13019,plain, % 197.50/197.49 (~P1(f341(f341(f344(x130191),x130192),f193(f889(x130191,a874))))), % 197.50/197.49 inference(rename_variables,[],[4564])). % 197.50/197.49 cnf(13033,plain, % 197.50/197.49 (P1(f341(f341(f241(f889(x130331,a874)),f193(f889(x130331,a874))),x130332))), % 197.50/197.49 inference(rename_variables,[],[3759])). % 197.50/197.49 cnf(13037,plain, % 197.50/197.49 (E(f341(f270(x130371,x130371),f271(x130371,x130372)),x130372)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(13041,plain, % 197.50/197.49 (~P1(f341(f341(f344(x130411),x130412),f193(f889(x130411,a874))))), % 197.50/197.49 inference(rename_variables,[],[4564])). % 197.50/197.49 cnf(13046,plain, % 197.50/197.49 (P18(x130461,x130461,f34(x130461),x130462)), % 197.50/197.49 inference(rename_variables,[],[3554])). % 197.50/197.49 cnf(13054,plain, % 197.50/197.49 (~P1(f341(f341(f344(x130541),x130542),f193(f889(x130541,a874))))), % 197.50/197.49 inference(rename_variables,[],[4564])). % 197.50/197.49 cnf(13062,plain, % 197.50/197.49 (~P1(f341(f341(f344(x130621),x130622),f193(f889(x130621,a874))))), % 197.50/197.49 inference(rename_variables,[],[4564])). % 197.50/197.49 cnf(13066,plain, % 197.50/197.49 (~P1(f341(f341(f344(x130661),x130662),f193(f889(x130661,a874))))), % 197.50/197.49 inference(rename_variables,[],[4564])). % 197.50/197.49 cnf(13071,plain, % 197.50/197.49 (~E(f341(a128,x130711),x130711)), % 197.50/197.49 inference(rename_variables,[],[4476])). % 197.50/197.49 cnf(13074,plain, % 197.50/197.49 (P1(f341(f341(f242(a881),x130741),f341(a128,x130741)))), % 197.50/197.49 inference(rename_variables,[],[3384])). % 197.50/197.49 cnf(13075,plain, % 197.50/197.49 (~E(f341(a128,x130751),x130751)), % 197.50/197.49 inference(rename_variables,[],[4476])). % 197.50/197.49 cnf(13078,plain, % 197.50/197.49 (P1(f341(f341(f242(a881),x130781),f341(a128,f341(f341(f91(a881),x130782),x130781))))), % 197.50/197.49 inference(rename_variables,[],[3760])). % 197.50/197.49 cnf(13079,plain, % 197.50/197.49 (P1(f341(f341(f242(a881),x130791),f341(a128,x130791)))), % 197.50/197.49 inference(rename_variables,[],[3384])). % 197.50/197.49 cnf(13083,plain, % 197.50/197.49 (~E(f341(a128,x130831),x130831)), % 197.50/197.49 inference(rename_variables,[],[4476])). % 197.50/197.49 cnf(13088,plain, % 197.50/197.49 (P1(f341(f341(f241(a1),f2(a1)),f341(f116(a1),x130881)))), % 197.50/197.49 inference(rename_variables,[],[3423])). % 197.50/197.49 cnf(13093,plain, % 197.50/197.49 (P1(f341(f341(f241(a1),f2(a1)),f341(f116(a1),x130931)))), % 197.50/197.49 inference(rename_variables,[],[3423])). % 197.50/197.49 cnf(13094,plain, % 197.50/197.49 (P1(f341(f341(f241(a1),x130941),x130941))), % 197.50/197.49 inference(rename_variables,[],[3312])). % 197.50/197.49 cnf(13097,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),f2(a881)),x130971))), % 197.50/197.49 inference(rename_variables,[],[3334])). % 197.50/197.49 cnf(13098,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x130981),x130981))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(13101,plain, % 197.50/197.49 (~E(f341(a128,x131011),f2(a881))), % 197.50/197.49 inference(rename_variables,[],[4486])). % 197.50/197.49 cnf(13109,plain, % 197.50/197.49 (P1(f341(f341(f241(f889(x131091,a874)),f341(f176(x131091),f178(x131091,x131092,x131093))),f341(f176(x131091),x131092)))), % 197.50/197.49 inference(rename_variables,[],[3994])). % 197.50/197.49 cnf(13114,plain, % 197.50/197.49 (~P1(f341(f341(f344(x131141),x131142),f193(f889(x131141,a874))))), % 197.50/197.49 inference(rename_variables,[],[4564])). % 197.50/197.49 cnf(13117,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),f2(a881)),x131171))), % 197.50/197.49 inference(rename_variables,[],[3334])). % 197.50/197.49 cnf(13119,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x131191),x131191))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(13128,plain, % 197.50/197.49 (P1(f341(f72(a881),f312(a881,x131281,x131282)))), % 197.50/197.49 inference(rename_variables,[],[3525])). % 197.50/197.49 cnf(13129,plain, % 197.50/197.49 (E(f341(f341(f246(a881),f341(a128,x131291)),f341(a128,x131292)),f341(a128,f341(f341(f246(a881),x131291),x131292)))), % 197.50/197.49 inference(rename_variables,[],[3489])). % 197.50/197.49 cnf(13132,plain, % 197.50/197.49 (P1(f341(f72(a881),f312(a881,x131321,x131322)))), % 197.50/197.49 inference(rename_variables,[],[3525])). % 197.50/197.49 cnf(13133,plain, % 197.50/197.49 (E(f341(f341(f192(a881),f341(a128,x131331)),f341(a128,x131332)),f341(a128,f341(f341(f192(a881),x131331),x131332)))), % 197.50/197.49 inference(rename_variables,[],[3490])). % 197.50/197.49 cnf(13136,plain, % 197.50/197.49 (P1(f341(f72(a881),f312(a881,x131361,x131362)))), % 197.50/197.49 inference(rename_variables,[],[3525])). % 197.50/197.49 cnf(13140,plain, % 197.50/197.49 (P1(f341(f72(a881),f312(a881,x131401,x131402)))), % 197.50/197.49 inference(rename_variables,[],[3525])). % 197.50/197.49 cnf(13144,plain, % 197.50/197.49 (P1(f341(f341(f241(f889(x131441,a874)),f341(f176(x131441),f341(f141(x131441,x131442),x131443))),f341(f176(x131441),x131443)))), % 197.50/197.49 inference(rename_variables,[],[3944])). % 197.50/197.49 cnf(13145,plain, % 197.50/197.49 (E(f341(f341(f18(x131451,x131452),x131453),x131454),x131453)), % 197.50/197.49 inference(rename_variables,[],[3300])). % 197.50/197.49 cnf(13148,plain, % 197.50/197.49 (P1(f341(f341(f241(f889(x131481,a874)),f341(f176(x131481),f341(f341(f177(x131481),x131482),x131483))),f341(f176(x131481),x131483)))), % 197.50/197.49 inference(rename_variables,[],[3988])). % 197.50/197.49 cnf(13149,plain, % 197.50/197.49 (E(f341(f341(f18(x131491,x131492),x131493),x131494),x131493)), % 197.50/197.49 inference(rename_variables,[],[3300])). % 197.50/197.49 cnf(13153,plain, % 197.50/197.49 (E(f341(f341(f18(x131531,x131532),x131533),x131534),x131533)), % 197.50/197.49 inference(rename_variables,[],[3300])). % 197.50/197.49 cnf(13166,plain, % 197.50/197.49 (P1(f341(f341(f241(a1),f2(a1)),f341(f116(a1),x131661)))), % 197.50/197.49 inference(rename_variables,[],[3423])). % 197.50/197.49 cnf(13173,plain, % 197.50/197.49 (E(f341(f270(x131731,x131731),f271(x131731,x131732)),x131732)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(13179,plain, % 197.50/197.49 (P1(f341(f341(f242(a881),x131791),f341(a128,x131791)))), % 197.50/197.49 inference(rename_variables,[],[3384])). % 197.50/197.49 cnf(13181,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),x131811),x131811))), % 197.50/197.49 inference(rename_variables,[],[3311])). % 197.50/197.49 cnf(13182,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),f2(a881)),x131821))), % 197.50/197.49 inference(rename_variables,[],[3334])). % 197.50/197.49 cnf(13185,plain, % 197.50/197.49 (P1(f341(f341(f242(a881),x131851),f341(a128,x131851)))), % 197.50/197.49 inference(rename_variables,[],[3384])). % 197.50/197.49 cnf(13188,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),f2(a881)),x131881))), % 197.50/197.49 inference(rename_variables,[],[3334])). % 197.50/197.49 cnf(13192,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),f2(a881)),x131921))), % 197.50/197.49 inference(rename_variables,[],[3334])). % 197.50/197.49 cnf(13193,plain, % 197.50/197.49 (P1(f341(f341(f242(a881),f2(a881)),f341(a128,x131931)))), % 197.50/197.49 inference(rename_variables,[],[3401])). % 197.50/197.49 cnf(13194,plain, % 197.50/197.49 (E(f341(f270(x131941,x131941),f271(x131941,x131942)),x131942)), % 197.50/197.49 inference(rename_variables,[],[3271])). % 197.50/197.49 cnf(13218,plain, % 197.50/197.49 (~E(f341(f341(f156(x132181),x132182),x132183),f341(f173(x132181),f129(x132181)))), % 197.50/197.49 inference(scs_inference,[],[4467,3554,11127,12109,12246,12257,12360,12384,12411,12557,12559,13000,13006,13011,13015,13046,3563,12213,12610,12612,3616,3280,12566,12568,3281,12626,4241,12594,4243,12632,12635,12637,12639,3960,12618,12620,4039,3135,12588,3191,12576,4492,3615,12564,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,12168,12216,12364,12368,12417,12545,12814,13071,13075,4489,10479,10573,11095,3373,3332,12590,3237,4486,12155,13101,2930,2931,2937,2949,2950,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2980,2981,2982,2984,2985,2988,2991,2994,2995,2997,2999,3008,3011,3015,3028,3032,3041,3047,3054,3057,3058,3059,3060,3070,3071,3074,3075,3076,3086,3091,3092,3093,3094,3097,3098,3101,3102,3208,4471,3118,3190,4472,3652,3493,4325,3168,11387,3291,3356,3268,3271,10327,10330,10418,10421,10721,11402,11405,11560,11661,12495,12547,12572,12574,12584,12586,12608,12624,12650,12658,12668,12870,13037,13173,13194,3638,3247,3257,3413,11664,11671,3564,10927,4073,3231,3158,3160,4533,11329,11332,3549,3854,11431,3372,12601,3215,3154,3182,3685,12660,3863,3690,3971,3165,3145,4161,11205,3196,3323,12446,12520,3326,10836,3246,3266,10515,3353,4361,4557,4559,10318,11270,12356,12517,4499,11479,11542,11545,11668,4508,3300,11752,11755,13145,13149,13153,3276,3709,12562,3295,3428,3637,3419,4529,3388,12642,12646,3211,3212,10383,10697,4542,3478,3205,3136,3235,11423,4455,4446,4084,12396,12507,3934,11034,11161,11217,12340,12346,12457,12460,12483,4400,10445,4581,10974,11168,11276,11337,11343,12294,4582,11074,11171,11279,4583,11174,11230,4584,4585,3232,3514,12249,12291,12371,3673,3467,4359,4360,3499,4562,11105,4120,4128,4497,11416,3619,3817,3583,12853,12857,12861,12865,12879,3534,3865,12243,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,12176,12487,12731,12758,12772,12813,12836,12896,12902,13074,13079,13179,13185,3762,11652,3293,3401,11492,11765,13193,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,12134,12297,12400,12679,12702,12705,12727,12773,12947,12952,12976,4568,11531,11563,11602,11632,12782,12786,3750,3524,3525,12708,12711,12714,12717,12739,12742,13128,13132,13136,3891,3489,13129,3490,13133,3340,3342,3314,4545,3210,4494,4004,3507,4569,4078,11295,3636,3355,12220,12313,12467,4052,4003,11917,12270,3944,10871,12080,12100,12283,12941,13144,3988,13148,3994,11043,12140,12219,12282,12312,12969,13109,3995,3674,11927,12075,12145,12204,4045,3693,11040,11115,11185,11251,12096,12162,12363,12480,12492,13005,13010,4572,10815,11133,12377,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,12152,12319,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,12188,12263,12423,12463,12728,12745,12825,12832,12839,12844,12847,12850,12887,12899,12962,12987,12990,13098,13119,13181,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,12022,12736,12893,12917,12948,12953,12977,12982,13094,3313,10859,10921,12191,12194,3393,12128,12854,12858,12862,12866,12880,12884,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,12135,12231,12234,12316,12322,12399,12416,12449,12530,3474,10578,10669,10924,10971,11243,11312,11496,12367,12526,12533,12937,13018,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,12158,12302,12337,12343,12435,12438,12453,12506,12512,12523,12539,12817,12820,12926,13019,13041,13054,13062,13066,13114,3378,10694,10724,11273,12450,12464,12783,12787,12790,12793,3423,13088,13093,13166,3416,3825,3766,10364,11655,11686,12763,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,12403,12876,12993,12996,3334,10876,11687,11829,12030,12264,12404,12810,13097,13117,13182,13188,13192,3426,3786,11771,12724,4123,4555,3793,4536,3856,4538,4539,3286,3287,4537,3289,4540,4296,3627,11648,11736,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,11836,4580,11202,11303,11320,3878,11371,11713,11717,12359,12383,12456,12999,3758,10987,10993,11008,11949,12161,12431,12441,3613,11193,11292,12197,12260,12309,12393,12410,12426,12434,3650,12389,4081,3759,11063,11214,11248,11259,12276,12392,12420,13033,3475,12875,3581,10655,10658,10727,10903,3580,4577,11649,4573,12692,4579,10596,10782,11188,11489,12252,12267,12305,12380,12474,4172,10862,12279,12288,12308,4086,3785,12542,3736,11764,4575,10337,10340,10682,10685,11528,11714,12486,4576,11629,11723,3760,10652,10900,13078,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448,6450,6451,6452,6454,6456,6457,6458,6465,6472,6473,6474,6475,6481,6483,6523,6529,6544,6547,6548,6549,6586,6591,6593,6598,6599,6610,6613,6628,6655,6656,6657,6658,6669,6673,6693,6697,6715,6733,6745,6746,6747,6752,6765,6788,6790,6792,6794,6797,6798,6804,6806,6818,6824,6863,6867,6868,6884,6885,6886,6887,6910,6911,6928,6956,6977,6982,6991,6993,6994,6996,6998,7031,7032,7033,7037,7038,7040,7042,7043,7044,7070,7080,7081,7092,7103,7144,7153,7159,7166,7178,7183,7185,7191,7198,7224,7231,7234,7241,7243,7314,7316,7317,7318,7325,7326,7328,7353,7397,7425,7448,7479,7486,7510,7535,7536,7552,7555,7556,7559,7567,7583,7584,7586,7588,7590,7592,7593,7594,7620,7645,7646,7679,7680,7681,7682,7710,7717,7728,7733,7738,7740,7746,7757,7758,7760,7788,7810,7874,7875,7920,7927,7928,7948,7954,7955,7956,7973,7974,8039,8040,8041,8101,8106,8133,8165,8170,8186,8192,8209,8216,8304,8316,8317,8336,8364,8388,8461,8462,8466,8479,8573,8574,8575,8576,8602,8632,8659,8693,8701,8703,8720,8724,8726,8749,8756,8794,8800,8831,8853,8860,8862,8905,8992,9087,9112,9121,9149,9151,9154,9158,9161,9162,9170,9195,9209,9266,9285,9330,9331,9337,9395,9437,9447,9451,9452,9456,9457,9473,9476,9495,9505,9517,9518,9522,9524,9552,9662,9663,9700,9703,9780,9794,9886,9955,10026,10166,10171,3,2660,2664,2676,2677,2678,2679,2680,2681,2683,2684,2685,2686,2692,2693,2694,2707,2711,2726,2727,2728,2729,2731,2732,2739,2762,2765,2771,2772,2775,2778,2779,2780,2781,2782,2783,2786,2789,2791,2793,2794,2796,2798,2806,2807,2809,2813,2814,2815,2816,2819,2821,2822,2823,2824,2830,2832,2838,2839,2841,2842,2854,2857,2858,2861,2867,2879,2881,2887,2900,2901,2902,2905,2906,2908,2910,2919,2920,5269,5441,5447,5448,5521,5568,5612,5642,5674,5690,5692,5698,5768,5769,5770,5771,5788,5818,5958,6006,6067,6241,6248,6288,6289,6311,6314,6316,6323,6324,6325,6326,6327,6328,6329,6330,6331,6421,6495,6496,6584,6623,6624,6666,6667,6805,6876,6896,6897,6904,6929,6954,6962,6964,6971,7013,7035,7036,7053,7054,7055,7091,7138,7139,7230,7294,7295,7296,7297,7313,7347,7359,7402,7403,7410,7415,7417,7426,7451,7452,7453,7454,7600,7601,7608,7610,7611,7612,7686,7812,7815,7817,7818,7834,7872,7992,8050,8070,8071,8089,8150,8246,8314,8315,8350,8384,8419,8420,8486,8511,8512,8513,8514,8555,8846,8847,8850,8899,9115,9130,9172,9230,9269,9303,9477,9491,9646,9743,9781,9978,5853,6402,6403,6498,6518,6519,6576,6895,6953,7176,7945,8507,8593,8825,8841,8842,8990,8991,9047,9048,9347,9348,9349,9350,9555,9803,9988,10218,6480,8409,8410,8887,8906,9804,4623,4660,4661,4664,4665,4710])). % 197.50/197.49 cnf(13302,plain, % 197.50/197.49 (~P1(f341(f72(x133021),f39(f889(x133021,a874),f249(f889(f889(x133021,a874),a874)))))), % 197.50/197.49 inference(scs_inference,[],[4467,3554,11127,12109,12246,12257,12360,12384,12411,12557,12559,13000,13006,13011,13015,13046,3563,12213,12610,12612,3616,3280,12566,12568,3281,12626,4241,12594,4243,12632,12635,12637,12639,3960,12618,12620,4039,3135,12588,3191,12576,4492,3615,12564,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,12168,12216,12364,12368,12417,12545,12814,13071,13075,4489,10479,10573,11095,3373,3332,12590,3237,4486,12155,13101,2930,2931,2937,2949,2950,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2980,2981,2982,2984,2985,2988,2991,2994,2995,2997,2999,3008,3011,3015,3028,3032,3041,3047,3054,3057,3058,3059,3060,3070,3071,3074,3075,3076,3086,3091,3092,3093,3094,3097,3098,3101,3102,3208,4471,3118,3190,4472,3652,3493,4325,3168,11387,3291,3356,3268,3271,10327,10330,10418,10421,10721,11402,11405,11560,11661,12495,12547,12572,12574,12584,12586,12608,12624,12650,12658,12668,12870,13037,13173,13194,3638,3247,3257,3413,11664,11671,3564,10927,4073,3231,3158,3160,4533,11329,11332,3549,3854,11431,3372,12601,3215,3154,3182,3685,12660,3863,3690,3971,3165,3145,4161,11205,3196,3323,12446,12520,3326,10836,3246,3266,10515,3353,4361,4557,4559,10318,11270,12356,12517,4499,11479,11542,11545,11668,4508,3300,11752,11755,13145,13149,13153,3276,3709,12562,3295,3428,3637,3419,4529,3388,12642,12646,3211,3212,10383,10697,4542,3478,3205,3136,3235,11423,4455,4446,4084,12396,12507,3934,11034,11161,11217,12340,12346,12457,12460,12483,4400,10445,4581,10974,11168,11276,11337,11343,12294,4582,11074,11171,11279,4583,11174,11230,4584,4585,3232,3514,12249,12291,12371,3673,3467,4359,4360,3499,4562,11105,4120,4128,4497,11416,3619,3817,3583,12853,12857,12861,12865,12879,3534,3865,12243,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,12176,12487,12731,12758,12772,12813,12836,12896,12902,13074,13079,13179,13185,3762,11652,3293,3401,11492,11765,13193,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,12134,12297,12400,12679,12702,12705,12727,12773,12947,12952,12976,4568,11531,11563,11602,11632,12782,12786,3750,3524,3525,12708,12711,12714,12717,12739,12742,13128,13132,13136,3891,3489,13129,3490,13133,3340,3342,3314,4545,3210,4494,4004,3507,4569,4078,11295,3636,3355,12220,12313,12467,4052,4003,11917,12270,3944,10871,12080,12100,12283,12941,13144,3988,13148,3994,11043,12140,12219,12282,12312,12969,13109,3995,3674,11927,12075,12145,12204,4045,3693,11040,11115,11185,11251,12096,12162,12363,12480,12492,13005,13010,4572,10815,11133,12377,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,12152,12319,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,12188,12263,12423,12463,12728,12745,12825,12832,12839,12844,12847,12850,12887,12899,12962,12987,12990,13098,13119,13181,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,12022,12736,12893,12917,12948,12953,12977,12982,13094,3313,10859,10921,12191,12194,3393,12128,12854,12858,12862,12866,12880,12884,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,12135,12231,12234,12316,12322,12399,12416,12449,12530,3474,10578,10669,10924,10971,11243,11312,11496,12367,12526,12533,12937,13018,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,12158,12302,12337,12343,12435,12438,12453,12506,12512,12523,12539,12817,12820,12926,13019,13041,13054,13062,13066,13114,3378,10694,10724,11273,12450,12464,12783,12787,12790,12793,3423,13088,13093,13166,3416,3825,3766,10364,11655,11686,12763,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,12403,12876,12993,12996,3334,10876,11687,11829,12030,12264,12404,12810,13097,13117,13182,13188,13192,3426,3786,11771,12724,4123,4555,3793,4536,3856,4538,4539,3286,3287,4537,3289,4540,4296,3627,11648,11736,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,11836,4580,11202,11303,11320,3878,11371,11713,11717,12359,12383,12456,12999,3758,10987,10993,11008,11949,12161,12431,12441,3613,11193,11292,12197,12260,12309,12393,12410,12426,12434,3650,12389,4081,3759,11063,11214,11248,11259,12276,12392,12420,13033,3475,12875,3581,10655,10658,10727,10903,3580,4577,11649,4573,12692,4579,10596,10782,11188,11489,12252,12267,12305,12380,12474,4172,10862,12279,12288,12308,4086,3785,12542,3736,11764,4575,10337,10340,10682,10685,11528,11714,12486,4576,11629,11723,3760,10652,10900,13078,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448,6450,6451,6452,6454,6456,6457,6458,6465,6472,6473,6474,6475,6481,6483,6523,6529,6544,6547,6548,6549,6586,6591,6593,6598,6599,6610,6613,6628,6655,6656,6657,6658,6669,6673,6693,6697,6715,6733,6745,6746,6747,6752,6765,6788,6790,6792,6794,6797,6798,6804,6806,6818,6824,6863,6867,6868,6884,6885,6886,6887,6910,6911,6928,6956,6977,6982,6991,6993,6994,6996,6998,7031,7032,7033,7037,7038,7040,7042,7043,7044,7070,7080,7081,7092,7103,7144,7153,7159,7166,7178,7183,7185,7191,7198,7224,7231,7234,7241,7243,7314,7316,7317,7318,7325,7326,7328,7353,7397,7425,7448,7479,7486,7510,7535,7536,7552,7555,7556,7559,7567,7583,7584,7586,7588,7590,7592,7593,7594,7620,7645,7646,7679,7680,7681,7682,7710,7717,7728,7733,7738,7740,7746,7757,7758,7760,7788,7810,7874,7875,7920,7927,7928,7948,7954,7955,7956,7973,7974,8039,8040,8041,8101,8106,8133,8165,8170,8186,8192,8209,8216,8304,8316,8317,8336,8364,8388,8461,8462,8466,8479,8573,8574,8575,8576,8602,8632,8659,8693,8701,8703,8720,8724,8726,8749,8756,8794,8800,8831,8853,8860,8862,8905,8992,9087,9112,9121,9149,9151,9154,9158,9161,9162,9170,9195,9209,9266,9285,9330,9331,9337,9395,9437,9447,9451,9452,9456,9457,9473,9476,9495,9505,9517,9518,9522,9524,9552,9662,9663,9700,9703,9780,9794,9886,9955,10026,10166,10171,3,2660,2664,2676,2677,2678,2679,2680,2681,2683,2684,2685,2686,2692,2693,2694,2707,2711,2726,2727,2728,2729,2731,2732,2739,2762,2765,2771,2772,2775,2778,2779,2780,2781,2782,2783,2786,2789,2791,2793,2794,2796,2798,2806,2807,2809,2813,2814,2815,2816,2819,2821,2822,2823,2824,2830,2832,2838,2839,2841,2842,2854,2857,2858,2861,2867,2879,2881,2887,2900,2901,2902,2905,2906,2908,2910,2919,2920,5269,5441,5447,5448,5521,5568,5612,5642,5674,5690,5692,5698,5768,5769,5770,5771,5788,5818,5958,6006,6067,6241,6248,6288,6289,6311,6314,6316,6323,6324,6325,6326,6327,6328,6329,6330,6331,6421,6495,6496,6584,6623,6624,6666,6667,6805,6876,6896,6897,6904,6929,6954,6962,6964,6971,7013,7035,7036,7053,7054,7055,7091,7138,7139,7230,7294,7295,7296,7297,7313,7347,7359,7402,7403,7410,7415,7417,7426,7451,7452,7453,7454,7600,7601,7608,7610,7611,7612,7686,7812,7815,7817,7818,7834,7872,7992,8050,8070,8071,8089,8150,8246,8314,8315,8350,8384,8419,8420,8486,8511,8512,8513,8514,8555,8846,8847,8850,8899,9115,9130,9172,9230,9269,9303,9477,9491,9646,9743,9781,9978,5853,6402,6403,6498,6518,6519,6576,6895,6953,7176,7945,8507,8593,8825,8841,8842,8990,8991,9047,9048,9347,9348,9349,9350,9555,9803,9988,10218,6480,8409,8410,8887,8906,9804,4623,4660,4661,4664,4665,4710,4714,4718,4856,4857,4886,4916,4973,4975,5030,5043,5151,5171,5211,5212,5214,5217,5219,5220,5243,5308,5327,5462,5526,5527,5638,5639,5663,5664,5668,5701,5721,5729,5731,5745,5751,5834,5916,5983,6026,6071,6119,6231])). % 197.50/197.49 cnf(13371,plain, % 197.50/197.49 (P1(f341(f341(f241(a881),f341(f341(f91(a881),f2(a881)),x133711)),x133711))), % 197.50/197.49 inference(scs_inference,[],[4467,3554,11127,12109,12246,12257,12360,12384,12411,12557,12559,13000,13006,13011,13015,13046,3563,12213,12610,12612,3616,3280,12566,12568,3281,12626,4241,12594,4243,12632,12635,12637,12639,3960,12618,12620,4039,3135,12588,3191,12576,4492,3615,12564,4476,10260,10270,10281,10292,10391,10394,10397,10615,11050,11085,11088,11284,11390,11397,11411,11451,11454,11476,11493,11568,11619,11635,11928,11953,11967,12002,12097,12168,12216,12364,12368,12417,12545,12814,13071,13075,13083,4489,10479,10573,11095,3373,3332,12590,3237,4486,12155,13101,2930,2931,2937,2949,2950,2952,2953,2954,2956,2957,2959,2966,2967,2973,2974,2977,2978,2980,2981,2982,2984,2985,2988,2991,2994,2995,2997,2999,3008,3011,3015,3028,3032,3041,3047,3053,3054,3057,3058,3059,3060,3070,3071,3074,3075,3076,3086,3091,3092,3093,3094,3097,3098,3101,3102,3208,4471,3118,3190,4472,3652,3493,4325,3168,11387,3291,3356,3268,3271,10327,10330,10418,10421,10721,11402,11405,11560,11661,12495,12547,12572,12574,12584,12586,12608,12624,12650,12658,12668,12870,13037,13173,13194,3638,3247,3257,3413,11664,11671,3564,10927,4073,3231,3158,3160,4533,11329,11332,3549,3854,11431,3372,12601,3213,3215,3154,3182,3685,12660,3863,3690,3971,3165,3145,4161,11205,3196,3323,12446,12520,3326,10836,3246,3266,10515,3353,4361,4557,4559,10318,11270,12356,12517,4499,11479,11542,11545,11668,4508,3300,11752,11755,13145,13149,13153,3276,3709,12562,3295,3428,3637,3419,4529,3388,12642,12646,3211,3212,10383,10697,4542,3478,3205,3136,3235,11423,4455,4446,4084,12396,12507,3934,11034,11161,11217,12340,12346,12457,12460,12483,4400,10445,4581,10974,11168,11276,11337,11343,12294,4582,11074,11171,11279,4583,11174,11230,4584,4585,3232,3514,12249,12291,12371,3673,3467,4359,4360,3499,4562,11105,4120,4128,4497,11416,3619,3817,3583,12853,12857,12861,12865,12879,3534,3865,12243,3501,3753,3384,10402,10510,10590,10663,10666,10700,10789,11024,11798,11844,11924,11992,12068,12103,12173,12176,12487,12731,12758,12772,12813,12836,12896,12902,13074,13079,13179,13185,3762,11652,3293,3401,11492,11765,13193,3461,4548,10295,10298,10324,10442,10599,10797,10812,10935,11315,11426,11515,11812,11820,12134,12297,12400,12679,12702,12705,12727,12773,12947,12952,12976,4568,11531,11563,11602,11632,12782,12786,3750,3524,3525,12708,12711,12714,12717,12739,12742,13128,13132,13136,13140,3891,3489,13129,3490,13133,3340,3342,3314,4545,3210,4494,4004,3507,4569,4078,11295,3636,3355,12220,12313,12467,4052,4003,11917,12270,3944,10871,12080,12100,12283,12941,13144,3988,13148,3994,11043,12140,12219,12282,12312,12969,13109,3995,3674,11927,12075,12145,12204,4045,3693,11040,11115,11185,11251,12096,12162,12363,12480,12492,13005,13010,4572,10815,11133,12377,3310,10411,10499,10649,10707,11508,11729,11768,11795,11897,11952,12152,12319,12801,3311,10769,10818,10821,10853,10879,10913,10954,10990,11970,11973,11976,11979,12179,12182,12185,12188,12263,12423,12463,12728,12745,12825,12832,12839,12844,12847,12850,12887,12899,12962,12987,12990,13098,13119,13181,3312,10492,10712,10792,10916,11615,11801,11815,11903,11914,11935,11940,11982,11985,12007,12022,12736,12893,12917,12948,12953,12977,12982,13094,3313,10859,10921,12191,12194,3393,12128,12854,12858,12862,12866,12880,12884,4544,10361,10450,10555,10585,10839,10882,10889,11112,11196,11579,11683,11704,11707,11710,11726,11859,11862,11865,11868,11966,11988,11991,12001,12056,12059,12062,12065,12135,12231,12234,12316,12322,12399,12416,12449,12530,3474,10578,10669,10924,10971,11243,11312,11496,12367,12526,12533,12937,13018,4564,10848,10856,10963,10981,10984,11031,11138,11152,11199,11211,11254,11287,11306,11309,11346,11359,11362,11365,11368,11374,11749,11774,12050,12053,12087,12106,12129,12158,12302,12337,12343,12435,12438,12453,12506,12512,12523,12539,12817,12820,12926,13019,13041,13054,13062,13066,13114,3378,10694,10724,11273,12450,12464,12783,12787,12790,12793,3423,13088,13093,13166,3416,3825,3766,10364,11655,11686,12763,4561,10315,10688,10691,11130,11149,11618,11674,11718,11830,11871,11874,11877,11880,12403,12876,12993,12996,3334,10876,11687,11829,12030,12264,12404,12810,13097,13117,13182,13188,13192,3426,3786,11771,12724,4123,4555,3793,4536,3856,4538,4539,3286,3287,4537,3289,4540,4296,3627,11648,11736,4574,10286,10289,10536,10562,10593,10604,10622,11011,11486,11833,11836,4580,11202,11303,11320,3878,11371,11713,11717,12359,12383,12456,12999,3758,10987,10993,11008,11949,12161,12431,12441,3613,11193,11292,12197,12260,12309,12393,12410,12426,12434,3650,12389,4081,3759,11063,11214,11248,11259,12276,12392,12420,13033,3475,12875,3581,10655,10658,10727,10903,3580,4577,11649,4573,12692,4579,10596,10782,11188,11489,12252,12267,12305,12380,12474,4172,10862,12279,12288,12308,4086,3785,12542,3736,11764,4575,10337,10340,10682,10685,11528,11714,12486,4576,11629,11723,3760,10652,10900,13078,3761,4027,4586,4592,4618,4662,4667,4694,4709,4716,4717,4753,4776,4782,4864,4888,4889,4927,4950,4951,4974,4976,4989,4993,5013,5018,5033,5037,5038,5047,5052,5053,5078,5102,5103,5113,5118,5126,5163,5164,5172,5180,5184,5186,5197,5201,5210,5215,5227,5232,5235,5236,5240,5273,5283,5290,5292,5293,5296,5297,5298,5305,5307,5311,5312,5313,5319,5321,5323,5324,5332,5335,5337,5343,5354,5361,5378,5380,5388,5390,5391,5394,5397,5424,5438,5439,5454,5466,5488,5494,5512,5513,5516,5531,5539,5540,5542,5553,5554,5567,5572,5581,5582,5596,5600,5610,5611,5623,5630,5643,5649,5655,5656,5657,5660,5665,5700,5702,5705,5707,5709,5711,5712,5713,5715,5717,5719,5724,5739,5753,5767,5774,5775,5787,5794,5795,5800,5803,5806,5810,5819,5857,5874,5882,5885,5895,5898,5899,5905,5908,5919,5925,5944,5949,5961,5989,6005,6033,6044,6047,6050,6051,6055,6057,6058,6070,6072,6073,6075,6086,6087,6090,6092,6095,6096,6109,6115,6116,6117,6120,6122,6155,6164,6174,6208,6210,6212,6214,6224,6226,6229,6233,6235,6240,6243,6249,6257,6259,6260,6268,6295,6302,6309,6345,6350,6351,6355,6356,6357,6358,6359,6360,6361,6370,6404,6405,6415,6438,6439,6464,6467,6478,6479,6485,6516,6517,6533,6560,6572,6574,6575,6632,6645,6709,6714,6720,6729,6730,6731,6732,6750,6751,6757,6769,6772,6775,6777,6778,6779,6781,6782,6796,6808,6809,6810,6821,6879,6892,6899,6916,6919,6920,6958,6968,6975,7034,7089,7120,7177,7203,7206,7259,7266,7327,7329,7346,7354,7357,7358,7376,7380,7382,7427,7436,7437,7449,7473,7485,7500,7503,7507,7550,7551,7570,7637,7655,7703,7716,7732,7741,7749,7750,7777,7779,7781,7790,7825,7836,7862,7918,7951,7985,8032,8047,8064,8065,8102,8142,8214,8238,8251,8372,8374,8379,8380,8399,8422,8446,8458,8460,8478,8504,8510,8519,8520,8532,8533,8534,8539,8544,8545,8546,8547,8548,8569,8570,8571,8584,8596,8598,8607,8611,8613,8614,8615,8616,8622,8628,8629,8655,8656,8684,8697,8721,8748,8750,8751,8752,8753,8767,8782,8798,8806,8814,8815,8816,8818,8839,8840,8856,8908,8913,8919,8935,8943,8954,9023,9055,9056,9057,9068,9085,9091,9114,9116,9160,9188,9211,9225,9236,9237,9261,9262,9282,9290,9296,9298,9320,9321,9345,9403,9404,9412,9444,9445,9446,9474,9475,9492,9500,9506,9529,9553,9578,9579,9580,9581,9583,9596,9634,9635,9640,9641,9682,9683,9691,9705,9735,9742,9746,9752,9778,9807,9810,9814,9865,9895,9908,9910,9914,9915,9917,9924,9925,9946,9951,9994,10084,10121,10154,10155,10175,10176,10177,10178,10230,10246,10251,10253,2,8,9,4605,4606,4624,4655,4656,4658,4681,4687,4688,4698,4742,4744,4781,4903,4904,4922,4941,4996,4999,5000,5002,5004,5015,5023,5035,5036,5050,5071,5072,5092,5097,5098,5099,5100,5101,5109,5112,5119,5120,5121,5177,5182,5183,5188,5191,5224,5233,5238,5255,5272,5279,5280,5282,5287,5302,5303,5304,5309,5316,5317,5328,5329,5330,5331,5333,5334,5339,5340,5341,5342,5370,5371,5372,5384,5385,5386,5387,5419,5433,5435,5437,5473,5475,5476,5478,5479,5481,5482,5484,5493,5498,5500,5502,5503,5504,5505,5506,5507,5514,5520,5523,5534,5547,5548,5551,5560,5563,5564,5565,5589,5598,5613,5614,5624,5626,5627,5629,5633,5667,5671,5673,5740,5776,5777,5790,5793,5796,5797,5798,5799,5804,5816,5817,5820,5821,5830,5852,5887,5902,5903,5904,5909,5934,5937,5941,5942,5943,5963,5978,5979,6008,6012,6035,6039,6043,6088,6091,6099,6105,6107,6114,6118,6125,6126,6127,6128,6157,6158,6175,6228,6261,6263,6265,6291,6292,6294,6298,6299,6305,6321,6338,6363,6364,6371,6383,6387,6397,6419,6426,6428,6443,6444,6448,6450,6451,6452,6454,6456,6457,6458,6465,6472,6473,6474,6475,6481,6483,6523,6529,6544,6547,6548,6549,6586,6591,6593,6598,6599,6610,6613,6628,6655,6656,6657,6658,6669,6673,6693,6697,6715,6733,6745,6746,6747,6752,6765,6788,6790,6792,6794,6797,6798,6804,6806,6818,6824,6863,6867,6868,6884,6885,6886,6887,6910,6911,6928,6956,6977,6982,6991,6993,6994,6996,6998,7031,7032,7033,7037,7038,7040,7042,7043,7044,7070,7080,7081,7092,7103,7144,7153,7159,7166,7178,7183,7185,7191,7198,7224,7231,7234,7241,7243,7314,7316,7317,7318,7325,7326,7328,7353,7397,7425,7448,7479,7486,7510,7535,7536,7552,7555,7556,7559,7567,7583,7584,7586,7588,7590,7592,7593,7594,7620,7645,7646,7679,7680,7681,7682,7710,7717,7728,7733,7738,7740,7746,7757,7758,7760,7788,7810,7874,7875,7920,7927,7928,7948,7954,7955,7956,7973,7974,8039,8040,8041,8101,8106,8133,8165,8170,8186,8192,8209,8216,8304,8316,8317,8336,8364,8388,8461,8462,8466,8479,8573,8574,8575,8576,8602,8632,8659,8693,8701,8703,8720,8724,8726,8749,8756,8794,8800,8831,8853,8860,8862,8905,8992,9087,9112,9121,9149,9151,9154,9158,9161,9162,9170,9195,9209,9266,9285,9330,9331,9337,9395,9437,9447,9451,9452,9456,9457,9473,9476,9495,9505,9517,9518,9522,9524,9552,9662,9663,9700,9703,9780,9794,9886,9955,10026,10166,10171,3,2660,2664,2676,2677,2678,2679,2680,2681,2683,2684,2685,2686,2692,2693,2694,2707,2711,2726,2727,2728,2729,2731,2732,2739,2762,2765,2771,2772,2775,2778,2779,2780,2781,2782,2783,2786,2789,2791,2793,2794,2796,2798,2806,2807,2809,2813,2814,2815,2816,2819,2821,2822,2823,2824,2830,2832,2838,2839,2841,2842,2854,2857,2858,2861,2867,2879,2881,2887,2900,2901,2902,2905,2906,2908,2910,2919,2920,5269,5441,5447,5448,5521,5568,5612,5642,5674,5690,5692,5698,5768,5769,5770,5771,5788,5818,5958,6006,6067,6241,6248,6288,6289,6311,6314,6316,6323,6324,6325,6326,6327,6328,6329,6330,6331,6421,6495,6496,6584,6623,6624,6666,6667,6805,6876,6896,6897,6904,6929,6954,6962,6964,6971,7013,7035,7036,7053,7054,7055,7091,7138,7139,7230,7294,7295,7296,7297,7313,7347,7359,7402,7403,7410,7415,7417,7426,7451,7452,7453,7454,7600,7601,7608,7610,7611,7612,7686,7812,7815,7817,7818,7834,7872,7992,8050,8070,8071,8089,8150,8246,8314,8315,8350,8384,8419,8420,8486,8511,8512,8513,8514,8555,8846,8847,8850,8899,9115,9130,9172,9230,9269,9303,9477,9491,9646,9743,9781,9978,5853,6402,6403,6498,6518,6519,6576,6895,6953,7176,7945,8507,8593,8825,8841,8842,8990,8991,9047,9048,9347,9348,9349,9350,9555,9803,9988,10218,6480,8409,8410,8887,8906,9804,4623,4660,4661,4664,4665,4710,4714,4718,4856,4857,4886,4916,4973,4975,5030,5043,5151,5171,5211,5212,5214,5217,5219,5220,5243,5308,5327,5462,5526,5527,5638,5639,5663,5664,5668,5701,5721,5729,5731,5745,5751,5834,5916,5983,6026,6071,6119,6231,6362,6527,6564,6741,6742,6891,7005,7181,7459,7794,7797,7965,7966,7967,8048,8807,9235,9317,9903,9904,4862,4872,5064,5365,5918,5987,5998,6020,6037,6098,6135,6227,6287])). % 197.50/197.49 cnf(13496,plain, % 197.50/197.49 (E(f341(x134961,f389(f249(f889(x134962,a874)),x134961,x134962,f341(x134961,x134963))),f341(x134961,x134963))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13499,plain, % 197.50/197.49 (E(f341(x134991,f389(f249(f889(x134992,a874)),x134991,x134992,f341(x134991,x134993))),f341(x134991,x134993))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13502,plain, % 197.50/197.49 (E(f341(x135021,f389(f249(f889(x135022,a874)),x135021,x135022,f341(x135021,x135023))),f341(x135021,x135023))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13505,plain, % 197.50/197.49 (E(f341(x135051,f389(f249(f889(x135052,a874)),x135051,x135052,f341(x135051,x135053))),f341(x135051,x135053))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13508,plain, % 197.50/197.49 (P1(f341(f341(f294(a1),f341(f116(a1),f341(a119,f341(f85(a1),x135081)))),x135081))), % 197.50/197.49 inference(rename_variables,[],[10858])). % 197.50/197.49 cnf(13514,plain, % 197.50/197.49 (~P1(f341(f341(f344(x135141),x135142),f341(f292(x135143,x135141,x135144),f341(f292(x135145,x135143,x135146),f193(f889(x135145,a874))))))), % 197.50/197.49 inference(rename_variables,[],[11289])). % 197.50/197.49 cnf(13517,plain, % 197.50/197.49 (~P1(f341(f341(f344(x135171),x135172),f341(f320(x135171,x135173,x135174),f193(f889(x135173,a874)))))), % 197.50/197.49 inference(rename_variables,[],[10983])). % 197.50/197.49 cnf(13523,plain, % 197.50/197.49 (E(f341(x135231,f389(f249(f889(x135232,a874)),x135231,x135232,f341(x135231,x135233))),f341(x135231,x135233))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13526,plain, % 197.50/197.49 (E(f341(x135261,f389(f249(f889(x135262,a874)),x135261,x135262,f341(x135261,x135263))),f341(x135261,x135263))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13529,plain, % 197.50/197.49 (E(f341(x135291,f389(f249(f889(x135292,a874)),x135291,x135292,f341(x135291,x135293))),f341(x135291,x135293))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13532,plain, % 197.50/197.49 (E(f341(x135321,f389(f249(f889(x135322,a874)),x135321,x135322,f341(x135321,x135323))),f341(x135321,x135323))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13537,plain, % 197.50/197.49 (P1(f341(f341(f242(a1),x135371),f341(f341(f91(a1),x135371),f89(a1))))), % 197.50/197.49 inference(rename_variables,[],[10915])). % 197.50/197.49 cnf(13540,plain, % 197.50/197.49 (E(f341(x135401,f389(f249(f889(x135402,a874)),x135401,x135402,f341(x135401,x135403))),f341(x135401,x135403))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13543,plain, % 197.50/197.49 (P1(f341(f341(f242(a1),x135431),f341(f341(f91(a1),x135431),f89(a1))))), % 197.50/197.49 inference(rename_variables,[],[10915])). % 197.50/197.49 cnf(13562,plain, % 197.50/197.49 (E(f341(x135621,f389(f249(f889(x135622,a874)),x135621,x135622,f341(x135621,x135623))),f341(x135621,x135623))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13567,plain, % 197.50/197.49 (~P1(f341(f341(f344(f888(x135671,x135672)),x135673),f341(f341(f296(x135671,x135674,x135672),f193(f889(f888(x135671,x135674),a874))),x135675)))), % 197.50/197.49 inference(rename_variables,[],[11358])). % 197.50/197.49 cnf(13587,plain, % 197.50/197.49 (E(f341(x135871,f389(f249(f889(x135872,a874)),x135871,x135872,f341(x135871,x135873))),f341(x135871,x135873))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13590,plain, % 197.50/197.49 (~P1(f341(f341(f344(x135901),x135902),f341(f292(x135903,x135901,x135904),f341(f292(x135905,x135903,x135906),f193(f889(x135905,a874))))))), % 197.50/197.49 inference(rename_variables,[],[11289])). % 197.50/197.49 cnf(13598,plain, % 197.50/197.49 (E(f341(x135981,f389(f249(f889(x135982,a874)),x135981,x135982,f341(x135981,x135983))),f341(x135981,x135983))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13601,plain, % 197.50/197.49 (~P1(f341(f341(f344(x136011),x136012),f341(f292(x136013,x136011,x136014),f341(f292(x136015,x136013,x136016),f193(f889(x136015,a874))))))), % 197.50/197.49 inference(rename_variables,[],[11289])). % 197.50/197.49 cnf(13607,plain, % 197.50/197.49 (~P1(f341(f341(f344(x136071),x136072),f341(f292(x136073,x136071,x136074),f341(f292(x136075,x136073,x136076),f193(f889(x136075,a874))))))), % 197.50/197.49 inference(rename_variables,[],[11289])). % 197.50/197.49 cnf(13619,plain, % 197.50/197.49 (E(f341(x136191,f389(f249(f889(x136192,a874)),x136191,x136192,f341(x136191,x136193))),f341(x136191,x136193))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13629,plain, % 197.50/197.49 (E(f341(x136291,f389(f249(f889(x136292,a874)),x136291,x136292,f341(x136291,x136293))),f341(x136291,x136293))), % 197.50/197.49 inference(rename_variables,[],[10999])). % 197.50/197.49 cnf(13659,plain, % 197.50/197.49 (~P1(f341(f193(f889(x136591,a874)),x136592))), % 197.50/197.49 inference(rename_variables,[],[10311])). % 197.50/197.49 cnf(13699,plain, % 197.50/197.49 ($false), % 197.50/197.49 inference(scs_inference,[],[3809,3555,3737,3579,4541,3314,3529,4026,10503,11190,13218,11192,11176,11660,12471,10999,13496,13499,13502,13505,13523,13526,13529,13532,13540,13562,13587,13598,13619,13629,11319,11289,13514,13590,13601,13607,11358,13567,10582,10980,10983,13517,12006,11213,12278,11835,11731,10449,13302,12259,12505,10311,13659,10269,13371,11858,12931,12190,10791,10858,13508,11842,12989,12290,10915,13537,13543,12228,11148,11553,10347,12208,12201,11744,10886,3106,4628,4769,4858,5040,5042,5045,5046,5271,5416,5510,5511,5622,5732,5735,5738,6028,6061,6221,6343,6468,6497,6534,6643,6832,7320,7729,7913,8710,9007,9050,9212,10073,4614,7509,8487,4754,5026,5202,5218,5383,5528,7085,7086,8817,8832,8833,5116,4843,6057,5102,4714,8628,9188,9237,5656,6026,6240,8032,8913,9908,6210,7358,5898,6070,6212,8379,5030,6055,7500,5806,6257,6370,6174,5217,4776,5919,6415,5240,8782,4694]), % 197.50/197.49 ['proof']). % 197.50/197.49 % SZS output end Proof % 197.50/197.49 % Total time :177.260000s %------------------------------------------------------------------------------